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(14 points) A 3-phase, 9250 kVA, 13.4 kV, 6-pole, Y-connected, 50 Hz, synchronou

ID: 2082213 • Letter: #

Question

(14 points) A 3-phase, 9250 kVA, 13.4 kV, 6-pole, Y-connected, 50 Hz, synchronous machine has negligible mechanical and electrical losses. The OC/SC test yields the following result: Values of r 2 167 194 Vi (OC) 12.6 13.4 kViine. la (SC) 388.0000 446.0000 line The following is the per-phase model for the open circuit test shown as a motor jXs Vt RPM A. During the OC/SC test, the speed of the machine is B. The synchronous reactance Xa C. Determine the parameters in the per-phase equivalent circuit for OPEN CIRCUIT test At: I 167A The equivalent source voltage Ef 0 kV The equivalent terminal voltage Vi kV

Explanation / Answer

A) Speed of the machine during OC SC Test is given by Ns=120*f/P = 120*50/6=1000 rpm

B) Zs = Xs = Voc / Isc = 13400 / 446 = 30.04 ohm (Ra is assumed to be negligible)