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Q#1 Load Flow Analysis GATE EE 2023 MCQ +2 marks -0.66 marks

The three-bus power system shown in the figure has one alternator connected to bus 2 which supplies 200 MW and 40 MVAr power. Bus 3 is infinite bus having a voltage of magnitude  p.u. and angle of . A variable current source,  is connected at bus 1 and controlled such that the magnitude of the bus 1 voltage is maintained at

1.05 p.u. and the phase angle of the source current, , where  is the phase angle of the bus 1 voltage. The three buses can be categorized for load flow analysis as

Bus 1 Slack Bus

Bus  Bus

Bus  Bus

Bus  Bus

Bus  Bus

Bus  Bus

Bus 3 Slack Bus

Bus  Bus

Bus  Bus

Bus 3 Slack Bus

Bus  Bus

Bus 3 Slack Bus

Explanation:

Since voltage magnitude is given at bus 1 & angle of current source

∴ Phase shift b/w V & I across current source =

∴ P = 0, Hence Bus – 1 is PV bus

Bus-2 has real & reactive power specified ∴ it can be characterized as PQ bus.

Bus-3 has voltage magnitude & phase angle specified

∴ It can be characterized as slack bus.

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