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

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

doi:10.59314/tujes.1724085

EN TR

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

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

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

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

Kaynakça

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Ayrıntılar

Birincil Dil

İngilizce

Konular

Malzeme Tasarım ve Davranışları

Bölüm

Araştırma Makalesi

Yazarlar

Lütfi Ulusoy ^*
0000-0002-8180-6270
Türkiye

Reşat Mutlu
0000-0003-0030-7136
Türkiye

Avşin Öztaş
0009-0002-4237-9031
Türkiye

Sinem Şahin
0009-0007-6488-6065
Türkiye

Fatih Yerişenoğlu
0009-0001-7560-0145
Türkiye

Yayımlanma Tarihi

31 Aralık 2025

Gönderilme Tarihi

23 Haziran 2025

Kabul Tarihi

3 Aralık 2025

Yayımlandığı Sayı

Yıl 1970 Cilt: 26 Sayı: 2

DOI

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

IZ

https://izlik.org/JA39SR62FR

IEEE

[1]L. Ulusoy, R. Mutlu, A. Öztaş, S. Şahin, ve F. Yerişenoğlu, “Using the Conformable Fractional Derivative to Model the Capacitance Variation of XLPE During a Prolonged Cable Water Absorption Test”, TUJES, c. 26, sy 2, ss. 61–75, Ara. 2025, doi: 10.59314/tujes.1724085.

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

Abstract

Keywords

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

Öz

Anahtar Kelimeler

Kaynakça

Ayrıntılar

Birincil Dil

Konular

Bölüm

Yazarlar

Yayımlanma Tarihi

Gönderilme Tarihi

Kabul Tarihi

Yayımlandığı Sayı

DOI

IZ

Kaynak Göster