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| Content Provider | IEEE Xplore Digital Library |
|---|---|
| Author | Dan Yang Tao Jin Zhijun Wu Heng-fu Zou |
| Copyright Year | 2008 |
| Description | Author affiliation: Dept. of Market Monitoring, California Indep. Syst. Operator, Folsom, CA (Dan Yang) |
| Abstract | Numerical integration, or time domain simulation, is an important tool to study dynamical systems. Many dynamical systems are stiff, for instance, electric power systems consist of a variety of components with greatly different time scales. Although explicit integration methods are computationally efficient, they are not commonly used for studying stiff systems, because these methods may have numerical instability problems. In this paper, an explicit numerical integration method with dual stepsizes is proposed for analyzing stiff systems. The algorithm uses a small and a large stepsize to integrate different system components. Under the proposed decomposition, we demonstrate the numerical property and prove that dual stepsize integration is guaranteed to converge for all linear test systems in absolute stability. Thus, the method has both advantages: numerical stability and computational efficiency. The properties of the proposed method are illustrated through a mathematical example and two power system examples. |
| Starting Page | 1 |
| Ending Page | 8 |
| File Size | 514660 |
| Page Count | 8 |
| File Format | |
| ISBN | 9781424419050 |
| ISSN | 19325517 |
| DOI | 10.1109/PES.2008.4596126 |
| Language | English |
| Publisher | Institute of Electrical and Electronics Engineers, Inc. (IEEE) |
| Publisher Date | 2008-07-20 |
| Publisher Place | USA |
| Access Restriction | Subscribed |
| Rights Holder | Institute of Electrical and Electronics Engineers, Inc. (IEEE) |
| Subject Keyword | Eigenvalues and eigenfunctions Numerical stability Power system stability Power systems Stability analysis Power system dynamics Mathematical model time-domain simulation A-stability differential equations differential algebraic equations dual stepsize dual timestep dynamical systems numerical integration power systems stiff systems |
| Content Type | Text |
| Resource Type | Article |
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