# Answer to Question #207660 in Electrical Engineering for Tumelo

Question #207660

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

(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

Stations.

(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)

1
2021-06-17T07:37:27-0400

1.1

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

1.2

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'

1.3

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