A Complete Online Solution of Harmonic Elimination PWM Method Using Modified-Equilibrium Optimizer-Levenberg- Marquardt Algorithm

This paper proposes a novel online solution, i.e. Modified-Equilibrium Optimizer-Levenberg-Marquardt (M-EO-LM) algorithm, for the symmetric and asymmetric harmonic elimination pulse width modulation (HEPWM) methods of modular multilevel cascaded converters. A detailed comparison proposed M-EO-LM algorithm with nine state-of-the-art algorithms is also presented twenty-nine unimodal, multimodal composite benchmark test functions. has proven its effectiveness by outperforming these algorithms. EO first introduced solution HEPWM method. Its several depicts superiority; but it gets stuck in local minima. Modified-EO (M-EO) solves problem enhancing exploration ability, then attached to rapid calculus-based LM method form algorithm. initiates process solving equations angles ( $N=9$ notation="LaTeX">$0.78\leq M\leq 6.86$ ) offline only two iterations, depicting remarkable convergence ability. Solution are divided into groups, serving as search space between nearest level based on output voltage THD values provided report maximum number solvable complete solution. These notation="LaTeX">$N=8$ M< 5.18$ solved using Comparing computational times differential evolution-Newton Raphson proves behavior validated through simulation real-time experimental results.