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Erschienen in: Energy Systems 2/2018

18.01.2017 | Original Paper

Economic load dispatch problem: quasi-oppositional self-learning TLBO algorithm

verfasst von: Tapan Prakash, V. P. Singh, Sugandh P. Singh, S. R. Mohanty

Erschienen in: Energy Systems | Ausgabe 2/2018

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Abstract

This paper proposes a meta-heuristic algorithm named as quasi-oppositional self-learning teacher-learner-based-optimization (QOSLTLBO) for solving non-convex economic load dispatch (ELD) problem. The ELD problem is an essential concern of power system and its main objective is to allocate optimal power generation to each generating unit so as to minimize the total cost of generation while satisfying all constraints available in the system. The problem considered in this paper is a non-convex quadratic generation cost of the units (with or without valve-point loading effects) with power balance and generation limits as the system constraints. This model of generation cost is a continuous model of the ELD problem. The proposed algorithm includes a quasi-oppositional approach for better initialization of population. A self-learning phase is added after teacher phase and learner phase of basic teacher-learner-based-optimization (TLBO) algorithm to improve the convergence rate. To prove the efficacy and robustness of proposed algorithm, it is applied to solve ELD problem on different standard IEEE generator systems and the results, thus obtained are compared with other state-of-art algorithms. The minimum total cost of generation in all the cases are obtained from the proposed algorithm which proves its effectiveness over others. The additional advantage of the proposed QOSLTLBO algorithm is that it is kept free from algorithm-specific parameters like basic TLBO.

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Literatur
1.
Zurück zum Zitat Saadat, H.: Power System Analysis. WCB/McGraw-Hill, New York (1999) Saadat, H.: Power System Analysis. WCB/McGraw-Hill, New York (1999)
2.
Zurück zum Zitat El-Keib, A., Ma, H., Hart, J.: Environmentally constrained economic dispatch using the Lagrangian relaxation method. IEEE Trans. Power Syst. 9(4), 1723–1729 (1994)CrossRef El-Keib, A., Ma, H., Hart, J.: Environmentally constrained economic dispatch using the Lagrangian relaxation method. IEEE Trans. Power Syst. 9(4), 1723–1729 (1994)CrossRef
3.
Zurück zum Zitat Lee, F.N., Breipohl, A.M.: Reserve constrained economic dispatch with prohibited operating zones. IEEE Trans. Power Syst. 8(1), 246–254 (1993)CrossRef Lee, F.N., Breipohl, A.M.: Reserve constrained economic dispatch with prohibited operating zones. IEEE Trans. Power Syst. 8(1), 246–254 (1993)CrossRef
4.
Zurück zum Zitat Frank, S., Steponavice, I., Rebennack, S.: Optimal power flow: a bibliographic survey II. Energy Syst. 3(3), 259–289 (2012)CrossRef Frank, S., Steponavice, I., Rebennack, S.: Optimal power flow: a bibliographic survey II. Energy Syst. 3(3), 259–289 (2012)CrossRef
5.
Zurück zum Zitat Chen, P.-H., Chang, H.-C.: Large-scale economic dispatch by genetic algorithm. IEEE Trans. Power Syst. 10(4), 1919–1926 (1995)CrossRef Chen, P.-H., Chang, H.-C.: Large-scale economic dispatch by genetic algorithm. IEEE Trans. Power Syst. 10(4), 1919–1926 (1995)CrossRef
6.
Zurück zum Zitat Orero, S., Irving, M.R.: Economic dispatch of generators with prohibited operating zones: a genetic algorithm approach. In: IEE Proceedings of the Generation, Transmission and Distribution, pp. 529–534. IET (1996) Orero, S., Irving, M.R.: Economic dispatch of generators with prohibited operating zones: a genetic algorithm approach. In: IEE Proceedings of the Generation, Transmission and Distribution, pp. 529–534. IET (1996)
7.
Zurück zum Zitat Park, J.-B., Lee, K.-S., Shin, J.-R.: A particle swarm optimization for economic dispatch with nonsmooth cost functions. IEEE Trans. Power Syst. 20(1), 34–42 (2005)CrossRef Park, J.-B., Lee, K.-S., Shin, J.-R.: A particle swarm optimization for economic dispatch with nonsmooth cost functions. IEEE Trans. Power Syst. 20(1), 34–42 (2005)CrossRef
8.
Zurück zum Zitat Gaing, Z.-L.: Particle swarm optimization to solving the economic dispatch considering the generator constraints. IEEE Trans. Power Syst. 18(3), 1187–1195 (2003)CrossRef Gaing, Z.-L.: Particle swarm optimization to solving the economic dispatch considering the generator constraints. IEEE Trans. Power Syst. 18(3), 1187–1195 (2003)CrossRef
9.
Zurück zum Zitat Sinha, N., Chakrabarti, R., Chattopadhyay, P.: Evolutionary programming techniques for economic load dispatch. IEEE Trans. Evol. Comput. 7(1), 83–94 (2003)CrossRef Sinha, N., Chakrabarti, R., Chattopadhyay, P.: Evolutionary programming techniques for economic load dispatch. IEEE Trans. Evol. Comput. 7(1), 83–94 (2003)CrossRef
10.
Zurück zum Zitat Yang, H.-T., Yang, P.-C., Huang, C.-L.: Evolutionary programming based economic dispatch for units with non-smooth fuel cost functions. IEEE Trans. Power Syst. 11(1), 112–118 (1996)CrossRef Yang, H.-T., Yang, P.-C., Huang, C.-L.: Evolutionary programming based economic dispatch for units with non-smooth fuel cost functions. IEEE Trans. Power Syst. 11(1), 112–118 (1996)CrossRef
11.
Zurück zum Zitat Noman, N., Iba, H.: Differential evolution for economic load dispatch problems. Electric Power Syst. Res. 78(8), 1322–1331 (2008)CrossRef Noman, N., Iba, H.: Differential evolution for economic load dispatch problems. Electric Power Syst. Res. 78(8), 1322–1331 (2008)CrossRef
12.
Zurück zum Zitat dos Santos Coelho, L., Mariani, V.C.: Improved differential evolution algorithms for handling economic dispatch optimization with generator constraints. Energy Convers. Manag. 48(5), 1631–1639 (2007)CrossRef dos Santos Coelho, L., Mariani, V.C.: Improved differential evolution algorithms for handling economic dispatch optimization with generator constraints. Energy Convers. Manag. 48(5), 1631–1639 (2007)CrossRef
13.
Zurück zum Zitat Wong, K., Fung, C.: Simulated annealing based economic dispatch algorithm. In: IEE Proceedings C (Generation, Transmission and Distribution), pp. 509–515. IET (1993) Wong, K., Fung, C.: Simulated annealing based economic dispatch algorithm. In: IEE Proceedings C (Generation, Transmission and Distribution), pp. 509–515. IET (1993)
14.
Zurück zum Zitat Vo, D.N., Schegner, P., Ongsakul, W.: Cuckoo search algorithm for non-convex economic dispatch. Gener. Transmiss. Distrib. IET 7(6), 645–654 (2013)CrossRef Vo, D.N., Schegner, P., Ongsakul, W.: Cuckoo search algorithm for non-convex economic dispatch. Gener. Transmiss. Distrib. IET 7(6), 645–654 (2013)CrossRef
15.
Zurück zum Zitat Biswal, S., Barisal, A., Behera, A., Prakash, T.: Optimal power dispatch using BAT algorithm. In: 2013 International Conference on Energy Efficient Technologies for Sustainability (ICEETS), pp. 1018–1023. IEEE (2013) Biswal, S., Barisal, A., Behera, A., Prakash, T.: Optimal power dispatch using BAT algorithm. In: 2013 International Conference on Energy Efficient Technologies for Sustainability (ICEETS), pp. 1018–1023. IEEE (2013)
16.
Zurück zum Zitat Vijay, R.: Intelligent bacterial foraging optimization technique to economic load dispatch problem. Int. J. Soft Comput. Eng. (IJSCE), 2231–2307 (2012) Vijay, R.: Intelligent bacterial foraging optimization technique to economic load dispatch problem. Int. J. Soft Comput. Eng. (IJSCE), 2231–2307 (2012)
17.
Zurück zum Zitat Niknam, T., Golestaneh, F., Sadeghi, M.S.: Multiobjective teaching-learning-based optimization for dynamic economic emission dispatch. IEEE Syst. J. 6(2), 341–352 (2012)CrossRef Niknam, T., Golestaneh, F., Sadeghi, M.S.: Multiobjective teaching-learning-based optimization for dynamic economic emission dispatch. IEEE Syst. J. 6(2), 341–352 (2012)CrossRef
18.
Zurück zum Zitat Yang, X.-S., Hosseini, S.S.S., Gandomi, A.H.: Firefly algorithm for solving non-convex economic dispatch problems with valve loading effect. Appl. Soft Comput. 12(3), 1180–1186 (2012)CrossRef Yang, X.-S., Hosseini, S.S.S., Gandomi, A.H.: Firefly algorithm for solving non-convex economic dispatch problems with valve loading effect. Appl. Soft Comput. 12(3), 1180–1186 (2012)CrossRef
19.
Zurück zum Zitat Pothiya, S., Ngamroo, I., Kongprawechnon, W.: Application of multiple tabu search algorithm to solve dynamic economic dispatch considering generator constraints. Energy Convers. Manag. 49(4), 506–516 (2008)CrossRef Pothiya, S., Ngamroo, I., Kongprawechnon, W.: Application of multiple tabu search algorithm to solve dynamic economic dispatch considering generator constraints. Energy Convers. Manag. 49(4), 506–516 (2008)CrossRef
20.
Zurück zum Zitat dos Santos Coelho, L., Mariani, V.C.: An improved harmony search algorithm for power economic load dispatch. Energy Convers. Manag. 50(10), 2522–2526 (2009)CrossRef dos Santos Coelho, L., Mariani, V.C.: An improved harmony search algorithm for power economic load dispatch. Energy Convers. Manag. 50(10), 2522–2526 (2009)CrossRef
21.
Zurück zum Zitat Özyön, S., Aydin, D.: Incremental artificial bee colony with local search to economic dispatch problem with ramp rate limits and prohibited operating zones. Energy Convers. Manag. 65, 397–407 (2013)CrossRef Özyön, S., Aydin, D.: Incremental artificial bee colony with local search to economic dispatch problem with ramp rate limits and prohibited operating zones. Energy Convers. Manag. 65, 397–407 (2013)CrossRef
22.
Zurück zum Zitat Mandal, B., Roy, P.K., Mandal, S.: Economic load dispatch using Krill Herd algorithm. Int. J. Electr. Power Energy Syst. 57, 1–10 (2014)CrossRef Mandal, B., Roy, P.K., Mandal, S.: Economic load dispatch using Krill Herd algorithm. Int. J. Electr. Power Energy Syst. 57, 1–10 (2014)CrossRef
23.
Zurück zum Zitat Bhattacharya, A., Chattopadhyay, P.K.: Biogeography-based optimization for different economic load dispatch problems. IEEE Trans. Power Syst. 25(2), 1064–1077 (2010)CrossRef Bhattacharya, A., Chattopadhyay, P.K.: Biogeography-based optimization for different economic load dispatch problems. IEEE Trans. Power Syst. 25(2), 1064–1077 (2010)CrossRef
24.
Zurück zum Zitat Boroojeni, K.G., Amini, M.H., Iyengar, S.S., Rahmani, M., Pardalos, P.M.: An economic dispatch algorithm for congestion management of smart power networks. Energy Syst., 1–25 (2016). doi:10.1007/s12667-016-0224-6 Boroojeni, K.G., Amini, M.H., Iyengar, S.S., Rahmani, M., Pardalos, P.M.: An economic dispatch algorithm for congestion management of smart power networks. Energy Syst., 1–25 (2016). doi:10.​1007/​s12667-016-0224-6
25.
Zurück zum Zitat Duman, S., Güvenç, U., Yörükeren, N.: Gravitational search algorithm for economic dispatch with valve-point effects. Int. Rev. Electr. Eng. 5(6), 2890–2895 (2010) Duman, S., Güvenç, U., Yörükeren, N.: Gravitational search algorithm for economic dispatch with valve-point effects. Int. Rev. Electr. Eng. 5(6), 2890–2895 (2010)
26.
Zurück zum Zitat Pandi, V.R., Panigrahi, B.K.: Dynamic economic load dispatch using hybrid swarm intelligence based harmony search algorithm. Expert Syst. Appl. 38(7), 8509–8514 (2011)CrossRef Pandi, V.R., Panigrahi, B.K.: Dynamic economic load dispatch using hybrid swarm intelligence based harmony search algorithm. Expert Syst. Appl. 38(7), 8509–8514 (2011)CrossRef
27.
Zurück zum Zitat Victoire, T.A.A., Jeyakumar, A.E.: Hybrid PSO-SQP for economic dispatch with valve-point effect. Electric Power Syst. Res. 71(1), 51–59 (2004)CrossRef Victoire, T.A.A., Jeyakumar, A.E.: Hybrid PSO-SQP for economic dispatch with valve-point effect. Electric Power Syst. Res. 71(1), 51–59 (2004)CrossRef
28.
Zurück zum Zitat Chakraborty, S., Senjyu, T., Yona, A., Saber, A.Y., Funabashi, T.: Solving economic load dispatch problem with valve-point effects using a hybrid quantum mechanics inspired particle swarm optimisation. Gener. Transmiss. Distrib. IET 5(10), 1042–1052 (2011)CrossRef Chakraborty, S., Senjyu, T., Yona, A., Saber, A.Y., Funabashi, T.: Solving economic load dispatch problem with valve-point effects using a hybrid quantum mechanics inspired particle swarm optimisation. Gener. Transmiss. Distrib. IET 5(10), 1042–1052 (2011)CrossRef
29.
Zurück zum Zitat Niknam, T.: A new fuzzy adaptive hybrid particle swarm optimization algorithm for non-linear, non-smooth and non-convex economic dispatch problem. Appl. Energy 87(1), 327–339 (2010)CrossRef Niknam, T.: A new fuzzy adaptive hybrid particle swarm optimization algorithm for non-linear, non-smooth and non-convex economic dispatch problem. Appl. Energy 87(1), 327–339 (2010)CrossRef
30.
Zurück zum Zitat He, D., Wang, F., Mao, Z.: A hybrid genetic algorithm approach based on differential evolution for economic dispatch with valve-point effect. Int. J. Electr. Power Energy Syst. 30(1), 31–38 (2008)CrossRef He, D., Wang, F., Mao, Z.: A hybrid genetic algorithm approach based on differential evolution for economic dispatch with valve-point effect. Int. J. Electr. Power Energy Syst. 30(1), 31–38 (2008)CrossRef
31.
Zurück zum Zitat Sinha, N., Purkayastha, B.: PSO embedded evolutionary programming technique for nonconvex economic load dispatch. In: Power Systems Conference and Exposition, 2004. IEEE PES 2004, pp. 66–71. IEEE (2004) Sinha, N., Purkayastha, B.: PSO embedded evolutionary programming technique for nonconvex economic load dispatch. In: Power Systems Conference and Exposition, 2004. IEEE PES 2004, pp. 66–71. IEEE (2004)
32.
33.
Zurück zum Zitat Samal, P., Ganguly, S., Mohanty, S.: Planning of unbalanced radial distribution systems using differential evolution algorithm. Energy Syst., 1–22 (2016). doi:10.1007/s12667-016-0202-z Samal, P., Ganguly, S., Mohanty, S.: Planning of unbalanced radial distribution systems using differential evolution algorithm. Energy Syst., 1–22 (2016). doi:10.​1007/​s12667-016-0202-z
34.
35.
Zurück zum Zitat Rao, R.V., Savsani, V.J., Vakharia, D.: Teaching-learning-based optimization: a novel method for constrained mechanical design optimization problems. Comput. Aided Des. 43(3), 303–315 (2011)CrossRef Rao, R.V., Savsani, V.J., Vakharia, D.: Teaching-learning-based optimization: a novel method for constrained mechanical design optimization problems. Comput. Aided Des. 43(3), 303–315 (2011)CrossRef
36.
Zurück zum Zitat Rao, R.: Jaya: a simple and new optimization algorithm for solving constrained and unconstrained optimization problems. Int. J. Ind. Eng. Comput. 7(1), 19–34 (2016)MathSciNet Rao, R.: Jaya: a simple and new optimization algorithm for solving constrained and unconstrained optimization problems. Int. J. Ind. Eng. Comput. 7(1), 19–34 (2016)MathSciNet
37.
Zurück zum Zitat Yan, J., Li, K., Bai, E., Yang, Z., Foley, A.: Time series wind power forecasting based on variant Gaussian Process and TLBO. Neurocomputing (2016) Yan, J., Li, K., Bai, E., Yang, Z., Foley, A.: Time series wind power forecasting based on variant Gaussian Process and TLBO. Neurocomputing (2016)
38.
Zurück zum Zitat Michalewicz, Z., Schoenauer, M.: Evolutionary algorithms for constrained parameter optimization problems. Evolut. Comput. 4(1), 1–32 (1996)CrossRef Michalewicz, Z., Schoenauer, M.: Evolutionary algorithms for constrained parameter optimization problems. Evolut. Comput. 4(1), 1–32 (1996)CrossRef
39.
Zurück zum Zitat Tizhoosh, H.R.: Opposition-based learning: a new scheme for machine intelligence. In: CIMCA/IAWTIC 2005, pp. 695–701 (2005) Tizhoosh, H.R.: Opposition-based learning: a new scheme for machine intelligence. In: CIMCA/IAWTIC 2005, pp. 695–701 (2005)
40.
Zurück zum Zitat Peng, L., Wang, Y.: Differential evolution using uniform-quasi-opposition for initializing the population. Inf. Technol. J. 9(8), 1629–1634 (2010)CrossRef Peng, L., Wang, Y.: Differential evolution using uniform-quasi-opposition for initializing the population. Inf. Technol. J. 9(8), 1629–1634 (2010)CrossRef
41.
Zurück zum Zitat Zhile, Y., Kang, L., Qun, N., Yusheng, X., Foley, A.: A self-learning TLBO based dynamic economic/environmental dispatch considering multiple plug-in electric vehicle loads. J. Mod. Power Syst. Clean Energy 2(4), 298–307 (2014)CrossRef Zhile, Y., Kang, L., Qun, N., Yusheng, X., Foley, A.: A self-learning TLBO based dynamic economic/environmental dispatch considering multiple plug-in electric vehicle loads. J. Mod. Power Syst. Clean Energy 2(4), 298–307 (2014)CrossRef
42.
Zurück zum Zitat Aragón, V., Esquivel, S., Coello, C.C.: An immune algorithm with power redistribution for solving economic dispatch problems. Inf. Sci. 295, 609–632 (2015)MathSciNetCrossRef Aragón, V., Esquivel, S., Coello, C.C.: An immune algorithm with power redistribution for solving economic dispatch problems. Inf. Sci. 295, 609–632 (2015)MathSciNetCrossRef
43.
Zurück zum Zitat Eberhart, R.C., Kennedy, J.: A new optimizer using particle swarm theory. In: Proceedings of the Sixth International Symposium on Micro Machine and Human Science, New York, pp. 39–43 (1995) Eberhart, R.C., Kennedy, J.: A new optimizer using particle swarm theory. In: Proceedings of the Sixth International Symposium on Micro Machine and Human Science, New York, pp. 39–43 (1995)
44.
Zurück zum Zitat Karaboga, D., Basturk, B.: A powerful and efficient algorithm for numerical function optimization: artificial bee colony (ABC) algorithm. J. Glob. Optim. 39(3), 459–471 (2007)MathSciNetCrossRefMATH Karaboga, D., Basturk, B.: A powerful and efficient algorithm for numerical function optimization: artificial bee colony (ABC) algorithm. J. Glob. Optim. 39(3), 459–471 (2007)MathSciNetCrossRefMATH
45.
Zurück zum Zitat Price, K., Storn, R.: Differential Evolution—A Simple and Efficient Adaptive Scheme for Global Optimization Over Continuous Space. Intenational Computer Science Institute, Berkeley (1995)MATH Price, K., Storn, R.: Differential Evolution—A Simple and Efficient Adaptive Scheme for Global Optimization Over Continuous Space. Intenational Computer Science Institute, Berkeley (1995)MATH
46.
Zurück zum Zitat Mohamed, A.W.: An improved differential evolution algorithm with triangular mutation for global numerical optimization. Comput. Ind. Eng. 85, 359–375 (2015)CrossRef Mohamed, A.W.: An improved differential evolution algorithm with triangular mutation for global numerical optimization. Comput. Ind. Eng. 85, 359–375 (2015)CrossRef
47.
Zurück zum Zitat Brest, J., Greiner, S., Bošković, B., Mernik, M., Zumer, V.: Self-adapting control parameters in differential evolution: a comparative study on numerical benchmark problems. IEEE Trans. Evolut. Comput. 10(6), 646–657 (2006)CrossRef Brest, J., Greiner, S., Bošković, B., Mernik, M., Zumer, V.: Self-adapting control parameters in differential evolution: a comparative study on numerical benchmark problems. IEEE Trans. Evolut. Comput. 10(6), 646–657 (2006)CrossRef
48.
Zurück zum Zitat Huang, J., Li, X., Gao, L.: A new hybrid algorithm for unconstrained optimisation problems. Int. J. Comput. Appl. Technol. 46(3), 187–194 (2013)CrossRef Huang, J., Li, X., Gao, L.: A new hybrid algorithm for unconstrained optimisation problems. Int. J. Comput. Appl. Technol. 46(3), 187–194 (2013)CrossRef
Metadaten
Titel
Economic load dispatch problem: quasi-oppositional self-learning TLBO algorithm
verfasst von
Tapan Prakash
V. P. Singh
Sugandh P. Singh
S. R. Mohanty
Publikationsdatum
18.01.2017
Verlag
Springer Berlin Heidelberg
Erschienen in
Energy Systems / Ausgabe 2/2018
Print ISSN: 1868-3967
Elektronische ISSN: 1868-3975
DOI
https://doi.org/10.1007/s12667-017-0230-3

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