Analytic analysis of single- and three-phase induction motors

The analysis of single and multiphase induction motors continues to represent a challenge to researchers in computational electromagnetics due to the presence of r/spl Omega//spl times/B electric fields. This contribution cannot be inserted into the Green's function for boundary element codes; finite difference and finite element approaches are forced to hard code these effects, compensating at high speeds with upwinding techniques. The direct computation of these affects using transfer relations in a linear environment offers an analytical backdrop both for benchmark testing numerical codes and for design assessment criteria. In addition to torque-speed predictions, the terminal relations and total power dissipation in the rotor are computed for an exposed winding three-phase and single-phase machine.