Study of parameters of a tripler using the finite element method of harmonic balance

In this paper, a new harmonic balance analysis approach based on the finite element method (HBFEM) is used to calculate the equivalent leakage reactance and the core loss in a magnetic frequency tripler. The HBFEM presented can be used to analyze harmonic magnetic field for time periodic magnetic field with B ∼ H curve described by any high order polynomial. Consequently, the current and flux density waveforms include many harmonic terms caused by saturation. An equivalent leakage reactance model of magnetic frequency tripler is presented based on the harmonic terms. The resulted harmonic-rich flux density waveforms are used to calculate core losses and equivalent leakage reactance. Simulation results are compared with experiment results and it is shown that the approach and model are correct and practical.