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Article

A Circuit Model of a Charged Water Body Based on the Fractional Order Resistance-Capacitance Network

1
Foshan Power Supply Bureau, Guangdong Power Grid Co., Ltd., Foshan 528010, China
2
School of Mechatronic Engineering and Automation, Foshan University, Foshan 528225, China
*
Author to whom correspondence should be addressed.
Electronics 2025, 14(20), 3975; https://doi.org/10.3390/electronics14203975
Submission received: 7 August 2025 / Revised: 15 September 2025 / Accepted: 23 September 2025 / Published: 10 October 2025

Abstract

Designing an effective electrical model for charged water bodies is of great significance in reducing the risk of electric shock in water and enhancing the safety and reliability of electrical equipment. Aiming to resolve the problems faced in using existing charged water body modeling methods, a practical circuit model of a charged water body is developed. The basic units of the model are simply constructed using fractional-order resistance–capacitance (RC) parallel circuits. The state variables of the model can be obtained by solving the circuit equations. In addition, a practical method for obtaining the circuit model parameters is also developed. This enables the estimation of the characteristics of charged water bodies under different conditions through model simulation. The effectiveness of the proposed method is verified by comparing the estimated voltage and leakage current of the model with the actual measured values. The comparison results show that the estimated value of the model is close to the actual characteristics of the charged water body.
Keywords: charged water body model; parameter acquisition; fractional-order capacitor; RC network; parameter identification charged water body model; parameter acquisition; fractional-order capacitor; RC network; parameter identification

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MDPI and ACS Style

Liu, S.; Zeng, Y.; Zheng, W.; Lin, W.; Lin, M. A Circuit Model of a Charged Water Body Based on the Fractional Order Resistance-Capacitance Network. Electronics 2025, 14, 3975. https://doi.org/10.3390/electronics14203975

AMA Style

Liu S, Zeng Y, Zheng W, Lin W, Lin M. A Circuit Model of a Charged Water Body Based on the Fractional Order Resistance-Capacitance Network. Electronics. 2025; 14(20):3975. https://doi.org/10.3390/electronics14203975

Chicago/Turabian Style

Liu, Shisheng, Yonghao Zeng, Weijia Zheng, Weijian Lin, and Meijin Lin. 2025. "A Circuit Model of a Charged Water Body Based on the Fractional Order Resistance-Capacitance Network" Electronics 14, no. 20: 3975. https://doi.org/10.3390/electronics14203975

APA Style

Liu, S., Zeng, Y., Zheng, W., Lin, W., & Lin, M. (2025). A Circuit Model of a Charged Water Body Based on the Fractional Order Resistance-Capacitance Network. Electronics, 14(20), 3975. https://doi.org/10.3390/electronics14203975

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