Abstract:
There is provided a high voltage power supply capable of reducing voltage stress of a voltage multiplying device. The high voltage power supply includes: a power converter switching on/off and converting an input direct current power into a direct current power having a preset voltage level; and a voltage multiplier including a first multiplying cell multiplying the voltage level of the direct current power from the power converter, wherein the first multiplying cell includes: first and second capacitors charging the direct current power from the power converter, respectively; a first diode providing a path for transferring the direct current power when the power converter is switched off; and a second diode providing a path for transferring the direct current power when the power converter is switched on.

Description:
CROSS-REFERENCE TO RELATED APPLICATIONS 
       [0001]    This application claims the priority of Korean Patent Application No. 2008-32640 filed on Apr. 8, 2008, and Korean Patent Application No. 2008-37297 filed on Apr. 22, 2008, in the Korean Intellectual Property Office, the disclosure of which is incorporated herein by reference. 
       BACKGROUND OF THE INVENTION 
       [0002]    1. Field of the Invention 
         [0003]    The present invention relates to a high voltage power supply, and more particularly, to a high voltage power supply capable of reducing voltage stress of a voltage multiplying device and supplying a voltage applied to an inductor as a bias voltage of a switching device according to a turn ratio without employing a power converting transformer. 
         [0004]    2. Description of the Related Art 
         [0005]    Recently, a high voltage power supply has found very broad applications in overall industrial fields and is being necessarily utilized in an increasing number of areas. This high voltage power supply is applied in various fields covering industrial purposes such as new material developments and plasma applications, civil purposes, medical appliances, 
         [0006]    A printer is easily accessible equipment at home or in the office and employs a high voltage power supply with stable multiple functions, which are most essential in forming an image. Also, there is an increasing demand for such a high voltage power supply. 
         [0007]      FIG. 1  is a configuration view illustrating a conventional high voltage power supply. 
         [0008]    Referring to  FIG. 1 , the conventional high voltage power supply  10  includes a power converter  11  converting a voltage level of an input direct current (DC) power according to a preset turn ratio, and a multiplier  12  multiplying a DC voltage level converted from the power converter  11 . 
         [0009]    In the conventional high voltage power supply  10 , the current converter  11  employs a power converting high voltage transformer  11   a  having primary and secondary windings Np, Ns and an accessory winding Nb wound around a magnetic device to multiply a high voltage DC power. Also, multiplying cells  12   a ,  12   b , and  12   c  including diodes D 1 , D 2 , and D 3  and capacitors C 1 , C 2 , and C 3 , respectively receive the high voltage DC power to multiply at a preset ratio. 
         [0010]    In the conventional high voltage power supply  10 , the voltage level of the high voltage DC power from the power converter  11  is applied to the diodes D 1 , D 2 , and D 3  of the multiplying cells  12   a ,  12   b , and  12   c  and the capacitors C 1 , C 2 , and C 3 , respectively. 
         [0011]    Accordingly, the conventional high voltage power supply  10  needs to employ high voltage devices with high withstanding voltages in the respective multiplying cells  12   a ,  12   b , and  12   c , thereby increasing manufacturing costs. As described above, since the power converter  11  utilizes a current converting high voltage transformer  11   a  to enable the primary and secondary windings Np and Ns and the accessory winding Nb to be wound around a magnetic device, the number of turns of the primary, secondary, and accessory windings Np, Ns, and Nb and the winding method are complicated when the high voltage DC power is outputted, which accordingly leads to an increase in the bulk and size of the magnetic device. 
       SUMMARY OF THE INVENTION 
       [0012]    An aspect of the present invention provides a high voltage power supply capable of reducing voltage stress of a voltage multiplying device and supplying a voltage applied to an inductor as a bias voltage of a switching device according to a turn ratio without employing a power converting transformer. 
         [0013]    An aspect of the present invention also provides a high voltage power supply including: a power converter switching on/off and converting an input direct current power into a direct current power having a preset voltage level; and a voltage multiplier including a first multiplying cell multiplying the voltage level of the direct current power from the power converter, wherein the first multiplying cell includes: first and second capacitors charging the direct current power from the power converter, respectively; a first diode providing a path for transferring the direct current power when the power converter is switched off; and a second diode providing a path for transferring the direct current power when the power converter is switched on. 
         [0014]    The first diode of the first multiplying cell may include a cathode electrically connected to the power converter and an anode electrically connected to the second diode. 
         [0015]    The second diode may include a cathode electrically connected to the first diode and an anode electrically connected to the second capacitor, the first capacitor has one end electrically connected to a junction between the first and second diodes and another end electrically connected to an input direct current power terminal, and the second capacitor has one end electrically connected to the cathode of the first diode and another end electrically connected to the anode of the second diode. 
         [0016]    The high voltage power supply may further include an output stabilizer stabilizing an output direct current power from the voltage multiplier. 
         [0017]    The voltage multiplier may further include at least another multiplying cell electrically connected in series between the first multiplying cell and the output stabilizer, wherein the at least another multiplying cell includes: a pair of charging capacitors charging the direct current power of the power converter, respectively; a switching off path diode providing a path for transferring the direct current power when the power converter is switched off; and a switching on path diode providing a path for transferring the direct current power when the power converter is switched on. 
         [0018]    The output stabilizer may include: an output diode providing a path for transferring the output direct current power from the voltage multiplier; and an output capacitor charging the output direct current power from the voltage multiplier. 
         [0019]    The output direct current power may include the input direct current power having a polarity inversed. 
         [0020]    The power converter may convert the input direct current power into a switching bias power according to a preset turn ratio, and switch on the input direct current power in response to the switching bias power and convert the voltage level of the direct current power. 
         [0021]    The power converter may include: a switch switching on the input direct current power; a first inductor having a preset number of turns and charging energy of the input direct current power; and a second inductor having a preset number of turns and supplying the switching bias power to the switch according to the turn ratio with respect to the first inductor. 
         [0022]    The high voltage power supply may further include a protective circuit blocking an overvoltage higher than a preset voltage level from being applied between an emitter and a base of the switch. 
         [0023]    The power converter may further include a current source supplying the switching bias power to the switch during initial driving. 
         [0024]    The high voltage power supply may further include a stabilizer stabilizing an output power from the voltage multiplier, wherein the stabilizer provides a path for transferring the output power; and a capacitor charging the output power. 
         [0025]    The power converter may operate in a current continuous conduction mode. 
         [0026]    The power converter may operate in a current discontinuous conduction mode. 
     
    
     
       BRIEF DESCRIPTION OF THE DRAWINGS 
         [0027]    The above and other aspects, features and other advantages of the present invention will be more clearly understood from the following detailed description taken in conjunction with the accompanying drawings, in which: 
           [0028]      FIG. 1  is a configuration view illustrating a conventional high voltage power supply; conventional high voltage power supply; 
           [0029]      FIG. 2  is a configuration view illustrating a high voltage power supply according to an exemplary embodiment of the invention; 
           [0030]      FIG. 3A to 3F  illustrates operation of a power converter employed in a high voltage power supply according to an exemplary embodiment of the invention; 
           [0031]      FIG. 4  is a waveform diagram of major signals of a power converter employed in a high voltage power supply according to an exemplary embodiment of the invention; 
           [0032]      FIGS. 5A  and B sequentially illustrate voltage multiplication of a high voltage power supply operating in a current continuous mode; 
           [0033]      FIG. 6  is an operational waveform diagram of the high voltage power supply shown in  FIG. 5 ; 
           [0034]      FIGS. 7A to 7C  sequentially illustrate voltage multiplication of a high voltage power supply operating in a current discontinuous mode; 
           [0035]      FIG. 8  is an operational waveform diagram of the high voltage power supply shown in  FIG. 7 ; and 
           [0036]      FIG. 9  is a simulation waveform diagram of a high voltage power supply according to an exemplary embodiment of the invention. 
       
    
    
     DETAILED DESCRIPTION OF THE PREFERRED EMBODIMENT 
       [0037]    be described in detail with reference to the accompanying drawings. 
         [0038]      FIG. 2  is a configuration view illustrating a high voltage power supplier according to an exemplary embodiment of the invention. 
         [0039]    Referring to  FIG. 2 , the high voltage power supply  100  includes a power converter  110 , a voltage multiplier  120  and an output stabilizer  130 . 
         [0040]    The power converter  110  switches on/off and converts an input direct current (DC) power Vin into a DC power having a preset voltage level. This power converter  110  may adopt various configurations such as a current source or a power converting transformer. In the present embodiment, the power converter  110  includes a switch Q connected to an input DC power Vin terminal, a first inductor L 1  receiving a power switched from the switch Q, and a second inductor L 2  receiving energy from the first inductor L 1  and supplying a switching bias power to the switch Q. 
         [0041]    The switch Q can be configured as a PNP transistor including an emitter receiving the input DC power Vin, a base receiving the switching bias power and a collector outputting the switched on/off DC power. 
         [0042]    The first inductor L 1  has a preset number of turns, and charges and discharges the DC power switched on/off by the switch Q. 
         [0043]    The second inductor L 2  has a preset number of turns, and supplies the DC power from the first inductor to the base of the switch Q as the switching bias voltage according to a turn ratio with respect to the first inductor L 1 . 
         [0044]    Moreover, the power converter  110  may further include a current source Vx supplying a switching bias power when initially operated. 
         [0045]      FIG. 3  illustrates operation of a power converter employed in a high voltage power supply according to an exemplary embodiment of the invention.  FIG. 4  is a waveform diagram of major signals of a power converter employed in a high voltage power supply according to an exemplary embodiment of the invention. 
         [0046]    Referring to  FIG. 3 , the operation of the power converter employed in the high voltage power of the present invention will be described except for the voltage multiplier  120 . 
         [0047]    Referring to  FIGS. 3 and 4 , as shown in  FIG. 3A , when the switch Q is switched on, a current path occurs as indicated with a dotted arrow, and thus the input DC voltage Vin is applied as a both-end voltage V L1  of the first inductor L 1 . A voltage Ns/Np*Vin is combined with a voltage of the current source Vx in the second inductor L 2  according to a turn ratio with respect to the first inductor L 1  and then is supplied as a voltage V EC  between the emitter and base of the switch Q to turn on the switch Q continuously. This allows a base Ib current to flow. At this time, a collector current Ic of the switch Q, i.e., current flowing to the first inductor L 1  is increased with an inclination of Vin/L 1  (see an internal T 0  to T 1  of  FIG. 4 ). 
         [0048]    Next, with the collector current Ic of the switch Q gradually increasing, the switch Q in stable operation enters a saturation region (see an interval T 1  and T 2  of  FIG. 3B  and  FIG. 4 ). This increases a voltage V EC  between the emitter and collector of the switch Q. With an increase in the voltage V EC  between the emitter and collector of the switch Q, the voltage V L1  applied to both ends of the first inductor L 1  is decreased commensurately since the switch Q is on the same current path as the first inductor as illustrated. With a decrease in the voltage V L1  applied to the both ends of the first inductor L 1 , a voltage Vb between the emitter and base of the switch Q is decreased and the base current Ib is decreased, thus allowing the switch Q to be switched off. When the voltage V L1  applied to the both ends of the first inductor L 1  is 0V, the first inductor L 1  and the capacitor Cr resonate (see an interval T 2  to T 3  of  FIG. 3C  and  FIG. 4 ). 
         [0049]    Subsequently, the voltage V L1  applied to the both ends of the first inductor L 1  drops to −Vo, an output diode Do of the stabilizer  130  is in an ON state and thus energy stored in the first inductor L 1  is released to an output side (see an interval T 3  to T 4  of  FIG. 3D  and  FIG. 4 ). 
         [0050]    Thereafter, with the energy of the first inductor L 1  released completely, that is, the first inductor current I L1  becomes 0, the capacitor Cr and the first inductor L 1  resonate again, thus decreasing the voltage V EC  between the emitter and collector of the switch Q. Accordingly, this increases the both-end voltage V L1  of the first inductor L 1  (see an interval T 4  and T 5  of  FIG. 3E  and  FIG. 4 ). 
         [0051]    Finally, when the both-end voltage V L1  of the first inductor L 1  rises to 0V or higher, the switching bias power is supplied to the switch Q through the second inductor L 2  according to a turn ratio with respect to the first inductor L 1 . This allows the switch Q to be switched on (see an interval T 5  and T 6  of  FIG. 3F  and  FIG. 4 ). 
         [0052]    As described above, the power converter  110  employed in the high voltage power supply of the present embodiment receives the both-end voltage of the first inductor L 1  according to a turn ratio to be applied between the emitter and base of the switch Q, thereby self-oscillating. The high voltage power supply of the present embodiment employs the inductors, in place of a high voltage transformer for generating a high voltage DC power as in the conventional high voltage power supply. Accordingly, this reduces the size and price of the magnetic device and precludes a need for complicated windings for generating a high voltage, thereby ensuring more reliable products. 
         [0053]    Referring back to  FIG. 2 , the voltage multiplier  120  employed in the high voltage power supply  100  of the present embodiment may include at least one multiplying cell. The voltage multiplier  120  may include a plurality of multiplying cells according to a desired multiplying ratio. 
         [0054]    The multiplying cells  121  to  12 N of the voltage multiplier  120  each include respective two capacitors C 1  to C 2 N and respective two diodes D 1  to D 2 N. 
         [0055]    For example, in the case of a first multiplying cell  121 , a first diode D 1  includes a cathode electrically connected to the first inductor L 1  and an anode electrically connected to a second diode D 2 . A second diode D 2  includes a cathode electrically connected to the anode of the first diode D 1  and an anode electrically connected to the second capacitor C 2 . A first capacitor C 1  has one end electrically connected to a junction between the first and second diodes D 1  and D 2  and another end electrically connected to the input DC power Vin terminal. A second capacitor C 2  has one end electrically connected to the cathode of the first diode D 1  and another end electrically connected to the anode of the second diode D 2 . 
         [0056]    In a case where the voltage multiplier  120  includes a plurality of multiplying cells, the second and Nth multiplying cells  122  to  12 N may be connected in series between the first multiplying cell  121  and the output stabilizer  130 . 
         [0057]    The second and Nth multiplying cells  122  and  12 N include  2 N- 1  and  2 N capacitors C 3  and C 2 N, respectively and  2 N- 1  and  2 N diodes D 3  and D 2 N, respectively, where N is a natural number of at least two. In the second multiplying cell  122 , a third diode D 3  includes a cathode electrically connected to the anode of the second diode D 2  of the first multiplying cell  121  and an anode electrically connected to a fourth diode D 4 . The fourth diode D 4  includes a cathode electrically connected to the anode of the third diode D 3  and an anode electrically connected to a fourth capacitor C 4  and the following multiplying cell. A third capacitor C 3  has one end electrically connected to a junction between the third and fourth diodes D 3  and D 4  and another end electrically connected to the input DC power Vin terminal. A fourth capacitor C 4  has one end electrically connected to the cathode of the third diode D 3  and another end electrically connected to the anode of the fourth diode D 4 . In the same manner as described above, a third multiplying cell (not shown) to an Nth multiplying cell  12 N may be connected in series between the second multiplying cell and the output stabilizer  130 . Also, as described above, the third multiplying cell to the Nth multiplying cell  12 N may include  2 N- 1  and  2  M diodes, respectively and  2 N- 1  and  2 N capacitors, respectively, where N is a natural number of at least 3. 
         [0058]    The multiplying cells  121  to  12 N can multiply the converted DC power from the power converter  110  according to a preset amplifying ratio. For example, in a case where the voltage multiplier  120  includes the first multiplying cell  121 , the converted DC power can have a voltage level multiplied two times. In a case where the voltage multiplier  120  includes the first and second multiplying cells  121  and  122 , the converted DC power can have a voltage level multiplied three times. In this fashion, when the voltage multiplier  120  includes first to Nth multiplying cell  121  to  12 N, the converted DC power can have a voltage level multiplied by N+1 times, where N is a natural number of at least two. 
         [0059]    The output stabilizer  130  includes an output capacitor Co and an output diode Do. The output diode Do provides a cycle path of an output DC power Vo from the voltage multiplier  120 . The output capacitor Do charges the output DC power Vo to supply to a load RL. Here, the output DC power Vo has a polarity that is an inversed polarity of the input DC power Vin. 
         [0060]    The high voltage power supply  100  of the present embodiment may further include a protective circuit  140  protecting a switch Q of the power converter  110  from an overvoltage. 
         [0061]    The protective circuit  140  protects the switch Q from being damaged in a case where the switching bias voltage supplied from the current source Vx during initial operation or the switching bias voltage from the second inductor L 2  has a voltage level higher than a preset voltage level. To this end, a zenor diode Dz may be electrically connected between the emitter and base of the switch Q. 
         [0062]    The power converter  110  can be operated in a current continuous mode or current discontinuous mode. Hereinafter, the high voltage power supply  100  of the present embodiment will be described in detail according to the operation mode of the power converter  110 . 
         [0063]      FIGS. 5A  and B sequentially illustrate voltage multiplication of a high voltage power supply operating in a current continuous mode.  FIG. 6  is an operational waveform diagram illustrating the high voltage power supply shown in  FIG. 5 . 
         [0064]    Referring to  FIGS. 5 and 6 , the power converter  110  employed in the high voltage power supply  100  of the present embodiment can operate in a current continuous conduction mode (CCM). Moreover, for the convenient description of the operation, the voltage multiplier  120  is assumed to include the first multiplying cell  121  and the power converter  110  has only portions of elements illustrated to describe voltage multiplication of the voltage multiplier  120 . 
         [0065]    When the switch Q is turned off at t=T 0 , the first diode D 1  and the output diode Do are in an ON state and energy stored in the first inductor L 1  is discharged through a path defined by the first inductor L 1 —the input DC power terminal Vin—the first capacitor C 1 —the first diode D 1 , and through a path defined by the first inductor L 1 —the output capacitor C 0 —the output diode D 0 —the second diode D 2 . Therefore, a current i L (t) flowing in the first inductor L 1  is expressed as following Equation 1; 
         [0000]    
       
         
           
             
               
                 
                   
                     
                       
                         
                           
                             i 
                             L 
                           
                            
                           
                             ( 
                             t 
                             ) 
                           
                         
                         = 
                         
                           
                             
                               i 
                               L 
                             
                              
                             
                               ( 
                               
                                 T 
                                 0 
                               
                               ) 
                             
                           
                           + 
                           
                             
                               
                                 
                                   V 
                                   
                                     i 
                                      
                                     
                                         
                                     
                                      
                                     n 
                                   
                                 
                                 - 
                                 
                                   V 
                                   x 
                                 
                               
                               L 
                             
                              
                             
                               ( 
                               
                                 t 
                                 - 
                                 
                                   T 
                                   0 
                                 
                               
                               ) 
                             
                           
                         
                       
                     
                   
                   
                     
                       
                         
                           = 
                           
                             
                               
                                 i 
                                 L 
                               
                                
                               
                                 ( 
                                 
                                   T 
                                   0 
                                 
                                 ) 
                               
                             
                             + 
                             
                               
                                 
                                   
                                     V 
                                     x 
                                   
                                   - 
                                   
                                     V 
                                     0 
                                   
                                 
                                 L 
                               
                                
                               
                                 ( 
                               
                                
                               t 
                             
                             - 
                             
                               T 
                               0 
                             
                           
                         
                         , 
                       
                     
                   
                 
               
               
                 
                   Equation 
                    
                   
                       
                   
                    
                   1 
                 
               
             
           
         
       
     
         [0066]    Accordingly, a current i L (T 1 ) at t=T 1  is expressed as following Equation 2; 
         [0000]    
       
         
           
             
               
                 
                   
                     
                       
                         
                           
                             i 
                             L 
                           
                            
                           
                             ( 
                             
                               T 
                               1 
                             
                             ) 
                           
                         
                         = 
                         
                           
                             
                               i 
                               L 
                             
                              
                             
                               ( 
                               
                                 T 
                                 0 
                               
                               ) 
                             
                           
                           + 
                           
                             
                               
                                 
                                   V 
                                   
                                     i 
                                      
                                     
                                         
                                     
                                      
                                     n 
                                   
                                 
                                 - 
                                 
                                   V 
                                   x 
                                 
                               
                               L 
                             
                              
                             
                               ( 
                               
                                 1 
                                 - 
                                 D 
                               
                               ) 
                             
                              
                             
                               T 
                               s 
                             
                           
                         
                       
                     
                   
                   
                     
                       
                         
                           = 
                           
                             
                               
                                 i 
                                 L 
                               
                                
                               
                                 ( 
                                 
                                   T 
                                   0 
                                 
                                 ) 
                               
                             
                             + 
                             
                               
                                 
                                   
                                     V 
                                     x 
                                   
                                   - 
                                   
                                     V 
                                     0 
                                   
                                 
                                 L 
                               
                                
                               
                                 ( 
                               
                                
                               1 
                             
                             - 
                           
                         
                         , 
                       
                     
                   
                 
               
               
                 
                   Equation 
                    
                   
                       
                   
                    
                   2 
                 
               
             
           
         
       
     
         [0067]    where D is a duty ratio of on/off of the switch Q and Ts is a switching frequency. 
         [0068]    In the operation interval described above, Vx is applied as an inverse voltage of the second diode D 2  and a drain-to-source voltage Vds of the switch Q, respectively. 
         [0069]    Next, when the switch Q in an ON state at t=T 1 , the first diode D 1  and the output diode Do are in an OFF state and the second diode D 2  is in an ON state. Energy is stored in the first inductor L 1  through a path defined by the input DC power terminal Vin—the switch Q—the first inductor L 1 . Therefore, the current i L (t) flowing through the first inductor L 1  is expressed as following Equation 3; 
         [0000]    
       
         
           
             
               
                 
                   
                     
                       
                         i 
                         L 
                       
                        
                       
                         ( 
                         t 
                         ) 
                       
                     
                     = 
                     
                       
                         
                           i 
                           L 
                         
                          
                         
                           ( 
                           
                             T 
                             1 
                           
                           ) 
                         
                       
                       + 
                       
                         
                           
                             V 
                             
                               i 
                                
                               
                                   
                               
                                
                               n 
                             
                           
                           L 
                         
                          
                         
                           ( 
                           
                             t 
                             - 
                             
                               T 
                               1 
                             
                           
                           ) 
                         
                       
                     
                   
                   , 
                 
               
               
                 
                   Equation 
                    
                   
                       
                   
                    
                   3 
                 
               
             
           
         
       
     
         [0070]    Accordingly, a current i L (T 2 ) at t=T 2  is expressed as following Equation 4, 
         [0000]    
       
         
           
             
               
                 
                   
                     
                       
                         
                           
                             i 
                             L 
                           
                            
                           
                             ( 
                             
                               T 
                               2 
                             
                             ) 
                           
                         
                         = 
                         
                           
                             
                               i 
                               L 
                             
                              
                             
                               ( 
                               
                                 T 
                                 1 
                               
                               ) 
                             
                           
                           + 
                           
                             
                               
                                 V 
                                 
                                   i 
                                    
                                   
                                       
                                   
                                    
                                   n 
                                 
                               
                               L 
                             
                              
                             
                               DT 
                               s 
                             
                           
                         
                       
                     
                   
                   
                     
                       
                         
                           = 
                           
                             
                               i 
                               L 
                             
                              
                             
                               ( 
                               
                                 T 
                                 0 
                               
                               ) 
                             
                           
                         
                         , 
                       
                     
                   
                 
               
               
                 
                   Equation 
                    
                   
                       
                   
                    
                   4 
                 
               
             
           
         
       
     
         [0071]    In the operation interval described above, when the second diode D 2  is in an ON state, a path defined by the capacitor C 1 —the switch Q—the second capacitor C 2 —the second diode D 2  is formed, and both-end voltages of the first and second capacitors C 1  and C 2  are Vx, respectively. Vx is applied as the inverse voltage of the first diode D 1  and Vin+Vo−Vx is applied as the inverse voltage of the output diode Do. When the switch Q is in an OFF state at t=T 2 , the operation mode in this interval ends and operations in the interval T 0  to T 2  are repeated periodically. 
         [0072]    When the Equations 2 and 4 are combined, the voltage Vx applied to both ends of the first and second capacitors C 1  and C 2  is calculated according to following Equation 5 and an input/output voltage conversion ratio Vo/Vin is calculated according to following Equation 6, 
         [0000]    
       
         
           
             
               
                 
                   
                     
                       V 
                       x 
                     
                     = 
                     
                       
                         V 
                         
                           i 
                            
                           
                               
                           
                            
                           n 
                         
                       
                       
                         1 
                         - 
                         D 
                       
                     
                   
                   , 
                 
               
               
                 
                   Equation 
                    
                   
                       
                   
                    
                   5 
                 
               
             
             
               
                 
                   
                     
                       
                         V 
                         o 
                       
                       
                         V 
                         
                           i 
                            
                           
                               
                           
                            
                           n 
                         
                       
                     
                     = 
                     
                       
                         1 
                         + 
                         D 
                       
                       
                         1 
                         - 
                         D 
                       
                     
                   
                   , 
                 
               
               
                 
                   Equation 
                    
                   
                       
                   
                    
                   6 
                 
               
             
           
         
       
     
         [0073]    Here, the duty ratio D ranges from 0 to 1, and thus Vin&lt;Vx&lt;Vo is satisfied. Accordingly, the input/output voltage conversion ratio is expressed as following Equation 7; 
         [0000]    
       
         
           
             
               
                 
                   
                     
                       V 
                       o 
                     
                     
                       V 
                       
                         i 
                          
                         
                             
                         
                          
                         n 
                       
                     
                   
                    
                   
                     
                        
                       CCM 
                     
                      
                     
                       
                         = 
                         
                           
                             
                               N 
                               - 
                               1 
                             
                             
                               1 
                               - 
                               D 
                             
                           
                           + 
                           
                             D 
                             
                               1 
                               - 
                               D 
                             
                           
                         
                       
                       , 
                     
                   
                 
               
               
                 
                   Equation 
                    
                   
                       
                   
                    
                   7 
                 
               
             
           
         
       
     
         [0074]    where D is a duty ratio of on/off of the switch Q and N is a multiplying integer of the voltage multiplier  120 . That is, when the voltage multiplier  120  includes the first multiplying cell  121 , N becomes 2, and when the voltage multiplier  120  includes the first and second multiplying cells  121  and  122 , N becomes 3. 
         [0075]      FIGS. 7A to 7C  sequentially illustrate voltage multiplication of a high voltage power supply operating in a current discontinuous mode.  FIG. 8  is an operational waveform diagram of the high voltage power supply shown in  FIG. 7 . 
         [0076]    Referring to  FIGS. 7 and 8 , the power converter  110  employed in the high voltage power supply  100  of the present embodiment can operate in a current discontinuous conduction mode (DCM). 
         [0077]    When the switch Q is in an ON state at t=T 0 , the first diode D 1  and the output diode Do are in an OFF state and the second diode D 2  is in an ON state. Energy is stored in the first inductor L 1  through a path defined by the input DC power terminal Vin—the switch Q—the first inductor L 1 . Therefore, the current i L (t) flowing through the first inductor L 1  is expressed as following Equation 8, 
         [0000]    
       
         
           
             
               
                 
                   
                     
                       
                         i 
                         L 
                       
                        
                       
                         ( 
                         t 
                         ) 
                       
                     
                     = 
                     
                       
                         
                           V 
                           
                             i 
                              
                             
                                 
                             
                              
                             n 
                           
                         
                         L 
                       
                        
                       
                         ( 
                         
                           t 
                           - 
                           
                             T 
                             0 
                           
                         
                         ) 
                       
                     
                   
                   , 
                 
               
               
                 
                   Equation 
                    
                   
                       
                   
                    
                   8 
                 
               
             
           
         
       
     
         [0078]    Accordingly, the current i L (T 1 ) at t=T 1  is expressed as following Equation 9, 
         [0000]    
       
         
           
             
               
                 
                   
                     
                       
                         i 
                         L 
                       
                        
                       
                         ( 
                         
                           T 
                           1 
                         
                         ) 
                       
                     
                     = 
                     
                       
                         
                           V 
                           
                             i 
                              
                             
                                 
                             
                              
                             n 
                           
                         
                         L 
                       
                        
                       
                         DT 
                         s 
                       
                     
                   
                   , 
                 
               
               
                 
                   Equation 
                    
                   
                       
                   
                    
                   9 
                 
               
             
           
         
       
     
         [0079]    In the operation interval described above, when the second diode D 2  is an ON state, a path defined by the first capacitor C 1 —the switch Q—the second capacitor C 2 —the second diode D 2  is formed, and both-end voltages of the first and second capacitors C 1  and C 2  are Vx, respectively. Thus, Vx is applied as the inverse voltage of the first diode D 1  and Vi+Vo−Vx is applied as the inverse voltage Vdo of the output diode. 
         [0080]    When the switch is in an OFF state at t=T 1 , the first diode D 1  and the output diode Do are in an ON state, and energy stored in the first inductor L 1  is discharged through a path defined by the first inductor L 1 —the input DC power terminal Vin—the first capacitor C 1 —the first diode D 1 , and through a path defined by the first inductor L 1 —the output capacitor Co—the output diode Do—the second capacitor C 2 . Therefore, the current i L (T) flowing through the first inductor L 1  is expressed as following Equation 10. 
         [0000]    
       
         
           
             
               
                 
                   
                     
                       
                         
                           
                             i 
                             L 
                           
                            
                           
                             ( 
                             t 
                             ) 
                           
                         
                         = 
                           
                          
                         
                           
                             
                               i 
                               L 
                             
                              
                             
                               ( 
                               
                                 T 
                                 1 
                               
                               ) 
                             
                           
                           + 
                           
                             
                               
                                 
                                   V 
                                   
                                     i 
                                      
                                     
                                         
                                     
                                      
                                     n 
                                   
                                 
                                 - 
                                 
                                   V 
                                   x 
                                 
                               
                               L 
                             
                              
                             
                               ( 
                               
                                 t 
                                 - 
                                 
                                   T 
                                   1 
                                 
                               
                               ) 
                             
                           
                         
                       
                     
                   
                   
                     
                       
                         = 
                           
                          
                         
                           
                             
                               i 
                               L 
                             
                              
                             
                               ( 
                               
                                 T 
                                 1 
                               
                               ) 
                             
                           
                           + 
                           
                             
                               
                                 
                                   V 
                                   x 
                                 
                                 - 
                                 
                                   V 
                                   o 
                                 
                               
                               L 
                             
                              
                             
                               ( 
                               
                                 t 
                                 - 
                                 
                                   T 
                                   1 
                                 
                               
                               ) 
                             
                           
                         
                       
                     
                   
                 
               
               
                 
                   Equation 
                    
                   
                       
                   
                    
                   10 
                 
               
             
           
         
       
     
         [0081]    During the operation interval described above, Vx is applied as the inverse voltage of the second diode D 2  and the drain-source voltage Vds of the switch Q, respectively. Accordingly, at t=T 2 , the current i L (T 2 ) of the first inductor becomes zero and following Equation 11 is satisfied according to the Equations 9 and 10. 
         [0000]        DI′   1   =D   2 ( I′   N   −I′   in )= D   2 ( I′   O   −I′   N )   Equation 11, 
         [0082]    where D 2  is defined as (T 2 −T 1 )/Ts. 
         [0083]    At t=T 2 , all of the diodes are in an OFF state, and a both-end voltage of an inductive device L and the current flowing through the first inductor L 1  become zero (0). During the operation interval described above, voltages of Vds (Q), VDo, VD 1 , and VD 2  are Vi, Vo−Vx, Vx−Vi, and Vin, respectively. At t=T 3 , with the switch Q in an ON state, the operation mode in the interval T 0  to T 3  is repeated periodically. 
         [0084]    A both-end voltage Vx of the first and second capacitors C 1  and C 2  and an input/output voltage conversion ratio Vo/Vin during the discontinuous conduction mode satisfy following Equations 12 and 13, respectively according to Equation 11. 
         [0000]    
       
         
           
             
               
                 
                   
                     
                       V 
                       x 
                     
                     = 
                     
                       
                         
                           D 
                           + 
                           
                             D 
                             2 
                           
                         
                         
                           D 
                           2 
                         
                       
                        
                       
                         V 
                         
                           i 
                            
                           
                               
                           
                            
                           n 
                         
                       
                     
                   
                   , 
                 
               
               
                 
                   Equation 
                    
                   
                       
                   
                    
                   12 
                 
               
             
             
               
                 
                   
                     
                       V 
                       o 
                     
                     = 
                     
                       
                         
                           
                             2 
                              
                             D 
                           
                           + 
                           
                             D 
                             2 
                           
                         
                         
                           D 
                           2 
                         
                       
                        
                       
                         V 
                         
                           i 
                            
                           
                               
                           
                            
                           n 
                         
                       
                     
                   
                   , 
                 
               
               
                 
                   Equation 
                    
                   
                       
                   
                    
                   13 
                 
               
             
           
         
       
     
         [0085]    Referring to graphs of  FIGS. 7 and 8 , an output load current (Io) is a mean value of the current of the output diode (Do), and thus satisfies following Equation 14, 
         [0000]    
       
         
           
             
               
                 
                   
                     
                       I 
                       o 
                     
                     = 
                     
                       
                         
                           V 
                           o 
                         
                         
                           R 
                           L 
                         
                       
                       = 
                       
                         
                           
                             D 
                             2 
                           
                            
                           
                             
                               i 
                               L 
                             
                              
                             
                               ( 
                               
                                 T 
                                 1 
                               
                               ) 
                             
                           
                         
                         4 
                       
                     
                   
                   , 
                 
               
               
                 
                   Equation 
                    
                   
                       
                   
                    
                   14 
                 
               
             
           
         
       
     
         [0086]    When the Equation 9 is applied to Equation 14, D 2  can be obtained according to following Equation 15, 
         [0000]    
       
         
           
             
               
                 
                   
                     
                       D 
                       2 
                     
                     = 
                     
                       
                         
                           2 
                            
                           K 
                         
                         D 
                       
                       · 
                       
                         
                           V 
                           o 
                         
                         
                           V 
                           
                             i 
                              
                             
                                 
                             
                              
                             n 
                           
                         
                       
                     
                   
                   , 
                 
               
               
                 
                   Equation 
                    
                   
                       
                   
                    
                   15 
                 
               
             
           
         
       
     
         [0087]    where K=2 L/(RLTs). 
         [0088]    When Equation 15 is applied to Equation 13, an input/output voltage conversion ration Vo/Vin of a circuit of the present invention operating in the discontinuous conduction mode can be derived according to Equation 16; 
         [0000]    
       
         
           
             
               
                 
                   
                     
                       
                         V 
                         o 
                       
                       
                         V 
                         
                           i 
                            
                           
                               
                           
                            
                           n 
                         
                       
                     
                     = 
                     
                       
                         1 
                         + 
                         
                           
                             1 
                             + 
                             
                               
                                 4 
                                  
                                 
                                   D 
                                   2 
                                 
                               
                               K 
                             
                           
                         
                       
                       2 
                     
                   
                   , 
                 
               
               
                 
                   Equation 
                    
                   
                       
                   
                    
                   16 
                 
               
             
           
         
       
     
         [0089]    Accordingly, the input/output voltage conversion ratio can be obtained according to following Equation 17; 
         [0000]    
       
         
           
             
               
                 
                   
                     
                       
                         V 
                         o 
                       
                       
                         V 
                         
                           i 
                            
                           
                               
                           
                            
                           n 
                         
                       
                     
                      
                     
                        
                       DCM 
                     
                   
                   = 
                   
                     
                       N 
                       - 
                       1 
                       + 
                       
                         
                           
                             
                               ( 
                               
                                 N 
                                 - 
                                 1 
                               
                               ) 
                             
                             2 
                           
                           + 
                           
                             4 
                              
                             
                               
                                 D 
                                 2 
                               
                               / 
                               K 
                             
                           
                         
                       
                     
                     2 
                   
                 
               
               
                 
                   Equation 
                    
                   
                       
                   
                    
                   17 
                 
               
             
           
         
       
     
         [0090]    Electrical properties of the high voltage power supply of the present invention will be compared with those of the conventional high voltage power supply with reference to the Table below. 
         [0000]    
       
         
               
               
               
             
               
               
               
             
           
               
                   
                 TABLE 
               
               
                   
                   
               
               
                   
                 Conventional 
                 Present invention 
               
               
                   
                   
               
             
             
               
                   
               
             
          
           
               
                 Input/output voltage conversion ratio 
                 
                   
                     
                       
                         M 
                         = 
                         
                           
                             3 
                             - 
                             
                               2 
                                
                               
                                 D 
                                 * 
                               
                             
                           
                           
                             1 
                             - 
                             
                               D 
                               * 
                             
                           
                         
                       
                     
                   
                 
                 
                   
                     
                       
                         M 
                         = 
                         
                           
                             2 
                             + 
                             D 
                           
                           
                             1 
                             - 
                             D 
                           
                         
                       
                     
                   
                 
               
               
                   
               
               
                 Duty ratio 
                 
                   
                     
                       
                         
                           D 
                           * 
                         
                         = 
                         
                           
                             M 
                             - 
                             3 
                           
                           
                             M 
                             - 
                             2 
                           
                         
                       
                     
                   
                 
                 
                   
                     
                       
                         D 
                         = 
                         
                           
                             M 
                             - 
                             2 
                           
                           
                             M 
                             + 
                             1 
                           
                         
                       
                     
                   
                 
               
               
                   
               
               
                 Maximum inverse voltage of diode 
                 
                   
                     
                       
                         Vin 
                         
                           1 
                           - 
                           
                             D 
                             * 
                           
                         
                       
                     
                   
                 
                 
                   
                     
                       
                         Vin 
                         
                           1 
                           - 
                           D 
                         
                       
                     
                   
                 
               
               
                   
               
               
                 Capacitor voltage 
                 
                   
                     
                       
                         Vin 
                         , 
                         
                           Vin 
                           
                             1 
                             - 
                             
                               D 
                               * 
                             
                           
                         
                         , 
                         
                           
                             Vin 
                             
                               1 
                               - 
                               
                                 D 
                                 * 
                               
                             
                           
                           + 
                           Vin 
                         
                       
                     
                   
                 
                 
                   
                     
                       
                         
                           Vin 
                           
                             1 
                             - 
                             D 
                           
                         
                         , 
                         
                           
                             2 
                              
                             Vin 
                           
                           
                             1 
                             - 
                             D 
                           
                         
                       
                     
                   
                 
               
               
                   
               
               
                 Maximum drain-source voltage of switch 
                 
                   
                     
                       
                         Vin 
                         + 
                         
                           
                             
                               D 
                               * 
                             
                             
                               1 
                               - 
                               
                                 D 
                                 * 
                               
                             
                           
                            
                           Vin 
                         
                       
                     
                   
                 
                 
                   
                     
                       
                         Vin 
                         + 
                         
                           
                             1 
                             
                               1 
                               - 
                               D 
                             
                           
                            
                           Vin 
                         
                       
                     
                   
                 
               
               
                   
               
             
          
         
       
     
         [0091]    In the Table noted above, as shown in  FIG. 1 , the conventional high voltage power supply was set to multiply the converted DC power three times. The high voltage power supply of the present invention was set to include the first and second voltage multiplying cells  121  and  122  to multiply the DC power three times as in the conventional high voltage power supply. Also, the input DC power Vin was set to 24V and the output DC power Vo was set to 1200V. The switching frequency was set to 50 KHz and an operation mode was set to the current continuous conduction mode. 
         [0092]    Accordingly, the input/output voltage conversion ratio of the high voltage power supply of the conventional art and the present invention is set to 50, respectively. When the above voltage level is applied to Equations in the Table, the duty ratio of the conventional art and the present invention are set to 0.979 and 0.941, respectively. 
         [0093]    In the conventional high voltage power supply, the maximum inverse voltage applied to each of the diodes D 1 , D 2 , and D 3  is about 1152V. Meanwhile, the maximum inverse voltage applied to the first and second diodes D 1 , D 2 , D 3 , and D 4  and the output diode Do of the present invention can be as low as 408V. 
         [0094]    Moreover, in the conventional high voltage power supply, voltages of 24V, 1152V, and 1176V are applied to the capacitors C 1 , C 2 , and C 3 , respectively. On the other hand, in the present invention, a voltage of 408V is applied to the first and second capacitors C 1  and C 2  of the first multiplying cell  121  and the first capacitor C 3  of the second multiplying cell  122 , respectively and a voltage of 816V is applied to the second capacitor C 4  of the second multiplying cell. 
         [0095]    Furthermore, in the conventional high voltage power supply, a voltage of 1152V is applied to the switch Q. On the other hand, in the high voltage power supply of the present invention, a voltage of 432V is applied to the switch Q. 
         [0096]      FIG. 9  is a simulation waveform diagram of a high voltage power supply according to an exemplary embodiment of the invention. 
         [0097]    Referring to  FIG. 9 , the high voltage power supply of self oscillation according to the present embodiment includes the voltage multiplier  120  set to multiply the input DC power three times. When a voltage level of the DC power applied to the switch Q is about 384V and a voltage level of the DC power applied to the first inductor L 1  is about −360V, the output DC power is −1410V according to a multiplying ratio of the voltage multiplier  120 . 
         [0098]    As described above, the voltage applied to each of devices employed in the high voltage power supply of the present embodiment is much lower compared with the conventional high voltage power supply. This may lead to a slight increase in the number of devices added, but devices with relatively low withstanding voltages may be adopted to reduce manufacturing costs over the conventional high voltage power supply. 
         [0099]    As set forth above, according to exemplary embodiments of the invention, unlike a conventional high voltage power supply in which a converted DC power is applied to a diode regardless of switching on/off when a power is converted, a DC power is converted and applied through different paths according to switching on/off. Moreover, a power converting transformer is not employed and a voltage applied to an inductor is applied as a bias voltage of a switching device according to a turn ratio. As a result, the power is transferred by self oscillation to allow low voltage devices to be utilized, thereby reducing manufacturing costs. 
         [0100]    While the present invention has been shown and described in connection with the exemplary embodiments, it will be apparent to those skilled in the art that modifications and variations can be made without departing from the spirit and scope of the invention as defined by the appended claims.