Whale Optimization Technique Based Economic Load Dispatch
Article Sidebar
Main Article Content
Abstract
This study concentrates on optimizing the Economic Load Dispatch (ELD) for three major Nigerian power systems: Sapele, Jebba, and Egbin. These systems, each comprising varying numbers of generating units and facing fluctuating load demands ranging from 300 MW to 1000 MW, necessitate efficient resource allocation to minimize operational expenses. Employing the innovative Whale Optimization Algorithm (WOA), inspired by the cooperative behaviour of humpback whales, this research tackles the intricate non-linear characteristics of the ELD problem. The primary goal is to determine the ideal power generation timetable that reduces total generation costs while fulfilling power demand constraints. Through mathematical modelling, the power systems and their economic aspects are represented. The proposed WOA-based approach is implemented and juxtaposed against optimization methods to gauge its efficacy in achieving cost-effective load dispatch. In addition to the fast convergence characteristics of the optimization technique, the study reveals minimum optimal generation costs of 150,567 Naira/Hr, 189,352 Naira/Hr, and 244,075 Naira/Hr for the Sapele, Jebba, and Egbin power systems, respectively, under various load conditions. Conversely, maximum optimal generation costs reach 480,431 Naira/Hr, 590,871 Naira/Hr, and 750,453 Naira/Hr for the same systems, demonstrating the algorithm's adaptability to diverse load scenarios.
Article Details
References
Ahmed, Y., Saber, G. & Vinayagamoorthy, K. (2008). Economic Load Dispatch using Bacterial Foraging Technique with Particle Swarm Optimization Biased Evolution. In proceedings of the 2008 IEEE Swarm Intelligence Symposium, St. Louis, MO, USA. 12 - 21 DOI: https://doi.org/10.1109/SIS.2008.4668291
Alghamdi, A.S. (2022) Greedy Sine-Cosine Non-Hierarchical Grey Wolf Optimizer for Solving Non-Convex Economic Load Dispatch Problems. In proceedings of the 2022 Energies Conference, 15(1), 11, 3904. DOI: https://doi.org/10.3390/en15113904
Al-Betar, M.A., Awadallah, M.A., Makhadmeh, S.N., Abu Doush, I., Abu Zitar, R., Alshathri, S. & Elaziz, M.A. (2023) A hybrid Harris Hawks optimizer for economic load dispatch problems. Alexanderia Engineering Journal, 64(1), 365–389. DOI: https://doi.org/10.1016/j.aej.2022.09.010
Chaturvedi, K. T., Pandit, M. & Srivastava, L. (2008). Self-organizing hierarchical particle swarm optimization for nonconvex economic dispatch. IEEE Transactions on Power Systems, 23(3), 1079–1087. DOI: https://doi.org/10.1109/TPWRS.2008.926455
Chaturvedi, K. T., Solanki, R. & Patidar, N. P. (2014). A new modified particle swarm optimization (PSO) technique for non-convex economic dispatch. IOSR Journal of Electrical and Electronics Engineering, 9(6), 81-88. DOI: https://doi.org/10.9790/1676-09238188
Dai, B., Wang, F. & Chang, Y. (2022) Multi-objective economic load dispatch method based on data mining technology for large coal-fired power plants. Control Engineering Practice, 121, 105018. DOI: https://doi.org/10.1016/j.conengprac.2021.105018
Daniel, L. & Chaturvedi, K. T. (2019). Economic Load Dispatch Using Ant Lion Optimization. International Journal of Engineering Trends and Technology (IJETT), 67(4), 81–84. DOI: https://doi.org/10.14445/22315381/IJETT-V67I4P218
Hari, P. C., Subbaramaiah, K. & Sujatha, P. (2023). Optimal DG unit placement in distribution networks by multi-objective whale optimization algorithm & its techno-economic analysis. Electric Power Systems Research, 214, 1–11. DOI: https://doi.org/10.1016/j.epsr.2022.108869
Hassan, M.H., Kamel, S., Eid, A., Nasrat, L., Jurado, F. & Elnaggar, M.F. (2023) A developed eagle-strategy supply-demand optimizer for solving economic load dispatch problems. Ain Shams Engineering Journal, 14, 32–46. DOI: https://doi.org/10.1016/j.asej.2022.102083
Hermagasantos Z., Jangkung R. & Ignatius R. M., (2022) A Method for Completing Economic Load Dispatch Using the Technique of Narrowing Down Area," In proceedings of the 2022 IEEE Access, 10(1), 30822-30831. DOI: https://doi.org/10.1109/ACCESS.2022.3158928
Kamboj, V. K., Bhadoria, A., & Bath, S. K. (2017). Solution of non-convex economic load dispatch problem for small-scale power systems using ant lion optimizer. Neural Computing and Applications, 28(8), 2117–2130. DOI: https://doi.org/10.1007/s00521-015-2148-9
Kennedy, J., & Eberhart, R. (1995). Particle swarm optimization. In the Proceedings of the 1995 IEEE International Conference on Neural Networks, 4(1), 1942-1948. DOI: https://doi.org/10.1109/ICNN.1995.488968
Lu, X., Li, H., Zhou, K., & Yang, S. (2023) Optimal load dispatch of energy hub considering uncertainties of renewable energy and demand response. Energy, 262(1), 285–307 DOI: https://doi.org/10.1016/j.energy.2022.125564
Mandal, B., Roy, P. K. & Bhattacharya, K. (2012). Hybridization of Particle Swarm Optimization with Biogeography Based Optimization to Solve Economic Load Dispatch Considering Spinning Reserve and Other Non-Linearities. In IEEE - International Conference on Advances in Engineering, Science and Management, 4(1), 403–408.
Mirjalili, S. (2015). The Ant Lion Optimizer. Advanced Engineering Software. DOI: https://doi.org/10.1016/j.advengsoft.2015.01.010
Naresh, R., Dubey, J. & Sharma, J. D. (2004). Two Phase neural network-based framework modelling of constrained economic load dispatch. IEE Proceedings - Generation, Transmission and Distribution, 151(3), 373–380. DOI: https://doi.org/10.1049/ip-gtd:20040381
Niknam, T. & Narimani, M. R. (2010). A new fuzzy adaptive PSO for non-convex economic dispatch problems. Energy Conversion and Management, 49(12), 3354-3362.
Said, M., Houssein, E.H., Deb, S., Ghoniem, R.M. & Elsayed, A.G. (2022), Economic Load Dispatch Problem Based on Search and Rescue Optimization Algorithm. IEEE Access, 10, 47109–47123 DOI: https://doi.org/10.1109/ACCESS.2022.3168653
Youssef, H. K. & El-Naggar, K. M. (2000). Genetic based algorithm for security constrained power system economic dispatch. Electric Power Systems Research, 53, 4751–4759. DOI: https://doi.org/10.1016/S0378-7796(99)00039-5
Zhang, X.-Y., Hao, W.-K., Wang, J.-S., Zhu, J.-H., Zhao, X.-R., & Zheng, Y. (2023) Manta ray foraging optimization algorithm with mathematical spiral foraging strategies for solving economic load dispatching problems in power systems. Alexanderia Engineering Journal, 70, 613–640. DOI: https://doi.org/10.1016/j.aej.2023.03.017
Elutunji, B., Temitayo O. E., & Oladimeji J. A. (2017) Optimization of an Expanded Nigeria Electricity Grid System using Economic Load Dispatch. ABUAD Journal of Engineering Research and Development (AJERD), 1(1). 1-6.