Abstract
This paper presents a novel approach for bad data correction in state estimation (SE) for three-phase distribution systems. Based on an optimization model, a SE technique is presented considering branch currents as state variables to be estimated in regular time intervals. In this work, the presence of gross errors is detected by a comparative analysis of the objective function with a threshold value determined by Monte Carlo simulations assuming different load scenarios and Gaussian aleatory errors associated with the measurements gathered from the network. A novel index is proposed for identifying the corrupted measurements based on their corresponding largest residuals. For bad data correction, a new procedure is presented based on statistical analysis of the measurements variation along the time. Computational simulations are carried out using the IEEE 33-bus test system in order to prove the efficiency of the proposed methodology. The main contribution of this paper is the development of a gross error correction technique for SE assuming a limited number of phasor measurement units allocated along the feeders considering all the peculiarities of unbalanced distribution networks. This feature ensures that estimation errors lower than 1% are provided for network operators eliminating the effect of bad data in the SE process.
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References
Schweppe FC, Wildes J (1970) Power system static-state estimation, part I, II and III. IEEE Trans Power Appar Syst 1:120–135
Menke J-H, Bornhorst N, Braun M (2019) Distribution system monitoring for smart power grids with distributed generation using artificial neural networks. Int J Electric Power Energy Syst 113:472–480
Basumallik S, Ma R, Eftekharnejad S (2019) Packet-data anomaly detection in pmu-based state estimator using convolutional neural network. Int J Electric Power Energy Syst 107:690–702
Pesteh S, Moayyed H, Miranda V, Pereira J, Freitas V, Costa AS, London J Jr (2019) A new interior point solver with generalized correntropy for multiple gross error suppression in state estimation. Electric Power Syst Res 176:105937
Zhao J, Mili L (2017) Power system robust decentralized dynamic state estimation based on multiple hypothesis testing. IEEE Trans Power Syst 33(4):4553–4562
Raposo AA, Rodrigues AB, da Silva MG (2020) Robust meter placement for state estimation considering distribution network reconfiguration for annual energy loss reduction. Electric Power Syst Res 182:106233
Wang G, Giannakis GB, Chen J (2019) Robust and scalable power system state estimation via composite optimization. IEEE Trans Smart Grid 10(6):6137–6147
Yang Q, Sadeghi A, Wang G, Giannakis GB, Sun J (2020) Robust psse using graph neural networks for data-driven and topology-aware priors. arXiv preprint arXiv:2003.01667
Baran ME, Kelley AW (1995) A branch-current-based state estimation method for distribution systems. IEEE Trans Power Syst 10(1):483–491
Primadianto A, Lu C-N (2017) A review on distribution system state estimation. IEEE Trans Power Syst 32(5):3875–3883
Zargar B, Angioni A, Ponci F, Monti A (2020) Multi-area parallel data-driven three-phase distribution system state estimation using synchrophasor measurements. IEEE Trans Instrum Meas 69:6186–6202
Majidi M, Etezadi-Amoli M, Livani H (2017) Distribution system state estimation using compressive sensing. Int J Electric Power Energy Syst 88:175–186
Ashok A, Govindarasu M, Ajjarapu V (2018) Online detection of stealthy false data injection attacks in power system state estimation. IEEE Trans Smart Grid 9(3):1636–1646
Braunstein SH, Bretas NG, Rossoni A, Bretas A (2015) Bad data analysis in distribution state estimation considering load models. In: Power and energy society general meeting. IEEE
Angioni A, Shang J, Ponci F, Monti A (2016) Real-time monitoring of distribution system based on state estimation. IEEE Trans Instrum Meas 65(10):2234–2243
Bretas A, Bretas N, Braunstein S, Rossoni A, Trevizan R (2017) Multiple gross errors detection, identification and correction in three-phase distribution systems wls state estimation: a per-phase measurement error approach. Electric Power Syst Res 151:174–185
Majumdar A, Pal BC (2016) Bad data detection in the context of leverage point attacks in modern power networks. IEEE Trans Smart Grid 9(3):2042–2054
Krsman VD, Sarić AT (2017) Bad area detection and whitening transformation-based identification in three-phase distribution state estimation. IET Gen Transmission Distrib 11(9):2351–2361
Zhang T, Yuan P, Du Y, Zhang W, Chen J (2020) Robust distributed state estimation of active distribution networks considering communication failures. Int J Electric Power Energy Syst 118:105732
Mestav KR, Luengo-Rozas J, Tong L (2019) Bayesian state estimation for unobservable distribution systems via deep learning. IEEE Trans Power Syst 34(6):4910–4920
Cheng G, Song S, Lin Y, Huang Q, Lin X, Wang F (2019) Enhanced state estimation and bad data identification in active power distribution networks using photovoltaic power forecasting. Electric Power Syst Res 177:105974
Majidi M, Etezadi-Amoli M, Livani H, Fadali M (2016) Distribution systems state estimation using sparsified voltage profile. Electric Power Syst Res 136:69–78
de Oliveira BC, Pereira JL, Alves GO, Melo ID, de Souza MA, Garcia PA (2018) Decentralized three-phase distribution system static state estimation based on phasor measurement units. Electric Power Syst Res 160:327–336
de Souza MA, Pereira JL, Alves GO, de Oliveira BC, Melo ID, Garcia PA (2020) Detection and identification of energy theft in advanced metering infrastructures. Electric Power Syst Res 182:106258
Abur A, Expósito AG (2004) Power system state estimation: theory and implementation. CRC Press, Boca Raton
Garcia PA, Pereira JLR, Carneiro S, da Costa VM, Martins N (2000) Three-phase power flow calculations using the current injection method. IEEE Trans Power Syst 15(2):508–514
Cavraro G, Arghandeh R (2017) Power distribution network topology detection with time-series signature verification method. IEEE Trans Power Syst 33(4):3500–3509
Soltani Z, Khorsand M (2021) Real-time topology detection and state estimation in distribution systems using micro-pmu and smart meter data. arXiv preprint arXiv:2102.09706
Yaïci W, Longo M, Entchev E, Foiadelli F (2017) Simulation study on the effect of reduced inputs of artificial neural networks on the predictive performance of the solar energy system. Sustainability 9(8):1382
Acknowledgements
The authors would like to thank Jose Luiz Rezende Pereira (in memorium) for all his precious contribution to this work.
This project is funded by TBE group companies from the R&D ANEEL project, “PD-02651-0016 / 2018 - Development of a power quality monitoring and a decision taking system for transmission lines”. The authors would like to thank CAPES, CNPq, FAPEMIG and INERGE for supporting this research.
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The authors would like to thank Jose Luiz Rezende Pereira (in memorium) for all his precious contribution to this work.
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de Oliveira, B.C., Melo, I.D. & Souza, M.A. Bad data detection, identification and correction in distribution system state estimation based on PMUs. Electr Eng 104, 1573–1589 (2022). https://doi.org/10.1007/s00202-021-01406-2
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DOI: https://doi.org/10.1007/s00202-021-01406-2