# A 3- phase, 50 Hz, 415 V, Synchronous machine operates at rated voltage and at a leading power factor of 0.95. Shaft power is 35 KW and the excitation emf is 440 V.

A 3- phase, 50 Hz, 415 V, Synchronous machine operates at rated voltage and at a leading power factor of 0.95. Shaft power is 35 KW and the excitation emf is 440 V. If the per phase reactance is 1.5 pu. (i) Find the mechanical power delivered by the motor, including all losses? (ii) if for the same load on the motor, the excitation is reduced to generate an emf of 100%, what would be the input KVA? (iii) With its excitation emf adjusted to 1.3 pu, the alternator delivers an output of 0.75 pu.(including all losses)?(iv) Find the excitation voltage, load angle and the power factor?(v) Determine the load angle, armature current in per unit? (vi) With alternator output remaining constant, the alternator excitation is improved by 15%, find the new value of armature current, load angle and power deliver to bus?

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