%0 Journal Article
%T Singular Hopf Bifurcations in DAE Models of Power Systems
%A Wieslaw Marszalek
%A Zdzislaw Trzaska
%J Energy and Power Engineering
%P 1-8
%@ 1947-3818
%D 2011
%I Scientific Research Publishing
%R 10.4236/epe.2011.31001
%X We investigate an important relationship that exists between the Hopf bifurcation in the singularly perturbed nonlinear power systems and the singularity induced bifurcations (SIBs) in the corresponding different- tial-algebraic equations (DAEs). In a generic case, the SIB phenomenon in a system of DAEs signals Hopf bifurcation in the singularly perturbed systems of ODEs. The analysis is based on the linear matrix pencil theory and polynomials with parameter dependent coefficients. A few numerical examples are included.
%K Power Systems
%K Singularly Perturbed Systems
%K DAEs
%K Bifurcations
%K Matrix Pencils
%U http://www.scirp.org/journal/PaperInformation.aspx?PaperID=4002