The classical minimization of power losses in transmission lines is dominated by artificial intelligence techniques, which do not guarantee global optimum amidst local minima. Revolutionary and evolutionary techniques are encumbered with sophisticated transformations, which weaken the techniques. Power loss minimization is crucial to the efficient design and operation of power transmission lines. Minimization of losses is one way to meet steady grid supply, especially at peak demand. Thus, this paper has presented a gradient technique to obtain optimal variables and values from the power loss model, which efficiently minimizes power losses by modifying the traditional power loss model that combines Ohm and Corona losses. Optimality tests showed that the unmodified model does not support the minimization of power losses on transmission lines as the Hessian matrix portrayed the maximization of power losses. However, the modified model is consistent with the gradient method of optimization, which yielded optimum variables and values from the power loss model developed in this study. The unmodified (modified) models for Bujagali-Kawanda 220 kV and Masaka West-Mbarara North 132 kV transmission lines in Uganda showed maximum power losses of 0.406 (0.391) and 0.452 (0.446) kW/km/phase respectively. These results indicate that the modified model is superior to the unmodified model in minimizing power losses in the transmission lines and should be implemented for the efficient design and operation of power transmission lines within and outside Uganda for the same transmission voltages.
KeywordsMinimizationPower LossesTransmission LinesCorona and Ohms LossesTransmission Model
Jenkins, N. and Thornycroft, J. (2018) Grid Connection of Photovoltaic Systems: Technical and Regulatory Issues. In: McEvoy’s Handbook of Photovoltaics, Academic Press, Cambridge, 847-876. https://doi.org/10.1016/B978-0-12-809921-6.00022-7
Maza-Ortega, J.M., Acha, E., García, S. and Gómez-Expósito, A. (2017) Overview of Power Electronics Technology and Applications in Power Generation Transmission and Distribution. Journal of Modern Power Systems and Clean Energy, 5, 499-514. https://doi.org/10.1007/s40565-017-0308-x
Wain-Martin, A., Campana, R., Morán-Ruiz, A., et al. (2020) Synthesis and Processing of SOFC Components for the Fabrication and Characterization of Anode Supported Cells. Boletín de la Sociedad Espa?ola de Cerámica y Vidrio, 61, 264-274. https://doi.org/10.1016/j.bsecv.2020.11.008
Yahaya, E.A., Jacob, T., Nwohu, M.N. and Sadiq, A.A. (2013) Power Loss Due to Corona on High Voltage Transmission Lines. IOSR Journal of Electrical and Electronics Engineering, 8, 14-19. https://doi.org/10.9790/1676-0831419
Tonmitr, K. and Ratanabuntha, T. (2016) Comparison of Power Loss Due to Corona Phenomena Model with Peek’s Formula in High Voltage 115 kV and 230 kV System. Procedia Computer Science, 86, 385-388. https://doi.org/10.1016/j.procs.2016.05.037
Tonmitr, K., Ratanabuntha, T., Tonmitr, N. and Kaneko, E. (2016) Reduction of Power Loss from Corona Phenomena in High Voltage Transmission Line 115 and 230 kV. Procedia Computer Science, 86, 381-384. https://doi.org/10.1016/j.procs.2016.05.108
Saleem, M.Z., Kamran, M., Amin, S. and Ullah, R. (2020) Investigation on Dielectric Properties of Chlorodifluoromethane and Mixture with Other N2/CO2/Air as a Promising Substitute to SF6 in High Voltage Application. Electrical Engineering, 102, 2341-2348. https://doi.org/10.1007/s00202-020-01034-2 https://www.springerprofessional.de/en/investigation-on-dielectric-properties-of-chlorodifluoromethane-/18080998
Jorge, R.S. and Hertwich, E.G. (2013) Environmental Evaluation of Power Transmission in Norway. Applied Energy, 101, 513-520. https://doi.org/10.1016/j.apenergy.2012.06.004
Mahdy, A.M., Lotfy, K., Ahmed, M.H., et al. (2020) Electromagnetic Hall Current Effect and Fractional Heat Order for Microtemperature Photo-Excited Semiconductor Medium with Laser Pulses. Results in Physics, 17, Article ID: 103161. https://doi.org/10.1016/j.rinp.2020.103161
Waseem, M. and Manshadi, S.D. (2020) Electricity Grid Resilience amid Various Natural Disasters: Challenges and Solutions. The Electricity Journal, 33, Article ID: 106864. https://doi.org/10.1016/j.tej.2020.106864
Sathaye, J.A., Dale, L.L., Larsen, P.H., et al. (2013) Estimating Impacts of Warming Temperatures on California’s Electricity System. Global Environmental Change, 23, 499-511. https://doi.org/10.1016/j.gloenvcha.2012.12.005
Lalbakhsh, A., Simorangkir, R.B., Bayat-Makou, N., et al. (2022) Advancements and Artificial Intelligence Approaches in Antennas for Environmental Sensing. In: Asadnia, M., Razmjou, A. and Beheshti, A., Eds., Artificial Intelligence and Data Science in Environmental Sensing, Elsevier, Amsterdam, 19-38. https://www.elsevier.com/books/artificial-intelligence-and-data-science-in-environmental-sensing/asadnia/978-0-323-90508-4 https://doi.org/10.1016/B978-0-323-90508-4.00004-6
Shariatinasab, R. and Gholinezhad, J. (2017) The Effect of Grounding System Modeling on Lightning-Related Studies of Transmission Lines. Journal of Applied Research and Technology, 15, 545-554. https://doi.org/10.1016/j.jart.2017.06.003
Pourakbari-Kasmaei, M. and Lehtonen, M. (2020) Enhancing the Protective Performance of Surge Arresters against Indirect Lightning Strikes via an Inductor-Based Filter. Energies, 13, 4754. https://doi.org/10.3390/en13184754
Doychinov, Y. Research of the Didactic Features in the Game Design Education. Sessions Schedule & Abstracts Програма & Резюмета. 125. https://scholar.google.com/citations?user=OqPzw4UAAAAJ&hl=bg
Du Plessis, A., MacDonald, E., Waller, J.M. and Berto, F. (2021) Non-Destructive Testing of Parts Produced by Laser Powder Bed Fusion. In: Fundamentals of Laser Powder Bed Fusion of Metals, Elsevier, Amsterdam, 277-300. https://www.elsevier.com/books/fundamentals-of-laser-powder-bed-fusion-of-metals/yadroitsev/978-0-12-824090-8 https://doi.org/10.1016/B978-0-12-824090-8.00016-0
Yamaguchi, M., Suezawa, K., Takahashi, Y., et al. (2000) Magnetic Thin-Film Inductors for RF-Integrated Circuits. Journal of Magnetism and Magnetic Materials, 215, 807-810. https://doi.org/10.1016/S0304-8853(00)00293-6
Patil, N., Vijay, K.E. and Kulkarni, G.A. (2020) Power Losses Minimization in Transmission System Using Particle Swarm Optimization and Salp Swarm Algorithm. European Journal of Molecular and Clinical Medicine, 7, 2020. https://ejmcm.com/article_1818.html
Monshizadeh, S., Uhlen, K. and Hegglid, G.J. (2020) Transmission Loss Minimization Using Artificial Intelligent Algorithm for Nordic44 Network Model Based on Hourly Load Variation. IFAC-PapersOnLine, 53, 13254-13261. https://doi.org/10.1016/j.ifacol.2020.12.154
Baharozu, E., Soykan, G., Altay, O. and Kalenderli, O. (2015) An Improved Particle Swarm Optimization Method to Optimal Reactive Power Flow Problems. 2015 9th International Conference on Electrical and Electronics Engineering (ELECO), Bursa, 26-28 November 2015, 991-995. https://doi.org/10.1109/ELECO.2015.7394600
Olorunfemi, T.R. and Nwulu, N.A. (2020) Review of Mathematical Optimization Applications in Renewable Energy-Powered Microgrids. In: Advances in Manufacturing Engineering, Springer, Singapore, 603-613. https://doi.org/10.1007/978-981-15-5753-8_55
Nadeem, M., Imran, K., Khattak, A., et al. (2020) Optimal Placement, Sizing and Coordination of FACTS Devices in Transmission Network Using Whale Optimization Algorithm. Energies, 13, 753. https://doi.org/10.3390/en13030753
Naima, K., Fadela, B., Imene, C. and Abdelkader, C. (2015) Use of Genitic Algorithm and Particle Swarm Optimisation Methods for the Optimal Control of the Reactive Power in Western Algerian Power System. Energy Procedia, 74, 265-272. https://doi.org/10.1016/j.egypro.2015.07.597
Kumar, A.S. (2013) Corona Effect on Transmission Lines. International Journal of Electrical and Electronics Engineering Research (IJEEER), 3, 133-136. https://www.ijser.org/researchpaper/Effect-of-Corona-on-Transmission-Lines-due-to-its-linked-Parameters.pdf
Kuru, L., Ozturk, A., Kuru, E. and Cobanli, S. (2016) Smanjenje gubitka aktivne snage u elektro-energetskim sustavima primjenom algoritma kaoti?ne umjetne kolonije p?ela. Tehni?ki Vjesnik, 23, 491-498.
Nusair, K.N. and Alomoush, M.I. (2017) Optimal Reactive Power Dispatch Using Teaching Learning Based Optimization Algorithm with Consideration of FACTS Device “STATCOM”. 2017 10th Jordanian International Electrical and Electronics Engineering Conference (JIEEEC), Amman, 16-17 May 2017, 1-12. https://doi.org/10.1109/JIEEEC.2017.8051398
Jagun, Z.O., Olajide, M.B., Wokoma, B.A. and Osegi, E.N. (2021) Power Loss Minimization Load Flow Studies Using Artificial Bee Colony Swarm Intelligence Technique. Nigerian Journal of Technology, 40, 728-731. https://doi.org/10.4314/njt.v40i4.19
Badar, A.Q., Umre, B.S. and Junghare, A.S. (2012) Reactive Power Control Using Dynamic Particle Swarm Optimization for Real Power Loss Minimization. International Journal of Electrical Power & Energy Systems, 41, 133-136. https://doi.org/10.1016/j.ijepes.2012.03.030
Bamigbola, O.M., Ali, M.M. and Awodele, K.O. (2014) Predictive Models of Current, Voltage, and Power Losses on Electric Transmission Lines. Journal of Applied Mathematics, 2014, Article ID: 146937. https://doi.org/10.1155/2014/146937
Bamigbola, O.M., Ali, M.M. and Oke, M.O. (2014) Mathematical Modeling of Electric Power Flow and the Minimization of Power Losses on Transmission Lines. Applied Mathematics and Computation, 241, 214-221. https://doi.org/10.1016/j.amc.2014.05.039
Sharma, S., Goel, K., Gupta, A. and Kumar, H. (2012) Corona Effects on eHv AC Transmission Lines. International Journal of Scientific Research Engineering & Technology, 1, 160-164.
Bisiriyu, A.O., Ajetunmobi, E.O., Omotayo, M.E. and Adeshola, M. (2017) Analysis of Corona Loss on the Nigerian 28-Bus, 330 kV Transmission Grid. International Journal of Science and Research (IJSR), 6, 2009-2011. https://doi.org/10.21275/ART20175355
Kuchanskyy, V. and Zaitsev, I.O. (2020) Corona Discharge Power Losses Measurement Systems in Extra High Voltage Transmissions Lines. 2020 IEEE 7th International Conference on Energy Smart Systems (ESS), Kyiv, 12-14 May 2020, 48-53. https://doi.org/10.1109/ESS50319.2020.9160088
Simeon, M., Tita, W.S., Adejumobi, I.A. and Elizabeth, A. (2018) Minimization of Active Transmission Loss in Power Systems Using Static Var Compensator. International Journal of Applied Engineering Research, 13, 4951-4959. https://www.ripublication.com/ijaer18/ijaerv13n7_47.pdf
Ali, B. and Siddique, I. (2016) Effect of Corona on Transmission Lines Due to Its Linked Parameters. International Journal of Scientific & Engineering Research, 7, 581-583. https://www.ijser.org/researchpaper/Effect-of-Corona-on-Transmission-Lines-due-to-its-linked-Parameters.pdf
Omeje, C.O. (2020) Corona Loss Minimization on High Voltage Transmission Line Network Using Bundled Conductors. The International Journal of Engineering and Advanced Technology, 9, 887-891. https://doi.org/10.35940/ijeat.C5363.029320
Yaabari, N., Otubu, O.P. and Ojah, O.S. (2021) Impact of High Voltage Transmission on I2R Losses Using a Simplified ETAP Model. American Journal of Engineering, 10, 208-213. https://www.ajer.org/papers/Vol-10-issue-12/U1012208213.pdf
Llamo-Laborí, H.S. and Santos-Fuentefria, A. (2022) A New Method to Calculate Corona Losses for Active Conductors Considering Real Transmission Line Unbalance. The Journal of Engineering, 2022, 725-731. https://doi.org/10.1049/tje2.12155
Ogar, V.N., Bendor, S.A. and James, A.E. (2017) Analysis of Corona Effect on Transmission Line. American Journal of Engineering Research, 6, 75-87. https://www.ajer.org/papers/Vol-10-issue-12/U1012208213.pdf
Al-Issa, H.A., Drechny, M., Trrad, I., et al. (2022) Assessment of the Effect of Corona Discharge on Synchronous Generator Self-Excitation. Energies, 15, 2024. https://doi.org/10.3390/en15062024
Al-Hamouz, Z.M. (2019) Corona Power Loss versus Ohmic Power Loss in HYDC Transmission Lines. Department of Electrical Engineering. King Fahd University of Petroleum and Minerals, Dhahran.
Hünnekens, B., Avramidis, G., Ohms, G., et al. (2018) Impact of Plasma Treatment under Atmospheric Pressure on Surface Chemistry and Surface Morphology of Extruded and Injection-Molded Wood-Polymer Composites (WPC). Applied Surface Science, 441, 564-574. https://doi.org/10.1016/j.apsusc.2018.01.294
UETCL (2022) Electricity Transmission for Sustainable Regional Development. https://uetcl.go.ug