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[edit] Summary

Description

Static characteristic of a imaginary Insulated Gate Bipolar Transistor (IGBT)

Source

own work, loosely based on model in "Power semiconductor devices" by B. J. Baliga, ISBN 0-534-94098-6

Date

28/06/2006

Author

Cyril BUTTAY

Permission

as licensed

[edit] Licensing

I, the author of this work, hereby publish it under the following licenses:
GNU head Permission is granted to copy, distribute and/or modify this document under the terms of the GNU Free Documentation License, Version 1.2 or any later version published by the Free Software Foundation; with no Invariant Sections, no Front-Cover Texts, and no Back-Cover Texts. A copy of the license is included in the section entitled "GNU Free Documentation License".

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Made using gnuplot V4.0 and the following source:

# This file is used to plot the I(V) curve set of a MOSFET

# graph configuration
set terminal postscript eps enhanced "Times-Roman" 24 
set encoding iso_8859_15
unset title
set line style 1 lt 10 lw 3 pt 0 ps 0
set line style 2 lt 3 lw 3 pt 0 ps 0
set border 15 lt 10 lw 4
set mxtics 
set mytics 
set grid xtics ytics
set xlabel "Collector-Emitter voltage [V]"
set ylabel "Collector current [arbitrary unit]"
set format y '%0.0f'
set format x "%0.0f" 

# labels displayed on the graph
set label 3 'V{_{GE}}-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

# The model is basically that of a mosfet, with a diode in series
# Drain current in linear region
linear(vds,vgsvth)=2*vgsvth*vds-vds**2
# Drain current in saturation region
saturation(vds,vgsvth)=vgsvth**2
# Drain current 
draincurrent(vds,vgsvth)=(vds>vgsvth?saturation(vds,vgsvth):linear(vds,vgsvth))
# limit between saturation and linear regions
limit(vds)=vds**2
# 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
# this is totally non physical: we calculate the current in the drain of the mosfet,
# then use this value to calculate the voltage drop in the diode, and then plot Vf+voltage
# on the x-axis, and the current on the y-axis. Then, I divide the voltage across the MOSFET
# 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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