For the power system in the fig. below the magnitudes of the sending and receiving end voltages are 1pu. The related loads are: S1 = 6 + j10 and S2 = 14 + j8 The generation to the busbars are rated: 10 + j15 at bus 1 and 10 + j3 at bus 2

For the power system in the fig. below the magnitudes of the sending and

receiving end voltages are 1pu. The related loads are:

S₁ = 6 + j10 and S₂ = 14 + j8

The generation to the busbars are rated:

10 + j15 at bus 1 and 10 + j3 at bus 2. The impedance of the line is j0.05pu. The

active power at each end of the busbar is 10 pu. Calculate the following:

 Load angle, Sending end voltage ,Reactive power at the sending end ,

Reactive power at the receiving end ,Total reactive power in the transmission line , Load at bus 1 , Power factor at bus 1 ,Load at bus 2 ,

and Power factor at bus 2.