Ibrahim H. Al-Kharsan,Ali. F. Marhoon,Jawad Radhi Mahmood,




Load balancing,Gray Wolf algorithm,phase swapping, solar energy,swapping factor,unbalanced feeders,


The significant spread of the single-phase loads in the consumer homes make the distribution network suffering from many dangerous problems like the load unbalancing. This problem comes because the single-phase devices continuously plugged in and out to different phases each time. This paper cared about this problem and solved it efficiently by the new meta-heuristic algorithm called GWO that applied for the first time to solve the load balancing issue. The algorithm has the ability based on the smart meter included swapping mechanism to disconnects the appropriate home phases from their initial connection to specific feeders and reconnected again to other feeders for satisfying the balancing in the secondary distribution network. The algorithm adapted to reaching the balancing with a minimal number of swaps and take care of the online PVs if the consumer likes to buy energy to the national utility. It distributed all the PVs in a manner that not cause a balancing problem or lead to a stability issue. The proposed method has been applied to some unbalanced areas with random data generated in MATLAB to confirm the efficacy of the proposed algorithm.


I. A. R. Malekpour and A. Pahwa, “Radial Test Feeder including primary and secondary distribution network,” in 2015 North American Power Symposium (NAPS), 2015, pp. 1–9.
II. A. Raminfard and S. M. Shahrtash, “A Practical Method for Load Balancing in the LV Distribution Networks Case study : Tabriz Electrical Network,” vol. 2, no. 6, pp. 1193–1198, 2010.
III. H. M. Khodr, I. J. Zerpa, P. M. De Oliveira-De Jesús, and M. A. Matos, “Optimal phase balancing in distribution system using mixed-integer linear programming,” 2006 IEEE PES Transm. Distrib. Conf. Expo. Lat. Am. TDC’06, vol. 00, pp. 1–5, 2006.
IV. J. J. Burke, Power distribution engineering: fundamentals and applications. CRC Press, 2017.
V. J. Zhu, M. Y. Chow, and F. Zhang, “Phase balancing using mixed-integer programming,” IEEE Trans. Power Syst., vol. 13, no. 4, pp. 1487–1492, 1998.
VI. K. P. Schneider et al., “Analytic considerations and design basis for the IEEE distribution test feeders,” IEEE Trans. Power Syst., vol. 33, no. 3, pp. 3181–3188, 2017.
VII. K. Wang, S. Skiena, and T. G. Robertazzi, “Phase balancing algorithms,” Electr. Power Syst. Res., vol. 96, pp. 218–224, 2013.
VIII. L. R. De Araujo, D. R. R. Penido, S. CarneiroJr, and J. L. R. Pereira, “Optimal unbalanced capacitor placement in distribution systems for voltage control and energy losses minimization,” Electr. Power Syst. Res., vol. 154, pp. 110–121, 2018.
IX. M. M. A. Salama, “Multi-Objective Optimization for the Operation of an Electric Distribution System With a Large Number of Single Phase Solar Generators,” vol. 4, no. 2, pp. 1038–1047, 2013.
X. N. Gupta, A. Swarnkar, and K. R. Niazi, “A novel strategy for phase balancing in three-phase four-wire distribution systems,” IEEE Power Energy Soc. Gen. Meet., pp. 1–7, 2011.

XI. P. V. Prasad, S. Sivanagaraju, and N. Sreenivasulu, “Network reconfiguration for load balancing in radial distribution systems using genetic algorithm,” Electr. Power Components Syst., vol. 36, no. 1, pp. 63–72, 2008.
XII. R. A. Hooshmand and S. Soltani, “Fuzzy optimal phase balancing of radial and meshed distribution networks using BF-PSO algorithm,” IEEE Trans. Power Syst., vol. 27, no. 1, pp. 47–57, 2012.
XIII. R. E. Brown, Electric power distribution reliability. CRC press, 2017.
XIV. R. Hooshmand and S. H. Soltani, “Simultaneous optimization of phase balancing and reconfiguration in distribution networks using BF-NM algorithm,” Int. J. Electr. Power Energy Syst., vol. 41, no. 1, pp. 76–86, 2012.
XV. S. C. Ross, G. Vuylsteke, and J. L. Mathieu, “Effects of load control for real-time energy balancing on distribution network constraints,” in 2017 IEEE Manchester PowerTech, 2017, pp. 1–6.
XVI. S. Mirjalili, S. Mirjalili, A. L.-A. in engineering Software, and U. 2014, “Grey wolf optimizer,” Elsevier, vol. 69, pp. 46–61, 2014.(14)
XVII. T. A. Short, Electric power distribution equipment and systems. CRC press, 2018.
XVIII. V. Zdraveski, M. Todorovski, and L. Kocarev, “Dynamic intelligent load balancing in power distribution networks,” Int. J. Electr. Power Energy Syst., vol. 73, pp. 157–162, 2015.

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