TY - JOUR KW - cascade multilevel inverter KW - total harmonic distortion KW - optimization KW - genetic algorithm KW - Newton-Raphson KW - particle swarm optimization AV - public N2 - Currently, multilevel inverters have been increased the number of applications in the industrial sector and renewable energy sources. Among its characteristics, the most remarkable are modular design, high performance, and low harmonic distortion in the output voltage waveform. For this paper, a single-phase Cascade H-Bridge Multilevel Inverters (CHB-MLI or CMLI) topology with independent DC sources, has been selected for the case study. Analyzing three scenarios: 5-level, 7-level, and 9-level applying the concept of the Optimized Harmonic Stepped-Waveform (OHSW) and comparing the results between the Selective Harmonic Eliminated-Pulse Width Modulation (SHE-PWM) and the Optimal Minimization of the Total Harmonic Distortion (OMTHD) are also presented. To compare the results obtained with classical and nature-inspired optimization methods, three techniques are used to solve transcendental nonlinear equations for the problem of Total Harmonic Distortion (THD) minimization: Newton Raphson (NR), Genetic Algorithm (GA), and Particle Swarm Optimization (PSO), which have been widely used for the problems of THD minimization in multilevel inverters. VL - 22 ID - uninimx2233 IS - 4-5 Y1 - 2020/// SN - 21033641 SP - 349 EP - 355 TI - Calculation of Optimal Switching Angles for a Multilevel Inverter Using NR, PSO, and GA- a Comparison UR - http://doi.org/10.18280/ejee.224-506 JF - European Journal of Electrical Engineering A1 - Marín-Reyes, Manuel A1 - Aguayo-Alquicira, Jesus A1 - De León Aldaco, Susana Estefany ER -