Chapter 2

Reference Frame Theory

2.1    Introduction

The subject of electric machinery involves essentially the study of circuits in relative motion. Unfortunately, the analysis of AC machines becomes involved at an early stage due to the nature of the numerous coupled magnetic circuits. Historically, this difficulty was overcome only in 1929 by R. H. Park, who formulated equations of transformation (Park’s transformation) from actual stator currents and voltages to different, equivalent currents and voltages. Prior to this time only steady-state phasor diagrams or very simplified models involving second or third order differential equations had been used to describe synchronous machine behavior. The differential equations describing behavior ...

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