A Generalized Formulation of Quarter-Wave Symmetry SHE-PWM Problems for Multilevel Inverters

By Wanmin Fei, Xinbo Ruan, Bin Wu. IEEE transactions on power electronics, 2009

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Unified Selective Harmonic Elimination for Multilevel Converters (2017, methodology): “According to the formulas used in [14]–[17], each switching pattern has a different SHE equations.”
Application of the Bee Algorithm for Selective Harmonic Elimination Strategy in Multilevel Inverters (2012, background): “The first of them is using various switching strategies, such as sinusoidal or “subharmonic” natural pulsewidth modulation (SPWM), selective harmonic elimination PWM (SHEPWM), space-vector modulation (SVM), optimized harmonic-stepped waveform (OHSW) [7], [8], and optimal minimization of THD (OMTHD) ”
Selective Harmonic Elimination With Groebner Bases and Symmetric Polynomials (2016, methodology): “method for getting initial values based on the rule of equality of area and superposition of the center of gravity of the PWM section with the sine reference signal is proposed in [19] and [20].”
(2N+1) Selective Harmonic Elimination-PWM for Modular Multilevel Converters: A Generalized Formulation and A Circulating Current Control Method (2018, methodology): “Furthermore, the sign of every term at (3) depends on the sign of its corresponding step in va0 , as it is given by (4) [44].”
A Groebner Bases Theory-Based Method for Selective Harmonic Elimination (2015, methodology): “For the multilevel inverter with balanced dc sources, the expression of bn is as follows [6]:”