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A four pole, Y-connected synchronous generator rated at 200 kVA, 4.62 kV, 0.82 lagging, and 50...

A four pole, Y-connected synchronous generator rated at 200 kVA, 4.62 kV, 0.82 lagging, and 50 Hz has an armature resistance of 0.97 ohms, a synchronous reactance of 8.7 ohms, core loss of 12.3 kW, and friction+windage loss of 13.9 kW.

a. find the mechanical speed of the shaft.

b. find the rated current, expressing the answer in polar form.

c. compute the internally-generated voltage, expressing the answer in polar form.

d. find the input power without neglecting the armature resistance.

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Answer #1

2 S = √3 VL IL IL $ - mugnitude of VB VL current Il (loo kun ) √3x 4.62kv 2008108 V3X4.62X108 = 24.9935 IL 25 A un phare form9-3476 2816.5294 line voltage £ L generat rated phase voltage in polar form generated internal I (11) √3 x [lph) i V3 x 2816.Pautoss 38.0.97% 252 | 318.73 Punless 1.818.7kw 12.3 kw perpose loss Pfwloss a 13.9 kW Pin= 169kw +1-8187 kw a 12.3 kwt 13.9k

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