Pareto Local Search Function for Optimal Placement of DG and Capacitors Banks in Distribution Systems

  • Abdolreza Sadighmanesh Department of Electrical Engineering, Ahar Branch, Islamic Azad University, Ahar, Iran.
  • Mehran Sabahi Department of Electrical and Computer Engineering, University of Tabriz, Tabriz, Iran.
  • Mahdi Zavvari Department of Electrical Engineering, Urmia Branch, Islamic Azad University, Urmia, Iran.
Keywords: Capacitors Placement, DG Placement, Loss Reduction, Multi-objective Function, On Load Tap Changer Transformer, Particle Swarm Optimization, Voltage Stability Index


DGs and capacitor banks are installed to optimize the performance of many distribution networks. Typically, the problem of optimizing the overall performance of the distribution network is examined with multi-objective purposes. Network optimization purposes are usually varied and sometimes contradictory. Therefore, the problem search space is very large due to the variety of purposes. This paper presents a modified Pareto local search function for optimal placement of DGs and capacitor banks. To limit the search space and find Pareto points, a new combination method including Pareto chart and a weight function has been used. The optimal operation of the distribution network is performed by three single objective functions related to the voltage stability index, voltage profile of buses and power loss. In this method, a modified per-unit system is presented to align single objective functions and their weighting coefficients. The network is studied with three different loads. So that, the network is examined in the final stage by increasing the load and reaching bus voltage stability margins. The particle swarm optimization method is applied to solving placement problems. In addition, locating and sizing DG and capacitor banks, tap setting of on load tap changer transformer is adjusted by the proposed method. To show the effectiveness of the purposed method, simulations are applied to 69 bus radial system. The results indicated the favorable advantage of the proposed method to improve the overall performance of the distribution network.


[1] Y. Naderi, S.H. Hosseini, S. Ghassem Zadeh, B. Mohammadi-Ivatloo, J.C. Vasquez, J.M. Guerrero, “An overview of power quality enhancement techniques applied to distributed generation in electrical distribution networks” Renewable and Sustainable Energy Reviews journal., Vol. 93, pp. 201–214, May 2018.
[2] M. Zhang, Q. Wu, J. Wen, Z. Lin, F. Fang, and Q. Chen, “Optimal operation of integrated electricity and heat system: A review of modeling and solution methods” Renewable and Sustainable Energy Reviews Journal, Vol. 135, Aug 2021.
[3] N. M. Neagle, and D. R. Samson, “Loss Reduction from Capacitors Installed on Primary Feeders,” AIEE Trans. Power Appar Syst., Vol.75, No.3, pt.III, pp. 950-959, Jan. 1956.
[4] Y. Gupta, S. Doolla, K. Chatterjee, and B. Chandra Pal, “Optimal DG Allocation and Volt–Var Dispatch for a Droop-Based Microgrid,” IEEE Trans. Smart Grid., Vol.12, No.1, pp. 169-181, Jan. 2021.
[5] H.B. Tolabia, A. Lashkar Araa, and R. Hosseinib “A new thief and police algorithm and its application in simultaneous reconfiguration with optimal allocation of capacitor and distributed generation units” Energy journal., Vol. 203, July 2020.
[6] D. Esmaeili, K. Zare, B. Mohammadi-Ivatloo, and S. Nojavan “Simultaneous Optimal Network Reconfiguration, DG and Fixed/Switched Capacitor Banks Placement in Distribution Systems using Dedicated Genetic Algorithm” Majlesi Journal of Electrical Engineering., Vol. 9, No. 4, Sep 2015.
[7] I.B. Hamida, S.B. Salah, F. Msahli, and M.F. Mimouni, “Review Optimal network reconfiguration and renewable DG integration considering time sequence variation in load and DGs” Renewable Energy journal., Vol. 121 pp. 66-80, 2018.
[8] M.C.V. Suresh, and J. Belwin Edward, “A hybrid algorithm based optimal placement of DG units for loss reduction in the distribution system” Applied Soft Computing Journal., Vol. 91, 2020.
[9] R. Pinto, C. Unsihuay-Vila., and T. Fernandes, “Multi-objective and multi-period distribution expansion planning considering reliability, distributed generation and self-healing,” IET Generation, Transmission, Vol. 13, No. 2, pp. 219-228, Jan 2019.
[10] K. Mehmood; C. Kim; S. Khan; and Z. Haider “Unified Planning of Wind Generators and Switched Capacitor Banks: A Multiagent Clustering-Based Distributed Approach,” IEEE Trans. Power Syst., Vol. 33, no. 6, pp. 6978-6988, July 2018.
[11] A. Adel, A. El-Ela, R. A. El-Sehiemy, and A. S. Abbas, “Optimal Placement and Sizing of Distributed Generation and Capacitor Banks in Distribution Systems Using Water Cycle Algorithm,” IEEE Syst Journal., Vol. 12, No. 4, pp. 3629–3636, Dec. 2018.
[12] P. Gangwar, S. N. Singh, and S. Chakrabarti, “Multi-objective planning model for multi-phase distribution system under uncertainty considering reconfiguration,” IET Renewable Power Generation, Vol. 13, No. 12, pp. 2070–2083, Aug. 2019.
[13] T.M. Masaud, R.D. Mistry, and P.K. Sen, “Placement of large-scale utility-owned wind distributed generation based on probabilistic forecasting of line congestion” IET Renewable Power Generation., Vol. 11, No. 7, pp. 979-986, 2017.
[14] K.I. Sgouras, A.S. Bouhouras, P.A. Gkaidatzis, D.I. Doukas, and D.P. Labridis, “Impact of reverse power flow on the optimal distributed generation placement problem” IET Gen. Trans. Distr., Vol. 11, No. 18, pp. 12-21, 2017.
[15] T.M. Masaud, G. Nannapaneni, and R. Challoo, “Optimal placement and sizing of distributed generation-based wind energy considering optimal self VAR control” IET Renewable Power Generation., Vol. 11, No. 3, pp. 2-22, 2017.
[16] J. D. Foster, A. M. Berry, N. Boland, and H. Waterer, “Comparison of Mixed-Integer Programming and Genetic Algorithm Methods for Distributed Generation Planning,” IEEE Trans. Power Syst., Vol. 29, No. 2, pp. 833–843, Mar. 2014.
[17] N. G. Paterakis, A. Mazza, S. F. Santos, O. Erdinç, G. Chicco, A. G. Bakirtzis, and J. P. S. Catalão, “Multi-Objective Reconfiguration of Radial Distribution Systems Using Reliability Indices,” IEEE Trans. Power Syst., Vol. 31, no. 2, pp. 1048–1062, Mar. 2016.
[18] M. Daneshvar, M. Abapour1, B. Mohammadi-ivatloo1, and S. Asadi, “Impact of Optimal DG Placement and Sizing on Power Reliability and Voltage Profile of Radial Distribution Networks,” Majlesi Journal of Electrical Engineering., Vol. 13, No. 2, Jun 2019.
[19] G. Manikanta1, A. Mani, H.P. Singh, and D.K. Chaturvedi, “Effect of Voltage Dependent Load Model on Placement and Sizing of Distributed Generator in Large Scale Distribution System,” Majlesi Journal of Electrical Engineering., Vol. 14, No. 4, December 2020
[20] W. Sheng, K. Liu, Y. Liu, X. Meng, and Y. Li, “Opimal Placement and Sizing of Distributed Generation via an Improved Nondominated Sorting Genetic Algorithm II,” IEEE Trans. Power Del., Vol. 30, No. 2, pp. 569-578, Apr. 2015.
[21] A. Asrari, S. Lotfifard, and M. S. Payam, “Pareto Dominance-Based Multi-objective Optimization Method for Distribution Network Reconfiguration,” IEEE Trans. Smart Grid, Vol. 7, No. 3, pp. 1401-1410, May. 2016.
[22] M. M. Drugan, D. Thierens, “Stochastic Pareto local search: Pareto neighborhood exploration and perturbation strategies” Springer Journal of Heuristics, Vol. 18, No. 5, pp 727–766, Oct 2012.
[23] H.H Hoos, and T. Stützle, “Stochastic Local Search Algorithms: An Overview,” DOI: 10.1007/978-3-662-43505-2_54, January 2015
[24] N.Gnanasekarana, S.Chandramohanb, P. SathishKumarc, and A.Mohamed Imran, “Optimal placement of capacitors in radial distribution system using shark smell optimization algorithm” Ain Shams Engineering Journal., Vol. 7, No. 2, pp. 907-916, 2016.
[25] E. Almabsout, R.A. El-Sehiemy, O. Nuri Uç An, and O. Bayat “A Hybrid Local Search-Genetic Algorithm for Simultaneous Placement of DG Units and Shunt Capacitors in Radial Distribution Systems” IEEE access journal. Vol. 8, pp. 54465-54481, 2020
[26] H.S. Avchat, and S. Mhetre, “Optimal Placement of Distributed Generation in Distribution Network Using particle Swarm Optimization,” International Conference for Emerging Technology (INCET), Belgaum, India, indexed in IEEE, Jun 5-7, 2020.
[27] A.R. Bhowmik, A.K. Chakraborty, and S. Mukherjee, “Probabilistic Load Flow Based Optimal Sizing and Placement of DG and DSTATCOM Using Chaotic Lightning Search Algorithm,” 4th International Conference on Electrical, Electronics, Communication, Computer Technologies and Optimization Techniques (ICEECCOT), indexed in IEEE, 13-14 Dec, 2019.
[28] Y.P. Agalgaonkar, B.C. Pal, and R.A. Jabr, “Distribution voltage control considering the impact of PV generation on tap changers and autonomous regulators,” IEEE Trans on Power Systems, Vol. 29, No.1, pp.182-192, 2013.
[29] K. Miettinen, “Nonlinear Multiobjective Optimization,” Springer. ISBN 978-0-7923-8278-2. Retrieved 29 May 2012.
[30] M Chakravorty, and D. Das, “Voltage stability analysis of radial distribution networks,” Int Journal Elec, Power Energy Syst., Vol. 23, No. 2, pp. 129-135, Feb 2001.
[31] A. Sadighmanesh, K. Zare, and M. Sabahi, “Distributed Generation unit and Capacitor Placement for Loss, Voltage profile and ATC Optimization”, International Journal of Electrical and Computer Engineering (IJECE), Vol. 2, No. 6, pp. 774-780, December 2012.
[32] Y. Xin-She, “Nature-Inspired Optimization Algorithms, chapter weighted sum method” science Direct book, 2014.
[33] A. Shaheen, R. El-Sehiemy, and S. M. Farrag, “Solving multi-objective optimal power flow problem via forced initialised differential evolution algorithm,” IET Gen. Trans. Distr., Vol. 10, No. 7, pp. 1-14, 2016.
[34] M. Aman, G. Jasmon, A. Bakar, and H. Mokhlis, “A new approach for optimum DG placement and sizing based on voltage stability maximization and minimization of power losses,” Energy Conv Manag., Vol‎. 70, pp. 202-210, Apr 2013.
[35] A. Eajal, and M. El-Hawary, “Optimal capacitor placement and sizing in unbalanced distribution systems with harmonics consideration using particle swarm optimization,” IEEE Trans. Power Del., Vol. 25, No. 3, pp. 1734-1741, Jul. 2010.
[36] Shradha Singh Parihar, “Load Flow Analysis of Radial Distribution System with DG and Composite Load Model” International Conference on Power Energy, Environment and Intelligent Control (PEEIC), Indexed in IEEE, April 2018.
[37] D. Sudha Rani, N. Subrahmanyam, and M. Sydulu, “Self Adaptive Harmony Search Algorithm for Optimal Capacitor Placement on Radial Distribution Systems” Inter Conf on Energy Efficient Technologies for Sustainability, Nagercoil, India, Index IEEE, Papers (12), April. 2013.
[38] S. Ganesh, and R. Kanimozhi, “Meta-heuristic technique for network reconfiguration in distribution system with photovoltaic and D-STATCOM,” IET Gen. Trans. Distr., Vol. 12, No. 20, pp. 4524-4535, 2018.
[39] T.P.M. Mtonga, K. K. Kaberere, and G.K. Irungu, “Optimal Shunt Capacitors’ Placement and Sizing in Radial Distribution Systems Using Multiverse Optimizer” IEEE Canadian Journal of Electrical and Computer Engineering., Vol. 44, No. 1, 2021.
How to Cite
Sadighmanesh, A., Sabahi, M., & Zavvari, M. (2021). Pareto Local Search Function for Optimal Placement of DG and Capacitors Banks in Distribution Systems. Majlesi Journal of Electrical Engineering, 15(3), 81-92.