A triangle connected, round rotor synchronous generator with Xs= 15 Ohm, Ra=0 works in parallel with a network with 400 V interphase voltage and gives only P= 62700 W active power. Find the amplitude of the induced internal electromotive force "Ef" and how many degrees the charge angle is. (It will be assumed that the generator is not overloaded, magnetically linear, no saturation, mechanical losses are neglected, and the armature internal resistance Ra is neglected.) (three digits after the comma

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A triangle connected, round rotor synchronous generator with Xs= 15 Ohm, Ra=0 works in parallel with a network with 400 V interphase voltage and gives only P= 62700 W active power. Find the amplitude of the induced internal electromotive force "Ef" and how many degrees the charge angle is.

(It will be assumed that the generator is not overloaded, magnetically linear, no saturation, mechanical losses are neglected, and the armature internal resistance Ra is neglected.)

(three digits after the comma.)

Expert Solution
Step 1

Given information about a triangle connected (delta connected) synchronous generator is:

Synchronous reactance Xs=15 Ohm.

Armature resistance is Ra=0 Ohm.

Terminal voltage given Vt=400 Volt (interphase value of voltage or voltage between two phases or line value of voltage).

So the phase value of terminal voltage will be Vtph=400 Volt (since triangle connected generator)

Since no information about power factor is given so we are assuming as unity power factor.

Hence power factor is cosφ=1 and also we can write sinφ=0.

The active power is given as P=62700 W.

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