Total Harmonic Distortion Minimization of Multilevel Converters Using Genetic Algorithms

Abstract

This paper presents a genetic algorithm (GA) optimization technique to find the optimum switching angles of 11-level inverter with minimum number of dc sources and switches in comparison with the cascade multilevel inverter in order to minimize the total harmonic distortion (THD) of their output voltage waveform. Theoretical and simulation results for an 11-level converter show the efficiency of the proposed algorithm to determine the optimum angles in order to decrease the undesired harmonics and produce very high quality output voltage waveform.

Metaheuristic Optimization Methods Applied to Power Converters: A Review

“…Reference [53] describes a GA approach to minimize the THD for the whole range of the modulation index in a three phase 11-level inverter, taking the switching angles as decision variables. For comparison purposes, the switching angles were first calculated using a NR based method.…”

Fault‐tolerant modular multilevel converter for a seamless transition between stand‐alone and grid‐connected microgrid

“…The THD is employed as a performance indicator for the output voltage and current to determine the model's merit. $$TH{D}_v$$ and $$TH{D}_i$$ can be calculated by Equations () and (), respectively [11, 48]. $$$$\begin{equation}TH{D}_v = \ \frac{{\sqrt {V_2^2 + V_3^2 + V_4^2 + \cdots + V_n^2} }}{{{V}_1}}\frac{{\sqrt {\mathop \sum \nolimits_{n\ = \ 3,5,7, \ldots }^n V_n^2} }}{{{V}_1}}\end{equation}$$$$ $$$$\begin{equation}TH{D}_i = \ \ \frac{{\sqrt {I_2^2 + I_3^2 + \cdots + I_n^2} }}{{{I}_1}} = \frac{{\sqrt {\mathop \sum \nolimits_{n = 3,5}^n I_n^2} }}{{{I}_1}}\ \end{equation}$$$$…”

“…The THD is employed as a performance indicator for the output voltage and current to determine the model's merit. THD v and THD i can be calculated by Equations ( 11) and (12), respectively [11,48].…”

Power Loss Calculation in 11-Level Cascaded H-Bridge Inverter using Harmony Search Optimized Switching Scheme

“…Some methods involving optimization of switching angles for providing gating pulse to different switches of multilevel inverter are proposed which help in reducing the power losses to a greater extent, as the switching frequency is reduced significantly. Optimizing switching angles require use of some optimization algorithm, like Particle Swarming Optimization (PSO) [11]- [13], Genetic Algorithm (GA) [14], [15], BAT Inspired Algorithm, Evolution Algorithm, etc.…”