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A computational method for the calculation of the feasibility boundary and clustering in differential-algebraic systems

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2 Author(s)
Ozcan, A. ; Washington Univ., Saint Louis, MO, USA ; Schattler, H.

A clustering approach is presented to calculate the limits of parametric stability for a stable equilibrium of the power systems modeled by differential algebraic equations (DAEs) , the so-called "feasibility boundary." The underlying algorithm for calculation is based on the sensitivities of the eigenvalues of the DA system. The procedure is illustrated with several examples based on the standard nine-bus system and test beds formed by connecting sets of two and four nine-bus systems together.

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Circuits and Systems I: Regular Papers, IEEE Transactions on  (Volume:52 ,  Issue: 9 )