Dynamic Analysis and Suppression Strategy Research on a Novel Fractional-Order Ferroresonance System
Ferroresonance is characterized by overvoltage and irregular operation in power systems, which can greatly endanger system equipment. Mechanism analysis of the ferroresonance phenomenon depends mainly on model accuracy. Due to the fractional-order characteristics of capacitance and inductance, fract...
| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
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MDPI AG
2023-12-01
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| Series: | Fractal and Fractional |
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| Online Access: | https://www.mdpi.com/2504-3110/8/1/24 |
| _version_ | 1797343962773585920 |
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| author | Jianxiang Yang Yiran Fan Anle Mu Jianbin Xiong |
| author_facet | Jianxiang Yang Yiran Fan Anle Mu Jianbin Xiong |
| author_sort | Jianxiang Yang |
| collection | DOAJ |
| description | Ferroresonance is characterized by overvoltage and irregular operation in power systems, which can greatly endanger system equipment. Mechanism analysis of the ferroresonance phenomenon depends mainly on model accuracy. Due to the fractional-order characteristics of capacitance and inductance, fractional-order models are more universal and accurate than integer-order models. A typical 110 kV ferroresonance model is first established. The influence of the excitation amplitude on the dynamic behavior is analyzed. The fractional-order ferroresonance model is then introduced, and the effects of the fractional order and flux-chain order on the system’s motion state are studied via bifurcation diagrams and phase portraits. In order to suppress the nonlinear dynamic behavior of fractional-order ferroresonance systems, a novel fractional-order fast terminal sliding mode control method based on finite-time theory and the frequency distributed model is proposed. A new fractional-order sliding mode surface and control law using a saturation function are developed. A robust fractional-order sliding mode controller could achieve finite-time stabilization and tracking despite model uncertainties and external disturbances. Compared with conventional sliding mode methods, the simulation results highlight the effectiveness and superiority. The research provides a theoretical basis for ferroresonant analysis and suppression in large-scale interconnected power grids. |
| first_indexed | 2024-03-08T10:55:24Z |
| format | Article |
| id | doaj.art-880f74b3edfa458da6684f313d85d328 |
| institution | Directory Open Access Journal |
| issn | 2504-3110 |
| language | English |
| last_indexed | 2024-03-08T10:55:24Z |
| publishDate | 2023-12-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Fractal and Fractional |
| spelling | doaj.art-880f74b3edfa458da6684f313d85d3282024-01-26T16:35:15ZengMDPI AGFractal and Fractional2504-31102023-12-01812410.3390/fractalfract8010024Dynamic Analysis and Suppression Strategy Research on a Novel Fractional-Order Ferroresonance SystemJianxiang Yang0Yiran Fan1Anle Mu2Jianbin Xiong3School of Automation, Guangdong Polytechnic Normal University, Guangzhou 510665, ChinaSchool of Automation, Guangdong Polytechnic Normal University, Guangzhou 510665, ChinaSchool of Mechanical and Precision Instrument Engineering, Xi’an University of Technology, Xi’an 710048, ChinaSchool of Automation, Guangdong Polytechnic Normal University, Guangzhou 510665, ChinaFerroresonance is characterized by overvoltage and irregular operation in power systems, which can greatly endanger system equipment. Mechanism analysis of the ferroresonance phenomenon depends mainly on model accuracy. Due to the fractional-order characteristics of capacitance and inductance, fractional-order models are more universal and accurate than integer-order models. A typical 110 kV ferroresonance model is first established. The influence of the excitation amplitude on the dynamic behavior is analyzed. The fractional-order ferroresonance model is then introduced, and the effects of the fractional order and flux-chain order on the system’s motion state are studied via bifurcation diagrams and phase portraits. In order to suppress the nonlinear dynamic behavior of fractional-order ferroresonance systems, a novel fractional-order fast terminal sliding mode control method based on finite-time theory and the frequency distributed model is proposed. A new fractional-order sliding mode surface and control law using a saturation function are developed. A robust fractional-order sliding mode controller could achieve finite-time stabilization and tracking despite model uncertainties and external disturbances. Compared with conventional sliding mode methods, the simulation results highlight the effectiveness and superiority. The research provides a theoretical basis for ferroresonant analysis and suppression in large-scale interconnected power grids.https://www.mdpi.com/2504-3110/8/1/24fractional-order ferroresonance systemdynamic analysisfrequency distributed modelfinite-time controlfractional-order sliding mode control |
| spellingShingle | Jianxiang Yang Yiran Fan Anle Mu Jianbin Xiong Dynamic Analysis and Suppression Strategy Research on a Novel Fractional-Order Ferroresonance System Fractal and Fractional fractional-order ferroresonance system dynamic analysis frequency distributed model finite-time control fractional-order sliding mode control |
| title | Dynamic Analysis and Suppression Strategy Research on a Novel Fractional-Order Ferroresonance System |
| title_full | Dynamic Analysis and Suppression Strategy Research on a Novel Fractional-Order Ferroresonance System |
| title_fullStr | Dynamic Analysis and Suppression Strategy Research on a Novel Fractional-Order Ferroresonance System |
| title_full_unstemmed | Dynamic Analysis and Suppression Strategy Research on a Novel Fractional-Order Ferroresonance System |
| title_short | Dynamic Analysis and Suppression Strategy Research on a Novel Fractional-Order Ferroresonance System |
| title_sort | dynamic analysis and suppression strategy research on a novel fractional order ferroresonance system |
| topic | fractional-order ferroresonance system dynamic analysis frequency distributed model finite-time control fractional-order sliding mode control |
| url | https://www.mdpi.com/2504-3110/8/1/24 |
| work_keys_str_mv | AT jianxiangyang dynamicanalysisandsuppressionstrategyresearchonanovelfractionalorderferroresonancesystem AT yiranfan dynamicanalysisandsuppressionstrategyresearchonanovelfractionalorderferroresonancesystem AT anlemu dynamicanalysisandsuppressionstrategyresearchonanovelfractionalorderferroresonancesystem AT jianbinxiong dynamicanalysisandsuppressionstrategyresearchonanovelfractionalorderferroresonancesystem |