A synchronous generator is to be connected to an infinite bus through a transmission line of reactance X = 0.2pu, as shown in Figure, the generator data is as follows:

x’ = 0.1pu, E’=1.0pu, H = 5MJ/MVA, mechanical power rad/sec.

All quantities are expressed on a common base.

The generator is initially running on open circuit with the frequency of the open circuit voltage slightly  higher than that of the infinite bus. If at the instant of switch closure δ = 0 and , compute the maximum value of  so that the generator pulls into synchronism.

Hint:  Use the equation