| Singularly perturbed bifurcation subsystem and its application in power systems | |
| Alternative Title | Singularly perturbed bifurcation subsystem and its application in power systems |
| An Yichun1; Zhang Qingling1; Zhu Yukun2; Yan Zhang1 | |
| 2008 | |
| Source Publication | JOURNAL OF SYSTEMS ENGINEERING AND ELECTRONICS
 |
| ISSN | 1004-4132 |
| Volume | 19Issue:4Pages:752-757 |
| Abstract | The singularly perturbed bifurcation subsystem is described, and the test conditions of subsystem persistence are deduced. By use of fast and slow reduced subsystem model, the result does not require performing nonlinear transformation. Moreover, it is shown and proved that the persistence of the periodic orbits for Hopf bifurcation in the reduced model through center manifold. Van der Pol oscillator circuit is given to illustrate the persistence of bifurcation subsystems with the full dynamic system. |
| Other Abstract | The singularly perturbed bifurcation subsystem is described, and the test conditions of subsystem persistence are deduced. By use of fast and slow reduced subsystem model, the result does not require performing nonlinear transformation. Moreover, it is shown and proved that the persistence of the periodic orbits for Hopf bifurcation in the reduced model through center manifold. Van der Pol oscillator circuit is given to illustrate the persistence of bifurcation subsystems with the full dynamic system. |
| Keyword | VOLTAGE COLLAPSE bifurcation subsystem persistence singular perturbation center manifold saddle-node bifurcation Hopf bifurcation |
| Indexed By | CSCD |
| Language | 英语 |
| Funding Project | [National Natural Science Foundation of China] ; [Department of Science and Technology of Liaoning Province] |
| CSCD ID | CSCD:3347424 |
| Citation statistics | |
| Document Type | 期刊论文 |
| Identifier | http://ir.imr.ac.cn/handle/321006/144587 |
| Collection | 中国科学院金属研究所 |
| Affiliation | 1.中国科学院金属研究所 2.AF Command Coll, Beijing 100097, Peoples R China |
| Recommended Citation GB/T 7714 | An Yichun,Zhang Qingling,Zhu Yukun,et al. Singularly perturbed bifurcation subsystem and its application in power systems[J]. JOURNAL OF SYSTEMS ENGINEERING AND ELECTRONICS,2008,19(4):752-757. |
| APA | An Yichun,Zhang Qingling,Zhu Yukun,&Yan Zhang.(2008).Singularly perturbed bifurcation subsystem and its application in power systems.JOURNAL OF SYSTEMS ENGINEERING AND ELECTRONICS,19(4),752-757. |
| MLA | An Yichun,et al."Singularly perturbed bifurcation subsystem and its application in power systems".JOURNAL OF SYSTEMS ENGINEERING AND ELECTRONICS 19.4(2008):752-757. |
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