Transient analysis of magnetodynamic systems using Fourier transform and frequency sensitivity

This paper presents a new efficient method for transient state analysis in magnetodynamic systems of linear eddy current problems. This method employs the Fourier transform and the high-order frequency sensitivity of harmonic finite element method. By taking into account the time-constant of magneto dynamic system, the Fourier integral of continuous frequency is converted i nto the Fourier series of discrete frequency. And with the results of Fouri er series expansion of converted input waveform, the responses of each sinu soid are superposed to give the total response of the magnetodynamic system , But, if the frequency band of input waveform is broad, it takes long comp utational time since all responses for each sinusoid must be calculated. Th erefore, the high-order frequency sensitivity method is employed to estimat e the response variation to frequency. The proposed algorithm is applied to an induction heating system to validate its numerical efficiency.