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Switch induced instabilities for stable power system DAE models

: Groß, Tjorben; Trenn, Stefan; Wirsen, Andreas


IFAC-PapersOnLine 51 (2018), Nr.16, S.127-132
ISSN: 2405-8963
ISSN: 1474-6670
Conference on Analysis and Design of Hybrid Systems (ADHS) <6, 2018, Oxford>
Fraunhofer ITWM ()

It is well known that for switched systems the overall dynamics can be unstable despite stability of all individual modes. We show that this phenomenon can indeed occur for a linearized DAE model of power grids. By making certain topological assumptions on the power grid, we can ensure stability under arbitrary switching for the linearized DAE model.