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Problem 3: Sinusoidal PWM or Six-Step Control of three-phase DC-AC Inverter (45 Points) Design a three-phase inverter circuit for a solid oxide fuel cell, whose output voltage changes from 400 Vdc to 600 Vdc. Sinusoidal PWM (SPWM) A. If sinusoidal PWM is used to control the inverter, to obtain a three-phase 240 Vac (line- line RMS value) at 60 Hz, what is the inverters modulation index (ma) range? (5points) B. Based on part A: Assume the fuel cells output voltage is fixed at 500 Vdc. Using a switching frequency fs 10 kHz, simulate the circuit in MATLAB/Simulink or PSIM and answer the following: (i) (ii) (i Provide a screenshot of your circuit schematic. (3 points) Plot the inverters line-line open-circuit output voltage vAB. (5 points) Plot the harmonic spectrum (FFT) of your line-line open-circuit output voltage. Determine the total harmonic distortion as a percentage of the fundamental frequency voltage (%THD). (7 points) Six Step Control C. If instead, a six-step control is used for the three-phase inverter, determine the output voltage range of the inverter (line-line RMS value). (5 points) D. Based on part C: Assuming the fuel cells output voltage is fixed at 500 Vdc, and the fundamental frequency of the output voltage is f 60Hz, simulate the circuit in MATLAB/Simulink or PSIM and answer the following questions

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