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This paper proposes an optimization method for solving nonlinear equations of both selective harmonic elimination PWM and staircase fundamental switching waveforms. The proposed method finds all set of solutions irrespective of the switching angle numbers. The proposed optimization method is based on Mathematica Optimization Toolbox. The suggested method can overcome the drawbacks associated with harmonic elimination problems. In contrast to the results reported in previous works, the approach here produces all possible solutions without computational and human efforts.