Comparison of Decomposition Methods in Solving the Voltage and Reactive Power Control Problem in Multi-Area Power Systems

Articles in Press

Document Type : Original Article

Authors

Faculty of Electrical Engineering, Shahid Rajaee Teacher Training University, Tehran, Iran.

Abstract

Due to the limitations that exist in the centralized control method, nowadays mainly distributed methods are used to solve the problem of optimal power flow in multi-area power systems. In distributed methods, each area solves its optimization problem by coordinating the neighboring areas, but completely independently, that is, the optimization problem is divided into several sub-problems. In this article, three decomposition methods, namely the adjustment at the dummy boundary bus method, the exchange of adjacent boundary variables method and the coordination method by the power of the tie line, to solve the problem of control of voltage and reactive power in multi-area power systems, are introduced and compared with each other and with the centralized method. The common point of these three methods is that they all use the Lagrange relaxation method to remove complex constraints. Examining the simulation results shows that the adjustment at the dummy boundary bus requires more iterations than the other two methods to achieve convergence, but the results of this method are closer to the results of the centralized solution method, its means, this method has lower sub-optimally. Also, unlike the centralized method that requires a lot of information exchange, the decomposition methods are less dependent on the exchange of information between areas, and among them, the method of adjustment at the dummy boundary bus requires the least exchange.

Keywords

Main Subjects

References

[1]  O. Alizadeh Mousavi and R. Cherkaoui, "On the inter-area optimal voltage and reactive power control",  International Journal of Electrical Power & Energy Systems, vol. 52, pp.1-13, 2013.
‎[2] A. Rabiei‎,‎ M. Mohammadi‎,‎ "Probabilistic Optimal Power Fow Subject to Transient Stability: A Stochastic Programming Approach", Tabriz Journal of Electrical Engineering, Vol. 46. No. 1,‎ Pages‎ 183-169,‎ 2016.‎
‎‎[3] A. Rabiei‎,‎ E. Houshmand,‎ S. Nikkhah. "Using Information Gap-Based Decision Theory to Solve the Problem of Optimal Power Flow Subject to Voltage Stability in the Presence of Wind Farms", Tabriz Journal of Electrical Engineering, Vol. 46. No. 4,‎ Pages‎ 109-122,‎ 2016.‎
[4]  Y. Phulpin, M. Begovic and M. Petit, "Impact of non-Coordinated MVAr Scheduling Strategies in Multi Area Power Systems", in IEEE Power Engineering Society General Meeting, Florida, 2007.
[5]  A. Zhang, H. Li, F. Liu and H. Yang, "A coordinated voltage/reactive power control method for multi-TSO power systems", International Journal of Electrical Power & Energy Systems, vol. 43, pp. 20-28, 2012.
[6]  Liu, Zhi-wen, and Ming-bo Liu. "Distributed reactive power optimization computing in multi-area power systems using ward equivalent", 2010 International Conference on Electrical and Control Engineering. IEEE, 2010.‏
[7]  Y. Phulpin, M. Begovic and M. Petit, "External Netwrok Modeling for MVAr Scheduling in Multi Area Power Systems", in PowerTech, Lausanne, 2007.
[8] Y. Phulpin, M. Begovic, M. Petit and J. Heyberger, "Evaluation of network equivalents for voltage optimization in multi-area power systems", IEEE Transactions on Power Systems, vol. 24, no. 2, pp. 729-743, 2009.
[9]­  Liu, Zhi-wen, Ming-bo Liu, and Wen-bo Xia. "Comparison of multi-area reactive power optimization parallel algorithm based on Ward and REI equivalent",  Energy Procedia vol.14, pp. 1580-1589, 2012.‏
[10]  M. Arnold, S. Knopfli and G. Andersson, "Improvement of OPF Decomposition Methods Applied to Multi-Area Power Systems", in PowerTech, Lausanne, pp. 1308-1313,  2007
[11]  W. Yan, L. Wen, W. Li, C. Chung and K. Wong, "Decomposition–coordination interior point method and its application to multi-area optimal reactive power flow", International Journal of Electric Power Energy Systems, vol. 33, pp. 55-60, 2011.
[12] Lu,Wentian, et al. "Incremental-Oriented ADMM for Distributed Optimal Power Flow With Discrete Variables in Distribution Networks", IEEE Transactions on Smart Grid , vol. 10, no. 6, pp. 6320-6331, 2019.
[13]  Shen, Zhijun, et al. "Coordinated decentralized reactive power optimization of multi-area power systems with discrete variables based on the alternating direction method of multipliers and Ward equivalence", International Journal of Electrical Power & Energy Systems , vol. 106, pp. 266-273, 2019.
[14]  Y. Phulpin, "Coordination of Reactive Power Scheduling in a Multi-Area Power System Operated by Independent Utilities", PhD Thesis, The University of Georgia Institue of Technology, 2009.
[15]  M. Arnold and S. Knöpfli, "Multi-Area Control in Electric Power Systems", Master's Thesis, The University of  ETH Zürich, 2006.
[16]  Y. Phulpin, M. Begovic, M. Petit and D. Ernst, "A fair method for centralized optimization of multi TSO power system", International Journal of Electric Power Energy Systems, vol. 31, pp. 482–488, 2009.
[17] Y. Phulpin, M. Begovic, M. Petit and D. Ernst, "On the fairness of centralized decision making strategies in multi TSO power systems", in 16th Power Systems Computation Conference (PSCC), Glasgow, 2008.
[18]  Phulpin, Yannick, et al. "On the fairness of centralised decision-making strategies in multi-TSO power systems",  Power Systems Computation Conference, PSCC08. 2008.
[19]  Granada, Mauricio, et al. "Multi-areas optimal reactive power flow", 2008 IEEE/PES Transmission and Distribution Conference and Exposition: Latin America. IEEE, 2008.‏
[20]  Zhao, Jinquan, Yuejin Ji, and Zemei Dai. "A distributed reactive power optimization method for multi-area interconnected power grid", 2014 IEEE Innovative Smart Grid Technologies-Asia (ISGT ASIA). IEEE, 2014.‏
[21]  Y. Phulpin, M. Begovic, M. Petit and D. Ernst, "Decentralized reactive power dispatch for a time varying multi TSO system",  in Hawaii International Conference on Systems Science, 2009.
[22] G. Hug-Glanzmann and G. Andersson, "Decentralized Optimal Power Flow Control for Overlapping Areas in Power Systems", IEEE Transactions on Power Systems, vol. 24, no.1, pp. 327-336, 2009.
[23]  Phulpin, Yannick, M. Begovic, and Marc Petit. "External Network modeling for MVAr scheduling in multi area power systems",  2007 IEEE Lausanne Power Tech. IEEE, 2007.‏
[24]  Lu, Wentian, et al. "Fully decentralized optimal power flow of multi-area interconnected power systems based on distributed interior point method",  IEEE Transactions on Power Systems, vol. 33, no.1, pp.  901-910, 2017
[25]  G.-Y. Cao and D. Hill, "Power system voltage small-disturbance stability studies based on the power flow equation", IET Generation, Transmission & Distribution, vol. 4, no. 7, pp.873 - 882, 2010.
[26]  C. W. Taylor, "Power system voltage stability", McGraw-Hill Ryerson, vol. 29, 1994.
[27]  H. Song, B. Lee , S.-h. Kwon and V. Ajjarapu, "Reactive Reserve-Based Contingency Constrained Optimal Power Flow (RCCOPF) for Enhancement of Voltage Stability margins", vol. 18, no. 4, pp. 1538-1546, 2003
 [28]  M. Granada, M. Rider, J. Mantovani and M. Shahidehpour, "A decentralized approach for optimal reactive power dispatch using a Lagrangian decomposition method", Electric Power Systems Research, vol. 89, pp. 148-156, 2012.
 [29]  P. Biskas and A. Bakirtzis, "Decentralised OPF of large multiarea power systems," IEE Proceeding Generation, Transmission and Distribution, vol. 153, pp. 99-105, 2006.
[30] Kim, Balho H., and Ross Baldick. "Coarse-grained distributed optimal power flow." IEEE Transactions on Power Systems, vol. 12.2, pp.932-939, 1997.‏
Tabriz Journal of Electrical Engineering

Articles in Press, Corrected Proof
Available Online from 28 September 2024

Files

Share

How to cite

Statistics