A new hybrid gravitational search-teaching-learning-based optimization method for the solution of economic dispatch of power systems
A new hybrid gravitational search-teaching-learning-based optimization method for the solution of economic dispatch of power systems
The economic dispatch problem (EDP) is a complex, constrained, and nonlinear optimization problem. Inthe EDP, the active power bus should operate between the minimum and maximum bus limits to minimize the fuel cost.In this study, a fast, efficient, and reliable hybrid gravitational search algorithm-teaching learning based optimization(GSA-TLBO) method was proposed for the purpose of solving the EDP in power systems. The proposed methodseparates the search space into two sections as global and local searching. In the first part, searching was carried outby GSA method effectively to form the second search space. In the second part, the optimum solution was sought inthe local search space by the TLBO method. The proposed method was implemented to a constrained benchmark G01problem. The proposed hybrid method was then applied to the constrained EDP in IEEE 30-bus and IEEE 57-bustest systems and Turkey’s 22-bus power system to minimize the fuel cost. Obtained results were compared with othermethods. Experimental results show that the proposed method results in shorter, more reliable, and efficient lowest fuelcost solutions. It has been found that the proposed method can be used to solve constrained optimization problems.
___
- [1] Chowdhury BH, Rahman S. A review of recent advances in economic dispatch. IEEE Transactions on Power Systems
1990; 5 (4): 1248-1259. doi: 10.1109/59.99376
- [2] Mahor A, Prasad V, Rangnekar S. Economic dispatch using particle swarm optimization: a review. Renewable &
Sustainable Energy Reviews 2009; 13 (8): 2134-2141. doi: 10.1016/j.rser.2009.03.007
- [3] Al-Betar MA, Awadallah MA, Khader AT, Bolaji ALA, Almomani A. Economic load dispatch problems with valvepoint loading using natural updated harmony search. Neural Computing & Applications 2016; 29 (10): 767-781.
doi: 10.1007/s00521-016-2611-2
- [4] Tinney WF, Hart CE. Power flow solution by Newton’s method. IEEE Transactions on Power Apparatus and
Systems 1967; PAS-86 (11): 1449-1460. doi: 10.1109/TPAS.1967.291823
- [5] Treece JA. Bootstrap Gauss-Seidel load flow. Proceedings of the Institution of Electrical Engineers 1969; 116 (5):
866-870. doi: 10.1049/piee.1969.0161
- [6] Momoh JA, Adapa R, El-Hawary ME. A review of selected optimal power flow literature to 1993. I. Nonlinear and quadratic programming approaches. IEEE Transactions on Power Systems 1999; 14 (1): 96-104. doi:
10.1109/59.744492
- [7] Chen G, Ding X. Optimal economic dispatch with valve loading effect using self-adaptive firefly algorithm. Applied
Intelligence 2015; 42 (2): 276-288. doi: 10.1007/s10489-014-0593-2
- [8] Niknam T. A new fuzzy adaptive hybrid particle swarm optimization algorithm for non-linear, non-smooth and
non-convex economic dispatch problem. Applied Energy 2010; 87 (1): 327-339. doi: 10.1016/j.apenergy.2009.05.016
- [9] Abido MA. Optimal power flow using particle swarm optimization. International Journal of Electrical Power &
Energy Systems 2002; 24 (7): 563-571. doi: 10.1016/S0142-0615(01)00067-9
- [10] Güçyetmez M, Çam E. A new hybrid algorithm with genetic-teaching learning optimization (G-TLBO) technique
for optimizing of power flow in wind-thermal power systems. Electrical Engineering 2016; 98 (2): 145-157. doi:
10.1007/s00202-015-0357-y
- [11] Bakirtzis A, Petridis V, Kazarlis S. Genetic algorithm solution to the economic dispatch problem. IEE Proceedings
- Generation, Transmission and Distribution 1994; 141 (4): 377-382. doi: 10.1049/ip-gtd:19941211
- [12] Rezaei Adaryani M, Karami A. Artificial bee colony algorithm for solving multi- objective optimal power flow
problem. International Journal of Electrical Power & Energy Systems 2013; 53: 219-230. doi: 10.1016/j.ijepes.2013.04.021
- [13] Abacı K, Yamaçlı V, Akdağlı A. Optimal power flow with SVC devices by using the artificial bee colony algorithm.
Turkish Journal of Electrical Engineering & Computer Sciences 2016; 24 (1): 341-353. doi: 10.3906/elk-1305-55
- [14] Duman S, Guvenc U, Sonmez Y, Yorukeren N. Optimal power flow using gravitational search algorithm. Energy
Conversion and Management 2012; 59: 86-95. doi: 10.1016/j.enconman.2012.02.024
- [15] Bouchekara HREH, Abido MA, Boucherma M. Optimal power flow using teaching-learning-based optimization
technique. Electric Power Systems Research 2014; 114: 49-59. doi: 10.1016/j.epsr.2014.03.032
- [16] Niknam T, Narimani MR, Azizipanah-Abarghooee R. A new hybrid algorithm for optimal power flow considering prohibited zones and valve point effect. Energy Conversion and Management 2012; 58: 197-206. doi:
10.1016/j.enconman.2012.01.017
- [17] Bansal JC, Jadon SS, Tiwari R, Kiran D, Panigrahi BK. Optimal power flow using artificial bee colony algorithm
with global and local neighborhoods. International Journal of System Assurance Engineering and Management
2014; 8 (4): 2158-2169. doi: 10.1007/s13198-014-0321-7
- [18] Ghasemi M, Ghavidel S, Rahmani S, Roosta A, Falah H. A novel hybrid algorithm of imperialist competitive algorithm and teaching learning algorithm for optimal power flow problem with non-smooth cost functions. Engineering
Applications of Artificial Intelligence 2014; 29: 54-69. doi: 10.1016/j.engappai.2013.11.003
- [19] Ghasemi M, Ghavidel S, Ghanbarian MM, Massrur HR, Gharibzadeh M. Application of imperialist competitive
algorithm with its modified techniques for multi-objective optimal power flow problem: a comparative study.
Information Sciences 2014; 281: 225-247. doi: 10.1016/j.ins.2014.05.040
- [20] Vaisakh K, Srinivas LR. Evolving ant direction differential evolution for OPF with non-smooth cost functions.
Engineering Applications of Artificial Intelligence 2011; 24 (3): 426-436. doi: 10.1016/j.engappai.2010.10.019
- [21] Pandiarajan K, Babulal CK. Fuzzy harmony search algorithm based optimal power flow for power system
security enhancement. International Journal of Electrical Power & Energy Systems 2016; 78: 72-79. doi:
10.1016/j.ijepes.2015.11.053
- [22] Rashedi E, Nezamabadi-Pour H, Saryazdi S. GSA: A gravitational search algorithm. Information Sciences 2009;
179 (13): 2232-2248. doi: 10.1016/j.ins.2009.03.004
- [23] Cui Y, Geng Z, Zhu Q, Han Y. Review: Multi-objective optimization methods and application in energy saving.
Energy 2017; 125: 681-704. doi: 10.1016/j.energy.2017.02.174
- [24] Rao RV, Savsani VJ, Vakharia DP. Teaching–learning-based optimization: a novel method for constrained mechanical design optimization problems. Computer-Aided Design 2011; 43 (3): 303-315. doi: 10.1016/j.cad.2010.12.015
- [25] Tefek MF, Uğuz H, Güçyetmez M. A new hybrid gravitational search–teaching– learning-based optimization method
for energy demand estimation of Turkey. Neural Computing & Applications 2017; 2017: 1-16. doi: 10.1007/s00521-
017-3244-9
- [26] Başaran Ü. Various power flow and economic dispatch analyses on 380 kV- interconnected power system in Turkey.
MSc, Anadolu University, Eskişehir, Turkey, 2004 (in Turkish with an abstract in English).
- [27] ETKB. Dünya ve Türkiye enerji ve tabii kaynaklar görünümü (Sayı 15). Ankara, Turkey: Enerji ve Tabii Kaynaklar
Bakanlığı-Strateji Geliştirme Başkanlığı Yayınları, 2017 (in Turkish).
- [28] Kurban M, Başaran Filik Ü. The comparative analysis of economic dispatch and optimal power flow methods for
22-bus 380-kV power system in Turkey. Pamukkale Üniversitesi Mühendislik Bilimleri Dergisi 2007; 13 (3): 369-378
(in Turkish with an abstract in English).
- [29] Malek M, Guruswamy M, Owens H, Pandya M. A Hybrid Algorithm Technique. Department of Computer Sciences
Technical Report 89-6. Austin, TX, USA: University of Texas, 1989.
- [30] Kıran MS. Optimizasyon problemlerinin çözümü için yapay arı kolonisi algoritması tabanlı yeni yaklaşımlar. PhD,
Selçuk University, Konya, Turkey, 2014 (in Turkish with an abstract in English).
- [31] Goldberg DE, Voessner S. Optimizing global-local search hybrids. In: GECCO 1999 Genetic and Evolutionary
Computation Conference; Orlando, FL, USA; 1999. pp. 220-228.
- [32] Gonsalves T. Hybrid swarm intelligence. In: Khosrow-Pour M (editor). Encyclopedia of Information Science and
Technology, 3rd ed. Hershey, PA, USA: IGI Global, 2015, pp. 175-186. doi: 10.4018/978-1-4666-5888-2.ch018
- [33] Venkata Rao R, Kalyankar VD. Multi-pass turning process parameter optimization using teaching–learning-based
optimization algorithm. Scientia Iranica 2013; 20 (3): 967-974. doi: 10.1016/j.scient.2013.01.002
- [34] Nadeem Malik T, Ul Asar A, Wyne MF, Akhtar S. A new hybrid approach for the solution of nonconvex economic dispatch problem with valve-point effects. Electric Power Systems Research 2010; 80 (9): 1128-1136. doi:
10.1016/j.epsr.2010.03.004
- [35] Liang JJ, Rumarsson TP, Mezura-Montes E, Clerc M, Suganthan PN et al. Problem Definitions and Evaluation
Criteria for the CEC 2006 Special Session on constrained Real-Parameter Optimization. Singapore: Nangyang
Technological University Technical Report, 2006.
- [36] Liu H, Cai Z, Wang Y. Hybridizing particle swarm optimization with differential evolution for constrained numerical
and engineering optimization. Applied Soft Computing 2010; 10: 629-640. doi: 10.1016/j.asoc.2009.08.031
- [37] Harman M, McMinn P. A Theoretical and empirical study of search-based testing: Local, global, and hybrid Search.
IEEE Transactions on Software Engineering 2010; 36: 226-247. doi: 10.1109/TSE.2009.71
- [38] Happ HH. Optimal power dispatch; a comprehensive survey. IEEE Transactions on Power Apparatus and Systems
1977; 96: 841-854. doi: 10.1109/T-PAS.1977.32397
- [39] Alsac O, Stott B. Optimal load flow with steady-state security. IEEE Transactions on Power Apparatus and Systems
1974; PAS-93 (3): 745-751. doi: 10.1109/TPAS.1974.293972
- [40] Zimmerman RD, Murillo-Sanchez CE, Thomas RJ. MATPOWER: Steady-state operations, planning, and analysis
tools for power systems research and education. IEEE Transactions on Power Systems 2011; 26: 12-19. doi:
10.1109/TPWRS.2010.2051168