Selective Harmonic Elimination PWM Inverter Simulation

This simulation focuses on selective harmonic elimination (SHE) techniques for pulse width modulation (PWM) inverters, implemented through computational algorithms that target specific harmonic components in the output waveform. The core implementation typically involves Newton-Raphson iterative methods to solve transcendental equations that determine optimal switching angles, minimizing lower-order harmonics while maintaining fundamental component control. Key implementation aspects include Fourier series decomposition to identify harmonic amplitudes, constrained optimization algorithms to calculate switching instants, and real-time PWM signal generation using carrier-based or space vector modulation techniques. The simulation environment employs mathematical modeling of power electronic switches (IGBTs/MOSFETs) with dead-time compensation and uses FFT analysis to quantify total harmonic distortion (THD) reduction. Typical code structure involves initializing switching angle arrays, implementing harmonic equations as nonlinear constraints, and using numerical solvers like fsolve() in MATLAB to achieve harmonic elimination targets. The simulation validates performance through spectral analysis and waveform quality assessment, providing crucial insights for optimizing power electronic system efficiency and compliance with harmonic standards such as IEEE-519.