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Stability Analysis of Fractional-order Cuk Converter Based on Describing Function Method
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Yanfeng CHEN  Senior Member, CPSS, Xin WANG, Bo ZHANG  Fellow, CPSS, Sheng CHEN
Journal of Power Supply | 2025, 23(4) : 120 - 136
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Journal of Power Supply | 2025, 23(4): 120-136
• Modeling and Control •
Stability Analysis of Fractional-order Cuk Converter Based on Describing Function Method
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Yanfeng CHEN  Senior Member, CPSS, Xin WANG, Bo ZHANG  Fellow, CPSS, Sheng CHEN
Affiliations
  • School of Electric Power Engineering, South China University of Technology, Guangzhou 510640, China
Published: 2025-07-30 doi: 10.13234/j.issn.2095-2805.2025.4.120
Outline
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The modeling and stability analysis methods for a fractional-order Cuk converter closed-loop system are proposed. First, the transfer function of a PWM-controlled fractional-order Cuk converter closed-loop system is analyzed, and the nonlinear links of its control system are modeled to obtain a describing function model for the fractional-order Cuk converter closed-loop system. Then, the effect of fractional-order component order on the stability of the converter closed-loop system is analyzed using an improved Nyquist stability criterion. Finally, the accuracy of the modeling and stability analysis methods for the fractional-order converter closed-loop system was verified by simulations and an RT Box platform.

Fractional-order Cuk converter  /  describing function method  /  improved Nyquist stability criterion
陈艳峰中国电源学会高级会员, 汪鑫, 张波中国电源学会会士, 陈生. 基于描述函数法的分数阶Cuk变换器稳定性分析. 电源学报, 2025 , 23 (4) : 120 -136 . DOI: 10.13234/j.issn.2095-2805.2025.4.120
Yanfeng CHEN, Xin WANG, Bo ZHANG, Sheng CHEN. Stability Analysis of Fractional-order Cuk Converter Based on Describing Function Method[J]. Journal of Power Supply, 2025 , 23 (4) : 120 -136 . DOI: 10.13234/j.issn.2095-2805.2025.4.120
Funding
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  • National Natural Science Foundation of China(52077085)
  • Natural Science Foundation of Guangdong Province(2023A1515012273)
Appendix
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Year 2025 volume 23 Issue 4
82
14
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Article Info
doi: 10.13234/j.issn.2095-2805.2025.4.120
  • Receive Date：2024-01-18
  • Online Date：2026-10-26
  • Published：2025-07-30
Article Data
Affiliations
History
  • Received：2024-01-18
  • Revised：2024-03-13
  • Accepted：2024-03-24
Funding
National Natural Science Foundation of China(52077085)
Natural Science Foundation of Guangdong Province(2023A1515012273)
Affiliations
    School of Electric Power Engineering, South China University of Technology, Guangzhou 510640, China
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表12种不同金属材料的力学参数
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Number of
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Number of
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小菇科 Mycenaceae 2 12 5.74 丝盖伞属 Inocybe 5 2.39
多孔菌科 Polyporaceae 8 14 6.70 蜡蘑属 Laccaria 5 2.39
红菇科 Russulaceae 3 23 11.00 小皮伞属 Marasmius 6 2.87
小菇属 Mycena 11 5.26
光柄菇属 Pluteus 5 2.39
红菇属 Russula 17 8.13
栓菌属 Trametes 5 2.39
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