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### Electronics Mathematical Modeling Handbook

Electrical, Instrumentation, Electronic Design and Engineering

Electronics Mathematical Modeling Handbook
Planning Research Corporation
Jet Propulsion Laboratory
Kenneth O. King
Kenneth Gillet
William Libaw
149 Pages

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Introduction

This document contains nonlinear mathematical models for a number of electronic components. These models were developed for use with the TAG computer program for static and dynamic circuit analysis. Components modeled herein are the diode,transistor, zener diode, tunnel diode, controlled rectifier, junction field-effect-transistor, and saturating inductor.

In developing each model, consideration of device physics and of numerical circuit analysis have been omitted in the interest of simplicity and brevity. Rather, attention has been concentrated on describing the model and its performance and on evaluating model parameters. This should permit the user to "build" models of particular components and to understand how his models will perform. FORTRAN programs for some of the more widely used components are provided.

This present version of the modeling handbook does not attack certain important modeling problems. These include problems of model accuracy and suitability to different types of circuits, problems of parameter interdependence, temperature dependence and distribution, computer computation of model parameters from device measurement or specifications. As computer analysis of circuits grows in importance and use, these and other modeling problems should be studied and solved.

TOC

I. INTRODUCTION ....................................... i-i
II. DIODE MODELS ....................................... 2-1
A. Model Descriptions ............................ 2-1
B. Model Performance ............................. 2-16
C. Parameter Evaluation .......................... 2-25
D. Diode Subroutine .............................. 2-31
III. TRANSISTOR MODELS .................................. 3-1
A. Model Description ............................. 3-1
B. Model Performance ............................. 3-4
C. Parameter Evaluation .......................... 3-24
D. Transistor Subroutine ......................... 3-33
IV. ZENER DIODE MODEL .................................. 4-1
A. Model Description ............................. 4-1
B. Model Performance ............................. 4-2
C. Parameter Evaluation .......................... 4-4
D. Zener Diode Subroutine ........................ 4-5
V. TUNNEL DIODE MODEL ................................. 5-1
A. Model Description ............................. 5-1
B. Model Performance ............................. 5-2
C. Parameter Evaluation .......................... 5-4
VI. CONTROLLED RECTIFIER MODEL ......................... 6-1
A. Model Description ............................. 6-1
B. Model Performance ............................. 6-5
C. Parameter Evaluation .......................... 6-28
VII. P-CHANNEL JUNCTION FIELD EFFECT
TRANSISTOR MODEL ................................... 7-1
A. Model Description ............................. 7-1
B. Model Performance ............................. 7-4
C. Parameter Evaluation .......................... 7-7
VIII. N-CHANNEL JUNCTION FIELD EFFECT TRANSISTOR
MODEL .............................................. 8-1
IX. NON-LINEAR INDUCTOR MODEL
A. Model Descziption
B. Model Performance
C. Parameter Evaluation
D. Non-Linear Inductor Subroutine