Solvability and stability of a power system DAE model

Tjorben Groß, Stephan Trenn*, Andreas Wirsen

*Bijbehorende auteur voor dit werk

OnderzoeksoutputAcademicpeer review

6 Citaten (Scopus)


The dynamic model of a power system is the combination of the power flow equations and the dynamic description of the generators (the swing equations) resulting in a differential–algebraic equation (DAE). For general DAEs solvability is not guaranteed in general, in the linear case the coefficient matrices have to satisfy a certain regularity condition. We derive a solvability characterization for the linearized power system DAE solely in terms of the network topology. As an extension to previous result we allow for higher order generator dynamics. Furthermore, we show that any solvable power system DAE is automatically of index one, which means that it is also numerically well posed. Finally, we show that any solvable power system DAE is stable but not asymptotically stable.
Originele taal-2English
Pagina's (van-tot)12-17
Aantal pagina's6
TijdschriftSystems and Control Letters
StatusPublished - 1-nov-2016
Extern gepubliceerdJa

Citeer dit