update vdmos examples to the new model interface

This commit is contained in:
dwarning 2020-01-25 16:18:33 +01:00 committed by Holger Vogt
parent 0362d63094
commit d244b1c008
19 changed files with 392 additions and 86 deletions

115
examples/vdmos/100W.sp Normal file
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100W VDMOS power amplifier
*100W into 8Ω at less than .1% THD
*72° phase margin @ 950kHz
*Adjust R7 for 15mA quiescent current through Q1/Q2
*R24 & R25 are optional output offset trimming
*
VTamb tamb 0 25
MQ1 +V N010 N012 tn tcn IRFP240 tnodeout
X1 tcn tamb case-ambient
MQ2 -V N020 N017 tp tcp IRFP9240 tnodeout
X2 tcp tamb case-ambient
R1 OUT N017 .33
R2 N012 OUT .33
C1 OUT N016 100n
R3 N016 0 10
R4 N010 N009 470
R5 N020 N019 470
V1 +V 0 50
V2 0 -V 50
Q3 N009 N006 N005 0 MJE350
Q4 N006 N006 N004 0 MJE350
R6 +V N005 100
R7 N009 N019 820
Q5 N019 N023 N024 0 MJE340
R8 +V N004 100
R9 N024 -V 100
Q6 N022 N021 N024 0 MJE340
C2 N023 N019 18p
C3 N022 N021 18p
R10 N006 N022 10K
Q7 N023 N015 N008 0 MJE350
Q8 N021 N011 N008 0 MJE350
R13 N023 -V 3.9K
R14 N021 -V 3.9K
Q9 N008 N003 N001 0 MJE350
R15 +V N001 470
R16 N002 N001 1K
Q10 N003 N002 +V 0 MJE350
R17 N003 N007 10K
R18 N007 0 10K
C4 +V N007 47u
R19 OUT1 N011 27K
R20 N011 N018 1K
C5 N018 0 100u
C6 N015 0 330p
R21 N015 N014 2.2K
R22 N014 0 47K
C7 N014 N013 2.2u
Vin N013 0 ac 0 dc 0 SINE(0 {V} 1K)
RLOAD OUT 0 8
R24 +V N011 3.7Meg
R25 N011 -V 6.1Meg
V3 OUT OUT1 dc 0 ac 1
C8 OUT1 N011 3p
*
.param V=1.44 ; 100W RMS
.save @r1[i] @r2[i] v(out1) v(out) @rload[i] v(tn) v(tp) v(tcn) v(tcp) inoise_spectrum
.control
op
print v(out) @r1[i] @r2[i]
ac dec 100 10 1Meg
plot db(V(out)/V(out1))
set units=degrees
plot ph(V(out)/V(out1))
tran 1u 1000m
fourier 1K V(out)
plot v(out)*@rload[i]
settype temperature v(tn) v(tp) v(tcn) v(tcp)
plot v(tn) v(tp) v(tcn) v(tcp)
linearize v(out)
fft v(out)
plot db(v(out)) xlimit 0 20k
alter v3 ac = 0
alter vin ac = 1
noise V(out) Vin dec 10 10 100K
setplot noise2
plot inoise_spectrum
.endc
*
.model IRFP240 VDMOS nchan
+ Vto=4 Kp=5.9 Lambda=.001 Theta=0.015 ksubthres=.27
+ Rd=61m Rs=18m Rg=3 Rds=1e7
+ Cgdmax=2.45n Cgdmin=10p a=0.3 Cgs=1.2n
+ Is=60p N=1.1 Rb=14m XTI=3
+ Cjo=1.5n Vj=0.8 m=0.5
+ tcvth=0.0065 MU=-1.27 texp0=1.5
+ Rthjc=0.4 Cthj=5e-3
+ mtriode=0.8
.model IRFP9240 VDMOS pchan
+ Vto=-4 Kp=8.8 Lambda=.003 Theta=0.08 ksubthres=.35
+ Rd=180m Rs=50m Rg=3 Rds=1e7
+ Cgdmax=1.25n Cgdmin=50p a=0.23 Cgs=1.15n
+ Is=150p N=1.3 Rb=16m XTI=2
+ Cjo=1.3n Vj=0.8 m=0.5
+ tcvth=0.004 MU=-1.27 texp0=1.5
+ Rthjc=0.4 Cthj=5e-3
+ mtriode=0.6
*
.model MJE340 NPN(Is=1.03431e-13 BF=172.974 NF=.939811 VAF=27.3487 IKF=0.0260146 ISE=4.48447e-11 Ne=1.61605 Br=16.6725
+ Nr=0.796984 VAR=6.11596 IKR=0.10004 Isc=9.99914e-14 Nc=1.99995 RB=1.47761 IRB=0.2 RBM=1.47761 Re=0.0001 RC=1.42228
+ XTB=2.70726 XTI=1 Eg=1.206 CJE=1e-11 VJE=0.75 Mje=.33 TF=1e-09 XTF=1 VTF=10 ITF=0.01 CJC=1e-11 VJC=.75 MJC=0.33 XCJC=.9
+ Fc=0.5 CJS=0 VJS=0.75 MJS=0.5 TR=1e-07 PTF=0 KF=1e-15 AF=1)
.model MJE350 PNP(Is=6.01619e-15 BF=157.387 NF=.910131 VAF=23.273 IKF=0.0564808 Ise=4.48479e-12 Ne=1.58557 BR=0.1
+ NR=1.03823 VAR=4.14543 IKR=.0999978 ISC=1.00199e-13 Nc=1.98851 RB=.1 IRB=0.202965 RBM=0.1 Re=.0710678 Rc=.355339
+ XTB=1.03638 XTI=3.8424 Eg=1.206 Cje=1e-11 Vje=0.75 Mje=0.33 TF=1e-09 XTF=1 VTF=10 ITF=0.01 Cjc=1e-11 Vjc=0.75
+ Mjc=0.33 XCJC=0.9 Fc=0.5 Cjs=0 Vjs=0.75 Mjs=0.5 TR=1e-07 PTF=0 KF=1e-15 AF=1)
*
.subckt case-ambient case amb
rcs case 1 0.1
csa 1 0 30m
rsa 1 amb 1.3
.ends
.end

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VDMOS wingspread plot example
M1 +V N004 N005 IRFP240
M2 -V N009 N007 IRFP9240
R1 OUT N007 .33
R2 N005 OUT .33
R4 N004 N003 470
R5 N009 N008 470
V1 +V 0 50
V2 0 -V 50
Q3 -V N011 N008 0 MJE350
R7 N003 N008 870
Q5 +V N002 N003 0 MJE340
Vin N006 0 0
RLoad OUT 0 r = 8
V3 N001 N006 4.8
V4 N006 N010 4.8
I1 +V N001 12m
I2 N010 -V 12m
R3 N002 N001 10
R8 N011 N010 10
*
.save all @r1[i] @r2[i] v(out) @rload[i]
.control
let gain=vector(2005)
reshape gain [5][401]
let irload=vector(2005)
reshape irload [5][401]
let offset = 0.05
foreach Rl 4 6 8
setplot new
set curplottitle = "wingspread $Rl Ohm"
set plotname=$curplot
alter Rload r = $Rl
let index = 0
foreach vbias 4.7 4.8 4.9 5.0 5.1
alter v3 dc = $vbias + offset
alter v4 dc = $vbias - offset
op
print v(out) @r1[i] @r2[i]
dc vin -20 20 0.1
set dcplotname = $curplot
setplot $plotname
let gain[index] = deriv({$dcplotname}.out)
let irload[index] = {$dcplotname}.@rload[i]
let index = index + 1
destroy $dcplotname
end
settype current irload
plot gain[0] gain[1] gain[2] gain[3] gain[4] vs irload[2]
end
.endc
*
.model IRFP240 VDMOS nchan
+ Vto=4 Kp=5.9 Lambda=.001 Theta=0.015 ksubthres=.27
+ Rd=61m Rs=18m Rg=3 Rds=1e7
+ Cgdmax=2.45n Cgdmin=10p a=0.3 Cgs=1.2n
+ Is=60p N=1.1 Rb=14m XTI=3
+ Cjo=1.5n Vj=0.8 m=0.5
+ tcvth=0.0065 MU=-1.27 texp0=1.5
*+ Rthjc=1.8k Cthj=1e-3
+ mtriode=0.8
.model IRFP9240 VDMOS pchan
+ Vto=-4 Kp=8.8 Lambda=.003 Theta=0.08 ksubthres=.35
+ Rd=180m Rs=50m Rg=3 Rds=1e7
+ Cgdmax=1.25n Cgdmin=50p a=0.23 Cgs=1.15n
+ Is=150p N=1.3 Rb=16m XTI=2
+ Cjo=1.3n Vj=0.8 m=0.5
+ tcvth=0.004 MU=-1.27 texp0=1.5
*+ Rthjc=1.8k Cthj=1e-3
+ mtriode=0.6
*
.model MJE340 NPN(Is=1.03431e-13 BF=172.974 NF=.939811 VAF=27.3487 IKF=0.0260146 ISE=4.48447e-11 Ne=1.61605 Br=16.6725
+ Nr=0.796984 VAR=6.11596 IKR=0.10004 Isc=9.99914e-14 Nc=1.99995 RB=1.47761 IRB=0.2 RBM=1.47761 Re=0.0001 RC=1.42228
+ XTB=2.70726 XTI=1 Eg=1.206 CJE=1e-11 VJE=0.75 Mje=.33 TF=1e-09 XTF=1 VTF=10 ITF=0.01 CJC=1e-11 VJC=.75 MJC=0.33 XCJC=.9
+ Fc=0.5 CJS=0 VJS=0.75 MJS=0.5 TR=1e-07 PTF=0 KF=0 AF=1)
.model MJE350 PNP(Is=6.01619e-15 BF=157.387 NF=.910131 VAF=23.273 IKF=0.0564808 Ise=4.48479e-12 Ne=1.58557 BR=0.1
+ NR=1.03823 VAR=4.14543 IKR=.0999978 ISC=1.00199e-13 Nc=1.98851 RB=.1 IRB=0.202965 RBM=0.1 Re=.0710678 Rc=.355339
+ XTB=1.03638 XTI=3.8424 Eg=1.206 Cje=1e-11 Vje=0.75 Mje=0.33 TF=1e-09 XTF=1 VTF=10 ITF=0.01 Cjc=1e-11 Vjc=0.75
+ Mjc=0.33 XCJC=0.9 Fc=0.5 Cjs=0 Vjs=0.75 Mjs=0.5 TR=1e-07 PTF=0 KF=0 AF=1)
*
.end

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@ -36,7 +36,7 @@ plot dc3.vs2#branch vs2#branch
+ VTO=4 KP=15
+ Lambda=3m $ will be reset by altermod to original 2m
+ Mtriode=0.4
+ subslope=120m
+ Ksubthres=120m
+ subshift=160m
+ Rs=5m Rd=10m Rds=200e6
+ Cgdmax=9000p Cgdmin=300p A=0.25

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@ -1,25 +0,0 @@
Capacitance and current comparison between models d and bulk diode in vdmos
D1 ad kd dio
.model dio d TT=1371n IS=2.13E-08 N=1.564 RS=0.0038 m=0.548 Vj=0.1 Cjo=3200pF
Va ad 0 DC 0.5 AC 1 $ DC -20
Vk kd 0 0
m1 d g s IXTP6N100D2
.MODEL IXTP6N100D2 VDMOS(KP=2.9 RS=0.1 RD=1.3 RG=1 VTO=-2.7 LAMBDA=0.03 CGDMAX=3000p CGDMIN=2p CGS=2915p a=1 TT=1371n IS=2.13E-08 N=1.564 RB=0.0038 m=0.548 Vj=0.1 Cjo=3200pF ksubthres=0.1 subslope=43m subshift=-25m)
Vd d 0 DC -0.5 AC 1 $ DC 20
Vg g 0 -5 $ transistor is off
Vs s 0 0
.ac dec 10 1 100K
.control
save @d1[id] @m1[id] all
run
plot mag(i(Vs)) mag (i(Vk))
plot ph(i(Vs)) ph(i(Vk))
.endc
.end

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@ -3,25 +3,27 @@ Capacitance and current comparison between models d and bulk diode in vdmos
D1 ad kd dio
.model dio d TT=1371n IS=2.13E-08 N=1.564 RS=0.0038 m=0.548 Vj=0.1 Cjo=3200pF
Va ad 0 dc 0 pwl(0 -2 2.5 0.5)
Va ad 0 ac 1 dc 0.5 pwl(0 -2 2.5 0.5)
Vk kd 0 0
m1 d g s IXTP6N100D2
.MODEL IXTP6N100D2 VDMOS(KP=2.9 RS=0.1 RD=1.3 RG=1 VTO=-2.7 LAMBDA=0.03 CGDMAX=3000p CGDMIN=2p CGS=2915p a=1 TT=1371n IS=2.13E-08 N=1.564 RB=0.0038 m=0.548 Vj=0.1 Cjo=3200pF ksubthres=0.1)
Vd d 0 dc 0 pwl(0 2 2.5 -0.5)
Vd d 0 ac 1 dc -0.5 pwl(0 2 2.5 -0.5)
Vg g 0 -5 $ transistor is off
Vs s 0 0
.tran 10m 2.5
.control
save @d1[cd] @m1[cds] all
run
save all @d1[id] @m1[id] @d1[cd] @m1[cds] all
tran 10m 2.5
plot abs(i(Vk)) abs(i(Vs)) ylog
plot @d1[cd] @m1[cds]
*plot abs(i(Vk)) - abs(i(Vs))
*plot @d1[cd] - @m1[cds]
ac dec 10 1 100K
plot mag(i(Vs)) mag (i(Vk))
plot ph(i(Vs)) ph(i(Vk))
.endc
.end

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@ -0,0 +1,56 @@
crss coss ciss
*
VP1 P1 0 PULSE(0 1.15m 100n 10n 10n 1 2)
VP2 P4 0 PULSE(0 2.8m 100n 10n 10n 1 2)
*
M1 d1 g1 0 IRFP240
V1 g1 0 0.0
V2 1 d1 0.0
G1 0 1 P1 0 1.04
*
M2 d2 0 d2 IRFP240
V3 2 d2 0.0
G2 0 2 P4 0 1.1
*
M3 d3 g3 0 IRFP9240
V4 g3 0 0.0
V5 3 d3 0.0
G3 3 0 P1 0 0.85
e1 d1p 0 d3 0 -1
*
M4 d4 0 d4 IRFP9240
V6 4 d4 0.0
G4 4 0 P4 0 1.0
e2 d2p 0 d4 0 -1
*
.control
tran 1n 25u
*plot v(d1) v(d2) v(d3) v(d4)
plot 'i(v1)/deriv(v(d1))' 'i(v2)/deriv(v(d1))' vs v(d1) xlog xlimit 1 100 ylimit 0 3n title "IRFP240 crss & coss"
plot 'i(v3)/deriv(v(d2))' vs v(d2) xlog xlimit 1 100 ylimit 0 3n title "IRFP240 ciss"
plot 'i(v4)/deriv(v(d3))' 'i(v5)/deriv(v(d3))' vs v(d1p) xlog xlimit 1 100 ylimit 0 3n title "IRFP9240 crss & coss"
plot 'i(v6)/deriv(v(d4))' vs v(d2p) xlog xlimit 1 100 ylimit 0 3n title "IRFP9240 ciss"
.endc
.model IRFP240 VDMOS nchan
+ Vto=4 Kp=5.9 Lambda=.001 Theta=0.015 ksubthres=.27
+ Rd=61m Rs=18m Rg=3 Rds=1e7
+ Cgdmax=2.45n Cgdmin=10p a=0.3 Cgs=1.2n
+ Is=60p N=1.1 Rb=14m XTI=3
+ Cjo=1.5n Vj=0.8 m=0.5
+ tcvth=0.0065 MU=-1.27 texp0=1.5
*+ Rthjc=1.8k Cthj=1e-3
+ mtriode=0.8
.model IRFP9240 VDMOS pchan
+ Vto=-4 Kp=8.8 Lambda=.003 Theta=0.08 ksubthres=.35
+ Rd=180m Rs=50m Rg=3 Rds=1e7
+ Cgdmax=1.25n Cgdmin=50p a=0.23 Cgs=1.15n
+ Is=150p N=1.3 Rb=16m XTI=2
+ Cjo=1.3n Vj=0.8 m=0.5
+ tcvth=0.004 MU=-1.27 texp0=1.5
*+ Rthjc=1.8k Cthj=1e-3
+ mtriode=0.6
.end

43
examples/vdmos/dcdc.sp Normal file
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Simple regulated DCDC step-up converter
V1 clock 0 PULSE(0 6 0 19u 1u 10n 20.01u)
V2 ref 0 2.5
R1 OUT outdiv 100K
R2 0 outdiv 27k
R3 outdiv x 10k
C2 err x 50n
B1 err 0 V = max(0,min(5,V(ref,x)*10k))
B2 gate 0 V = max(0,min(5,V(err,clock)*1k))
V3 +V 0 5.0
L1 +V lx 220u
RL lx out1 125m
M1 out1 gate 0 IRF510
D1 out1 OUT MBRS340
C1 OUT cx 33u
RC cx 0 50m
R4 out2 OUT R = (time<12ms ? {Rload} : time<20ms ? {Rload/2} : {2*Rload})
V4 out2 0 0.0
.param Rload=100
.model IRF510 VDMOS nchan
+ Vto=3.6 Kp=1.3 Lambda=.001 Theta=0.07 ksubthres=.1
+ Rg=3 Rd=200m Rs=54m Rds=1e7
+ Cgdmax=.2n Cgdmin=.05n a=0.3 Cgs=.12n
+ Is=17p N=1.1 Rb=80m XTI=3
+ Cjo=.25n Vj=0.8 m=0.5
+ tcvth=0.007 MU=-1.27 texp0=1.5
.model MBRS340 D(Is=22.6u Rs=.042 N=1.094 Cjo=480p M=.61 Eg=.69 Xti=2)
.control
listing e
option method=gear
tran 10n 30m 0 5n
* write dcdc.raw
plot v(err) v(clock) v(gate) v(out)
plot -i(V3) i(V4) ylimit 0 1
rusage all
.endc
.end

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@ -1,20 +1,22 @@
*****************==== Inverter ====*******************
*********** VDMOS ****************************
vdd 1 0 5
vss 4 0 0
.subckt inv out in vdd vss
mp1 out in vdd p1
mn1 out in vss n1
.ends
xinv 3 2 1 0 inv
xinv 3 2 1 4 inv
Vin 2 0 Pulse (0 5 10n 10n 10n 140n 300n)
.tran 1n 1u
Vin 2 0 DC 0 Pulse (0 5 10n 10n 10n 140n 300n)
.control
run
dc Vin 0 5 0.05
* current and output in a single plot
plot v(2) v(3) vss#branch
tran 1n 1u
* current and output in a single plot
plot v(2) v(3)
.endc

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@ -1,25 +0,0 @@
*****************==== Inverter ====*******************
*********** VDMOS inverter dc ****************************
vdd 1 0 5
vss 4 0 0
.subckt inv out in vdd vss
mp1 out in vdd p1
mn1 out in vss n1
.ends
xinv 3 2 1 4 inv
Vin 2 0 0
.dc Vin 0 5 0.05
.control
run
* current and output in a single plot
plot v(2) v(3) vss#branch
.endc
.model N1 vdmos cgdmin=0.2p cgdmax=1p a=2 cgs=0.5p rg=5k
.model P1 vdmos cgdmin=0.2p cgdmax=1p a=2 cgs=0.5p rg=5k pchan
.end

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@ -18,8 +18,8 @@ xinv7 9 8 1 0 inv
xinv8 10 9 1 0 inv
xinv9 2 10 1 0 inv
.model N1 vdmos cgdmin=0.05p cgdmax=0.2p a=1.2 cgs=0.15p rg=10 kp=2e-5 rb=1e7 cjo=1n subslope=0.2
.model P1 vdmos cgdmin=0.05p cgdmax=0.2p a=1.2 cgs=0.15p rg=10 kp=2e-5 rb=1e7 cjo=1n pchan subslope=0.2
.model N1 vdmos cgdmin=0.05p cgdmax=0.2p a=1.2 cgs=0.15p rg=10 kp=2e-5 rb=1e7 cjo=1n ksubthres=0.2
.model P1 vdmos cgdmin=0.05p cgdmax=0.2p a=1.2 cgs=0.15p rg=10 kp=2e-5 rb=1e7 cjo=1n pchan ksubthres=0.2
.tran 0.1n 1u

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@ -0,0 +1,24 @@
VDMOS self heating test
M1 D G 0 t tc IRFP240 tnodeout
rthk tc 0 0.05
VG G 0 5V Pulse 0 10 0 1m 1m 100m 200m
*RD D D1 4
VD D 0 2V
.model IRFP240 VDMOS nchan
+ Vto=4 Kp=5.9 Lambda=.001 Theta=0.015 ksubthres=.27
+ Rd=61m Rs=18m Rg=3 Rds=1e7
+ Cgdmax=2.45n Cgdmin=10p a=0.3 Cgs=1.2n
+ Is=60p N=1.1 Rb=14m XTI=3
+ Cjo=1.5n Vj=0.8 m=0.5
+ tcvth=0.0065 MU=-1.27 texp0=1.5
+ Rthjc=0.02 Cthj=1e-3 Rthca=100
+ mtriode=0.8
.control
dc vd 0.1 50 .1 vg 5 13 2
plot -i(vd)
settype temperature v(t) v(tc)
plot v(t) v(tc)
*tran 1m 0.01
*plot v(d) v(g)
.endc
.end

40
examples/vdmos/soa_chk.sp Normal file
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@ -0,0 +1,40 @@
VDMOS SOA check
.model IRFP240 VDMOS nchan
+ Vto=4 Kp=5.9 Lambda=.001 Theta=0.015 ksubthres=.27
+ Rd=61m Rs=18m Rg=3 Rds=1e7
+ Cgdmax=2.45n Cgdmin=10p a=0.3 Cgs=1.2n
+ Is=60p N=1.1 Rb=14m Cjo=1.5n XTI=3
+ tcvth=0.0065 MU=-1.27 texp0=1.5
+ mtriode=0.8
+ Vgs_max=20 Vgd_max=20 Vds_max=200
vd1 d1 0 dc 0.1
vg1 g1 0 dc 0.0
vs1 s1 0 dc 0.0
m1 d1 g1 s1 IRFP240
.model IRFP9240 VDMOS pchan
+ Vto=-4 Kp=8.8 Lambda=.003 Theta=0.08 ksubthres=.35
+ Rd=180m Rs=50m Rg=3 Rds=1e7
+ Cgdmax=1.25n Cgdmin=50p a=0.23 Cgs=1.15n
+ Is=150p N=1.3 Rb=16m Cjo=1.3n XTI=2
+ tcvth=0.004 MU=-1.27 texp0=1.5
+ mtriode=0.6
+ Vgs_max=20 Vgd_max=20 Vds_max=200
vd2 0 d2 dc 0.1
vg2 0 g2 dc 0.0
vs2 0 s2 dc 0.0
m2 d2 g2 s2 IRFP9240
.options warn=1 maxwarns=6
.control
dc vd1 -1 210 1 vg1 5 25 5
plot -i(vd1)
dc vd2 -1 210 1 vg2 5 25 5
plot i(vd2)
.endc
.end

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@ -1,18 +0,0 @@
VDMOS output
m1 d g s n1
*.model n1 vdmos rb=0.05 is=10n kp=2 bv=12 rd=0.1
.model N1 vdmos vto=1 cgdmin=0.05p cgdmax=0.2p a=1.2 cgs=0.15p rg=10 kp=2e-4 rb=1e4 is=1e-9 bv=12 cjo=1p subslope=0.1
vd d 0 1
vg g 0 1
vs s 0 0
.control
dc vd -2 15 0.05 vg 0 5 1
plot vs#branch
dc vg 0 5 0.05 vd 0.5 2.5 0.5
plot vs#branch ylog
.endc
.end

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@ -2,17 +2,17 @@ VDMOS output
m1 d g s IRFZ48Z
.model IRFZ48Z VDMOS (Rg = 1.77 Vto=4 Rd=1.85m Rs=0.0m Rb=3.75m Kp=25 Cgdmax=2.1n Cgdmin=0.05n Cgs=1.8n Cjo=0.55n Is=2.5p tt=20n mfg=International_Rectifier Vds=55 Ron=8.6m Qg=43n)
.model IRFZ48Z VDMOS (Rg = 1.77 Vto=4 Rd=1.85m Rs=0.0m Rb=3.75m Kp=25 Cgdmax=2.1n Cgdmin=0.05n Cgs=1.8n Cjo=0.55n Is=2.5p tt=20n ksubthres=0.1 mfg=International_Rectifier Vds=55 Ron=8.6m Qg=43n)
vd d 0 1
vg g 0 1
vs s 0 0
.dc vd -1 15 0.05 vg 3 7 1
.control
run
dc vd -1 15 0.05 vg 3 7 1
plot vs#branch
dc vg 2 7 0.05 vd 0.5 2.5 0.5
plot vs#branch ylog
.endc
.end