Solving the Combined Heat and Power Economic Dispatch Problem Considering Power Losses by Applying the Snake Optimization

Document Type : Original Article

Authors

1 Electrical Engineering Department, Razi University, Kermanshah, Iran

2 Electrical Engineering Department, Engineering Faculty, Razi University, Kermanshah, Iran

10.22109/jemt.2023.405333.1457

Abstract

Abstract: The combined heat and power economic dispatch (CHPED) problem seeks to find the optimal point for power and heat generations to minimize the fuel cost considering the problem constraints. In this paper, the snake optimization (SO) algorithm is used to solve the CHPED problem, considering power losses. Two case studies including 5-, and 48-unit test systems have been simulated in MATLAB software. The simulation results of test case 1 verify that the SO reduces the minimum operation costs by at least 0.774%, 0.367%, 0.1437%, 0.143%, 0.1143%, and 0.0215%, compared to the best results of genetic algorithm (GA), harmony search (HS), classic particle swarm optimization (CPSO), imperialist competitive algorithm (ICA), group search optimizer (GSO), and imperialist competitive Harris hawks optimization (ICHHO) algorithms, for load profile 1. It also reduces the minimum operation costs by at least 1.705%, 1.361%, 0.1293%, 1.109%, 0.0957%, and 0.0756%, in compassion to GA, HS, CPSO, ICA, GSO, and ICHHO algorithms for load profile 2. Furthermore, for load profile 3, SO decreases the minimum operation costs by at least 0.5948%, 0.3716%, 0.122%, 0.1206%, and 0.0761% compared to GA, HS, CPSO, ICA, and GSO algorithms. In 48-unit test system, considering power losses, prohibited operating zones, and the valve point loading effect, the reduction of operating costs using the SO algorithm compared to CPSO, gravitational search algorithm (GSA), GA, hybrid time varying acceleration coefficients-GSA-PSO (TVAC-GSA-PSO), group search optimizer (GWO), society-based gray wolf Optimizer (SGWO), and ICHHO algorithms is 1.943%, 1.288%, 0.463%, 0.659%, 0.426%, and 0.197%, respectively.

Keywords

Main Subjects


1. A. J. Wood, B. F. Wollenberg, and G. B. Sheblé, Power generation, operation, and control. John Wiley & Sons, 2013.
2. C. Liu, M. Shahidehpour, Z. Li, and M. Fotuhi-Firuzabad, “Component and mode models for the short-term scheduling of combined-cycle units,” IEEE Transactions on Power systems, vol. 24, no. 2, pp. 976–990, 2009.
3. S. Karki, M. Kulkarni, M. D. Mann, and H. Salehfar, “Efficiency improvements through combined heat and power for on-site distributed generation technologies,” Cogeneration and distributed generation journal, vol. 22, no. 3, pp. 19–34, 2007.
4. M. Alipour, B. Mohammadi-Ivatloo, and K. Zare, “Stochastic scheduling of renewable and chp-based microgrids,” IEEE Transactions on Industrial Informatics, vol. 11, no. 5, pp. 1049–1058, 2015.
5. A. Vasebi, M. Fesanghary, and S. Bathaee, “Combined heat and power economic dispatch by harmony search algorithm,” International Journal of Electrical Power & Energy Systems, vol. 29, no. 10, pp. 713–719, 2007.
6. A. Sundaram, “Combined heat and power economic emission dispatch using hybrid nsga ii-mopso algorithm incorporating an effective constraint handling mechanism,” IEEE Access, vol. 8, pp. 13748–13768, 2020.
7. J. Keirstead, N. Samsatli, N. Shah, and C. Weber, “The impact of chp (combined heat and power) planning restrictions on the efficiency of urban energy systems,” Energy, vol. 41, no. 1, pp. 93–103, 2012.
8. R. Danaraj and F. Gajendran, “Quadratic programming solution to emission and economic dispatch problems,” Journal-Institution of Engineers India part el electrical engineering division, vol. 86, no. P, p. 129, 2005.
9. C.-L. Chen and S.-C. Wang, “Branch-and-bound scheduling for thermal generating units,” IEEE transactions on energy conversion, vol. 8, no. 2, pp. 184–189, 1993.
10. T. Guo, M. I. Henwood, and M. Van Ooijen, “An algorithm for combined heat and power economic dispatch,” IEEE Transactions on Power Systems, vol. 11, no. 4, pp. 1778–1784, 1996.
11. Y. Song, C. Chou, and T. Stonham, “Combined heat and power economic dispatch by improved ant colony search algorithm,” Electric Power Systems Research, vol. 52, no. 2, pp. 115–121, 1999.
12. K. P. Wong and C. Algie, “Evolutionary programming approach for combined heat and power dispatch,” Electric Power Systems Research, vol. 61, no. 3, pp. 227–232, 2002.
13. A. Haghrah, M. Nazari-Heris, and B. Mohammadi-Ivatloo, “Solving combined heat and power economic dispatch problem using real coded genetic algorithm with improved mühlenbein mutation,” Applied Thermal Engineering, vol. 99, pp. 465–475, 2016.
14. L. Wang and C. Singh, “Stochastic combined heat and power dispatch based on multi-objective particle swarm optimization,” in 2006 IEEE power engineering society general meeting, pp. 8–pp, IEEE, 2006.
15. D. S. Zahri, A.a.M., “ntelligent algorithm for combined heat and power economic dispach,” in 2nd International Conference on New Research Findings of Science, Engineering and Technology, Tehran, Iran., 2017.
16. M. Basu, “Bee colony optimization for combined heat and power economic dispatch,” Expert Systems with Applications, vol. 38, no. 11, pp. 13527–13531, 2011.
17. H. Nourianfar and H. Abdi, “The application of imperialist competitive algorithm to the combined heat and power economic dispatch problem,” Journal of Energy Management and Technology, vol. 2, no. 4, pp. 59–
69, 2018.
18. T. T. Nguyen, D. N. Vo, and B. H. Dinh, “Cuckoo search algorithm for combined heat and power economic dispatch,” International Journal of Electrical Power & Energy Systems, vol. 81, pp. 204–214, 2016.
19. P. K. Roy, C. Paul, and S. Sultana, “Oppositional teaching learning based optimization approach for combined heat and power dispatch,” International Journal of Electrical Power & Energy Systems, vol. 57, pp. 392–403, 2014.
20. S. D. Beigvand, H. Abdi, and M. La Scala, “Combined heat and power economic dispatch problem using gravitational search algorithm,” Electric Power Systems Research, vol. 133, pp. 160–172, 2016.
21. N. Ghorbani, “Combined heat and power economic dispatch using exchange market algorithm,” International Journal of Electrical Power & Energy Systems, vol. 82, pp. 58–66, 2016.
22. H. Nourianfar and H. Abdi, “Economic emission dispatch considering electric vehicles and wind power using enhanced multi-objective exchange market algorithm,” Journal of Cleaner Production, p. 137805, 2023.
23. A. Haghrah, M. Nekoui, M. Nazari-Heris, and B. Mohammadi-Ivatloo, “An improved real-coded genetic algorithm with random walk based mutation for solving combined heat and power economic dispatch,” Journal of Ambient Intelligence and Humanized Computing, vol. 12, pp. 8561–8584, 2021.
24. M. Nasir, A. Sadollah, ˙I. B. Aydilek, A. L. Ara, and S. A. Nabavi-Niaki, “A combination of fa and srpso algorithm for combined heat and power economic dispatch,” Applied Soft Computing, vol. 102, p. 107088, 2021.
25. M. Khalili, J. Nikoukar, and M. Sedighizadeh, “Combined heat and power economic dispatch using improved shuffled frog leaping algorithm,” Journal of Advances in Computer Research, vol. 12, no. 1, pp. 1–11, 2021.
26. D. Liu, Z. Hu, Q. Su, and M. Liu, “A niching differential evolution algorithm for the large-scale combined heat and power economic dispatch problem,” Applied Soft Computing, vol. 113, p. 108017, 2021.
27. S. Hosseini-Hemati, S. D. Beigvand, H. Abdi, and A. Rastgou, “Societybased grey wolf optimizer for large scale combined heat and power economic dispatch problem considering power losses,” Applied Soft Computing, vol. 117, p. 108351, 2022.
28. F. A. Hashim and A. G. Hussien, “Snake optimizer: A novel metaheuristic optimization algorithm,” Knowledge-Based Systems, vol. 242, p. 108320, 2022.
29. S. D. Beigvand, H. Abdi, and M. La Scala, “Hybrid gravitational search algorithm-particle swarm optimization with time varying acceleration coefficients for large scale chped problem,” Energy, vol. 126, pp. 841– 853, 2017.
30. M. Basu, “Modified particle swarm optimization for non-smooth nonconvex combined heat and power economic dispatch,” Electric Power Components and Systems, vol. 43, no. 19, pp. 2146–2155, 2015.
31. K. Kazda and X. Li, “A critical review of the modeling and optimization of combined heat and power dispatch,” Processes, vol. 8, no. 4, p. 441, 2020.
32. M. T. Hagh, S. Teimourzadeh, M. Alipour, and P. Aliasghary, “Improved group search optimization method for solving chped in large scale power systems,” Energy Conversion and Management, vol. 80, pp. 446–456, 2014.
33. B. Mohammadi-Ivatloo, M. Moradi-Dalvand, and A. Rabiee, “Combined heat and power economic dispatch problem solution using particle swarm optimization with time varying acceleration coefficients,” Electric Power Systems Research, vol. 95, pp. 9–18, 2013.
34. E. Davoodi and E. Babaei, “A modified imperialist competitive algorithm for combined heat and power dispatch,” Computational Intelligence in Electrical Engineering, vol. 10, no. 1, pp. 1–18, 2019.
35. E. Davoodi, K. Zare, and E. Babaei, “A gso-based algorithm for combined heat and power dispatch problem with modified scrounger and ranger operators,” Applied Thermal Engineering, vol. 120, pp. 36–48, 2017.
36. A. Nazari and H. Abdi, “Solving the combined heat and power economic dispatch problem in multi-zone systems by applying the imperialist competitive harris hawks optimization,” Soft Computing, vol. 26, no. 22, pp. 12461–12479, 2022.
37. P. Hajiamosha, A. Rastgou, H. Abdi, and S. Bahramara, “A piecewise linearization approach to non-convex and non-smooth combined heat and power economic dispatch,” Journal of Operation and Automation in Power Engineering, vol. 10, no. 1, pp. 40–53, 2022.
38. D. Zou, S. Li, X. Kong, H. Ouyang, and Z. Li, “Solving the combined heat and power economic dispatch problems by an improved genetic algorithm and a new constraint handling strategy,” Applied energy, vol. 237, pp. 646–670, 2019.
39. A. Nazari and H. Abdi, “Solving the combined heat and power economic dispatch problem in different scale systems using the imperialist competitive harris hawks optimization algorithm,” Biomimetics, vol. 8, no. 8, p. 587, 2023