February 2019
Intermediate
504 pages
18h 11m
English
Content preview from Dynamics and Control of Electric Transmission and Microgrids
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AEqual Area Criterion
This is a direct method to check the stability of a synchronous generator (connected to an infinite bus) that is subjected to disturbance(s). The method does not require the solution of the nonlinear equation. The assumptions in applying the equal area criterion (EAC) are:
- classical machine model described by the swing equation
- rotor damping is neglected.
The application of the EAC assumes that if the system is stable in the first swing, it continues to remain stable although the rotor may oscillate about its final steady state.
Consider the swing equation given by
(A.1)
where 
is the inertia, 
is the rotor angle with respect to the synchronously rotating reference, and 
and 
are the mechanical and electrical (output) power, respectively. It is assumed that the operating speed is assumed to be at rated value (1 pu).
Multiplying both sides of (A.1) by 
and integrating ...
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