Topological solvability and index characterizations for a common DAE power system model

Author

Gross, Tjorben B. ; Trenn, Stephan ; Wirsen, Andreas

Author_Institution

Fraunhofer Inst. for Ind. Math. (ITWM), Kaiserslautern, Germany

fYear

2014

fDate

8-10 Oct. 2014

Firstpage

9

Lastpage

14

Abstract

For the widely-used power system model consisting of the generator swing equations and the power flow equations resulting in a system of differential algebraic equations (DAEs), we introduce a sufficient and necessary solvability condition for the linearized model. This condition is based on the topological structure of the power system. Furthermore we show sufficient conditions for the linearized DAE-system and a nonlinear version of the model to have differentiation index equal to one.

Keywords

differential algebraic equations; load flow; power system simulation; differential algebraic equations; differentiation index; generator swing equations; index characterizations; linearized DAE-system; linearized model; power flow equations; power system model; solvability condition; topological solvability; topological structure; Equations; Generators; Indexes; Load modeling; Mathematical model; Power systems; Symmetric matrices; Differential algebraic equations; differentiation index; power systems; regularity;

fLanguage

English

Publisher

ieee

Conference_Titel

Control Applications (CCA), 2014 IEEE Conference on

Conference_Location

Juan Les Antibes

Type

conf

DOI

10.1109/CCA.2014.6981321

Filename

6981321