Economic Load Distribution between Thermal Power Plants and Studying the Changes of Parameters

Subject Areas : Electrical Engineering

Mehdi Mahdavian ¹ , Majid Dehghani ² , Mohamad Reza Yousefi ³ , Mahdi Sharifi ⁴

1 - Department of Electrical Engineering, Naein Branch, Islamic Azad University, Naein, Iran
2 - Department of Electrical Engineering, Najafabad Branch, Islamic Azad University, Najafabad, Iran
3 - Smart Microgrid Research Center, Najafabad Branch, Islamic Azad University, Najafabad, Iran
4 - Department of Computer Engineering, Najafabad Branch, Islamic Azad University, Najafabad, Iran

Received: 2022-08-03 Accepted : 2022-08-23 Published : 2022-06-01

Keywords: Optimization, Economical Load Distribution, Lagrange Coefficients, Thermal Plant,

Abstract :

The complexity of communication and the size of different areas of power systems are increasing, and the development of the power system requires the optimal allocation of electric power produced by a large number of system generators. Electric energy production in power systems is one of the most important issues in modern systems, along with minimizing the total production cost of the generator units in the power system. Economic load distribution is a common optimization problem in power systems. In this article, the economic distribution of the load between the production units has been done by limiting the minimum and maximum power range between the generator units. To carry out the economic distribution of the load, the repetition method of the Lagrange coefficient is used. To show the study data, the simulation results for a power system with two production units and taking into account losses and a power system with three production units and without losses are presented. Distinct fuel functions are considered for the units in the study.

References:

[1]   G. Shahgholian, “A brief review on microgrids: Operation, applications, modeling, and control”, International Transactions on Electrical Energy Systems, vol. 31, no. 6, Article Number. e12885, June 2021, doi: 10.1002/2050-7038.12885.

[2]   E. Mohagheghian, G. Shahgholian, B. Fani, “Synchronous generator excitation system controller design using feedback linearization and H-infinity methods”, Signal Processing and Renewable Energy, vol. 5, no. 4, pp. 29-49, Dec. 2021, dor: 20.1001.1.25­887327.2021.5.4.3.8.

[3]   G. Shahgholian, K. Khani, M. Moazzami, "Frequency control in autanamous microgrid in the presence of DFIG based wind turbine", Journal of Intelligent Procedures in Electrical Technology, Vol. 6, No. 23, pp. 3-12, Dec. 2015, dor: 20.1001.1.23223871.13­94.6.2­3.­1.9.

[4]   H. Fayazi, M. Moazzami, B. Fani, G. Shahgholian, "Coordination of protection equipment in synchronous generator-based microgrids with regard to maintaining first swing stability", Journal of Intelligent Procedures in Electrical Technology, vol. 14, no. 53, pp. 1-14, June 2023, dor: 20.1001.1.23223871.1402.14.54.2.8.

[5]   X. Liu, W. Xu, "Economic load dispatch constrained by wind power availability: A here-and-now approach", IEEE Trans. on Sustainable Energy, vol. 1, no. 1, pp. 2-9, April 2010, doi: 10.1109/TSTE.2010.2044817.

[6]   S.S.S. Hosseini, A.H. Gandomi, "Discussion of “Economic Load Dispatch—A comparative study on heuristic optimization techniques with an improved coordinated aggregation-based PSO", IEEE Trans. on Power Systems, vol. 25, no. 1, pp. 590-590, Feb. 2010, doi: 10.1109/TPWRS.2009.2037531.

[7]   M.F. Tabassum, M. Saeed, N.A. Chaudhry, J. Ali, M. Farman, S. Akram, “Evolutionary simplex adaptive Hooke-Jeeves algorithm for economic load dispatch problem considering valve point loading effects”, Ain Shams Engineering Journal, vol. 12, no. 1, pp. 1001-1015, March 2021, doi: 10.1016/j.asej.2020.04.006.

[8]   S. Deb, E.H. Houssein, M. Said, D.S. Abdelminaam, "Performance of turbulent flow of water optimization on economic load dispatch problem", IEEE Access, vol. 9, pp. 77882-77893, 2021, doi: 10.1109/ACCESS.­2021.3­083531.

[9]   L. Jebaraj, C. Venkatesan, I. Soubache, C.C.A. Rajan, “Application of differential evolution algorithm in static and dynamic economic or emission dispatch problem: A review”, Renewable and Sustainable Energy Reviews, vol. 77, pp. 1206-1220, Sept. 2017, doi: 10.1016/j.r­ser.2017.03.097.

[10]           C. Chen, L. Qu, M.L. Tseng, L. Li, C.C. Chen, M.K. Lim, “Reducing fuel cost and enhancing the resource utilization rate in energy economic load dispatch problem”, Journal of Cleaner Production, vol. 364, Article Number: 132709, Sept. 2022, doi: 10.1016/j.­jcle­pro.2022.132709.

[11]           M. Said, E.H. Houssein, S. Deb, R.M. Ghoniem, A.G. Elsayed, "Economic load dispatch problem based on search and rescue optimization algorithm", IEEE Access, vol. 10, pp. 47109-47123, 2022, doi: 10.1109/ACCESS.2022.3168653.

[12]           F.X. Rugema, G. Yan, S. Mugemanyi, Q. Jia, S. Zhang, C. Bananeza, "A cauchy-gaussian quantum-behaved bat algorithm applied to solve the economic load dispatch problem", IEEE Access, vol. 9, pp. 3207-3228, 2021, doi: 10.1109/ACCESS.2020.3034730.

[13]           S. Gorji, S. Zamanian, M. Moazzami, “Techno-economic and environmental base approach for optimal energy management of microgrids using crow search algorithm”, Journal of Intelligent Procedures in Electrical Technology, vol. 11, no. 43, pp. 49-68, Oct. 2020, dor: 20.1001.1.2322­3871.­139­9.11.43.4.7.

[14]           L. Fu, H. Ouyang, C. Zhang, S. Li, A.W. Mohamed, “A constrained cooperative adaptive multi-population differential evolutionary algorithm for economic load dispatch problems”, Applied Soft Computing, vol. 121, Article Number: 108719, May 2022, doi: 10.1016/j.asoc.2022.108719.

[15]           M. Lin, Q. Li, F. Wang, D. Chen, "An improved beetle antennae search algorithm and its application on economic load distribution of power system", IEEE Access, vol. 8, pp. 99624-99632, 2020, doi: 10.1109/ACCESS.2020.2997687.

[16]           Y. Jia, Z. Y. Dong, C. Sun and K. Meng, "Cooperation-based distributed economic MPC for economic load dispatch and load frequency control of interconnected power systems", IEEE Trans. on Power Systems, vol. 34, no. 5, pp. 3964-3966, Sept. 2019, doi: 10.1109/TPWRS.2019.2917632.

[17]           B. Dai, F. Wang, Y. Chang, “Multi-objective economic load dispatch method based on data mining technology for large coal-fired power plants”, Control Engineering Practice, vol. 121, Article Number: 105018, April 2022, doi: 10.1016/j.conengprac.2021.105018.

[18]           H. Zein, J. Raharjo, I.R. Mardiyanto, "A method for completing economic load dispatch using the technique of narrowing down area", IEEE Access, vol. 10, pp. 30822-30831, 2022, doi: 10.1109/ACCE­SS.2022.315­8928.

[19]           A. Arastou, P. Ahmadi, M. Karrari, "Modeling and parameter estimation of a steam power plant including condenser back-pressure uncertainty using operational data", IEEE Systems Journal, vol. 16, no. 2, pp. 2979-2988, June 2022, doi: 10.1109/JSYST.202­1.3122228.

[20]           G. Shahgholian, S. Yazdekhasti, P. Shafaghi, "Dynamic analysis and stability of the load frequency control in two area power system with steam turbine", Proceeding of the IEEE/ICCEE, pp. 40-46, Dubai , Dec. 2009, doi: 10.1109/ICCEE.2009.95.

[21]           A. Shoulaie, M. Bayati-Poudeh, G. Shahgholian, “Damping torsional torques in turbine-generator shaft by novel PSS based on genetic algorithm and fuzzy logic”, Journal of Intelligent Procedures in Electrical Technology, vol. 1, no. 2, pp. 3-10, Sept. 2010, dor: 20.1001.1.23223871.1389.1.2.1.2.

[22]           A. Basem, M. Moawed, M.H. Abbood, W.M. El-Maghlany, “The design of a hybrid parabolic solar dish–steam power plant: An experimental study”,Energy Reports,vol. 8, pp.1949-1965,Nov. 2022,doi: 10.1016/j.egyr.2021.11.236.

[23]           O.J. Khaleel, F.B. Ismail, T.K. Ibrahim, S.H.A. Hassan, “Energy and exergy analysis of the steam power plants: A comprehensive review on the classification, development, improvements, and configurations”, Ain Shams Engineering Journal, vol. 13, no. 3, Article Number: 101640, May 2022, doi: 10.1016/j.asej.20­21.11.009.

[24]           J. Dragosavac, Ž. Janda, J.V. Milanovic, "PLC-based model of reactive power flow in steam power plant for pre-commissioning validation testing of coordinated Q-V controller", IEEE Trans. on Power Systems, vol. 26, no. 4, pp. 2256-2263, Nov. 2011, doi: 10.1109/TPWRS.2011.2127498.

[25]           A. Srivastava, D.K. Das, "A new aggrandized class topper optimization algorithm to solve economic load dispatch problem in a power system", IEEE Trans. on Cybernetics, vol. 52, no. 6, pp. 4187-4197, June 2022, doi: 10.1109/TCYB.2020.3024607.