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Q#1 Synchronous Machines GATE EE 2024 MCQ +2 marks -0.66 marks

A 3-phase, 11kV, 10 MVA synchronous generator is connected to an inductive load of power factor  via a lossless line with a per-phase inductive reactance of . The per-phase synchronous reactance of the generator is  with negligible armature resistance. If the generator is producing the rated current at the rated voltage, then the power factor at the terminal of the generator is

0.63 lagging

0.87 lagging

0.63 leading

0.87 leading

Explanation:

The reactance of Lossless Line is,

Load pf angle

Generator Terminal Voltage,

Load Current,

Assume receiving end voltage as reference,

By KVL,

Since the line is lossless, power at sending end i.e. generator terminals must be same as load power

Sending end pf,

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