Approximate Bisimulation-Based Reduction of Power System Dynamic Models


In this paper we propose approximate bisimulation relations and functions for reduction of power system dynamic models in differential-algebraic (descriptor) form. The total-size dynamic model is obtained by linearization of the nonlinear transient stability model. We tend to generalize theoretical results on approximate bisimulation relations and bisimulation functions, originally derived for a category of constrained linear systems, to linear systems in descriptor type. An algorithm for transient stability assessment is proposed and used to work out whether or not the power system is able to maintain the synchronism after a giant disturbance. Two benchmark power systems are used to illustrate the proposed algorithm and to evaluate the applicability of approximate bisimulation relations and bisimulation functions for reduction of the power system dynamic models.

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