Imperial College London > Talks@ee.imperial > Control and Power Seminars > On Existence and Stability of Equilibria of Multi-port DC or AC Networks with Constant-Power Loads

On Existence and Stability of Equilibria of Multi-port DC or AC Networks with Constant-Power Loads

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If you have a question about this talk, please contact Alessandro Astolfi.

In this talk we address the following questions regarding multi-port networks with instantaneous constant-power loads.

  1. Identify a set of active and reactive load powers for which there is {\em no steady-state} operating condition of the network. The identification is given in terms of feasibility of simple linear matrix inequalities, hence it can be easily verified with existing software. For the case of one- or two-port networks the proposed feasibility test is necessary and sufficient for load power admissibility.
  1. For DC networks give sufficient conditions for stability and instability for a given equilibrium point.

Several benchmark numerical examples illustrate our results.

This talk is part of the Control and Power Seminars series.

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