File:IvsV IGBT.png

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This plot was created with Gnuplot by n.

-V{_{th}}=7 V' at 9.8,47 right

set label 4 '6 V' at 9.8,37.5 right set label 5 '5 V' at 9.8,26.5 right set label 6 '4 V' at 9.8,17.4 right set label 7 '3 V' at 9.8,10.5 right set label 8 '2 V' at 9.8,5.5 right set label 9 '1 V' at 9.8,2.5 right

1. The model is basically that of a mosfet, with a diode in series
2. Drain current in linear region

linear(vds,vgsvth)=2*vgsvth*vds-vds**2

1. Drain current in saturation region

saturation(vds,vgsvth)=vgsvth**2

1. Drain current

draincurrent(vds,vgsvth)=(vds>vgsvth?saturation(vds,vgsvth):linear(vds,vgsvth))

1. limit between saturation and linear regions

limit(vds)=vds**2

1. diode forward voltage:

Vf(t,vgsvth)=2*0.026*log(draincurrent(t,vgsvth)/10e-8)

set output "IvsV_IGBT.eps" set parametric set sample 2000

1. this is totally non physical: we calculate the current in the drain of the mosfet,
2. then use this value to calculate the voltage drop in the diode, and then plot Vf+voltage
3. on the x-axis, and the current on the y-axis. Then, I divide the voltage across the MOSFET
4. by an arbitrary factor (4) to get a steeper curve.

plot [0:40 ][0:10][0:50] Vf(t,1)+t/4,draincurrent(t,1) ls 1 title ,\

	Vf(t,2)+t/4,draincurrent(t,2) ls 1 title ,\
	Vf(t,3)+t/4,draincurrent(t,3) ls 1 title ,\

Vf(t,4)+t/4,draincurrent(t,4) ls 1 title ,\

	Vf(t,5)+t/4,draincurrent(t,5) ls 1 title ,\
	Vf(t,6)+t/4,draincurrent(t,6) ls 1 title ,\
	Vf(t,7)+t/4,draincurrent(t,7) ls 1 title 

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