HIGH-ORDER FREQUENCY SENSITIVITY FOR NONSINUSOIDAL STEADY-STATE ANALYSIS IN LINEAR MAGNETODYNAMICS

A number of electromagnetic devices periodically driven by solid-state switches have been analyzed with time-stepping finite element method, which requires much time to reach a steady state, the sensitivity ana lysts which have been used for the shape design is employed for an eff icient analysis of linear magnetodynamics with nonsinusoidal driving s ources. The high-order frequency sensitivity from the time-harmonic fi nite element formulation is used along with Fourier transform and Tayl or series expansion. The algorithm is validated through two numerical examples of a single-phase transformer iind an induction heating syste m driven by a trapezoidal voltage source.