Document Type : Research paper


1 Department of Electrical and Computer Engineering, Babol Noshirvani University of Technology, Babol, Iran

2 Department of Electrical Engineering, University of Science and Technology of Mazandaran, Behshahr, Iran


In this paper, a distributed method for reactive power management in a distribution system has been presented. The proposed method focuses on the voltage rise where the distribution systems are equipped with a considerable number of photovoltaic units. This paper proposes the alternating direction method of multipliers (ADMMs) approach for solving the optimal voltage control problem in a distributed manner in a distribution system with high penetration of PVs. Also, the proposed method uses a clustering approach to divide the network into partitions based on the coupling degrees among different nodes. The optimal reactive power control strategy is conducted in each partition and integrated using ADMM. The proposed method is tested on a 33 bus IEEE distribution test system and a modified IEEE 123-node system. The result evidence that the proposed method has used the lower reactive power if compared to the conventional method.


Main Subjects

[1]    S. Golshannavaz, “Cooperation of electric vehicle and energy storage in reactive power compensation: An optimal home energy management system considering PV presence”, Sustainable cities soc., vol. 39, pp. 317-325, 2018.
[2]    S. Moradian, O. Homaee, S. Jadid and P. Siano, “Optimal placement of switched capacitors equipped with standalone voltage control systems in radial distribution networks”, Int. Trans. Electri. Energy Syst., vol. 29, pp. 2753, 2019.
[3]    M. Farhadi and F. Mohammadi, “Performance improvement of single-phase transformerless grid-connected PV inverters regarding common-mode voltage (CMV) and LVRT”, J. Oper. Autom. Power Eng., vol. 7, pp. 1-15, 2019.
[4]    S. Jashfar and S. Esmaeili, “Volt/var/THD control in distribution networks considering reactive power capability of solar energy conversion”, Int. J. Electr. Power Energy Syst., vol. 60, pp. 221-233, 2014.
[5]    H. Shayeghi and Y. Hashemi, “Hierarchy style application in line extension with responsive loads evaluating the dynamic nature of solar units”, J. Oper. Autom. Power Eng., vol. 6, pp. 268-284, 2018.
[6]    S. Akagi et al., “Upgrading voltage control method based on photovoltaic penetration rate”, IEEE Trans. Smart Grid, vol. 9, pp. 3994-4003, 2018.
[7]    L. Wang, R. Yan and T. Kumar Saha, “Voltage management for large scale PV integration into weak distribution systems”, IEEE Trans. Smart Grid, vol. 9, pp. 4128-39, 2018.
[8]    H. Pezeshki, A. Arefi, G. Ledwich and P. Wolfs, “Probabilistic voltage management using OLTC and DSTATCOM in distribution networks”, IEEE Trans. Power Delivery, vol. 33, pp. 570-580, 2018.
[9]    P. Li et al., “Combined decentralized and local voltage control strategy of soft open points in active distribution networks”, Appl. Energy, vol. 241, pp. 613-624, 2019.
[10]    M. Monadi et al., “Measurement-based network clustering for active distribution systems”, IEEE Trans. Smart Grid, vol. 10, pp. 6714-23, 2019.
[11]    M. Nayeripour, H. Fallahzadeh, E. Waffenschmidt and S. Hasanvand, “Coordinated online voltage management of distributed generation using network partitioning”, Electr. Power Syst. Res., vol. 141, pp. 202-209, 2016.
[12]    B. Zhao, Z. Xu, C. Xu, C. Wang and F. Lin, “Network partition-based zonal voltage control for distribution networks with distributed PV systems”, IEEE Trans. Smart Grid, vol. 9, pp. 4087-4098, 2018.
[13]    J. Ding, Q. Zhang, S. Hu, Q. Wang and Q. Ye, “Clusters partition and zonal voltage regulation for distribution networks with high penetration of PVs”, IET Gener. Transm. Distrib., vol. 12, pp. 6041-6051, 2018.
[14]    P. Biskas, A. Bakirtzis, N. Macheras and N. Pasialis, “A decentralized implementation of DC optimal power flow on a network of computers”, IEEE Trans. Power Syst., vol. 20, pp. 25-33, 2005.
[15]    A. Bakirtzis and P. Biskas, “A decentralized solution to the DC-OPF of interconnected power systems”, IEEE Trans. Power Syst., vol. 18, pp. 1007-13, 2003.
[16]    M. Anjos, A. Lodi and M. Tanneau, “A decentralized framework for the optimal coordination of distributed energy resources”, IEEE Trans. Power Syst., vol. 34, pp. 349-359, 2018.
[17]     J. Brooks, R. Trevizan, P. Barooah and A. Bretas, “Analysis and evaluation of a distributed optimal load coordination algorithm for frequency control”, Electr. Power Syst. Res., vol. 167, pp.86-93, 2019.
[18]    J. Duan and M. Chow, “A novel data integrity attack on consensus-based distributed energy management algorithm using local information”, IEEE Trans. Ind. Inf., vol. 15, pp. 1544-1553, 2018.
[19]    S. Rokni, M. Radmehr and A. Zakariazadeh, “Optimum energy resource scheduling in a microgrid using a distributed algorithm framework”, Sustainable cities soc., vol. 37, pp. 222-231, 2018.
[20]    K. Lai and M. Illindala, “A distributed energy management strategy for resilient shipboard power system”, Appl. Energy, vol. 228, pp. 821-832, 2018.
[21]     P. Sulc, S. Backhaus and M. Chertkov, “Optimal distributed control of reactive power via the alternating direction method of multipliers”, IEEE Trans. Energy Convers., vol. 29, pp. 968-977, 2014.
[22]    H. Nguyen, A. Khodaei and Z. Han, “Incentive mechanism design for integrated microgrids in peak ramp minimization problem”, IEEE Trans. Smart Grid., vol. 9, pp. 5774-5785, 2017.
[23]    T. Erseghe, “Distributed optimal power flow using ADMM”, IEEE Trans. Power Syst., vol. 29, pp. 2370-2380, 2014.
[24]    V. Bhattacharjee and I. Khan, “A non-linear convex cost model for economic dispatch in microgrids”, Appl. Energy, vol. 222, pp. 637-648, 2018.
[25]    M. Chamana, B. Chowdhury and F. Jahanbakhsh, “Distributed control of voltage regulating devices in the presence of high PV penetration to mitigate ramp-rate issues”, IEEE Trans. Smart Grid, vol. 9, pp.1086-1095, 2018.
[26]    R. Jabr, “Linear decision rules for control of reactive power by distributed photovoltaic generators”, IEEE Trans. Power Syst., vol. 33, pp. 2165-2174, 2018.
[27]    R. Jabr, “Robust Volt/VAr control with photovoltaics”, IEEE Trans. Power Syst., vol. 34, pp.2401-2408, 2019.
[28]    F. Ding and B. Mather, “On distributed PV hosting capacity estimation, sensitivity study and improvement”, IEEE Trans. Sustainable Energy, vol. 8, pp. 1010-1020, 2016.
[29]    G. Gharehpetian, M. Naderi, H. Modaghegh and A. Zakariazadeh, “Iranian smart grid road map and Iranian national advanced metering infrastructure plan (FAHAM)”, in L. Lamont and A. Sayigh, “Application of Smart Grid Technologies, Case Studies in Saving Electricity in Different Parts of the World”, Academic Press, Elsevier, 2018.
[30]    S. Cotilla et al., “Multi-attribute partitioning of power networks based on electrical distance”, IEEE Trans. Power Syst., vol. 28, pp. 4979-4987, 2013.
[31]    S. Arefifar, A. Mohamed and T. ElFouly, “Optimized multiple microgrid based clustering of active distribution systems considering communication and control requirements”, IEEE Trans. Ind. Electr., vol. 62, pp. 711- 723, 2015.
[32]    K. Christakou et al, “Efficient computation of sensitivity coefficients of node voltages and line currents in unbalanced radial electrical distribution networks”, IEEE Trans. Smart Grid, vol. 4, pp. 741-750, 2012.
[33]    T. Ehara, “Overcoming PV grid issues in the urban areas”, 2009.
[34]    National Renewable Energy Laboratory (NREL), “Advanced inverter functions to support high levels of distributed solar policy and regulatory the need for advanced”, 2014.
[35]    T. Preda, K. Uhlen and D. Eirik, “An overview of the present grid codes for integration of distributed generation”, CIRED 2012 Workshop: Integr. Renewables Distrib. Grid, 2012.
[36]    S. Hao and A. Papalexopoulos, “Reactive power pricing and management”, IEEE trans. Power Syst., vol. 12, pp. 95-104, 2017.
[37]    X. Nan, C. Yu and F. Wen, “Valuation of reactive power support services based on sensitivity and risk analysis”, Electr. Power Syst. Res., vol. 77, pp. 646-651, 2007.
[38]    S. Boyd et al., “Distributed optimization and statistical learning via the alternating direction method of multipliers,” Found. Trends Mach. Learn., vol. 3, pp. 1-122, 2011.
[39]    J. Zhu, “Optimal reconfiguration of electrical distribution network using the refined genetic algorithm”, Electr. Power Syst. Res., vol. 62, pp. 37-42, 2002.
[40]    J. Smith, R. Dugan and W. Sunderman, “Distribution modeling and analysis of high penetration PV”, 2011 IEEE Power Energy Soc. Gen. Meeting, United states, 2011.
[41]    M. Newman, M. Girvan, “Finding and evaluating community structure in networks”, Phys. Rev. E, vol. 69, pp. 026113, 2004.
[42]    P. Vovos, A. Kiprakis, A. Wallace and P. Harrison, “Centralized and distributed voltage control: Impact on distributed generation penetration”, IEEE Trans. power syst., vol. 22, pp. 476-483, 2007.
[43]    A. Cagnano and E. Tuglie, “Centralized voltage control for distribution networks with embedded PV systems”, Renewable Energy, vol. 76, pp. 173-185, 2015.
[44]    B. Robbins, C. Hadjicostis and A. Dominguez-Garcia, “A two-stage distributed architecture for voltage control in power distribution systems”, IEEE Trans. Power Syst., vol. 28, pp. 1470-1482, 2013.