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The selective harmonic elimination pulse width modulation (SHEPWM) technique with current source inverters is one of the most effective techniques used to reduce low order harmonics in high power medium-voltage (MV) drive applications. In this paper, we employ a novel SHEPWM technique to run single, two parallel, and four parallel current source inverters with different values of modulation index (MI). This technique is straightforward to implement, is cost effective and efficient in terms of the reduction of total harmonic distortion (THD) of the load output currents. The calculation of the low order harmonics amplitude and the THD of all these schemes is simulated with MATLAB and verified with PSpice.