Quadratic form of stable sub-manifold for power systems
文献类型:期刊论文
作者 | Cheng, DZ![]() |
刊名 | INTERNATIONAL JOURNAL OF ROBUST AND NONLINEAR CONTROL
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出版日期 | 2004-06-01 |
卷号 | 14期号:9-10页码:773-788 |
关键词 | power system type-1 equilibrium stable sub-manifold Taylor expansion differential-algebraic equation |
ISSN号 | 1049-8923 |
DOI | 10.1002/tnc.913 |
英文摘要 | The stable sub-manifold of type-1 unstable equilibrium point is fundamental in determining the region of attraction of a stable working point for power systems, because such sub-manifolds form the boundary of the region (IEEE Trans. Automat. Control 1998; 33(1):16-27; IEEE Trans. Circuit Syst. 1988; 35(6): 712-728). The quadratic approximation has been investigated in some recent literatures (Automatica 1997; 33(10):1877-1883; IEEE Trans. Power Syst. 1997; 12(2):797-802). First, the paper reports our recent result: a precise formula is obtained, which provides the unique quadratic approximation with the error of 0(parallel toxparallel to(3)). Then the result is applied to differential-algebraic systems. The real form of practical large scale power systems are of this type. A detailed algorithm is obtained for the quadratic approximation of the stable sub-manifold of type-1 unstable equilibrium points of such systems. Some examples are presented to illustrate the algorithm and the application of the approximation to stability analysis of power systems. Copyright (C) 2004 John Wiley Sons, Ltd. |
WOS研究方向 | Automation & Control Systems ; Engineering ; Mathematics |
语种 | 英语 |
WOS记录号 | WOS:000222227800002 |
出版者 | JOHN WILEY & SONS LTD |
源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/488] ![]() |
专题 | 系统科学研究所 |
通讯作者 | Cheng, DZ |
作者单位 | 1.Chinese Acad Sci, Inst Syst Sci, Beijing 100080, Peoples R China 2.Tsing Hua Univ, Dept Elect Engn, Beijing 100084, Peoples R China |
推荐引用方式 GB/T 7714 | Cheng, DZ,Ma, J,Lu, Q,et al. Quadratic form of stable sub-manifold for power systems[J]. INTERNATIONAL JOURNAL OF ROBUST AND NONLINEAR CONTROL,2004,14(9-10):773-788. |
APA | Cheng, DZ,Ma, J,Lu, Q,&Mei, SW.(2004).Quadratic form of stable sub-manifold for power systems.INTERNATIONAL JOURNAL OF ROBUST AND NONLINEAR CONTROL,14(9-10),773-788. |
MLA | Cheng, DZ,et al."Quadratic form of stable sub-manifold for power systems".INTERNATIONAL JOURNAL OF ROBUST AND NONLINEAR CONTROL 14.9-10(2004):773-788. |
入库方式: OAI收割
来源:数学与系统科学研究院
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