Title: Matrix analysis techniques in cage induction machines

Authors: David G. Dorrell

Addresses: School of Mechanical, Electrical and Mechatronic Systems, University of Technology Sydney Broadway, Sydney, NSW 2007, Australia

Abstract: Modern analysis techniques for electrical machines are either analytical or use finite element analysis. Both methods are implemented using computational techniques to solve the magnetic circuit and produce performance predictions. This paper puts forward a steady-state impedance matrix method for analysing a split-phase induction machine that is at the leading edge of analytical modelling of induction motors. The method is implemented and verified against an example to illustrate the asynchronous torques in a non-sinusoidal winding. In the second half of the paper it is shown how the technique can be applied to a three-phase machine and the classical per-phase model is obtained from the derivation. The steady-state model derives a mathematical rigorous equivalent circuit that includes the skew reactance term in the rotor circuit.

Keywords: split phase induction motors; three-phase induction motors; impedance matrix; matrix analysis; asynchronous torques; non-sinusoidal winding; skew reactance.

DOI: 10.1504/IJCAT.2009.027854

International Journal of Computer Applications in Technology, 2009 Vol.36 No.2, pp.69 - 76

Published online: 13 Aug 2009 *

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