Power Converters and AC Electrical Drives with Linear Neural Networks

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Review of Basic Concepts: Space-Vector Analysis

1.1 Introduction

The development of any control system requires the knowledge of the mathematical model describing it. As for electric machines, before the 1950s, only sinusoidal steady-state models were used [1–3]. In these models, the rotating speed is assumed constant, while the voltage or the current supply is sinusoidally time varying. Afterward, dynamic models have been developed, particularly for AC machines [4–6]. These models permit the analysis of the motor behavior during both steady-state and transients with any time-varying waveform of the supply voltage or current. Thus dynamic models have been playing a key role in properly designing control systems of electric drives so ...