a)The voltage and the current of a circuit arev=1∠30oV and i=2∠-37oA. Determine the powerfactor.
b)A short transmission line is delivering a 3-phase load of 1MVAat 11kV and the load power factor is 0.8 lagging. The total seriesimpedance of the line is (10 + j20)Ω/phase. Calculate the sendingend 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 EnergyCharge is $0.6 per kWh. A factory has a load of average 200kW. Itoperates at a monthly load factor of 0.75 and a power factor of0.85 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 11kVcommon busbar. The generator G1 is rated at 15MVA, 11kV withX=0.10pu and the generator G2 is rated at 10MVA, 11kV withX=0.10pu. The 11kV busbar feeds an 11/66kV, 15MVA, X=0.06pu step-uptransformer. Calculate the fault current when a three phase faultoccurs on the high voltage side of the transformer. Select 15MVA asthe base power.
