Marouchos C.C. The Switching Function Analysis of Power Electronic Circuits

The Institution of Engineering and Technology.
First Publixhed 2006.
Reprinted with new cower 2008.
310 p.This book is about the switching function, a technique employed to analyse power electronic circuits. The mathematical models of generic circuits of power electronics are derived by applying a procedure suggested in this book. The analysis that follows gives expressions for the voltage and current at any point of the circuit; usually the output voltage, output current and input current are derived. In ac to dc converters the input current is distorted. This method of analysis gives frequency spectra, power factor and distortion figures, usually displayed for a range of operating conditions such as the firing angle. In dc to dc converters the output ripple voltage might be
of some interest and the expression derived in this book is used to calculate its rms value. Frequency changers are also analysed and the current in each semiconductor switch is derived together with the ripple current at the input. The latter is useful in order to choose the appropriate capacitor which might be taking this current as is the case of a dc link inverter. The complexity of the matrix converter makes the application of this technique for their analysis very attractive. The current at each branch is clearly defined as a function of time by introducing appropriate switching functions for each switch. The ability of this technique to give exact expressions of the current in each semiconductor device in the circuit enables the circuit designer to collect all the relevant data to set the ratings of the device such as rms, average and peak values of voltage and current. The order of the voltage and current harmonics at any point in the circuit is derived with simple arithmetic.