Piezoelectric transformer

Abstract: A piezoelectric transformer has a piezoelectric substrate (10) having first and second main faces (12,14). The substrate has first and second primary-side regions and a secondary-side region in its longitudinal direction in this order. The first region has a length of a half wavelength of stress distribution at the time of resonance in the longitudinal direction and has either positive or negative stress. The second region has a length of a half wavelength or less of the stress distribution and has either positive or negative stress. First and second electrodes (22,24) are respectively disposed on the first and second main faces in the first primary-side region, and the substrate between the first and second electrodes is polarized in the thicknesswise direction. Third and fourth electrodes (26,28) are respectively disposed on the first and second main faces in the second primary-side region, and the substrate between the third and fourth electrodes is polarized in the thicknesswise direction. A secondary-side electrode (72) is disposed in the secondary-side region, and the secondary-side region is polarized in the longitudinal direction. Directions of polarization and stress of the first and second regions and the electrical connection among the first to fourth electrode are determined in order for the second region to enhance the resonance of the substrate excited by the first region.

Description: The present invention relates to a piezoelectric transformer, and particularly to a piezoelectric transformer which is preferably used, for example, for driving a cold cathode fluorescent lamp (hereinafter referred to as CFL) which is used as a backlight for a liquid crystal display (hereinafter referred to as LCD) panel. Reductions in size and power consumption are required of portable devices equipped with LCD panels such as notebook type personal computers. A CFL which is widely used as a backlight for an LCD panel requires a high voltage of not less than 1 kV to initiate lighting and a high voltage of several hundred volts while it is continuously lit. To supply such high voltages, high voltage step-up wound transformers have been used, but they are reaching their performance limit in terms of efficiency, size and the like. Recently, a CFL lighting unit using a piezoelectric transformer of smaller size and higher efficiency has been developed for an LCD panel (see Nikkei Electronics,1994, Nov. 7 (No. 621), pp. 147-157). The piezoelectric transformer used in the unit has a structure called ROSEN type and still has an insufficient voltage step-up ratio, and hence the CFL lighting unit which has been put into practice uses a wound transformer in a stage preceding the piezoelectric transformer. FIGS. 1A to 1D are diagrams for explaining a conventional ROSEN type piezoelectric transformer element. FIG. 1A is a perspective view, FIG. 1B is a cross-sectional view, FIG. 1C is a graph showing stress distribution, and FIG. 1D is a graph showing amplitude distribution. A primary-side electrode 22 is disposed on the top face 12 of a rectangular parallelepipedic piezoelectric ceramics substrate 10 to cover the left (primary) half thereof, and also a primary-side electrode 24 is disposed on the bottom face 14 of the piezoelectric ceramics substrate 10 opposite to the primary-side electrode 22. The portion of the piezoelectric ceramics substrate 10 between the primary-side electrode 22 and the primary-side electrode 24 is polarized in the thicknesswise direction between the top face 12 and the bottom face 14. A secondary-side electrode 72 is disposed on a secondary-side end surface 17 perpendicular to both the top face 12 and the bottom face 14, and the portion of the piezoelectric ceramics substrate 10 between the secondary-side electrode 72 and the primary-side electrodes 22 and 24 is longitudinally polarized. One end of a power source 200 is connected to the primary-side electrode 22 via a connecting portion 122, and the other end of the power source 200 is connected to the primary-side electrode 24 via a connecting portion 124. The secondary-side electrode 72 is connected to a CFL 400 used as a load at one end thereof, and the other end of the CFL 400 is connected to the primary-side electrode 24 via a connecting portion 124. When a voltage from the power source 200 is applied between the primary-side electrodes 22 and 24, an electric field is applied to the left half of the piezoelectric ceramics substrate 10 in the thicknesswise direction thereof. This excites longitudinal vibration of the longitudinal direction due to a piezoelectric transverse effect involving a displacement perpendicular to the direction of polarization, whereby a piezoelectric transformer element 100 vibrates as a whole. Further, a mechanical distortion occurs within the right half of the piezoelectric ceramics substrate 10 in the longitudinal direction. This causes a voltage having the same frequency as that of the primary voltage applied between the primary-side electrodes 22 and 24 to be output from the secondary-side electrode 72 due to a piezoelectric longitudinal effect involving the generation of a potential difference in the direction of polarization. By applying a driving voltage having the same frequency as the resonant frequency of the piezoelectric transformer element 100 between the primary-side electrodes 22 and 24, a very high voltage step-up ratio can be obtained. However, in order to use a piezoelectric transformer using lead zirconate-titanate (PZT) ceramics as a step-up transformer for a CFL lighting inverter used in the LCD panel of an A4-sized notebook type personal computer, a considerably high input voltage must be applied. Accordingly, an obtained voltage step-up ratio has still been insufficient. Reference is made to US-A-3736446 and US-A-3689781, both of which disclose a piezoelectric transformer having a piezoelectric substrate, a pair of primary-side electrodes disposed on the top and bottom faces of the substrate in the primary-side and opposed to each other, and a secondary side electrode disposed on an end face of the secondary-side of the substrate, with the primary-side being polarized in the thickness-wise direction of the substrate and the secondary-side being polarized in the longitudinal direction. An additional electrode, serving as a feedback or secondary-side electrode, is disposed on the top face of the substrate in the primary-side region and opposed to the primary-side electrode disposed on the bottom side. It is a main object of the present invention to provide a piezoelectric transformer having a high voltage step-up ratio. This object is achieved by a piezoelectric transformer according to claims 1 or 14. Preferred embodiments are set out in the dependent claims. For a better understanding of the present invention and to show how the same may be carried into effect, reference will now be made, by way of example, to the accompanying drawings, in which:- FIGS. 1A to 1D are diagrams for explaining a conventional piezoelectric transformer element, wherein FIG. 1A is a perspective view, FIG. 1B is a cross-sectional view, FIG. 1C is a graph showing stress distribution, and FIG. 1D is a graph showing amplitude distribution; FIGS. 2A to 2D are diagrams for explaining a piezoelectric transformer element according to a first embodiment of the present invention, wherein FIG. 2A is a perspective view, FIG. 2B is a cross-sectional view, FIG. 2C is a graph showing stress distribution, and FIG. 2D is a graph showing amplitude distribution; FIG. 3 is a graph showing the relationship between an input voltage supplied to the piezoelectric transformer element according to the first embodiment and the brightness of a cold cathode fluorescent lamp; FIGS. 4A to 4E are diagrams for explaining piezoelectric transformer elements according to a second embodiment through a fourth embodiment of the present invention, wherein FIG. 4A is a cross-sectional view showing a piezoelectric transformer element according to the second embodiment, FIG. 4B is a cross-sectional view showing a piezoelectric transformer element according to the third embodiment, FIG. 4C is a cross-sectional view showing a piezoelectric transformer element according to the fourth embodiment, FIG. 4D is a graph showing stress distribution of the piezoelectric transformer elements of FIGS. 4A to 4C, and FIG. 4E is a graph showing amplitude distribution of the piezoelectric transformer elements of FIGS. 4A to 4C; FIGS. 5A to 5C are diagrams for explaining a piezoelectric transformer element according to a fifth embodiment of the present invention, wherein FIG. 5A is a cross-sectional view, FIG. 5B is a graph showing stress distribution, and FIG. 5C is a graph showing amplitude distribution; FIGS. 6A to 6D are diagrams for explaining a piezoelectric transformer element according to a sixth embodiment of the present invention, wherein FIG. 6A is a perspective view, FIG. 6B is a cross-sectional view, FIG. 6C is a graph showing stress distribution, and FIG. 6D is a graph showing amplitude distribution; FIGS. 7A to 7B are diagrams for explaining piezoelectric transformer elements according to a seventh embodiment and an eighth embodiment of the present invention, wherein FIG. 7A is a cross-sectional view showing a piezoelectric transformer element according to the seventh embodiment, FIG. 7B is a cross-sectional view showing a piezoelectric transformer element according to the eighth embodiment, FIG. 7C is a graph showing stress distribution of the piezoelectric transformer elements of FIGS. 7A and 7B, and FIG. 7D is a graph showing amplitude distribution of the piezoelectric transformer elements of FIGS. 7A and 7B; FIG. 8 is a perspective view showing a piezoelectric transformer element according to a ninth embodiment of the present invention; FIG. 9 is a perspective view showing a piezoelectric transformer element according to a tenth embodiment of the present invention; FIGS. 10A to 10C are diagrams for explaining a piezoelectric transformer element according to an eleventh embodiment of the present invention and a driving method therefor, wherein FIG. 10A is a perspective view, FIG. 10B is a graph showing stress distribution, and FIG. 10C is a graph showing amplitude distribution; FIGS. 11A to 11D are diagrams for explaining a piezoelectric transformer element according to a twelfth embodiment of the present invention, wherein FIG. 11A is a perspective view, FIG. 11B is a cross-sectional view, FIG. 11C is a graph showing stress distribution, and FIG. 11D is a graph showing amplitude distribution; FIGS. 12A to 12D are diagrams for explaining a piezoelectric transformer element according to a thirteenth embodiment of the present invention, wherein FIG. 12A is a perspective view, FIG. 12B is a cross-sectional view, FIG. 12C is a graph showing stress distribution, and FIG. 12D is a graph showing amplitude distribution; FIG. 13 is a perspective view for explaining a manufacturing method for the piezoelectric transformer element according to the thirteenth embodiment; FIG. 14 is a graph showing the relationship between an input voltage supplied to the piezoelectric transformer element according to the thirteenth embodiment and luminance of a cold cathode fluorescent lamp; FIGS. 15A to 15D are diagrams for explaining a piezoelectric transformer element according to a fourteenth embodiment of the present invention, wherein FIG. 15A is a perspective view, FIG. 15B is a cross-sectional view, FIG. 15C is a graph showing stress distribution, and FIG. 15D is a graph showing amplitude distribution; FIGS. 16A to 16D are diagrams for explaining piezoelectric transformer elements according to a fifteenth embodiment and a sixteenth embodiment of the present invention, wherein FIG. 16A is a cross-sectional view showing a piezoelectric transformer element according to the fifteenth embodiment, FIG. 16B is a cross-sectional view showing a piezoelectric transformer element according to the sixteenth embodiment, FIG. 16C is a graph showing stress distribution of the piezoelectric transformer elements of FIGS. 16A and 16B, and FIG. 16D is a graph showing amplitude distribution of the piezoelectric transformer elements of FIGS. 16A and 16B; FIGS. 17A to 17D are diagrams for explaining a piezoelectric transformer element according to a seventeenth embodiment of the present invention, wherein FIG. 17A is a perspective view, FIG. 17B is a cross-sectional view, FIG. 17C is a graph showing stress distribution, and FIG. 17D is a graph showing amplitude distribution; FIGS. 18A to 18C are diagrams for explaining a piezoelectric transformer element according to an eighteenth embodiment of the present invention, wherein FIG. 18A is a cross-sectional view, FIG. 18B is a graph showing stress distribution, and FIG. 18C is a graph showing amplitude distribution; FIGS. 19A to 19E are diagrams for explaining a piezoelectric transformer element according to a nineteenth embodiment of the present invention, wherein FIG. 19A is a perspective top view, FIG. 19B is a perspective bottom view, Fig. 19C is a cross-sectional view, FIG. 19D is a graph showing stress distribution, and FIG. 19E is a graph showing amplitude distribution; FIGS. 20A to 20D are cross-sectional views for explaining a manufacturing method for the piezoelectric transformer element according to the nineteenth embodiment; FIGS. 21A to 21E are diagrams for explaining a piezoelectric transformer element according to a twentieth embodiment of the present invention, wherein FIG. 21A is a perspective top view, FIG. 21B is a perspective bottom view, Fig. 21C is a cross-sectional view, FIG. 21D is a graph showing stress distribution, and FIG. 21E is a graph showing amplitude distribution; FIG. 22 is a cross-sectional view for explaining a piezoelectric transformer element according to a twenty-first embodiment of the present invention; FIGS. 23A to 23D are diagrams for explaining a piezoelectric transformer element according to a twenty-second embodiment of the present invention, wherein FIG. 23A is a perspective view, FIG. 23B is a cross-sectional view, FIG. 23C is a graph showing stress distribution, and FIG. 23D is a graph showing amplitude distribution; FIG. 24 is a perspective view for explaining a piezoelectric transformer according to a twenty-third embodiment of the present invention; FIG. 25 is a perspective view for explaining a piezoelectric transformer according to a twenty-fourth embodiment of the present invention; FIG. 26 is a perspective view for explaining a piezoelectric transformer according to a twenty-fifth embodiment of the present invention; FIGS. 27A to 27D are diagrams for explaining a piezoelectric transformer element according to a twenty-sixth embodiment of the present invention, wherein FIG. 27A is a perspective view, FIG. 27B is a cross-sectional view, FIG. 27C is a graph showing stress distribution, and FIG. 27D is a graph showing amplitude distribution; FIG. 28 is a perspective view for explaining a piezoelectric transformer element according to a twenty-seventh embodiment of the present invention; FIG. 29 is a perspective view for explaining a piezoelectric transformer element and its mounting method according to a twenty-eighth embodiment of the present invention; FIG. 30 is a graph showing the primary-side impedance characteristic of a piezoelectric transformer element according to the twenty-eighth embodiment suspended with lead wires; FIG. 31 is a graph showing the primary-side impedance characteristic of the piezoelectric transformer element according to the twenty-eighth embodiment mounted as shown in Fig. 29; FIG. 32 is a graph showing the secondary-side impedance characteristic of a piezoelectric transformer element according to the twenty-eighth embodiment suspended with lead wires; FIG. 33 is a graph showing the secondary-side impedance characteristic of the piezoelectric transformer element according to the twenty-eighth embodiment mounted as shown in Fig. 29; FIG. 34 is a perspective view for explaining a piezoelectric transformer according to a twenty-ninth embodiment of the present invention; FIG. 35 is a perspective view for explaining a piezoelectric transformer according to a thirtieth embodiment of the present invention; FIG. 36 is a perspective view for explaining a piezoelectric transformer according to a thirty-first embodiment of the present invention; FIG. 37 is a perspective view for explaining a piezoelectric transformer according to a thirty-second embodiment of the present invention; FIG. 38 is a perspective view for explaining a piezoelectric transformer element according to a thirty-third embodiment of the present invention; FIGS. 39A to 39B are diagrams for explaining a piezoelectric transformer element according to a thirty-fourth embodiment of the present invention, wherein FIG. 39A is a perspective view and FIG. 39B is a cross-sectional view; FIGS. 40A to 40D are diagrams for explaining a piezoelectric transformer element according to a thirty-fifth embodiment of the present invention, wherein FIG. 40A is a perspective view, FIG. 40B is a cross-sectional view, FIG. 40C is a graph showing stress distribution, and FIG. 40D is a graph showing amplitude distribution; FIGS. 41A to 41C are diagrams for explaining a piezoelectric transformer according to a thirty-sixth embodiment of the present invention, wherein FIG. 41A is a perspective view, FIG. 41B is a graph showing stress distribution, and FIG. 41C is a graph showing amplitude distribution; FIG 42 is a perspective view for explaining a manufacturing method for the piezoelectric transformer element according to the thirty-sixth embodiment; and FIGS. 43A to 43E are diagrams for explaining a piezoelectric transformer element according to a thirty-seventh embodiment of the present invention, wherein FIG. 43A is a top view, FIG. 43B is a bottom view, Fig. 43C is a cross-sectional view along the line Z-Z of FIG. 43C, FIG. 43D is a graph showing stress distribution, and FIG. 43E is a graph showing amplitude distribution. First embodiment: As shown in FIGS. 2A and 2B, a primary-side electrode 22 is disposed on the top face 12 of a rectangular parallelepipedic piezoelectric ceramics substrate 10 to cover the left (primary) half thereof, and also a primary-side electrode 24 is disposed on the bottom face 14 of the piezoelectric ceramics substrate 10 opposite to the primary-side electrode 22, and the portion of the piezoelectric ceramics substrate 10 between the primary-side electrode 22 and the primary-side electrode 24 is polarized in the thicknesswise direction between the top face 12 and the bottom face 14. A primary-side electrode 26 is disposed on the top face 12 of the piezoelectric ceramics substrate 10 such that the primary-side electrode 26 extends in the longitudinal direction of the piezoelectric ceramics substrate 10 from a position located half the length of the piezoelectric ceramics substrate 10 as measured from a primary-side end surface 16 to a position located 3/4 of the length of the piezoelectric ceramics substrate 10 as measured from the primary-side end surface 16, and also a primary-side electrode 28 is disposed on the bottom face 14 of the piezoelectric ceramics substrate 10 opposite to the primary-side electrode 26. The primary-side electrode 26 is disposed in separation from the primary-side electrode 22, and the primary-side electrode 28 is disposed in separation from the primary-side electrode 24. The portion of the piezoelectric ceramics substrate 10 between the primary-side electrode 26 and the primary-side electrode 28 is polarized in the thicknesswise direction between the top face 12 and the bottom face 14. The portion of the piezoelectric ceramics substrate 10 between the primary-side electrode 22 and the primary-side electrode 24 is polarized in the same direction as in the portion between the primary-side electrode 26 and the primary-side electrode 28. A secondary-side electrode 72 is disposed on a secondary-side end surface 17 perpendicular to both the top face 12 and the bottom face 14, and the portion of the piezoelectric ceramics substrate 10 between the secondary-side electrode 72 and the near edges of the primary-side electrodes 26 and 28 is longitudinally polarized. One end of a power source 200 is connected to the primary-side electrode 22 via a connecting portion 122, and to the primary-side electrode 28 via a connecting portion 128. The other end of the power source 200 is connected to the primary-side electrode 24 via a connecting portion 124, and to the primary-side electrode 26 via a connecting portion 126. The secondary-side electrode 72 is connected to a load 400 at one end thereof, and the other end of the load 400 is connected to the other end of the power source 200. When a voltage from the power source 200 is applied between the primary-side electrode 22 and the primary-side electrode 24, an electric field is applied to the left half of the piezoelectric ceramics substrate 10 in the thicknesswise direction thereof, which excites longitudinal vibration in the longitudinal direction due to a piezoelectric transverse effect involving a displacement perpendicular to the direction of polarization, whereby a piezoelectric transformer element 100 vibrates as a whole. The piezoelectric transformer element according to the present embodiment can be driven in such a resonance mode that one wavelength of stress distribution exists between the primary-side end surface 16 and the secondary-side end surface 17. A voltage having a frequency equal to a resonant frequency of the one wavelength type resonance mode is applied from the power source 200. In the present embodiment, support points are located a quarter wavelength to the right of the primary-side end surface 16 and a quarter wavelength to the left of the secondary-side end surface 17. Since the primary-side and secondary-side end surfaces 16 and 17 of the piezoelectric ceramics substrate 10 are open, at both longitudinal ends of the piezoelectric ceramics substrate 10, stress is zero and amplitude is maximized. Also, since the piezoelectric ceramics substrate 10 is resonated in the one wavelength mode in the present embodiment, stress and amplitude distributions are as shown in FIGS. 2C and 2D, respectively. In the present embodiment, the primary-side electrodes 26 and 28 are provided in addition to the primary-side electrodes 22 and 24. Thus, the area of electrodes at primary side "a" becomes greater than that of a conventional piezoelectric transformer element of FIG. 1, and the input impedance of the piezoelectric transformer element 100 becomes smaller accordingly. As a result, electrical energy from the power source 200 is more readily fed to the piezoelectric transformer element 100. Also, stress within that region provided with the primary-side electrodes 22 and 24 is directed to the top face 12 of the piezoelectric ceramics substrate 10, while stress within that region provided with the primary-side electrodes 26 and 28 is directed to the bottom face 14 of the piezoelectric ceramics substrate 10, i.e. oppositely to the stress within that region provided with the primary-side electrodes 22 and 24. The portion of the piezoelectric ceramics substrate 10 between the primary-side electrode 26 and the primary-side electrode 28 is polarized in the same direction as in the portion between the primary-side electrode 22 and the primary-side electrode 24, but an electric field is applied oppositely. Accordingly, when a voltage from the power source 200 is applied between the primary-side electrode 26 and the primary-side electrode 28, the portion of the piezoelectric ceramics substrate 10 between the primary-side electrode 26 and the primary-side electrode 28 vibrates so as to enhance resonance which is excited by applying a voltage from the power source 200 between the primary-side electrode 22 and the primary-side electrode 24. As a result, electrical energy fed from the power source 200 can be more efficiently converted to mechanical elastic energy at the primary side "a". Furthermore, as a result of disposing the primary-side electrodes 26 and 28, a region of secondary side "b" is shortened in the longitudinal direction, and consequently the output impedance becomes smaller. As the output impedance of the piezoelectric transformer element 100 becomes smaller, voltage to be applied to the load 400 connected to the secondary-side electrode 72 of the piezoelectric transformer element 100 becomes greater accordingly. As has been describe above, the primary-side electrodes 26 and 28 are disposed in the region where stress is directed oppositely to that in the region provided with the primary-side electrodes 22 and 24, the portion of the piezoelectric ceramics substrate 10 between the primary-side electrode 26 and the primary-side electrode 28 is polarized in the same direction as in the portion between the primary-side electrode 22 and the primary-side electrode 24, and an electric field is oppositely applied. As a result, the input impedance of the piezoelectric transformer element 100 becomes smaller with a resultant improved feed of electrical energy from the power source 200 to the piezoelectric transformer element 100, input electrical energy is more efficiently converted to mechanical elastic energy at the primary side "a", and the output impedance becomes smaller with a resultant increase in voltage to be applied to the load 400 which is connected to the piezoelectric transformer element 100 at the secondary side "b". Thus, the effective voltage step-up ratio of the piezoelectric transformer element 100 can be increased. Further, as a result of disposing the primary-side electrodes 26 and 28 as in the present embodiment, the distance between primary-side and secondary-side electrodes becomes shorter, and consequently when the portion of the piezoelectric ceramics substrate 10 between the secondary-side electrode 72 and the near edges of the primary-side electrodes 26 and 28 is longitudinally polarized, an absolute voltage applied for the polarization becomes smaller as compared to that of the conventional piezoelectric transformer element of FIG. 1 which is not provided with the primary-side electrodes 26 and 28. As a result, a countermeasure to high voltages is easy to implement, and a power source outputting a lower voltage can be employed for polarization. The piezoelectric transformer is also effective, when the load 400 connected to the piezoelectric transformer element 100 at the secondary side "b" is a CFL. A CFL 400 requires a high voltage of not less than 1 kV to initiate its discharge. On the other hand, the voltage step-up ratio of the piezoelectric transformer element 100 is proportional to a quality coefficient Qm of a resonator. Since the impedance of the CFL 400 is near infinite before discharge is initiated, the voltage step-up ratio is proportional to Qm of the piezoelectric transformer element 100 itself, and hence a large voltage step-up ratio is available. Accordingly, even though a voltage step-up ratio dependent on the shape of the secondary region becomes smaller due to the shortened distance between the primary-side and secondary-side electrodes caused by disposing the primary-side electrodes 26 and 28 as in the present embodiment, a discharge voltage can be readily built up because Qm of the resonator itself makes a significant contribution to the voltage step-up ratio at the time of initiating discharge. Once discharge is initiated, the impedance of the CFL 400 drops; however, since the output impedance of the piezoelectric transformer element 100 becomes smaller as a result of disposing the primary-side electrodes 26 and 28 as in the present embodiment, the voltage applied to the CFL 400 can be increased accordingly. Also, as a result of disposing the primary-side electrodes 26 and 28 as in the present invention, by adjusting the size or the like of the primary-side electrodes 26 and 28 disposed as in the present embodiment, not only the voltage step-up ratio of the piezoelectric transformer element 100 but also the output impedance can be adjusted, thereby improving degrees of freedom in design. In the present embodiment, support points are located at vibrational nodes 202, 204 of the piezoelectric transformer element 100, thereby minimizing hindrance to vibration of the piezoelectric transformer element 100 which occurs by the support of the piezoelectric transformer element 100. Further, in the present embodiment, the connecting portions 122 and 124 to the primary-side electrodes 22 and 24, respectively, and electrode terminals provided at the connecting portions 122 and 124 are located at the vibrational node 202, and the connecting portions 126 and 128 to the primary-side electrodes 26 and 28, respectively, and electrode terminals provided at the connecting portions 126 and 128 are located at the vibrational node 204, thereby preventing the electric connecting portions from hindering vibration. In the present embodiment, piezoelectric ceramics of Pb(Ni 1/3 Nb 2/3 )O 3 -Pb(Zn 1/3 Nb 2/3 )O 3 -PbTiO 3 -PbZrO 3 fabricated by firing was cut into a rectangular parallelepiped measuring 20 mm in length x 5 mm in width x 1 mm in thickness to make the piezoelectric ceramics substrate 10. Next, silver was applied on to the top face 12 and the bottom face 14 of the piezoelectric ceramics substrate 10 by screen printing, and onto the secondary-side end surface 17 by brushing. Then, the thus prepared piezoelectric ceramics substrate 10 was baked at 600°C in the air to form the primary-side electrodes 22 and 26 on the top face 12 thereof, the primary-side electrodes 24 and 28 on the bottom face 14 thereof, and the secondary-side electrode 72 on the secondary-side end surface 17 thereof. Subsequently, a voltage of 2 kV DC was applied at 100°C between the primary-side electrode 22 and the primary-side electrode 24 and also between the primary-side electrode 26 and the primary-side electrode 28 to polarize the portion of the piezoelectric ceramics substrate 10 between the primary-side electrode 22 and the primary-side electrode 24 in the thicknesswise direction and to polarize the portion of the piezoelectric ceramics substrate 10 between the primary-side electrode 26 and the primary-side electrode 28 in the thicknesswise direction. Then, the primary-side electrode 26 and the primary-side electrode 28 were connected to the positive terminal of a high-voltage DC power source, the secondary-side electrode 72 was connected to the negative terminal of the high-voltage DC power source, and a voltage of 10 kV was then applied at 100°C to longitudinally polarize the portion of the piezoelectric ceramics substrate 10 between the secondary-side electrode 72 and the near edges of the primary-side electrodes 26 and 28. Then, one end of the power source 200 was connected to the primary-side electrode 22 via the connecting portion 122 and to the primary-side electrode 28 via the connecting portion 128, and the other end of the power source 200 was connected to the primary-side electrode 24 via the connecting portion 124 and to the primary-side electrode 26 via the connecting portion 126. The secondary-side electrode 72 was connected to one end of the CFL 400, and the other end the CFL 400 was connected to the other end of the power source 200. The CFL 400 used was a CFL measuring 225 mm in length x 2.6 mm in diameter for use with an A4-sized notebook type personal computer. With the piezoelectric transformer element 100 being supported at the vibrational nodes 202 and 204, a voltage having a frequency of 160 kHz was applied from the power source 200 to the piezoelectric transformer element 100 to measure the relationship between the input voltage to the piezoelectric transformer element 100 and the luminance of the CFL 400. These measurements are shown in FIG. 3 (curve P). In FIG. 3, for comparison, measurements are also shown for the piezoelectric transformer element 100 of FIG. 2 which is not provided with the primary-side electrodes 26 and 28 and in which the portion of the piezoelectric ceramics substrate 10 between the secondary-side electrode 72 and the primary-side electrodes 22 and 24 is longitudinally polarized (curve Q). The piezoelectric transformer not provided with the primary-side electrodes 26 and 28 required an input voltage of 66 V rms to obtain a luminance of 27,000 cd/m 2 in the CFL 400, while the present embodiment required an input voltage of 30 V rms to obtain the same luminance. Lighting of the CFL 400 was able to be initiated at an input voltage of approximately 15 V rms . Second to fifth embodiments: As shown in FIG. 4A, a second embodiment is different from the first embodiment in that the primary-side electrodes 26 and 28 are lengthened to bring ends thereof on the side of the secondary-side electrode 72 closer to the secondary-side electrode 72 than in the first embodiment, but other features and the manufacturing method are the same. As shown in FIG. 4B, a third embodiment is different from the first embodiment in that the primary-side electrodes 26 and 28 are shortened to keep ends thereof on the side of the secondary-side electrode 72 further away from the secondary-side electrode 72 than in the first embodiment, but other features and the manufacturing method are the same. As shown in FIG. 4C, a fourth embodiment is different from the first embodiment in that the primary-side electrodes 26 and 28 are shortened to keep ends thereof on the side of the primary-side electrode 16 further away from primary-side electrodes 22 and 24, respectively, than in the first embodiment, while the distance between the ends of the primary-side electrodes 26 and 28 on the side of the secondary-side electrode 72 and the secondary-side electrode 72 is identical to that of the first embodiment. Other features and the manufacturing method are the same. As shown in FIGS. 5A to 5C, a fifth embodiment is different from the fourth embodiment in that the primary-side electrodes 26 and 28 are lengthened by a predetermined length to bring ends thereof on the side of the secondary-side electrode 72 closer to the secondary-side electrode 72 than in the fourth embodiment, but other features and the manufacturing method are the same. According to the fifth embodiment, the positions and sizes of the primary-side electrodes 26 and 28 are determined to facilitate adjusting the input and output impedances, providing support points for the piezoelectric ceramics substrate 10, and leading out lead wires. Also, in the second to fifth embodiments, the primary-side electrodes 26 and 28 are disposed in a region where stress is directed oppositely to that in a region provided with the primary-side electrodes 22 and 24, the portion of the piezoelectric ceramics substrate 10 between the primary-side electrode 26 and the primary-side electrode 28 is polarized in the same direction as in the portion between the primary-side electrode 22 and the primary-side electrode 24, and an electric field is oppositely applied. As a result the input impedance of the piezoelectric transformer element 100 becomes smaller with a resultant improved feed of electrical energy from the power source 200 to the piezoelectric transformer element 100, input electrical energy is more efficiently converted to mechanical elastic energy at primary side "a", and the output impedance becomes smaller with a resultant increase in voltage to be applied to a load 400 which is connected to the piezoelectric transformer element 100 at secondary side "b". Thus, the effective voltage step-up ratio of the piezoelectric transformer element 100 can be increased. In the second embodiment, since the primary-side electrodes 26 and 28 are lengthened, the area of electrodes at the primary side "a" becomes greater than that of the piezoelectric transformer element 100 according to the first embodiment, and the input impedance of the piezoelectric transformer element 100 becomes smaller accordingly. Also, electrical energy fed from the power source 200 can be more efficiently converted to mechanical elastic energy at the primary side "a" than in the first embodiment. Further, since the ends of the primary-side electrodes 26 and 28 on the side of the secondary-side electrode 72 are brought closer to the secondary-side electrode 72 than in the first embodiment, a region of the secondary side "b" is longitudinally shortened; consequently, the output impedance becomes much smaller. As a result, a larger voltage can be applied to the load 400 which is connected to the piezoelectric transformer element 100 at the secondary side "b", whereby the effective voltage step-up ratio of the piezoelectric transformer element 100 can be increased. In the third embodiment, since the ends of the primary-side electrodes 26 and 28 on the side of the secondary-side electrode 72 are kept further away from the secondary-side electrode 72 than in the first embodiment, a larger voltage can be built up on the secondary side, whereby the voltage step-up ratio of the piezoelectric transformer element 100 can be further increased. Sixth embodiment: As shown in FIGS. 6A and 6B, a primary-side electrode 32 is disposed on the top face 12 of a rectangular parallelepipedic piezoelectric ceramics substrate 10 to cover a left 1/3 region, a primary-side electrode 34 is disposed on the bottom face 14 of the piezoelectric ceramics substrate 10 opposite to the primary-side electrode 32, and the portion of the piezoelectric ceramics substrate 10 between the primary-side electrode 32 and the primary-side electrode 34 is polarized in the thicknesswise direction between the top face 12 and the bottom face 14. Further, a primary-side electrode 36 is disposed on the top face 12 of the piezoelectric ceramics substrate 10 such that the primary-side electrode 36 extends in the longitudinal direction of the piezoelectric ceramics substrate 10 from a position located 1/3 of the length of the piezoelectric ceramics substrate 10 as measured from a primary-side end surface 16 to a position located 2/3 of the length of the piezoelectric ceramics substrate 10 as measured from the primary-side end surface 16, and also a primary-side electrode 38 is disposed on the bottom face 14 of the piezoelectric ceramics substrate 10 opposite to the primary-side electrode 36. The primary-side electrode 36 is disposed in separation from the primary-side electrode 32, and the primary-side electrode 38 is disposed in separation from the primary-side electrode 34. The portion of the piezoelectric ceramics substrate 10 between the primary-side electrode 36 and the primary-side electrode 38 is polarized in the thicknesswise direction between the top face 12 and the bottom face 14. And further, a primary-side electrode 42 is disposed on the top face 12 of the piezoelectric ceramics substrate 10 such that the primary-side electrode 42 extends in the longitudinal direction of the piezoelectric ceramics substrate 10 from a position located 2/3 of the length of the piezoelectric ceramics substrate 10 as measured from the primary-side end surface 16 to a position located 5/6 of the length of the piezoelectric ceramics substrate 10 as measured from the primary-side end surface 16, and also a primary-side electrode 42 is disposed on the bottom face 14 of the piezoelectric ceramics substrate 10 opposite to the primary-side electrode 42. The primary-side electrode 42 is disposed in separation from the primary-side electrode 36, and the primary-side electrode 44 is disposed in separation from the primary-side electrode 38. The portion of the piezoelectric ceramics substrate 10 between the primary-side electrode 42 and the primary-side electrode 44 is polarized in the thicknesswise direction. The portion of the piezoelectric ceramics substrate 10 between the primary-side electrode 32 and the primary-side electrode 34, the portion of the piezoelectric ceramics substrate 10 between the primary-side electrode 36 and the primary-side electrode 38, and the portion of the piezoelectric ceramics substrate 10 between the primary-side electrode 42 and the primary-side electrode 44 are polarized in the same direction. A secondary-side electrode 72 is disposed on the secondary-side end surface 17 perpendicular to both the top face 12 and the bottom face 14, and the portion of the piezoelectric ceramics substrate 10 between the secondary-side electrode 72 and the primary-side electrodes 42 and 44 is longitudinally polarized. One end of a power source 200 is connected to the primary-side electrode 32 via a connecting portion 132, to the primary-side electrode 38 via a connecting portion 138, and to the primary-side electrode 42 via a connecting portion 142. The other end of the power source 200 is connected to the primary-side electrode 34 via a connecting portion 134, to the primary-side electrode 36 via a connecting portion 136, and to the primary-side electrode 44 via a connecting portion 144. The secondary-side electrode 72 is connected to a load 400 at one end thereof, and the other end of the load 400 is connected to the other end of the power source 200. When a voltage from the power source 200 is applied between the primary-side electrode 32 and the primary-side electrode 34, an electric field is applied to the left 1/3 region of the piezoelectric ceramics substrate 10 in the thicknesswise direction thereof, which excites longitudinal vibration in the longitudinal direction due to a piezoelectric transverse effect involving a displacement perpendicular to the direction of polarization, whereby a piezoelectric transformer element 100 vibrates as a whole. A piezoelectric transformer according to the present embodiment can be driven in such a resonance mode that 1.5 wavelength of stress distribution exists between the primary-side end surface 16 and the secondary-side end surface 17. A voltage having a frequency equal to a resonant frequency of the 1.5 wavelength type resonance mode is applied from the power source 200. In the present embodiment, a support point is located a quarter wavelength to the right of the primary-side end surface 16, three-thirds wavelength to the right of the primary-side end surface 16, and a quarter wavelength to the left of the secondary-side end surface 17. Since the primary-side and secondary-side end surfaces 16 and 17 of the piezoelectric ceramics substrate 10 are open, at both longitudinal ends of the piezoelectric ceramics substrate 10, stress is zero and amplitude is maximized. Also, since the piezoelectric ceramics substrate 10 is resonated in the 1.5 wavelength mode in the present embodiment, stress and amplitude distributions are as shown in FIGS. 6C and 6D, respectively. In the present embodiment, the area of electrodes at primary side a becomes greater, and the input impedance of the piezoelectric transformer element 100 becomes smaller accordingly. As a result, electrical energy from the power source 200 is more readily fed to the piezoelectric transformer element 100. Also, stress within that region provided with the primary-side electrodes 32 and 34 is directed to the top face 12 of the piezoelectric ceramics substrate 10, while stress within that region provided with the primary-side electrodes 36 and 38 is directed to the bottom face 14 of the piezoelectric ceramics substrate 10, i.e. oppositely to the stress within that region provided with the primary-side electrodes 32 and 34. The portion of the piezoelectric ceramics substrate 10 between the primary-side electrode 36 and the primary-side electrode 38 is polarized in the same direction as in that portion between the primary-side electrode 32 and the primary-side electrode 34, but an electric field is applied oppositely. Accordingly, when a voltage from the power source 200 is applied between the primary-side electrode 36 and the primary-side electrode 38, the portion of the piezoelectric ceramics substrate 10 between the primary-side electrode 36 and the primary-side electrode 38 vibrates so as to enhance resonance which is excited by applying a voltage from the power source 200 between the primary-side electrodes 32 and 34. Likewise, the primary-side electrodes 42 and 44 also contribute to further enhancement of resonance. As a result, electrical energy fed from the power source 200 can be more efficiently converted to mechanical elastic energy at the primary side "a". Furthermore, as a result of disposing the primary-side electrodes 42 and 44, a region of secondary side "b" is shortened in the longitudinal direction, and consequently the output impedance becomes smaller. As the output impedance of the piezoelectric transformer element 100 becomes smaller, voltage to be applied to the load 400 connected to the secondary-side electrode 72 of the piezoelectric transformer element 100 becomes greater accordingly. Further, as a result of disposing the primary-side electrodes 42 and 44 as in the present embodiment, the distance between primary-side and secondary-side electrodes becomes shorter, and consequently when the portion of the piezoelectric ceramics substrate 10 between the secondary-side electrode 72 and the primary-side electrodes 42 and 44 is longitudinally polarized, an absolute voltage applied for the polarization becomes smaller as compared to that case not provided with the primary-side electrodes 42 and 44. As a result, a countermeasure to high voltages is easy to implement, and a power source outputting a lower voltage can be employed for polarization. In the present embodiment, support points are located at vibrational nodes 212, 214 and 216 of the piezoelectric transformer element 100, thereby minimizing hindrance to vibration of the piezoelectric transformer element 100 which occurs by the support of the piezoelectric transformer element 100. Further, in the present embodiment, the connecting portions 132 and 134 to the primary-side electrodes 32 and 34, and electrode terminals provided at the connecting portions 132 and 134 are located at the vibrational node 212, the connecting portions 136 and 138 of the primary-side electrodes 36 and 38, and electrode terminals provided at the connecting portions 136 and 138 are located at the vibrational node 214, and the connecting portions 142 and 144 to the primary-side electrodes 42 and 44, and electrode terminals provided at the connecting portions 142 and 144 are located at the vibrational node 216, thereby preventing the electric connecting portions from hindering vibration. The manufacturing method for the piezoelectric transformer element 100 according to the present embodiment is the same as that for the first embodiment. Seventh and eighth embodiments: As shown in FIG. 7A, a seventh embodiment is different from the sixth embodiment in that the primary-side electrodes 42 and 44 of the sixth embodiment are not disposed to polarize the portion of a piezoelectric ceramics substrate 10 between a secondary-side electrode 72 and the near edges of primary-side electrodes 36 and 38 and in a longitudinal direction, i.e. in the extending direction of a top face 12 and a bottom face 14, but other features and the manufacturing method are the same. As shown in FIG. 7B, an eighth embodiment is different from the seventh embodiment in that the primary-side electrodes 36 and 38 are shortened to keep ends thereof on the side of the secondary-side electrode 72 further away from the secondary-side electrode 72, but other features and the manufacturing method are the same. Ninth and tenth embodiments: FIG. 8 is a perspective view showing a piezoelectric transformer according to a ninth embodiment. The ninth embodiment is different from the first embodiment in which the secondary-side electrode 72 is disposed on the secondary-side end surface 17 of the piezoelectric ceramics substrate 10, in that a secondary-side electrode 74 is disposed on a top face 12 of a piezoelectric ceramics substrate 10, a secondary-side electrode 76 is disposed on a bottom face 41 of the piezoelectric ceramics substrate 10, and the secondary-side electrodes 74 and 76 are electrically connected to each other and are connected to one end of a load 400, but other features and the manufacturing method are the same. FIG. 9 is a perspective view showing a piezoelectric transformer according to a tenth embodiment. The tenth embodiment is different from the first embodiment in which the secondary-side electrode 72 is disposed on the secondary-side end surface 17 of the piezoelectric ceramics substrate 10, in that a secondary-side electrode 74 is disposed on the top face 12 of a piezoelectric ceramics substrate 10 and connected to one end of a load 400, but other features and the manufacturing method are the same. As a result of disposing the secondary-side electrode 74 on the top face 12 of the piezoelectric ceramics substrate 10, the primary-side electrodes 22 and 26 and the secondary-side electrode 74 can be formed in the same process, and as a result of disposing the secondary-side electrode 76 on the bottom face 14 of the piezoelectric ceramics substrate 10, the primary-side electrodes 24 and 28 and the secondary-side electrode 76 can be formed in the same process, whereby there is no need for preparing separate processes for the secondary-side electrodes 74 and 76. Also, by adjusting the area of the secondary-side electrodes 74 and 76, the distance to the primary-side electrodes 26 and 28 can be adjusted; consequently, the output impedance of the piezoelectric transformer element 100 can be adjusted. On the other hand, the resonant frequency of the piezoelectric transformer element 100 is determined by the length of the piezoelectric ceramics substrate 10 in the longitudinal direction. Accordingly, by disposing the secondary-side electrodes 74 and 76 on at least either of the top 12 and the bottom face 14 as described above, the resonant frequency and the output impedance can be controlled independently of each other. The forming of the secondary-side electrodes 74 and 76 on both the top face 12 and the bottom face 14, respectively, of the piezoelectric ceramics substrate 10 as in the ninth embodiment allows easier polarization in the longitudinal direction. Eleventh embodiment: As shown in FIGS. 10A to 10C, an eleventh embodiment is different from the first embodiment in that in a piezoelectric transformer element 100, part of a primary-side electrode 22 is electrically insulated from the primary-side electrode 22 to make a feedback electrode 23, but other features and the manufacturing method are the same. As a result of electrically isolating part of the primary-side electrode 22 from the primary-side electrode 22 to make the feedback electrode 23, a fine signal can be taken out from the feed back electrode 23 to monitor the vibrating state of the piezoelectric transformer element 100, and the signal can be used for making a feedback to the piezoelectric transformer element 100, whereby the piezoelectric transformer element 100 can be vibrated by self-excitation. The self-excited vibration can be preferably activated by connecting a phase-shifting circuit 286 and an amplifier circuit 284 to the feedback electrode 23 and applying an output from the amplifier circuit 284 to the primary-side electrodes 22 and 24. The phase-shifting circuit 286 is preferably a reactance circuit or the like. Twelfth embodiment: As shown in FIGS. 11A and 11B, a primary-side electrode 322 is disposed on the top face 302 of a rectangular parallelepipedic piezoelectric ceramics substrate 300 to cover a left 1/4 region, a primary-side electrode 324 is disposed on the bottom face 304 of the piezoelectric ceramics substrate 300 opposite to the primary-side electrode 322, and the portion of the piezoelectric ceramics substrate 300 between the primary-side electrode 322 and the primary-side electrode 324 is polarized in the thicknesswise direction between the top face 302 and the bottom face 304. In addition, a primary-side electrode 326 is disposed on the top face 302 of the piezoelectric ceramics substrate 300 such that the primary-side electrode 326 extends in the longitudinal direction of the piezoelectric ceramics substrate 300 from a position located 1/4 of the length of the piezoelectric ceramics substrate 300 as measured from a primary-side end surface 306 to a position located 3/8 of the length of the piezoelectric substrate 300 as measured from the primary-side end surface 306, and also a primary-side electrode 328 is disposed on the bottom face 304 of the piezoelectric ceramics substrate 300 opposite to the primary-side electrode 326. The primary-side electrode 326 is disposed in separation from the primary-side electrode 322, and the primary-side electrode 328 is disposed in separation from the primary-side electrode 324. The portion of the piezoelectric ceramics substrate 300 between the primary-side electrode 326 and the primary-side electrode 328 is polarized in the thicknesswise direction between the top face 302 and the bottom face 304. A primary-side electrode 422 is disposed on the top face 302 of the piezoelectric ceramics substrate 300 to cover a right 1/4 region, a primary-side electrode 424 is disposed on the bottom face 304 of the piezoelectric ceramics substrate 300 opposite to the primary-side electrode 422, and the portion of the piezoelectric ceramics substrate 300 between the primary-side electrode 422 and the primary-side electrode 424 is polarized in the thicknesswise direction between the top face 302 and the bottom face 304. In addition, a primary-side electrode 426 is disposed on the top face 302 of the piezoelectric ceramics substrate 300 such that the primary-side electrode 300 extends in the longitudinal direction of the piezoelectric ceramics substrate 300 from a position located 1/4 of the length of the piezoelectric ceramics substrate 300 as measured from a primary-side end surface 308 to a position located 3/8 of the length of the piezoelectric substrate 300 as measured from the primary-side end surface 308, and also a primary-side electrode 428 is disposed on the bottom face 304 of the piezoelectric ceramics substrate 300 opposite to the primary-side electrode 426. The primary-side electrode 426 is disposed in separation from the primary-side electrode 422, and the primary-side electrode 428 is disposed in separation from the primary-side electrode 424. The portion of the piezoelectric ceramics substrate 300 between the primary-side electrode 426 and the primary-side electrode 428 is polarized in the thicknesswise direction between the top face 302 and the bottom face 304. The portion of the piezoelectric ceramics substrate 300 between the primary-side electrode 322 and the primary-side electrode 324 is polarized in the same direction as in the portion between the primary-side electrode 326 and the primary-side electrode 328, and the portion of the piezoelectric ceramics substrate 300 between the primary-side electrode 422 and the primary-side electrode 424 is polarized in the same direction as in the portion between the primary-side electrode 426 and the primary-side electrode 428; however, the portion of the piezoelectric ceramics substrate 300 between the primary-side electrode 322 and the primary-side electrode 324 is polarized in the opposite direction to the portion between the primary-side electrode 422 and the primary-side electrode 424, and the portion of the piezoelectric ceramics substrate 300 between the primary-side electrode 326 and the primary-side electrode 328 is polarized in the opposite direction to the portion between the primary-side electrode 426 and the primary-side electrode 428. Further, a secondary-side electrode 374 is disposed on the top face 302 of the piezoelectric ceramics substrate 300 at the central portion of the piezoelectric ceramics substrate 300 in the longitudinal direction thereof, and a secondary-side electrode 376 is disposed on the bottom face 304 of the piezoelectric ceramics substrate 300 opposite to the secondary-side electrode 374. The portion of the piezoelectric ceramics substrate 300 between the primary-side electrodes 326 and 328 and the secondary-side electrodes 374 and 376 is polarized in the longitudinal direction, i.e. in the extending direction of the top face 302 and the bottom face 304. The portion of the piezoelectric ceramics substrate 300 between the primary-side electrodes 426 and 428 and the secondary-side electrodes 374 and 376 is polarized in the longitudinal direction, i.e. in the extending direction of the top face 302 and the bottom face 304. The portion of the piezoelectric ceramics substrate 300 between the primary-side electrodes 326 and 328 and the secondary-side electrodes 374 and 376 is polarized in the same direction as in the portion between the primary-side electrodes 426 and 428 and the secondary-side electrodes 374 and 376. One end of a power source 200 is connected to the primary-side electrode 322 via a connecting portion 522, to the primary-side electrode 328 via a connecting portion 528, to the primary-side electrode 428 via a connecting portion 628, and to the primary-side electrode 422 via a connecting portion 622. The other end of the power source 200 is connected to the primary-side electrode 324 via a connecting portion 524, to the primary-side electrode 326 via a connecting portion 526, to the primary-side electrode 426 via a connecting portion 626, and to the primary-side electrode 424 via a connecting portion 624. The secondary-side electrode 374 and the secondary-side electrode 376 are electrically connected, and connected to one end of a load 400. The other end of the load 400 is connected to the other end of the power source 200. The piezoelectric transformer element according to the present embodiment can be driven in two wavelengths as shown in FIGS. 11C and 11D. In the present embodiment, the piezoelectric ceramics substrate 300 measuring 40 mm in length in the longitudinal direction x 5 mm in width x 1 mm in thickness was used. A piezoelectric transformer element 100 according to the present embodiment is shaped such that the piezoelectric transformer elements according to the first embodiment are symmetrically provided on both sides of the secondary-side electrodes 374 and 376, whereby the piezoelectric transformer element 100 can be fed with twice as much energy as the piezoelectric transformer element according to the first embodiment. Thus, the effect of further reducing an input voltage is produced. In the present embodiment, the secondary-side electrode 374 is disposed on the top face 302 of the piezoelectric ceramics substrate 300 at the central portion, and the secondary-side electrode 376 is disposed on the bottom surface 304 of the piezoelectric ceramics substrate 300 at the central portion opposite to the secondary-side electrode 374, while in the first embodiment, the secondary-side electrode 72 is disposed on the secondary-side end surface 17. In the present embodiment, support points are located at vibrational nodes 222, 224, 226, and 228 of the piezoelectric transformer element 100, thereby minimizing hindrance to vibration of the piezoelectric transformer element 100 which occurs by the support of the piezoelectric transformer element 100. The manufacturing method for the piezoelectric transformer element 100 according to the present embodiment is the same as for the first embodiment. In the present embodiment, the direction of polarization may be inverted with the portions of the piezoelectric ceramics substrate 300 between the primary-side electrodes 326 and 328 and between the primary-side electrodes 426 and 428 to electrically connect all the primary-side electrodes on the same main face. Thirteenth embodiment: A piezoelectric transformer element 100 shown in FIGS. 12A and 12B is the same as the piezoelectric transformer according to the first embodiment except that the portion of the primary-side region exceeding a left half wavelength is polarized in the direction opposite to the direction of polarization in the left half wavelength region. As shown in FIGS. 12A and 12B, electrodes on the top face 12 can be formed into a single electrode 52 and electrodes on the bottom face 14 can be formed into a single electrode 54, after the polarization. In the present embodiment, the piezoelectric transformer element 100 can be driven in the one wavelength mode as shown in FIGS. 12C and 12D. The primary-side electrodes 52 and 54 are extended in the longitudinal direction to a position located 3/4 of the length of a piezoelectric ceramics substrate 10 as measured from a primary-side end surface 16. Accordingly, the area of the electrode at primary side (c + d) becomes greater than that of a conventional piezoelectric transformer of FIG. 1, and the input impedance of the piezoelectric transformer element 100 becomes smaller accordingly. As a result, electrical energy from the power source 200 is more readily fed to the piezoelectric transformer element 100. Also, stress in the region "c" acts toward the upper face 12 of the piezoelectric ceramics 10, while stress in the region "d" acts toward the lower face of the piezoelectric ceramics 10, i.e., acts in the direction opposite to the direction of the stress in the region "c". Although the direction of polarization in the region "c" is opposite to the direction of polarization in the region "d", the direction of application of electrical field is the same in both the regions. Accordingly, when a voltage from the power source 200 is applied between the primary-side electrodes 52 and 54, the portion of the piezoelectric ceramics substrate 10 in the region "d" vibrates so as to enhance resonance which is excited by applying a voltage from the power source 200 to the region "c". As a result, electrical energy fed from the power source 200 a can be more efficiently converted to mechanical elastic energy on the primary side (c + d). Furthermore, as a result of disposing region "d", secondary-side region "f" is shortened in the longitudinal direction, and consequently the output impedance becomes smaller. As the output impedance of the piezoelectric transformer element 100 becomes smaller, voltage to be applied to a CFL 400 connected to the secondary-side electrode 72 of the piezoelectric transformer element 100 becomes greater accordingly. A piezoelectric ceramics substrate having the same size as that in the first embodiment was prepared in the same method as in the first embodiment. As shown in FIG. 13, polarizing electrodes 521 and 523 were formed on the top face 12 of the piezoelectric ceramics substrate 10, polarizing electrodes 541 and 543 were formed on a bottom face 14, and the secondary-side electrode 72 was formed on a secondary-side end surface 17. Subsequently, the polarizing electrodes 541 and 523 were connected to the positive terminal of a polarizing power source, the polarizing electrodes 521 and 543 were connected to the negative terminal of the polarizing power source, and a voltage of 2 kV was applied to the piezoelectric ceramics substrate 10 in silicone oil having a temperature of 100°C to polarize the region "c" and the region "d" in the thicknesswise direction thereof. Then, the polarizing electrode 521 and the polarizing electrode 523 were connected using a conductor to make the primary-side electrode 52, and the polarizing electrode 541 and the polarizing electrode 543 were connected using a conductor to make the primary-side electrode 54. Then, the primary-side electrode 52 and the primary-side electrode 54 were connected to the positive terminal of the polarizing power source, the secondary-side electrode 72 were connected to the negative terminal of the polarizing power source, and a voltage of 10 kV was applied to the piezoelectric ceramics substrate 10 in silicone oil having a temperature of 100°C to polarize the region "f" in the longitudinal direction thereof. One end of the power source 200 was connected to the primary-side electrode 52 via the connecting portion 152, and the other end of the power source 200 was connected to the primary-side electrode 54 via the connecting portion 154. The secondary-side electrode 72 was connected to one end of a CFL used as a load 400, and the other end the CFL 400 was connected to the other end of the power source 200. The CFL 400 used was a CFL measuring 225 mm in length x 2.6 mm in diameter for use with an A4-sized notebook type personal computer. With the piezoelectric transformer element 100 being supported at vibrational nodes 202 and 204, a voltage having a frequency of 160 kHz was applied from the power source 200 to the piezoelectric transformer element 100 to measure the relationship between the input voltage to the piezoelectric transformer element 100 and the luminance of the CFL. These measurements are shown in FIG. 14 (curve P'). In FIG. 14, for comparison, measurements are also shown for the piezoelectric transformer element 100 of FIG. 2 which is not provided with the primary-side electrodes 26 and 28 and in which the portion of the piezoelectric ceramics substrate 10 between the secondary-side electrode 72 and the primary-side electrodes 22 and 24 is longitudinally polarized (curve Q'). A piezoelectric transformer element 100 which corresponds to the piezoelectric transformer element 100 shown in FIG. 2 but which is not provided with the primary-side electrodes 26 and 28 required an input voltage of 66 V rms to obtain a luminance of 27,000 cd/m 2 in the CFL 400, while the present embodiment required an input voltage of 30 V rms to obtain the same luminance. Lighting of the CFL 400 was able to be initiated at an input voltage of approximately 15 V rms . In the present embodiment, the region "d" shown in FIG. 12B may be longer or shorter than a quarter wavelength according to applications of the piezoelectric transformer. When the region "d" is longer than a quarter wavelength, ends of the primary-side electrodes 52 and 54 on the side of the secondary-side electrode 72 become closer to the secondary-side electrode 72 than in the present embodiment, the region of the secondary side "f" is longitudinally shortened; consequently, the output impedance becomes much smaller. As a result, a larger voltage can be applied to the CFL 400 which is connected to the piezoelectric transformer element 100 at the secondary side "f", whereby the effective voltage step-up ratio of the piezoelectric transformer element 100 can be increased. When the region "d" is shorter than a quarter wavelength, ends of the primary-side electrodes 52 and 54 on the side of the secondary-side electrode 72 become more distant from the secondary-side electrode 72 than in the present embodiment; consequently, a larger voltage can be built up on the secondary side, whereby the voltage step-up ratio of the piezoelectric transformer element 100 can be further increased. Fourteenth embodiment: FIGS. 15A - 15D show a fourteenth embodiment. A piezoelectric transformer element according to the fourteenth embodiment is similar to the sixth embodiment, but every two neighboring regions of the three regions on the primary side are polarized in opposite directions. This piezoelectric transformer element 100 can be driven in the 1.5 wavelength mode as in the sixth embodiment. The present embodiment provides all effects provided in the sixth embodiment. Further, since the primary-side electrodes can be externally connected using a pair of wires, a connection can be established only at a node. The manufacturing method for the piezoelectric transformer element 100 is the same as that for the thirteenth embodiment. Fifteenth and sixteenth embodiments: As shown in FIG. 16A, a fifteenth embodiment is different from the fourteenth embodiment in that the region "e" is not provided, but other features and the manufacturing method are the same. As shown in FIG. 16B, a sixteenth embodiment is different from the fifteenth embodiment in that ends of the region "d" on the side of the secondary-side electrode 72 are rendered more distant from the secondary-side electrode 72, but other features and the manufacturing method are the same. As a result of assuming the structure, a greater secondary-side output can be generated. After the polarization, separate electrodes may be connected using conductive paste or connected at node points to lead wires as shown in FIG. 16A. Seventeenth embodiment: As shown in FIGS. 17A and 17B, a primary-side electrode 322 is disposed on the top face 302 of a rectangular parallelepipedic piezoelectric ceramics substrate 300 to cover a left 1/3 region, a primary-side electrode 324 is disposed on the bottom face 304 of the piezoelectric ceramics substrate 300 opposite to the primary-side electrode 322, and the portion of the piezoelectric ceramics substrate 300 between the primary-side electrode 322 and the primary-side electrode 324 is polarized in the thicknesswise direction between the top face 302 and the bottom face 304. In addition, a primary-side electrode 326 is disposed on the top face 302 of the piezoelectric ceramics substrate 300 such that the primary-side electrode 326 extends in the longitudinal direction of the piezoelectric ceramics substrate 300 from a position located 1/3 of the length of the piezoelectric ceramics substrate 300 as measured from a primary-side end surface 306 to a position located 5/12 of the length of the piezoelectric substrate 300 as measured from the primary-side end surface 306, and also a primary-side electrode 328 is disposed on the bottom face 304 of the piezoelectric ceramics substrate 300 opposite to the primary-side electrode 326. The primary-side electrode 326 is disposed in separation from the primary-side electrode 322, and the primary-side electrode 328 is disposed in separation from the primary-side electrode 324. The portion of the piezoelectric ceramics substrate 300 between the primary-side electrode 326 and the primary-side electrode 328 is polarized in the thicknesswise direction thereof. A primary-side electrode 422 is disposed on the top face 302 of the piezoelectric ceramics substrate 300 to cover a right 1/3 region, a primary-side electrode 424 is disposed on the bottom face 304 of the piezoelectric ceramics substrate 300 opposite to the primary-side electrode 422, and the portion of the piezoelectric ceramics substrate 300 between the primary-side electrode 422 and the primary-side electrode 424 is polarized in the thicknesswise direction thereof. In addition, a primary-side electrode 426 is disposed on the top face 302 of the piezoelectric ceramics substrate 300 such that the primary-side electrode 426 extends in the longitudinal direction of the piezoelectric ceramics substrate 300 from a position located 1/3 of the length of the piezoelectric ceramics substrate 300 as measured from a primary-side end surface 308 to a position located 5/12 of the length of the piezoelectric substrate 300 as measured from the primary-side end surface 308, and also a primary-side electrode 428 is disposed on the bottom face 304 of the piezoelectric ceramics substrate 300 opposite to the primary-side electrode 426. The primary-side electrode 426 is disposed in separation from the primary-side electrode 422, and the primary-side electrode 428 is disposed in separation from the primary-side electrode 424. The portion of the piezoelectric ceramics substrate 300 between the primary-side electrode 426 and the primary-side electrode 428 is polarized in the thicknesswise direction between the top face 302 and the bottom face 304. The portion of the piezoelectric ceramics substrate 300 between the primary-side electrode 322 and the primary-side electrode 324, the portion of the piezoelectric ceramics substrate 300 between the primary-side electrode 326 and the primary-side electrode 328, the portion of the piezoelectric ceramics substrate 300 between the primary-side electrode 422 and the primary-side electrode 424, the portion of the piezoelectric ceramics substrate 300 between the primary-side electrode 426 and the primary-side electrode 428 are all polarized in the same direction. Further, a secondary-side electrode 374 is disposed on the top face 302 of the piezoelectric ceramics substrate 300 at the central portion of the piezoelectric ceramics substrate 300 in the longitudinal direction thereof, and a secondary-side electrode 376 is disposed on the bottom face 304 of the piezoelectric ceramics substrate 300 opposite to the secondary-side electrode 374. The portion of the piezoelectric ceramics substrate 300 between the primary-side electrodes 326 and 328 and the secondary-side electrodes 374 and 376 is polarized in the longitudinal direction, i.e. in the extending direction of the top face 302 and the bottom face 304. The portion of the piezoelectric ceramics substrate 300 between the primary-side electrodes 426 and 428 and the secondary-side electrodes 374 and 376 is polarized in the longitudinal direction. The portion of the piezoelectric ceramics substrate 300 between the primary-side electrodes 326 and 328 and the secondary-side electrodes 374 and 376 is polarized in the opposite direction to the portion of the piezoelectric ceramics substrate 300 between the primary-side electrodes 426 and 428 and the secondary-side electrodes 374 and 376. One end of a power source 200 is connected to the primary-side electrode 322 via a connecting portion 522, to the primary-side electrode 328 via a connecting portion 528, to the primary-side electrode 428 via a connecting portion 628, and to the primary-side electrode 422 via a connecting portion 622. The other end of the power source 200 is connected to the primary-side electrode 324 via a connecting portion 524, to the primary-side electrode 326 via a connecting portion 526, to the primary-side electrode 426 via a connecting portion 626, and to the primary-side electrode 424 via a connecting portion 624. The secondary-side electrode 374 and the secondary-side electrode 376 are electrically connected, and connected to one end of a load 400. The other end of the load 400 is connected to the other end of the power source 200. In the present embodiment, the piezoelectric ceramics substrate 300 can be driven in such a resonance mode that 1.5 wavelength of stress distribution exists between the primary-side end surface 306 and the primary-side end surface 308. A voltage having a frequency equal to a resonant frequency of the 1.5 wavelength type resonance mode is applied from the power source 200. Since both ends 306 and 308 of the piezoelectric ceramics substrate 300 are open, at both longitudinal ends of the piezoelectric ceramics substrate 300, stress is zero and amplitude is maximized. Also, since the piezoelectric ceramics substrate 300 is resonated in the 1.5 wavelength mode in the present embodiment, stress and amplitude distributions are as shown in FIGS. 17C and 17D, respectively. The region covered with the primary-side electrodes 322 and 324 is identical in stress, the direction of polarization, and the direction of electric field to the region covered with the primary-side electrodes 422 and 424, so that vibration which is excited by applying a voltage from the power source 200 between the primary-side electrodes 322 and 324 and vibration which is excited by applying a voltage from the power source 200 between the primary-side electrodes 422 and 424 enhance mutually. Stress within the region covered with the primary-side electrodes 326 and 328 is directed oppositely to stress within the region covered with the primary-side electrodes 322 and 324 and within the region covered with the primary-side electrodes 422 and 424. The region covered with the primary-side electrodes 326 and 328 is polarized in the same direction as in the region covered with the primary-side electrodes 322 and 324 and in the region covered with the primary-side electrodes 422 and 424; however, the region covered with the primary-side electrodes 326 and 328 is opposite in the direction of applying an electric field, to the region covered with the primary-side electrodes 322 and 324 and to the region covered with the primary-side electrodes 422 and 424. Accordingly, when a voltage from the power source 200 is applied between the primary-side electrodes 326 and 328, the portion of the piezoelectric ceramics substrate 300 between the primary-side electrodes 326 and 328 vibrates so as to enhance vibration which is excited by applying a voltage from the power source 200 between the primary-side electrodes 322 and 324 and vibration which is excited by applying a voltage from the power source 200 between the primary-side electrodes 422 and 424. Stress within the region covered with the primary-side electrodes 426 and 428 is directed oppositely to stress within the region covered with the primary-side electrodes 322 and 324 and within the region covered with the primary-side electrodes 422 and 424. The region covered with the primary-side electrodes 426 and 428 is polarized in the same direction as in the region covered with the primary-side electrodes 322 and 324 and in the region covered with the primary-side electrodes 422 and 424; however, the region covered with the primary-side electrodes 426 and 428 is opposite in the direction of applying an electric field, to the region covered with the primary-side electrodes 322 and 324 and to the region covered with the primary-side electrodes 422 and 424. Accordingly, when a voltage from the power source 200 is applied between the primary-side electrodes 426 and 428, the portion of the piezoelectric ceramics substrate 300 between the primary-side electrodes 426 and 428 vibrates so as to enhance vibration which is excited by applying a voltage from the power source 200 between the primary-side electrodes 322 and 324 and vibration which is excited by applying a voltage from the power source 200 between the primary-side electrodes 422 and 424. Accordingly, electrical energy fed from the power source 200 to the primary sides "a" and "a'" can be more efficiently converted to mechanical elastic energy. In the present embodiment, because of disposing the primary-side electrodes 326, 328, 426, and 428 in addition to the primary-side electrodes 322, 324, 422, and 424, the area of electrodes at the primary sides "a" and "a'" becomes greater, and the input impedance of the piezoelectric transformer element 100 becomes smaller accordingly. As a result, electrical energy from the power source 200 is more readily fed to the piezoelectric transformer element 100. Further, as a result of disposing the primary-side electrodes 326 and 328, a region of secondary side "b" is shortened in the longitudinal direction, and as a result of disposing the primary-side electrodes 426 and 428, a region of secondary side "b'" is shortened in the longitudinal direction. As a result, the output impedance of the piezoelectric transformer element 100 becomes smaller. As the output impedance of the piezoelectric transformer element 100 becomes smaller, voltage to be applied to the load 400 connected to the secondary-side electrodes 374 and 376 of the piezoelectric transformer element 100 becomes greater accordingly. Also, as a result of disposing the primary-side electrodes 326, 328, 426, and 428 as in the present embodiment, the distance between primary-side and secondary-side electrodes becomes shorter, and consequently when the portion of the piezoelectric ceramics substrate 300 between the primary-side electrodes 326 and 328 and the secondary-side electrodes 374 and 376 is polarized in the longitudinal direction and when the portion of the piezoelectric ceramics substrate 300 between the primary-side electrodes 426 and 428 and the secondary-side electrodes 374 and 376 is polarized in the longitudinal direction, an absolute voltage applied for the polarization becomes smaller as compared to that case not provided with the primary-side electrodes 326, 328, 426, and 428. As a result, a countermeasure to high voltages is easy to implement, and a power source outputting a lower voltage can be employed for polarization. In the present embodiment, support points are located at vibrational nodes 232, 234, and 236 of the piezoelectric transformer element 100, thereby minimizing hindrance to vibration of the piezoelectric transformer element 100 which occurs by the support of the piezoelectric transformer element 100. The manufacturing method for the piezoelectric transformer element 100 according to the present invention is the same as that for the first embodiment. The direction of polarization may be inverted with the portions of the piezoelectric ceramics substrate 300 between the primary-side electrodes 326 and 328 and between the primary-side electrodes 426 and 428, and the connecting portions 526 and 626 may be connecting to the line for the connecting portions 522 and 622 and the connecting portions 528 and 628 may be connected to the line for the connecting portions 524 and 624. Eighteenth embodiment: As shown in FIG. 18A, rectangular parallelepipedic piezoelectric ceramics substrates 730, 740, and 750 having the same size are integrally layered to make a laminated piezoelectric ceramics substrate 700. A primary-side electrode 742 is disposed on the top face 712 of the laminated piezoelectric ceramics substrate 700 to cover the left (primary) half thereof, a primary-side electrode 744 is disposed in parallel with and opposite to the primary-side electrode 742 at a distance of 1/3 of the thickness of the laminated piezoelectric ceramics substrate 700 from the top face 712, i.e. at the boundary between the piezoelectric ceramics substrate 730 and the piezoelectric ceramics substrate 740, a primary-side electrode 746 is disposed in parallel with and opposite to the primary-side electrode 742 at a distance of 2/3 of the thickness of the laminated piezoelectric ceramics substrate 700 from the top face 712, i.e. at the boundary between the piezoelectric ceramics substrate 740 and the piezoelectric ceramics substrate 750, and a primary-side electrode 748 is disposed on the bottom face 714 of the laminated piezoelectric ceramics substrate 700 in parallel with and opposite to the primary-side electrode 742. A primary-side electrode 752 is disposed on the top face 712 of the laminated piezoelectric ceramics substrate 700 such that the primary-side electrode 752 extends in the longitudinal direction of the laminated piezoelectric ceramics substrate 700 from a position located half the length of the laminated piezoelectric ceramics substrate 700 as measured from a primary-side end surface 716 to a position located 3/4 of the length of the laminated piezoelectric ceramics substrate 700 as measured from the primary-side end surface 716, a primary-side electrode 754 is disposed in parallel with and opposite to the primary-side electrode 752 at a distance of 1/3 of the thickness of the laminated piezoelectric ceramics substrate 700 from the top face 712, i.e. at the boundary between the piezoelectric ceramics substrate 730 and the piezoelectric ceramics substrate 740, a primary-side electrode 756 is disposed in parallel with and opposite to the primary-side electrode 752 at a distance of 2/3 of the thickness of the laminated piezoelectric ceramics substrate 700 from the top face 712, i.e. at the boundary between the piezoelectric ceramics substrate 740 and the piezoelectric ceramics substrate 750, and a primary-side electrode 758 is disposed on the bottom face 714 of the laminated piezoelectric ceramics substrate 700 in parallel with and opposite to the primary-side electrode 752. The primary-side electrode 752 is disposed in separation from the primary-side electrode 742, the primary-side electrode 754 is disposed in separation from the primary-side electrode 744, the primary-side electrode 756 is disposed in separation from the primary-side electrode 746, the primary-side electrode 758 is disposed in separation from the primary-side electrode 748. The primary-side electrodes 742, 744, 746, 748, 752, 754, 756, and 758 are disposed such that they extend in the direction of width of the laminated piezoelectric ceramics substrate 700 from one end surface of the laminated piezoelectric ceramics substrate 700 to the other end surface. The portions of the laminated piezoelectric ceramics substrate 700 between the primary-side electrode 742 and the primary-side electrode 744, between the primary-side electrode 744 and the primary-side electrode 746, between the primary-side electrode 746 and the primary-side electrode 748, between the primary-side electrode 752 and the primary-side electrode 754, between the primary-side electrode 754 and the primary-side electrode 756, and between the primary-side electrode 756 and the primary-side electrode 758 are polarized in the thicknesswise direction thereof. The portion between the primary-side electrode 742 and the primary-side electrode 744 is polarized in the opposite direction to that portion between the primary-side electrode 744 and the primary-side electrode 746, in the same direction as in that portion between the primary-side electrode 746 and the primary-side electrode 748, in the opposite direction to that portion between the primary-side electrode 752 and the primary-side electrode 754, in the same direction as in that portion between the primary-side electrode 754 and the primary-side electrode 756, and in the opposite direction to that portion between the primary-side electrode 756 and the primary-side electrode 758. A secondary-side electrode 772 is disposed on a secondary-side end surface 718 perpendicular to both the top face 712 and the bottom face 714, and the portion of the laminated piezoelectric ceramics substrate 700 between the secondary-side electrode 772 and the primary-side electrodes 752, 754, 756, and 758 is longitudinally polarized. One end of a power source 200 is connected to the primary-side electrode 742 via a connecting portion 842, to the primary-side electrode 752 via a connecting portion 852, to the primary-side electrode 746 via a connecting portion 846, and to the primary-side electrode 756 via a connecting portion 856. The other end of the power source 200 is connected to the primary-side electrode 744 via a connecting portion 844, to the primary-side electrode 754 via a connecting portion 854, to the primary-side electrode 748 via a connecting portion 848, and to the primary-side electrode 758 via a connecting portion 858. The secondary-side electrode 772 is connected to a load 400 at one end thereof, and the other end of the load 400 is connected to the other end of the power source 200. The connecting portions 842, 844, 846, and 848 are located at a vibrational node 202, and the connecting portions 852, 854, 856, and 858 are located at a vibrational node 204. In the laminated piezoelectric transformer element 2000, single-layer piezoelectric transformer elements 130 and 140 are layered back to back, single-layer piezoelectric transformer elements 140 and 150 are layered back to back, and corresponding primary-side electrodes are connected in parallel to each other. The laminated piezoelectric transformer element 2000 according to the present embodiment can be driven in such a resonance mode that one wavelength of stress distribution exists between the primary-side end surface 716 and the secondary-side end surface 718. A voltage having a frequency equal to a resonant frequency of the one wavelength type resonance mode is applied from the power source 200. In the present embodiment, support points are located a quarter wavelength to the right of the primary-side end surface 716 and aquarter wavelength to the left of the secondary-side end surface 718. Since the primary-side and secondary-side end surfaces 716 and 718 of the laminated piezoelectric ceramics substrate 700 are open, at both longitudinal ends of the laminated piezoelectric ceramics substrate 700, stress is zero and amplitude is maximized. Also, since the laminated piezoelectric transformer element 2000 is resonated in the one wavelength mode in the present embodiment, stress and amplitude distributions are as shown in FIGS. 18B and 18C, respectively. The single-layer transformer elements 130, 140, and 150 show similar functions and effects to those of the piezoelectric transformer element 100 according to the thirteenth embodiment, and consequently the laminated piezoelectric transformer element 2000 have similar functions and effects to those of the piezoelectric transformer element 100 according to the thirteenth embodiment. In addition, in the laminated piezoelectric transformer element 2000 according to the present embodiment, an input current flows three times than in the single-layer piezoelectric transformer elements 130, 140, and 150, so that at a fixed input power, an input voltage becomes one-third, thereby reducing an input voltage. Also, since an input current can flow three times as much, at a fixed input voltage, an input power can be increased three times as much for high-power drive. On the other hand, when single-layer piezoelectric transformer elements 130, 140, and 150 are used, an in crease in power causes energy density to exceed a threshold determined by material with a resultant increase in loss, causing deterioration in efficiency. By employing the above-mentioned laminated structure to avoid the problem, energy density within piezoelectric ceramics can be reduced, thereby increasing a total input power level. By uniting a plurality of the piezoelectric transformer elements 130, 140, and 150 as described above, a vibration mode can be unified for a plurality of the piezoelectric transformer elements 130, 140, and 150. Also, the laminated piezoelectric transformer element 2000 according to the present embodiment may be formed by bonding or sintering single-layer piezoelectric transformer elements 130, 140, and 150 together. Nineteenth embodiment: As shown in FIGS. 19A to 19C, a primary-side electrode 61 is disposed on the top face 12 of the rectangular parallelepipedic piezoelectric ceramics substrate 10 so as to cover the left two-thirds thereof, and another primary-side electrode 62 is provided on the bottom face 14 of the piezoelectric ceramics substrate 10 so as to be opposite to the primary-side electrode 61, whereby the portion of the piezoelectric ceramics substrate 10 sandwiched between the primary-side electrodes 61 and 62, i.e., the area designated as a primary-side region "a", is polarized in the thicknesswise direction of the substrate between the top face 12 and the bottom face 14. A portion of the piezoelectric ceramics substrate 10 between the primary-side end surface 16 and a position at 1/3 of the longitudinal length of the substrate 10 from the primary-side end surface 16, that is, a region "g", is polarized in the downward direction. On the other hand, another portion of the piezoelectric ceramics substrate 10 between the position at 1/3 of the longitudinal length of the substrate from the primary-side end surface 16 and a position at 2/3 of the longitudinal length of the substrate from the primary-side end surface 16, that is, a region "h", is polarized in the upward direction. In this way, the regions "g" and "h" of the piezoelectric ceramics substrate 10 have opposite directions of polarization to each other. A portion of the piezoelectric ceramics substrate 10 between the position at 2/3 of the longitudinal length of the substrate 10 from the primary-side end surface 16 and the secondary-side end surface 17, that is, a secondary-side region "b", is polarized in the longitudinal direction of the substrate in parallel with the top and bottom faces 12 and 14. A portion of the piezoelectric ceramics substrate 10 between the position at 2/3 of the longitudinal length of the substrate from the primary-side end surface 16 and a position 5/6 of the longitudinal length of the substrate from the primary-side end surface 16, that is, a region "i", is polarized in the leftward direction. On the other hand, a portion of the piezoelectric ceramics substrate 10 between the position at 5/6 of the longitudinal length of the substrate from the primary-side end surface 16 and the secondary-side end surface 17, that is, a region "j", is polarized in the rightward direction. In this way, the regions "i" and "j" of the piezoelectric ceramics substrate 10 have opposite directions of polarization to each other. A secondary-side electrode 77 is disposed on the top face 12 at the position at 5/6 of the longitudinal length of the piezoelectric ceramics substrate 10 from the primary-side end surface 16 in such a way as to transversely cross the piezoelectric ceramics substrate 10 from one end thereof to the other. Similarly, another secondary-side electrode 78 is disposed on the bottom face 14 along the edge of the secondary-side end surface 17 so as to traverse the piezoelectric ceramics substrate 10 from one end thereof to the other. One end of the power source 200 is connected to the primary-side electrode 61 via a connecting portion 161. The other end of the power source 200 is connected to the primary-side electrode 62 via a connecting portion 162. The secondary-side electrode 78 is connected to the other end of the power source 200 and the primary-side electrode 62 via a connecting portion 178. The secondary-side electrode 77 is connected to one end of a load 400 via a connecting portion 177, and the other end of the load 400 is connected to the secondary-side electrode 78, the primary-side electrode 62, and the other end of the power source 200. When a voltage from the power source 200 is applied between the primary-side electrodes 61 and 62, an electric field is applied to the left two-thirds of the piezoelectric ceramics substrate 10, that is, the primary-side area "a", in its thicknesswise direction, which brings about longitudinal vibration in the longitudinal direction as a result of a piezoelectric transverse effect involving a displacement perpendicular to the direction of polarization, as a result of which the overall piezoelectric transformer element 100 vibrates. The piezoelectric transformer element of this embodiment can be actuated in such a resonance mode that one and a half wavelengths of stress distribution exists between the primary-side end surface 16 and the secondary-side end surface 17. A voltage having a frequency equal to a resonance frequency in the one and a half wavelength mode is applied from the power source 200. In this embodiment, the primary-side and secondary-side end surfaces 16 and 17 of the piezoelectric ceramics substrate 10 are open, and therefore zero stress and the maximum amplitude appear at both longitudinal ends of the piezoelectric ceramics substrate 10. Further, in the present embodiment, the piezoelectric ceramics substrate 10 resonates in the one and a half wavelength mode, and hence stress and amplitude distributions respectively shown in FIGS. 19D and 19E are obtained. If the piezoelectric ceramics substrate 10 is actuated in such a one and a half wavelength mode, nodes of the vibration appear at three points, namely, a position (node 212) at 1/6 of the longitudinal length of the piezoelectric ceramics substrate 10 from the primary-side end surface 16, a position (node 214) at 1/2 of the longitudinal length of the piezoelectric ceramics substrate 10 from the primary-side end surface 16, and a position (node 216) at 5/6 of the longitudinal length of the piezoelectric ceramics substrate 10 from the primary-side end surface 16. In this embodiment, the connecting portions 161 and 162 are provided at the node 212, and the connecting portion 177 is provided at the node 216. Thus, in the present embodiment, the secondary-side electrode 78 is provided on the secondary-side region along the edge of the secondary-side end surface 17. This secondary-side electrode 78 is connected to the primary-side ground electrode 62. The secondary-side electrode 77 is also provided at the center of the secondary-side region "b" and is used as a high voltage side. When compared with a piezoelectric transformer element in which a high-voltage secondary-side electrode (not shown) for outputting a high voltage is disposed along the rightward edge of the secondary region and the overall secondary-side region "b" is polarized in either the rightward or leftward longitudinal direction of the substrate, the distance between the secondary-side electrodes becomes about half, the area of the electrodes becomes double, the capacitance at the secondary region is increased to about four times, and the output impedance is reduced to a quarter. In this way, when the output impedance of the piezoelectric transformer element 100 is reduced, the voltage applied to the load 400 connected to the secondary-side electrode 77 of the piezoelectric transformer element 100 becomes larger accordingly. The stress is zero at both ends of the secondary-side region "b", and a half wavelength of stress distribution exists in the secondary-side region "b". Further, the stress is oriented in the same direction within the secondary-side region "b", and the primary-side ground electrode 62 and the secondary-side ground electrode 78 are provided on both sides of the secondary-side region "b". The secondary-side high-voltage electrode 77 is provided at the peak of the stress distribution appearing at the center of the secondary-side region "b". The areas on both sides of this secondary-side electrode 77 are polarized in opposite directions, and hence all electrical charges developed in the secondary-side region "b" can be effectively taken out. Further, as mentioned above, the secondary-side region "b" is symmetrical about the secondary-side electrode 77, and hence a frequency is output in a single mode. In consequence, the operation of the piezoelectric transformer element 100 becomes stable. Because the secondary-side electrode 77 is disposed in the secondary-side region "b", the distance between secondary-side electrodes used for polarization becomes half, and an absolute voltage applied to polarize the secondary-side portion "b" becomes smaller, compared to the case where only a secondary-side high-voltage electrode (not shown) is disposed in the secondary region along the longitudinal free end of the substrate and the overall secondary-side region "b" is polarized in one direction, that is, a longitudinally rightward or leftward direction. As a result, a countermeasure to high voltages is easy to implement, and a power source outputting a lower voltage can be used for polarization. Further, in this embodiment, the primary-side ground electrode 62 and the secondary-side ground electrode 78 are provided on the same bottom face 14 of the piezoelectric ceramics substrate 10, whereas the secondary-side high-voltage electrode 77 is disposed on the top face 12 of the piezoelectric ceramics substrate 10. For this reason, it is possible to prevent a short circuit between the secondary-side high-voltage electrode 77, the secondary-side ground electrode 78, and the primary-side electrode 62. The primary-side electrodes 61 and 62 extend from the primary-side end face 16 to the position at 2/3 of the longitudinal length of the piezoelectric ceramics substrate 10 from the primary-side end face 16. For this reason, the area of the primary-side electrodes becomes larger, and the input impedance of the piezoelectric transformer element 100 becomes correspondingly smaller. In consequence, electrical energy from the power source 200 is more readily fed to the piezoelectric transformer element 100. Since the regions "g" and "h" are polarized in opposite directions, receive the electric field in the same direction, and are subjected to stresses in opposite directions, they vibrate so as to enhance resonance to a much greater extent. As a result, the electrical energy fed from the power source 200 can be more efficiently converted to mechanical elastic energy at the primary side "a". On the other hand, as a result of providing the region "h", the secondary-side region "b" is accordingly shortened in the longitudinal direction, and consequently the output impedance becomes smaller. As the output impedance of the piezoelectric transformer element 100 becomes smaller, voltage to be applied to the load 400 connected to the secondary side of the piezoelectric transformer element 100 becomes correspondingly greater. The piezoelectric transformer becomes more effective, when the load 400 connected to the piezoelectric transformer element 100 on the secondary side "b" is a CFL. The CFL 400 requires a high voltage of not less than 1 kV to initiate its discharge. On the other hand, the voltage step-up ratio of the piezoelectric transformer element 100 is proportional to a quality coefficient Qm of a resonator. Since the impedance of the CFL 400 is nearly infinite before discharge is initiated, the voltage step-up ratio is proportional to the Qm of the piezoelectric transformer element 100 itself, and hence a large voltage step-up ratio is made possible. Accordingly, even though a voltage step-up ratio dependent on the shape of the secondary becomes smaller due to the shortened distance between the primary-side and secondary-side electrodes as a result of disposing the secondary-side electrodes 77 and 78 as in the present embodiment, a discharge voltage can be readily built up because Qm of the resonator itself makes a significant contribution to the voltage step-up ratio at the time of initiating discharge. Once discharge is initiated, the impedance of the CFL 400 drops, however, since the output impedance of the piezoelectric transformer element 100 becomes smaller as a result of disposing the secondary-side electrodes 77 and 78 as in the present embodiment, the voltage applied to the CFL 400 can be increased accordingly. In the present embodiment, support points are located at vibrational nodes 212 and 216 of the piezoelectric transformer element 100, thereby minimizing obstruction to vibration of the piezoelectric transformer element 100 occurred when it is supported. Further, in the present embodiment, the connecting portions 161 and 162 of the primary-side electrodes 61 and 62 and electrode terminals provided at these connecting portions 161 and 162 are located at the vibrational node 212. The connecting portion 177 of the secondary-side electrode 77 and an electrode terminal provided at this connecting portion 177 are located at the vibrational node 216. Moreover, the connecting portion 178 of the secondary-side electrode 78 is provided at the open end of the piezoelectric actuator element 100. A flexible lead is connected to this connecting portion 178, and therefore the electrical connecting portions can be prevented from impeding vibration. Referring to FIGS. 20A to 20D, the manufacture of the piezoelectric transformer element 100 of the present embodiment will now be described. FIGS. 20A to 20D are cross sections showing a part of a manufacturing process of the piezoelectric transformer element 100 of the present embodiment, wherein FIGS. 20A to 20D are arranged in the order of manufacturing steps. In the present embodiment, piezoelectric ceramics of Pb(Ni 1/3 Nb 2/3 )O 3 -Pb(Zn 1/3 Nb 2/3 )O 3 -PbTiO 3 -PbZrO 3 fabricated by firing was cut into a rectangular parallelepiped 36 mm long, 7.6 mm wide and 1 mm in thickness to form the piezoelectric ceramics substrate 10, as shown in FIG. 20A. Subsequently, silver was applied on to the top face 12 and the bottom face 14 of the piezoelectric ceramics substrate 10 by screen printing. Then, the thus prepared piezoelectric ceramics substrate 10 was baked at 600°C in the air to form a primary-side electrode 611 on the top face 12 in the region "g" of the piezoelectric ceramics substrate 10, a primary-side electrode 621 on the bottom face 14 in the region "g" of the same, a primary-side electrode 613 on the top face 12 in the region "h" of the same, a primary-side electrode 623 on the bottom face 14 in the region "h" of the same, the secondary-side electrode 77 on the top face 12 at the center of the secondary-side region "b", and the secondary-side electrode 78 on the bottom face 14 along the right-side edge of the secondary-side region "b". As shown in FIG. 20B, the primary-side electrode 611 was connected to the positive terminal of a high-voltage DC power source 281 for polarization purposes, and the primary-side electrode 621 was connected to the negative terminal of the same. The primary-side electrode 613 was connected to the negative terminal of a high-voltage DC power source 282 for polarization purposes, and the primary-side electrode 623 was connected to the positive terminal of the same. With this connection, a voltage of 2 kV DC was applied from the respective high-voltage DC power sources 281 and 282 to polarize the regions "g" and "h" in a thicknesswise direction of the substrate in silicon oil at temperature of 100°C. Then, as shown in FIG. 20C, the primary-side electrodes 611, 613, 621, 623, and the secondary-side electrode 78 were connected to the negative terminal of the high-voltage DC power source 283, whereas the secondary-side electrode 77 was connected to the positive terminal of the high-voltage DC power source 283. With this connection, a voltage of 12 kV was applied to longitudinally polarize the secondary-side region "b" in silicon oil at temperature of 100°C. As shown in FIG. 20D, the primary-side electrodes 611 and 613 are connected together via conductive paste 633 to make the primary-side electrode 61 shown in FIGS. 19A to 19C. The primary-side electrodes 621 and 623 are connected together via conductive paste 643 to make the primary-side electrode 62 as shown in FIGS. 19A to 19C. Here, the electrodes may be connected together using lead wires instead of the conductive paste. Then, as shown in FIGS. 19A to 19C, one end of the power source 200 was connected to the primary-side electrode 61 via the connecting portion 161, and the other end of the power source 200 was connected to the primary-side electrode 62 via the connecting portion 162. The secondary-side electrode 78 was connected, via the connecting portion 178, to the other end of the power source and the primary-side electrode 62. The secondary-side electrode 77 was connected to one end of the CFL 400, which is a load, via the connecting portion 177. The other end of the CFL 400 was connected to the secondary-side electrode 78, the primary-side electrode 62, and the other end of the power source 200. The CFL 400 used in this embodiment is a CFL of 225 mm long and 2.6 mm in diameter for use in A4-size notebook personal computers. The piezoelectric transformer element 100 and the CFL 400 were assembled into a liquid crystal display module, and a shield plate was attached to the rear side of the module. The module was assembled while the piezoelectric transformer element 100 was supported at the vibrational nodes 212 and 216. A voltage having a frequency of 135 kHz was applied from the power source 200 to the piezoelectric transformer element 100. In this embodiment, as a result of incorporating the CFL 400 into the liquid crystal panel and attaching the shield plate, a luminance of 33,000 cd/m 2 was obtained in the CFL 400 at an input voltage of 29 V rms . It was possible to initiate lighting of the CFL 400 at an input voltage of approximately 12 V rms . Contrary to this, in the case of a conventional piezoelectric transformer element in which a secondary-side high-voltage electrode is provided only along the right-side edge of a secondary region "b" and the overall secondary region "b" was polarized only in either a rightward or leftward direction, a stray capacitance developed between the shield plate and high-voltage wiring prevented the application of sufficient voltage to the CFL 400, which in turn made it impossible for the CFL 400 to illuminate. Twentieth embodiment: FIGS. 21A to 21E illustrate a piezoelectric transformer according to a twentieth embodiment of the present invention. In this embodiment, the piezoelectric transformer element 100 is supported by lead frames 1061, 1062, and 1066. The lead frames 1061, 1062, and 1066 are supported by supporting members 1101, 1103, and 1102, respectively. One end of the lead frame 1061 is fixedly connected to the primary-side electrode 61 via the connecting portion 161 by welding. One end of the lead frame 1062 is fixedly connected to the secondary-side electrode 77 via the connecting portion 177 by welding. One end of the lead frame 1066 is fixedly connected to the primary-side electrode 62 via the connecting portion 162 by welding. The secondary-side electrode 78 is fixedly connected to a lead frame 1067 in the vicinity of one end thereof via the connecting portion 178. The other end of the lead frame 1067 is fixedly connected to the primary-side electrode 62 via the connecting portion 167 by welding. One end of the power source 200 is connected to the other end of the lead frame 1061 via a connecting portion 1361, whereas the other end of the power source 200 is connected to the other end of the lead frame 1066 via a connecting portion 1366. The piezoelectric ceramics substrate 10 has three vibrational nodes: namely, a node 212 at 1/6 of the longitudinal length of the piezoelectric ceramics substrate 10 from the primary-side end surface 16, a node 214 at half the longitudinal length of the same from the primary-side end surface 16; and a node 216 at 5/6 of the longitudinal length of the same from the primary-side end surface 16. The connecting portions 161 and 162 are positioned at the vibrational node 212, and the connecting portion 177 is positioned at the vibrational node 216. Therefore, it is possible to minimize obstruction to vibration of the piezoelectric transformer element 100 which occurs due to electrical connection to the piezoelectric transformer element 100 or the support of the piezoelectric transformer element 100. The secondary-side electrode 78 is connected to the lead frame 1067 via the connecting portion 178, and this lead frame 1067 is also connected to the primary-side electrode 62 via the connecting portion 167. These connecting portions 178 and 167 are located at areas where the phase of the vibration is the same. Therefore, even when the secondary-side electrode 78 and the primary-side electrode 62 are connected to each other through the lead frame 1067 and the connecting portions 178 and 167, the rigidity of the lead frame 1067 will not prevent vibration of the piezoelectric ceramics substrate 10. In the above mentioned twentieth embodiment, the lead frames 1061, 1062, 1066, and 1067 are 0.15 mm in thickness and 0.5 to 0.8 mm wide. They are made of phosphor bronze, an alloy of iron and nickel, or the like. Twenty-first embodiment: FIG. 22 is a cross section for explaining a piezoelectric transformer element according to a twenty-first embodiment of the present invention. In the present embodiment, the piezoelectric transformer element is provided with two loads. Namely, a secondary-side electrode 79 is connected to one end of a load 402, and the other end of the load 402 is connected to a secondary-side electrode 81. A secondary-side electrode 80 is connected to one end of a load 403, and the other end of the load 403 is connected to a secondary-side electrode 82. The top face 12 and the bottom face 14 of the piezoelectric ceramics substrate 10 are independent of each other, and the loads 402 and 403 are driven independently. The secondary-side electrodes 79 to 82 are disposed across the piezoelectric ceramics substrate 10 in a widthwise direction thereof. As a result of the above mentioned configuration, it is not necessary to make the ground potential of the secondary side to be common to that of the primary side of the substrate. This makes it possible to separate a primary-side circuit from a secondary-side circuit in terms of direct current. Ground electrodes can be formed in the secondary-side independently of the primary-side circuits, whereby the primary-side ground and the secondary-side ground can be insulated from each other. Further, it also becomes possible for secondary-side region to float, without grounding the secondary-side region, thereby resulting in improved noise resistance. Twenty-second embodiment: FIGS. 23A - 23D illustrate a piezoelectric transformer element according to a twenty-second embodiment of the present invention. In the previously mentioned twenty-first embodiment, the overall secondary-side region "b" is polarized only in one direction, that is, a longitudinal direction of the piezoelectric ceramics substrate 10, the load 402 having both ends connected to the secondary-side electrodes 79 and 81, as well as the load 403 having both ends being connected to the secondary-side electrodes 80 and 82, are actuated. The twenty-second embodiment is the same as the twenty-first embodiment except for the following points. Namely, secondary-side electrodes 91 and 92 are provided at 1/6 of the longitudinal length of the piezoelectric ceramics substrate 10 from the secondary-side end surface 17 on the respective top and bottom faces 12 and 14 so as to traverse the piezoelectric ceramics substrate 10 in this embodiment. A region between the secondary-side end surface 17 and the position at 1/6 of the longitudinal length of the piezoelectric ceramics substrate 10 from the secondary-side end surface 17 is polarized in the leftward. Further, a region between the position at 1/6 of the longitudinal direction of the piezoelectric ceramics substrate 10 from the secondary-side end surface 17 and a position at 1/3 of the longitudinal direction of the same from the secondary-side end surface 17 is polarized in the rightward. The secondary-side electrode 91 is connected to one end of a load 408 via a connecting portion 191, and the secondary-side electrode 79 is connected to the other end of the load 408 via a connecting portion 179. The secondary-side electrode 81 is also connected to the other end of the load 408 via a connecting portion 181. The secondary-side electrode 92 is connected to one end of a load 409 via a connecting portion 192, and the secondary-side electrode 80 is connected to the other end of the load 409 via a connecting portion 180. The secondary-side electrode 82 is also connected to the other end of the load 409 via a connecting portion 182. As a result of the above mentioned configuration, it is unnecessary for the ground potential of the secondary region to be common to that of the primary region of the substrate, which makes it possible to separate a primary-side circuit from a secondary-side circuit in terms of direct current. Ground electrodes can be formed in the secondary-side independently of the primary-side, whereby the primary-side ground and the secondary-side ground can be insulated from each other. Further, it becomes possible for the secondary-side region to float, without grounding the secondary-side region, thereby resulting in improved noise resistance. In this embodiment, the secondary-side electrodes 79 and 81 are connected together as one output of the transformer, and the secondary-side electrode 91 is taken as the other output of the transformer. On the other hand, the second-side electrodes 80 and 82 are connected together as one output of the transformer, and the secondary-side electrode 92 is taken as the other output of the transformer. As compared with the piezoelectric transformer element in the twenty-first embodiment, in which one output is taken out between the secondary-side electrodes 79 and 81 and another output is taken out between the secondary-side electrodes 80 and 82, the distance between the secondary-side electrodes becomes about half, the area of the electrodes becomes double, the capacitance of the secondary-side region is increased to four times, and the output impedance is reduced to about a quarter. In this way, as the output impedance of the piezoelectric transformer element 100 becomes smaller, voltage applied to the load 400 connected to the secondary-side electrode of the piezoelectric transformer element 100 becomes correspondingly larger. In this way, it becomes possible to drive much heavier load. Furthermore, because the secondary-side electrode 91 is disposed between the secondary-side electrodes 79 and 81, and the secondary-side electrode 92 is disposed between the secondary-side electrodes 80 and 82, the distance between secondary-side electrodes for polarization becomes shorter, and an absolute voltage for polarization becomes smaller, compared to a piezoelectric transformer element in which the portion between the secondary-side electrodes 79 and 81 disposed on the top face 12 of the secondary-side region and the portion between the secondary-side electrodes 80 and 82 disposed on the bottom face 14 of the secondary-side region are polarized only in either a longitudinally rightward or leftward direction. As a result, a countermeasure to high voltages is easy to implement, and a power source outputting a lower voltage can be employed for polarization. In the present embodiment, the connecting portions 191 and 192 are located at the vibrational node 216 in the longitudinal direction of the piezoelectric ceramics substrate 10. Hence, if the secondary region of the piezoelectric transformer element 100 is supported at these connecting portions 191 and 192, obstruction to longitudinal vibration of the piezoelectric transformer element 100 can be minimized. Twenty-third embodiment: FIG. 24 is a perspective view for explaining a piezoelectric transformer according to a twenty-third embodiment of the present invention. This embodiment is applied to a piezoelectric transformer element in which a secondary region is longitudinally polarized. In FIG. 24, the piezoelectric transformer element 100 is supported by lead frames 1010, 1020, and 1430. The lead frame 1010 is supported by a supporting member 1001, and the lead frame 1020 is supported by a supporting member 1002, the lead frame 1430 being supported by a supporting member 1003. The lead frames 1010 and 1020 are disposed at right angles to the longitudinal direction of the piezoelectric ceramics substrate 10, whilst the lead frame 1430 is disposed in a direction parallel to the longitudinal direction of the piezoelectric ceramics substrate 10. One end of the lead frame 1010 is fixedly connected to the primary-side electrode 52 via the connecting portion 152 by welding. The other end of the lead frame 1010 is connected to a support member 1001 for fixation thereto. One end of the lead frame 1020 is fixedly connected to the primary-side electrode 54 via the connecting portion 154 by welding. The other end of the lead frame 1020 is connected to a support member 1002 for fixation thereto. The connecting portions 152 and 154 are at 1/4 of the longitudinal length of the piezoelectric ceramics substrate 10 from the primary-side end surface 16 such that they are centrally located in the lateral direction perpendicular to the longitudinal direction of the piezoelectric ceramics substrate 10. Since the connecting portion 152 between the primary-side electrode 52 and the lead frame 1010 and the connecting portion 154 between the primary-side electrode 54 and the lead frame 1020 are provided in the vibrational node 202 in the longitudinal direction of the piezoelectric ceramics substrate 10, it is possible to minimize obstruction to vibration in the longitudinal direction of the piezoelectric transformer element 100 occurred when lead terminals are connected thereto. The lead frame 1430 is comprised of sub-lead frames 1431 to 1434. The sub-lead frame 1431 extends linearly in the longitudinal direction of the piezoelectric ceramics substrate 10, and one end of the sub-lead frame 1431 is fixedly connected to the secondary-side electrode 74 via a connecting portion 174 by welding. The connecting portion 174 is provided at the center in the widthwise direction of the piezoelectric ceramics substrate 10. A sub-lead frame 1432 linearly extends in the longitudinal direction of the piezoelectric ceramics substrate 10, and one end of the sub-lead frame 1432 is fixedly connected to the supporting member 1003. A sub-lead frame 1433 curvedly extends from the other end of the sub-lead frame 1431 in the lateral direction of the piezoelectric ceramics substrate 10 toward a lateral end surface 18 such that the tip end of the sub-lead frame 1433 is curved toward the supporting member 1003. Similarly, a sub-lead frame 1434 curvedly extends from the other end of the sub-lead frame 1432 in the same direction such that the sub-lead frame 1433 is curved toward the piezoelectric ceramics substrate 10. The tip ends of the sub-lead frames 1433 and 1434 are connected together in an integrated fashion, thereby forming a U-shaped resilient structure portion 1436. The connecting portion 174 between the secondary-side electrode 74 and the lead frame 1430 is provided in the vicinity of the secondary-side end surface 17 of the piezoelectric substrate 10 and is not disposed at the vibrational node in the longitudinal direction of the piezoelectric ceramics substrate 10. However, the lead frame 1430 is provided with the resilient structure portion 1436 in this embodiment, and consequently the sub-lead frames 1433 and 1434 bend to vibrate about the point 1435, respectively, in response to vibration in the longitudinal direction of the piezoelectric transformer element 100, thereby minimizing obstruction to vibration in the longitudinal direction of the piezoelectric transformer element 100. Twenty-fourth embodiment: FIG. 25 is a perspective view for explaining a piezoelectric transformer according to a twenty-fourth embodiment of the present invention. In this embodiment, the connecting portion 174 between the secondary-side electrode 74 and a lead frame 1430 is disposed in the vicinity of the secondary-side end surface 17 of the piezoelectric ceramics substrate 10 and is not located at the vibrational node in the longitudinal direction of the piezoelectric ceramics substrate 10. However, the lead frame 1440 includes a sub-lead frame 1443 extending in the transverse direction of the piezoelectric ceramics substrate 100. Therefore, bending action occurs about a point 1444 of the lead frame 1440 to vibrate, when the piezoelectric transformer element 100 vibrates in the longitudinal direction. Accordingly, it is possible to reduce obstruction to vibration in the longitudinal direction of the piezoelectric transformer element 100. Twenty-fifth embodiment: FIG. 26 is a perspective view for explaining a piezoelectric transformer according to a twenty-fifth embodiment of the present invention. The connecting portion 174 between the secondary-side electrode 74 and a lead frame 1450 is disposed in the vicinity of the secondary-side end surface 17 of the piezoelectric ceramics substrate 10 and is not located at the vibrational node in the longitudinal direction of the piezoelectric ceramics substrate 10. In this embodiment, however, the lead frame 1450 is provided with a resilient structure portion 1456. Therefore, sub-lead frames 1453 and 1454 of the resilient structure portion 1456 bend about a point 1455 to vibrate, when the piezoelectric transformer element 100 vibrates in the longitudinal direction. Accordingly, it is possible to reduce obstruction to vibration in the longitudinal direction of the piezoelectric transformer element 100. In the twenty-third through twenty-fifth embodiments, the lead frames 1430, 1440, and 1450 is preferably made of phosphor bronze into a thickness of 0.15 to 0.2 mm. Twenty-sixth embodiment: As shown in FIGS. 27A and 27B, a primary-side electrode 32 is disposed on the top face 12 of the rectangular parallelepipedic piezoelectric ceramics substrate 10 so as to cover a left third thereof, and another primary-side electrode 34 is provided on the bottom face 14 of the piezoelectric ceramics substrate 10 so as to be opposite to the primary-side electrode 32, and the portion of the piezoelectric ceramics substrate 10 sandwiched between the primary-side electrodes 32 and 34 is polarized in the thicknesswise direction of the piezoelectric ceramics substrate 10 between the top face 12 and the bottom face 14. A primary-side electrode 36 is provided on the top face 12 of the piezoelectric ceramics substrate 10 between the position at 1/3 of the longitudinal length of the substrate from the primary-side end surface 16 and a position at 2/3 of the longitudinal length of the substrate from the primary-side end surface 16, and another primary-side electrode 38 is provided on the bottom face 14 of the piezoelectric ceramics substrate 10 so as to be opposite to the primary-side electrode 36. The primary-side electrodes 32 and 36 are spaced apart from each other, and the primary-side electrodes 34 and 38 are similarly spaced apart from each other. A portion of the piezoelectric ceramics substrate 10 between the primary-side electrodes 36 and 38 is polarized in the thicknesswise direction of the piezoelectric ceramics substrate 10. A portion of the piezoelectric ceramics substrate 10 between the primary-side electrodes 32 and 34 and the portion of the piezoelectric ceramics substrate 10 between the primary-side electrodes 36 and 38 are polarized in the same direction. A secondary-side electrode 93 is disposed on the lateral end surface 18 of the piezoelectric ceramics substrate 10. This secondary-side electrode 93 extends from the secondary-side end surface 17 so as to cover a little less than one third of the lateral end surface 18 in the longitudinal direction of the piezoelectric substrate 10. A secondary-side electrode 94 is similarly disposed on a lateral end surface 19 of the piezoelectric ceramics substrate 10 so as to face the secondary-side electrode 93. The secondary-side electrode 93 is separated from the primary-side electrodes 36 and 38 by a predetermined amount, and the secondary-side electrode 94 is separated from the primary-side electrodes 36 and 38 by a predetermined amount. A portion of the piezoelectric ceramics substrate 10 between the secondary-side electrodes 93 and 94 is polarized in the widthwise direction of the substrate between the secondary-side end surfaces 18 and 19. One end of the power source 200 is connected to the primary-side electrode 32 via a connecting portion 132 and to the primary-side electrode 38 via a connecting portion 138. The other end of the power source 200 is connected to the primary-side electrode 34 via a connecting portion 134 and to the primary-side electrode 36 via a connecting portion 136. The secondary-side electrode 93 is connected to one end of the load 400 via a connecting portion 193, and the secondary-side electrode 94 is connected to the other end of the load 400 via a connecting portion 194. When a voltage from the power source 200 is applied between the primary-side electrodes 32 and 34, an electric field is applied to the left third of the piezoelectric ceramics substrate 10 in its thicknesswise direction, which brings about longitudinal vibration in the longitudinal direction as a result of a piezoelectric transverse effect involving a displacement perpendicular to the direction of polarization, whereby the overall piezoelectric transformer element 100 vibrates. The piezoelectric transformer element of the present embodiment can be actuated in such a resonance mode that one and a half wavelength of stress distribution exists between the primary-side end surface 16 and the secondary-side end surface 17. A voltage having a frequency equal to a resonance frequency in the one and a half wavelength mode is applied from the power source 200. Support points are provided at a position 212 at 1/6 of the longitudinal length of the piezoelectric ceramics substrate 10 from the primary-side end surface 16 and a position 216 at 1/6 of the longitudinal length of the piezoelectric ceramics substrate 10 from the secondary-side end surface 17 in the present embodiment. The primary-side and secondary-side end surfaces 16 and 17 of the piezoelectric ceramics substrate 10 are open, and therefore zero stress and the maximum amplitude appear at both longitudinal ends of the piezoelectric ceramics substrate 10. Further, in the present embodiment, the piezoelectric ceramics substrate 10 resonates in the one and a half wavelength mode, and hence stress and amplitude distributions respectively shown in FIGS. 27C and 27D are obtained. If the piezoelectric ceramics substrate 10 is actuated in such a one and a half wavelength mode, nodes of the vibration appear at three points, namely, a position (node 212) at 1/6 of the longitudinal length of the piezoelectric ceramics substrate 10 from the primary-side end surface 16, a position (node 214) at 1/2 of the longitudinal length of the piezoelectric ceramics substrate 10 from the primary-side end surface 16, and a position (node 216) at 5/6 of the longitudinal length of the piezoelectric ceramics substrate 10 from the primary-side end surface 16. In addition to the primary-side electrodes 32 and 34, the piezoelectric transformer element is further provided with the primary-side electrodes 36 and 38, thereby increasing the area of the primary-side electrodes. The input impedance of the piezoelectric transformer element 100 becomes correspondingly smaller. Consequently, electrical energy from the power source 200 is more readily fed to the piezoelectric transformer element 100. Further, since the primary-side electrode is made up of two regions, when a voltage is applied to the primary-side electrodes from the power source 200, for the previously mentioned reasons, the portion of the piezoelectric ceramics substrate 10 between the primary-side electrodes 36 and 38 vibrates so as to enhance, to a much greater extent, the resonance excited by the application of a voltage between the primary-side electrodes 32 and 34 from the power source 200. As a result, the electrical energy fed from the power source 200 can be more efficiently converted to mechanical elastic energy at the primary side. In this way, the primary-side electrodes 36 and 38 are provided in the region where stress arises in the direction opposite to the direction of the stress developing in the region in which the primary-side electrodes 32 and 34 are disposed. The portion of the piezoelectric ceramics substrate 10 between the primary-side electrodes 36 and 38 is polarized in the same direction as in the portion of the piezoelectric ceramics substrate 10 between the primary-side electrodes 32 and 34, but these portions are arranged to receive electrical fields in opposite directions. As a result, the electrical energy from the power source 200 is more readily fed to the piezoelectric transformer element 100, and the electrical energy fed from the power source 200 can be more efficiently converted to mechanical elastic energy at the primary side. For these reasons, the effective voltage step-up ratio of the piezoelectric transformer element 100 can be increased. Further, in the present embodiment, the secondary-side electrode 93 is disposed on the end surface 18 of the piezoelectric ceramics substrate 10 in the widthwise direction thereof, and the secondary-side electrode 94 is disposed on the lateral end surface 19 of the same in such a way as to be opposite to the secondary-side electrode 93. The portion of the piezoelectric ceramics substrate 10 between the secondary-side electrodes 93 and 94 is polarized in the widthwise direction of the substrate between the secondary-side end surfaces 18 and 19. Therefore, the portion of the piezoelectric ceramics substrate 10 between the secondary-side electrodes 93 and 94 is coupled, by a Poisson's ratio, to the resonance in the longitudinal direction excited by the portions of the piezoelectric ceramics substrate 10 between the primary-side electrodes 32 and 34 and between the primary-side electrodes 36 and 38. As a result, the portion between the secondary-side electrodes 93 and 94 vibrates in the widthwise direction of the piezoelectric ceramics substrate 10, and mechanical strain develops in the widthwise direction of the same, thereby resulting in a potential difference in the direction of polarization in the widthwise direction. This potential difference can be taken out of the secondary-side electrodes 93 and 94. In this way, the secondary-side electrodes 93 and 94 are separated from the primary-side electrodes 32, 34, 36, and 38 in terms of direct current. Independent ground electrodes are formed for the respective secondary-side and primary-side circuits (for example, the primary-side electrodes 34, 36 and the secondary-side electrode 93 can be used as separate ground electrodes which are independent of each other). Consequently, the grounds of the primary-side circuit and the secondary-side circuit can be insulated from each other, and it becomes possible to maintain the secondary side in a floated state without grounding the secondary-side region (for example, the secondary-side electrode 93 is floated without grounding), thereby resulting in improved noise resistance. In the present embodiment, it is possible to connect lead wires and lead frames to the secondary-side electrodes 93 and 94 at the vibrational node 216 of the longitudinal direction of the piezoelectric ceramics substrate 10. In consequence, it becomes possible to easily form electrical connections for the secondary-side electrodes and to provide mechanical support for the secondary-side portion without obstructing the longitudinal vibration in the longitudinal direction of the piezoelectric transformer element. Further, the output of the piezoelectric transformer element 100 becomes stable, and the piezoelectric transformer element can be easily encased. Since the piezoelectric transformer element 100 of the present embodiment is supported at the vibrational nodes 212 and 214, it is possible to minimize obstruction to vibration of the piezoelectric transformer element 100 occurred when it is supported. Twenty-seventh embodiment: FIG. 28 is a perspective view of a piezoelectric transformer element according to a twenty-seventh embodiment of the present invention. Differing from the twenty-sixth embodiment in which the secondary-side electrodes 93 and 94 are respectively provided on the end surfaces 18 and 19 in the widthwise direction of the piezoelectric ceramics substrate 10, the twenty-seventh embodiment comprises secondary-side electrodes 95 and 96 which are disposed on the top face 12 along the lateral end surfaces 18 and 19 in such a way as to be opposite to each other in the widthwise direction of the piezoelectric ceramics substrate 10. These secondary-side electrodes 95 and 96 extend from the secondary-side end surface 17 to a position at a little less than third of the longitudinal length of the piezoelectric ceramics substrate 10 from the secondary-side end surface 17. In other respects, the twenty-seventh embodiment is the same as the twenty-sixth embodiment. In the present embodiment, the secondary-side electrodes 95 and 96 are disposed on the top face 12 of the piezoelectric ceramics substrate 10, and hence they can be formed through the same film-forming process as the primary-side electrodes 32 and 36. Further, the lead wires or lead frames are connected to only the top and bottom faces 12 and 14 of the piezoelectric ceramics substrate, which makes it possible to simplify the shapes of the lead wires or lead frames. Twenty-eighth embodiment: FIG. 29 is a perspective view for explaining the piezoelectric transformer element 100 and its mounting method according to a twenty-eighth embodiment. The piezoelectric transformer element 100 of the twenty-eighth embodiment is the same as that of the twenty-seventh embodiment except that two regions on the primary side are polarized in opposite directions, and the corresponding electrodes 61 and 62 are electrically integrated together. The piezoelectric transformer element 100 is supported by lead frames 1081, 1082, 1083, and 1084. The lead frames 1082 and 1083 are supported by a supporting member 1091. The lead frames 1081 and 1084 are supported by a supporting member 1092. One end of the lead frame 1081 is fixedly connected to the primary-side electrode 61 via the connecting portion 161 by welding. One end of the lead frame 1082 is fixedly connected to the secondary-side electrode 62 via the connecting portion 162 by welding. One end of the lead frame 1083 is fixedly connected to a primary-side electrode 95 via a connecting portion 195 by welding. One end of the lead frame 1084 is fixedly connected to a primary-side electrode 96 via a connecting portion 196 by welding. The connecting portions 161 and 162 are at 1/6 of the longitudinal length of the piezoelectric ceramics substrate 10 from the primary-side end surface 16 such that they are centrally located in the lateral direction of the substrate. The connecting portions 195 and 196 are provided at 1/6 of the longitudinal length of the piezoelectric ceramics substrate 10 from the secondary-side end surface 17. In the present embodiment, the connecting portion 161 between the primary-side electrode 61 and the lead frame 1081 and the connecting portion 162 between the primary-side electrode 62 and the lead frame 1082 are provided in the vibrational node 212, whereas the connecting portion 195 between the secondary-side electrode 95 and the lead frame 1083 and the connecting portion 196 between the secondary-side electrode 96 and the lead frame 1084 are provided in the vibrational node 216. moreover, the lead frames 1081 through 1084 are thin and have a plenty of spring properties. Consequently, it is possible to minimize obstruction to vibration of the piezoelectric transformer element 100 occurred when it is supported or electrically connected. Piezoelectric ceramics of Pb(Ni 1/3 Nb 2/3 )O 3 -Pb(Zn 1/3 Nb 2/3 )O 3 -PbTiO 3 -PbZrO 3 fabricated by firing was cut into a rectangular parallelepiped of 36 mm long, 7 mm wide and 1 mm in thickness to form the piezoelectric ceramics substrate 10. Subsequently, the primary side of the piezoelectric ceramics substrate 10 was fabricated in a manner similar to that used in the nineteenth embodiment. The secondary-side electrode 95 which was 10 mm long and 1 mm wide extended from the secondary-side end surface 17 along the lateral end surface 18. The secondary-side electrode 96 which was 10 mm long and 1 mm wide extended from the secondary-side end surface 17 along the lateral end surface 19. The space between the secondary-side electrodes 95 and 96 was 5 mm, and the secondary-side electrodes 95 and 96 faced each other over a length of 10 mm. The secondary-side electrode 95 was connected to the negative terminal of a high-voltage DC power source for polarization (not shown), whereas the secondary-side electrode 96 was connected to the positive terminal of this high-voltage DC power source. With this connection, a voltage of 10 kV was applied to polarize the secondary-side region "b" in the widthwise direction of the substrate in silicon oil at temperature of 100°C. The impedance characteristics of the primary and secondary side regions of the piezoelectric transformer element 100 were measured while it was suspended with lead wires. FIG. 30 shows the impedance characteristics of the primary side, and FIG. 32 shows the impedance characteristics of the secondary side. As shown in FIG. 29, one end of the lead frame 1081 is fixedly connected to the primary-side electrode 61 via the connecting portion 161 by welding. One end of the lead frame 1082 is fixedly connected to the secondary-side electrode 62 via the connecting portion 162 by welding. One end of the lead frame 1083 is fixedly connected to a primary-side electrode 95 via a connecting portion 195 by welding. One end of the lead frame 1084 is fixedly connected to a primary-side electrode 96 via a connecting portion 196 by welding. In this state, the impedance characteristics of the primary and secondary side regions of the piezoelectric transformer element 100 were measured. FIG. 31 shows the impedance characteristics of the primary side. FIG. 33 shows the impedance characteristics of the secondary side. When compared with the impedance characteristics, shown in FIG. 30 and FIG. 32 which was obtained while the piezoelectric transformer element 100 was suspended with the lead wires, there was a slight increase in resonance impedance which was, however, practically negligible. Further, no spurious was observed, and superior characteristics were exhibited. Then, one end of a power source (not shown) was connected to the primary-side electrode 61 via the lead frame 1081, and the other end of the power source (not shown) was connected to the primary-side electrode 62 via the lead frame 1082. The secondary-side electrode 95 was connected to one end of a load (not shown) via the lead frame 1083. The other end of the load (not shown) was connected to the primary-side electrode 96 via the lead frame 1084. The load used in this embodiment was a CFL of 225 mm long and 2.6 mm in diameter for use in A4-size notebook personal computers. A voltage having a frequency of 130 kHz was applied from the power source (not shown) to the piezoelectric transformer element 100. In this embodiment, a luminance of 30,000 cd/m 2 was obtained in the CFL at an input voltage of 30 V rms . It was possible to initiate lighting of the CFL at an input voltage of approximately 18 V rms . Twenty-ninth embodiment: FIG. 34 is a perspective view for explaining a piezoelectric transformer according to a twenty-ninth embodiment of the present invention. The piezoelectric transformer element 100 is supported by lead frames 1081, 1082, 1110, and 1210. The lead frames 1082 and 1110 are supported by the supporting member 1091. The lead frames 1081 and 1210 are supported by the supporting member 1092. The lead frames 1081, 1082, 1110, and 1210 are disposed in the direction perpendicular to the longitudinal direction of the piezoelectric ceramics substrate 10. One end of the lead frame 1081 is fixedly connected to the primary-side electrode 61 via the connecting portion 161 located at a point which is the vibrational node in the longitudinal and is also the vibrational node in the lateral directions of the substrate by welding. The other end of the lead frame 1081 is fixedly connected to the supporting member 1092. One end of the lead frame 1082 is fixedly connected to the secondary-side electrode 62 via the connecting portion 162 located so as to be opposite to the connecting portion 161 by welding. The other end of the lead frame 1082 is fixedly connected to the supporting member 1091. In this way, the connecting portions 161 and 162 are provided at a point which is the vibrational node in the longitudinal direction and is also the vibrational node in the lateral direction, and therefore it is possible to minimize obstruction to vibration of the piezoelectric transformer element 100 in the widthwise direction thereof occurred when the lead frames 1081 and 1082 are connected to the piezoelectric transformer element 100. The connecting portion 195 between the secondary-side electrode 95 and the lead frame 1110 and the connecting portion 196 between the secondary-side electrode 96 and the lead frame 1210 are provided in the vibrational node 216 in the longitudinal direction of the piezoelectric ceramics substrate 10. Therefore, it is possible to minimize obstruction to vibration of the piezoelectric transformer element 100 in the longitudinal direction thereof occurred when the lead frames 1110 and 1210 are connected to the piezoelectric transformer element 100. The portion of the piezoelectric ceramics substrate 10 between the secondary-side electrodes 95 and 96 is polarized in the widthwise direction of the piezoelectric ceramics substrate. Therefore, the portion of the piezoelectric ceramics substrate 10 between the secondary-side electrodes 95 and 96 is coupled, by a Poisson's ratio, to the resonance in the longitudinal direction excited by the portions of the piezoelectric ceramics substrate 10 between the primary-side electrodes 61 and 62. As a result, the portion between the secondary-side electrodes 95 and 96 vibrates in the widthwise direction of the piezoelectric ceramics substrate 10. Consequently, the vibrational node in the widthwise direction matches the lateral center of the piezoelectric ceramics substrate 10, and the connecting portion 195 between the secondary-side electrode 95 and the lead frame 1110 and the connecting portion 196 between the secondary-side electrode 96 and the lead frame 1210 are not located in the vibrational node in the widthwise direction of the piezoelectric ceramics substrate 10. In this embodiment, the lead frames 1110 and 1210 are provided with resilient structure portions 1120 and 1220, respectively. Due to vibration of the piezoelectric transformer element 100 in the widthwise direction thereof, sub-lead frames 1113 and 1115 vibrate in the widthwise direction of the piezoelectric ceramics substrate 10 such that they bend about a point 1117, and sub-lead frames 1114 and 1116 vibrate in the widthwise direction of the piezoelectric ceramics substrate 10 such that they bend about a point 1118. Hence, obstruction to vibration in the widthwise direction of the piezoelectric transformer element 100 is reduced. In the present embodiment, the lead frame of the secondary-side electrode is provided with a ring-shaped resilient structure portion 1220 consisting of the sub-lead frames 1216, 1218, 1213, and 1215 as a resilient structure portion. However, the resilient portion may be replaced with, for example, a U-shaped resilient portion 1222 which is similar to the half of the ring-shaped structure and consists of the sub-lead frames 1216 and 1218. Thirtieth embodiment: FIG. 35 is a perspective view for explaining a piezoelectric transformer according to a thirtieth embodiment of the present invention. In the present embodiment, the connecting portion 195 between the secondary-side electrode 95 and a lead frame 1140 and the connecting portion 196 between the secondary-side electrode 96 and a lead frame 1240 are not located in the vibrational node in the widthwise direction of the piezoelectric ceramics substrate 10. However, the lead frames 1140 and 1240 are respectively provided with sub-lead frames 1143 and 1243 which extend in the longitudinal direction of the piezoelectric ceramics substrate 10. Corresponding to vibration of the piezoelectric transformer element 100 in the widthwise direction thereof, the sub-lead frames 1143 vibrates as a result of bending action arising around a point 1144, and the sub-lead frames 1243 vibrates as a result of bending action arising around a point 1244. Hence, obstruction to vibration in the widthwise direction of the piezoelectric transformer element 100 is reduced. Thirty-first embodiment: FIG. 36 is a perspective view for explaining a piezoelectric transformer according to a thirty-first embodiment of the present invention. In the present embodiment, the connecting portion 195 between the secondary-side electrode 95 and a lead frame 1150 and the connecting portion 196 between the secondary-side electrode 96 and a lead frame 1250 are not located in the vibrational node in the widthwise direction of the piezoelectric ceramics substrate 10. However, the lead frames 1150 and 1250 are respectively provided with sub-lead frames 1153 and 1253 which extend in the longitudinal direction of the piezoelectric ceramics substrate 10. Due to vibration of the piezoelectric transformer element 100 in the widthwise direction thereof, the sub-lead frames 1153 vibrates such that it bends about a point 1154, and the sub-lead frames 1253 vibrates such that it bends about a point 1254. Hence, obstruction to vibration in the widthwise direction of the piezoelectric transformer element 100 is reduced. In the twenty-ninth to thirty-first embodiments, lead frames 1081, 1082, 1110, 1140, 1150, 1210, 1240 and 1250 can be easily machined by etching or press. These lead frames 1081, 1082, 1110, 1140, 1150, 1210, 1240 and 1250 are preferably made of phosphor bronze into a thickness of 0.15 to 0.2 mm. Thirty-second embodiment: FIG. 37 is a perspective view for explaining a piezoelectric transformer according to a thirty-second embodiment of the present invention. In the present embodiment, the connecting portion 195 between the secondary-side electrode 95 and a lead frame 1160 and the connecting portion 196 between the secondary-side electrode 96 and a lead frame 1260 are not located in the vibrational node in the widthwise direction of the piezoelectric ceramics substrate 10. However, the lead frames 1160 and 1260 are respectively provided with resilient structure portions 1169 and 1269. Due to vibration of the piezoelectric transformer element 100 in the widthwise direction thereof, the sub-lead frames 1163 and 1164 vibrate such that they bend about a point 1165, and the sub-lead frames 1263 and 1264 vibrate such that they bend about a point 1265. Hence, obstruction to vibration in the widthwise direction of the piezoelectric transformer element 100 is reduced. Here, the lead frames 1160 and 1260 are preferably made of iron alloy or phosphor bronze, and have a thickness of 0.15 - 0.2 mm. Although the piezoelectric transformer element 100 used in the twenty-eight embodiment was also used in the twenty-ninth through thirty-second embodiments, these embodiments may be applicable to piezoelectric transformer elements in which the secondary-side region is polarized in the widthwise direction. Thirty-third embodiment: FIG. 38 is a perspective view showing a piezoelectric transformer element according to a thirty-third embodiment of the present invention. This embodiment is the same as the twenty-eighth embodiment shown in FIG. 29 except that the secondary-side electrodes 93 and 94 are respectively provided on the end surfaces 18 and 19 of the piezoelectric ceramics substrate 10 such that they extend to a point at a little less than third of the longitudinal length of the piezoelectric ceramics substrate 10 from the secondary end surface 17. Thirty-fourth embodiment: FIGS. 39A and 39B are perspective and cross sectional views of a piezoelectric transformer element according to a thirty-fourth embodiment of the present invention. The present embodiment is the same as the twenty-eighth embodiment shown in FIG. 29 except for the following points. The secondary-side electrode 95 is provided on the top face 12 of the piezoelectric ceramics substrate 10 along the lateral end surface 18 such that it extends to a point at a little less than third of the longitudinal length of the piezoelectric ceramics substrate 10 from the secondary end surface 17. The secondary-side electrode 97 is provided on the bottom face 14 of the piezoelectric ceramics substrate 10 along the lateral end surface 19 such that it extends to a point at a little less than third of the longitudinal length of the piezoelectric ceramics substrate 10 from the secondary end surface 17. Thus, the secondary-side electrode 95 and the secondary-side electrode 97 are arranged to be opposite in the widthwise direction of the piezoelectric ceramics substrate 10, and they are separated from the primary-side electrodes 61 and 62 in the longitudinal direction of the piezoelectric ceramics substrate 10, respectively. In the present embodiment, the secondary-side electrode 95 is disposed on the top face 12 of the piezoelectric ceramics substrate 10, and hence it can be formed through the same film-forming process as the primary-side electrode 61. The secondary-side electrode 97 is disposed on the bottom face 14 of the piezoelectric ceramics substrate 10, and hence it can be formed through the same film-forming process as the primary-side electrode 62. Further, the lead wires or lead frames are connected to only the top and bottom faces 12 and 14 of the piezoelectric ceramics substrate, which makes it possible to simplify the shapes of the lead wires or lead frames. Thirty-fifth embodiment: As shown in FIGS. 40A and 40B, a primary-side electrode 52 is disposed on the top face 12 of the rectangular parallelepipedic piezoelectric ceramics substrate 10 so as to cover the left three-fourth thereof, and another primary-side electrode 54 is provided on the bottom face 14 of the piezoelectric ceramics substrate 10 so as to be opposite to the primary-side electrode 52, whereby a portion of the piezoelectric ceramics substrate 10 sandwiched between the primary-side electrodes 52 and 54, i.e., the area designated as a primary-side region "a", is polarized in a thicknesswise direction of the piezoelectric ceramics substrate 10 between the top face 12 and the bottom face 14. A portion of the piezoelectric ceramics substrate 10 between the primary-side end surface 16 and a position at half of the longitudinal length of the substrate from the primary-side end surface 16, that is, a region "o", is polarized in downward direction. Another portion of the piezoelectric ceramics substrate 10 between the position at half of the longitudinal length of the substrate from the primary-side end surface 16 and a position at 3/4 of the longitudinal length of the substrate from the primary-side end surface 16, that is, a region "p", is polarized in the upward direction of the piezoelectric ceramics substrate 10. In this way, the regions "o" and "p" of the piezoelectric ceramics substrate 10 have opposite directions of polarization to each other. The secondary-side electrodes 98 and 99 are disposed on the lateral end surfaces 18 and 19 in a portion of the piezoelectric ceramics substrate 10 between the position at 3/4 of the longitudinal length of the substrate from the primary-side end surface 16 and the secondary-side end surface 17, that is, a secondary-side region "b". These secondary-side electrodes 98 and 99 extend to a little less than quarter of the longitudinal length of the piezoelectric ceramics substrate 10 from the secondary-side end surface 17. These secondary-side elements 98 and 99 are separated from the primary-side electrodes 52 and 54 by a predetermined distance. A portion of the piezoelectric ceramics substrate 10 between the secondary-side electrodes 98 and 99 is polarized in the widthwise direction of the piezoelectric ceramics substrate 10. One end of the power source 200 is connected to the primary-side electrode 52 via the connecting portion 152. The other end of the power source 200 is connected to the primary-side electrode 54 via the connecting portion 154. A secondary-side electrode 98 is connected to one end of the load 400 via a connecting portion 198, and a secondary-side electrode 99 is connected to the other end of the load 400 via a connecting portion 199. The piezoelectric transformer element 100 can be actuated at such a frequency that the piezoelectric transformer element 100 operates in one wavelength mode as shown in FIGS. 40C and 40D. Nodes of vibration appear at two positions: namely, a position (node 202) at 1/4 of the longitudinal length of the piezoelectric ceramics substrate 10 from the primary-side end surface 16 and a position (node 204) at 3/4 of the longitudinal length of the piezoelectric ceramics substrate 10 from the end surface 16. In the present embodiment, the connecting portions 152 and 154 are provided in the vibrational node 202. In the present embodiment, the primary-side electrodes 52 and 54 extend from the primary-side end surface 16 to the position at 3/4 of the longitudinal length of the piezoelectric ceramics substrate 10 from the primary-side end surface 16. Consequently, the area of the primary-side electrodes increases, and the input impedance of the piezoelectric transformer element 100 becomes correspondingly smaller. As a result, electrical energy from the power source 200 is more readily fed to the piezoelectric transformer element 100. The stress developed in the region "o" is oriented in the direction from the bottom face 14 toward the top face 12 of the piezoelectric ceramics substrate 10, whereas the stress developed in the region "p" is oriented in the direction from the top face 12 toward the bottom face 14 of the same. Thus, these regions "o" and "p" of the piezoelectric ceramics substrate 10 have opposite directions of polarization to each other but receive electrical fields in the same direction. For these reasons, when a voltage is applied from the power source 200 between the primary-side electrodes 52 and 54, the region "p" of the piezoelectric ceramics substrate 10 vibrates so as to enhance resonance resulting from application of a voltage to the region "o" from the power source 200 to a much greater extent. As a result, the electrical energy fed from the power source 200 can be more efficiently converted into mechanical elastic energy at the primary-side region. In this way, the secondary-side electrodes 98 and 99 are separated from the primary-side electrodes 52 and 54 in terms of direct current. Independent ground electrodes are formed for the secondary-side and primary-side circuits (for example, the primary-side electrode 54 and the secondary-side electrode 98 are used as ground electrodes which are independent of each other). Consequently, the grounds of the primary-side circuit and the secondary-side circuit can be insulated from each other, and it becomes possible to maintain the secondary side in a floated state without grounding (for example, the secondary-side electrode 98 is floated without grounding), thereby resulting in improved noise resistance. Even in this embodiment, the piezoelectric transformer element 100 is supported at the vibrational node 202, thereby minimizing obstruction to vibration of the piezoelectric transformer element 100 occurred when it is supported. Thirty-sixth embodiment: As shown in FIG. 41A, the primary-side electrode 61 is disposed on the top face 12 of the rectangular parallelepipedic piezoelectric ceramics substrate 10 so as to cover the left two-thirds thereof, and the primary-side electrode 62 is provided on the bottom face 14 of the piezoelectric ceramics substrate 10 so as to be opposite to the primary-side electrode 61, whereby a portion of the piezoelectric ceramics substrate 10 sandwiched between the primary-side electrodes 61 and 62, i.e., the area designated as a primary-side region "a", is polarized in a thicknesswise direction of the piezoelectric ceramics substrate 10 between the top face 12 and the bottom face 14. A portion of the piezoelectric ceramics substrate 10 between the primary-side end surface 16 and a position at a third of the longitudinal length of the substrate from the primary-side end surface 16, that is, a region "k", is polarized in the downward direction. Another portion of the piezoelectric ceramics substrate 10 between the position at a third of the longitudinal length of the substrate from the primary-side end surface 16 and a position at 2/3 of the longitudinal length of the substrate from the primary-side end surface 16, that is, a region "l", is polarized in the upward direction. In this way, the regions "k" and "l" of the piezoelectric ceramics substrate 10 have opposite directions of polarization to each other. The secondary-side electrodes 64 and 65 are disposed on the bottom surface 14 along the lateral end surfaces 18 and 19 within the portion of the piezoelectric ceramics substrate 10 between the position at 2/3 of the longitudinal length of the substrate from the primary-side end surface 16 and the secondary-side end surface 17, that is, a secondary-side region "b". These secondary-side electrodes 64 and 65 are arranged such that they face each other in the widthwise direction of the piezoelectric ceramics substrate 10, and extend to a little less than third of the longitudinal length of the piezoelectric ceramics substrate 10 from the secondary-side end surface 17. These secondary-side electrodes 64 and 65 are respectively separated from the primary-side electrode 62 by a predetermined distance. In the portion (secondary-side region "b") between the position at 2/3 of the longitudinal length of the piezoelectric ceramics substrate 10 from the primary-side end surface 16 and the secondary-side end surface 17, the secondary-side electrode 63 is disposed on the top face 12 of the piezoelectric ceramics substrate 10 at the center portion in the widthwise direction such that the secondary-side electrode 63 faces the secondary-side electrodes 64 and 65 in the widthwise direction of the piezoelectric ceramics substrate 10. The secondary-side electrode 63 extends in the longitudinal direction from the secondary-side end surface 17 to a position at a little less than a third of the longitudinal length of the piezoelectric ceramics substrate 10 from the secondary-side end surface 17. In other words, the secondary-side electrode 63 is separated from the primary-side electrode 61 by a predetermined distance. The secondary-side electrode 63 extending from the secondary-side end surface 17 has the same length as the secondary-side electrodes 64 and 65 extending from the secondary-side end surface 17. A portion of the secondary-side region "b" between the secondary-side electrodes 64 and 63 and another portion of the secondary-side region "b" between the secondary-side electrodes 65 and 63 are polarized in opposite widthwise directions of the piezoelectric ceramics substrate 10. When a voltage is applied between the primary-side electrodes 61 and 62, an electrical field is applied to the left two-thirds of the piezoelectric ceramics substrate 10 in its thicknesswise direction (that is, the primary-side region "a") which brings about longitudinal vibration in the longitudinal direction as a result of a piezoelectric transverse effect involving a displacement perpendicular to the direction of polarization, whereby the overall piezoelectric transformer element 100 vibrates. The piezoelectric transformer element of the present embodiment can be actuated in such a resonance mode that one and a half wavelength of stress distribution exists between the primary-side end surface 16 and the secondary-side end surface 17. A voltage having a frequency equal to a resonance frequency in the one and a half wavelength mode is applied between the primary-side electrodes 61 and 62. The primary-side and secondary-side end surfaces 16 and 17 of the piezoelectric ceramics substrate 10 are open, and therefore zero stress and the maximum amplitude appear at both longitudinal ends of the piezoelectric ceramics substrate 10. Further, in the present embodiment, the piezoelectric ceramics substrate 10 can resonate in the one and a half wavelength mode, and hence stress and amplitude distributions are obtained as respectively shown in FIGS. 41B and 41C. If the piezoelectric ceramics substrate 10 is actuated in such a one and a half wavelength mode, nodes of the vibration appear at three positions, namely, a position (node 212) at 1/6 of the longitudinal length of the piezoelectric ceramics substrate 10 from the primary-side end surface 16, a position (node 214) at 1/2 of the longitudinal length of the piezoelectric ceramics substrate 10 from the primary-side end surface 16, and a position (node 216) at 5/6 of the longitudinal length of the piezoelectric ceramics substrate 10 from the primary-side end surface 16. In the present embodiment, the connecting portions 161 and 162 are provided in the vibrational node 212, and the connecting portion 263 is provided in the vibrational node 216. The primary-side electrodes 61 and 62 are extended in the primary-side region "a" so as to cover the regions "k" and "l" where stress arises in opposite directions. These regions "k" and "l" have different directions of polarization but have the same direction of application of an electrical field. As a result, the input impedance of the piezoelectric transformer element 100 becomes smaller, and the electrical energy from a power source (not shown) connected between the primary-side terminals 1201 and 1202 is more readily fed to the piezoelectric transformer element 100. Further, the electrical energy can be more efficiently converted to mechanical elastic energy at the primary-side region "a". For these reasons, the effective voltage step-up ratio of the piezoelectric transformer element 100 can be increased. Compared with a piezoelectric transformer element in which the portion of the secondary-side region "b" between the secondary-side electrodes 64 and 65 is polarized in only any one direction, the distance between the secondary-side electrodes becomes half, the area of the electrodes becomes double, the capacitance of the secondary-side region is increased to four times, and the output impedance of the piezoelectric transformer element 100 is reduced to a quarter. As the output impedance of the piezoelectric transformer element 100 becomes smaller, voltage applied to a load connected between secondary-side terminals 1301 and 1302 is correspondingly increased, which makes it possible for the piezoelectric transformer element to actuate a load having a low impedance. The distance between the secondary-side electrodes is short, thereby reducing an absolute voltage to be applied for polarization. Consequently, a countermeasure against high voltages becomes easy to implement, and a power source outputting a lower voltage can be employed for polarization. Manufacture of the piezoelectric transformer element 100 of the present embodiment will now be described with reference to FIG. 42. In the present embodiment, the primary-side electrode 611 is formed on the top face 12 in the region "k" of the piezoelectric ceramics substrate 10 by screen printing. Similarly, the primary-side electrode 621 is formed on the bottom face 14 in the region "k" of the same, the primary-side electrode 613 is formed on the top face 12 in the region "l" of the same, the primary-side electrode 623 is formed on the bottom face 14 in the region "l" of the same, the secondary-side electrode 63 is formed on the top face 12 at the center of the secondary-side region "b", and the secondary-side electrodes 64 and 65 are formed on the bottom face 14 in the secondary-side region "b". Subsequently, the primary-side electrodes 611 and 621 are connected to the positive terminal of a high-voltage DC power source (not shown) for polarization purposes, and the primary-side electrodes 613 and 623 are connected to the negative terminal of another high-voltage DC power source (not shown). With this connection, a high voltage is applied from the respective high-voltage DC power sources to polarize the regions "k" and "1" in the thicknesswise direction of the substrate. On the other hand, the secondary-side electrodes 64 and 65 are connected to one end of a high-voltage DC power source (not shown) for polarization purposes, whereas the secondary-side electrode 63 is connected to the other end of the same high-voltage DC power source (not shown). With this connection, a high voltage is applied to laterally polarize the secondary-side region "b". The primary-side electrodes 611 and 613 were connected together via conductive paste 633 to make the primary-side electrode 61 shown in FIG. 41A. The primary-side electrodes 621 and 623 are connected together via conductive paste 643 to make the primary-side electrode 62 as shown in FIG. 41A. Although the primary-side electrodes 611, 613, 621, and 623 are connected together using the conductive paste, they may be electrically connected together using lead wires instead of the conductive paste. Thirty-seventh embodiment: FIGS. 43A to 43E are schematic representations and waveforms for explaining a piezoelectric transformer element according to a thirty-seventh embodiment of the present invention. FIG. 43A is a top view, FIG. 43B is a bottom view, FIG. 43C is a cross section taken along line X-X shown in FIG. 43A, FIG. 43D is a waveform showing a stress distribution obtained when the transformer is actuated in a 1.5 wavelength mode, and FIG. 43E is a waveform showing an amplitude distribution. In this way, a ground electrode 70 serving as the secondary-side electrodes 66 and 67 and the primary-side electrode 62 is disposed on the bottom face 14 of the piezoelectric ceramics substrate 10. As a result of this configuration, it does not need to provide the secondary-side electrodes 66 and 67 with external connections using lead wires. The secondary-side electrode 63 is connected to a lead frame (not shown) via a connecting portion 263. Although two regions on the primary side are polarized in opposite directions in the present embodiment, these two regions may be polarized in the same direction, and electrodes provided in one of the regions may be connected to electrodes provided on the opposite side of the other region, respectively.

Claims: A piezoelectric transformer comprising a piezoelectric substrate (10, 300, 700) having a first main face (12, 302) and a second main face (14, 304) opposed to said first main face wherein a direction in which said first main face (12, 302) and the second main face (14, 304) extend is taken as a first direction of said piezoelectric substrate (10, 300, 700) and wherein said piezoelectric substrate (10, 300, 700) includes in the first direction a first region and a second region, a first primary-side electrode (22, 32, 322, 52, 56, 61, 61', 742, 746) and a second primary-side electrode (24, 34, 324, 54, 58, 62, 62', 744, 748) being disposed on said first and second main faces (12, 14, 302, 304), respectively, of said first region and opposite to each other, said first region between said first primary-side electrode (22, 32, 322, 52, 56, 61, 61', 742, 746) and said second primary-side electrode (24, 34, 324, 54, 58, 62, 62', 744, 748) being polarized in the thicknesswise direction between said first and second main faces (12, 14, 302, 304), and a secondary-side electrode (72, 74, 76, 77, 81, 82, 91, 92, 374, 376, 772) being disposed on said second region of said piezoelectric substrate (10, 300, 700) which is separated from said first region by a predetermined spacing in the first direction, said second region being polarized in the first direction, characterized in that: said first region of the piezoelectric substrate (10, 300, 700) accounts for substantially 1/n (n is an integer equal to or greater than 2) of the length of said piezoelectric substrate in the first direction, said piezoelectric substrate further includes a third region, said third region being provided, in the first direction, between said first and second regions and accounting for 1/n or less of the length of said piezoelectric substrate (10, 300, 700) in the first direction, a third primary-side electrode (26, 36, 42, 326, 52, 56, 61, 61'', 752, 756) and a fourth primary-side electrode (28, 38, 44, 328, 54, 58, 62, 62'', 754, 758) is disposed on said first and second main faces (12, 14, 302, 304), respectively, of said third region and opposite to each other, said third region between said third primary-side electrode (26, 36, 42, 326, 52, 56, 61, 61'', 752, 756) and said fourth primary-side electrode (28, 38, 44, 328, 54, 58, 62, 62'', 754, 758) is polarized in a predetermined direction along the thicknesswise direction, said third primary-side electrode (26, 36, 42, 326, 52, 56, 61, 61'', 752, 756) and said fourth primary-side electrode (28, 38, 44, 328, 54, 58, 62, 62'', 754, 758) being electrically connected to said first primary-side electrode (22, 32, 322, 52, 56, 61, 61', 742, 746) and said second primary-side electrode (24, 34, 324, 54, 58, 62, 62', 744, 748) in a predetermined connecting state. A piezoelectric transformer as claimed in Claim 1, wherein said third region between said third primary-side electrode (26, 36, 326) and said fourth primary-side electrode (28, 38, 328) is polarized in the same direction as in said first region between said first primary-side electrode (22, 32, 322) and said second primary-side electrode (24, 34, 324), said third primary-side electrode (26, 36, 326) and said second primary-side electrode (24, 34, 324) are electrically connected, and said fourth primary-side electrode (28, 38, 328) and said first primary-side electrode (22, 32, 322) are electrically connected. A piezoelectric transformer as claimed in Claim 1, wherein said third region between said third primary-side electrode (52, 56, 61, 61'', 752, 756) and said fourth primary-side electrode (54, 58, 62, 62'', 754, 758) is polarized in a direction opposite to the direction of polarization in said first region between said first primary-side electrode (52, 56, 61, 61', 742, 746) and said second primary-side electrode (54, 58, 62, 62', 744, 748), said third primary-side electrode (52, 56, 61, 61'', 752, 756) and said first primary-side electrode (52, 56, 61, 61', 742, 746) are electrically connected, and said fourth primary-side electrode (54, 58, 62, 62'', 754, 758) and said second primary-side electrode (54, 58, 62, 62', 744, 748) are electrically connected. A piezoelectric transformer as claimed in any one of Claims 1-3, wherein said piezoelectric substrate is further provided with a fifth region and a sixth region arranged in the first direction, said fifth region is provided opposite to said first region with respect to said second region and has a length of substantially 1/n of the length of said piezoelectric substrate in the first direction, a seventh primary-side electrode (422) and an eighth primary-side electrode (424) are disposed on said first and second main faces (302, 304), respectively, of said fifth region such that they face each other, said fifth region between said seventh primary-side electrode (422) and said eighth primary-side electrode (424) is polarized in a predetermined direction along the thicknesswise direction, said seventh primary-side electrode (422) and said eighth primary-side electrode (424) are electrically connected to said first primary-side electrode (322) and said second primary-side electrode (324) in a predetermined connecting state, said sixth region is provided between said fifth region and said second region and has a length of 1/n or less of the length of said piezoelectric substrate in the first direction, a ninth primary-side electrode (426) and a tenth primary-side electrode (428) are disposed on said first and second main faces (302, 304), respectively, of said sixth region such that they face each other, said sixth region between said ninth primary-side electrode (426) and said tenth primary-side electrode (428) is polarized in a predetermined direction along the thicknesswise direction, said ninth primary-side electrode (426) and said tenth primary-side electrode (428) are electrically connected to said first primary-side electrode (322) and said second primary-side electrode (324) in a predetermined connecting state, a secondary-side electrode (374, 376) is disposed on at least either said first or second main face (302, 304), and portions of said second region on both sides of said secondary-side electrode (374, 376) are polarized in the first direction, A piezoelectric transformer as claimed in Claim 1, wherein said piezoelectric substrate has a first end surface (16) and a second end surface (17) which intersect perpendicularly to the first direction, said first and second primary-side electrodes (22, 24) are disposed extending in the first direction from said first end surface (16) to a position located approximately half the distance between said first end surface (16) and said second end surface (17) as measured from said first end surface (16), said third and fourth primary-side electrodes (26, 28) are disposed in separation from said first and second primary-side electrodes (22, 24) and said secondary-side electrode (72), said third region is polarized in the same thicknesswise direction as in said first region, said fourth primary-side electrode (28) and said first primary-side electrode (22) are electrically connected, and said third primary-side electrode (26) and said second primary-side electrode (24) are electrically connected. A piezoelectric transformer as claimed in Claim 1, wherein said piezoelectric substrate has a first end surface (16) and a second end surface (17) which intersect perpendicularly to the first direction, said first and second primary-side electrodes (32, 34) are disposed extending in the first direction from said first end surface (16) to a position located approximately 1/3 of the distance between said first end surface (16) and said second end surface (17) as measured from said first end surface (16), said third and fourth primary-side electrodes (36, 38) are disposed in separation from said first and second primary-side electrodes (32, 34) and said secondary-side electrode (72), said third and fourth primary-side electrodes (36, 38) extending in the first direction from a position located approximately 1/3 of the distance between said first end surface (16) and said second end surface (17) as measured from said first end surface (16) to a position located approximately 2/3 or less of the distance between said first end surface (16) and said second end surface (17) as measured from said first end surface (16), said third region is polarized in the same thicknesswise direction as in said first region, said fourth primary-side electrode (38) and said first primary-side electrode (32) are electrically connected, and said third primary-side electrode (36) and said second primary-side electrode (34) are electrically connected. A piezoelectric transformer as claimed in Claim 1, wherein said piezoelectric substrate has a first end surface (16, 716) and a second end surface (17, 718) which intersect perpendicularly to the first direction, said first and second primary-side electrodes (52, 54, 742, 744, 746, 748) are disposed extending in the first direction from said first end surface (16, 716) to a position located approximately half the distance between said first end surface (16, 716) and said second end surface (17, 718) as measured from said first end surface (16, 716), said third and fourth primary-side electrodes (52, 54, 752, 754, 756, 758) are disposed in separation from said secondary-side electrode (72, 772), said third region is polarized in a direction opposite to the direction of polarization in said first region, said third primary-side electrode (52, 752, 756) and said first primary-side electrode (52, 742, 746) are electrically connected, and said fourth primary-side electrode (54, 754, 758) and said second primary-side electrode (54, 744, 748) are electrically connected. A piezoelectric transformer as claimed in Claim 1, wherein said piezoelectric substrate has a first end surface (16) and a second end surface (17) which intersect perpendicularly to the first direction, said first and second primary-side electrodes (56, 58, 61, 62, 61', 62', 61'', 62'') are disposed extending in the first direction from said first end surface (16) to a position located approximately 1/3 of the distance between said first end surface (16) and said second end surface (17) as measured from said first end surface (16), said third and fourth primary-side electrodes (56, 58, 61, 62, 61', 62', 61'', 62'') are disposed in separation from said secondary-side electrode (72, 77, 81, 82, 91, 92), said third and fourth primary-side electrodes (56, 58, 61, 62, 61', 62', 61'', 62'') extending in the first direction from a position located approximately 1/3 of the distance between said first end surface (16) and said second end surface (17) as measured from said first end surface (16) to a position located approximately 2/3 or less of the distance between said first end surface (16) and said second end surface (17) as measured from said first end surface (16), said third region is polarized in a direction opposite to the direction of polarization in said first region, said third primary-side electrode (56, 61, 61'') and said first primary-side electrode (56, 61, 61') are electrically connected, and said fourth primary-side electrode (58, 62, 62'') and said second primary-side electrode (58, 62, 62') are electrically connected. A piezoelectric transformer as claimed in Claim 1, wherein said piezoelectric substrate (10) has a first end surface (16) and a second end surface (17) which intersect perpendicularly to the first direction, said first and second primary-side electrodes (61, 62) are disposed extending in the first direction from said first end surface (16) to a position located approximately 1/3 of the length of said piezoelectric substrate in the first [longitudinal] direction as measured from said first end surface (16), said third and fourth primary-side electrodes (61, 62) are disposed on the third region extending in the first direction from a position located approximately 1/3 of the length of said piezoelectric substrate in the first direction as measured from said first end surface (16) to a position located approximately 2/3 of the length of said piezoelectric substrate in the first direction as measured from said first end surface (16), a secondary-side region is provided between said third region and said second end surface (17), said third region is polarized in a thicknesswise direction opposite to the direction of polarization in said first region, said first primary-side electrode (61) and said third primary-side electrode (61) are electrically connected, said second primary-side electrode (62) and said fourth primary-side electrode (62) are electrically connected, said secondary-side region comprises a seventh region, said secondary-side electrode (77) is disposed on at least either of said first and second main faces (12, 14) at a position located approximately 1/6 of the length of said piezoelectric substrate in the first direction as measured from said second end surface (17), a second secondary-side electrode (78) is disposed on at least either of said first and second main faces (12, 14) to be in proximity to said second end surface (17) or on said second end surface (17) of said piezoelectric substrate (10), said seventh region is located between said second end surface (17) and a position located approximately 1/6 of the length of said piezoelectric substrate (10) in the first [longitudinal] direction as measured from said second end surface (17) and is polarized in the first direction, and said second region is located between a position located approximately 1/6 of the length of said piezoelectric substrate (10) in the first direction as measured from said second end surface (17) and a position located approximately 1/3 of the length of said piezoelectric substrate (10) in the first direction as measured from said second end surface (17) and is polarized in the first direction and in a direction opposite to the direction of polarization in said seventh region. A piezoelectric transformer as claimed in Claim 1, wherein said piezoelectric substrate has a first end surface (16) and a second end surface (17) which intersect perpendicularly to the first direction, said first and second primary-side electrodes are disposed extending in the first direction from said first end surface (16) to a position located approximately 1/3 of the length of said piezoelectric substrate (10) in the first direction as measured from said first end surface (16), said third and fourth primary-side electrodes are disposed on the third region extending in the first direction from a position located approximately 1/3 of the length of said piezoelectric substrate (10) in the first direction as measured from said first end surface (16) to a position located approximately 2/3 of the length of said piezoelectric substrate (10) in the first direction as measured from said first end surface (16), a secondary-side region is provided between said third region and said second end surface (17), said third region is polarized in the same thicknesswise direction as in said first region, said first primary-side electrode and said fourth primary-side electrode are electrically connected, said second primary-side electrode and said third primary-side electrode are electrically connected, said secondary-side region comprises a seventh region, said secondary-side electrode (77) is disposed on at least either of said first and second main faces (12, 14) at a position located approximately 1/6 of the length of said piezoelectric substrate (10) in the first direction as measured from said second end surface (17), a second secondary-side electrode (78) is disposed on at least either of said first and second main faces (12, 14) to be in proximity to said second end surface (17) or on said second end surface (17) of said piezoelectric substrate (10), said seventh region is located between said second end surface (17) and a position located approximately 1/6 of the length of said piezoelectric substrate (10) in the first [longitudinal] direction as measured from said second end surface (17) and is polarized in the first direction, and said second region is located between a position located approximately 1/6 of the length of said piezoelectric substrate (10) in the first direction as measured from said second end surface (17) and a position located approximately 1/3 of the length of said piezoelectric substrate (10) in the first direction as measured from said second end surface (17) and is polarized in the first direction and in a direction opposite to the direction of polarization in said seventh region. A piezoelectric transformer as claimed in any one of Claims 1 - 10, wherein at least a third secondary-side electrode (78, 79, 80, 81, 82) is disposed on said second region such that it is opposite to said secondary-side electrode (77, 81, 82, 91, 92) in the first direction of said piezoelectric substrate (10), and an output is to be produced between said secondary-side electrode (77, 81, 82, 91, 92) and said third secondary-side electrode (78, 79, 80, 81, 82). A piezoelectric transformer as claimed in any one of Claims 1 - 10, wherein an output is to be produced between said secondary-side electrode (72, 74, 77, 374, 376, 772) and one of said third and fourth primary-side electrodes (26, 36, 326, 44, 54, 58, 62, 62'', 754, 758) serving as a ground electrode. A piezoelectric transformer as claimed in any one of Claims 1-3, wherein said piezoelectric substrate (10) further includes a first end surface (16) and a second end surface (17) both of which intersect perpendicularly to said first direction, said first primary-side electrode (32, 61, 61') and said second primary-side electrode (34, 62, 62') extending in the first direction from said first end surface (16) to a position located approximately 1/3 of the distance between said first end surface (16) and said second end surface (17) as measured from said first end surface (16), said third primary-side electrode (36, 61, 61'') and said fourth primary-side electrode (38, 62, 62'') extending in the first direction from a position located approximately 1/3 of the distance between said first end surface (16) and said second end surface (17) as measured from said first end surface (16) to a position located approximately 2/3 of the distance between said first end surface (16) and said second end surface (17) as measured from said first end surface (16), said second region of said piezoelectric substrate (10) extending in the first direction from said second end surface (17) to a position located approximately 1/3 of the distance between said first end surface (16) and said second end surface (17) as measured from said second end surface (17), said secondary-side electrode (72, 81, 82) being disposed at least on said second end surface (17) of said second region or on said first main face (12) to be in proximity to said second end surface (17), and at least a portion of said second region between said secondary-side electrode (72, 81, 82) and said third primary-side electrode (36, 61, 61'') being polarized in the first direction. A piezoelectric transformer comprising a piezoelectric substrate (10) having a first main face (12) and a second main face (14) opposed to said first main face (12), said piezoelectric substrate (10) having a first primary-side region, a second primary-side region, and a secondary-side region in a first direction in which said first main face (12) extends, said first primary-side region, said second primary-side region and said secondary-side region being different from each other, said first primary-side region of said piezoelectric substrate (10) accounting for substantially 1/n (n is an integer equal to or greater than 2) of the length of said piezoelectric substrate (10) in the first direction, a first primary-side electrode (32, 52, 61) and a second primary-side electrode (34, 54, 62) being disposed on said first and second main faces (12, 14), respectively, of said first primary-side region and opposite to each other, the region between said first primary-side electrode (32, 52, 61) and said second primary-side electrode (34, 54, 62) being polarized in the thicknesswise direction of said piezoelectric substrate (10), said second primary-side region having a length equal to or less than said 1/n of the length of said piezoelectric substrate (10) in the first direction, a third primary-side electrode (36, 52, 61) and a fourth primary-side electrode (38, 54, 62) being disposed on said first and second main faces (12, 14), respectively, of said second primary-side region and opposite to each other, said second primary-side region between said third primary-side electrode (36, 52, 61) and said fourth primary-side electrode (38, 54, 62) being polarized in a predetermined direction along the thicknesswise direction, said third primary-side electrode (36, 52, 61) and said fourth primary-side electrode (38, 54, 62) being electrically connected to said first primary-side electrode (32, 52, 61) and said second primary-side electrode (34, 54, 62) in a predetermined connecting state, a first secondary-side electrode (63, 93, 95, 98) and a second secondary-side electrode (64, 94, 96, 97, 99) being provided in said secondary-side region such that said first and second secondary-side electrodes (93, 94, 95, 96, 97, 98, 99) being opposite to each other in a second direction in which said first main face extends, said second direction being perpendicular to said first direction, and at least a portion in said secondary-side region between said first secondary-side electrode (93, 95, 98) and said second secondary-side electrode (94, 96, 97, 99) being polarized in the second direction. A piezoelectric transformer as claimed in Claim 14, wherein a third secondary-side electrode (63) is provided between said first and second secondary-side electrodes (64, 65, 66, 67) in said secondary-side region so that said third secondary-side electrode is opposite to said first and second secondary-side electrodes (64, 65, 66, 67) in the second direction, a portion of said secondary-side region between said first secondary-side electrode (64, 66) and said third secondary-side electrode (63) is polarized, and a portion of said secondary-side region between said second secondary-side electrode (65, 67) and said third secondary-side electrode (63) is polarized in a direction opposite to the direction of polarization at the portion between said first secondary-side electrode (64, 66) and said third secondary-side electrode (63), and a secondary-side electrical power is to be produced. between said first and second secondary-side electrodes (64, 65, 66, 67) and said third secondary-side electrode (63). A piezoelectric transformer as claimed in any one of Claims 1 - 13, further comprising a lead terminal (1430, 1440, 1450) which is electrically and mechanically connected to said secondary-side electrode (72, 74, 76, 772), or one of said secondary-side electrode (77) and said second secondary-side electrode (78), or one of said secondary-side electrode (77, 81, 82, 91, 92) and said third secondary-side electrode (78, 79, 80, 81, 82) so as to support said piezoelectric substrate (10, 700), wherein said lead terminal is provided with a resilient structure portion (1436, 1442, 1443, 1456) which bends in the first direction so as to vibrate in accordance with vibration of said piezoelectric substrate (10, 700) in the first direction. A piezoelectric transformer as claimed in Claim 14 or 15, further comprising a lead terminal (1110, 1210, 1140, 1240, 1150, 1250, 1160, 1260) which is electrically and mechanically connected to at least one of said first through third secondary-side electrodes (93, 94, 95, 96, 97, 98, 99, 63, 64, 65, 66, 67) so as to support said piezoelectric substrate, wherein said lead terminal is provided with a resilient structure portion (1120, 1220, 1142, 1143, 1242, 1243, 1152, 1153, 1252, 1253, 1169, 1269) which bends in the second direction so as to vibrate in accordance with vibration of said piezoelectric substrate in the second direction. An inverter which includes the piezoelectric transformer as claimed in any one of Claims 1-17. A liquid crystal display which includes the piezoelectric transformer as claimed in any one of Claims 1-17.

Inventors: KANAYAMA KOUICHI, MARUKO NOBUHIRO, KANAYAMA, KOUICHI, MARUKO, NOBUHIRO, Kanayama, Kouichi, c/o Mitsui Petrochem. Ind., Ltd, Maruko, Nobuhiro, c/o Mitsui Petrochem. Ind., Ltd
Applicants: MITSUI CHEMICALS INC, MITSUI CHEMICALS, INC.
Application year: 1995
Main classification: H01L41
IPC codes: H01L41