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Stability theory of differential/algebraic models of power systems

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Abstract

Lyapunov stability results are given for differential/algebraic models of power systems which include the effect of generator damping and nonlinear loads. The global dynamical structure of such a system is studied in terms of multivalued energy functions defined on so-called ‘voltage causal regions’ where voltage behaviour is predicted from angle behaviour. These regions are separated by ‘impasse surfaces’ related to singularity in the load flow equations.

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Authors and Affiliations

  1. Department of Electrical and Computer Engineering, University of Newcastle, Australia

    D J Hill, I A Hiskens & I M Y Mareels

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  1. D J Hill
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  2. I A Hiskens
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  3. I M Y Mareels
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Hill, D.J., Hiskens, I.A. & Mareels, I.M.Y. Stability theory of differential/algebraic models of power systems. Sadhana 18, 731–747 (1993). https://doi.org/10.1007/BF03024222

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