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A generator operating at 50 Hz delivers 1 pu power to an infinite bus through a transmission circuit in which resistance is ignored. A fault takes place reducing the maximum power transferable to 0.5 pu, whereas before the fault, this power was 2 pu.

What is the initial load angle?

  • A.0.523 rad
  • B.0.632 rad
  • C.0.732 rad
  • D.0.832 rad

Answer: A

The power transferred is \(P_e = P_{max}\sin\delta\). Before the fault \(P_{max} = 2\) pu and the load is 1 pu.


\[ \begin{aligned} \sin\delta_0 = \frac{1}{2} \Rightarrow \delta_0 \\ &= 30^\circ = \frac{\pi}{6} = 0.5236\ \text{rad} \end{aligned} \]


The fault reduces the limit to 0.5 pu, which is what sets the swing afterwards, but the initial angle only depends on the pre fault values. The other options are larger angles of 36, 42 and 48 degrees. The answer is 0.523 rad, option A.

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