Patent Publication Number: US-8530930-B2

Title: Semiconductor device having plural insulated gate switching cells and method for designing the same

Description:
INCORPORATION BY REFERENCE 
     The present application claims priority under 35 U.S.C. §119 to Japanese Patent Application No. 2010-232610 filed on Oct. 15, 2010. The content of the application is incorporated herein by reference in its entirety. 
     BACKGROUND OF THE INVENTION 
     1. Field of the Invention 
     The present invention relates to a semiconductor device for use in a power converter such as an inverter or the like, and a method of designing the semiconductor device. 
     2. Description of Related Art 
     An insulated gate type semiconductor device is used for a power converter such as an inverter for large current or the like, and IGBT (Insulated Gate Bipolar Transistor) is typically known as an element for the insulated gate type semiconductor device, for example. Furthermore, a semiconductor device having plural IGBT cells which are provided in a stripe-like arrangement or a mesh-like arrangement to reduce ON voltage is also known. An emitter electrode common to some IGBT cells is provided on the surface of the thus-constructed semiconductor device, and plural bonding wires extending from peripheral electrodes provided on the periphery of the semiconductor device are bonded and electrically connected to the emitter electrode at suitable intervals. 
     Furthermore, it is known that when latch-up occurs in such a semiconductor device, large current flows through each bonding wire, and the current density just below the bonding wire becomes larger than that at the circumference of the bonding wire, so that the IGBT cells just below the bonding wires are broken. 
     A technique of suppressing the current density just below bonding wires by improving the imbalance of a current distribution in the semiconductor device is disclosed in JP-A-10-112541, for example. 
     According to the disclosure of this technique, it is indicated that the wire resistance between the emitter electrode of an IGBT and a bonding wire is lower as the IGBT cell concerned is nearer to the bonding wire. In other words, larger current loss occurs between the emitter electrode of an IGBT cell and the bonding wire due to relatively large wire resistance as the IGBT cell concerned is farther away from the bonding wire, however, current loss is small in an IGBT cell just below the bonding wire. As a result, it is suggested that a nonuniform current distribution having a peak just below the bonding wire is obtained. 
     Furthermore, according to the technique described above, current loads of the respective IGBT cells which are different in accordance with the distance from the bonding wire are made uniform so that the current distribution uniform is uniform. In order to make the current load uniform among the IGBT cells, the IGBT cells are designed so that the size of the IGBT cell is reduced to increase the current density at a place which is far away from the bonding wire and at which the current load is small. Conversely, the size of the IGBT cell is increased to lower the current density at a place which is near to the bonding wire and at which the current load is large. Accordingly, the current distribution is made uniform in the semiconductor device, and the concentration of current just below the bonding wires can be suppressed. 
     However, the difference in wire resistance between the IGBT cell at the place far away from the bonding wire and the IGBT cell at the place near to the bonding wire is not so large that it does not remarkably affect the difference between current loses of these IGBT cells. Therefore, the current distribution cannot be sufficiently made uniform by varying the size of the IGBT cell in accordance with the distance from the bonding wire, and thus the current density just below the bonding wire cannot be suppressed. In addition, when the size of the IGBT cell is varied in accordance with the distance from the bonding wire, the circuit design and manufacturing process are cumbersome. 
     SUMMARY OF THE INVENTION 
     The present invention has been implemented in view of the foregoing situation, and has an object to provide a semiconductor device that can make a current distribution in a semiconductor device uniform without varying the size of IGBT cells. 
     In order to attain the above object, according to an aspect of the present invention, a semiconductor device comprises: a plurality of insulated gate switching cells each of which has a gate electrode; an emitter electrode that is commonly provided to cover the plurality of insulated gate type switching cells; and a bonding wire connected to the emitter electrode, a gate driving voltage being applied to the gate electrode of each insulated gate switching cell so that emitter current flows through the emitter electrode, wherein the gate type driving voltage to be applied to the gate electrode of each insulated gate switching cell is varied in accordance with a distance from a connection position of the bonding wire to the emitter electrode of the insulated gate switching cell, so that the emitter current flowing through the emitter electrode varies in accordance with the distance concerned, and mutual conductance of each insulated gate switching cell is varied in accordance with the distance of the insulated gate switching cell from the connection portion so that the emitter current flowing through the emitter electrode is substantially equal among the plurality of insulated gate switching cells. 
     In the above semiconductor device, each insulated gate switching cell may comprise a base layer, an emitter layer formed in the base layer, the gate electrode formed on the emitter layer through an insulated layer and the emitter electrode formed on the emitter layer, and the mutual conductance of each insulated gate switching cell may be varied by varying an occupancy rate of the emitter layer in the base layer. 
     In the above semiconductor device, the occupancy rate of the emitter layer in the base layer may be varied by varying the emitter width of the emitter layer. 
     In the above semiconductor device, the emitter width of each insulated gate switching cell may be larger as the insulated gate switching cell is farther away from the connection portion. 
     According to another aspect of the present invention, a method of designing a semiconductor device having a plurality of insulated gate switching cells each of which has a base layer, an emitter layer formed in the base layer, a gate electrode formed on the emitter layer through an insulated layer and an emitter electrode which is commonly formed on the emitter layers of the plurality of insulated gate switching cells, and a bonding wire connected to the emitter electrode, a gate driving voltage being applied to the gate electrode of each insulated gate switching cell so that emitter current flows through the emitter electrode, comprises: forming the emitter layer in the base layer of each insulated gate switching cell so that emitter width thereof is larger as the insulated gate switching cell is farther away from the connection portion of the bonding wire to the emitter electrode, whereby the emitter current flowing through the emitter electrode is substantially equal among the plurality of insulated gate switching cells. 
     According to the present invention, even when a difference occurs in gate driving voltage in accordance with the distance from the connection position of the bonding wire, the mutual conductance of each switching cell is varied in accordance with this difference, whereby the emitter current can be made equal among the respective switching cells. Accordingly, the current distribution can be made uniform in the semiconductor device. In addition, the current density at the connection position of the bonding wire is not higher than those at the other places, and thus the switching cells can be prevented from being broken at the connection position when latch-up occurs can be prevented. Therefore, resistance to latch-up can be enhanced. Furthermore, it is unnecessary to vary the size of the switching cell, and thus the circuit design and manufacturing process are not cumbersome. 
     Furthermore, the mutual conductance of each insulated gate switching cell is varied by varying the emitter width of the insulated gate switching cell, whereby the mutual conductance of each insulated gate switching cell can be simply and accurately adjusted. 
    
    
     
       BRIEF DESCRIPTION OF THE DRAWINGS 
         FIG. 1  is a diagram showing a planar configuration of a semiconductor device according to an embodiment of the present invention; 
         FIG. 2  is a diagram showing the cross-sectional construction of I-I line of  FIG. 1 , and also a partially cut-out perspective view of a cell structure formed in the semiconductor device  1 ; 
         FIG. 3  is a cross-sectional view showing the construction of the semiconductor device in the neighborhood of a connection portion of a bonding wire; 
         FIG. 4  is an equivalent circuit diagram of an IGBT cell equipped to the semiconductor device; 
         FIG. 5  is a diagram showing a simulation result of collector-emitter current when respective IGBT cells have the same parameter in the equivalent circuit shown in  FIG. 4 ; 
         FIGS. 6A and 6B  are diagrams showing increase of the gate-emitter voltage of an IGBT cell caused by parasitic resistance of an emitter electrode; 
         FIG. 7  is a diagram showing a simulation result of collector-emitter current when a coefficient Kp of each IGBT cell is adjusted in the equivalent circuit shown in  FIG. 4 ; and 
         FIGS. 8A ,  8 B and  8 C are diagrams showing the structure of an N emitter layer for which the coefficient Kp is adjusted. 
     
    
    
     DETAILED DESCRIPTION OF PREFERRED EMBODIMENT 
     A preferred embodiment according to the present invention will be described hereunder with reference to the accompanying drawings. 
       FIG. 1  is a diagram showing the planar construction of a semiconductor device  1  according to an embodiment.  FIG. 2  is a diagram showing the cross-sectional construction of I-I line of  FIG. 1 , and is a partially cut-out perspective view of a cell structure formed in the semiconductor device  1 . 
     The semiconductor device  1  has a semiconductor substrate  2 , and many IGBT cells  10  ( FIG. 2 ) as insulated gate switching cells are formed in the semiconductor substrate  2  so as to be arranged in parallel in a stripe-like form. Gate pads  4  to be electrically connected to gate electrodes  20  ( FIG. 2 ) of plural IGBT cells  10  are intensively formed at two corner portions of the semiconductor substrate  2 . 
     As shown in  FIG. 2 , the semiconductor device  1  is constructed as follows. That is, a p-type P collector layer  12  as a second conduction type collector layer is provided on one surface (back surface) of an n-type N-semiconductor layer  11  as a first conduction type semiconductor layer, and p-type P base layers  14  as second conduction type base regions are selectively formed to be arranged in a stripe-like form on the other surface (upper surface). Furthermore, n-type N emitter layers  16  as first conduction type are selectively formed in the regions of the P base layers  14  so as to be arranged at fixed intervals in the same direction as the stripe direction X of the P base layers  14 , and gate electrodes  20  and an emitter electrode  22  are formed through an insulating layer  18  on the N emitter layers  16 . 
     Contact openings  24  are formed in the insulating layer  18  so as to extend in a stripe-like form in parallel to the N emitter layers  16  so that the N emitter layers  16  are exposed through the contact openings  24 . The emitter electrode  22  comes into contact with the N emitter layers  16  through the contact openings  24 . The emitter electrode  22  is formed of an electrical conducting material such as aluminum or the like, for example, and provided on the insulating layer  18  so as to cover the surface of the semiconductor device  1 . According to this construction, plural IGBT cells  10  are formed at both the sides of each contact opening  24  and arranged in the stripe direction X so that each contact opening  24  is sandwiched by the IGBT cells  10 . Accordingly, the IGBT cells  10  are provided in a mesh-like form on the surface of the semiconductor device  1 . 
     As described above, each IGBT cell  10  is covered by the common emitter electrode  22 , whereby collector-emitter current of each IGBT cell  10  flows to the emitter electrode  22 . High electrically conductive bonding wires  32  ( FIG. 3 ) are connected to the emitter electrode  22  at a predetermined interval W every column of IGBT cells  10  which are arranged in a stripe-like form. The respective IGBT cells  10  are electrically connected to peripheral electrodes (not shown) provided on the periphery of the semiconductor device  1  through the bonding wires  32 . 
       FIG. 3  is a cross-sectional view showing the construction of the semiconductor device  1  in the neighborhood of the connection portion  34  of the bonding wire  32 . 
     With respect to the thus-constructed semiconductor device  1 , if no countermeasure is taken, collector-emitter current Ice would be larger in an IGBT cell  10  as the IGBT cell  10  is nearer to the connection portion  34  of the bonding wire  32 , and thus the current density of the current flowing through the IGBT cell  10  concerned is higher, so that this IGBT cell  10  is broken. As a result of inventors&#39; devoted studies, the following knowledge has been achieved as a factor of increasing the current density as the IGBT cell  10  is nearer to the connection portion  34  of the bonding wire  32 . 
     That is, a difference occurs in gate-emitter voltage Vge as a gate driving voltage between an IGBT cell  10  nearer to the connection portion  34  of the bonding wire  32  and an IGBT cell  10  farther away from the connection portion  34  of the bonding wire  32 . That is, the gate-emitter voltage Vge is higher in the IGBT cell  10  nearer to the connection portion  34  of the bonding wire  32  than that in the IGBT cell  10  farther away from the connection portion of the bonding wire  32 . As a result, collector-emitter current Ice larger than a designed value flows through the IGBT cell  10  which is nearer to the connection portion  34  of the bonding wire  32 , and thus current is nonuniform among IGBT cells  10 . 
     More specifically, a parasitic resistor exists in the emitter electrode  22 , and thus a resistance component in a traverse direction (hereinafter referred to as “aluminum electrode resistor Rp”) occurs between the connection portion  34  of the bonding wire  32  and the IGBT cell  10 - 1  far away from the connection portion  34  of the bonding wire  32  as shown in  FIG. 3 . At this time, an equivalent circuit for the IGBT cell  10 - 1  far away from the connection portion  34  of the bonding wire  32  and the IGBT cell  10 - 2  just below the connection portion  34  is shown in  FIG. 4 . When this equivalent circuit is subjected to a simulation based on analysis software for electronic circuits, it is indicated that a large difference occurs in collector-emitter current Ice between the IGBT cells  10 - 1  and the  10 - 2 , and large collector-emitter current Ice flows in the IGBT cell  10 - 2  just below the connection portion  34 . 
     That is, the collector-emitter current Ice is represented by the following formula (1) when a coefficient associated with (related to or representing) the surface MOS mutual conductance of the IGBT cell  10  is represented by KP, a threshold value is represented by VT and an electric field coefficient in the traverse direction is represented by θ[1/V]. 
     
       
         
           
             
               
                 
                   Ice 
                   = 
                   
                     
                       KP 
                       · 
                       
                         
                           ( 
                           
                             
                               V 
                               ge 
                             
                             - 
                             VT 
                           
                           ) 
                         
                         2 
                       
                     
                     
                       2 
                       · 
                       
                         ( 
                         
                           1 
                           + 
                           
                             θ 
                             · 
                             
                               ( 
                               
                                 
                                   V 
                                   ge 
                                 
                                 - 
                                 VT 
                               
                               ) 
                             
                           
                         
                         ) 
                       
                     
                   
                 
               
               
                 
                   ( 
                   1 
                   ) 
                 
               
             
           
         
       
     
     Here, it is assumed that the collector-emitter current Ice 1  flows in the IGBT cell  10 - 1  which is far away from the connection portion  34  of the bonding wire  32  in the semiconductor device as shown in  FIG. 3 . At this time, when the gate-emitter voltage applied to the gate electrode  20  of the IGBT cell  10 - 1  is represented by Vge 1 , the gate-emitter voltage Vge 2  applied to the gate electrode  20  of the IGBT cell  10 - 2  just below the bonding wire  32  increases to be larger than the gate-emitter voltage Vge 1  of the IGBT cell  10 - 1  by the amount corresponding to the product Rp×Ice 1  (Rp represents the aluminum electrode resistance and Ice 1  represents the collector-emitter current flowing through the IGBT cell  10 - 1 ). As a result, in the IGBT cell  10 - 2 , the gate-emitter voltage Vge contained in the formula (1) is larger than that of the IGBT cell  10 - 1 , and thus larger collector-emitter current Ice 2  occurs in the IGBT cell  10 - 2 . 
     When a gate wire  35  of the gate pad  4  is connected to a neighborhood of the IGBT cell  10 - 1  which is far away from the connection portion  34  of the bonding wire  32 , the connection portion  36  of the gate wire  35  is set to a reference potential (0V), and thus the gate-emitter voltage Vge 1  is substantially equal to the gate driving voltage Vg as a set value. 
     The above phenomenon will be described with reference to  FIGS. 6A and 6B . 
       FIG. 6A  shows a circuit diagram when a predetermined gate driving voltage Vg is applied to each of the gate electrodes  20 - 1  and  20 - 2  of the IGBT cells  10 - 1  and  10 - 2  in parallel while no collector-emitter current flows, and  FIG. 6B  shows a circuit diagram when collector-emitter current flows. Here, it is assumed that the collector-emitter current Ice 1  flows into the IGBT cell  10 - 1  under the above state. Here, when the potential of the connection portion  34  of the bonding wire  32  is set to a reference potential (0V), the potential at the IGBT cell  10 - 1  side increases by only the amount corresponding to the voltage drop (that is, Ice 1 ×Rp) at the aluminum electrode resistor Rp, and at this time the circuit state shown in  FIG. 6A  is shifted to the state of the circuit shown in  FIG. 6B . Under this state, the potential of Vg+Ice 1 ×Rp is applied to the high voltage side of each of the gate electrodes  20 - 1 ,  20 - 2  of the IGBT cells  10 - 1 ,  10 - 2 . 
     With respect to the IGBT cell  10 - 1 , the potential at the low voltage side thereof is equal to Ice 1 ×Rp, and thus the potential difference across the gate electrode  20 - 1  is equal to Vg, and thus no variation occurs in the substantial applied voltage. On the other hand, with respect to the IGBT cell  10 - 2 , the potential at the low voltage side thereof is set to the reference (0V) because the IGBT cell  10 - 2  is located just below the connection portion of the boding wire, and thus the potential difference across the gate electrode  20 - 2  is equal to Vg+Ice 1 ×Rp, and thus the applied voltage is increased by only the amount corresponding to the voltage drop at the aluminum electrode resistor Rp. Accordingly, the collector-emitter current Ice 2  of the IGBT cell  10 - 2  is increased. 
     On the other hand, according to this embodiment, even when a difference occurs between the gate-emitter voltages Vge 1  and Vge 2  of the respective IGBT cells  10 - 1  and  10 - 2 , the collector-emitter current Ice 1  and the collector-emitter current Ice 2  are set to be equal to each other by the following method. 
     That is, as shown in the formula (1), the collector-emitter current Ice also varies in accordance with a coefficient Kp which is related to or represents the surface MOS mutual conductance. According to this embodiment, the mutual conductance is varied by varying the coefficient Kp, whereby the collector-emitter current Ice 1  is made equal to the collector-emitter current Ice 2 . 
     Specifically, in a case where the collector-emitter current Ice 1  of the IGBT cell  10 - 1  is made to be equal to the collector-emitter current Ice 2  of the IGBT cell  10 - 2 , when the coefficients Kp of the IGBT cells  10 - 1  and  10 - 2  are represented by Kp 1  and Kp 2  respectively and the gate-emitter voltages Vge thereof are represented by Vge 1  and Vg 2  respectively, Vge 1 =Vg, Vge 2 =Vg+Ice 1 +Rp, and the coefficient Kp 2  is a constant (actual measurement value), and thus on the basis of the formula (1), the coefficient Kp 1  with which Ice 1 =Ice 2  is satisfied is determined from the following formula (2). 
     
       
         
           
             
               
                 
                   
                     KP 
                     ⁢ 
                     
                         
                     
                     ⁢ 
                     1 
                   
                   = 
                   
                     
                       
                         
                           
                             { 
                             
                               
                                 2 
                                 ⁢ 
                                 
                                   
                                     ( 
                                     
                                       1 
                                       + 
                                       
                                         θ 
                                         · 
                                         
                                           ( 
                                           
                                             Vge 
                                             - 
                                             VT 
                                           
                                           ) 
                                         
                                       
                                     
                                     ) 
                                   
                                   · 
                                   1 
                                 
                               
                               - 
                               
                                 
                                   ( 
                                   
                                     Vge 
                                     - 
                                     VT 
                                   
                                   ) 
                                 
                                 · 
                                 
                                   ( 
                                   
                                     
                                       KP 
                                       ⁢ 
                                       
                                           
                                       
                                       ⁢ 
                                       
                                         2 
                                         · 
                                         Rp 
                                       
                                     
                                     - 
                                     θ 
                                   
                                   ) 
                                 
                               
                               - 
                             
                           
                         
                       
                       
                         
                           
                             
                               
                                 
                                   
                                     
                                       
                                         { 
                                         
                                           
                                             
                                               ( 
                                               
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                                               ( 
                                               
                                                 
                                                   KP 
                                                   ⁢ 
                                                   
                                                       
                                                   
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                                                     · 
                                                     Rp 
                                                   
                                                 
                                                 - 
                                                 θ 
                                               
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                                           1 
                                         
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                                       2 
                                     
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                                       KP 
                                       ⁢ 
                                       
                                           
                                       
                                       ⁢ 
                                       
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                                         · 
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                                         · 
                                         
                                           ( 
                                           
                                             
                                               KP 
                                               ⁢ 
                                               
                                                   
                                               
                                               ⁢ 
                                               
                                                 2 
                                                 · 
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                                             - 
                                             
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                                               ⁢ 
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                                           ) 
                                         
                                         · 
                                         
                                           
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                                           2 
                                         
                                       
                                     
                                     } 
                                   
                                 
                               
                             
                           
                         
                       
                     
                     
                       
                         
                           ( 
                           
                             Vge 
                             - 
                             VT 
                           
                           ) 
                         
                         2 
                       
                       · 
                       
                         ( 
                         
                           
                             KP 
                             ⁢ 
                             
                                 
                             
                             ⁢ 
                             
                               2 
                               · 
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                           - 
                           
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                             ⁢ 
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                       · 
                       Rp 
                     
                   
                 
               
               
                 
                   ( 
                   2 
                   ) 
                 
               
             
           
         
       
     
     Furthermore, the coefficient Kp is represented by the following formula (3) when the surface mobility of the surface MOS transistor is represented by μs, the oxide film capacity of the IGBT cell  10  is represented by Cox, the channel length of the IGBT cell  10  is represented by Lch ( FIG. 3 ) and the emitter width (channel depth, channel width) of the IGBT cell  10  is represented by Zch ( FIG. 8 ). According to this formula (3), it is apparent that the rate (ratio) of the N emitter layer  16  occupying the unit area of the P base layer  14  (this occupancy rate or ratio of the N emitter layer  16  will be hereinafter referred to as “N emitter rate”) is varied by varying the emitter width Zch, thereby the coefficient Kp is adjustable. 
     
       
         
           
             
               
                 
                   KP 
                   = 
                   
                     
                       
                         μ 
                         ⁢ 
                         
                             
                         
                         ⁢ 
                         sCoxZch 
                       
                       Lch 
                     
                     ⁢ 
                     
                       ( 
                       
                         1 
                         + 
                         
                           θ 
                           ⁡ 
                           
                             ( 
                             
                               Vge 
                               - 
                               VT 
                             
                             ) 
                           
                         
                       
                       ) 
                     
                   
                 
               
               
                 
                   ( 
                   3 
                   ) 
                 
               
             
           
         
       
     
     That is, the N emitter rate of the IGBT cell  10 - 1  for which the coefficient Kp 1  is calculated according to the formula (2) is determined according to the formula (3), and the N emitter layer  16  of the IGBT cell  10 - 1  is constructed on the basis of the N emitter rate. Accordingly, the collector-emitter current Ice 1  of the IGBT cell  10 - 1  can be made equal to the collector-emitter current Ice 2  as shown in  FIG. 7 , and the current distribution in the semiconductor device  1  can be made uniform. 
     In the actual semiconductor design, the collector-emitter current Ice 2  for the IGBT cell  10 - 2  just below the connection portion  34  of the bonding wire  32  is first set on the basis of a required short-circuit resistance (i.e., to the extent that the IGBT just below the connection portion is not broken), and the N emitter rate of the IGBT cell  10 - 2  is determined on the basis of this collector-emitter current Ice 2 . 
     With respect to the other IGBT cells containing the IGBT cell  10 - 1  which are far away from the IGBT cell  10 - 2  just below the connection portion  34  of the bonding wire  32 , the coefficients Kp of these IGBTs (containing the coefficient Kp 1  of the IGBT  10 - 1 ) are calculated on the basis of the formula (3) in accordance with the distance from the connection portion  34  of the bonding wire  32 , and the emitter rates of these IGBTs are determined on the basis of the coefficients Kp. That is, the emitter rate of the IGBT  10 - 1  is determined on the basis of the coefficient Kp 1 ). 
     Here, the aluminum electrode resistance Rp is a factor associated with the distance concerned. For example, the aluminum electrode resistance Rp may be regarded as being substantially proportional to the distance from the connection portion  34  of the bonding wire  32 . In other words, the distance concerned may be defined on the basis of the value of the aluminum electrode resistance Rp. 
     For example, it is assumed that the coefficient Kp 1  at a place Y 2  (see  FIG. 8 ) distant from the connection portion  34  by 1 mm is determined as Kp 1 =35.6[A/V 2 ] when the thickness of the emitter electrode  22  is equal to 4 μm and the width of the contact opening  24  of the emitter electrode  22  is set to 2 mm. In this case, when the emitter rate of the IGBT cell  10 - 2  at the place Y 1  (see  FIG. 8 ) just below the connection portion  34  is equal to 50% and the coefficient Kp 2  is equal to 20[A/V 2 ], for example, the emitter rate of the IGBT cell  10 - 1  at the place Y 2  which is distant from the connection portion  34  by 1 mm is determined as 50(%)×35.6/20=89% according to the calculating formula of (emitter rate of IGBT cell  10 - 2 )×(coefficient Kp 1 )/(coefficient Kp 2 ). 
     As described above, according to the semiconductor device  1  of this embodiment, after the emitter rate is determined according to the distance from the connection portion  34  of the bonding wire  32 , the emitter width Zch of the N emitter layer  16  of each IGBT cell  10  is varied so that the emitter rate corresponds to the distance from the connection portion  34  of the bonding wire  32  as shown in  FIG. 8B  and  FIG. 8C  to thereby adjust the coefficient Kp. Accordingly, the collector-emitter current Ice of each IGBT cell  10  is constant irrespective of the distance from the connection portion  34 , and thus the current value is not deviated in accordance with the distance from the connection portion  34  and thus a uniform current distribution is obtained. 
     As described above, according to this embodiment, even when there occurs a difference in gate-emitter voltage Vge in accordance with the distance from the connection portion  34  of the bonding wire  32 , the coefficient Kp relating to the mutual conductance of each IGBT cell  10  is varied in accordance with this difference, whereby the collector-emitter current Ice is substantially equal among the respective IGBT cells  10 . 
     Accordingly, the current distribution in the semiconductor device  1  can be made uniform, and the current density at the connection portion  34  of the bonding wire  32  is not higher than that at the other places. Therefore, when latch-up occurs, the IGBT cell just below the connection portion  34  of the bonding wire  32  can be prevented from being broken, and the resistance to latch-up can be enhanced. 
     Furthermore, it is unnecessary to vary the size of the IGBT cell  10  to make the current density uniform, and thus the circuit design and manufacturing process are not cumbersome. 
     Furthermore, according to this embodiment, the coefficient Kp associated with the mutual conductance is varied by varying the emitter width Zch or/and the channel length Lch of the IGBT cell  10 , and thus the mutual conductance of each IGBT cell  10  can be simply and accurately adjusted. 
     The present invention is not limited to the above embodiment, and any modification and application can be made without departing from the subject matter of the present invention. 
     For example, in the above embodiment, the collector-emitter current Ice of each of the IGBT cells other than the IGBT cell  10 - 2  are made to approach to the collector-emitter current Ice 2  of the IGBT cell  10 - 2  (i.e., the IGBT cell just below the connection portion  34  of the bonding wire  32 ). However, the present invention is not limited to this style. The collector-emitter current Ice 2  of the IGBT cell  10 - 2  may be made to approach to the collector-emitter current Ice 1  of the IGBT cell  10 - 1  which is far away from the connection portion of the bonding wire). In this case, the coefficient Kp 2  which provides Ice 1 =Ice 2  is determined according to the following formula (4). The emitter rate is determined on the basis of the value calculated by this formula (4). 
     
       
         
           
             
               
                 
                   
                     kp 
                     ⁢ 
                     
                         
                     
                     ⁢ 
                     2 
                   
                   = 
                   
                     
                       2 
                       ⁢ 
                       kp 
                       ⁢ 
                       
                           
                       
                       ⁢ 
                       
                         1 
                         · 
                         
                           ( 
                           
                             
                               2 
                               · 
                               
                                 
                                   ( 
                                   
                                     1 
                                     + 
                                     
                                       θ 
                                       · 
                                       
                                         ( 
                                         
                                           Vge 
                                           - 
                                           VT 
                                         
                                         ) 
                                       
                                     
                                   
                                   ) 
                                 
                                 2 
                               
                             
                             + 
                             
                               
                                 Rp 
                                 · 
                                 KP 
                               
                               ⁢ 
                               
                                   
                               
                               ⁢ 
                               
                                 1 
                                 · 
                                 θ 
                                 · 
                                 
                                   
                                     ( 
                                     
                                       Vge 
                                       - 
                                       VT 
                                     
                                     ) 
                                   
                                   2 
                                 
                               
                             
                           
                           ) 
                         
                       
                     
                     
                       
                         ( 
                         
                           
                             2 
                             · 
                             
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                                 + 
                                 
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                                   · 
                                   
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                                       Vge 
                                       - 
                                       VT 
                                     
                                     ) 
                                   
                                 
                               
                               ) 
                             
                           
                           + 
                           
                             
                               Rp 
                               · 
                               KP 
                             
                             ⁢ 
                             
                                 
                             
                             ⁢ 
                             
                               1 
                               · 
                               θ 
                               · 
                               
                                 ( 
                                 
                                   Vge 
                                   - 
                                   VT 
                                 
                                 ) 
                               
                             
                           
                         
                         ) 
                       
                       2 
                     
                   
                 
               
               
                 
                   ( 
                   4 
                   ) 
                 
               
             
           
         
       
     
     Furthermore, it is needless to say that the collector-emitter current Ice of each IGBT cell may be made to approach to a predetermined collector-emitter current Ice so that the collector-emitter current is substantially equal among all the IGBT cells. 
     In the above embodiment, the coefficient Kp is adjusted on the basis of the emitter width Zch. However, the present invention is not limited to this style, and for example, it may be adjusted by varying the oxide film capacity Cox, the threshold value VT or the channel length Lch of the IGBT cell  10 .