Open Access
Subscription Access
Modelling of Electrical Cable Parameters and Fault Detection using Fourier Series
Abstract
The choice of a reliable and efficient cable has been of utmost concern to power Engineers and researchers for it enables an adequate energy supply. So many models have been considered to design either voltage or current and/or fault locations in cables. In this work, the focus is to model three-phase voltage and current as parameters of a high-voltage cable and to detect possible faults along its length with the aid of MATLAB /Simulink. The parameters of the cable-three-phase voltage and current are measured with their respective Fourier transformations. Equations parameters are determined using the Fourier transform. The system is then checked for the presence of fault and if yes, the type of fault is displayed. It is found that the presence of λ in the modelled voltage equation is significant because it represents how far the current travels along the length of the dendrite. The greater the rm, the membrane resistance, the more the current will remain inside the cytoplasm (internal fluids) of the dendrite to travel longitudinally. The more rL, or intracellular resistance, the harder it is for current to travel through the cytoplasm; hence the shorter the current can travel.
References
Amadi. H.N., Uwho, K.O. & Tebepah, E.A. (2024). Improvement of Power Quality: A Case Study of Eneka Town Hall, Eliozu and Akani Distribution Substations. International Journal of Engineering Research And Development. 20(1). 16-24.
Elagoun, A. & Seghier, T. (2023). Parameters that Influence the Partial Discharge Occurrence in Cavity Defect with Electrical Cable Insulation. Diagnostyka, 24(2), 1-11. https://doi.org/10.29354/diag/166378
Parmantier, J., Guiffaut, C., Roisse, D., Girard, C., et al. (2020). Modelling EM-Coupling on Electrical Cable-Bundles with a Frequency-Domain Field-to- Transmission line Model Based on Total Electric Fields. Advanced Electromagnetics, 9 (3), 15-31.
Buhari, M., Levi, V. & Awadallah, S. K. E. (2015). Modelling of Ageing Distribution Cable for replacement Planning. IEEE Transactions on Power Systems, 1-8. DOI:10.1109/TPWRS.2015.2499269.
Li, M. Zhou, C. & Zhou, W. (2019). A Revised Model for Calculating HV Cable Sheath Current under Short- Circuit Fault Condition and its Application for Fault Location-Part 1: The Revised Model. IEEE Transactions on Power Delivery, 34(4),1674-1683.https://doi.org/10.1109/TPWRD.2019.2918159
Santos, V.D., Roux, N., Revol, B., Sareni, B., Cougo, B. & Carayon, J. (2017). Unshielded Cable Modeling for Conducted Emissions Issues in Electrical Power Drive Systems. 2017 International Symposium on Electromagnetic Compatibility (EMC EUROPE), September 2017, France, 1-6. hal- 01656080
Kropotin, O., Tkachenko, V., Shepelev, A., Petrova, E., et al. (2019). Mathematical Model of XLPE Insulated Cable Power Line with Underground Installation. OMSK State Technical University, Russian Federation. doi.10.15199/48.2019.06.14
Bogarra, S., Riba, J.R., Sala-Caselles, V. & Garcia, A. (2017). Optimal Fitting of High Frequency Cable Model Parameters by Applying Evolutionary Algorithms. International Journal of Electrical Power & Energy Systems. doi:10.1016/j.ijepes.2016.11.006
Wunsch, B., Stevanovic, I. & Skibin, S. (2017). Length-Scalable Multiconductor Cable Modeling for EMI Simulations in Power Electronics. IEEE Transactions on Power Electronics, 32 (3), 1908-1916.
Morales, J., Xue, H., Mahseredjian, J. & Kocar, I. (2023). A New Tool for Calculation of Lines and Cable Parameters. International Conference on Power Systems Transients (IPS72023) in Thessaloniki, Greece, June 12-15, 2023.
Refbacks
- There are currently no refbacks.