Friday, March 22, 2019

HP Prime: Two Port Network Transistor Configuration Conversions (h-Parameter Conversions)

HP Prime: 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

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,[[0],[3]]},
{h12,[[0],[3]]},
{h21,[[0],[3]]},
{h22,[[0],[3]]},
{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 ] ]



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-hybrid-parameter-two-port-network/  Retrieved March 21, 2019


Eddie

All original content copyright, © 2011-2019.  Edward Shore.   Unauthorized use and/or unauthorized distribution for commercial purposes without express and written permission from the author is strictly prohibited.  This blog entry may be distributed for noncommercial purposes, provided that full credit is given to the author.

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