Numerical Simulation of Transient Stability of Power Systems by an Adaptive Runge‐Kutta Method

DOI10.1002/zamm.19950750612zbMath0831.65077OpenAlexW2033685725MaRDI QIDQ4847512

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Publication date: 18 February 1996

Published in: ZAMM - Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/zamm.19950750612

zbMATH Keywords

algorithmnumerical experimentsnonlinear differential-algebraic equationsvariable stepsizeexplicit Runge-Kutta methodquadratic extrapolationlocal discretization errorpower-system transient stability problem

Mathematics Subject Classification ID

Nonlinear ordinary differential equations and systems (34A34) Numerical methods for initial value problems involving ordinary differential equations (65L05) Multistep, Runge-Kutta and extrapolation methods for ordinary differential equations (65L06) Technical applications of optics and electromagnetic theory (78A55) Error bounds for numerical methods for ordinary differential equations (65L70) Numerical investigation of stability of solutions to ordinary differential equations (65L07) Mesh generation, refinement, and adaptive methods for ordinary differential equations (65L50)

Cites Work

• Unnamed Item
• Practical Runge–Kutta Processes
• Natural Continuous Extensions of Runge-Kutta Methods
• The automatic integration of ordinary differential equations
• Order Barriers for Continuous Explicit Runge-Kutta Methods

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