ON ADAPTING TEST FUNCTION METHODS FOR FAST DETECTION OF FOLD BIFURCATIONS IN POWER SYSTEMS

DOI10.1142/S0218127402004255zbMath1044.37051MaRDI QIDQ4736338

Ke Chen, Anwar Hussein, Hai-Bin Wan

Publication date: 9 August 2004

Published in: International Journal of Bifurcation and Chaos (Search for Journal in Brave)

zbMATH Keywords

nonlinear equationstest functionsAbbott test functiondetecting bifurcation pointsmonitoring a continuation methodSeydel test function

Mathematics Subject Classification ID

Numerical computation of solutions to systems of equations (65H10) Dynamical systems in other branches of physics (quantum mechanics, general relativity, laser physics) (37N20) Computational methods for bifurcation problems in dynamical systems (37M20)

Related Items (2)

Fast computational methods for locating fold points for the power flow equations. ⋮ ON EFFICIENT METHODS FOR DETECTING HOPF BIFURCATION WITH APPLICATIONS TO POWER SYSTEM INSTABILITY PREDICTION

Cites Work

• Towards a theory of voltage collapse in electric power systems
• An efficient algorithm for the determination of certain bifurcation points
• Numerical computational of branch points in nonlinear equations
• Practical bifurcation and stability analysis: from equilibrium to chaos.
• On a class of bifurcation test functions
• An analysis of seydel' test function methods for nonlinear power flow equations
• ON DETECTING STATIONARY BIFURCATIONS
• BORDERED MATRICES AND SINGULARITIES OF LARGE NONLINEAR SYSTEMS
• Numerical Methods for Bifurcations of Dynamical Equilibria

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