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What is the formula for the active power in the cylindrical rotor synchronous machine? (Eb represents armature emf, Vt represents terminal voltage, δ represents rotor angle, X represents reactance)

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What is the formula for the active power in the cylindrical rotor synchronous machine? (Eb represents armature emf, Vt represents terminal voltage, δ represents rotor angle, X represents reactance)

(a) Eb×Vt×sinδ÷X

(b) Eb×Vt^2×sinδ÷X

(c) Eb^2×Vt×sinδ÷X

(d) Eb×Vt×sinδ÷X2

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This intriguing question originated from Dynamics topic in chapter Dynamics of Electrical Drives of Electric Drives

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Right option is (a) Eb×Vt×sinδ÷X

For explanation: The real power in the cylindrical rotor machine is Eb×Vt×sinδ÷X. It is inversely proportional to the reactance. The stability of the machine is decided by the maximum power transfer capability.

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