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Partitioning a complex power network into a number of sub-zones can help realize a "divide-and-conquer" management structure for the whole system, such as voltage and reactive power control, coherency identification, power system restoration, etc. Extensive partitioning methods have been proposed by defining various distances, applying different clustering methods, or formulating varying optimization models for one specific objective. However, a power network partition may serve two or more objectives, where a trade-off among these objectives is required. This paper proposes a novel weighted consensus clustering-based approach for bi-objective power network partition. By varying the weights of different partitions for different objectives, Pareto improvement can be explored based on the node-based and subset-based consensus clustering methods. Case studies on the IEEE 300-bus test system are conducted to verify the effectiveness and superiority of our proposed method.


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Consensus Clustering for Bi-objective Power Network Partition

Show Author's information Yi WangLuzian LebovitzKedi ZhengYao Zhou( )
Power Systems Laboratory, ETH Zurich, 8092 Zurich, Switzerland
Department of Electrical Engineering, Tsinghua University, Beijing 100084, China
School of Engineering, the University of Edinburgh, EH9 3FB, Edinburgh, UK

Abstract

Partitioning a complex power network into a number of sub-zones can help realize a "divide-and-conquer" management structure for the whole system, such as voltage and reactive power control, coherency identification, power system restoration, etc. Extensive partitioning methods have been proposed by defining various distances, applying different clustering methods, or formulating varying optimization models for one specific objective. However, a power network partition may serve two or more objectives, where a trade-off among these objectives is required. This paper proposes a novel weighted consensus clustering-based approach for bi-objective power network partition. By varying the weights of different partitions for different objectives, Pareto improvement can be explored based on the node-based and subset-based consensus clustering methods. Case studies on the IEEE 300-bus test system are conducted to verify the effectiveness and superiority of our proposed method.

Keywords: machine learning, Consensus clustering, network partition, bi-objective partition

References(31)

[1]
F. Wu, “Solution of large-scale networks by tearing,” IEEE Transactions on Circuits and Systems, vol. 23, no. 12, pp. 706–713, Dec. 1976.
[2]
G. Y. Xu and V. Vittal, “Slow coherency based cutset determination algorithm for large power systems,” IEEE Transactions on Power Systems, vol. 25, no. 2, pp. 877–884, May 2010.
[3]
H. Mehrjerdi, S. Lefebvre, M. Saad, and D. Asber, “A decentralized control of partitioned power networks for voltage regulation and prevention against disturbance propagation,” IEEE Transactions on Power Systems, vol. 28, no. 2, pp. 1461–1469, May 2013.
[4]
H. B. Sun, Q. L. Guo, B. M. Zhang, W. C. Wu, and B. Wang, “An adaptive zonedivision-based automatic voltage control system with applications in China,” IEEE Transactions on Power Systems, vol. 28, no. 2, pp. 1816–1828, May 2013.
[5]
Y. Y. Chai, L. Guo, C. S. Wang, Z. Z. Zhao, X. F. Du, and J. Pan, “Network partition and voltage coordination control for distribution networks with high penetration of distributed PV Units,” IEEE Transactions on Power Systems, vol. 33, no. 3, pp. 3396–3407, May 2018.
[6]
V. Alimisis and P. C. Taylor, “Zoning evaluation for improved coordinated automatic voltage control,” IEEE Transactions on Power Systems, vol. 30, no. 5, pp. 2736–2746, Sep. 2015.
[7]
J. J. Ding, Q. Zhang, S. J. Hu, Q. J. Wang, and Q. B. Ye, “Clusters partition and zonal voltage regulation for distribution networks with high penetration of PVs,” IET Generation, Transmission & Distribution, vol. 12, no. 22, pp. 6041–6051, Dec. 2018.
[8]
D. Cao, J. B. Zhao, W. H. Hu, F. Ding, Q. Huang, and Z. Chen, “Attention enabled multi-agent DRL for decentralized volt-VAR control of active distribution system using PV inverters and SVCs,” IEEE Transactions on Sustainable Energy, vol. 12, no. 3, pp. 1582–1592, Jul. 2021.
[9]
I. Kamwa, A. K. Pradhan, and G. Joos, “Automatic segmentation of large power systems into fuzzy coherent areas for dynamic vulnerability assessment,” IEEE Transactions on Power Systems, vol. 22, no. 4, pp. 1974–1985, Nov. 2007.
[10]
I. Kamwa, A. K. Pradhan, G. Joos, and S. R. Samantaray, “Fuzzy partitioning of a real power system for dynamic vulnerability assessment,” IEEE Transactions on Power Systems, vol. 24, no. 3, pp. 1356–1365, Aug. 2009.
[11]
C. Juarez, A. R. Messina, R. Castellanos, and G. Espinosa-Perez, “Characterization of multimachine system behavior using a hierarchical trajectory cluster analysis,” IEEE Transactions on Power Systems, vol. 26, no. 3, pp. 972–981, Aug. 2011.
[12]
L. Ding, F. M. Gonzalez-Longatt, P. Wall, and V. Terzija, “Two-step spectral clustering controlled islanding algorithm,” IEEE Transactions on Power Systems, vol. 28, no. 1, pp. 75–84, Feb. 2013.
[13]
L. Ding, Z. Ma, P. Wall, and V. Terzija, “Graph spectra based controlled islanding for low inertia power systems,” IEEE Transactions on Power Delivery, vol. 32, no. 1, pp. 302–309, Feb. 2017.
[14]
J. Quirós-Tortós, R. Sánchez-García, J. Brodzki, J. Bialek, and V. Terzija, “Constrained spectral clustering-based methodology for intentional controlled islanding of large-scale power systems,” IET Generation, Transmission & Distribution, vol. 9, no. 1, pp. 31–42, Jan. 2015.
[15]
F. Raak, Y. Susuki, and T. Hikihara, “Data-driven partitioning of power networks via koopman mode analysis,” IEEE Transactions on Power Systems, vol. 31, no. 4, pp. 2799–2808, Jul. 2016.
[16]
J. Li, C. C. Liu, and K. P. Schneider, “Controlled Partitioning of a power network considering real and reactive power balance,” IEEE Transactions on Smart Grid, vol. 1, no. 3, pp. 261–269, Dec. 2010.
[17]
J. Quirós-Tortós, P. Wall, L. Ding, and V. Terzija, “Determination of sectionalising strategies for parallel power system restoration: a spectral clustering-based methodology,” Electric Power Systems Research, vol. 116, pp. 381–390, Nov. 2014.
[18]
L. Sun, C. Zhang, Z. Z. Lin, F. S. Wen, Y. S. Xue, A. Salam, and S. P. Ang, “Network partitioning strategy for parallel power system restoration,” IET Generation, Transmission & Distribution, vol. 10, no. 8, pp. 1883–1892, May 2016.
[19]
N. Ganganath, J. V. Wang, X. Z. Xu, C. T. Cheng, and C. K. Tse, “Agglomerative clustering-based network partitioning for parallel power system restoration,” IEEE Transactions on Industrial Informatics, vol. 14, no. 8, pp. 3325–3333, Aug. 2018.
[20]
I. Tyuryukanov, M. Popov, M. A. M. M. van der Meijden, and V. Terzija, “Discovering clusters in power networks from orthogonal structure of spectral embedding,” IEEE Transactions on Power Systems, vol. 33, no. 6, pp. 6441–6451, Nov. 2018.
[21]
P. Cuffe and A. Keane, “Visualizing the electrical structure of power systems,” IEEE Systems Journal, vol. 11, no. 3, pp. 1810–1821, Sep. 2017.
[22]
E. Cotilla-Sanchez, P. D. H. Hines, C. Barrows, S. Blumsack, and M. Patel, “Multi-attribute partitioning of power networks based on electrical distance,” IEEE Transactions on Power Systems, vol. 28, no. 4, pp. 4979–4987, Nov. 2013.
[23]
R. J. Sánchez-García, M. Fennelly, S. Norris, N. Wright, G. Niblo, J. Brodzki, and J. W. Bialek, “Hierarchical spectral clustering of power grids,” IEEE Transactions on Power Systems, vol. 29, no. 5, pp. 2229–2237, Sep. 2014.
[24]
J. Y. Guo, G. Hug, and O. K. Tonguz, “Intelligent partitioning in distributed optimization of electric power systems,” IEEE Transactions on Smart Grid, vol. 7, no. 3, pp. 1249–1258, May 2016.
[25]
Y. W. Jia and Z. Xu, “A direct solution to biobjective partitioning problem in electric power networks,” IEEE Transactions on Power Systems, vol. 32, no. 3, pp. 2481–2483, May 2017.
[26]
Y. Kim, J. H. Kim, and K. H. Han, “Quantum-inspired multiobjective evolutionary algorithm for multiobjective 0/1 knapsack problems,” in 2006 IEEE International Conference on Evolutionary Computation, 2006, pp. 2601–2606.
[27]
Y. W. Jia, C. S. Lai, Z. Xu, S. J. Chai, and K. P. Wong, “Adaptive partitioning approach to self-sustained smart grid,” IET Generation, Transmission & Distribution, vol. 11, no. 2, pp. 485–494, Jan. 2017.
[28]
K. D. Zheng, Y. Wang, Q. X. Chen, and D. Lu, “Multi-objective power network partition: finding the Pareto frontier,” in 2019 IEEE Power & Energy Society General Meeting (PESGM), 2019, pp. 1–5.
[29]
N. Nguyen and R. Caruana, “Consensus clusterings,” in Seventh IEEE international conference on data mining (ICDM 2007), 2007, pp. 607–612.
[30]
A. V. Lotov and K. Miettinen, “Visualizing the Pareto frontier,” in Multiobjective Optimization: Interactive and Evolutionary Approaches, J. Branke, K. Deb, K. Miettinen, and R. Słowiński, Eds. Berlin, Heidelberg: Springer, 2008, pp. 213–243.
DOI
[31]
M. Adibi. (1993, Aug.). IEEE 300 bus power flow test case. University of Washington. [Online]. Available: http://labs.ece.uw.edu/pstca/pf300/pg_tca300bus.htm.
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Received: 29 November 2020
Revised: 15 February 2021
Accepted: 04 March 2021
Published: 10 September 2021
Issue date: July 2022

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© 2020 CSEE

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Acknowledgements

This work was supported in part by the National Key R&D Program of China (No. 2016YFB0900100) and the Major Smart Grid Joint Project of National Natural Science Foundation of China and State Grid (No. U1766212).

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