A three-phase 50Hz, 500MVA 15kV generator has an inertia constant of 2pu/s. a) For a given...

A three-phase 50Hz, 500MVA 15kV generator has an inertia constant of 2pu/s.
a) For a given power system the initial load angle is δ0 and the change in
momentum is M. Following a small disturbance the load angle increases
to δ1. If the accelerating power associated with disturbance is Pa deduce
an equation that expresses δ1 in terms of M, Pa δ0 and time, t.
b) Calculate the
i. Synchronous speed
ii. Change in momentum
c) Initially the mechanical and electrical power delivered equal 1 pu and the
load angle is 10⁰. Calculate the
i. Maximum electrical power
ii. Accelerating power
d) A fault occurs which reduces the electrical power to zero. Calculate the
i. accelerating power
ii. power load angle after 0.05s

Expert Solution

Manojponduru answered 2 years ago

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