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Article | Open Access

Topology and admittance estimation: Precision limits and algorithms

Ning Zhang1Yuxiao Liu1( )Fangyuan Si2Qingchun Hou1Audun Botterud3Chongqing Kang1
Department of Electrical Engineering, Tsinghua University, Beijing 100084, China
School of Electrical Engineering, Beijing Jiaotong University, Beijing 100044, China
Laboratory of Information and Decision Systems, Massachusetts Institute of Technology, Cambridge, MA 02139 USA
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Abstract

Distribution grid topology and admittance information are essential for system planning, operation, and protection. In many distribution grids, missing or inaccurate topology and admittance data call for efficient estimation methods. However, measurement data may be insufficient or contaminated with large noise, which will fundamentally limit the estimation accuracy. This work explores the theoretical precision limits of the topology and admittance estimation (TAE) problem with different measurement devices, noise levels, and numbers of measurements. On this basis, we propose a conservative progressive self-adaptive (CPS) algorithm to estimate the topology and admittance. The results on IEEE 33 and 141-bus systems validate that the proposed CPS method can approach the theoretical precision limits under various measurement settings.

References

[1]

Muruganantham, B., Gnanadass, R., Padhy, N. P. (2017). Challenges with renewable energy sources and storage in practical distribution systems. Renewable and Sustainable Energy Reviews, 73: 125–134.

[2]
Bolognani, S., Bof, N., Michelotti, D., Muraro, R., Schenato, L. (2013). Identification of power distribution network topology via voltage correlation analysis. In: Proceedings of the 52nd IEEE Conference on Decision and Control, Firenze, Italy.
[3]

Weng, Y., Liao, Y., Rajagopal, R. (2017). Distributed energy resources topology identification via graphical modeling. IEEE Transactions on Power Systems, 32: 2682–2694.

[4]
Deka, D., Backhaus, S., Chertkov, M. (2016). Estimating distribution grid topologies: A graphical learning based approach. In: Proceedings of the 2016 Power Systems Computation Conference (PSCC), Genoa, Italy.
[5]

Yu, J., Weng, Y., Rajagopal, R. (2018). PaToPa: A data-driven parameter and topology joint estimation framework in distribution grids. IEEE Transactions on Power Systems, 33: 4335–4347.

[6]

Yu, J., Weng, Y., Rajagopal, R. (2019). PaToPaEM: A data-driven parameter and topology joint estimation framework for time-varying system in distribution grids. IEEE Transactions on Power Systems, 34: 1682–1692.

[7]

Zhang, J., Wang, Y., Weng, Y., Zhang, N. (2020). Topology identification and line parameter estimation for non-PMU distribution network: A numerical method. IEEE Transactions on Smart Grid, 11: 4440–4453.

[8]

Moffat, K., Bariya, M., Von Meier, A. (2020). Unsupervised impedance and topology estimation of distribution networks—Limitations and tools. IEEE Transactions on Smart Grid, 11: 846–856.

[9]

Li, T., Werner, L., Low, S. H. (2020). Learning graphs from linear measurements: Fundamental trade-offs and applications. IEEE Transactions on Signal and Information Processing Over Networks, 6: 163–178.

[10]

Deka, D., Chertkov, M., Backhaus, S. (2020). Joint estimation of topology and injection statistics in distribution grids with missing nodes. IEEE Transactions on Control of Network Systems, 7: 1391–1403.

[11]

Park, S., Deka, D., Backhaus, S., Chertkov, M. (2020). Learning with end-users in distribution grids: Topology and parameter estimation. IEEE Transactions on Control of Network Systems, 7: 1428–1440.

[12]
Miao, X., Ilic, M., Wu, X., Munz, U. (2019). Distribution grid admittance estimation with limited non-synchronized measurements. In: Proceedings of the 2019 IEEE Power & Energy Society General Meeting (PESGM), Atlanta, GA, USA.
[13]

Zhao, J., Li, L., Xu, Z., Wang, X., Wang, H., Shao, X. (2020). Full-scale distribution system topology identification using Markov random field. IEEE Transactions on Smart Grid, 11: 4714–4726.

[14]

Xu, H., Dominguez-Garcia, A. D., Sauer, P. W. (2019). Data-driven coordination of distributed energy resources for active power provision. IEEE Transactions on Power Systems, 34: 3047–3058.

[15]

Sandraz, J., Macwan, R., Diaz-Aguilo, M., McClelland, J., de Leon, F., Czarkowski, D., Comack, C. (2014). Energy and economic impacts of the application of CVR in heavily meshed secondary distribution networks. IEEE Transactions on Power Delivery, 29: 1692–1700.

[16]

Bhela, S., Kekatos, V., Veeramachaneni, S. (2018). Enhancing observability in distribution grids using smart meter data. IEEE Transactions on Smart Grid, 9: 5953–5961.

[17]

Guo, Y., Zhang, B., Wu, W., Guo, Q., Sun, H. (2013). Solvability and solutions for bus-type extended load flow. International Journal of Electrical Power & Energy Systems, 51: 89–97.

[18]

Bhela, S., Kekatos, V., Veeramachaneni, S. (2019). Smart inverter grid probing for learning loads: Part I—Identifiability analysis. IEEE Transactions on Power Systems, 34: 3527–3536.

[19]
Kekatos, V., Vlahos, E., Ampeliotis, D., Giannakis, G. B., Berberidis, K. (2013). A decentralized approach to generalized power system state estimation. In: Proceedings of the 2013 5th IEEE International Workshop on Computational Advances in Multi-Sensor Adaptive Processing (CAMSAP), St. Martin, France.
[20]

Grotas, S., Yakoby, Y., Gera, I., Routtenberg, T. (2019). Power systems topology and state estimation by graph blind source separation. IEEE Transactions on Signal Processing, 67: 2036–2051.

[21]
Kay, S. M. (1993). Fundamentals of statistical signal processing: Estimation theory. Upper Saddle River, NJ, USA: Prentice-Hall, Inc.
[22]
A. Abur and A. G. Exposito, Power system state estimation: theory and implementation. CRC press, 2004.
[23]

Liserre, M., Blaabjerg, F., Teodorescu, R. (2007). Grid impedance estimation via excitation of $LCL$-filter resonance. IEEE Transactions on Industry Applications, 43: 1401–1407.

[24]

Cavraro, G., Kekatos, V. (2019). Inverter probing for power distribution network topology processing. IEEE Transactions on Control of Network Systems, 6: 980–992.

[25]
Miao, X., Wu, X., Munz, U., Ilic, M. (2019). Multi-layered grid admittance matrix estimation for electric power systems with partial measurements. In: Proceedings of the 2019 American Control Conference (ACC), Philadelphia, PA, USA.
[26]

Wang, G., Zamzam, A. S., Giannakis, G. B., Sidiropoulos, N. D. (2018). Power system state estimation via feasible point pursuit: Algorithms and Cramér-Rao bound. IEEE Transactions on Signal Processing, 66: 1649–1658.

[27]

Ghasemi Damavandi, M., Krishnamurthy, V., Marti, J. R. (2015). Robust meter placement for state estimation in active distribution systems. IEEE Transactions on Smart Grid, 6: 1972–1982.

[28]

Xygkis, T. C., Korres, G. N., Manousakis, N. M. (2018). Fisher information-based meter placement in distribution grids via the D-optimal experimental design. IEEE Transactions on Smart Grid, 9: 1452–1461.

[29]
Boyd, S., Vandenberghe, L. (2004). Convex Optimization. Cambridge, UK: Cambridge University Press.
[30]
Kingma, D. P., Ba, J. (2014). Adam: A method for stochastic optimization. arXiv Print, 1412.6980.
[31]
Ben-Israel, A., Greville, T. N. (2003). Generalized Inverses: Theory and applications. New York, NY: Springer.
[32]

Armijo, L. (1966). Minimization of functions having lipschitz continuous first partial derivatives. Pacific Journal of mathematics, 16: 1–3.

[33]
CER (2012). CER Smart Metering Project-Electricity Customer Behaviour Trial, 2009–2010. Commission for Energy Regulation (CER), Dublin, Ireland. Available at https://www.ucd.ie/issda/data/commissionforenergyregulationcer/.
[34]

Zimmerman, R. D., Murillo-Sanchez, C. E., Thomas, R. J. (2011). MATPOWER: Steady-state operations, planning, and analysis tools for power systems research and education. IEEE Transactions on Power Systems, 26: 12–19.

[35]

Liu, Y., Zhang, N., Wang, Y., Yang, J., Kang, C. (2019). Data-driven power flow linearization: A regression approach. IEEE Transactions on Smart Grid, 10: 2569–2580.

[36]

Baran, M. E., Wu, F. F. (1989). Network reconfiguration in distribution systems for loss reduction and load balancing. IEEE Power Engineering Review, 9: 101–102.

[37]

Khodr, H. M., Olsina, F. G., De Oliveira-De Jesus, P. M., Yusta, J. M. (2008). Maximum savings approach for location and sizing of capacitors in distribution systems. Electric Power Systems Research, 78: 1192–1203.

iEnergy
Pages 297-307
Cite this article:
Zhang N, Liu Y, Si F, et al. Topology and admittance estimation: Precision limits and algorithms. iEnergy, 2023, 2(4): 297-307. https://doi.org/10.23919/IEN.2023.0035

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Received: 10 July 2023
Revised: 23 September 2023
Accepted: 29 October 2023
Published: 30 November 2023
© The author(s) 2023.

This is an open access article under the CC BY license (http://creativecommons.org/licenses/by/4.0/).

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