Traced curves of a Siemens sample measuring 103%:
Pentode curves:
Spice Model
Here’s the model fit using Derk’s tool:
And the triode and pentode models. They can be downloaded here: D3a-Triode , D3a-Pentode-100V
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.SUBCKT D3a-Pentode-100V 1 2 3 4 ; A G2 G1 C;
* Extract V3.000
* Model created: 10-Jun-2020
*
* Curves traced and model developed by Ale Moglia
* (c) 2020 Bartola Valves
* www.bartola.co.uk/valves email: [email protected]
*
*
X1 1 2 3 4 PenthodeDE MU= 77.9 EX=1.433 kG1= 25.7 KP= 587.2 kVB = 2940.0 kG2= 106.5
+ Ookg1mOokG2=.29E-01 Aokg1=.13E-04 alkg1palskg2=.29E-01 be= .049 als= 2.57 RGI=2000
+ CCG1=6.8P CCG2 = 0.0p CPG1 = 0.04p CG1G2 = 9.5p CCP=0.05P ;
.ENDS
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.SUBCKT PenthodeDE 1 2 3 4; A G2 G1 C
*
* NOTE: LOG(x) is base e LOG or natural logarithm.
* For some Spice versions, e.g. MicroCap, this has to be changed to LN(x).
*
RE1 7 0 1MEG ; DUMMY SO NODE 7 HAS 2 CONNECTIONS
E1 7 0 VALUE=
+{V(2,4)/KP*LOG(1+EXP(KP*(1/MU+V(3,4)/SQRT(KVB+V(2,4)*V(2,4)))))}
E2 8 0 VALUE = {Ookg1mOokG2 + Aokg1*V(1,4) – alkg1palskg2*Exp(-be*V(1,4)*SQRT(be*V(1,4)))}
G1 1 4 VALUE = {0.5*(PWR(V(7),EX)+PWRS(V(7),EX))*V(8)}
G2 2 4 VALUE = {0.5*(PWR(V(7),EX)+PWRS(V(7),EX))/KG2 *(1+als*Exp(-be*V(1,4) * SQRT(be*V(1,4))))}
RCP 1 4 1G ; FOR CONVERGENCE A – C
C1 3 4 {CCG1} ; CATHODE-GRID 1 C – G1
C4 2 4 {CCG2} ; CATHODE-GRID 2 C – G2
C5 2 3 {CG1G2} ; GRID 1 -GRID 2 G1 – G2
C2 1 3 {CPG1} ; GRID 1-PLATE G1 – A
C3 1 4 {CCP} ; CATHODE-PLATE A – C
R1 3 5 {RGI} ; FOR GRID CURRENT G1 – 5
D3 5 4 DX ; FOR GRID CURRENT 5 – C
.MODEL DX D(IS=1N RS=1 CJO=10PF TT=1N)
.ENDS PenthodeDE
And triode:
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.SUBCKT D3a-Triode 1 2 3; A G C;
* Extract V3.000
* Model created: 10-Jun-2020
*
*
* Curves traced and model developed by Ale Moglia
* (c) 2020 Bartola Valves
* www.bartola.co.uk/valves email: [email protected]
*
*
X1 1 2 3 TriodeK MU= 77.92 EX=1.515 KG1= 25.7 KP= 587.2 KVB= 2940. RGI=2000
+ CCG=6.7P CGP=3.3P CCP=1.0P ;
.ENDS****************************************************
.SUBCKT TriodeK 1 2 3; A G C
*
* NOTE: LOG(x) is base e LOG or natural logarithm.
* For some Spice versions, e.g. MicroCap, this has to be changed to LN(x).
*
E1 7 0 VALUE=
+{V(1,3)/KP*LOG(1+EXP(KP*(1/MU+V(2,3)/SQRT(KVB+V(1,3)*V(1,3)))))}
RE1 7 0 1G
G1 1 3 VALUE={0.5*(PWR(V(7),EX)+PWRS(V(7),EX))/KG1}
RCP 1 3 1G ; TO AVOID FLOATING NODES IN MU-FOLLOWER
C1 2 3 {CCG} ; CATHODE-GRID
C2 2 1 {CGP} ; GRID-PLATE
C3 1 3 {CCP} ; CATHODE-PLATE
D3 5 3 DX ; FOR GRID CURRENT
R1 2 5 {RGI} ; FOR GRID CURRENT
.MODEL DX D(IS=1N RS=1 CJO=10PF TT=1N)
.ENDS TriodeK