Araştırma Makalesi
BibTex RIS Kaynak Göster

Yıl 2026, Cilt: 22 Sayı: 1 , 121 - 131 , 30.03.2026
https://doi.org/10.18466/cbayarfbe.1721752
https://izlik.org/JA83SD45FR

Öz

Kaynakça

  • [1] Tang, Y., Dvijotham, K., & Low, S. (2017). Real-time optimal power flow. IEEE Transactions on Smart Grid, 8(6), 2963-2973.
  • [2] Risi, B. G., Riganti-Fulginei, F., & Laudani, A. (2022). Modern techniques for the optimal power flow problem: State of the art. Energies, 15(17), 6387.
  • [3] Frank, S., & Rebennack, S. (2016). An introduction to optimal power flow: Theory, formulation, and examples. IIE transactions, 48(12), 1172-1197.
  • [4] Cain, M. B., O’neill, R. P., & Castillo, A. (2012). History of optimal power flow and formulations. Federal Energy Regulatory Commission, 1, 1-36.
  • [5] Cabadağ, R. I., Türkay, B. E., & Tunç, A. (2011). Optimal Güç Akışı Çözümlerinde Lineer Programlama ve İç nokta Algoritması Yöntemlerinin Karşılaştırmalı Analizi, II. Elektrik Tesisat Ulusal Kongresi, 24-27 Kasım 2011, İzmir.
  • [6] Ebeed, M., Kamel, S., & Jurado, F. (2018). Optimal power flow using recent optimization techniques. In Classical and recent aspects of power system optimization (pp. 157-183). Academic Press.
  • [7] Altay, E. V., & Altay, O. (2021). Güncel metasezgisel optimizasyon algoritmalarının CEC2020 test fonksiyonları ile karşılaştırılması. Dicle Üniversitesi Mühendislik Fakültesi Mühendislik Dergisi, 12(5), 729-741.
  • [8] Abdel-Basset, M., Abdel-Fatah, L., & Sangaiah, A. K. (2018). Metaheuristic algorithms: A comprehensive review. Computational intelligence for multimedia big data on the cloud with engineering applications, 185-231.
  • [9] Halim, A. H., Ismail, I., & Das, S. (2021). Performance assessment of the metaheuristic optimization algorithms: an exhaustive review. Artificial Intelligence Review, 54(3), 2323-2409.
  • [10] Nagarajan, K., Rajagopalan, A., Bajaj, M., Raju, V., & Blazek, V. (2025). Enhanced wombat optimization algorithm for multi-objective optimal power flow in renewable energy and electric vehicle integrated systems. Results in Engineering, 25, 103671.
  • [11] Shu, H., Zhao, H., & Liao, M. (2025). Optimal power flow in hybrid AC-DC systems considering Nk security constraints in the preventive-corrective control stage. Electric Power Systems Research, 238, 111052.
  • [12] Mahela, O. P., & Ola, S. R. (2013). Optimal capacitor placement for loss reduction in electric transmission system using genetic algorithm. TJPRC-International Journal of Electrical and Electronics Engineering Research, 3(2), 59-68.
  • [13] Mohamed, S. A., Anwer, N., & Mahmoud, M. M. (2025). Solving optimal power flow problem for IEEE-30 bus system using a developed particle swarm optimization method: towards fuel cost minimization. International Journal of Modelling and Simulation, 45(1), 307-320.
  • [14] Zhai, C., Zhang, H., Xiao, G., & Pan, T. C. (2019). A model predictive approach to protect power systems against cascading blackouts. International Journal of Electrical Power & Energy Systems, 113, 310-321.
  • [15] Hamadneh, T., Batiha, B., Gharib, G. M., Montazeri, Z., Dehghani, M., Aribowo, W., ... & Eguchi, K. (2025). Builder optimization algorithm: an effective human-inspired metaheuristic approach for solving optimization problems. International Journal of Intelligent Engineering and Systems, 18(3), 928-937.
  • [16] Dehghani, M., Hubálovský, Š., & Trojovský, P. (2021). Northern goshawk optimization: a new swarm-based algorithm for solving optimization problems. Ieee Access, 9, 162059-162080.
  • [17] Xie, L., Han, T., Zhou, H., Zhang, Z. R., Han, B., & Tang, A. (2021). Tuna swarm optimization: a novel swarm‐based metaheuristic algorithm for global optimization. Computational intelligence and Neuroscience, 2021(1), 9210050.
  • [18] Dehghani, M., Hubálovský, Š., & Trojovský, P. (2021). Cat and mouse based optimizer: a new nature-inspired optimization algorithm. Sensors, 21(15), 5214.
  • [19] Neshat, M., Sepidnam, G., & Sargolzaei, M. (2013). Swallow swarm optimization algorithm: a new method to optimization. Neural Computing and Applications, 23(2), 429-454.
  • [20] Taheri, A., RahimiZadeh, K., Beheshti, A., Baumbach, J., Rao, R. V., Mirjalili, S., & Gandomi, A. H. (2024). Partial reinforcement optimizer: An evolutionary optimization algorithm. Expert Systems with Applications, 238, 122070.
  • [21] Cheraghalipour, A., Hajiaghaei-Keshteli, M., & Paydar, M. M. (2018). Tree Growth Algorithm (TGA): A novel approach for solving optimization problems. Engineering Applications of Artificial Intelligence, 72, 393-414.
  • [22] Price, K. V., Storn, R. M., & Lampinen, J. A. (2005). The differential evolution algorithm. Differential evolution: a practical approach to global optimization, 37-134.
  • [23] Erol, O. K., & Eksin, I. (2006). A new optimization method: big bang–big crunch. Advances in engineering software, 37(2), 106-111.
  • [24] Hashim, F. A., Hussain, K., Houssein, E. H., Mabrouk, M. S., & Al-Atabany, W. (2021). Archimedes optimization algorithm: a new metaheuristic algorithm for solving optimization problems. Applied intelligence, 51, 1531-1551.
  • [25] Ghannadi, P., & Kourehli, S. S. (2020). Multiverse optimizer for structural damage detection: Numerical study and experimental validation. The Structural Design of Tall and Special Buildings, 29(13), e1777.
  • [26] Kaveh, A., & Dadras, A. (2017). A novel meta-heuristic optimization algorithm: thermal exchange optimization. Advances in engineering software, 110, 69-84.
  • [27] Rao, R. V., Savsani, V. J., & Vakharia, D. P. (2011). Teaching–learning-based optimization: a novel method for constrained mechanical design optimization problems. Computer-aided design, 43(3), 303-315.
  • [28] Mousavirad, S. J., & Ebrahimpour-Komleh, H. (2017). Human mental search: a new population-based metaheuristic optimization algorithm. Applied Intelligence, 47, 850-887.
  • [29] Shi, Y. (2015). An optimization algorithm based on brainstorming process. In Emerging Research on Swarm Intelligence and Algorithm Optimization (pp. 1-35). IGI Global.
  • [30] Purnomo, H. D., & Wee, H. M. (2013). Soccer game optimization: an innovative integration of evolutionary algorithm and swarm intelligence algorithm. In Meta-Heuristics optimization algorithms in engineering, business, economics, and finance (pp. 386-420). Igi Global.
  • [31] Dehghani, M., & Trojovský, P. (2021). Teamwork optimization algorithm: A new optimization approach for function minimization/maximization. Sensors, 21(13), 4567.
  • [32] Dehghani, M., Montazeri, Z., Givi, H., Guerrero, J. M., & Dhiman, G. (2020). Darts game optimizer: A new optimization technique based on darts game. International Journal of Intelligent Engineering and Systems, 13(5), 286-294.
  • [33] Bakır, H. (2024). Optimal power flow analysis with circulatory system-based optimization algorithm. Turkish Journal of Engineering, 8(1), 92-106. https://doi.org/10.31127/tuje.1282429
  • [34] Guvenc, U., Bakir, H., Duman, S., Ozkaya, B. (2021). Optimal Power Flow Using Manta Ray Foraging Optimization. In: Hemanth, J., Yigit, T., Patrut, B., Angelopoulou, A. (eds) Trends in Data Engineering Methods for Intelligent Systems. ICAIAME 2020. Lecture Notes on Data Engineering and Communications Technologies, vol 76. Springer, Cham. https://doi.org/10.1007/978-3-030-79357-9_14
  • [35] Duman, S., Kahraman, H.T., Korkmaz, B., Bakir, H., Guvenc, U., Yilmaz, C. (2023). Improved Phasor Particle Swarm Optimization with Fitness Distance Balance for Optimal Power Flow Problem of Hybrid AC/DC Power Grids. In: Smart Applications with Advanced Machine Learning and Human-Centred Problem Design. ICAIAME 2021. Engineering Cyber-Physical Systems and Critical Infrastructures, vol 1. Springer, Cham. https://doi.org/10.1007/978-3-031-09753-9_24
  • [36] Bakir, H., Guvenc, U. & Kahraman, H.T. Optimal operation and planning of hybrid AC/DC power systems using multi-objective grasshopper optimization algorithm. Neural Comput & Applic 34, 22531–22563 (2022). https://doi.org/10.1007/s00521-022-07670-y
  • [37] Bakır, H., Kahraman, H. T., Yılmaz, S., Duman, S., & Guvenc, U. (2024). Dynamic switched crowding-based multi-objective particle swarm optimization algorithm for solving multi-objective AC-DC optimal power flow problem. Applied Soft Computing, 166, 112155. https://doi.org/10.1016/J.ASOC.2024.112155
  • [38] Bakır, H., Duman, S., Guvenc, U., & Kahraman, H. T. (2023). A novel optimal power flow model for efficient operation of hybrid power networks. Computers and Electrical Engineering, 110, 108885. https://doi.org/10.1016/J.COMPELECENG.2023.108885
  • [39] Bakir, H., Guvenc, U., Duman, S., & Kahraman, H. T. (2023). Optimal Power Flow for Hybrid AC/DC Electrical Networks Configured With VSC-MTDC Transmission Lines and Renewable Energy Sources. IEEE Systems Journal, 17(3), 3938–3949. https://doi.org/10.1109/JSYST.2023.3248658
  • [40] Bakır, H. (2024). Dynamic fitness-distance balance-based artificial rabbits optimization algorithm to solve optimal power flow problem. Expert Systems with Applications, 240, 122460. https://doi.org/10.1016/J.ESWA.2023.122460
  • [41] Kennedy, J., & Eberhart, R. (1995, November). Particle swarm optimization. In Proceedings of ICNN'95-international conference on neural networks (Vol. 4, pp. 1942-1948). ieee.
  • [42] Kramer, O., & Kramer, O. (2017). Genetic algorithms (pp. 11-19). Springer International Publishing.
  • [43] Lang, Y., & Gao, Y. (2025). Dream Optimization Algorithm (DOA): A novel metaheuristic optimization algorithm inspired by human dreams and its applications to real-world engineering problems. Computer Methods in Applied Mechanics and Engineering, 436, 117718.
  • [44] Sowmya, R., Premkumar, M., & Jangir, P. (2024). Newton-Raphson-based optimizer: A new population-based metaheuristic algorithm for continuous optimization problems. Engineering Applications of Artificial Intelligence, 128, 107532.
  • [45] El-Kenawy, E. S. M., Khodadadi, N., Mirjalili, S., Abdelhamid, A. A., Eid, M. M., & Ibrahim, A. (2024). Greylag goose optimization: nature-inspired optimization algorithm. Expert Systems with Applications, 238, 122147.

Performance Evaluation of PSO, GA, DOA, NRBO, and GGO for Static Optimal Power Flow: A Benchmarking Study

Yıl 2026, Cilt: 22 Sayı: 1 , 121 - 131 , 30.03.2026
https://doi.org/10.18466/cbayarfbe.1721752
https://izlik.org/JA83SD45FR

Öz

The growing demand and power of modern power systems necessitates an economical and stable operation, and therefore, the Optimal Power Flow (OPF) problem is of heavy research interest. The OPF must be solved efficiently to lower operational costs and ensure system stability. A comprehensive comparative study in this paper compares the performance of five metaheuristic algorithms for solving the fuel cost minimization problem of the OPF problem. Two well-known algorithms, Particle Swarm Optimization (PSO) and Genetic Algorithm (GA), and three new ones, Dream Optimization Algorithm (DOA), Newton-Raphson-Based Optimizer (NRBO), and Greylag Goose Optimization (GGO), were tested on the benchmark IEEE 6-bus, 30-bus, and 57-bus systems. The performance of the algorithms was compared in terms of statistical measures of the best cost, mean cost, and standard deviation from ten independent runs. Numerical findings indicate that the performance of algorithms is highly dependent on system size. For the 6-bus case, NRBO had the lowest fuel cost, while PSO had better stability with the lowest standard deviation. In the 30-bus case, NRBO was the most effective algorithm to utilize, having better performance in all aspects measured. In the larger 57-bus system, PSO had the best solution overall but least consistent in performance. This study concludes that there isn't a single best algorithm for all OPF problem sizes, providing an authoritative benchmark that marks the strengths and weaknesses of classical and contemporary metaheuristics across different power system applications.

Kaynakça

  • [1] Tang, Y., Dvijotham, K., & Low, S. (2017). Real-time optimal power flow. IEEE Transactions on Smart Grid, 8(6), 2963-2973.
  • [2] Risi, B. G., Riganti-Fulginei, F., & Laudani, A. (2022). Modern techniques for the optimal power flow problem: State of the art. Energies, 15(17), 6387.
  • [3] Frank, S., & Rebennack, S. (2016). An introduction to optimal power flow: Theory, formulation, and examples. IIE transactions, 48(12), 1172-1197.
  • [4] Cain, M. B., O’neill, R. P., & Castillo, A. (2012). History of optimal power flow and formulations. Federal Energy Regulatory Commission, 1, 1-36.
  • [5] Cabadağ, R. I., Türkay, B. E., & Tunç, A. (2011). Optimal Güç Akışı Çözümlerinde Lineer Programlama ve İç nokta Algoritması Yöntemlerinin Karşılaştırmalı Analizi, II. Elektrik Tesisat Ulusal Kongresi, 24-27 Kasım 2011, İzmir.
  • [6] Ebeed, M., Kamel, S., & Jurado, F. (2018). Optimal power flow using recent optimization techniques. In Classical and recent aspects of power system optimization (pp. 157-183). Academic Press.
  • [7] Altay, E. V., & Altay, O. (2021). Güncel metasezgisel optimizasyon algoritmalarının CEC2020 test fonksiyonları ile karşılaştırılması. Dicle Üniversitesi Mühendislik Fakültesi Mühendislik Dergisi, 12(5), 729-741.
  • [8] Abdel-Basset, M., Abdel-Fatah, L., & Sangaiah, A. K. (2018). Metaheuristic algorithms: A comprehensive review. Computational intelligence for multimedia big data on the cloud with engineering applications, 185-231.
  • [9] Halim, A. H., Ismail, I., & Das, S. (2021). Performance assessment of the metaheuristic optimization algorithms: an exhaustive review. Artificial Intelligence Review, 54(3), 2323-2409.
  • [10] Nagarajan, K., Rajagopalan, A., Bajaj, M., Raju, V., & Blazek, V. (2025). Enhanced wombat optimization algorithm for multi-objective optimal power flow in renewable energy and electric vehicle integrated systems. Results in Engineering, 25, 103671.
  • [11] Shu, H., Zhao, H., & Liao, M. (2025). Optimal power flow in hybrid AC-DC systems considering Nk security constraints in the preventive-corrective control stage. Electric Power Systems Research, 238, 111052.
  • [12] Mahela, O. P., & Ola, S. R. (2013). Optimal capacitor placement for loss reduction in electric transmission system using genetic algorithm. TJPRC-International Journal of Electrical and Electronics Engineering Research, 3(2), 59-68.
  • [13] Mohamed, S. A., Anwer, N., & Mahmoud, M. M. (2025). Solving optimal power flow problem for IEEE-30 bus system using a developed particle swarm optimization method: towards fuel cost minimization. International Journal of Modelling and Simulation, 45(1), 307-320.
  • [14] Zhai, C., Zhang, H., Xiao, G., & Pan, T. C. (2019). A model predictive approach to protect power systems against cascading blackouts. International Journal of Electrical Power & Energy Systems, 113, 310-321.
  • [15] Hamadneh, T., Batiha, B., Gharib, G. M., Montazeri, Z., Dehghani, M., Aribowo, W., ... & Eguchi, K. (2025). Builder optimization algorithm: an effective human-inspired metaheuristic approach for solving optimization problems. International Journal of Intelligent Engineering and Systems, 18(3), 928-937.
  • [16] Dehghani, M., Hubálovský, Š., & Trojovský, P. (2021). Northern goshawk optimization: a new swarm-based algorithm for solving optimization problems. Ieee Access, 9, 162059-162080.
  • [17] Xie, L., Han, T., Zhou, H., Zhang, Z. R., Han, B., & Tang, A. (2021). Tuna swarm optimization: a novel swarm‐based metaheuristic algorithm for global optimization. Computational intelligence and Neuroscience, 2021(1), 9210050.
  • [18] Dehghani, M., Hubálovský, Š., & Trojovský, P. (2021). Cat and mouse based optimizer: a new nature-inspired optimization algorithm. Sensors, 21(15), 5214.
  • [19] Neshat, M., Sepidnam, G., & Sargolzaei, M. (2013). Swallow swarm optimization algorithm: a new method to optimization. Neural Computing and Applications, 23(2), 429-454.
  • [20] Taheri, A., RahimiZadeh, K., Beheshti, A., Baumbach, J., Rao, R. V., Mirjalili, S., & Gandomi, A. H. (2024). Partial reinforcement optimizer: An evolutionary optimization algorithm. Expert Systems with Applications, 238, 122070.
  • [21] Cheraghalipour, A., Hajiaghaei-Keshteli, M., & Paydar, M. M. (2018). Tree Growth Algorithm (TGA): A novel approach for solving optimization problems. Engineering Applications of Artificial Intelligence, 72, 393-414.
  • [22] Price, K. V., Storn, R. M., & Lampinen, J. A. (2005). The differential evolution algorithm. Differential evolution: a practical approach to global optimization, 37-134.
  • [23] Erol, O. K., & Eksin, I. (2006). A new optimization method: big bang–big crunch. Advances in engineering software, 37(2), 106-111.
  • [24] Hashim, F. A., Hussain, K., Houssein, E. H., Mabrouk, M. S., & Al-Atabany, W. (2021). Archimedes optimization algorithm: a new metaheuristic algorithm for solving optimization problems. Applied intelligence, 51, 1531-1551.
  • [25] Ghannadi, P., & Kourehli, S. S. (2020). Multiverse optimizer for structural damage detection: Numerical study and experimental validation. The Structural Design of Tall and Special Buildings, 29(13), e1777.
  • [26] Kaveh, A., & Dadras, A. (2017). A novel meta-heuristic optimization algorithm: thermal exchange optimization. Advances in engineering software, 110, 69-84.
  • [27] Rao, R. V., Savsani, V. J., & Vakharia, D. P. (2011). Teaching–learning-based optimization: a novel method for constrained mechanical design optimization problems. Computer-aided design, 43(3), 303-315.
  • [28] Mousavirad, S. J., & Ebrahimpour-Komleh, H. (2017). Human mental search: a new population-based metaheuristic optimization algorithm. Applied Intelligence, 47, 850-887.
  • [29] Shi, Y. (2015). An optimization algorithm based on brainstorming process. In Emerging Research on Swarm Intelligence and Algorithm Optimization (pp. 1-35). IGI Global.
  • [30] Purnomo, H. D., & Wee, H. M. (2013). Soccer game optimization: an innovative integration of evolutionary algorithm and swarm intelligence algorithm. In Meta-Heuristics optimization algorithms in engineering, business, economics, and finance (pp. 386-420). Igi Global.
  • [31] Dehghani, M., & Trojovský, P. (2021). Teamwork optimization algorithm: A new optimization approach for function minimization/maximization. Sensors, 21(13), 4567.
  • [32] Dehghani, M., Montazeri, Z., Givi, H., Guerrero, J. M., & Dhiman, G. (2020). Darts game optimizer: A new optimization technique based on darts game. International Journal of Intelligent Engineering and Systems, 13(5), 286-294.
  • [33] Bakır, H. (2024). Optimal power flow analysis with circulatory system-based optimization algorithm. Turkish Journal of Engineering, 8(1), 92-106. https://doi.org/10.31127/tuje.1282429
  • [34] Guvenc, U., Bakir, H., Duman, S., Ozkaya, B. (2021). Optimal Power Flow Using Manta Ray Foraging Optimization. In: Hemanth, J., Yigit, T., Patrut, B., Angelopoulou, A. (eds) Trends in Data Engineering Methods for Intelligent Systems. ICAIAME 2020. Lecture Notes on Data Engineering and Communications Technologies, vol 76. Springer, Cham. https://doi.org/10.1007/978-3-030-79357-9_14
  • [35] Duman, S., Kahraman, H.T., Korkmaz, B., Bakir, H., Guvenc, U., Yilmaz, C. (2023). Improved Phasor Particle Swarm Optimization with Fitness Distance Balance for Optimal Power Flow Problem of Hybrid AC/DC Power Grids. In: Smart Applications with Advanced Machine Learning and Human-Centred Problem Design. ICAIAME 2021. Engineering Cyber-Physical Systems and Critical Infrastructures, vol 1. Springer, Cham. https://doi.org/10.1007/978-3-031-09753-9_24
  • [36] Bakir, H., Guvenc, U. & Kahraman, H.T. Optimal operation and planning of hybrid AC/DC power systems using multi-objective grasshopper optimization algorithm. Neural Comput & Applic 34, 22531–22563 (2022). https://doi.org/10.1007/s00521-022-07670-y
  • [37] Bakır, H., Kahraman, H. T., Yılmaz, S., Duman, S., & Guvenc, U. (2024). Dynamic switched crowding-based multi-objective particle swarm optimization algorithm for solving multi-objective AC-DC optimal power flow problem. Applied Soft Computing, 166, 112155. https://doi.org/10.1016/J.ASOC.2024.112155
  • [38] Bakır, H., Duman, S., Guvenc, U., & Kahraman, H. T. (2023). A novel optimal power flow model for efficient operation of hybrid power networks. Computers and Electrical Engineering, 110, 108885. https://doi.org/10.1016/J.COMPELECENG.2023.108885
  • [39] Bakir, H., Guvenc, U., Duman, S., & Kahraman, H. T. (2023). Optimal Power Flow for Hybrid AC/DC Electrical Networks Configured With VSC-MTDC Transmission Lines and Renewable Energy Sources. IEEE Systems Journal, 17(3), 3938–3949. https://doi.org/10.1109/JSYST.2023.3248658
  • [40] Bakır, H. (2024). Dynamic fitness-distance balance-based artificial rabbits optimization algorithm to solve optimal power flow problem. Expert Systems with Applications, 240, 122460. https://doi.org/10.1016/J.ESWA.2023.122460
  • [41] Kennedy, J., & Eberhart, R. (1995, November). Particle swarm optimization. In Proceedings of ICNN'95-international conference on neural networks (Vol. 4, pp. 1942-1948). ieee.
  • [42] Kramer, O., & Kramer, O. (2017). Genetic algorithms (pp. 11-19). Springer International Publishing.
  • [43] Lang, Y., & Gao, Y. (2025). Dream Optimization Algorithm (DOA): A novel metaheuristic optimization algorithm inspired by human dreams and its applications to real-world engineering problems. Computer Methods in Applied Mechanics and Engineering, 436, 117718.
  • [44] Sowmya, R., Premkumar, M., & Jangir, P. (2024). Newton-Raphson-based optimizer: A new population-based metaheuristic algorithm for continuous optimization problems. Engineering Applications of Artificial Intelligence, 128, 107532.
  • [45] El-Kenawy, E. S. M., Khodadadi, N., Mirjalili, S., Abdelhamid, A. A., Eid, M. M., & Ibrahim, A. (2024). Greylag goose optimization: nature-inspired optimization algorithm. Expert Systems with Applications, 238, 122147.
Toplam 45 adet kaynakça vardır.

Ayrıntılar

Birincil Dil İngilizce
Konular Yazılım Mühendisliği (Diğer)
Bölüm Araştırma Makalesi
Yazarlar

Alper Buğra Polat 0009-0000-0572-3054

Osman Altay 0000-0003-3989-2432

Gönderilme Tarihi 17 Haziran 2025
Kabul Tarihi 9 Aralık 2025
Yayımlanma Tarihi 30 Mart 2026
DOI https://doi.org/10.18466/cbayarfbe.1721752
IZ https://izlik.org/JA83SD45FR
Yayımlandığı Sayı Yıl 2026 Cilt: 22 Sayı: 1

Kaynak Göster

APA Polat, A. B., & Altay, O. (2026). Performance Evaluation of PSO, GA, DOA, NRBO, and GGO for Static Optimal Power Flow: A Benchmarking Study. Celal Bayar University Journal of Science, 22(1), 121-131. https://doi.org/10.18466/cbayarfbe.1721752
AMA 1.Polat AB, Altay O. Performance Evaluation of PSO, GA, DOA, NRBO, and GGO for Static Optimal Power Flow: A Benchmarking Study. Celal Bayar University Journal of Science. 2026;22(1):121-131. doi:10.18466/cbayarfbe.1721752
Chicago Polat, Alper Buğra, ve Osman Altay. 2026. “Performance Evaluation of PSO, GA, DOA, NRBO, and GGO for Static Optimal Power Flow: A Benchmarking Study”. Celal Bayar University Journal of Science 22 (1): 121-31. https://doi.org/10.18466/cbayarfbe.1721752.
EndNote Polat AB, Altay O (01 Mart 2026) Performance Evaluation of PSO, GA, DOA, NRBO, and GGO for Static Optimal Power Flow: A Benchmarking Study. Celal Bayar University Journal of Science 22 1 121–131.
IEEE [1]A. B. Polat ve O. Altay, “Performance Evaluation of PSO, GA, DOA, NRBO, and GGO for Static Optimal Power Flow: A Benchmarking Study”, Celal Bayar University Journal of Science, c. 22, sy 1, ss. 121–131, Mar. 2026, doi: 10.18466/cbayarfbe.1721752.
ISNAD Polat, Alper Buğra - Altay, Osman. “Performance Evaluation of PSO, GA, DOA, NRBO, and GGO for Static Optimal Power Flow: A Benchmarking Study”. Celal Bayar University Journal of Science 22/1 (01 Mart 2026): 121-131. https://doi.org/10.18466/cbayarfbe.1721752.
JAMA 1.Polat AB, Altay O. Performance Evaluation of PSO, GA, DOA, NRBO, and GGO for Static Optimal Power Flow: A Benchmarking Study. Celal Bayar University Journal of Science. 2026;22:121–131.
MLA Polat, Alper Buğra, ve Osman Altay. “Performance Evaluation of PSO, GA, DOA, NRBO, and GGO for Static Optimal Power Flow: A Benchmarking Study”. Celal Bayar University Journal of Science, c. 22, sy 1, Mart 2026, ss. 121-3, doi:10.18466/cbayarfbe.1721752.
Vancouver 1.Alper Buğra Polat, Osman Altay. Performance Evaluation of PSO, GA, DOA, NRBO, and GGO for Static Optimal Power Flow: A Benchmarking Study. Celal Bayar University Journal of Science. 01 Mart 2026;22(1):121-3. doi:10.18466/cbayarfbe.1721752