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Q. A balanced electrical industrial plant load of 9.8 MW with 0.8 lagging power factor is supplied by a three-phase 60-Hz system having a maximum rating (load-carrying capacity) of 660 A at 11 kV (line-to-line voltage).
(a) Determine the apparent power and the reactive power drawn by the load.
(b) Additional equipment, consisting of a load of 1.5 MW and 0.7 MVAR lagging, is to be installed in the plant. Compute the minimum rating in MVA of the power factor correction capacitor that must be installed if the rating of the line is not to be exceeded. Find the system power factor.
(c) If the capacitor, consisting of three equal sections, is connected in delta across the supply lines, calculate the capacitance required in each section.
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Let ω = 2π × 60 rad/s corresponding to a frequency of 60 Hz. (a) Consider v(t) = 100 √2 cos(ωt + 30°) V and i(t) = 10 √2 sin(ωt + 30°) A. Find the corresponding phasors ¯V and ¯
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