Fractional-Order LCL Filters: Principle, Frequency Characteristics, and Their Analysis
The fractional-order LCL filter, composed of two fractional-order inductors and one fractional-order capacitor, is a novel fractional-order π-type circuit introduced in recent years. Based on mathematical modeling, this article comprehensively studies the principles and frequency characteristics of...
| Main Authors: | , , , , , |
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| Format: | Article |
| Language: | English |
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MDPI AG
2024-01-01
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| Series: | Fractal and Fractional |
| Subjects: | |
| Online Access: | https://www.mdpi.com/2504-3110/8/1/38 |
| _version_ | 1797343950039678976 |
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| author | Junhua Xu Ermeng Zeng Xiaocong Li Guopeng He Weixun Liu Xuanren Meng |
| author_facet | Junhua Xu Ermeng Zeng Xiaocong Li Guopeng He Weixun Liu Xuanren Meng |
| author_sort | Junhua Xu |
| collection | DOAJ |
| description | The fractional-order LCL filter, composed of two fractional-order inductors and one fractional-order capacitor, is a novel fractional-order π-type circuit introduced in recent years. Based on mathematical modeling, this article comprehensively studies the principles and frequency characteristics of fractional-order LCL filters. Five critical properties are derived and rigorously demonstrated. One of the most significant findings is that we identify the necessary and sufficient condition for resonance in fractional-order LCL filters when the sum of the orders of the fractional-order inductors and the fractional-order capacitor is equal to 2, which provides a theoretical foundation for effectively avoiding resonance in fractional-order LCL filters. The correctness of our theoretical derivation and analysis was confirmed through digital simulations. This study reveals that fractional-order LCL filters exhibit more versatile operational characteristics than traditional integer-order LCL filters, paving the way for broader application prospects. |
| first_indexed | 2024-03-08T10:55:14Z |
| format | Article |
| id | doaj.art-5e0322d39727496ca13a5b5e043ec1af |
| institution | Directory Open Access Journal |
| issn | 2504-3110 |
| language | English |
| last_indexed | 2024-03-08T10:55:14Z |
| publishDate | 2024-01-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Fractal and Fractional |
| spelling | doaj.art-5e0322d39727496ca13a5b5e043ec1af2024-01-26T16:35:43ZengMDPI AGFractal and Fractional2504-31102024-01-01813810.3390/fractalfract8010038Fractional-Order LCL Filters: Principle, Frequency Characteristics, and Their AnalysisJunhua Xu0Ermeng Zeng1Xiaocong Li2Guopeng He3Weixun Liu4Xuanren Meng5College of Electrical Engineering, Guangxi University, Nanning 530004, ChinaCollege of Electrical Engineering, Guangxi University, Nanning 530004, ChinaCollege of Electrical Engineering, Guangxi University, Nanning 530004, ChinaCollege of Electrical Engineering, Guangxi University, Nanning 530004, ChinaCollege of Electrical Engineering, Guangxi University, Nanning 530004, ChinaElectric Power Research Institute of Guangxi Power Grid Corporation, Nanning 530023, ChinaThe fractional-order LCL filter, composed of two fractional-order inductors and one fractional-order capacitor, is a novel fractional-order π-type circuit introduced in recent years. Based on mathematical modeling, this article comprehensively studies the principles and frequency characteristics of fractional-order LCL filters. Five critical properties are derived and rigorously demonstrated. One of the most significant findings is that we identify the necessary and sufficient condition for resonance in fractional-order LCL filters when the sum of the orders of the fractional-order inductors and the fractional-order capacitor is equal to 2, which provides a theoretical foundation for effectively avoiding resonance in fractional-order LCL filters. The correctness of our theoretical derivation and analysis was confirmed through digital simulations. This study reveals that fractional-order LCL filters exhibit more versatile operational characteristics than traditional integer-order LCL filters, paving the way for broader application prospects.https://www.mdpi.com/2504-3110/8/1/38fractional-order capacitorfractional-order inductorfractional-order LCL filterfrequency characteristicsresonance |
| spellingShingle | Junhua Xu Ermeng Zeng Xiaocong Li Guopeng He Weixun Liu Xuanren Meng Fractional-Order LCL Filters: Principle, Frequency Characteristics, and Their Analysis Fractal and Fractional fractional-order capacitor fractional-order inductor fractional-order LCL filter frequency characteristics resonance |
| title | Fractional-Order LCL Filters: Principle, Frequency Characteristics, and Their Analysis |
| title_full | Fractional-Order LCL Filters: Principle, Frequency Characteristics, and Their Analysis |
| title_fullStr | Fractional-Order LCL Filters: Principle, Frequency Characteristics, and Their Analysis |
| title_full_unstemmed | Fractional-Order LCL Filters: Principle, Frequency Characteristics, and Their Analysis |
| title_short | Fractional-Order LCL Filters: Principle, Frequency Characteristics, and Their Analysis |
| title_sort | fractional order lcl filters principle frequency characteristics and their analysis |
| topic | fractional-order capacitor fractional-order inductor fractional-order LCL filter frequency characteristics resonance |
| url | https://www.mdpi.com/2504-3110/8/1/38 |
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