We found a match
Your institution may have access to this item. Find your institution then sign in to continue.
- Title
Development of combined Runge-Kutta Broyden's load flow approach for well- and ill-conditioned power systems.
- Authors
Tostado-Véliz, Marcos; Kamel, Salah; Jurado, Francisco
- Abstract
Load flow (LF) is an extensively used tool in planning and operation of power systems. Formulation of LF problem can be assimilated as a set of autonomous ordinary differential equations, therefore, many numeric methods can be used to solve this problem. However, LF methods often need to compute one or more Jacobian matrix inversions in each iteration. Owing to this fact, these methods might not be computationally efficient. In this study, the authors propose combined Runge-Kutta Broyden's LF (RK4B) method in order to reduce the required Jacobian matrix inversion to only one in the first iteration. In this proposed method, Broyden's approach is employed in fourth-order Runge-Kutta method. In addition, two modifications of the proposed method are presented to reduce the number of iterations and improve the computational performance. The proposed method and the two modifications are validated using several well- and ill-conditioned cases. Results show that the combined approach has better computational performance than the classical multistage numeric methods, besides it preserves the robustness features of fourth-order Runge-Kutta method.
- Subjects
LOAD flow analysis (Electric power systems); LOAD flow control (Electric power systems); AUTONOMOUS differential equations; ORDINARY differential equations; JACOBIAN matrices; ROBUST control
- Publication
IET Generation, Transmission & Distribution (Wiley-Blackwell), 2018, Vol 12, Issue 21, p5723
- ISSN
1751-8687
- Publication type
Article
- DOI
10.1049/iet-gtd.2018.5633