Two power stations, A and B, work at 88 kV and deliver power to their separate
consumers as follows:
Power station B: 540 MVA at a power factor of 0.809 lagging
Power station A: 480 MVA at a power factor of 0.8387 lagging
An inter-connector with an impedance of Z = 7.25∠820 ohms per line joins power
station A with power station B. The voltage at A is advanced with an angle of 7.80
with respect to the voltage of B.
1.1 Use the complex power method and calculate the active power and reactive power
received and transferred.
(144.885 MW; - 10.3855 MVAr; 142.135 MW; - 29.9525 MVAr)
1.2 Write down the final distribution of active and reactive power between the tvo power
(A sends 547.447 MW and sends 251.041 MVA'r ; B receives 579.0045 MW and receives 287.451 MVA'r)
1.3 Calculate the final power factor at the generators of each power station.
(0.909 lagging ; 0.8957 lagging)
At power station A
Complex power at station A
Active power = 387.412 MW
Reactive power = 10.3835
At power station B
Active power = 142.135 MW
Reactive power = 29.9525
From the above calculations, A sends 547.447 MW and sends 251.041 MVA'r ; B receives 579.0045 MW and receives 287.451 MVA'