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Exact Analytical Solution of the Currents of a Three-phase Six-Step Inverter / Three-Phase Induction Motor System

Journal of Electrical Engineering • 2021
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Publication Information
Authors Ibrahim A. M. Abdel-Halim; Mahmoud A. Al-Ahmer; Ahmed M. Hassan
Keywords Analytical solution, voltage-source inverter, induction motor, steady-state analysis.
Journal Journal of Electrical Engineering
Publisher Journal of Electrical Engineering
Volume 21
Issue 2
Pages 1582-4594
publication.type International
Paper Link Open Link
Supplementary Materials Not Available
Abstract
In this paper analytical solutions of the currents when a three-phase, six-step voltage-source inverter (VSI) is feeding an induction motor (IM), are presented. Explicit analytical expressions of the steady-state current of the motor
and of the input current of the inverter and of its switching elements are derived instead of using numerical solution
methods. To check the validity of the presented analytical solutions, the results obtained of the motor currents and of the currents of the switching elements of the inverter were compared with previously published results, and the two sets of results were found to be identical.