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Singular Hopf Bifurcations in DAE Models of Power Systems ()

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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.

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W. Marszalek and Z. Trzaska, "Singular Hopf Bifurcations in DAE Models of Power Systems,"

*Energy and Power Engineering*, Vol. 3 No. 1, 2011, pp. 1-8. doi: 10.4236/epe.2011.31001.Conflicts of Interest

The authors declare no conflicts of interest.

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