Hybrid trigonometric differential evolution for optimizing harmonic distribution

In this paper, we present a new algorithm for pushing the first crest of the surplus harmonics backwards, ameliorating the amplitude frequency spectrum distribution of the output waveform, and thus reducing the impact of surplus harmonics in programmed pulse-width modulation (PWM). The problem is first formulated as a constrained optimization problem and then a trigonometric differential evolution (TDE) algorithm is applied to solve it. An eigensolve algorithm is also incorporated into TDE to improve its efficiency and robustness. The simulation results demonstrate that the proposed algorithm outperforms the conventional genetic algorithm and is robust for a variety of application requirements.