Fractional order modelling and optimal control of dual active bridge converters
As the construction of new power systems centred around renewable energy gains traction, the installed capacity of new energy sources has experienced explosive growth. Research has shown that the actual external characteristics of inductors and capacitors in circuits exhibit fractional order charact...
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| Format: | Article |
| Language: | English |
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Taylor & Francis Group
2024-12-01
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| Series: | Systems Science & Control Engineering |
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| Online Access: | https://www.tandfonline.com/doi/10.1080/21642583.2024.2347886 |
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| author | Zengbo Dong Peng Yang Qian Li Mingxiao Zhang Yujian Chang Shuohe Wang |
| author_facet | Zengbo Dong Peng Yang Qian Li Mingxiao Zhang Yujian Chang Shuohe Wang |
| author_sort | Zengbo Dong |
| collection | DOAJ |
| description | As the construction of new power systems centred around renewable energy gains traction, the installed capacity of new energy sources has experienced explosive growth. Research has shown that the actual external characteristics of inductors and capacitors in circuits exhibit fractional order characteristics. As a core device in dual active bridge converters, the non-integer order of inductors and capacitors has an important impact on their dynamic performance, frequency domain characteristics, and control system design. This paper conducts modelling and control research on dual active bridge converters based on fractional-order calculus theory. First, based on the definition of fractional-order calculus, according to the operating mode of the fractional-order dual active bridge converter and the characteristics of fractional-order components, The fractional-order state space average model was established, and the influence of the order of inductance and capacitance on the amplitude frequency characteristics, phase frequency characteristics and dynamic performance of the converter was analyzed. Secondly, the average model and circuit model were built on the MATLAB/Simulink simulation platform, and the simulation results under different fractional orders were compared. Finally, in order to further improve the control performance of the converter, a fractional-order [Formula: see text] control strategy is designed based on the established state space average model of the fractional-order dual active bridge converter and based on the transfer function from the control to the output of the fractional-order dual active bridge converter. The research results show that the fractional-order model can more accurately describe the actual characteristics of the converter. In addition, the fractional-order controller [Formula: see text] enables the fractional-order dual active bridge converter to obtain better robustness and improve the dynamic performance of the converter. |
| format | Article |
| id | doaj-art-80b75e40f12244d9a3da2e7ab292db45 |
| institution | Kabale University |
| issn | 2164-2583 |
| language | English |
| publishDate | 2024-12-01 |
| publisher | Taylor & Francis Group |
| record_format | Article |
| series | Systems Science & Control Engineering |
| spelling | doaj-art-80b75e40f12244d9a3da2e7ab292db452024-12-17T09:06:12ZengTaylor & Francis GroupSystems Science & Control Engineering2164-25832024-12-0112110.1080/21642583.2024.2347886Fractional order modelling and optimal control of dual active bridge convertersZengbo Dong0Peng Yang1Qian Li2Mingxiao Zhang3Yujian Chang4Shuohe Wang5State Grid Hebei Electric Power Co., Ltd, Shijiazhuang, People’s Republic of ChinaState Grid Hebei Electric Power Co., Ltd, Shijiazhuang, People’s Republic of ChinaState Grid Hebei Electric Power Co., Ltd, Shijiazhuang, People’s Republic of ChinaSchool of Electrical and Electronic Engineering, Shijiazhuang Tiedao University, Shijiazhuang, People’s Republic of ChinaSchool of Electrical and Electronic Engineering, Shijiazhuang Tiedao University, Shijiazhuang, People’s Republic of ChinaSchool of Electrical and Electronic Engineering, Shijiazhuang Tiedao University, Shijiazhuang, People’s Republic of ChinaAs the construction of new power systems centred around renewable energy gains traction, the installed capacity of new energy sources has experienced explosive growth. Research has shown that the actual external characteristics of inductors and capacitors in circuits exhibit fractional order characteristics. As a core device in dual active bridge converters, the non-integer order of inductors and capacitors has an important impact on their dynamic performance, frequency domain characteristics, and control system design. This paper conducts modelling and control research on dual active bridge converters based on fractional-order calculus theory. First, based on the definition of fractional-order calculus, according to the operating mode of the fractional-order dual active bridge converter and the characteristics of fractional-order components, The fractional-order state space average model was established, and the influence of the order of inductance and capacitance on the amplitude frequency characteristics, phase frequency characteristics and dynamic performance of the converter was analyzed. Secondly, the average model and circuit model were built on the MATLAB/Simulink simulation platform, and the simulation results under different fractional orders were compared. Finally, in order to further improve the control performance of the converter, a fractional-order [Formula: see text] control strategy is designed based on the established state space average model of the fractional-order dual active bridge converter and based on the transfer function from the control to the output of the fractional-order dual active bridge converter. The research results show that the fractional-order model can more accurately describe the actual characteristics of the converter. In addition, the fractional-order controller [Formula: see text] enables the fractional-order dual active bridge converter to obtain better robustness and improve the dynamic performance of the converter.https://www.tandfonline.com/doi/10.1080/21642583.2024.2347886Fractional order double active bridge converterfractional order PI controlleroptimal controlgenetic algorithm |
| spellingShingle | Zengbo Dong Peng Yang Qian Li Mingxiao Zhang Yujian Chang Shuohe Wang Fractional order modelling and optimal control of dual active bridge converters Systems Science & Control Engineering Fractional order double active bridge converter fractional order PI controller optimal control genetic algorithm |
| title | Fractional order modelling and optimal control of dual active bridge converters |
| title_full | Fractional order modelling and optimal control of dual active bridge converters |
| title_fullStr | Fractional order modelling and optimal control of dual active bridge converters |
| title_full_unstemmed | Fractional order modelling and optimal control of dual active bridge converters |
| title_short | Fractional order modelling and optimal control of dual active bridge converters |
| title_sort | fractional order modelling and optimal control of dual active bridge converters |
| topic | Fractional order double active bridge converter fractional order PI controller optimal control genetic algorithm |
| url | https://www.tandfonline.com/doi/10.1080/21642583.2024.2347886 |
| work_keys_str_mv | AT zengbodong fractionalordermodellingandoptimalcontrolofdualactivebridgeconverters AT pengyang fractionalordermodellingandoptimalcontrolofdualactivebridgeconverters AT qianli fractionalordermodellingandoptimalcontrolofdualactivebridgeconverters AT mingxiaozhang fractionalordermodellingandoptimalcontrolofdualactivebridgeconverters AT yujianchang fractionalordermodellingandoptimalcontrolofdualactivebridgeconverters AT shuohewang fractionalordermodellingandoptimalcontrolofdualactivebridgeconverters |