Computer methods for analyzing analog circuits. Theory and application

The manual is devoted to the methods of analysis of linear and nonlinear electronic circuits. It consists of two parts. In the first the authors introduce the student into the theory and algorithms of analysis of electronic circuits. They discuss the methods of modeling electronic components, creating circuit descriptions, sensitivity analysis and solving non-linear problems and dynamic circuits in the field of time. In the second part, they present specific examples of applications of all these methods and algorithms. The theoretical considerations are illustrated by numerical examples.
The book is intended for students of electronics, electrical engineering, telecommunications, automation and computer science at technical universities.

Table of Contents

Preface
List of the most important markings
List of symbols

PART I. Theory

1. Models of electronic components

1.1. Introduction
1.2. Diode models
1.3. Models of bipolar transistors
1.4. Models of MOS transistors
1.5. Model of operational amplifier

2. Structural matrices

2.1. Introduction
2.2. Incidence matrix
2.3. The matrix of fundamental sections
2.4. Fundamental loop matrix
2.5. Relationships between structural matrices

3. Description of systems using the node voltage method

3.1. Introduction
3.2. Analysis of linear resistance circuits using the node voltage method
3.3. Analysis of nonlinear resistive circuits using the node voltage method
3.4. Modified nodal method
3.5. Analysis of dynamic circuits modified by the node method
3.6. Analysis of linear sinusoidal circuits using the node voltage method

4. Description of systems using the array method

5. Formulating a hybrid description

5.1. Introduction
5.2. A hybrid description of a circuit containing two nonlinear resistors
5.3. A hybrid description of a circuit containing n non-linear resistors
5.4. Description of diode-transistor circuits

6. Description of dynamic systems using the state equation method

6.1. Introduction
6.2. Formulation of linear circuit state equations
6.3. Formulating simple state equations of nonlinear circuits
6.4. A systematic method of formulating the description of dynamic circuits

7. Sensitivity analysis

7.1. Introduction
7.2. Sensitivity system analysis
7.3. Method analysis attached

8. Solving equations describing linear resistive circuits

8.1. Introduction
8.2. Gaussian elimination method
8.3. Variants of the Gaussian elimination method

9. Analysis of segment-linear circuits with many solutions

9.1. Introduction
9.2. Combinatorial method
9.3. The method of successive narrowing, division and elimination

10. Relaxation methods

10.1. Introduction
10.2. Successive method
10.3. The Gauss-Seidel method

11. The Newton-Raphson method

11.1. Introduction
11.2. The Newton-Raphson method - a general case
11.3. The problem of excess and free convergence
11.4. Iterated models
11.5. A segment-linear version of the Newton-Raphson method

12. Homotopy method

12.1. Introduction
12.2. Homotopy with a natural parameter
12.3. Homotopy with an artificial parameter

13. Numerical analysis of dynamic circuits

13.1. Linear one-step methods
13.2. Theoretical basis of linear multi-step methods
13.3. Discrete models of capacitors and coils

PART II. Usage

14. Analysis of a two-stage transistor amplifier

15. Line-linear analysis of a transistor circuit

16. Analytical and graphical determination of input-output characteristics

nonlinear system

17. Determination of the transient characteristics of the Schmitt trigger

18. Determining all DC solutions and characteristics

transitional in trigger systems

19. Constant-current and low-signal analysis of the transistor preamplifier

20. Constant current and sensitivity analysis of a temperature switch

21. DC analysis of inverters made in CMOS technology

22. Analysis of bistable multivibrator

23. Time analysis of a sinusoidal voltage generator with a Wiena bridge

24. Analysis and synthesis of the oscillator described by the Van der Pol equation

25. Frequency and time analysis of bandpass filter

26. Frequency and time analysis of the tone controller

27. Study of dynamic states and sensitivity in the field of amplifier time

input

Literature

Index