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A Fuzzy Particle Swarm Optimization for Solving the Economic Dispatch Problem

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Proceedings of the International Conference on Soft Computing for Problem Solving (SocProS 2011) December 20-22, 2011

Part of the book series: Advances in Intelligent and Soft Computing ((AINSC,volume 130))

Abstract

This paper presents a fuzzy particle swarm optimizer to solve the economic load dispatch (ELD) problem of thermal generators of a power system. Several factors such as quadratic cost functions with valve point loading is considered in the computation models. The Fuzzy particle swarm optimization (FPSO) provides a new mechanism to avoid premature convergence problem with optimum solution. The proposed method has been applied to 3 and 40 generator power system whose cost functions are non-convex in nature. Results obtained by this method have been compared with those obtained by PSO method. The experimental results show that proposed FPSO method is capable of obtaining optimum solution in fewer numbers of iterations.

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References

  1. Wood, A.J., Wollenberg, B.F.: Power Generation, Operation, and Control, 2nd edn. Wiley, New York (1996)

    Google Scholar 

  2. Nicholson, H., Lynn, J.W.: The economic loading of transmission systems. Proceedings of the IEE - Part C: Monographs (IET Journal) 105(8), 407–419 (1958)

    Article  Google Scholar 

  3. Hill, E.F., Stevenson, W.D.: An Improved Method of Determining Incremental Loss Factors from Power System Admittances and Voltages. IEEE Transactions on Power Apparatus and Systems 87(6), 1419–1425 (1968)

    Article  Google Scholar 

  4. Akhtar, M.Y.: New approach for economic load scheduling. Proceedings of the Institution of Electrical Engineers (IET Journal) 116(4), 533–538 (1969)

    Article  Google Scholar 

  5. Fink, L.H., Kwatny, H.G., Mcdonald, J.P.: Economic Dispatch of Generation via Valve-Point Loading. IEEE Transactions on Power Apparatus and Systems 88(6), 805–811 (1969)

    Article  Google Scholar 

  6. Rindt, L.J.: Economic Scheduling of Generation for Planning Studies. IEEE Transactions on Power Apparatus and Systems 88(6), 801–804 (1969)

    Article  Google Scholar 

  7. Sasson, A.M.: Nonlinear Programming Solutions for Load-Flow, Minimum-Loss, and Economic Dispatching Problems. IEEE Transactions on Power Apparatus and Systems 88(4), 399–409 (1969)

    Article  Google Scholar 

  8. Dhar, R.N., Mukherjee, P.K.: Reduced-gradient method for economic dispatch. Proceedings of the Institution of Electrical Engineers 120(5), 608–610 (1973)

    Article  Google Scholar 

  9. Wadhwa, C.L., Nanda, J.: New approach to modified co-ordination equations for economic load dispatch. Proceedings of the Institution of Electrical Engineers 123(9), 923–925 (1976)

    Article  Google Scholar 

  10. Megahed, I., Abou-Taleb, N., Iskandrani, E., Moussa, A.: A modified method for solving the economic dispatching problem. IEEE Transactions on Power Apparatus and Systems PAS-96(1), 124–133 (1977)

    Article  Google Scholar 

  11. Malik, J.N., Rao, G.K.: Economic load-dispatch solution using fast-decoupled load flow. Proceedings of the Institution of Electrical Engineers 125(4), 334–335 (1978)

    Article  Google Scholar 

  12. Aoki, K., Satoh, T.: New Algorithms for Classic Economic Load Dispatch. IEEE Transactions on Power Apparatus and Systems 103(6), 1423–1431 (1984)

    Article  Google Scholar 

  13. Mota-Palomina, R., Quintana, V.H.: A penalty Function-Linear programming method for solving Power System Constrained Economic Operation Problems. IEEE Power Engineering Review, 55 (June 1984)

    Google Scholar 

  14. Guoyu, X., Galiana, F.D., Low, S.: Decoupled Economic Dispatch Using the Participation Factors Load Flow. IEEE Transactions on Power Apparatus and Systems PAS-104(6), 1337–1384 (1985)

    Article  Google Scholar 

  15. Sheble, Gerald, B.: Real-Time Economic Dispatch and Reserve Allocation Using Merit Order Loading and Linear Programming Rules. IEEE Power Engineering Review 9(11), 37 (1989)

    Article  Google Scholar 

  16. Warsono, King, D.J., Ozveren, C.S.: Economic Load Dispatch for a power system with renewable energy using Direct Search Method. In: 42nd International Universities Power Engineering Conference, September 4-6, pp. 1228–1233 (2007)

    Google Scholar 

  17. Fukuyama, Y., Ueki, Y.: An application of artificial neural network to dynamic economic load dispatching. In: Proceedings of the First International Forum on Applications of Neural Networks to Power Systems, July 23-26, pp. 261–265 (1991)

    Google Scholar 

  18. Park, J.H., Kim, Y.S., Eom, I.K., Lee, K.Y.: Economic load dispatch for piecewise quadratic cost function using Hopfield neural network. IEEE Transactions on Power Systems 8(3), 1030–1038 (1993)

    Article  Google Scholar 

  19. Su, C.-T., Chiou, G.-J.: A fast-computation Hopfield method to economic dispatch of power systems. IEEE Transactions on Power Systems 12(4), 1759–1764 (1997)

    Article  Google Scholar 

  20. Yoshikawa, M., Toshida, N., Nakajima, H., Harada, Y., Tsurugai, M., Nakata, Y.: On-line economic load dispatch based on fuel cost dynamics. IEEE Transactions on Power Systems 12(1), 315–320 (1997)

    Article  Google Scholar 

  21. Walters, D.C., Sheble, G.B.: Genetic algorithm solution of economic dispatch with valve point loading. IEEE Transactions on Power Systems 8(3), 1325–1332 (1993)

    Article  Google Scholar 

  22. Bakirtzis, A., Petridis, V., Kazarlis, S.: Genetic algorithm solution to the economic dispatch problem. IEE Proceedings Generation, Transmission and Distribution 141(4), 377–382 (1994)

    Article  Google Scholar 

  23. Wong, K.P., Wong, Y.W.: Genetic and genetic/simulated-annealing approaches to economic dispatch. IEE Proceedings Generation, Transmission and Distribution 141(5), 507–513 (1994)

    Article  Google Scholar 

  24. Park, J.H., Yang, S.-O., Lee, H.-S.: Economic load dispatch using evolutionary algorithms. In: Proceedings International Conference on Intelligent Systems Applications to Power Systems, 28 January-2 February, pp. 441–445 (1996)

    Google Scholar 

  25. Park, J.H., Yang, S.O., Mun, K.J., Lee, H.S., Jung, J.W.: An application of evolutionary computations to economic load dispatch with piecewise quadratic cost functions. In: The 1998 IEEE International Conference on Evolutionary Computation Proceedings, May 4-9, pp. 289–294 (1998)

    Google Scholar 

  26. Kumaran, G., Mouly, V.S.R.K.: Using evolutionary computation to solve the economic load dispatch problem. In: Proceedings of 2001 Congress on the Evolutionary Computation, vol. 1, pp. 296–301 (2001)

    Google Scholar 

  27. Chen, C.H., Yeh, S.N.: Particle Swarm Optimization for Economic Power Dispatch with Valve-Point Effects. In: IEEE PES Transmission and Distribution Conference and Exposition, pp. 1–5 (2006)

    Google Scholar 

  28. Chakrabarti, R., Chattopadhyay, P.K., Basu, M., Panigrahi, C.K.: Particle Swarm Optimization Technique for Dynamic Economic Dispatch. IE(I) Journal, 48–54 (2006)

    Google Scholar 

  29. Bouktir, T., Labdani, R., Slimani, L.: Economic Power Dispatch Of Power System With Pollution Control Using Multiobjective Particle Swarm Optimization. Journal of Pure & Applied Sciences 4(2), 57–77 (2007)

    Google Scholar 

  30. Selvakumar, A.I., Thanushkodi, K.: A New Particle Swarm Optimization Solution to Nonconvex Economic Dispatch Problems. IEEE Transactions on Power Systems 22(1), 42–51 (2007)

    Article  Google Scholar 

  31. Devi, L., Vamsi Krishna, O.: Combined Economic and Emission Dispatch using Evolutionary Algorithms-A Case Study. ARPN Journal of Engineering and Applied Sciences 3(6), 28–35 (2008)

    Google Scholar 

  32. Subramani, S.S., Rajeswari, P.R.: A Modified Particle Swarm Optimization for Economic Dispatch Problems with Non-Smooth Cost Functions. International Journal of Soft Computing 3(4), 326–332 (2008)

    Google Scholar 

  33. Bhattacharya, A., Chattopadhyay, P.K.: A modified Particle Swarm Optimization for solving the non-convex economic dispatch. In: 6th International Conference on Electrical Engineering/Electronics, Computer, Telecommunications and Information Technology (ECTI-CON), vol. 01, pp. 78–81 (2009)

    Google Scholar 

  34. Chandram, K., Subrahmanyam, N., Sydulu, M.: Secant method with PSO for economic dispatch with valve point loading. In: IEEE Power & Energy Society General Meeting, July 26-30, pp. 1–6 (2009)

    Google Scholar 

  35. Chen, P., Zhao, C., Li, J., Liu, Z.: Solving the Economic Dispatch in Power System via a Modified Genetic Particle Swarm Optimization. In: International Joint Conference on Computational Sciences and Optimization, vol. 1, pp. 201–204 (2009)

    Google Scholar 

  36. Sinha, N., Purkayastha, B., Purkayastha, B.S.: Hybrid PSO/ Self-Adaptive Evolutionary Programs For Economic Dispatch With Nonsmooth Cost Function. International Journal of Recent Trends in Engineering 1(3), 195–200 (2009)

    Google Scholar 

  37. Tao, Z., Cai, J.-D.: A New Chaotic PSO with Dynamic Inertia Weight for Economic Dispatch Problem. In: International Conference on Sustainable Power Generation and Supply (SUPERGEN), pp. 1–6 (2009)

    Google Scholar 

  38. Vlachogiannis, J.G., Lee, K.Y.: Economic Load Dispatch—A Comparative Study on Heuristic Optimization Techniques With an Improved Coordinated Aggregation-Based PSO. IEEE Transactions on Power Systems 24(2), 991–1001 (2009)

    Article  Google Scholar 

  39. Zaraki, A., Bin, O.M.F.: Implementing Particle Swarm Optimization to Solve Economic Load Dispatch Problem. In: International Conference of Soft Computing and Pattern Recognition, pp. 60–65 (2009)

    Google Scholar 

  40. Deep, K., Bansal, J.C.: Particle Swarm Optimization for economic dispatch problems with valve-point effects. In: IEEE Fifth International Conference on Bio-Inspired Computing: Theories and Applications (BIC-TA), pp. 1395–1398 (2010)

    Google Scholar 

  41. Meng, K., Wang, H.G., Dong, Z.Y., Wong, K.P.: Quantum-Inspired Particle Swarm Optimization for Valve-Point Economic Load Dispatch. IEEE Transactions on Power Systems 25(1), 215–222 (2010)

    Article  Google Scholar 

  42. Khamsawang, S., Wannakarn, P., Jiriwibhakorn, S.: Hybrid PSO-DE for solving the economic dispatch problem with generator constraints. In: The 2nd International Conference on Computer and Automation Engineering (ICCAE), vol. 5, pp. 135–139 (2010)

    Google Scholar 

  43. Saber, A.Y., Senjyu, T., Tsukasa, M., Naomitsu, U., Toshihisa, F.: Unit commitment by heuristics and absolutely stochastic simulated annealing. IET Generation Transmission Distribution 1(2), 234–243 (2007)

    Article  Google Scholar 

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

    Article  Google Scholar 

  45. Thanushkodi, K., Muthu Vijaya Pandian, S., Dhivyapragash, R.S., Jothikumar, M., Sriramnivas, S., Vinodh, K.: An Efficient Particle Swarm Optimization for Economic Dispatch Problems With Non-smooth cost functions. WSEAS Transactions on Power Systems 3(4), 257–266 (2008)

    Google Scholar 

  46. Arijit, B., Sambarta, D., Panigrahi, B.K., Pandi, V.R., Das, S., Abraham, A., Badr, Y.: Economic Load Dispatch Using a Chemotactic. Differential Evolution Algorithm, 252–260 (2009)

    Google Scholar 

  47. Yadmellat, P., Salehizadeh, S.M.A., Menhaj, M.B.: Fuzzy Parameter Particle Swarm Optimization. In: First International Conference on Intelligent Networks and Intelligent Systems, pp. 93–98 (2008)

    Google Scholar 

  48. Chaturvedi, D.K.: Soft Computing: Applications to electrical engineering problem. Springer, Berlin (2008)

    Google Scholar 

  49. Chaturvedi, D.K.: Modeling and Simulation of Systems Using Matlab@ /Simulink@. CRC Press, New York (2009)

    Google Scholar 

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Authors and Affiliations

  1. Dayalbagh Educational Institute, Agra, India

    Sanjeev Kumar & D. K. Chaturvedi

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  1. Sanjeev Kumar
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  2. D. K. Chaturvedi
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Correspondence to Sanjeev Kumar .

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Editors and Affiliations

  1. , Department of Mathematics, Indian Institute of Technology Roorkee, Uttarakhand, Roorkee, 247667, India

    Kusum Deep

  2. Department of Mathematics and, Computer Science, Liverpool Hope University, Hope Park, Liverpool, L16 9JD, United Kingdom

    Atulya Nagar

  3. , Department of Paper Technology, Indian Institute of Technology Roorkee, Uttarakhand, Roorkee, 247667, India

    Millie Pant

  4. Information Technology and Management, ABV-Indian Institute of, 109, E- Block, Gwalior, 474010, India

    Jagdish Chand Bansal

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Kumar, S., Chaturvedi, D.K. (2012). A Fuzzy Particle Swarm Optimization for Solving the Economic Dispatch Problem. In: Deep, K., Nagar, A., Pant, M., Bansal, J. (eds) Proceedings of the International Conference on Soft Computing for Problem Solving (SocProS 2011) December 20-22, 2011. Advances in Intelligent and Soft Computing, vol 130. Springer, India. https://doi.org/10.1007/978-81-322-0487-9_10

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  • DOI: https://doi.org/10.1007/978-81-322-0487-9_10

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