Browse > Article
http://dx.doi.org/10.5370/JEET.2013.8.1.053

A Study on Multi-objective Optimal Power Flow under Contingency using Differential Evolution  

Mahdad, Belkacem (Dept. of Electrical Engineering, Biskra University)
Srairi, Kamel (Dept. of Electrical Engineering, Biskra University)
Publication Information
Journal of Electrical Engineering and Technology / v.8, no.1, 2013 , pp. 53-63 More about this Journal
Abstract
To guide the decision making of the expert engineer specialized in power system operation and control; the practical OPF solution should take in consideration the critical situation due to severe loading conditions and fault in power system. Differential Evolution (DE) is one of the best Evolutionary Algorithms (EA) to solve real valued optimization problems. This paper presents simple Differential Evolution (DE) Optimization algorithm to solving multi objective optimal power flow (OPF) in the power system with shunt FACTS devices considering voltage deviation, power losses, and power flow branch. The proposed approach is examined and tested on the standard IEEE-30Bus power system test with different objective functions at critical situations. In addition, the non smooth cost function due to the effect of valve point has been considered within the second practical network test (13 generating units). The simulation results are compared with those by the other recent techniques. From the different case studies, it is observed that the results demonstrate the potential of the proposed approach and show clearly its effectiveness to solve practical OPF under contingent operation states.
Keywords
Differential evolution; Multi objective function; Optimal power flow; Valve point effect; FACTS; SVC; Contingency;
Citations & Related Records
Times Cited By KSCI : 1  (Citation Analysis)
연도 인용수 순위
1 P. Pezzinia, O. Gomis-Bellmunt, and A. Sudrià- Andreua, "Optimization techniques to improve energy efficiency in power systems," Renewable and Sustainable Energy Reviews, pp. 2029-2041, 2011.
2 B. Sttot and J. L. Marinho, "Linear programming for power system network security applications," IEEE Trans. Power Apparat. Syst., Vol. PAS-98, pp. 837- 848, May/June 1979.   DOI   ScienceOn
3 S. Frank, I. Steponavice, and S. Rebennak, "Optimal power flow: a bibliographic survey I, formulations and deterministic methods," Int. J. Energy. System (Springer-Verlag), Vol. 3, No. 3, pp. 221-258, 2012.   DOI
4 J. Wood and B. F. Wollenberg, Power Generation, Operation, and Control, 2nd ed. New York: Wiley, 1984.
5 J. A. Momoh and J. Z. Zhu, "Improved interior point method for OPF problems," IEEE Trans. Power Syst., Vol. 14, pp. 1114-1120, Aug. 1999.   DOI   ScienceOn
6 Goldberg, D.E., Genetic algorithms in search, optimisation and machine learning. Massachusetts: Addison- Wesley, 1989.
7 Chen, P. H., Chang, H. C., "Large-scale economic dispatch by genetic algorithm," IEEE Trans. Power Systems, 10, 1919-1926. 1995.   DOI   ScienceOn
8 Glover, F., 1986. Tabu search - part i. ORSA Journal on Computing, 1(3), 190-206.
9 Kirkpatrick, S., Gelatt, C. D., Vecchi, M. P., 'Optimisation by simulated annealing. Science, 220, 671-679, 1983.   DOI   ScienceOn
10 Yuryevich, J., Wong, K. P. "Evolutionary programming based optimal power flow algorithm," IEEE Trans. Power Systems, 14(4), 1245-1250, 1999.   DOI   ScienceOn
11 Z. L. Gaing, "Particle swarm optimization to solving the economic dispatch considering the generator constraints," IEEE Trans. Power Systems, Vol. 18, No. 3, pp. 1187-1195, 2003.   DOI   ScienceOn
12 K. Price, R. Storn, and J. Lampinen, Differential Evolution: A Practical Approach to Global Optimization. Berlin, Germany: Springer-Verlag, 2005.
13 S. Sivasubramani, K.S. Swarup, "Multi-objective harmony search algorithm for optimal power flow problem," Electrical Power & Energy Systems (Elsevier), Vol. 33, pp.745-752, 2011.   DOI   ScienceOn
14 D. Karaboga, "An idea based on honey bee swarm for numerical optimization," Technical Report-TR06, Erciyes University of Engineering, Faculty of Computer Engineering Department, 2005.
15 D. Simon, "Biogeography-based optimization," IEEE Trans. Evol.Comput., Vol. 12, No. 6, pp. 702-713, Dec. 2008.   DOI   ScienceOn
16 A. Bhattacharya, and P. k, Chattopadhyay "Biogeaography- based optimization for different economic load dispatch problems," IEEE Trans. Power Syst., Vol. 25, No. 2, pp. 1064-1077, May. 2010.   DOI   ScienceOn
17 B. Akay , D. Karaboga, "A modified Artificial Bee Colony algorithm for real-parameter optimization," Journal of Information Sciences, 2010.
18 M. M. Eusuff, K. E. Lansey, "Optimization of water distribution network design using the shuffled frog leaping algorithm," Journal of Water Resources Planning and Management. Vol. 129, No.3, pp. 210- 225, June 2003.   DOI   ScienceOn
19 H. Nobahari, M. Nikusokhan, P. Siarry," Nondominated Sorting Gravitational Search Algorithm," ICSI 2011: International conference on swarm intelligence, 2011.
20 S. Frank, I. Steponavice, and S. Rebennak, "Optimal power flow: a bibliographic survey II, nondeterministic and hybrid methods," Int. J. Energy. System (Springer-Verlag), 2012.
21 R. Storn and K. Price, "Differential Evolution-A Simple and Efficient Adaptive Scheme for Global Optimization Over Continuous Spaces," International Computer Science Institute, Berkeley, CA, 1995, Tech. Rep. TR-95-012.
22 L. S. Coelho, R. C. Thom Souza, and V. Cocco mariani, "Improved differential evoluation approach based on clutural algorithm and diversity measure applied to solve economic load dispatch problems," Journal of Mathemtics and Computers in Simulation, Elsevier, Vol. 79, No. 10, pp. 3136-3147, 2009.   DOI   ScienceOn
23 B. Mahdad, K. Srairi "Differential evolution based dynamic decomposed strategy for solution of large practical economic dispatch," 10th EEEIC International Conference on Environment and Electrical Engineering, Italy, 2011.
24 B. Mahdad, T. Bouktir, K. Srairi, and M. EL. Benbouzid "Optimal Power Flow with Discontinous Fuel Cost Functions Using Decomposed GA Coordinated with Shunt FACTS," International Journal of Electrical Engineering & Technology (IJEET), Korea, Vol. 4, No. 4, pp. 315-322, 2009.   DOI   ScienceOn
25 A. Gupta, "Economic emission load dispatch using interval differential evolution algorithm," 4th International Workshop on reliable Engineering Computing (REC 2010).
26 J. S. Al-Sumait, J. K. Sykulski, A. K. Al-Othman, "Solution of different types of economic load dispatch problems using a pattern search method," Int. J. Electr. Power Components and Systems, Vol. 36, No. 3, pp. 250-265, 2008.   DOI   ScienceOn