Robust and Fast State Estimation for Poorly-Observable Low Voltage Distribution Networks Based on the Kalman Filter Algorithm

This paper presents a novel approach for the state estimation of poorly-observable low voltage distribution networks, characterized by intermittent and erroneous measurements. The developed state estimation algorithm is based on the Extended Kalman filter, where we have modified the execution of the...

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Main Authors: Mitja Antončič, Igor Papič, Boštjan Blažič
Format: Article
Language:English
Published: MDPI AG 2019-11-01
Series:Energies
Subjects:
Online Access:https://www.mdpi.com/1996-1073/12/23/4457
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author Mitja Antončič
Igor Papič
Boštjan Blažič
author_facet Mitja Antončič
Igor Papič
Boštjan Blažič
author_sort Mitja Antončič
collection DOAJ
description This paper presents a novel approach for the state estimation of poorly-observable low voltage distribution networks, characterized by intermittent and erroneous measurements. The developed state estimation algorithm is based on the Extended Kalman filter, where we have modified the execution of the filtering process. Namely, we have fixed the Kalman gain and Jacobian matrices to constant matrices; their values change only after a larger disturbance in the network. This allows for a fast and robust estimation of the network state. The performance of the proposed state-estimation algorithm is validated by means of simulations of an actual low-voltage network with actual field measurement data. Two different cases are presented. The results of the developed state estimator are compared to a classical estimator based on the weighted least squares method. The comparison shows that the developed state estimator outperforms the classical one in terms of calculation speed and, in case of spurious measurements errors, also in terms of accuracy.
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spelling doaj.art-3692ed86a79b45179dd5bb6601b000ed2022-12-22T02:55:48ZengMDPI AGEnergies1996-10732019-11-011223445710.3390/en12234457en12234457Robust and Fast State Estimation for Poorly-Observable Low Voltage Distribution Networks Based on the Kalman Filter AlgorithmMitja Antončič0Igor Papič1Boštjan Blažič2Faculty of Electrical Engineering, University of Ljubljana, Tržaška 25, 1000 Ljubljana, SloveniaFaculty of Electrical Engineering, University of Ljubljana, Tržaška 25, 1000 Ljubljana, SloveniaFaculty of Electrical Engineering, University of Ljubljana, Tržaška 25, 1000 Ljubljana, SloveniaThis paper presents a novel approach for the state estimation of poorly-observable low voltage distribution networks, characterized by intermittent and erroneous measurements. The developed state estimation algorithm is based on the Extended Kalman filter, where we have modified the execution of the filtering process. Namely, we have fixed the Kalman gain and Jacobian matrices to constant matrices; their values change only after a larger disturbance in the network. This allows for a fast and robust estimation of the network state. The performance of the proposed state-estimation algorithm is validated by means of simulations of an actual low-voltage network with actual field measurement data. Two different cases are presented. The results of the developed state estimator are compared to a classical estimator based on the weighted least squares method. The comparison shows that the developed state estimator outperforms the classical one in terms of calculation speed and, in case of spurious measurements errors, also in terms of accuracy.https://www.mdpi.com/1996-1073/12/23/4457state estimationlow voltagepoor observabilitykalmanforecast-aided state estimatorweighted least squareslow-voltage state estimation
spellingShingle Mitja Antončič
Igor Papič
Boštjan Blažič
Robust and Fast State Estimation for Poorly-Observable Low Voltage Distribution Networks Based on the Kalman Filter Algorithm
Energies
state estimation
low voltage
poor observability
kalman
forecast-aided state estimator
weighted least squares
low-voltage state estimation
title Robust and Fast State Estimation for Poorly-Observable Low Voltage Distribution Networks Based on the Kalman Filter Algorithm
title_full Robust and Fast State Estimation for Poorly-Observable Low Voltage Distribution Networks Based on the Kalman Filter Algorithm
title_fullStr Robust and Fast State Estimation for Poorly-Observable Low Voltage Distribution Networks Based on the Kalman Filter Algorithm
title_full_unstemmed Robust and Fast State Estimation for Poorly-Observable Low Voltage Distribution Networks Based on the Kalman Filter Algorithm
title_short Robust and Fast State Estimation for Poorly-Observable Low Voltage Distribution Networks Based on the Kalman Filter Algorithm
title_sort robust and fast state estimation for poorly observable low voltage distribution networks based on the kalman filter algorithm
topic state estimation
low voltage
poor observability
kalman
forecast-aided state estimator
weighted least squares
low-voltage state estimation
url https://www.mdpi.com/1996-1073/12/23/4457
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AT bostjanblazic robustandfaststateestimationforpoorlyobservablelowvoltagedistributionnetworksbasedonthekalmanfilteralgorithm