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

Yıl 2025, Cilt: 26 Sayı: 2, 61 - 75, 31.12.2025

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

https://doi.org/10.59314/tujes.1724085

Öz

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.

Anahtar Kelimeler

Conformable Fractional Derivative , Fractional diffusion , In-Cable Water Diffusion , Material Properties , Water Absorption Test , XLPE

Etik Beyan

This study has been supported through the project UPN-2404 funded by the research and development center of Ünika Üniversal Kablo Sanayi ve Tic. A.Ş.

Destekleyen Kurum

Development Center of Ünika Üniversal Kablo Sanayi ve Tic. A.Ş.

Proje Numarası

UPN-2404

Teşekkür

The researchers are thankful to Hakan Çanta, Metin Yurtsever, and Tufan Alpözgen for their assistance

Uzun Süreli Bir Kablo Su Emme Testi Sırasında XLPE'nin Kapasitans Değişimini Modellemek İçin Uyumlu Kesirli Türev Kullanımı

Öz

Kablolardaki su difüzyonu çalışmaları, çeşitli mühendislik uygulamalarında kablo malzemelerinin güvenilirliği ve ömrü üzerindeki etkisi nedeniyle önemli ölçüde ilgi görmektedir. Bir kabloya nem girişi, mekanik ve elektriksel özelliklerde değişimlere neden olabilir; bu da altta yatan difüzyon mekanizmalarının anlaşılmasını hayati kılar. Geleneksel modeller bu süreci genellikle zaman ve uzayda homojenlik varsayarak basitleştirir ve dolayısıyla uygulamada gözlemlenen karmaşık davranışları hesaba katmakta yetersiz kalır. Bu çalışma, kablolarda su emme testi sırasında meydana gelen difüzyon davranışından kaynaklanan yalıtkan kapasitansını modellemek için Uyumlu kesirli türev yaklaşımını ele almaktadır. Su difüzyonuna bağlı olarak kablo yalıtkanının kapasitansı zamana bağlı bir süreç olarak değerlendirilmiştir. Eşdeğer kapasitans zamanın bir üs fonksiyonu olarak ifade edilmiştir. Uyumlu kesirli türevin modellemedeki doğruluğu, esnekliği ve avantajları vurgulanmaktadır. Modelin doğruluğu, deneysel verilerle test edilmiştir. Kesirli türev yaklaşımı, güç kablosu mühendisliği uygulamalarında su emme sürecinin yalıtkan kapasitansına etkisini daha iyi anlamak ve modellemek için yeni bir bakış açısı sunmaktadır.

Anahtar Kelimeler

Uyumlu Kesirli Türev , Kesirli Difüzyon , Kablo içi Su Difüzyonu , Malzeme Özellikleri Su yutma testi , XLPE

Proje Numarası

UPN-2404

Teşekkür

.

Kaynakça

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