An Efficient Constraint Handling Approach for Economic Load Dispatch Problem with Non-Smooth Cost Function


Article Preview

Increasing of the power demand and fuel cost in power generation required an advanced algorithm for scheduling the output of generating unit in economical manner. The economic load dispatch problem (ELD) problem consists several operational and system constraints such as prohibited operating zones (POZs) and ramp-rate limit that need to handle wisely by optimization algorithm. Previously, the penalty function is widely used to satisfy the power balance and other constraints by augmenting the objective function with the penalized function. However, it required a proper penalty factor tuning and depends on the size of problem. This paper proposes an efficient constraint handling based on the repairing or adjusting infeasible solution into feasible solution in every iterative process. The simulation results show that the proposed constraints handling approach is better than penalty function approach in term of convergence characteristic and robustness.



Edited by:

Ismail Musirin and Shahril Irwan Sulaiman




M. N. Abdullah et al., "An Efficient Constraint Handling Approach for Economic Load Dispatch Problem with Non-Smooth Cost Function", Applied Mechanics and Materials, Vol. 785, pp. 490-494, 2015

Online since:

August 2015




* - Corresponding Author

[1] S. Jun, V. Palade, W. Xiao-Jun, F. Wei, and W. Zhenyu, Solving the Power Economic Dispatch Problem With Generator Constraints by Random Drift Particle Swarm Optimization, IEEE Transactions on Industrial Informatics, vol. 10, pp.222-232, (2014).


[2] S. Özyön and D. Aydin, Incremental artificial bee colony with local search to economic dispatch problem with ramp rate limits and prohibited operating zones, Energy Conversion and Management, vol. 65, pp.397-407, (2013).


[3] I. Ciornei and E. Kyriakides, A GA-API Solution for the Economic Dispatch of Generation in Power System Operation, IEEE Transactions on Power Systems, vol. 27, pp.233-242, (2012).


[4] N. Sinha, R. Chakrabarti, and P. K. Chattopadhyay, Evolutionary programming techniques for economic load dispatch, IEEE Transactions on Evolutionary Computation, vol. 7, pp.83-94, (2003).


[5] A. Safari and H. Shayeghi, Iteration particle swarm optimization procedure for economic load dispatch with generator constraints, Expert Systems with Applications, vol. 38, pp.6043-6048, (2011).


[6] M. Basu and A. Chowdhury, Cuckoo search algorithm for economic dispatch, Energy, vol. 60, pp.99-108, (2013).


[7] M. N. Abdullah, A. H. Abu Bakar, N. A. Rahim, and H. Moklis, Economic load dispatch with nonsmooth cost functions using evolutionary particle swarm optimization, IEEJ Transactions on Electrical and Electronic Engineering, vol. 8, pp. S30-S37, (2013).


[8] O. Abedinia, N. Amjady, A. Ghasemi, and Z. Hejrati, Solution of economic load dispatch problem via hybrid particle swarm optimization with time-varying acceleration coefficients and bacteria foraging algorithm techniques, International Transactions on Electrical Energy Systems, pp. n/a-n/a, (2013).


[9] G. Zwe-Lee, Particle swarm optimization to solving the economic dispatch considering the generator constraints, IEEE Transactions on Power Systems, vol. 18, pp.1187-1195, (2003).


[10] K. Zare, M. T. Haque, and E. Davoodi, Solving non-convex economic dispatch problem with valve point effects using modified group search optimizer method, Electric Power Systems Research, vol. 84, pp.83-89, (2012).


[11] C. Yaşar and S. Özyön, A new hybrid approach for nonconvex economic dispatch problem with valve-point effect, Energy, vol. 36, pp.5838-5845, (2011).


[12] M. N. Abdullah, A. H. A. Bakar, N. A. Rahim, H. Mokhlis, H. A. Illias, and J. J. Jamian, Modified Particle Swarm Optimization with Time Varying Acceleration Coefficients for Economic Load Dispatch with Generator Constraints, Journal of Electrical Engineering and Technology, vol. 9, p.11, (2014).


[13] X. -S. Yang, S. S. Sadat Hosseini, and A. H. Gandomi, Firefly Algorithm for solving non-convex economic dispatch problems with valve loading effect, Applied Soft Computing, vol. 12, pp.1180-1186, (2012).