# Numerical Calculation of Two-Dimensional Subsea Cable Tension Problem Using Minimization Approach

## Authors

• Nur Azira Jasman Department of Mathematical Sciences Universiti Teknologi Malaysia 81310 UTM Johor Bahru, Malaysia
• Nur Adlin Lina Normisyidi Department of Structure and Materials, Universiti Teknologi Malaysia 81310 UTM Johor Bahru, Malaysia
• Yeak Sue Hoe Department of Mathematical Sciences Universiti Teknologi Malaysia 81310 UTM Johor Bahru, Malaysia
• Ahmad Razin Zainal Abidin Department of Structure and Materials, Universiti Teknologi Malaysia 81310 UTM Johor Bahru, Malaysia
• Mohd Ridza Mohd Haniffah Department of Water and Environmental Engineering, Universiti Teknologi Malaysia 81310 UTM Johor Bahru, Malaysia

## Abstract

Subsea cable laying is a risky and challenging operation faced by engineers, due to many uncertainties arise during the operation. In order to ensure that subsea cables are laid out diligently, the analysis of subsea cable tension during the laying operation is crucial. This study focuses on the fatigue failure of cables that will cause large hang-off loads based on catenary configuration after laying operation. The presented problem was addressed using mathematical modelling with consideration for a number of defining parameters, which include external forces such as current velocity and design parameters such as cable diameter. There were two types of subsea cable tension analyses studied: tensional analysis of catenary configurations and tensional analysis of lazy wave configurations. The latter involved a buoyancy module that was incorporated in the current catenary configuration that reduced subsea cable tension and enhanced subsea cable lifespan. Both analyses were solved using minimization through the gradient-based approach concerning on the tensional analysis of the subsea cable in different
configurations. Lazy wave configurations were shown to successfully reduce cable tension,
especially at the hang-off section.

31-12-2019

## How to Cite

Jasman, N. A., Normisyidi, N. A. L., Hoe, Y. S., Zainal Abidin, A. R., & Mohd Haniffah, M. R. (2019). Numerical Calculation of Two-Dimensional Subsea Cable Tension Problem Using Minimization Approach. MATEMATIKA, 35(4), 15–32. https://doi.org/10.11113/matematika.v35.n4.1261

Mathematics