Back
 EPE  Vol.2 No.2 , May 2010
Sequential Approach with Matrix Framework for Various Types of Economic Thermal Power Dispatch Problems
Abstract: This paper presents a sequential approach with matrix framework for solving various kinds of economic dispatch problems. The objective of the economic dispatch problems of electrical power generation is to schedule the committed generating units output so as to meet the required load demand while satisfying the system equality and inequality constraints. This is a maiden approach developed to obtain the optimal dispatches of generating units for all possible load demands of power system in a single execution. The feasibility of the proposed method is demonstrated by solving economic load dispatch problem, combined economic and emission dispatch problem, multiarea economic dispatch problem and economic dispatch problem with multiple fuel options. The proposed methodology is tested with different scale of power systems. The generating unit operational constraints are also considered. The simulation results obtained by proposed methodology for various economic dispatch problems are compared with previous literatures in terms of solution quality. Numerical simulation results indicate an improvement in total cost saving and hence the superiority of the proposed method is also revealed for economic dispatch problems.
Cite this paper: nullS. Subramanian and G. Sivarajan, "Sequential Approach with Matrix Framework for Various Types of Economic Thermal Power Dispatch Problems," Energy and Power Engineering, Vol. 2 No. 2, 2010, pp. 111-121. doi: 10.4236/epe.2010.22016.
References

[1]   A. J. Woods and B. F. Wollenberg, “Power Generation, Operation and Control,” John Wiley & Sons, New York, 1996.

[2]   O. I. Elgerd, “Electric Energy Systems Theory, An introduction,” 2nd edition, McGraw Hill Book Company, New York, 1982.

[3]   R. B. Adler and R. Fischal, “Security Constrained Economic Dispatch with Participation Factors Based on Worst Case Bus Load Violations,” IEEE Transactions on Power Apparatus and Systems, Vol. 96, 1977, pp. 347- 356.

[4]   R. T. Bui and S. Ghaderpanah, “Real Rescheduling and Security Assessment,” IEEE Transactions on Power Apparatus and Systems, Vol. PAS-101, No. 8, 1982, pp. 2906-2915.

[5]   K. P. Wong and C. C. Wang, “Simulated Annealing Based Economic Dispatch Algorithm,” IEE Proceedings in Generation, Transmission and Distribution, Vol. 140, No. 6, 1993, pp. 509-515.

[6]   S. O. Orero and M. R. Erving, “Economic Dispatch of Generators with Prohibited Operating Zones: A Genetic Algorithm Approach,” IEE Proceedings in Generation, Transmission and Distribution, Vol. 143, No. 6, 1996, pp. 529-534.

[7]   M. Djukanovic, M. Calovic, B. Milosevic and D. J. Sobejic, “Neural-Net Based Real Time Economic Dispatch for Thermal Power Plants,” IEEE Transactions on Energy Conversion, Vol. 11, No. 4, 1996, pp. 755-761.

[8]   R. Naresh, J. Dubey and J. Sharma, “Two-Phase Neural Network Based Modelling Framework of Constrained Economic Load Dispatch,” IEE Proceedings in Generation, Transmission and Distribution, Vol. 151, No. 3, 2004, pp. 373-378.

[9]   Z. L. Gaing, “Particle Swarm Optimization to Solving the Economic Dispatch Considering the Generator Constr- aints,” IEEE Transactions on Power Systems, Vol. 18, No. 3, 2003, pp. 1187-1195.

[10]   J.-B. Park, K.-S. Lee, J.-R. Shin and K. Y. Lee, “A Particle Swarm Optimization for Economic Dispatch with Non-smooth Cost Function,” IEEE Transactions on Power Systems, Vol. 20, No. 1, 2005, pp. 34-42.

[11]   A. Pereira Neto, C. Unsihuay and O. R. Saveedra, “Efficient Evolutionary Strategy Optimization Procedure to Solve the Non-convex Economic Dispatch Problem with Generator Constraints,” IEE Proceedings on Generation Transmission and Distribution, Vol. 152, No. 5, 2005, pp. 653-660.

[12]   W.-M. Lin, H.-J. Gow and M.-T. Tsay, “A Partition Approach Algorithm for Non-convex Economic Dispatch,” Electric Power and Energy Systems, Vol. 29, No. 5, 2007, pp. 432-438.

[13]   A. Y. Abdelaziz, S. F. Mekhamer, M. A. L. Badr and M. Z. Kamz, “Economic Dispatch Using an Enhanced Hopfield Neural Network,” Electric Power Components and Systems, Vol. 36, No. 7, 2008, pp. 719-732.

[14]   N. Noman and H. Iba, “Differential Evolution for Economic Dispatch Problems,” Electric Power Systems Research, Vol. 78, No. 8, 2008, pp. 1322-1331.

[15]   J.-P. Chiou, “Variable Scaling Hybrid Differential Evolution for Large Scale Economic Dispatch Problems,” Electric Power Systems Research, Vol. 77, No. 3-4, 2007, pp. 212-218.

[16]   J. Cai, X. Ma, L. Li, Y. Yang, H. Peng and X. Wang, “Chaotic Ant Swarm Optimization to Economic Dispatch,” Electric Power Systems Research, Vol. 77, No. 10, 2007, pp. 1373-1380.

[17]   A. Theerthamalai and S. Maheswarapu, “Directional Search Genetic Algorithm Applications to Economic Dispatch of Thermal Units,” International Journal of Computational Methods in Engineering Science and Mechanics, Vol. 9, No. 4, 2008, pp. 211-216.

[18]   C. C. Kuo, “A Novel Coding Scheme for Practical Economic Dispatch by Modified Particle Swarm Approach,” IEEE Transactions on Power Systems, Vol. 23, No. 4, 2008, pp. 1825-1835.

[19]   B. K. Panigrahi and V. R. Pandi, “Bacterial Foraging Optimization: Nelder-Mead Hybrid Algorithm for Economic Load Dispatch,” IET Generation, Transmission and Distribution, Vol. 2, No. 4, 2008, pp. 556-565.

[20]   “Potential impacts of clean air regulations on system operations,” IEEE Current Operating Problems Working Group, Vol. 10, 1998, pp. 647-653.

[21]   A. A. El-keib, H. Ma and J. L. Hart, “Environmentally Constrained Economic Dispatch Using a Lagrangian Relaxation Method,” IEEE Transactions on Power Systems, Vol. 9, No. 4, 1994, pp. 1723-1729.

[22]   M. W. Lamont and E. V. Qbessis, “Emission Dispatch Models and Algorithms for the 1990’s,” IEEE Transactions on Power Systems, Vol. 10, No. 2, 1995, pp. 941- 947.

[23]   K. Srikrishna and C. Palanichamy, “Economic Thermal Power Dispatch with Emission Constraint,” Journal of Institution of Engineers (India), Vol. 72, 1991 pp. 11-18.

[24]   Y. H. Song, G. S. Wang, P. Y. Wang and A. T. Johns, “Environmental/Economic Dispatch Using Fuzzy Logic Controlled Genetic Algorithms,” IEE Proceedings on Generation, Transmission and Distribution, Vol. 144, No. 4, 1997, pp. 377 -382.

[25]   G. Singh, S. C. Srivastava, P. K. Kalra and D. M. Vinoth Kumar, “Fast Approach to Artificial Neural Network Training and its Application to Economic Load Dispatch,” Electrical Machines and Power Systems, Vol. 23, No. 1, 1995, pp. 13-24.

[26]   C. T. Su and G. J. Chiou, “A Fast Computation Hopfield Method to Economic Load Dispatch of Power Systems,” IEEE Transactions on Power Systems, Vol. 12, No. 4, 1997, pp. 1759-1764.

[27]   C. M. Haung, H. T. Yang and C. L. Huang, “Bi-objective Power Dispatch Using Fuzzy Satisfaction-Maximizing Decision Approach,” IEEE Transactions on Power Systems, Vol. 12, No. 4, 1997, pp. 1715-1721.

[28]   P. K. Hota, R. Chakrabarti and P. K. Chattopadhyay, “Economic Emission Load Dispatch through an Interactive Fuzzy Satisfying Method,” Electric Power Systems Research, Vol. 54, No. 3, 2000, pp. 151-157.

[29]   K. P. Wong and J. Yuryevich, “Evolutionary Programming Based Algorithm for Environmentally Constrained Economic Dispatch,” IEEE Transactions on Power Systems, Vol. 13, No. 2, 1998, pp. 301-309.

[30]   P. Venkatesh, R. Gnanadass and N. P. Padhy, “Comparison and Application of Evolutionary Programming Techniques to Combined Economic Emission Dispatch with Line Flow Constraints,” IEEE Transactions on Power Systems, Vol. 18, No. 2, 2003, pp. 688-697.

[31]   R. M. S. Danaraj and F. Gajendran, “Quadratic Programming Solution to Emission and Economic Dispatch Problems,” Journal of Institution of Engineers (India), Vol. 86, 2005, pp. 129-132.

[32]   S. Muralidharan, K. Srikrishna and S. Subramanian, “Emi- ssion Constrained Economic Dispatch—A New Recursive Approach,” Electric Power Components and Systems, Vol. 34, No. 3, 2006, pp. 343-353.

[33]   L. F. Wang and C. Singh, “Environmental/Economic Power Dispatch Using a Fuzzified Multi-objective Particle Swarm Optimization Algorithm,” Electric Power Systems Research, Vol. 77, No. 12, 2007, pp. 1654-1664.

[34]   J. S. AL-Sumait, J. K. Sykulski and A. K. L-Othman, “Solution of Different Types of Economic Dispatch Problems Using Pattern Search Method,” Electric Power Components and Systems, Vol. 36, No.3, 2008, pp. 250- 265.

[35]   R. Balamurugan and S. Subramanian, “A Simplified Recursive Approach to Combined Economic Emission Dispatch,” Electric Power Components and Systems, Vol. 36, No. 1, 2008, pp. 17-27.

[36]   C. Palanichamy and N. Sundar Babu, “Analytical Solution for Combined Economic and Emissions Dispatch,” Electric Power Systems Research, Vol. 78, No. 7, 2008, pp. 1129-1137.

[37]   K. T. Chaturvedi, M. Pandit and L. Srivstava, “Modified Neo-fuzzy Neuron Based Approach for Economic and Environmental Optimal Power Dispatch,” Applied Soft Computing, Vol. 8, No. 4, 2008, pp. 1428-1438.

[38]   S. Agrawal, B. K. Panigrahi and M. K. Tiwari, “Multi-objective Particle Swarm Algorithm with Fuzzy Clustering for Electrical Power Dispatch,” IEEE Transactions on Evolutionary Computation, Vol. 12, No. 15, 2008, pp. 529-541.

[39]   R. Geetha, R. Bhuvaneswari and S. Subramanian, “Artificial Immune System Based Combined Economic and Emission Dispatch,” Proceedings of IEEE TENCON, IEEE Region 10 conference, Hyderabad, India. 2008.

[40]   X. B. Li, “Study of Multi-objective Optimization and Multi-attribute Decision-making for Economic and Environmental Power Dispatch,” Electric Power Systems Research, Vol. 79, No. 5, 2009, pp. 789-795.

[41]   C. L. Chen and N. Chen, “Direct Search Method for Solving Economic Dispatch Problem Considering Transmission Capacity Constraints,” IEEE Transactions on Power Systems, Vol. 16, No. 4, 2001, pp. 764-769.

[42]   T. Yalcinoz and M. J. Short, “Neural Networks Approach for Solving Economic Dispatch Problem with Transmission Capacity Constraints,” IEEE Transactions on Power Systems, Vol. 13, No. 2, 1998, pp. 307-313.

[43]   C. E. Lin and G. L. Viviani, “Hierarchical Economic Dispatch for Piecewise Quadratic Cost Functions,” IEEE Transactions on Power Apparatus and Systems, Vol. PAS -103, No. 6, 1984, pp. 1170-1175.

[44]   J. H. Park, Y. S. Kim, I. K. Eom and K. Y. Lee, “Economic Load Dispatch for Piecewise Quadratic Cost Function using Hopfield Neural Network,” IEEE Transactions on Power Systems, Vol. 8, No. 3, 1993, pp. 1030-1038.

[45]   K. Y. Lee, A. S. Yome and J. H. Park, “Adaptive Hopfield Neural Networks for Economic Load Dispatch,” IEEE Transactions on Power Systems, Vol. 13, No. 2, 1998, pp. 519-526.

[46]   S. Baskar, P. Subbaraj and M. V. C. Rao, “Hybrid Genetic Algorithm Solution to Economic Dispatch Problem with Multiple Fuel Options,” Journal of Institution of Engineers (India), Vol. 82, 2001, pp. 177-183.

[47]   T. Jayabarathi, K. Jayaprakash, D. N. Jayakumar and T. Raghunathan, “Evolutionary Programming Techniques for Different Kinds of Economic Dispatch Problems,” Electric Power Systems Research, Vol. 73, No. 2, 2005, pp. 169-176.

[48]   D. N. Jeyakumar, T. Jayabharathi and T. Raghunathan, “Particle Swarm Optimization for Various Types ff Economic Dispatch Problems,” Electric Power and Energy Systems, Vol. 28, No. 1, 2006, pp. 36-42.

 
 
Top