Chapter List

Part Overview

This book is about the systematic application of the switching function technique for the analysis of power electronic circuits. The switching function method of analysis is based on the derivation of the voltage-current expressions of a switched circuit covering all modes into a single expression, a 'unified expression'. A 'unified expression' is the result of applying the superposition theorem in order to combine the expressions of all modes of the circuit into one expression with time varying parameters.

Once this is done the Kirchoff's laws can be applied. In applying this technique a procedure has evolved together with a number of properties of the switching function itself. These are reported in Chapter 1. The application of Kirchoff's laws and the Superposition Theorem in these circuits is discussed in Chapter 2 together with voltage-current relationships of switched-electric elements. Chapter 3 is a presentation of the application of the switching function technique to produce pulse width modulation (PWM) signals. A sine-wave, a rectified sine and a composite waveform are presented.

The switching function is bidirectional. State 1 (or -1) implies that the input is connected to the output and current can flow in either direction. Hence care must be taken in cases where the actual circuit cannot allow this bidirectional flow of current as is the case of single thyristors and diodes. The switching function mathematical model must...