Abstract
Due to its economical importance, the unit commitment problem has become a matter of concern in power systems, and consequently an important area of research. It is a nonlinear mixed-integer optimization problem, in which a given number of power generating units are to be scheduled in such a way that the forecasted demand is met at minimum production cost over a time horizon. In this paper a binary-real-coded differential evolution along with some repairing mechanisms is investigated as the solution technique of the problem. In the computational experiment carried out with a hypothetical 10-unit power system over 24-hour time horizon, available in the literature, the proposed technique is found outperforming all the existing methods.
This is a preview of subscription content, log in via an institution.
Buying options
Tax calculation will be finalised at checkout
Purchases are for personal use only
Learn about institutional subscriptionsPreview
Unable to display preview. Download preview PDF.
References
Abookazemi, K., Ahmad, H., Tavakolpour, A., Hassan, M.Y.: Unit commitment solution using an optimized genetic system. Electrical Power and Energy Systems 33(4), 969–975 (2011)
Abookazemi, K., Mustafa, M.W., Ahmad, H.: Structured genetic algorithm technique for unit commitment problem. Int. J. Recent Trends in Engineering 1(3), 135–139 (2009)
Balci, H.H., Valenzuela, J.F.: Scheduling electric power generations using particle swarm optimization combined with the Lagrangian relaxation method. Int. J. Applied Mathematics and Computer Science 14(3), 411–421 (2004)
Chang, C.S.: An improved differential evolution scheme for the solution of large-scale unit commitment problems. Informatica. 21(2), 175–190 (2010)
Cheng, C.P., Liu, C.W., Liu, C.C.: Unit commitment by Lagrangian relaxation and genetic algorithms. IEEE Transactions on Power Systems 15(2), 707–714 (2000)
Cohen, A.I., Yoshimura, M.: A branch-and-bound algorithm for unit commitment. IEEE Transactions on Power Apparatus and Systems PAS 102(2), 444–451 (1983)
Damousis, I.G., Bakirtzis, A.G., Dokopoulos, P.S.: A solution to the unit commitment problem using integer-coded genetic algorithm. IEEE Transactions on Power Systems 19(2), 1165–1172 (2004)
Datta, D., Figueira, J.R.: A real-integer-discrete-coded differential evolution algorithm: A preliminary study. In: Cowling, P., Merz, P. (eds.) EvoCOP 2010. LNCS, vol. 6022, pp. 35–46. Springer, Heidelberg (2010)
Deb, K.: An efficient constraint handling method for genetic algorithms. Computer Methods in Applied Mechanics and Engineering 186, 311–338 (2000)
Dieu, V.N., Ongsakul, W.: Enhanced augmented Lagrangian hopfield network for unit commitment. IEE Proc. on Generation, Transmission and Distribution 153, 624–632 (2006)
Jeong, Y.W., Lee, W.N., Kim, H.H., Park, J.B., Shin, J.R.: Thermal unit commitment using binary differential evolution. J. Electrical Engg. & Tech. 4(3), 323–329 (2009)
Juste, K.A., Kita, H., Tanaka, E., Hasegawa, J.: An evolutionary programming solution to the unit commitment problem. IEEE Transactions on Power Systems 14(4), 1452–1459 (1999)
Kazarlis, S.A., Bakirtzis, A.G., Petridis, V.: A genetic algorithm solution to the unit commitment problem. IEEE Transactions on Power Systems 11(1), 83–92 (1996)
Keleş, A.: Binary differential evolution for the unit commitment problem. In: Genetic and Evolutionary Computation Conference (GECCO 2007), London, UK, pp. 2765–2768 (2007)
Lee, T.Y., Chen, C.L.: Unit commitment with probabilistic reserve: An IPSO approach. Energy Conversion and Management 48(2), 486–493 (2007)
Mantawy, A.H., Abdel-Magid, Y.L., Selim, S.Z.: Unit commitment by tabu search. IEE Proc. on Generation, Transmission and Distribution. 145, 56–64 (1998)
Ongsakul, W., Petcharaks, N.: Unit commitment by enhanced adaptive Lagrangian relaxation. IEEE Transactions on Power Systems 19(1), 620–628 (2004)
Patra, S., Goswami, S.K., Goswami, B.: A binary differential evolution algorithm for transmission and voltage constrained unit commitment. In: Power System Technology and IEEE Power India Conference (POWERCON 2008), New Delhi, pp. 1–8 (2008)
Patra, S., Goswami, S.K., Goswami, B.: Differential evolution algorithm for solving unit commitment with ramp constraints. Electric Power Components and Systems 36(8), 771–787 (2008)
Pavez-Lazo, B., Soto-Cartes, J.: A deterministic annular crossover genetic algorithm optimisation for the unit commitment problem. Expert Systems with Applications 38(6), 6523–6529 (2011)
Senjyu, T., Yamashiro, H., Uezato, K., Funabashi, T.: A unit commitment problem by using genetic algorithm based on unit characteristic classification. In: IEEE Conf. on Power Engineering Society Winter Meeting, vol. 1, pp. 58–63 (2002)
Senjyua, T., Miyagia, T., Sabera, A.Y., Urasakia, N., Funabashib, T.: Emerging solution of large-scale unit commitment problem by stochastic priority list. Electric Power Systems Research 76(5), 283–292 (2006)
Storn, R., Price, K.: Differential evolution - A simple and efficient adaptive scheme for global optimization over continuous spaces. Tech. Rep. TR-95-012, International Computer Science Institute, Berkeley, CA (1995)
Storn, R., Price, K.: Differential evolution - A simple and efficient heuristic for global optimization over continuous spaces. Journal of Global Optimization 11, 341–354 (1997)
Su, C.C., Hsu, Y.Y.: Fuzzy dynamic programming: an application to unit commitment. IEEE Transactions on Power Systems 6(3), 1231–1237 (1991)
Takriti, S., Birge, J.: Using integer programming to refine Lagrangian-based unit commitment solutions. IEEE Transactions on Power Systems 15(1), 151–156 (2000)
Ting, T.O., Rao, M.V.C., Loo, C.K., Ngu, S.S.: Solving unit commitment problem using hybrid particle swarm optimization. J. Heuristics 9(6), 507–520 (2003)
Uyar, A.S., Türkay, B., Keleş, A.: A novel differential evolution application to short-term electrical power generation scheduling. Electrical Power and Energy Systems 33(6), 1236–1242 (2011)
Valenzuela, J., Smith, A.E.: A seeded memetic algorithm for large unit commitment problems. J. Heuristics 8(2), 173–195 (2002)
Wood, A.J., Wollenberg, B.: Power Generation Operation and Control. John Wiley, New York (1984)
Yuan, X., Su, A., Nie, H., Yuan, Y., Wang, L.: Application of enhanced discrete differential evolution approach to unit commitment problem. Energy Conversion & Management 50, 2449–2456 (2009)
Yuan, X., Su, A., Nie, H., Yuan, Y., Wang, L.: Unit commitment problem using enhanced particle swarm optimization algorithm. Soft Computing 15(1), 139–148 (2011)
Zhuang, F., Galiana, F.D.: Unit commitment by simulated annealing. IEEE Transactions on Power Systems 5(1), 311–318 (1990)
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2011 Springer-Verlag Berlin Heidelberg
About this paper
Cite this paper
Dutta, S., Datta, D. (2011). A Binary-Real-Coded Differential Evolution for Unit Commitment Problem: A Preliminary Study. In: Sombattheera, C., Agarwal, A., Udgata, S.K., Lavangnananda, K. (eds) Multi-disciplinary Trends in Artificial Intelligence. MIWAI 2011. Lecture Notes in Computer Science(), vol 7080. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-25725-4_36
Download citation
DOI: https://doi.org/10.1007/978-3-642-25725-4_36
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-642-25724-7
Online ISBN: 978-3-642-25725-4
eBook Packages: Computer ScienceComputer Science (R0)