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Two 3-phase synchronous generators, 1 and 2, supply a substation through separat

ID: 1930842 • Letter: T

Question

Two 3-phase synchronous generators, 1 and 2, supply a substation through
separate lines 1 and 2, respectively. The load at the sub-station may be
represented by a fixed impedance load of 8 +j 1 ? per phase.
Generator 1: 10 MVA, 11 kV, X1s=1.6 per unit on a base using
generator A's rated voltage and power
Generator 2: 20 MVA, 11 kV, X2s=1.2 per unit on a base using
generator B's rated voltage and power
Impedance of Line 1: Z1= 0+ j3.2 ? per phase
Impedance of Line 2: Z2= 0+ j2.4 ? per phase
For the operating condition where the line-to-line generators' internal emf are
E1f= 14 kV and E2f= 16 kV, and E2f leads E1f by 6o , find the line currents (in
Amps) and complex power (in MVA) delivered to the load by generators 1 and
2, respectively.

Explanation / Answer

For the operating condition where the line-to-line generators' internal emf are E1f = 14 kV and E2f = 16 kV, and E2f leads E1f complex power (in MVA) delivered to the load by generators 1 and 2, respectively. Work with a single-phase equivalent circuit model and perform your calculations using E1f as the reference phasor. In= 16.9KAmps S = 236MW+j9.52MVar

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