Consider a power system with two buses and two lines. One of these lines has a reactance of 0.25 p.u. and the other a reactance of 0.40 p.u. The series resistances and shunt susceptances of the lines are negligible. A generator at one of the buses maintains its terminal voltage at nominal value and produces power that is consumed by a load connected to the other bus. Using a power flow program, calculate the maximum active power that can be transferred without causing a voltage collapse when one of the lines is suddenly taken out of service under the following conditions:

a. The load has unity power factor and there is no reactive power injection at the receiving end. b. The load has unity power factor and a synchronous condenser injects 25 MVAr at the receiving end. c. The load has a 0.9 power factor lagging and there is no reactive power injection at the receiving end.