AI Chat Paper
Note: Please note that the following content is generated by AMiner AI. SciOpen does not take any responsibility related to this content.
{{lang === 'zh_CN' ? '文章概述' : 'Summary'}}
{{lang === 'en_US' ? '中' : 'Eng'}}
Chat more with AI
PDF (2.3 MB)
Collect
Submit Manuscript AI Chat Paper
Show Outline
Outline
Show full outline
Hide outline
Outline
Show full outline
Hide outline
Open Access

Network-Constrained Energy Consumption Game for Dynamic Pricing Markets

Yifei Wang ( )Xiuli WangYi KuangQiao PengHongyang ZhaoZhidong Wang
Shannxi Key Laboratory of Smart Grid, School of Electrical Engineering, Xi’an Jiaotong University, Xi’an 710049, China
State Grid Economic and Technological Research Institute Co., Ltd., Beijing 102209, China
Show Author Information

Abstract

The electricity distribution network is experiencing a profound transformation with the concept of the smart grid, providing possibilities for selfish consumers to interact with the distribution system operator (DSO) and to maximize their individual energy consumption utilities. However, this profit-seeking behavior among consumers may violate the network constraints, such as line flows, transformer capacity and bus voltage magnitude limits. Therefore, a network-constrained energy consumption (NCEC) game among active load aggregators (ALAs) is proposed to guarantee the safety of the distribution network. The temporal and spatial constraints of an ALA are both considered, which leads the formulated model to a generalized Nash equilibrium problem (GNEP). By resorting to a well-developed variational inequality (VI) theory, we study the existence of solutions to the NCEC game problem. Subsequently, a two-level distributed algorithm is proposed to find the variational equilibrium (VE), a fair and stable solution to the formulated game model. Finally, the effectiveness of the proposed game model and the efficiency of the distributed algorithm are tested on an IEEE-33 bus system.

References

[1]
L. Dong, C. F. Wang, M. T. Li, K. Sun, T. Y. Chen and Y. Y. Sun, “User decision-based analysis of urban electric vehicle loads,” CSEE Journal of Power and Energy Systems, vol. 7, no. 1, pp. 190200, Jan. 2021.
[2]
P. Wang, Y. J. Cao, Z. H. Ding, H. H. Tang, X. Y. Wang and M. Cheng, “Stochastic programming on cost optimization in geographically distributed Internet data centers,” CSEE Journal of Power and Energy Systems, .
[3]
R. A. Verzijlbergh, L. J. De Vries, and Z. Lukszo, “Renewable energy sources and responsive demand. Do we need congestion management in the distribution grid?,” IEEE Transactions on Power Systems, vol. 29, no. 5, pp. 21192128, Sep. 2014.
[4]
S. Heidari and M. Fotuhi-Firuzabad, “Integrated planning for distribution automation and network capacity expansion,” IEEE Transactions on Smart Grid, vol. 10, no. 4, pp. 42794288, Jul. 2019.
[5]
M. Farivar and S. H. Low, “Branch flow model: relaxations and convexification–Part I,” IEEE Transactions on Power Systems, vol. 28, no. 3, pp. 25542564, Aug. 2013.
[6]
W. Shi, N. Li, X. Xie, C. C. Chu, and R. Gadh, “Optimal residential demand response in distribution networks,” IEEE Journal on Selected Areas in Communications, vol. 32, no. 7, pp. 14411450, Jul. 2014.
[7]
W. Y. Zheng, W. C. Wu, B. M. Zhang, and C. H. Lin, “Distributed optimal residential demand response considering operational constraints of unbalanced distribution networks,” IET Generation, Transmission & Distribution, vol. 12, no. 9, pp. 19701979, May. 2018.
[8]
E. Dall’Anese, S. V. Dhople, B. B. Johnson, and G. B. Giannakis, “Decentralized optimal dispatch of photovoltaic inverters in residential distribution systems,” IEEE Transactions on Energy Conversion, vol. 29, no. 4, pp. 957967, Dec. 2014.
[9]
J. Lavaei and S. H. Low, “Zero duality gap in optimal power flow problem,” IEEE Transactions on Power Systems, vol. 27, no. 1, pp. 92107, Feb. 2012.
[10]
S. S. Guggilam, E. Dall’Anese, Y. C. Chen, S. V. Dhople, and G. B. Giannakis, “Scalable optimization methods for distribution networks with high PV integration,” IEEE Transactions on Smart Grid, vol. 7, no. 4, pp. 20612070, Jul. 2016.
[11]
M. S. Wang, Y. F. Su, L. J. Chen, Z. M. Li and S. W. Mei, “Distributed optimal power flow of DC microgrids: a penalty based ADMM approach,” CSEE Journal of Power and Energy Systems, vol. 7, no. 2, pp. 339347, Mar. 2021.
[12]
R. Y. Li, Q. W. Wu, and S. S. Oren, “Distribution locational marginal pricing for optimal electric vehicle charging management,” IEEE Transactions on Power Systems, vol. 29, no. 1, pp. 203211, Jan. 2014.
[13]
S. J. Huang, Q. W. Wu, S. S. Oren, R. Y. Li, and Z. X. Liu, “Distribution locational marginal pricing through quadratic programming for congestion management in distribution networks,” IEEE Transactions on Power Systems, vol. 30, no. 4, pp. 21702178, Jul. 2015.
[14]
S. Hanif, T. Massier, H. B. Gooi, T. Hamacher, and T. Reindl, “Cost optimal integration of flexible buildings in congested distribution grids,” IEEE Transactions on Power Systems, vol. 32, no. 3, pp. 22542266, May. 2017.
[15]
S. Hanif, H. B. Gooi, T. Massier, T. Hamacher, and T. Reindl, “Distributed congestion management of distribution grids under robust flexible buildings operations,” IEEE Transactions on Power Systems, vol. 32, no. 6, pp. 46004613, Nov. 2017.
[16]
H. Y. Yuan, F. X. Li, Y. L. Wei, and J. X. Zhu, “Novel linearized power flow and linearized OPF models for active distribution networks with application in distribution LMP,” IEEE Transactions on Smart Grid, vol. 9, no. 1, pp. 438448, Jan. 2018.
[17]
A. Papavasiliou, “Analysis of distribution locational marginal prices,” IEEE Transactions on Smart Grid, vol. 9, no. 5, pp. 48724882, Sep. 2018.
[18]
S. Hanif, K. Zhang, C. M. Hackl, M. Barati, H. B. Gooi, and T. Hamacher, “Decomposition and equilibrium achieving distribution locational marginal prices using trust-region method,” IEEE Transactions on Smart Grid, vol. 10, no. 3, pp. 32693281, May 2019.
[19]
N. Li, L. J. Chen, and S. H. Low, “Optimal demand response based on utility maximization in power networks,” in Proceedings of 2011 IEEE Power and Energy Society General Meeting, 2011, pp. 18.
[20]
S. Bahrami, M. H. Amini, M. Shafie-Khah, and J. P. S. Catalão, “A decentralized renewable generation management and demand response in power distribution networks,” IEEE Transactions on Sustainable Energy, vol. 9, no. 4, pp. 17831797, Oct. 2018.
[21]
A. H. Mohsenian-Rad, V. W. S. Wong, J. Jatskevich, R. Schober, and A. Leon-Garcia, “Autonomous demand-side management based on game-theoretic energy consumption scheduling for the future smart grid,” IEEE Transactions on Smart Grid, vol. 1, no. 3, pp. 320331, Dec. 2010.
[22]
H. K. Nguyen, J. B. Song, and Z. Han, “Distributed demand side management with energy storage in smart grid,” IEEE Transactions on Parallel and Distributed Systems, vol. 26, no. 12, pp. 33463357, Dec. 2015.
[23]
I. Atzeni, L. G. Ordóñez, G. Scutari, D. P. Palomar, and J. R. Fonollosa, “Demand-side management via distributed energy generation and storage optimization,” IEEE Transactions on Smart Grid, vol. 4, no. 2, pp. 866876, Jun. 2013.
[24]
R. L. Deng, Z. Y. Yang, J. M. Chen, N. R. Asr, and M. Y. Chow, “Residential energy consumption scheduling: a coupled-constraint game approach,” IEEE Transactions on Smart Grid, vol. 5, no. 3, pp. 13401350, May 2014.
[25]
C. J. Li, X. H. Yu, W. W. Yu, G. Chen, and J. H. Wang, “Efficient computation for sparse load shifting in demand side management,” IEEE Transactions on Smart Grid, vol. 8, no. 1, pp. 250261, Jan. 2017.
[26]
H. Chen, Y. H. Li, R. H. Y. Louie, and B. Vucetic, “Autonomous demand side management based on energy consumption scheduling and instantaneous load billing: an aggregative game approach,” IEEE Transactions on Smart Grid, vol. 5, no. 4, pp. 17441754, Jul. 2014.
[27]
I. Atzeni, L. G. Ordóñez, G. Scutari, D. P. Palomar, and J. R. Fonollosa, “Noncooperative and cooperative optimization of distributed energy generation and storage in the demand-side of the smart grid,” IEEE Transactions on Signal Processing, vol. 61, no. 10, pp. 24542472, May. 2013.
[28]
W. Tushar, W. Saad, H. V. Poor, and D. B. Smith, “Economics of electric vehicle charging: a game theoretic approach,” IEEE Transactions on Smart Grid, vol. 3, no. 4, pp. 17671778, Dec. 2012.
[29]
W. Tushar, C. Yuen, D. B. Smith, and H. V. Poor, “Price discrimination for energy trading in smart grid: a game theoretic approach,” IEEE Transactions on Smart Grid, vol. 8, no. 4, pp. 17901801, Jul. 2017.
[30]
L. Tao and Y. Gao, “Real-time pricing for smart grid with distributed energy and storage: a noncooperative game method considering spatially and temporally coupled constraints,” International Journal of Electrical Power & Energy Systems, vol. 115, pp. 105487, Feb. 2020.
[31]
I. Atzeni, L. G. Ordóñez, G. Scutari, D. P. Palomar, and J. R. Fonollosa, “Noncooperative day-ahead bidding strategies for demand-side expected cost minimization with real-time adjustments: a GNEP approach,” IEEE Transactions on Signal Processing, vol. 62, no. 9, pp. 23972412, May 2014.
[32]
W. Wei, F. Liu, and S. W. Mei, “Charging strategies of EV aggregator under renewable generation and congestion: a normalized Nash equilibrium approach,” IEEE Transactions on Smart Grid, vol. 7, no. 3, pp. 16301641, May 2016.
[33]
Y. L. Liang, W. Wei, and C. Wang, “A generalized Nash equilibrium approach for autonomous energy management of residential energy hubs,” IEEE Transactions on Industrial Informatics, vol. 15, no. 11, pp. 58925905, Nov. 2019.
[34]
F. Facchinei and J. S. Pang, Finite-Dimensional Variational Inequalities and Complementarity Problems. New York, NY, USA: Springer, 2007.
[35]
M. E. Baran and F. F. Wu, “Network reconfiguration in distribution systems for loss reduction and load balancing,” IEEE Transactions on Power Delivery, vol. 4, no. 2, pp. 14011407, Apr. 1989.
[36]
H. G. Yeh, D. F. Gayme, and S. H. Low, “Adaptive VAR control for distribution circuits with photovoltaic generators,” IEEE Transactions on Power Systems, vol. 27, no. 3, pp. 16561663, Aug. 2012.
[37]
M. N. Faqiry and S. Das, “Distributed bilevel energy allocation mechanism with grid constraints and hidden user information,” IEEE Transactions on Smart Grid, vol. 10, no. 2, pp. 18691879, Mar. 2019.
[38]
A. Ghosh, V. Aggarwal, and H. Wan, “Strategic prosumers: how to set the prices in a tiered market?,” IEEE Transactions on Industrial Informatics, vol. 15, no. 8, pp. 44694480, Aug. 2019.
[39]
H. Ahmadi and J. R. Martı´, “Linear current flow equations with application to distribution systems reconfiguration,” IEEE Transactions on Power Systems, vol. 30, no. 4, pp. 20732080, Jul. 2015.
[40]
G. Scutari, D. P. Palomar, F. Facchinei, and J. S. Pang, “Convex optimization, game theory, and variational inequality theory,” IEEE Signal Processing Magazine, vol. 27, no. 3, pp. 3549, May 2010.
[41]
G. Scutari, D. P. Palomar, F. Facchinei, and J. S. Pang, “Monotone games for cognitive radio systems,” in Distributed Decision Making and Control, London, U. K. : Spring-Verlag, 2012, pp. 83112.
[42]
J. B. Rosen, “Existence and uniqueness of equilibrium points for concave n-person games,” Econometrica, vol. 33, no. 3, pp. 520534, Jul. 1965.
[43]
S. Boyd and L. Vandenberghe, Convex Optimization. New York, USA: Cambridge University Press, 2004.
[44]
Data for network-constrained energy consumption game. [Online]. Available: https://pan.baidu.com/s/10PeBvjQrv0ey6DmyfZHJGQ. Accessed on: Jun. 2020.
[45]
U. K. National Grid, Warwick, U. K.. (2020). “. B. National Grid status.”Online]. Available: http://www.gridwatch.templar.co.uk/.
[46]
J. Lofberg, “YALMIP: a toolbox for modeling and optimization in MATLAB,” in Proceedings of the 2004 IEEE International Conference on Robotics and Automation (IEEE Cat. No.04CH37508), Taipei, Taiwan, China, 2004, pp. 284289.
[47]
Gurobi Optimization. The fastest solver. [Online]. Available: https://www.gurobi.com.
CSEE Journal of Power and Energy Systems
Pages 548-558
Cite this article:
Wang Y, Wang X, Kuang Y, et al. Network-Constrained Energy Consumption Game for Dynamic Pricing Markets. CSEE Journal of Power and Energy Systems, 2022, 8(2): 548-558. https://doi.org/10.17775/CSEEJPES.2020.03310

803

Views

17

Downloads

1

Crossref

N/A

Web of Science

6

Scopus

0

CSCD

Altmetrics

Received: 14 July 2020
Revised: 15 September 2020
Accepted: 14 October 2020
Published: 20 November 2020
© 2020 CSEE
Return