Comparisons of Modeling Methods for Fractional-Order Cuk Converter
In this paper, several modeling methods for the continuous current mode (CCM) fractional-order Cuk converter are investigated. First, the state space averaging method is used to establish the model. Based on this model, the expressions of inductors’ current and capacitor voltage as well as the trans...
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| Format: | Article |
| Language: | English |
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MDPI AG
2021-03-01
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| Series: | Electronics |
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| Online Access: | https://www.mdpi.com/2079-9292/10/6/710 |
| _version_ | 1797540886576365568 |
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| author | Xiaogang Wang Bingwen Qiu Hongdong Wang |
| author_facet | Xiaogang Wang Bingwen Qiu Hongdong Wang |
| author_sort | Xiaogang Wang |
| collection | DOAJ |
| description | In this paper, several modeling methods for the continuous current mode (CCM) fractional-order Cuk converter are investigated. First, the state space averaging method is used to establish the model. Based on this model, the expressions of inductors’ current and capacitor voltage as well as the transfer functions are derived. Then, the equivalent small parameter method (ESPM) is employed to model the converter. Based on the Oustaloup filter principle, the approximate models of fractional-order capacitor and inductors are constructed, which consist of integer-order components, to build the circuit model (CM) of the converter. In addition, the numerical model (NM) of the converter is established. Simulation results are provided to compare the modeling methods, which show that the ESPM has some advantages over the other methods. Finally, the hardware-in-the-loop experiment is conducted to verify the effectiveness of the circuit model. |
| first_indexed | 2024-03-10T13:07:25Z |
| format | Article |
| id | doaj.art-1a3c0fbf666340b781277a1c77b42bb4 |
| institution | Directory Open Access Journal |
| issn | 2079-9292 |
| language | English |
| last_indexed | 2024-03-10T13:07:25Z |
| publishDate | 2021-03-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Electronics |
| spelling | doaj.art-1a3c0fbf666340b781277a1c77b42bb42023-11-21T10:59:23ZengMDPI AGElectronics2079-92922021-03-0110671010.3390/electronics10060710Comparisons of Modeling Methods for Fractional-Order Cuk ConverterXiaogang Wang0Bingwen Qiu1Hongdong Wang2School of Mechanical and Electrical Engineering, Guangzhou University, Guangzhou 510006, ChinaSchool of Mechanical and Electrical Engineering, Guangzhou University, Guangzhou 510006, ChinaSchool of Mechanical and Electrical Engineering, Guangzhou University, Guangzhou 510006, ChinaIn this paper, several modeling methods for the continuous current mode (CCM) fractional-order Cuk converter are investigated. First, the state space averaging method is used to establish the model. Based on this model, the expressions of inductors’ current and capacitor voltage as well as the transfer functions are derived. Then, the equivalent small parameter method (ESPM) is employed to model the converter. Based on the Oustaloup filter principle, the approximate models of fractional-order capacitor and inductors are constructed, which consist of integer-order components, to build the circuit model (CM) of the converter. In addition, the numerical model (NM) of the converter is established. Simulation results are provided to compare the modeling methods, which show that the ESPM has some advantages over the other methods. Finally, the hardware-in-the-loop experiment is conducted to verify the effectiveness of the circuit model.https://www.mdpi.com/2079-9292/10/6/710Cuk converterfractional-orderstate space averaging methodequivalent small parameter methodhardware-in-the-loop |
| spellingShingle | Xiaogang Wang Bingwen Qiu Hongdong Wang Comparisons of Modeling Methods for Fractional-Order Cuk Converter Electronics Cuk converter fractional-order state space averaging method equivalent small parameter method hardware-in-the-loop |
| title | Comparisons of Modeling Methods for Fractional-Order Cuk Converter |
| title_full | Comparisons of Modeling Methods for Fractional-Order Cuk Converter |
| title_fullStr | Comparisons of Modeling Methods for Fractional-Order Cuk Converter |
| title_full_unstemmed | Comparisons of Modeling Methods for Fractional-Order Cuk Converter |
| title_short | Comparisons of Modeling Methods for Fractional-Order Cuk Converter |
| title_sort | comparisons of modeling methods for fractional order cuk converter |
| topic | Cuk converter fractional-order state space averaging method equivalent small parameter method hardware-in-the-loop |
| url | https://www.mdpi.com/2079-9292/10/6/710 |
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