*Article* **A Novel RPWN Selective Harmonic Elimination Method for Single-Phase Inverter**

**Guohua Li 1,2,\*, Chunwu Liu 1, Zhenfang Fu 1 and Yufeng Wang 1**


Received: 30 December 2019; Accepted: 12 March 2020; Published: 16 March 2020

**Abstract:** In the existing random pule width modulation (RPWM) selective harmonic elimination methods, the formula of switching cycle *T* N+1 is complex, and the duty ratio *D* N+1 of the next switching cycle needs to be calculated in advance. However, in the case of unknown *T* N+1, *D* N+1 is also di fficult to calculate accurately, and the two parameters are based on each other. A novel selective harmonic elimination method in RPWM is proposed in this paper. The PWM voltage pulse is placed at the back of the switch cycle, which simplifies the formula of the switch cycle *T* N+1 and eliminates the need to calculate the duty ratio *D* N+1. Two kinds of RPWM selective harmonic elimination ideas are summarized. The general formulas of the switch cycle, the e ffective random number *k*, and the upper and lower limits of switch frequency corresponding to *k* are derived. The spectrum shaping of inverter output voltage can be realized without using digital filter in this method. Simple algorithm, small calculation and easy implementation are characteristics of the proposed method. The simulation and experimental results confirm the ability of the proposed method for reducing harmonics at the specific frequency in power spectral density (PSD).

**Keywords:** harmonic; RPWM; selective voltage harmonic elimination; single-phase inverter
