Harmonic Modeling of Hysteresis Inverters in Frequency Domain

This letter derives a closed-form analytical approximation of the output harmonic spectrum of a single-phase two-level inverter under the action of hysteresis current control. The analytical approach consists of first describing the error current as a triangular signal of variable duty cycle and frequency, and subsequently, deriving the Fourier transform of the complex envelope of the modulated triangular signal. The spectrum of the error current is given in terms of Bessel functions of the first kind. MATLAB/Simulink results on a half-bridge inverter are presented in this letter to demonstrate the validity and accuracy of the proposed model.