A New Optimal Distributed Strategy to Mitigate the Phase Imbalance in Smart Grids

Document Type : Original Article


Department of Electrical Engineering, Science and Research Branch, Islamic Azad University, Tehran, Iran


In a three-phase distribution system, due to unequal distribution of single-phase loads, load diversities, the different consumption patterns, and growing penetration of renewable energy resources in smart grids, the problem of unbalanced power flow becomes more challenging. In this paper, we propose a new innovative phase imbalance mitigation (PIM) scheme performed by smart meters. With aid of the proposed optimal phase assignment for 3-phase power distribution input feeders known as phase rearrangement (PR), Electrical storages (ES), and the Renewable energy sources (RES), smart meter owners are inspired to assist the distribution system operator (DSO) in diminishing the phase imbalance. This is achieved by employing a proposed connection point assignment system which has the flexibility of selecting the power input among the three phases and management of ESs and RESs.  We model this problem into a mixed integer linear program, where smart meter owners minimize their electricity bill. Simulation results confirm the proposed approach and show smart meter owners will save on their electricity bill and the DSO will get benefit by improving the power quality of the grid and significant decrements of the power flow imbalance.


1.     Kersting, W.H., "Distribution system modeling and analysis, CRC Press,  (2012).
2.     Martinenas, S., Knezović, K. and Marinelli, M., "Management of power quality issues in low voltage networks using electric vehicles: Experimental validation", IEEE Transactions on Power Delivery,  Vol. 32, No. 2, (2016), 971-979, doi:10.1109/TPWRD.2016.2614582.
3.     Mostafa, H.A., El-Shatshat, R. and Salama, M.M., "Multi-objective optimization for the operation of an electric distribution system with a large number of single-phase solar generators", IEEE Transactions on Smart grid,  Vol. 4, No. 2, (2013), 1038-1047, doi:10.1109/TSG.2013.2239669.
4.     Ma, K., Li, R., and Li, F., "Quantification of additional asset reinforcement cost from 3-phase imbalance", IEEE Transactions on Power Systems,  Vol. 31, No. 4, (2015), 2885-2891, doi:10.1109/TPWRS.2015.2481078.
5.     Shahnia, F., Majumder, R., Ghosh, A., Ledwich, G. and Zare, F., "Voltage imbalance analysis in residential low voltage distribution networks with rooftop pvs", Electric Power Systems Research,  Vol. 81, No. 9, (2011), 1805-1814, doi:10.1016/j.epsr.2011.05.001.
6.     Karimi, M., Mokhlis, H., Naidu, K., Uddin, S. and Bakar, A., "Photovoltaic penetration issues and impacts in distribution network–a review", Renewable and Sustainable Energy Reviews,  Vol. 53, (2016), 594-605, doi:10.1016/j.rser.2015.08.042.
7.     Gray, M.K. and Morsi, W.G., "Economic assessment of phase reconfiguration to mitigate the unbalance due to plug-in electric vehicles charging", Electric Power Systems Research,  Vol. 140, (2016), 329-336, doi:10.1016/j.epsr.2016.06.008.
8.     Soltani, S., Rashidinejad, M. and Abdollahi, A., "Stochastic multiobjective distribution systems phase balancing considering distributed energy resources", IEEE Systems Journal,  Vol. 12, No. 3, (2017), 2866-2877, doi:10.1109/JSYST.2017.2715199.
9.     Sedighi, A.R., "A novel method for implementing of time-of-use to improve the performance of electric distribution systems: A case study", International Journal of Engineering, Transactions C: Aspects, Vol. 30, No. 3, (2017), 357-365, doi:10.5829/idosi.ije.2017.30.03c.05.
10.   Sattarpour, T., "Assessing the impact of size and site of dgs and sms in active distribution networks for energy losses cost", International Journal of Engineering, Transactions A: Basics,  Vol. 28, No. 7, (2015), 1002-1010, doi:10.5829/idosi.ije.2015.28.07a.06.
11.   Farzinfar, M., Shafiee, M. and Kia, A., "Determination of optimal allocation and penetration level of distributed energy resources considering short circuit currents", International Journal of Engineering, Transactions C: Aspects, Vol. 33, No. 3, (2020), 427-438, doi:10.5829/ije.2020.33.03c.07.
12.   Siti, M.W., Nicolae, D.V., Jimoh, A.A. and Ukil, A., "Reconfiguration and load balancing in the lv and mv distribution networks for optimal performance", IEEE Transactions on Power Delivery,  Vol. 22, No. 4, (2007), 2534-2540, doi:10.1109/TPWRD.2007.905581.
13.   Hong, T. and De León, F., "Controlling non-synchronous microgrids for load balancing of radial distribution systems", IEEE Transactions on Smart Grid,  Vol. 8, No. 6, (2016), 2608-2616, doi:10.1109/TSG.2016.2531983.
14.   Czarnecki, L.S. and Haley, P.M., "Unbalanced power in four-wire systems and its reactive compensation", IEEE Transactions on Power Delivery,  Vol. 30, No. 1, (2014), 53-63, doi:10.1109/TPWRD.2014.2314599.
15.   Hooshmand, R.A. and Soltani, S., "Fuzzy optimal phase balancing of radial and meshed distribution networks using bf-pso algorithm", IEEE Transactions on Power Systems,  Vol. 27, No. 1, (2011), 47-57, doi:10.1109/TPWRS.2011.2167991.
16.   Gupta, N., Swarnkar, A. and Niazi, K., "A novel method for simultaneous phase balancing and mitigation of neutral current harmonics in secondary distribution systems", International Journal of Electrical Power & Energy Systems,  Vol. 55, (2014), 645-656, doi:10.1016/j.ijepes.2013.10.014.
17.          Shahnia, F., Wolfs, P.J. and Ghosh, A., "Voltage unbalance reduction in low voltage feeders by dynamic switching of residential customers among three phases", IEEE Transactions on Smart Grid,  Vol. 5, No. 3, (2014), 1318-1327, doi:TSG.2014.2305752.