2. Introduction to Chaos Theory and Electric Drive Systems

  1. K. T. Chau1 and
  2. Zheng Wang2

Published Online: 22 MAR 2011

DOI: 10.1002/9780470826355.ch2

Chaos in Electric Drive Systems: Analysis, Control and Application

Chaos in Electric Drive Systems: Analysis, Control and Application

How to Cite

Chau, K. T. and Wang, Z. (2011) Introduction to Chaos Theory and Electric Drive Systems, in Chaos in Electric Drive Systems: Analysis, Control and Application, John Wiley & Sons (Asia) Pte Ltd, Singapore. doi: 10.1002/9780470826355.ch2

Author Information

  1. 1

    The University of Hong Kong, Hong Kong, China

  2. 2

    Southeast University, China

Publication History

  1. Published Online: 22 MAR 2011
  2. Published Print: 30 MAR 2011

ISBN Information

Print ISBN: 9780470826331

Online ISBN: 9780470826355

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Keywords:

  • chaos theory;
  • electric drive systems

Summary

This chapter discusses the basic theory of chaos and some fundamentals of electric drive systems. Basic theory of chaos describes some of the basic principles, including the concept of dynamical systems, discrete maps, limit sets, attractors, stability, and manifolds. The criteria of chaos are then illustrated using the Lyapunov exponents, fractal dimensions, and entropy. Hence, bifurcations and routes to chaos are also discussed. The electrical part consists of the subsystems of electric motor, power converter, electronic controller, and sensor, whereas the mechanical part includes the subsystems of mechanical transmission and mechanical load. The boundary between the electrical and mechanical parts is the air-gap of the motor, where electromechanical energy conversion takes place. The electronic controller can be further divided into two functional units: interface circuitry and processor.

Controlled Vocabulary Terms

chaos generators; electric drives