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Cascaded Hybrid Multi-level Inverter for Selective Harmonics Elimination


This paper aimed at the prospect of an optimized algorithm for Selective Harmonic Elimination (SHE) through a hybrid control mechanism using fmincon and Newton–Raphson iterative method. In search of minimizing the Total Harmonic Distortion (THD), appropriate multi-level sequences and firing angles are used. This technique not only reduces the execution time but also improves the convergence rate. MATLAB simulations confirm that the algorithm is robust and the desired response is achieved within a few iterations for any range of modulation index. PSpice simulation verifies the successful removal of harmonics and confirms THD lies within limits specified by IEEE 519 standard. The implementation of this SHEPWM algorithm will improve the working of cascaded multi-level inverters by increasing their efficiency rate with respect to their speed.

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Selective Harmonics Elimination


Improved Newton–Raphson


Pulse width modulation


Power electronics


Particle swarm optimization


Differential evaluation


Quadratic programming


Fast Fourier transform




Total harmonics distortions


Cascaded multilevel inverter




Genetic algorithm


Modulation index


Sequential quadratic programming


Piecewise linear


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Correspondence to Muhammad Yaqoob Javed.

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Rahman, H., Javed, M.Y., Saleem, Y. et al. Cascaded Hybrid Multi-level Inverter for Selective Harmonics Elimination. Iran J Sci Technol Trans Electr Eng 42, 135–148 (2018).

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  • Cascaded multi-level inverters (CMI)
  • Selective Harmonic Elimination (SHE)
  • fmincon
  • Newton–Raphson (NR)
  • Harmonics
  • PSpice