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COMPARITIVE STUDY OF PARTICLE SWARM OPTIMISATION & GREY WOLF OPTIMIZATION IN ECONOMIC LOAD DISPATCH PROBLEM
1.
International Research Journal
of Engineering and Technology (IRJET) e-ISSN: 2395-0056 Volume: 09 Issue: 10 | Oct 2022 www.irjet.net p-ISSN: 2395-0072 © 2022, IRJET | Impact Factor value: 7.529 | ISO 9001:2008 Certified Journal | Page 1135 COMPARITIVE STUDY OF PARTICLE SWARM OPTIMISATION & GREY WOLF OPTIMIZATION IN ECONOMIC LOAD DISPATCH PROBLEM Someya Sharma1, Dr. M. K. Bhaskar2, Manish Parihar3, Vinay Hans4 1ME Scholar, Electrical Department, MBM Engineering College, Jodhpur, INDIA 2Professor, Electrical Department, MBM Engineering College, Jodhpur, INDIA 3,4Ph.D Scholar, Electrical Department, MBM Engineering College, Jodhpur, INDIA ---------------------------------------------------------------------***--------------------------------------------------------------------- Abstract - In present scenario, the scarcity of energy resources, the increase in electricity production costs and the concern for the environment requires optimal economic transmission. In fact, the distance between the power plant and the load is not equal and there is no similar fuel cost function. Therefore, the load must be distributed between the different power plants in a way that results in the lowest energy production costs, in order to provide cheaper electricity. The current economic shipping problem (ED) has a very non-linear objective function and hasstrictsubstitution and inequality constraints. Use of Particle Swarm Optimization (PSO) and GWO to distribute active power between power plants that meet system requirements and minimize the cost of electricity generation. The accuracy and speed of convergence of these methods is analyzed. The use of PSO and GWO has solved the economic burden distribution problem in electric power bus systems. PSO and GWO are implemented in 14bus and 30bus systems. Key Words: Economic Load Dispatch, PSO, Power Systems, Optimization Techniques, Grey wolf optimization GWO 1. INTRODUCTION In the conventional methods, it is difficult to solve the optimal economic problem if the load changed. It needs to compute the economic load dispatch each time which uses a long time in each of computation loops. It is a computational process where the total required generation is distribution among the generation units in operation, by minimizing the selected cost criterion, and subjects it to load and operational constraints as well. For an interconnected system,itisnecessarytominimizethe expenses. The economic load dispatch is used to define the production level of each plant, so that the total cost of generation and transmission is minimum for a prescribed schedule of load. 2. SIMULATED RESULTS The objective of economic load dispatch is to minimize the overall cost of generation. For solving this well-known non- traditional PSO optimization is chosen, and 14 bus and 30bus IEEE test systems are taken and simulated results are compared with Grey wolf optimization GWO. 1.1 FUEL COST COEFFICIENT 1.2 EMISSION COEFFICIENT 1.2 COMPARISON BETWEEN PSO AND GWO FOR 14 BUS SYSTEMS Table -1: Comparison between PSO AND GWO for 14 bus system ALGORITHM PSO 14 BUS SYSTEM GWO 14 BUS SYSTEM Fuel Cost (rs/hr.) 692.33 690.45 Emission (kg/hr) 275.4733 270.5423 Generator Power G1 177.4 175.1 G2 32 35 G3 20.7 20.6 G4 15 16.25
2.
International Research Journal
of Engineering and Technology (IRJET) e-ISSN: 2395-0056 Volume: 09 Issue: 10 | Oct 2022 www.irjet.net p-ISSN: 2395-0072 © 2022, IRJET | Impact Factor value: 7.529 | ISO 9001:2008 Certified Journal | Page 1136 G5 14 11.79 VOLTAGE AT BUS 14 BUS SYSTEM 14 BUS SYSTEM b1 1.06 1.06 b2 1.043 1.041 b3 1.23 1.023 b4 1.01 1.012 b5 1.01 1.01 b6 1.07 1.071 b7 1.02 1.021 b8 1.01 1.01 b9 1.047 1.048 b10 1.064 1.065 b11 1.082 1.082 b12 1.06 1.061 b13 1.071 1.071 b14 1.0512 1.0516 Generator Cost 700 700 1.2 COMPARISON BETWEEN PSO AND GWO FOR 30 BUS SYSTEMS Table -2: Comparison between PSO AND GWO for 30bus system Algorithm PSO 30 BUS SYSTEM GWO 30 BUS SYSTEM Fuel Cost (rs/hr.) 775.11 756.0183 Emission (kg/hr) 344.1790 343.0071 Generator Power G1 200 200 G2 21.046 20.029 G3 19.24 15.032 G4 13.62 10.42 G5 10.35 10.03 G6 12 12 VOLTAGE AT BUS 30 BUS SYSTEM 30 BUS SYSTEM b1 1.06 1.06 b2 1.04 1.04 b3 1.025 1.024 b4 1.0167 1.0163 b5 1.01 1.1 b6 1.0147 1.0143 b7 1.005 1.004 b8 1.01 1.01 b9 1.0529 1.0523 b10 1.046 1.043 b11 1.082 1.082 b12 1.059 1.0599 b13 1.071 1.071 b14 1.045 1.044 b15 1.04 1.03 b16 1.0471 1.046 b17 1.041 1.040 b18 1.03 1.02 b19 1.027 1.02 b20 1.0316 1.0311 b21 1.034 1.033 b22 1.035 1.034 b23 1.0293 1.0294 b24 1.023 1.023 b25 1.02 1.01 b26 1.0024 1.0022 b27 1.026 1.026 b28 1.012 1.012 b29 1.0066 1.0065 b30 0.9952 0.9951 Transmission Loss 12.90 12.83 Generator Cost 824 810 1.3 IEEE 14 BUS System Graphs For PSO and GWO Fig.1(a ) : PSO fuel cost and emission
3.
International Research Journal
of Engineering and Technology (IRJET) e-ISSN: 2395-0056 Volume: 09 Issue: 10 | Oct 2022 www.irjet.net p-ISSN: 2395-0072 © 2022, IRJET | Impact Factor value: 7.529 | ISO 9001:2008 Certified Journal | Page 1137 Fig.1(b) : GWO fuel cost and emission Fig.2(a) : PSO Generator power Fig.2(b) : GWO Generator power Fig.3(a) : PSO Voltage at each bus Fig.3(b) : GWO Voltage at each bus Fig.4(a) : PSO Transmission loss
4.
International Research Journal
of Engineering and Technology (IRJET) e-ISSN: 2395-0056 Volume: 09 Issue: 10 | Oct 2022 www.irjet.net p-ISSN: 2395-0072 © 2022, IRJET | Impact Factor value: 7.529 | ISO 9001:2008 Certified Journal | Page 1138 Fig.4(b) : GWO Transmission loss Fig.5(a) : PSO Generator cost Fig.5(b) : GWO Generator cost 1.4 IEEE 30 BUS SYSTEM GRAPHS FOR PSO AND GWO Fig.6(a) : IEEE30-PSO Fuel cost and Emission Fig.6(b) : IEEE30-GWO Fuel cost and Emission Fig.7(a) : IEEE30-PSO Generator Power
5.
International Research Journal
of Engineering and Technology (IRJET) e-ISSN: 2395-0056 Volume: 09 Issue: 10 | Oct 2022 www.irjet.net p-ISSN: 2395-0072 © 2022, IRJET | Impact Factor value: 7.529 | ISO 9001:2008 Certified Journal | Page 1139 Fig.7(b) : IEEE30-PSO Generator Power Fig.8(a) : IEEE30-PSO Voltage at Each Bus Fig.8(b) : IEEE30-GWO Voltage at Each Bus Fig.9(a) : IEEE30-PSO Transmission loss Fig.9(b) : IEEE30-GWO Transmission loss Fig.10(a) : IEEE30-PSO Generator cost
6.
International Research Journal
of Engineering and Technology (IRJET) e-ISSN: 2395-0056 Volume: 09 Issue: 10 | Oct 2022 www.irjet.net p-ISSN: 2395-0072 © 2022, IRJET | Impact Factor value: 7.529 | ISO 9001:2008 Certified Journal | Page 1140 Fig.10(b) : IEEE30-PSO Generator cost 3. CONCLUSION This work adopts the best meta-heuristic optimization techniques to solve the problem of balance between economy and emissions. The results are betterthanPSOs. As the complexity of the system increases, the integration progresses to improvement. Therefore, the solution forhigh -end systems can be obtained in a shorter time compared to conventional methods. REFERENCES [1] Bo Li and Jingwen Wang, “Economic Dispatch Methods for Smart Grid” School of Automation Engineering, Northeast Electric Power University, Jilin, China 07 December 2021 [2] Widi Arbovo, “ Comparison Study on economic load dispatch using meta heuristicalgorithm” Gaziuniversity journal of science· March 2022 [3] Jun Du, Zongnan Zhang, Menghan Li and Kongge Zhu, “Optimal scheduling of integrated energy system based on improved grey wolf optimization algorithm” School of Energy and Power, Jiangsu University 02 May 2022 [4] Farshad resaei,hamid reza safavi, and Mohammedazmi “An Enhanced Grey Wolf Optimizer with a Velocity- Aided Global Search Mechanism ” 22 Jan 2022 [5] Sobia Pervaiz, Zia Ul-Qayyum,Waqas Haider Bangyal, Liang Gao, and Jamil Ahmad ,“A Systematic Literature Review on Particle Swarm Optimization Techniques for Medical Diseases Detection” 1Department of Computer Science, Abasyn University Islamabad Campus 2021 [6] Tijani muhammed , Adepoju Gafari , Ayoade Morufu a., Afolalu Oladele f., Oladiran Taoeek a. “Economic load dispatch of Nigerian power system considering valve point loading effect through interior point method” Electrical &Electronic Engineering Department,Federal Polytechnic, Ede, Nigeria April 22 [7] Manish Parihar, M.K. Bhaskar "Review of Power System Blackout" International Journal of Research and Innovation in Applied Science -IJRIAS vol.3 issue 6 June 2018, pp.08-13 URL: https://www.rsisinternational.org/journals/ijrias/Digit alLibrary/Vol.3&Issue6/08-13.pdf. [8] Emmanuel Gbenga DADA and Shafi'i Muhammad ABDULHAMID “Application of Grey Wolf Optimization Algorithm:Recent Trends,Issues,andPossibleHorizons” GU J Sci 35(2): 485-504 (2022) 11 May 2021 [9] Seyedali Mirjalili, Seyed Mohammad Mirjalili and Andrew Lewis, “Grey wolf optimizer” Department of Electrical Engineering, Shahid Beheshti University, G.C. 1983963113, Tehran, Iran 2013 Elsevier [10] MoumitaPradha,ProvasKumarRoyandTandra Pal “Grey wolf optimization applied to economic load dispatch problems” Department of Electrical Engineering, Jalpaiguri Government Engineering College, Jalpaiguri, West Bengal, India 22April 2016 [11] Nitish Chopra1, Gourav Kumar and Shivani Mehta “Hybrid GWO-PSO Algorithm for Solving Convex EconomicLoad Dispatch Problem” International Journal of Research in Advent Technology, Vol.4, No.6, June 2016 [12] M.R. AlRashidi, and M.E. El-Hawary, “Survey of Particle Swarm Optimization Applications in Electric Power Systems,” IEEE transaction on evolutionary computation, vol. 13, no. 4, pp.913- 917, august 2009. [13] D. W. Ross and S. Kim, “Dynamic economic dispatch of generation,” IEEE Transaction on power Apparatusand Systems, vol.1, no. 6, pp.22- 28, 1980. [14] K.T. Chaturvedi, M. Pandit, and L. Srivastava, “Self- organizing hierarchical particle Swarmoptimizationfor non-convex economic dispatch,” IEEE Transaction on power systems, pp.1079- 1087, 2008. [15] T. A. A. Victoire and A. E. Jeyakumar, “Reserve constrained dynamic dispatch of units with valve-point effects,” IEEE Transaction on PowerSystems,vol.20,no. 3, pp. 1273– 1282, Aug. 2005. [16] R. Rajabioum, “Cuckoo optimizationalgorithm,“Applied Soft Computing, pp.5508-5518, November 2011. [17] K.T. Chaturvedi, M. Pandit, and L. Srivastava, “Particle swarm optimization with time varying acceleration coefficients for non-convex economic power dispatch”,
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International Research Journal
of Engineering and Technology (IRJET) e-ISSN: 2395-0056 Volume: 09 Issue: 10 | Oct 2022 www.irjet.net p-ISSN: 2395-0072 © 2022, IRJET | Impact Factor value: 7.529 | ISO 9001:2008 Certified Journal | Page 1141 International Journal of Electrical and Power Energy System. pp.249–257, June 2009. [18] B.R. Adarsh, T. Raghunathan, T. Jayabarathi, X.S. Yang, “Economic dispatch using chaotic bat algorithm” Energy, pp. 666- 675, 2016. [19] G. Kumar, R. Singh, “Economic dispatchof powersystem optimization with power generation schedule using evolutionary technique,” International Journal of Advanced Research in Electrical, Electronics and Instrumentation Engineering, vol. 3, Issue 7, pp.10715- 10722, July 2014. [20] Manish Parihar,M.K.Bhaskar,Dharmendra Jain,Digvijay Sarvate, Deepak Bohra."Voltage Stability Analysis of Power System using Power WorldSimulator",Volume5, Issue XI, International Journal for Research in Applied Science and EngineeringTechnology(IJRASET)PageNo: 2508-2515, ISSN : 2321-9653, http://doi.org/10.22214/ijraset.2018.11371. [21] El-Gallad, M. El-Hawary, A. A. Sallam, and A. Kalas, “Swarm intelligence for hybrid cost dispatch problem,” in Proceeding of the Canadian Conference on Electrical and Computer Engineering, vol. 2, pp. 753–757, 2001. [22] X.S. Yang, S.S.S. Hosseini, and A.H. Gandomi, “Firefly algorithm for solving nonconvex economic dispatch problems with valve loading effect,” Applied Soft Computing 2012, pp.1180- 1186. [23] M.H. Sulaiman, Z.N. Zakaria,M.I.Mohd-Rashid,andS.R.A. Rahim, “A new swarm intelligencetechniqueforsolving economic dispatch problem,” in PowerEngineering and Optimization IEEE Conference, pp. 199-202, 2013. [24] J. Sun, V. Palade, X.J. Wu, W. Fang, and Z. Wang, “Solving the power economic dispatch problem with generator constraints by random drift particle swarm optimization,” IEEE Transaction on industrial Informatics, pp.222-232, 2014. [25] T.A.A. Victoire, and A.E. Jeyakumar,“HybridPSO-SQPfor economic dispatch with Valve- point effect,” Electric Power Systems Research, pp.51-59, 2004.60 D. Swagatam, and P.N. Suganthan, “Problem definition and evaluation criteria for CEC 2011 competition on testing evolutionary algorithms on real world optimization problems,” Technical report, Dec 2010.
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