A13.8 kv industrial distribution system employs large six-pulse adjustable-speed machine drives is considered for passive harmonic filtering. the system parameters are: a. the system has a 20 mw, 15 mvar heating and lighting loads with an aggregated machine-drive load of 10 mw at 0.80 lagging net power factor. the system is supplied via a 30 mva transformer with 5% impedance. b. c. the harmonic currents produced by the load, as percentage of the fundamental current 10 % 7th component of the nonlinear load, are 15% 5th harmonic component. harmonic component, and 7% 11th harmonic component. at no-load, the utility side of the transformer has a 5th harmonic distortion of 0.8% of the fundamental and 7th harmonic distortion of 0.4% of the fundamental. d. the design objectives of the filter are: the 5th, 7th, and 11'h harmonics are considered for attenuation by means of single-tuned filters; one at each harmonic. higher order harmonics are not significant. each filter is a grounded-wye lc-series tuned filter. the power factor should be corrected to 0.96 lagging with harmonic filters. a. b. a stair-step rule should be used to dedicate the kvar for multiple filters. in the present problem, for every 4 units of kvars committed for the 5th harmonic filter, 2 units are committed to the 7th harmonic filter, and 1 unit for the 11th harmonic filter. verify your design using a simple matlab/simulink model by representing the nonlinear loads by current injection sources for the given harmonics.