Chaotic Threshold for a Class of Power System Model
This paper deals with the bifurcation and chaotic dynamic characteristic of a single-machine infinite-bus (SMIB) power system under two kinds of harmonic excitation disturbance, which are induced by the external periodic load and the outer mechanical disturbance. By applying Melnikov’s method, the t...
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| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2019-01-01
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| Series: | Shock and Vibration |
| Online Access: | http://dx.doi.org/10.1155/2019/3479239 |
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| _version_ | 1849405243038629888 |
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| author | Xiaodong Wang Zhenyong Lu Caiqin Song |
| author_facet | Xiaodong Wang Zhenyong Lu Caiqin Song |
| author_sort | Xiaodong Wang |
| collection | DOAJ |
| description | This paper deals with the bifurcation and chaotic dynamic characteristic of a single-machine infinite-bus (SMIB) power system under two kinds of harmonic excitation disturbance, which are induced by the external periodic load and the outer mechanical disturbance. By applying Melnikov’s method, the threshold value for the occurrence of chaotic motion is provided. In addition, the chaotic boundary surface is given. The efficiency of the criteria for chaotic motion obtained in this paper is verified by bifurcation diagram, phase portraits, Poincaré section, and frequency spectrum. The results obtained in this paper will provide a better understanding of the nonlinear dynamic behaviors for this class of SMIB power system subjected to two kinds of harmonic excitation components. |
| format | Article |
| id | doaj-art-44b1c3677d5d43938daf33e9d90ee6f5 |
| institution | Kabale University |
| issn | 1070-9622 1875-9203 |
| language | English |
| publishDate | 2019-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Shock and Vibration |
| spelling | doaj-art-44b1c3677d5d43938daf33e9d90ee6f52025-08-20T03:36:44ZengWileyShock and Vibration1070-96221875-92032019-01-01201910.1155/2019/34792393479239Chaotic Threshold for a Class of Power System ModelXiaodong Wang0Zhenyong Lu1Caiqin Song2School of Management Science and Engineering, Shandong Normal University, Jinan 250014, ChinaSchool of Management Science and Engineering, Shandong Normal University, Jinan 250014, ChinaSchool of Mathematical Sciences, Uiversity of Jinan, Jinan 250022, ChinaThis paper deals with the bifurcation and chaotic dynamic characteristic of a single-machine infinite-bus (SMIB) power system under two kinds of harmonic excitation disturbance, which are induced by the external periodic load and the outer mechanical disturbance. By applying Melnikov’s method, the threshold value for the occurrence of chaotic motion is provided. In addition, the chaotic boundary surface is given. The efficiency of the criteria for chaotic motion obtained in this paper is verified by bifurcation diagram, phase portraits, Poincaré section, and frequency spectrum. The results obtained in this paper will provide a better understanding of the nonlinear dynamic behaviors for this class of SMIB power system subjected to two kinds of harmonic excitation components.http://dx.doi.org/10.1155/2019/3479239 |
| spellingShingle | Xiaodong Wang Zhenyong Lu Caiqin Song Chaotic Threshold for a Class of Power System Model Shock and Vibration |
| title | Chaotic Threshold for a Class of Power System Model |
| title_full | Chaotic Threshold for a Class of Power System Model |
| title_fullStr | Chaotic Threshold for a Class of Power System Model |
| title_full_unstemmed | Chaotic Threshold for a Class of Power System Model |
| title_short | Chaotic Threshold for a Class of Power System Model |
| title_sort | chaotic threshold for a class of power system model |
| url | http://dx.doi.org/10.1155/2019/3479239 |
| work_keys_str_mv | AT xiaodongwang chaoticthresholdforaclassofpowersystemmodel AT zhenyonglu chaoticthresholdforaclassofpowersystemmodel AT caiqinsong chaoticthresholdforaclassofpowersystemmodel |