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- Title
Numerical Integration Methods in Long-Term Dynamic Calculations.
- Authors
Yokoyama, Hiroshi; Iwamoto, Shinichi
- Abstract
This paper compares the Runge-Kutta, Adams-Bashforth, Adams-Molten, and Gear [13-15] methods with each other. These methods are abbreviated simply as R-K, A-B, A-M and Gear methods, respectively. They are applied first to analyze a simple linear systems the analytical solutions of which are known. Afterward, they are used for the analysis of power systems. In this study, the explicit methods (R-K and A-B methods) are combined with the alternate solution method, and th implicit methods (A-M and Gear methods) are combined with the simultaneous solution method. Since the Newton-Raphson method is used as the simultaneous solution method, it becomes difficult to set the initial values. This difficulty is overcome using the decoupled Jacobian matrix [10].
- Subjects
LINEAR programming; ALGORITHMS; MATHEMATICAL analysis; POWER resources; NEWTON-Raphson method; MATRICES (Mathematics)
- Publication
Electrical Engineering in Japan, 1990, Vol 110, Issue 5, p19
- ISSN
0424-7760
- Publication type
Article
- DOI
10.1002/eej.4391100503