Two Port Network Transistor Configuration Conversions (h-Parameter Conversions)
03-22-2019, 01:17 PM
Post: #1 Eddie W. Shore Senior Member Posts: 1,319 Joined: Dec 2013
Two Port Network Transistor Configuration Conversions (h-Parameter Conversions)
Introduction

The program TRCONV converts h-parameter matrices for the following configurations of two-port networks:

* Common Base Transistor Configuration (CB)
* Common Emitter Transistor Configuration (CE)
* Common Collector Transistor Configuration (CC)

The h-parameter matrix, also known as a hybrid parameter, is a 2 x 2 matrix representation of a two port network.

H = [ [ h11, h12 ] , [ h21, h22 ] ] where:

[ [ V1 ], [ I2 ] ] = = [ [ h11, h12 ] , [ h21, h22 ] ] * [ [ I1 ], [ V2 ] ]

The h-parameter matrix takes into account the short circuit condition (h11, h22) and the open circuit condition (h12, h21) in the two port network.

The dimensions of the entries are:

h11: input impedance, in ohms (Ω)
h12: reverse voltage gain, dimensionless
h21: forward current gain, dimensionless
h22: output admittance, in seimens or mhos (1/Ω)

The resulting matrix from TRCONV is known as a y-parameter matrix.

HP Prime Program TRCONV

Code:
EXPORT TRCONV() BEGIN // 2019-03-10 // HP 67 LOCAL h11,h12,h21,h22; LOCAL y11,y12,y21,y22; LOCAL w1,w2,w3,w4,w5; LOCAL t,l; l:={"CE→CB","CB→CE","CC→CB", "CB→CC","CC→CE","CE→CC"}; INPUT( {{h11,[,]}, {h12,[,]}, {h21,[,]}, {h22,[,]}, {t,l}}, "TRANSISTOR CONVERSION", {"h11: ","h12: ","h21: ", "h22: ","Type:"} ); y11:=1/h11; y12:=−h12/h11; y21:=h21/h11; y22:=(h11*h22-h12*h21)/h11; MSGBOX([[y11,y12],[y21,y22]]); w1:=y11+y12+y21+y22; w2:=−(y12+y22); w3:=−(y21+y22); w4:=−(y11+y12); w5:=−(y11+y21); IF t==1 OR t==2 THEN RETURN [[w1,w2],[w3,y11]]; END; IF t==3 THEN RETURN [[y22,w3],[w2,w1]]; END; IF t==4 THEN RETURN [[w1,w5],[w4,y11]]; END; IF t==5 OR t==6 THEN RETURN [[y11,w4],[w5,w1]]; END; END;

Example:

H = [ [ 150, 0.003 ], [ 68, 0.007 ] ]

CE → CB: [ [ 0.46562, -0.00562 ], [ -0.458973333333, 6.666666667E-3 ] ]

CC → CE: [ [ 6.666666667E-3, -6.646666667E-3 ], [ -0.46, 0.46562 ] ]

[conversion example]

Source:

"5. Transistors Configuration Conversion" HP 67-97 E.E. Pac I. Hewlett Packard. 1976

"h Parameter or Hybrid Parameter of Two Port Network" Electrical Concepts. 2019
https://electricalbaba.com/h-parameter-h...t-network/
Retrieved March 21, 2019

Blog Spot: https://edspi31415.blogspot.com/2019/03/...istor.html
03-22-2019, 09:17 PM
Post: #2 KeithB Senior Member Posts: 320 Joined: Jan 2017
RE: Two Port Network Transistor Configuration Conversions (h-Parameter Conversions)
Thanks Eddie.
But I believe h-parameters and y-parameters are only of academic interest now. It is either SPICE models or S-parameters.

(People into noise calculations might still use y-parameters, so I may be off-base here)
03-23-2019, 02:47 PM
Post: #3 Eddie W. Shore Senior Member Posts: 1,319 Joined: Dec 2013
RE: Two Port Network Transistor Configuration Conversions (h-Parameter Conversions)
Good to know Keith, thank you.
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