Chapter 3

The d–q Equations of a Synchronous Machine

3.1    Introduction

The winding function approach to inductance computation of Chapter 1 combined with the concept of a three dimensional Cartesian space of Chapter 2 forms the essential building blocks for the analysis of any AC electrical machine. It is now time to put these concepts to work by developing the model of a synchronous machine, the so-called Park’s model.

3.2    Physical Description

A synchronous machine consists essentially of two elements, first an element to produce a rotating magnetic field and a second element to couple with the field and rotate relative to the first and thereby produce electromechanical energy conversion. For constructional reasons the first element, which ...

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