A three-phase inverter is supplying the output load of 100kW, 0.95 p.f. lagging with 400VLL.rm and fundamental frequency f = 50Hz. The output voltage THD must be limited to 3%. (a) Calculate the values of output load resistance and inductance. (b) Design the DC-link voltage Va, frequency modulation index m, and amplitude modulation index. (c) Design a simple LC low-pass filter using the following assumption: Filter resonant frequency wn=1/LC = 2n(m/f)/10 Filter reactive power at fundamental frequency f is 5% of load apparent power, Qe = 0.055 Load Design suitable values of RLF and RCF. (d) Use parameters obtained from (a)-(c) to simulate the circuit in MATLAB/Simulink. (e) Plot the voltage waveforms before and after filter, load current waveform and DC-side current waveform. (f) plot the voltage harmonic before and after filter. (g) Calculate the output power, the output voltage THD using FFT tool.