Selective Harmonic Elimination PWM Technique Based on Higher Order Sliding Modes: Generalized Formulation

This article pioneers a novel selective harmonic elimination (SHE) technique employing second-order sliding mode control. Unlike conventional methods, the proposed method leverages second-order sliding mode control to tackle the nonlinear equations of SHE, yielding smooth switching angles devoid of chattering. Theoretical analysis, including detailed derivations of controller parameters ensuring convergence, is presented. The algorithm has minimal computational burden, making it both simple to implement and robust in achieving convergence for any given modulation index (Mi). Simulation results, conducted in MATLAB/Simulink, and corresponding hardware outcomes from a field programmable gate array (FPGA)-based experimental prototype in the laboratory validate the efficacy of the proposed algorithm. The proposed algorithm achieves the computation of switching angles in under
$1.5~\mu \text{s}$
for a configuration involving five switchings per quarter.