In: Electrical Engineering
a)The voltage and the current of a circuit are v=1∠30oV and i=2∠-37oA. Determine the power factor.
b)A short transmission line is delivering a 3-phase load of 1MVA at 11kV and the load power factor is 0.8 lagging. The total series impedance of the line is (10 + j20)Ω/phase. Calculate the sending end power factor.
c)A supply company offers a Two-parts Tariff on a monthly basis. The Maximum Demand Charge is $90 per kVA per month and the Energy Charge is $0.6 per kWh. A factory has a load of average 200kW. It operates at a monthly load factor of 0.75 and a power factor of 0.85 lagging. Assume the factory works 400 hours per month, determine the electricity charge.
d)Two generators G1 and G2 are connected in parallel to an 11kV common busbar. The generator G1 is rated at 15MVA, 11kV with X=0.10pu and the generator G2 is rated at 10MVA, 11kV with X=0.10pu. The 11kV busbar feeds an 11/66kV, 15MVA, X=0.06pu step-up transformer. Calculate the fault current when a three phase fault occurs on the high voltage side of the transformer. Select 15MVA as the base power.