EKONOMİK EMİSYON YÜK DAĞITIMI PROBLEMİ İÇİN KAOTİK YILDIRIM ARAMA ALGORİTMASI

Year 2018, , 406 - 417, 28.09.2018

Serhat Duman , Bayram Yıldız

https://doi.org/10.21923/jesd.409508

Abstract

Elektrik enerjisinin üretiminde kullanılan fosil yakıtlı kaynaklar çevre
kirliliğine yol açmaktadır. Bu nedenle, termal yakıtlı generatörlerde emisyon
salınımının önemi giderek artmaktadır. Ekonomik emisyon yük dağıtımı problemi modern
güç sistemlerinin en önemli doğrusal olmayan optimizasyon problemlerinden biridir.
Yıldırım Arama Algoritması (YAA), ışık olayına dayalı lider yayılma
mekanizmasından esinlenerek geliştirilen ve doğrusal olmayan optimizasyon problemlerin
çözümünde kullanılan sezgisel algoritmalardan biridir. Bu çalışmada, ekonomik
emisyon yük dağıtımı problemi YAA ve kaotik YAA algoritmaları kullanılarak
çözülmüştür. Önerilen yaklaşımlar iki farklı test sistemine uygulanmış olup,
benzetim çalışmalarından elde edilen sonuçlar literatürdeki diğer sonuçlarla
karşılaştırılmıştır. Önerilen yaklaşımın doğrusal olmayan mühendislik
problemlerin çözümünde başarılı bir şekilde uygulandığı gösterilmiştir.

Keywords

Yıldırım Arama Algoritması, Kaotik Harita, Ekonomik Emisyon Yük Dağıtımı, Modern Güç Sistemleri, Optimizasyon

References

• Abido, M.A., 2006. Multiobjective Evolutionary Algorithms for Electric Power Dispatch Problem. IEEE Transactions on Evolutionary Computation, 10(3), 315-329.
• Alatas, B., Akin, E., Ozer, A.B., 2009. Chaos Embedded Particle Swarm Optimization Algorithms. Chaos, Solitons & Fractals, 40(4), 1715-1734.
• Alatas, B., 2010. Chaotic Harmony Search Algorithms. Applied Mathematics and Computation, 216, 2687-2699.
• Aydin, D., Özyön, S., Yaşar, C., Liao, T., 2014. Artificial Bee Colony Algorithm with Dynamic Population size to Combined Economic and Emission Dispatch Problem. International Journal of Electrical Power and Energy Systems, 54, 144-153.
• Bahrani, L. T. A., Patra, J. C., 2017. Orthogonal PSO Algorithm for Economic Dispatch of Thermal Generating Units under Various Power Constraints in Smart Power Grid. Applied Soft Computing, 58, 401-426.
• Basu, M., 2014. Fuel Constrained Economic Emission Dispatch using Nondominated Sorting Genetic Algorithm-II. Energy, 78, 649-664.
• Bhattacharjee, K., Bhattacharya, A., Nee Dey, S. H., 2014. Solution of Economic Emission Load Dispatch Problems of Power Systems by Real Coded Chemical Reaction Algorithm. International Journal of Electrical Power and Energy Systems, 59, 176-187.
• Bingöl, O., Güvenç, U., Duman, S., Paçacı, S., 2017. Stochastic Fractal Search Algorithm with Chaos. International Artificial Intelligence and Data Processing Symposium (IDAP17).
• Chatterjee, A., Ghoshal, S.P., Mukherjee, V., 2012. Solution of Combined Economic and Emission Dispatch Problems of Power Systems by an Opposition-Based Harmony Search Algorithm. International Journal of Electrical Power and Energy Systems, 39, 9-20.
• Chen, S.D., Chen, J.F., 2003. A Direct Newton-raphson Economic Emission Dispatch. International Journal of Electrical Power & Energy Systems, 25(5), 411-417.
• Duman, S., Yorukeren, N., Altas, I.H., 2015. A Novel Modified Hybrid PSOGSA based on Fuzzy Logic for non-convex Economic Dispatch Problem with Valve-point Effect. International Journal of Electrical Power & Energy Systems, 64, 121-135.
• Duman, S., Altaş, I.H., Yörükeren, N., 2014. Çevresel Ekonomik Yük Dağıtımı Probleminin İyileştirilmiş Yerçekimsel Arama Algoritması ile Çözümü. Akıllı Sistemlerde Yenilikler ve Uygulamaları Sempozyumu, 176-181.
• Elhameed, M.A., El-Fergany, A.A., 2017. Water Cycle Algorithm-based Economic Dispatcher for Sequential and Simultaneous Objectives Including Practical Constraints. Applied Soft Computing, 58, 145-154.
• Frag, A., Al-Baiyat, S., Cheng, T.C., 1995. Economic Load Dispatch Multiobjective Optimization Procedures using Linear Programming Techniques. IEEE Transactions on Power Systems, 10(2), 731-738.
• Gandomi, A. H., Yang, X. S., 2014. Chaotic Bat Algorithm. Journal of Computational Science, 5(2), 224-232.
• Guvenc, U., Duman, S., Sonmez, Y., Kahraman, H.T., Dosoglu, M.K., in press(2018). Symbiotic Organisms Search Algorithm for Economic Load Dispatch Problem with Valve-point Effect. Scientia Iranica, DOI: 10.24200/SCI.2017.4378.
• Hemamalini, S., Simon, S.P., 2008. Emission Constrained Economic Dispatch with Valve-Point Effect using Particle Swarm Optimization. 2008 IEEE Region 10 Conference TENCON 2008.
• Hota, P. K., Barisal, A. K., Chakrabarti, R., 2010. Economic Emission Load Dispatch through Fuzzy based Bacterial Foraging Algorithm. International Journal of Electrical Power and Energy Systems, 32, 794-803.
• Jiang, S., Ji, Z., Shen, Y., 2014. A Novel Hybrid Particle Swarm Optimization and Gravitational Search Algorithm for Solving Economic Emission Load Dispatch Problems with Various Practical Constraints. International Journal of Electrical Power and Energy Systems, 55, 628-644.
• Kavousi-Fard, A., Khosravi, A., 2016. An intelligent θ-Modified Bat Algorithm to solve the Non-convex Economic Dispatch Problem Considering Practical Constraints. International Journal of Electrical Power & Energy Systems, 82, 189-196.
• Kheshti, M., Kang, X., Bie, Z., Jiao, Z., Wang, X., 2017. An Effective Lightning Flash Algorithm Solution to Large Scale Non-convex Economic Dispatch with Valve-point and Multiple Fuel Options on Generation Units. Energy, 129, 1-15.
• Lin, C.E., Chen, S.T., Huang, C.L., 1992. A Direct Newton-raphson Economic Dispatch. IEEE Transactions on Power System, 7(3), 1149-1154.
• Malik, T. N., Ul Asar, A., Wyne, M. F., Akhtar, S., 2010. A New Hybrid Approach for the Solution of Nonconvex Economic Dispatch Problem with Valve-Point Effects. Electric Power Systems Research, 80, 1128-1136.
• Mason, K., Duggan J., Howley, E., 2017. Multi-objective Dynamic Economic Emission Dispatch using Particle Swarm Optimisation Variants. Neurocomputing, 270, 188-197.
• Meng, A., Li, J., Yin, H., 2016. An Efficient Crisscross Optimization Solution to Large-scale non-convex Economic Load Dispatch with Multiple Fuel Types and Valve-point Effects. Energy, 113, 1147-1161.
• Mirjalili, S., Gandomi, A. H., 2017. Chaotic Gravitational Constants for the Gravitational Search Algorithm. Applied Soft Computing, 53, 407-419.
• Nabona, N., Freris, L.L., 1973. Optimisation of Economic Dispatch through Quadratic and Linear Programming. Proceedings of the Institution of Electrical Engineering, 120(5), 574-580.
• Naderi, E., Azizivahed, A., Narimani, H., Fathi, M., Narimani, M.R., 2017. A Comprehensive Study of Practical Economic Dispatch Problems by a new Hybrid Evolutionary Algorithm. Applied Soft Computing, 61, 1186-1206.
• Pamuk, N., 2013. Dinamik Sistemlerde Kaotik Zaman Dizilerinin Tespiti. Balıkesir Üniversitesi Fen Bilimleri Enstitüsü Dergisi, 15(1), 78-92.
• Pandit, N., Tripathi, A., Tapaswi, S., Pandit, M., 2012. An Improved Bacterial Foraging algorithm for Combined Static/Dynamic Environmental Economic Dispatch. Applied Soft Computing, 12, 3500-3513.
• Perez-Guerrero, R. E., Cedeno-Maldonado, J. R., 2005. Differential Evolution based Economic Environmental Power Dispatch. Proc. 37th Annual North American Power Symp., 191-197.
• Qu, B.Y., Zhu, Y.S., Jiao, Y.C., Wu, M.Y., Suganthan, P.N., Liang, J.J., 2018. A Survey on multi-objective Evolutionary Algorithms for the Solution of the Environmental/Economic Dispatch Problems. Swarm and Evolutionary Computation, 38, 1-11.
• Secui, D.C., 2015. A New Modified Artificial Bee Colony Algorithm for the Economic Dispatch Problem. Energy Conversion and Management, 89, 43-62.
• Shareef, H., Ibrahim, A. A., Mutlag, A. H., 2015. Lightning Search Algorithm. Applied Soft Computing, 36, 315-333.
• Shila, C., Ravi, K., 2017. Optimization of Emission/Economic Dispatch using Euclidean Affine Flower Pollination Algorithm (eFPA) and Binary FPA (BFPA) Photovoltaic Generation. Renewable Energy, 107, 550-566.
• Tanyıldızı, E., Cigal, T., 2017. Kaotik Haritalı Balina Optimizasyon Algoritmaları. Fırat Üniversitesi Mühendislik Bilimleri Dergisi, 29(1), 309-319.
• Yang, D., Liu, Z., Zhou J., 2014. Chaos Optimization Algorithms based on Chaotic Maps with Different Probability Distribution and Search Speed for Global Optimization. Commun Nonlinear Sci Numer Simulat, 19, 1229-1246.
• Yaşar, C., Özyön, S., 2011. A New Hybrid Approach for Nonconvex Economic Dispatch Problem with Valve-Point Effect. Energy, 35, 5838-5845.
• Yıldız, B., Duman, S., Yıldız T.K., 2017. Kaotik Yıldırım Arama Algoritması. IV. International Multidisciplinary Congress of Eurasia (IMCOFE 2017).
• Younes, M., Khodja F., Kherfane, R.L., 2014. Multi-objective Economic Emission Dispatch Solution using hybrid FFA (Firefly Algorithm) and Considering Wind Power Penetration. Energy, 67, 595-606.
• Zhang, Y., Gong, D. W., Ding, Z., 2012. A Bare-Bones Multi-Objective Particle Swarm Optimization Algorithm for Environmental/Economic Dispatch. Information Sciences, 192, 213-227.
• Zhou, J., Wang, C., Li, Y., Wang, P., Li, C., Lu, P., Mo, L., 2017. A Multi-objective Multi-Population Ant Colony Optimization for Economic Emission Dispatch Considering Power System Security. Applied Mathematical Modelling, 45, 684-704
• Zou, D., Li, S., Li, Z., Kong, X., 2017. A New Global Particle Swarm Optimization for the Economic Emission Dispatch with or without Transmission Losses. Energy Conversion and Management, 139, 45-70.