Artificial bee colony optimization for economic dispatch with valve point effect

Abstract

In recent years, various heuristic optimization methods have been proposed to solve economic dispatch (ED) problem in power systems. This paper presents the well-known power system ED problem solution considering valve-point effect by a new optimization algorithm called artificial bee colony (ABC). The proposed approach has been applied to various test systems with incremental fuel cost function, taking into account the valve-point effects. The results show that the proposed approach is efficient and robust when compared with other optimization algorithms reported in literature.

Keywords

artificial bee colony (ABC) algorithm / economic dispatch (ED) / valve-point effect / optimization

References

[1] Alsumait J S, Sykulski J K, Al-Othman A K. A hybrid GA-PS-SQP method to solve power system valve-point economic dispatch problems. Applied Energy, 2010, 87(5): 1773–1781

[2] He D K, Wang F L, Mao Z Z. Hybrid genetic algorithm for economic dispatch with valve point effect. Electric Power Systems Research, 2008, 78(4): 626–633

[3] Lin W M, Chen S J. Bid-based dynamic economic dispatch with an efficient interior point algorithm. International Journal of Electrical Power & Energy Systems, 2002, 24(1): 51–57

[4] Granelli G P, Montagna M. Security-constrained economic dispatch using dual quadratic programming. Electric Power Systems Research, 2000, 56(1): 71–80

[5] Silva M D A C, Coelho L D S. Biogeography-based optimization combined with predator-prey approach applied to economic load dispatch. In: 2010 Eleventh Brazilian Symposium on Neural Networks (SBRN). Sao Paulo, Brazil, 2010, 164–169

[6] Sivasubramani S, Swarup K S. Multi-agent based differential evolution algorithm for economic dispatch with generator constraints. Journal of Electrical Systems, 2009, 5(4): 164–169

[7] Dakuo He, Wang F L, Mao Z Z. A hybrid genetic algorithm approach based on differential evolution for economic dispatch with valve-point effect. International Journal of Electrical Power & Energy Systems, 2008, 30(1): 31–38

[8] dos Santos Coelho L, Mariani V C. Particle swarm approach based on quantum mechanics and harmonic oscillator potential well for economic load dispatch with valve-point effects. Energy Conversion and Management, 2008, 49(11): 3080–3085

[9] Al-Sumait J S, Al-Othman A K, Sykulski J K. Application of pattern search method to power system valve-point economic load dispatch. Electrical Power and Energy Systems, 2007, 29(10): 720–730

[10] Su C T, Lin C T. New approach with a Hopfield modelling framework to economic dispatch. IEEE Transactions on Power Systems, 2000, 15(2): 541–545

[11] Zhang Z S. Quantum-behaved particle swarm optimization algorithm for economic load dispatch of power system. Expert Systems with Applications, 2010, 37(2): 1800–1803

[12] Bhattacharya A, Chattopadhyay P K. Solving complex economic load dispatch problems using biogeography-based optimization. Expert Systems with Applications, 2010, 37(5): 3605–3615

[13] Hosseini S H, Dobakhshari A S, Jalayer R. A novel mathematical-heuristic method for non-convex dynamic economic dispatch. International Review of Electrical Engineering, 2009, 4(1): 108–109

[14] Subramanian S, Anandhakumar R. Dynamic economic dispatch solution using composite cost function. International Review of Electrical Engineering, 2010, 5(4) Part B: 1664–1669

[15] Hooshmand R, Mohammadi A H. Emission and economic load & reserve dispatch with frequency constraints in competitive power market. International Review of Electrical Engineering, 2008, 3(4): 682–690

[16] Karaboga D. An idea based on honey bee swarm for numerical optimization. Technical Report-Tr06t, Computer Engineering Department, Engineering faculty, Erciyes University, Turkey, 2005

[17] Karaboga D, Basturk B. On the performance of artificial bee colony (ABC) algorithm. Applied Soft Computing, 2008, 8(1): 687–697

[18] Victoire T A A, Jeyakumar A E. Hybrid PSO-SQP for economic dispatch with valve-point effect. Electric Power Systems Research, 2004, 71(1): 51–59

[19] Sinha N, Chakrabarti R, Chattopadhyay P K. Evolutionary programming techniques for economic load dispatch. IEEE Transactions on Evolutionary Computation, 2003, 7(1): 83–94

[20] Duman S, Güvenç U, Yörükeren N. Gravitational search algorithm for economic dispatch with valve-point effects. International Review of Electrical Engineering (I.R.E.E), 2010, 5(6): 2890–2895

[21] Wang S K, Chiou J P, Liu C W. Non-smooth/non-convex economic dispatch by a novel hybrid differential evolution algorithm. IET Generation, Transmission and Distribution, 2007, 1(5): 793–803

[22] Chiang C L. Improved genetic algorithm for economic dispatch of units with valve-point effects and multiple fuels. IEEE Transactions on Power Systems, 2005, 20(4): 1690–1699

[23] Noman N, Iba H. Differential evolution for economic load dispatch problems. Electric Power Systems Research, 2008, 78(8): 1322–1331

[24] Chiang C L. Genetic-based algorithm for power economic load dispatch. IET Generation, Transmission and Distribution, 2007, 1(2): 261–269

[25] Selvakumar A I, Thanushkodi K. A new particle swarm optimization solution to non-convex economic dispatch problems. IEEE Transactions on Power Systems, 2007, 22(1): 42–51

[26] Amjady N, Sharifzadeh H. Solution of non-convex economic dispatch problem considering valve loading effect by a new modified differential evolution algorithm. International Journal of Electrical Power & Energy Systems, 2010, 32(8): 893–903

[27] Lu H, Sriyanyong P, Song Y H, Dillon T. Experimental study of a new hybrid PSO with mutation for economic dispatch with non-smooth cost function. International Journal of Electrical Power & Energy Systems, 2010, 32(9): 921–935

[28] Niknam T. A new fuzzy adaptive hybrid particle swarm optimization algorithm for non-linear, non-smooth and non-convex economic dispatch problem. Applied Energy, 2010, 87(1): 327–339

[29] Al-Sumait J S, Al-Othman A K, Sykulski J K. Application of pattern search method to power system valve-point economic load dispatch. International Journal of Electrical Power & Energy Systems, 2007, 29(10): 720–730

[30] Victoire T A A, Jeyakumar A E. Hybrid PSO-SQP for economic dispatch with valve-point effect. Electric Power Systems Research, 2004, 71(1): 51–59

[31] Park J B, Lee K S, Shin J R, Lee K Y. A particle swarm optimization for economic dispatch with nonsmooth cost function. IEEE Transactions on Power Systems, 2005, 20(1): 34–42

[32] Pereira-Neto A, Unsihuay C, Saavedra O R. Efficient evolutionary strategy optimization procedure to solve the nonconvex economic dispatch problem with generator constraints. IEE Proceedings-Generation, Transmission and Distribution, 2005, 152(5): 653–660

[33] dos Santos Coelho L, Mariani V C. Combining of chaotic differential evolution and quadratic programming for economic dispatch optimization with valve-point effect. IEEE Transactions on Power Systems, 2006, 21(2): 989–996

[34] Liu D, Cai Y. Taguchi method for solving the economic dispatch problem with nonsmooth cost functions. IEEE Transactions on Power Systems, 2005, 20(4): 2006–2014

[35] Amjady N, Nasiri-Rad H. Solution of nonconvex and nonsmooth economic dispatch by a new adaptive real coded genetic algorithm. Expert Systems with Applications, 2010, 37(7): 5239–5245

[36] Pothiya S, Ngamroo I, Kongprawechnon W. Ant colony optimisation for economic dispatch problem with non-smooth cost functions. Electrical Power and Energy Systems, 2010, 32(5): 478–487

RIGHTS & PERMISSIONS

Higher Education Press and Springer-Verlag Berlin Heidelberg