Using the Conformable Fractional Derivative to Model the Capacitance Variation of XLPE During a Prolonged Cable Water Absorption Test

Authors : Lütfi Ulusoy, Reşat Mutlu, Avşin Öztaş, Sinem Şahin, Fatih Yerişenoğlu

Pages : 61-75

Doi:10.59314/tujes.1724085

View : 82 | Download : 183

Publication Date : 2025-12-31

Article Type : Research Paper

Abstract :The study of water diffusion in cables has garnered significant attention due to its impact on the reliability and longevity of cable materials in diverse engineering applications. Moisture intrusion in a cable can result in changes in mechanical and electrical properties, making it essential to understand the underlying diffusion mechanisms. Traditional models often oversimplify this process, assuming homogeneity in time and space, and therefore fail to account for the nuanced behaviours observed in practice. This study addresses the Conformable fractional derivative approach to model the insulator capacitance of the power cable wrestling from the diffusion behaviour of water within cables during the water absorption test. The capacitance of the cable insulator due to water diffusion is evaluated as a process dependent on time. Equivalent capacitance is expressed as a power function of time. The accuracy, flexibility, and advantages of the conformable fractional derivative in modelling are implied. The accuracy of the model has been tested with experimental data. The fractional derivative offers a new perspective for better understanding and modelling the effect of the water absorption process on the insulator capacitance in power cable engineering applications.
Keywords : Uyumlu Kesirli Türev, Kesirli Difüzyon, Kablo içi Su Difüzyonu, Malzeme Özellikleri Su yutma testi, XLPE

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