### An Application of Differential Search Algorithm in Solving Non-Convex Economic Dispatch Problems with Valve-Point Effects

^{(*)}

*Corresponding author*

**DOI's assignment:**

*the author of the article can submit here a request for assignment of a DOI number to this resource!*

**Cost of the service: euros 10,00 (for a DOI)**

#### Abstract

This paper presents an application of Differential Search (DS) algorithm for solving non-convex economic dispatch (ED) problems with the valve loading effects. ED is one of the most challenging problems of power system since it is difficult to determine the optimum generation scheduling to meet the particular load demand with the minimum fuel costs while all constraints are satisfied. In addition, the practical ED problems which are involving non-convex objective functions with equality and inequality constraints including the practical operation constraints of generators such as ramp rate limit, prohibited operating zones and generation limits make it harder to solve the global optimum using conventional methods. In this paper, DS is adopted to find the global optimum results of ED. To demonstrate the effectiveness and feasibility of DS in solving ED, four well known ED test systems with non-convex solution features have been tested and compared with some of the most recently published ED solution methods in literature. The results of this research show that DS is able to find more economical solution than those determined by other methods. *Copyright © 2013 Praise Worthy Prize - All rights reserved.*

#### Keywords

#### Full Text:

PDF#### References

M. Madrigal and V. H. Quintana, An analytical solution to the economic dispatch problem, IEEE Power Engineering Review, vol. 20, pp. 52-55, 2000.

T. Yalcinoz and H. Altun, Power economic dispatch using a hybrid genetic algorithm, IEEE Power Engineering Review, vol. 21, pp. 59-60, 2001.

T. Yalcinoz, H. Altun, and M. Uzam, Economic dispatch solution using a genetic algorithm based on arithmetic crossover, in 2001 IEEE Porto Power Tech Proceedings, 2001, p. 4 pp. vol.2.

S. Baskar, P. Subbaraj, and M. V. C. Rao, Hybrid real coded genetic algorithm solution to economic dispatch problem, Computers & Electrical Engineering, vol. 29, pp. 407-419, 2003.

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.

L. d. S. Coelho and V. C. Mariani, An improved harmony search algorithm for power economic load dispatch, Energy Conversion and Management, vol. 50, pp. 2522-2526, 2009.

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.

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.

S. K. Nayak, K. R. Krishnanand, B. K. Panigrahi, and P. K. Rout, Application of Artificial Bee Colony to economic load dispatch problem with ramp rate limits and prohibited operating zones, in World Congress on Nature & Biologically Inspired Computing, 2009. NaBIC 2009. 2009, pp. 1237-1242.

S. Ozyon, C. Yasar, B. Durmus, and D. Aydin, The application of artificial bee colony algorithm for the economic power dispatch with prohibited operating zone, in 2012 International Symposium on Innovations in Intelligent Systems and Applications (INISTA), 2012, pp. 1-5.

T. Niknam, H. D. Mojarrad, H. Z. Meymand, and B. B. Firouzi, A new honey bee mating optimization algorithm for non-smooth economic dispatch, Energy, vol. 36, pp. 896-908, 2011.

M. Ke, W. Hong Gang, D. ZhaoYang, and W. Kit Po, Quantum-Inspired Particle Swarm Optimization for Valve-Point Economic Load Dispatch, IEEE Transactions on Power Systems, vol. 25, pp. 215-222, 2010.

K. T. Chaturvedi, M. Pandit, and L. Srivastava, Self-Organizing Hierarchical Particle Swarm Optimization for Nonconvex Economic Dispatch, IEEE Transactions on Power Systems, vol. 23, pp. 1079-1087, 2008.

L. d. S. Coelho and V. C. Mariani, An improved harmony search algorithm for power economic load dispatch, Energy Conversion and Management, vol. 50, pp. 2522-2526, 2009.

A. K. Das, R. Majumdar, K. R. Krishnanand, and B. K. Panigrahi, Economic load dispatch using hybridized Differential Evolution and invasive weed operation, in International Conference on Energy, Automation, and Signal (ICEAS), 2011, pp. 1-5.

S. Affijulla and S. Chauhan, A new intelligence solution for power system economic load dispatch, in 10th International Conference on Environment and Electrical Engineering (EEEIC), 2011, pp. 1-5.

S. Duman, A. B. Arsoy, and N. Yorukeren, Solution of economic dispatch problem using Gravitational Search Algorithm, in 7th International Conference on Electrical and Electronics Engineering (ELECO), 2011.

M. Basu, Artificial immune system for dynamic economic dispatch, International Journal of Electrical Power & Energy Systems, vol. 33, pp. 131-136, 2011.

Subramanian, R., Thanushkodi, K., Solving Economic Load Dispatch problems by Novel TANAN's algorithm (NTA), (2013) International Review on Modelling and Simulations (IREMOS), 6 (3), pp. 814-818.

L. Wang and L.-p. Li, An effective differential harmony search algorithm for the solving non-convex economic load dispatch problems, International Journal of Electrical Power & Energy Systems, vol. 44, pp. 832-843, 2013.

S. Ahmed Yousuf, Economic dispatch using particle swarm optimization with bacterial foraging effect, International Journal of Electrical Power & Energy Systems, vol. 34, pp. 38-46, 2012.

T. A. A. Victoire and A. E. Jeyakumar, Hybrid PSO–SQP for economic dispatch with valve-point effect, Electric Power Systems Research, vol. 71, pp. 51-59, 2004.

C. Christober Asir Rajan, A solution to the economic dispatch using EP based SA algorithm on large scale power system, International Journal of Electrical Power & Energy Systems, vol. 32, pp. 583-591, 2010.

D. He, F. Wang, and Z. Mao, A hybrid genetic algorithm approach based on differential evolution for economic dispatch with valve-point effect, International Journal of Electrical Power & Energy Systems, vol. 30, pp. 31-38, 2008.

K. Vaisakh, P. Praveena, S. Rama Mohana Rao, and K. Meah, Solving dynamic economic dispatch problem with security constraints using bacterial foraging PSO-DE algorithm, International Journal of Electrical Power & Energy Systems, vol. 39, pp. 56-67, 2012.

P. Civicioglu, Transforming geocentric cartesian coordinates to geodetic coordinates by using differential search algorithm, Computers & Geosciences, vol. 46, pp. 229-247, 2012.

C. Po-Hung and C. Hong-Chan, Large-scale economic dispatch by genetic algorithm, IEEE Transactions on Power Systems, vol. 10, pp. 1919-1926, 1995.

C.-C. Kuo, A novel string structure for economic dispatch problems with practical constraints, Energy Conversion and Management, vol. 49, pp. 3571-3577, 2008.

M. H. Sulaiman, M. W. Mustafa, H. Daniyal, Modified Firefly Algorithm in Solving Economic Dispatch Problems with Practical Constraints, in 2012 IEEE International Conference on Power and Energy (PECon), 2-5 Dec. 2012, Kota Kinabalu, Malaysia, 2012.

B. K. Panigrahi and V. R. Pandi, Bacterial foraging optimisation: Nelder-Mead hybrid algorithm for economic load dispatch, IET Generation, Transmission & Distribution, vol. 2, pp. 556-565, 2008.

Nelson Jayakumar, D., Venkatesh, P., Diversity preserved multiobjective evolutionary programming algorithm for environmental/economic dispatch problem, (2012) International Review of Electrical Engineering (IREE), 7 (4), pp. 5174-5185.

Christopher Columbus, C., Simon, S.P., A hybrid artificial bee colony approach for security constrained unit commitment, (2012) International Review of Electrical Engineering (IREE), 7 (4), pp. 5155-5166.

Payam, M.S., Bijami, E., An artificial bee colony algorithm to solve nonlinear and nonconvex economic dispatch problem in power systems, (2012) International Review of Electrical Engineering (IREE), 7 (4), pp. 5144-5154.

Calderon, F., Fuerte-Esquivel, C.R., Flores, J.J., Silva-Chavez, J.C., Seck-Tuoh-Mora, J.C., Feasible solution constraint-handling genetic algorithm to power economic dispatch, (2012) International Review of Electrical Engineering (IREE), 7 (2), pp. 4283-4291.

Chandrasekaran, K., Simon, S.P., Firefly algorithm for reliable/emission/economic dispatch multi objective problem, (2012) International Review of Electrical Engineering (IREE), 7 (1), pp. 3414-3425.

Krishnamurthy, S., Tzoneva, R., Investigation of the methods for single area and multi area optimization of a power system dispatch problem, (2012) International Review of Electrical Engineering (IREE), 7 (1), pp. 3600-3627.

Muthuselvan, N.B., Devesh Raj, M., Somasundaram, P., Cauchy - Gaussian infused particle swarm optimization for economic dispatch with wind power generation, (2011) International Review of Electrical Engineering (IREE), 6 (1), pp. 387-395.

### Refbacks

- There are currently no refbacks.

Please send any question about this web site to info@praiseworthyprize.com**Copyright © 2005-2023 Praise Worthy Prize**