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Semiconductor Devices

The N-Channel IGBT block models a PNP Bipolar transistor driven by an N-Channel MOSFET, as shown in the following figure:

The MOSFET source is connected to the bipolar transistor collector, and the MOSFET drain is connected to the bipolar transistor base. The MOSFET uses the equations shown in the N-Channel MOSFET block reference page. The bipolar transistor uses the equations shown in the PNP Bipolar Transistor block reference page, but with the addition of an emission coefficient parameter N that scales kT/q.
The N-Channel IGBT block uses the on and off characteristics you specify in the block dialog box to estimate the parameter values for the underlying N-Channel MOSFET and PNP bipolar transistor.
The block uses the off characteristics to calculate the base-emitter voltage, Vbe, and the saturation current, IS
When the transistor is off, the gate-emitter voltage is zero and the IGBT base-collector voltage is large, so the PNP base and collector current equations simplify to:

where N is the Emission coefficient N parameter value, Ic is the Zero gate voltage collector current Ices parameter value, and Ic and Ib are defined as positive flowing out of the collector and base respectively. See the PNP Bipolar Transistor reference page for definitions of the remaining variables.
The block sets βR and βF to typical values of 1 and 50, so these two equations can be used to solve for Vbe and IS:

The block uses the on characteristics to calculate the MOSFET gain, K.
The block approximates the base saturation current
as
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where Ice(sat) is the Collector-emitter saturation current Ice(sat) parameter value.
When saturated, PNP transistor base current equation simplifies to:

The block substitutes Ib(sat) for Ib and solves this equation for Vbe(sat):

When saturated, the MOSFET equation is:

where Vth is the Gate-emitter threshold voltage Vge(th) parameter value and VGE(sat) is the Gate-emitter voltage for {Vce(sat),Ice(sat)} parameter value.
Vds is related to the transistor voltages as Vds = VCE – Vbe. The block substitutes this relationship for Vds, sets the base-emitter voltage and base current to their saturated values, and rearranges the MOSFET equation to give

where VCE(sat) is the Collector-emitter saturation voltage Vce(sat) parameter value.
These calculations ensure the zero gate voltage collector current and collector-emitter saturation voltage are exactly met at these two specified conditions. However, the current-voltage plots are very sensitive to the emission coefficient N and the precise value of Vth. If the manufacturer datasheet gives current-voltage plots for different VGE values, then the N and Vth can be tuned by hand to improve the match.
The block models gate junction capacitance as a fixed gate-emitter capacitance CGE and a fixed gate-collector capacitance CGC. If you select Specify using equation parameters directly for the Parameterization parameter, you specify these values directly using the Gate-emitter junction capacitance and Gate-collector junction capacitance parameters. Otherwise, the block derives them from the Input capacitance Cies and Reverse transfer capacitance Cres parameter values that IGBT datasheets usually provide. The two parameterizations are related as follows:
CGE = Cres
CGC = Cies – Cres
The model is based on the following assumptions:
This block does not allow you to specify initial conditions on the junction capacitances. If you select the Start simulation from steady state option in the Solver Configuration block, the block solves the initial voltages to be consistent with the calculated steady state. Otherwise, voltages are zero at the start of the simulation.
This block does not model temperature-dependent effects. SimElectronics simulates the block at the temperature at which the component behavior was measured, as specified by the Measurement temperature parameter value.
You may need to use nonzero junction capacitance values to prevent numerical simulation issues, but the simulation may run faster with these values set to zero.

The collector current that flows when the gate-emitter voltage is set to zero, and a large collector-emitter voltage is applied i.e. the device is in the off-state. The default value is 2 mA.
The threshold voltage used in the MOSFET equations. The default value is 6 V.
The collector-emitter voltage for a typical on-state as specified by the manufacturer. The default value is 2.8 V.
The collector-emitter current when the gate-emitter voltage is Vge(sat) and collector-emitter voltage is Vce(sat). The default value is 400 A.
The gate voltage used when measuring Vce(sat) and Ice(sat). The default value is 15 V.
The emission coefficient or ideality factor of the bipolar transistor. The default value is 1.
The temperature for which the parameters are quoted. It is also the temperature at which the device is simulated. The default value is 25 C.

Select one of the following methods for block parameterization:
Specify from a datasheet — Provide parameters that the block converts to junction capacitance values. This is the default method.
Specify using equation parameters directly — Provide junction capacitance parameters directly.
The gate-emitter capacitance with the collector shorted to the source. This parameter is only visible when you select Specify from a datasheet for the Model junction capacitance parameter. The default value is 26.4 nF.
The collector-gate capacitance with the emitter connected to ground. This parameter is only visible when you select Specify from a datasheet for the Model junction capacitance parameter. The default value is 2.7 nF.
The value of the capacitance placed between the gate and the emitter. This parameter is only visible when you select Specify using equation parameters directly for the Model junction capacitance parameter. The default value is 23.7 nF.
The value of the capacitance placed between the gate and the collector. This parameter is only visible when you select Specify using equation parameters directly for the Model junction capacitance parameter. The default value is 2.7 nF.
The block has the following ports:
Electrical conserving port associated with the PNP emitter terminal.
Electrical conserving port associated with the MOSFET gate terminal.
Electrical conserving port associated with the PNP collector terminal.
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