Analysing nonlinear oscillation and chaos using fundamental-wave balance principle
The fundamental-wave current Is1 can be found by the theory of fundamental harmonic balance. Its flow direc- tion represents profit and loss of active and reactive power in order to maintain self-oscillation, when the exciting source applied to the network is cut off. And it is powerfull basis of ju...
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| Format: | Article |
| Language: | zho |
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Editorial Department of Journal on Communications
2008-01-01
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| Series: | Tongxin xuebao |
| Subjects: | |
| Online Access: | http://www.joconline.com.cn/zh/article/74653897/ |
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| author | HUANG Bing-hua HUANG Xin-min WEI Shan-ge |
| author_facet | HUANG Bing-hua HUANG Xin-min WEI Shan-ge |
| author_sort | HUANG Bing-hua |
| collection | DOAJ |
| description | The fundamental-wave current Is1 can be found by the theory of fundamental harmonic balance. Its flow direc- tion represents profit and loss of active and reactive power in order to maintain self-oscillation, when the exciting source applied to the network is cut off. And it is powerfull basis of judging stability and self-excited oscillation shape and prop- erties. Oscillation frequencyωs and amplitude Um of fundamental- wave solution can be found, when active and reactive power of the network obtain balance synchronously. The respective periodic solution exist inevitably. The universality of the conclusion can be spread to third-order nonlinear differential equation. It is expounded that a differential equation possessing multiple periodic solutions is the important reason of generating chaotic oscillation. Its correctness can be verified by the Simulink. |
| format | Article |
| id | doaj-art-9a24d9909cc241969b62fbc2f007cb1f |
| institution | Kabale University |
| issn | 1000-436X |
| language | zho |
| publishDate | 2008-01-01 |
| publisher | Editorial Department of Journal on Communications |
| record_format | Article |
| series | Tongxin xuebao |
| spelling | doaj-art-9a24d9909cc241969b62fbc2f007cb1f2025-01-14T08:33:55ZzhoEditorial Department of Journal on CommunicationsTongxin xuebao1000-436X2008-01-01657074653897Analysing nonlinear oscillation and chaos using fundamental-wave balance principleHUANG Bing-huaHUANG Xin-minWEI Shan-geThe fundamental-wave current Is1 can be found by the theory of fundamental harmonic balance. Its flow direc- tion represents profit and loss of active and reactive power in order to maintain self-oscillation, when the exciting source applied to the network is cut off. And it is powerfull basis of judging stability and self-excited oscillation shape and prop- erties. Oscillation frequencyωs and amplitude Um of fundamental- wave solution can be found, when active and reactive power of the network obtain balance synchronously. The respective periodic solution exist inevitably. The universality of the conclusion can be spread to third-order nonlinear differential equation. It is expounded that a differential equation possessing multiple periodic solutions is the important reason of generating chaotic oscillation. Its correctness can be verified by the Simulink.http://www.joconline.com.cn/zh/article/74653897/nonlinearstabilityreactive powerlimit cyclechaos |
| spellingShingle | HUANG Bing-hua HUANG Xin-min WEI Shan-ge Analysing nonlinear oscillation and chaos using fundamental-wave balance principle Tongxin xuebao nonlinear stability reactive power limit cycle chaos |
| title | Analysing nonlinear oscillation and chaos using fundamental-wave balance principle |
| title_full | Analysing nonlinear oscillation and chaos using fundamental-wave balance principle |
| title_fullStr | Analysing nonlinear oscillation and chaos using fundamental-wave balance principle |
| title_full_unstemmed | Analysing nonlinear oscillation and chaos using fundamental-wave balance principle |
| title_short | Analysing nonlinear oscillation and chaos using fundamental-wave balance principle |
| title_sort | analysing nonlinear oscillation and chaos using fundamental wave balance principle |
| topic | nonlinear stability reactive power limit cycle chaos |
| url | http://www.joconline.com.cn/zh/article/74653897/ |
| work_keys_str_mv | AT huangbinghua analysingnonlinearoscillationandchaosusingfundamentalwavebalanceprinciple AT huangxinmin analysingnonlinearoscillationandchaosusingfundamentalwavebalanceprinciple AT weishange analysingnonlinearoscillationandchaosusingfundamentalwavebalanceprinciple |