Abstract
The uncertainty of solar generation is a challenging issue for the operation and control of distribution systems. Also, because of the large number of control and operation variables in advanced distribution networks, the centralized optimization technique requires high computational capabilities. In this paper, a distributed voltage regulation approach in a distribution system based on the predictor corrector proximal multiplier (PCPM) algorithm has been presented. This paper focuses on the voltage rise in distribution systems with high penetration of photovoltaics. 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 PCPM. The proposed method is tested on 69 and 123 nodes IEEE distribution test systems. The results confirmed that the proposed method achieves the optimal solution with the same accuracy as the centralized method but in a much shorter computation time.
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Golshannavaz S (2018) Cooperation of electric vehicle and energy storage in reactive power compensation: an optimal home energy management system considering PV presence. Sustain Cities Soc 39:317–325
Moradian S, Homaee O, Jadid S, Siano P (2019) Optimal placement of switched capacitors equipped with stand-alone voltage control systems in radial distribution networks. Int Trans Electr Energy Syst 29(3):e2753
Jashfar S, Esmaeili S (2014) Volt/var/THD control in distribution networks considering reactive power capability of solar energy conversion. Int J Electr Power Energy Syst 60:221–233
Jabr RA (2020) Segregated linear decision rules for inverter Watt-VAr control. IEEE Trans Power Syst. https://doi.org/10.1109/TPWRS.2020.3032467
Karbouj H, Rather ZH, Chandra Pal B (2020) Adaptive voltage control for large scale solar PV power plant considering real life factors. IEEE Trans Sustain Energy. https://doi.org/10.1109/TSTE.2020.3029102
Wang L, Ruifeng Y, Saha TK (2018) Voltage management for large scale PV integration into weak distribution systems. IEEE Trans Smart Grid 9(5):4128–4139
Pezeshki H, Arefi A, Ledwich G, Wolfs P (2018) Probabilistic voltage management using OLTC and dSTATCOM in distribution networks. IEEE Trans Power Deliv 33(2):570–580
Li P, Ji H, Yu H, Zhao J, Wang C, Song G, Wu J (2019) Combined decentralized and local voltage control strategy of soft open points in active distribution networks. Appl Energy 241:613–624
Monadi M, Hooshyar H, Vanfretti L, Mahmood F, Candela JI, Rodriguez P (2019) Measurement-based network clustering for active distribution systems. IEEE Trans Smart Grid 10(6):6714–6723. https://doi.org/10.1109/TSG.2019.2910510
Nayeripour M, Fallahzadeh-Abarghouei H, Waffenschmidt E, Hasanvand S (2016) Coordinated online voltage management of distributed generation using network partitioning. Electr Power Syst Res 141:202–209
Zhao B, Xu Z, Xu C, Wang C, Lin F (2018) Network partition-based zonal voltage control for distribution networks with distributed PV systems. IEEE Trans Smart Grid 9(5):4087–4098
Ding J, Zhang Q, Hu S, Wang Q, Ye Q (2018) Clusters partition and zonal voltage regulation for distribution networks with high penetration of PVs. IET Gener Transm Distrib 12(22):6041–6051
Biskas PN, Bakirtzis AG, Macheras NI, Pasialis NK (2005) A decentralized implementation of DC optimal power flow on a network of computers. IEEE Trans Power Syst 20(1):25–33
Anjos M, Lodi A, Tanneau M (2018) A decentralized framework for the optimal coordination of distributed energy resources. IEEE Trans Power Syst 34(1):349–359
Brooks J, Trevizan RD, Barooah P, Bretas AS (2019) Analysis and evaluation of a distributed optimal load coordination algorithm for frequency control. Electr Power Syst Res 167:86–93
Duan J (2018) M-Y Chow, A novel data integrity attack on consensus-based distributed energy management algorithm using local information. IEEE Trans Ind Inf 15(3):1544–1553
Rokni SGM, Radmehr M, Zakariazadeh A (2018) Optimum energy resource scheduling in a microgrid using a distributed algorithm framework. Sustain Cities Soc 37:222–231
Lai K, Illindala MS (2018) A distributed energy management strategy for resilient shipboard power system. Appl Energy 228:821–832
Chamana M, Chowdhury BH, Jahanbakhsh F (2018) Distributed control of voltage regulating devices in the presence of high PV penetration to mitigate ramp-rate issues. IEEE Trans Smart Grid 9(2):1086–1095
Jabr RA (2018) Linear decision rules for control of reactive power by distributed photovoltaic generators. IEEE Trans Power Syst 33(2):2165–2174
Kim BH, Baldick R (2000) A comparison of distributed optimal power flow algorithms. IEEE Trans Power Syst 15(2):599–604
Li N, Chen L, Low SH (2012) Demand response in radial distribution networks: distributed algorithm. In: 2012 Conference record of the forty sixth Asilomar conference on signals, systems and computers (ASILOMAR). IEEE, pp 1549–1553
Shi W, Xiaorong X, Chu C, Gadh R (2014) Distributed optimal energy management in microgrids. IEEE Trans Smart Grid 6(3):1137–1146
Silani A, Yazdanpanah MJ (2018) Distributed optimal microgrid energy management with considering stochastic load. IEEE Trans Sustain Energy 10(2):729–737
Ela E, Diakov V, Ibanez E, Heaney M (2013) Impacts of variability and uncertainty in solar photovoltaic generation at multiple timescales. In: No. NREL/TP-5500-58274. National Renewable Energy Lab. (NREL), Golden, CO
Shi W, Gadh R (2015). Energy management in microgrids: algorithms and system. Ph.D. Dissertation, Department of Electrical and Computer Engineering, University of California, Los Angeles
Albuquerque FL, Moraes AJ, Guimarães GC, Sanhueza SMR, Vaz AR (2010) Photovoltaic solar system connected to the electric power grid operating as active power generator and reactive power compensator. Sol Energy 84:1310–1317
Calderaro V, Conio G, Galdi V, Massa G, Piccolo A (2014) Optimal decentralized voltage control for distribution systems with inverter-based distributed generators. IEEE Trans Power Syst 29:230–241
Girvan M, Newman MEJ (2002) Community structure in social and biological networks. Proc Natl Acad Sci 99(12):7821–7826
Borowy BS, Salameh ZM (1994) Optimum photovoltaic array size for a hybrid wind/PV system. IEEE Trans Energy Convers 9:482–488
Salameh ZM, Borowy BS, Amin ARA (1995) Photovoltaic module-site matching based on the capacity factors. IEEE Trans Energy Convers 10:326–332
Youcef F, Mefti A, Adane A, Bouroubi MY (2002) Statistical analysis of solar measurements in Algeria using beta distributions. Renew Energy 26:47–67
Atwa YM, El-Saadany EF, Salama MMA, Seethapathy R (2010) Optimal renewable resources mix for distribution system energy loss minimization. IEEE Trans Power Syst 25:360–370
Chedid R, Akiki H, Rahman S (1995) A decision support technique for the design of hybrid solar-wind power systems. IEEE Trans Energy Convers 13:76–83
Low SH (2014) Convex relaxation of optimal power flow—Part I: formulations and equivalence. IEEE Trans Control Netw Syst 1(1):15–27
Low SH (2014) Convex relaxation of optimal power flow—Part II: exactness. IEEE Trans Control Netw Syst 1(2):177–189
Li N, Chen L, Low SH (2012) Exact convex relaxation of OPF for radial networks using branch flow model. In Proceedings of the IEEE international conference on smart grid communication (SmartGridComm), Tainan, Nov. 2012, pp 7–12
Gan L, Li N, Topcu U, Low SH (2012) On the exactness of convex relaxation for optimal power flow in tree networks. In: Proceedings of the IEEE conference decision control (CDC), Maui, HI, USA, Dec. 2012, pp 465–471
Baran ME, Wu FF (1989) Optimal sizing of capacitors placed on a radial distribution system. IEEE Trans Power Deliv 4(1):735–743
Dall’Anese E, Dhople SV, Giannakis GB (2014) Optimal dispatch of photovoltaic inverters in residential distribution systems. IEEE Trans Sustain Energy 5(2):487–497
Chen G, Teboulle M (1994) A proximal-based decomposition method for convex minimization problems. Math Program 64(1):81–101
Mousavi Maleki SA, Hizam H, Gomes C (2017) Estimation of hourly, daily and monthly global solar radiation on inclined surfaces: models re-visited. Energies 10(1):134
Whitley D (1994) A genetic algorithm tutorial. Stat Comput 4(2):65–85
Cagnano A, De Tuglie E (2015) Centralized voltage control for distribution networks with embedded PV systems. Renew Energy 76:173–185
Wang Yamin, Lei Wu, Wang Shouxiang (2016) A fully-decentralized consensus-based ADMM approach for DC-OPF with demand response. IEEE Trans Smart Grid 8(6):2637–2647
Boyd S, Parikh N, Chu E, Peleato B, Eckstein J (2011) Distributed optimization and statistical learning via the alternating direction method of multipliers. Found Trends Mach Learn 3(1):1–122
IEEE PES, Distribution test feeders. http://www.ewh.ieee.org/soc/pes/dsacom/testfeeders/index.html
EN 50160 (1999) Voltage characteristics of electricity supplied by public distribution systems
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Yousefi, H., Gholamian, S.A. & Zakariazadeh, A. Voltage control approach based on PCPM distributed algorithm in the presence of high PV penetration: a stochastic modeling. Electr Eng 103, 2561–2572 (2021). https://doi.org/10.1007/s00202-021-01249-x
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DOI: https://doi.org/10.1007/s00202-021-01249-x