Optimal power flow with small signal stability constraints
DOI:
https://doi.org/10.46842//ipn.cien.v26n1a10Keywords:
optimal power flow, small signal stability, semi-definite programming, LyapunovAbstract
A power system presents different stability problems, the small-signal stability problem receives attention to the occasional oscillations and the change in its demand, for this and the need to optimize resources a smallsignal stability constraint is incorporated in the optimal power flow problem, this constrain is based on Lyapunov's theorem and is modeled as a semi-definite programming problem, where the matrix P must be positive definite and symmetric to guarantee the system stability. The problem is solved by the interior point method. The simulations have been conducted with AMPL in the WSCC 9-bus 3-machine system.
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