GATE EE 2021 Set 1 — Question 29

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NAT+1 / -0MediumSynchronizing Power & Power AngleSynchronous MachinesElectrical MachinesPower Flow EquationsPer-Unit System & Load FlowPower Systems

Electrical Machines → Per-Unit System & Load Flow → Power Flow Equations

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Question

An alternator with internal voltage of 1δ11 \angle \delta_1 p.u and synchronous reactance of 0.40.4 p.u is connected by a transmission line of reactance 0.10.1 p.u to a synchronous motor having synchronous reactance 0.350.35 p.u and internal voltage of 0.85δ20.85 \angle \delta_2 p.u. If the real power supplied by the alternator is 0.8660.866 p.u, then (δ1δ2)(\delta_1 - \delta_2) is ______ degrees. (Round off to 2 decimal places.)
(Machines are of non-salient type. Neglect resistances.)
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