Optimal Planning of Conductors and Capacitors in a Distribution Network Using a Hybrid Evolutionary Algorithm
الموضوعات : journal of Artificial Intelligence in Electrical Engineering
1 - Department of Electrical Engineering, Shabestar Branch, Islamic Azad University, Shabestar, Iran
الکلمات المفتاحية: distribution system, conductor size, capacitor placement, hybrid evolutionary algorithm, loss reduction, optimization,
ملخص المقالة :
The optimum planning of power distribution networks is one of the most important research fields for electrical engineers. Normally in a distribution system, operational costs are high because of their losses. In this paper, the practical planning of the distribution system includes the selection of optimal conductor size and capacitor placement in the radial distribution network considering the increasing rate of loads. Technical operational constraints are available conductors and capacitors, voltage limit, maximum permissible carrying current of conductors, and maximum reactive power that could be injected, without overvoltage. The objective function includes the cost of power losses, capacitors, and conductors, also the above constraints are added as penalty functions to the objective function. In this paper, the minimization problem is solved using an effective hybrid method of GA and PSO, which is called HGAPSO. By applying the proposed method, the final cost of network planning, losses, and their cost are considerably reduced and the voltage profile of the network has improved to a semi-flat shape. In the minimization process, an efficient algorithm is used to solve the radial distribution power flow problem in complex mode, which makes it easier to get system data iteratively. Simulation results are investigated on a sample radial distribution network. Finally, the effectiveness of the proposed hybrid method is proved by comparing the results with the results obtained from PSO.
[1] V. Marvasti, M. Nozari, H. Shariati Dehaghan, J. Azizi,” Combination of Optimal Conductor Selection and Capacitor Placement in Radial Distribution Systems for Maximum Loss Reduction ”,ACM portal,2009.
[2] RM. S. Danaraj, SH.F.Kodad “An algorithm for radial distribution power flow in Complex mode including voltage controlled buses”, Indian Journal of Science and Technology, Vol.1 No.2, 2007.
[3] De Souza, “Micro genetic algorithms and fuzzy logic applied to the optimal placement of capacitor banks in distribution networks”, IEEE Trans. On Power System, vol.19, Issue:2, May 2004, p.942-947.
[4] Chun-Feng Lu, Chia-Feng Juang, “Evolutionary fuzzy control of flexible AC transmission system,” IEE Proc.-Gener. Transm. Distrib, Vol. 152, pp. 441-448, No. 4, July 2005.
[5] H. Falaghi, M. Ramezani, M.-R. Haghifam, K. Roshan milani, ”optimal selection of conductors in radial distribution systems with time varying load” 18th International Conference on Electricity Distribution, Turin, 6-9 June 2005
[6] Ramon. .A. Gallego, and etc, “Optimal capacitor placement in radial distribution”, IEEE Trans. On power systems vol. 16, No.4, November 2001.
[7] Z. Wang, H. Liu, D. C. Yu, X. Wang, H. Song, “A Practical Approach to the Conductor Size Selection in Planning Radial Distribution Systems,” IEEE Transaction on Power delivery, Vol. 15, No. 1, pp. 350-353, 2000.
[8] AJ Rabih ,”Radial Distribution Load Flow Using Conic Programming” , IEEE Transactions on power systems,21,1458-1459.2006.
[9] S.Mandal, A.Pahwa, “Optimal Selection of Conductors for Distribution Feeders,” IEEE Transaction on Power Systems, Vol. 17, Issue 1, pp.192-197, 2002.
[10] R. A. Hooshmand, M.Ataei, “Optimal Capacitor Placement in Actual Configuration and Operational Conditions of Distribution Systems Using RCGA,” Journal of Electrical Engineering, Vol. 58, no. 4, pp. 189–199, 2007.
[11] R.A. Jabr,” Optimal Placement of Capacitors in a Radial Network Using Conic and Mixed Integer Linear Programming, ” Elsevier Ltd, Electric Power Systems Research, vol.78, pp. 941–948, 2008.
[12] A.Seifi, M.R.Hesamzadeh, “A Hybrid Optimization Approach for Distribution Capacitor Allocation Considering Varying Load Conditions,” Elsevier Ltd., Electrical Power and Energy Systems, 2009. (Article in press).
[13] H.M.Khodr, F.G.Olsina, “Maximum Savings Approach for Location and Sizing of Capacitors in Distribution Systems, “Elsevier Ltd., Electric Power Systems Research, vol.78, pp. 1192–1203, 2008.
[14] R. Ranjan, B. Venkatesh, D. Das, “A New Algorithm for Power Distribution System Planning”, Electric power system research, vol. 62, pp. 55-65, 2002.
[15] Jorge Angarita Marquez, Mohammad Ahmad A. Al-Ja’Afreh, Geev Mokryani, Sohag Kabir, Felician Campean, Cuong Dao, Sana Riaz, Optimal planning and operation of distribution systems using network reconfiguration and flexibility services, Energy Reports, Volume 9, 2023, Pages 3910-3919.
[16] Jagtap, K.M., Shukla, A. & Baboria, S.A. Optimal planning for distribution networks considering system uncertainties using pseudo-inspired gravitational search algorithm. Electr Eng (2024). https://doi.org/10.1007/s00202-024-02382-z.
[17] Z. Yang, F. Yang, Y. Shen, L. Su, Y. Lei and F. Yan, "Optimal Planning of Distribution Network Considering Photovoltaic Energy Consumption," 2020 IEEE 4th Conference on Energy Internet and Energy System Integration (EI2), Wuhan, China, 2020, pp. 4133-4137, doi: 10.1109/EI250167.2020.9346975.
[18] Seyed Abbas Taher, Mohammad Hasani, Ali Karimian, A novel method for optimal capacitor placement and sizing in distribution systems with nonlinear loads and DG using GA, Communications in Nonlinear Science and Numerical Simulation, Volume 16, Issue 2, 2011, Pages 851-862.
[19] Gallego Pareja LA, López-Lezama JM, Gómez Carmona O. A MILP Model for Optimal Conductor Selection and Capacitor Banks Placement in Primary Distribution Systems. Energies. 2023; 16(11):4340. https://doi.org/10.3390/en16114340.
[20] Ali, H.; Ullah, S.; Sami, I.; Ahmad, N.; Khan, F. Economic Loss Minimization of a Distribution Feeder and Selection of Optimum Conductor for Voltage Profile Improvement. In Proceedings of the 2018 International Conference on Power Generation Systems and Renewable Energy Technologies (PGSRET), Islamabad, Pakistan, 10–12 September 2018; pp. 1–6.
[21] Kumari, M.; Ranjan, R. Economical Selection of Conductor in Radial Distribution System using PSO. J. Inst. Eng. Ser. B 2022, 103, 1105–1114.
[22] Ravindra, K.; Prasad, K.R.K.V. Optimal Conductor selection and Capacitor Placement for Cost minimization in Distribution Systems. Int. J. Adv. Sci. Res. Manag. 2019, 11–15.
[23] Ismael, S.; Abdel Aleem, S.; Abdelaziz, A. Optimal Conductor Selection in Radial Distribution Systems using Whale Optimization Algorithm. J. Eng. Sci. Technol. 2019, 14, 87–107.
[24] Montoya, O.D.; Gil-González, W.; Grisales-Noreña, L.F. On the mathematical modeling for optimal selecting of calibers of conductors in DC radial distribution networks: An MINLP approach. Electr. Power Syst. Res. 2021, 194, 107072.
[25] Gupta, S.; Yadav, V.K.; Singh, M. Optimal Allocation of Capacitors in Radial Distribution Networks Using Shannon’s Entropy. IEEE Trans. Power Deliv. 2022, 37, 2245–2255.
[26] Navesi, R.B.; Nazarpour, D.; Ghanizadeh, R.; Alemi, P. Switchable Capacitor Bank Coordination and Dynamic Network Reconfiguration for Improving Operation of Distribution Network Integrated with Renewable Energy Resources. J. Mod. Power Syst. Clean Energy 2022, 10, 637–646.
[27] Mtonga, T.P.M.; Kaberere, K.K.; Irungu, G.K. Optimal Shunt Capacitors’ Placement and Sizing in Radial Distribution Systems Using Multiverse Optimizer. IEEE Can. J. Electr. Comput. Eng. 2021, 44, 10–21.
[28] Abul’Wafa, A.R. Optimal capacitor allocation in radial distribution systems for loss reduction: A two stage method. Electr. Power Syst. Res. 2013, 95, 168–174.