The economic dispatch problem in power systems is a classic issue in the field of power systems. This paper first uses the traditional genetic algorithm to solve the economic dispatch problem of power systems. The simulation results show that the classic genetic algorithm falls into the dilemma of local minimum values. Therefore, we introduce a multi-population genetic algorithm, setting different crossover and mutation probabilities in different populations, and introducing an immigration operator to replace the worst individuals in different populations with the best individuals found by various populations. The simulation results show that the introduction of the multi-population genetic algorithm avoids the algorithm falling into premature situations to a certain extent during the entire iteration process. Compared with the classic genetic algorithm, the optimal solution obtained by the multi-population genetic algorithm is obviously better than the optimal solution obtained by the classic genetic algorithm.
Cite this paper
Dang, Y. and Ren, Y. (2024). Solving the Economic Dispatch Problem of Power Systems Based on Multi-Population Genetic Algorithm. Open Access Library Journal, 11, e2522. doi: http://dx.doi.org/10.4236/oalib.1112522.
Kalakova, A., Nunna, H.S.V.S.K., Jamwal, P.K. and Doolla, S. (2021) A Novel Genetic Algorithm Based Dynamic Economic Dispatch with Short-Term Load Forecasting. IEEE Transactions on Industry Applications, 57, 2972-2982. https://doi.org/10.1109/tia.2021.3065895
Roy, P. and Chakrabarti, A. (2011) Modified Shuffled Frog Leaping Algorithm for Solving Economic Load Dispatch Problem. Energy and Power Engineering, 3, 551-556. https://doi.org/10.4236/epe.2011.34068
Ohaegbuchi, D.N., Maliki, O.S., Okwaraoka, C.P.A. and Okwudiri, H.E. (2022) Solution of Combined Heat and Power Economic Dispatch Problem Using Di-rect Optimization Algorithm. Energy and Power Engineering, 14, 737-746. https://doi.org/10.4236/epe.2022.1412040
Lin, W., Wandelt, S. and Sun, X. (2021) Efficient Network Dismantling through Genetic Algorithms. Soft Computing, 26, 3107-3125. https://doi.org/10.1007/s00500-021-06475-w
Chang, C. and Lin, C. (2021) Dormitory Assignment Using a Genetic Algorithm. Applied Artificial Intelligence, 35, 2276-2297. https://doi.org/10.1080/08839514.2021.1999595
Ermakov, S.M. and Semenchikov, D.N. (2019) Genetic Global Optimization Algorithms. Communications in Statistics-Simulation and Computation, 51, 1503-1512. https://doi.org/10.1080/03610918.2019.1672739
Nishida, K. (2022) Kernel Density Estimation by Genetic Algorithm. Journal of Statistical Computation and Simulation, 93, 1263-1281. https://doi.org/10.1080/00949655.2022.2134379
Petrovan, A., Matei, O. and Pop, P.C. (2022) A Comparative Study between Haploid Genetic Algorithms and Diploid Genetic Algorithms. Carpathian Journal of Mathematics, 39, 433-458. https://doi.org/10.37193/cjm.2023.02.08
Chen, H., Chen, C. and Wang, Y. (2022) Auto-Design of Mul-ti-Pass Cell with Small Size and Long Optical Path Length Using Parallel Multi-Population Genetic Algorithm. IEEE Sensors Journal, 22, 6518-6527. https://doi.org/10.1109/jsen.2022.3151847