Symbolic analysis with Mathematica in power electronics and electromechanical systems

Mathematica 5.0 software is used to develop a first-principles analysis of an induction machine represented by a planar layered structure subject to a sinusoidal current sheet excitation. A brief review is also given of mathematical application to problems in both power electronic and electric machine systems. The program presented is capable of calculating the time-harmonic steady-state magnetic field, current density, ohmic loss, and torque-speed curve for an n-layered structure. When it is used to optimize both two- and three-layer rotor structures, the program shows that the smaller the air gap, the better the performance of the design.