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This paper considers the problem of designing a multilevel pulse widthmodulated waveform (PWM) with a prescribed harmonic content. Multilevel PWMdesign plays a major role in many diverse engineering disciplines. In powerelectronics, multilevel PWM design corresponds to determining the inverterswitching times and levels for selective harmonic elimination and harmoniccompensation. In mechatronics, the same design corresponds to shaping inputsignals to damp residual vibrations in flexible structures. More generally, inmost applications, the aim of PWM design is to minimize the total harmonicdistortion while adhering to a prescribed harmonic content. The solutionapproach presented in this paper is based on linear programming with theobjective of minimizing the total harmonic distortion. This objective isachieved within an arbitrarily small bound of the optimal solution. Inaddition, the linear programming formulation makes the design of such switchingwaveforms computationally tractable and efficient. Simulations are provided forcorroboration.

A linear programming approach for designing multilevel PWM waveforms