Mathematical Models of AC Machines

  1. John Chiasson

Published Online: 27 JAN 2005

DOI: 10.1002/0471722359.ch6

Modeling and High-Performance Control of Electric Machines

Modeling and High-Performance Control of Electric Machines

How to Cite

Chiasson, J. (2005) Mathematical Models of AC Machines, in Modeling and High-Performance Control of Electric Machines, John Wiley & Sons, Inc., Hoboken, NJ, USA. doi: 10.1002/0471722359.ch6

Publication History

  1. Published Online: 27 JAN 2005
  2. Published Print: 18 MAR 2005

ISBN Information

Print ISBN: 9780471684497

Online ISBN: 9780471722359

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Keywords:

  • mathematical model of a two phase induction motor;
  • mathematical model of a two phase synchronous machine;
  • leakage;
  • squirrel cage;
  • Coenergy

Summary

This chapter derives the systems of differential equations that mathematically model a two phase induction and synchronous machines. The concept of leakage is presented and accounted for in the derived models. These models are the accepted models used throughout the literature and form the basis for high performance control of these machines.

It is shown in an optional section that from the physics point of view, the induction and synchronous machines operate in a similar fashion in steady-state.

The chapter ends with another optional section on the concept of field energy, coenergy and how the expression for the torque can be derived using these notions.