Abstract
In this paper, a Galerkin-based method is applied to a single machine infinite busbar (SMIB) power system. The method computes the separatrix cycle and the exact values for the input mechanical power at which a limit cycle bifurcates from the separatrix cycle. The first part of the algorithm approximates the limit cycle by a truncated Fourier series which employs N harmonics, where N is a user-specified. The second part of the algorithm finds the exact value of the input mechanical power by utilizing the fact that the separatrix cycle must approach the saddle point. The algorithm is applied to simple example with N = 3. Data is given which relates the damping coefficient to the input mechanical power.
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