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Application of Computational Intelligence Techniques for Economic Load Dispatch

Authors: C. Ardil, S. Panda, S.C. Swain, A.K. Mohanty


This paper presents the applications of computational intelligence techniques to economic load dispatch problems. The fuel cost equation of a thermal plant is generally expressed as continuous quadratic equation. In real situations the fuel cost equations can be discontinuous. In view of the above, both continuous and discontinuous fuel cost equations are considered in the present paper. First, genetic algorithm optimization technique is applied to a 6- generator 26-bus test system having continuous fuel cost equations. Results are compared to conventional quadratic programming method to show the superiority of the proposed computational intelligence technique. Further, a 10-generator system each with three fuel options distributed in three areas is considered and particle swarm optimization algorithm is employed to minimize the cost of generation. To show the superiority of the proposed approach, the results are compared with other published methods.

Keywords: Particle Swarm Optimization, economic load dispatch, real-coded genetic algorithm, quadratic programming, Continuous Fuel Cost, Discontinuous Fuel Cost

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[1] J. Wood and B. F. Wollenberg, "Power Generation Operation and Control," 2nd edition, New York: Willey, 1996.
[2] B. H. Chowdhury and S. Rahman, "A review of recent advances in economic dispatch," IEEE Transactions on Power Systems, vol. 5, no. 4, pp. 1248-1259, November 1990.
[3] A. Jiang and S. Ertem, "Economic dispatch with non-monotonically increasing incremental cost units and transmission system losses",IEEE Transactions on Power Systems, vol. 10, no. 2, pp. 891-897, May 1995.
[4] H.W. Dommel, "Optimal power dispatch", IEEE Transactions on Power Apparatus and Systems, PAS93 No. 3, pp. 820-830, 1974.
[5] C.O. Alsac, J. Bright, M. Paris, and Stott, "Developments in LP-based optimal power flow, IEEE Transaction of Power Systems", Vol. 5 No. 3, pp. 697-711, 1990.
[6] J. Nanda, D.P. Kothari, S.C. Srivastava, "New optimal power-dispatch algorithm using fletcher-s quadratic programming method", IEE Proceedings, Vol. 136 No. 3, pp. 153-161, 1989.
[7] H. T. Yang, P. C. Yang and C. L. Huang, "Evolutionary Programming Based Economic Dispatch For Units With Non-smooth Fuel Cost Functions," IEEE Transactions on Power Systems, Vol. 11, No. 1, pp. 112-118, 1996.
[8] T. Jayabarathi, G. Sadasivam and V. Ramachandran, "Evolutionary programming based economic dispatch of generators with prohibited operating zones," Electric Power Systems Research, Vol. 52, No. 3, pp. 261-266, 1999.
[9] Sidhartha Panda and N. P. Padhy, "Comparison of Particle Swarm Optimization and Genetic Algorithm for FACTS-based Controller Design", Applied Soft Computing. vol. 8, issue 4, pp. 1418-1427, 2008.
[10] D. E. Goldberg, "Genetic Algorithms in Search, Optimization and Machine Learning". Addison-Wesley, 1989.
[11] Sidhartha Panda, S.C. Swain, P.K. Rautray, R. Mallik, G. Panda, "Design and analysis of SSSC-based supplementary damping controller", Simulation Modelling Practice and Theory, doi: 10.1016/j.simpat.2010.04.007.
[12] Sidhartha Panda, C. Ardil, "Real-coded genetic algorithm for robust power system stabilizer design", International Journal of Electrical, Computer and System Engineering, vol. 2, no. 1, pp. 6-14, 2008.
[13] Sidhartha Panda, S.C. Swain, A.K. Baliarsingh, "Real-coded genetic algorithm for robust coordinated design of excitation and SSSC-based controller", Journal of Electrical Engineering, vol. 8, issue 4, pp. 31-38, 2008.
[14] S. Panda, S.C. Swain, A.K. Baliarsingh, C. Ardil, "Optimal supplementary damping controller design for TCSC employing RCGA", International Journal of Computational Intelligence, vol. 5, no. 1, pp. 36-45, 2009.
[15] J. Kennedy, R.C. Eberhart, "Particle swarm optimization", Proceedings of the IEEE International. Conference on Neural Networks, vol. 4, Piscataway, NJ, IEEE Service Center, 1995, pp. 1942-1948.
[16] J. Kennedy, R. Eberhart, "Swarm Intelligence", Academic press, San Diego, CA, 2001.
[17] Sidhartha Panda and N.P.Padhy, "Optimal location and controller design of STATCOM using particle swarm optimization", Journal of the Franklin Institute, vol.345, pp. 166-181, 2008.
[18] Sidhartha Panda, N.P.Padhy, R.N.Patel, "Power system stability improvement by PSO optimized SSSC-based damping controller", Electric Power Components & Systems, vol. 36, no. 5, pp. 468-490, 2008.
[19] S. Panda, N.P.Padhy and R.N.Patel, "Robust coordinated design of PSS and TCSC using PSO technique for power system stability enhancement", Journal of Electrical Systems, vol. 3, no. 2, pp. 109-123, 2007.
[20] S. Panda, S. K. Tomar, R. Prasad, C. Ardil, "Reduction of linear timeinvariant systems using routh-approximation and PSO", International Journal of Applied Mathematics and Computer Sciences, vol. 5, no. 2, pp. 82-89, 2009.
[21] N. Ramaraj and K. Nagappan, "Analytical method to optimize generation schedule", Journal of The Institution of Engineers (India), vol 66, p 240, 1987.
[22] C.E. Lin and G.L. Vivianib, "Hierarchical Economic Dispatch of Piecewise Quadratic Cost Functions", IEEE Transactions on PAS, vol. PAS-103, no 6, June, 1984.
[23] N. Ramaraj and R Rajaram, "Analytical approach to optimize generation schedule of plant with multiple fuel options", Journal of The Institution of Engineers (India), vol. 68, p 106, 1987.
[24] R.B. Kelkar and R.C. Desai, "easy approach to generation scheduling with multiple fuel options", Journal of The Institution of Engineers (India), vol. 80, p 96, 1999.
[25] R.M.S. Danraj and F. Gajendran, "An efficient algorithm to find optimal economic load dispatch for plants having discontinuous fuel cost functions", Journal of The Institution of Engineers (India), vol. 85, pp. 64-67, 2004.