Fast computational methods for locating fold points for the power flow equations.

DOI10.1016/S0377-0427(03)00651-4zbMath1036.78017MaRDI QIDQ1426787

Ke Chen, Anwar Hussein

Publication date: 15 March 2004

Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)

zbMATH Keywords

Iterative methodsContinuation methodDeflationPerformance indicesPower flow equationsVoltage collapse

Mathematics Subject Classification ID

Numerical bifurcation problems (65P30) Local and nonlocal bifurcation theory for dynamical systems (37G99)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Numerical methods in bifurcation problems. Lectures delivered at the Indian Institute of Science, Bangalore, under the T.I.F.R.-I.I.Sc. Programme in Applications of Mathematics. Notes by A. K. Nandakumaran and Mythily Ramaswamy
• An efficient algorithm for the determination of certain bifurcation points
• Numerical computational of branch points in nonlinear equations
• Approximate sparsity patterns for the inverse of a matrix and preconditioning
• Practical bifurcation and stability analysis: from equilibrium to chaos.
• On a class of new and practical performance indexes for approximation of fold bifurcations of nonlinear power flow equations
• Restarted GMRES preconditioned by deflation
• Preconditioning Highly Indefinite and Nonsymmetric Matrices
• Factorized sparse approximate inverse preconditionings. IV: Simple approaches to rising efficiency
• GMRES: A Generalized Minimal Residual Algorithm for Solving Nonsymmetric Linear Systems
• The Calculation of Turning Points of Nonlinear Equations
• Numerical continuation methods for nonlinear equations and bifurcation problems
• Parallel Preconditioning with Sparse Approximate Inverses
• BORDERED MATRICES AND SINGULARITIES OF LARGE NONLINEAR SYSTEMS
• A Class of Spectral Two-Level Preconditioners
• A Priori Sparsity Patterns for Parallel Sparse Approximate Inverse Preconditioners
• The Design and Use of Algorithms for Permuting Large Entries to the Diagonal of Sparse Matrices
• ON ADAPTING TEST FUNCTION METHODS FOR FAST DETECTION OF FOLD BIFURCATIONS IN POWER SYSTEMS
• GMRES with Deflated Restarting
• Numerical Methods for Bifurcations of Dynamical Equilibria