Matrix analysis techniques in cage induction machines

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.

Predicting the behavior of induction machine using motor-CAD and MATLAB packages

“…This paper will investigate how to design a three-phase, four-pole induction machine handled by Motor-CAD, and then modeling the electromagnetic performance of the machine. On the other hand, the impedance matrix technique including all coupling and mutual impedances in [4,12] will be used in modeling and analysis of the same induction machine. It is not easy to obtain this impedance matrix using hand calculations, so it is reasonable to use MATLAB for calculations.…”