Matrix analysis techniques in cage induction machines

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.