State Estimation in Power Systems Under False Data Injection Attack Using Total Least Squares

This work considers a state estimation problem in modern power systems, e.g., smart grids. Due to the use of digital technology, the smart grids often encounter malicious data that is deliberately injected to attack their network operations. This kind of perturbation affects the electricity stabilit...

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Main Authors: Bamrung Tausiesakul, Krissada Asavaskulkiet, Chuttchaval Jeraputra, Ittiphong Leevongwat, Thamvarit Singhavilai, Supun Tiptipakorn
Format: Article
Language:English
Published: IEEE 2025-01-01
Series:IEEE Access
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Online Access:https://ieeexplore.ieee.org/document/10804763/
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author Bamrung Tausiesakul
Krissada Asavaskulkiet
Chuttchaval Jeraputra
Ittiphong Leevongwat
Thamvarit Singhavilai
Supun Tiptipakorn
author_facet Bamrung Tausiesakul
Krissada Asavaskulkiet
Chuttchaval Jeraputra
Ittiphong Leevongwat
Thamvarit Singhavilai
Supun Tiptipakorn
author_sort Bamrung Tausiesakul
collection DOAJ
description This work considers a state estimation problem in modern power systems, e.g., smart grids. Due to the use of digital technology, the smart grids often encounter malicious data that is deliberately injected to attack their network operations. This kind of perturbation affects the electricity stability to household users and eventually can lead to smart grid network failures. To monitor the operational health of the smart grids, the power system state estimation is a crucial task and becomes challenging when a false data injection occurs. In this work, two non-iterative computation methods based on total least squares are proposed for estimating the state vector from the measurement results contaminated by the additive noise and the malicious attack that can arise in the power transmission systems. To demonstrate the usability of the proposed algorithms and to illustrate their performance, numerical simulation is conducted taking into account two IEEE power system standards, such as IEEE 9-bus and 14-bus models. Signal-to-noise ratio (SNR), signal-and-attack-to-noise ratio (SANR), and phase-to-attack ratio are examples of the situational quality that can exist in the power distribution systems. These ratios are considered as the investigational aspects for comparing the performance of the proposed methods and corresponding low-rank approaches. Numerical results reveal that our proposed techniques consume much less computational time than two former works for all ranges of the SNR and the SANR. Regarding the estimation accuracy, for moderate and high regions of the SNR and the SANR, the two new methods provide significantly less root-mean-squared error and normalized bias norm than the two previous approaches. For the problem size solvability point of view, the traditional low-rank methods suffer from the trivial solution caused by too many unknown convex optimization variables due to a large number of time samples, whereas the proposed TLS-based algorithms can handle a large power distribution system with a large number of time samples.
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issn 2169-3536
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publishDate 2025-01-01
publisher IEEE
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spelling doaj-art-a46290a01bdd4fd5bb0273158f816c1e2025-01-03T00:01:48ZengIEEEIEEE Access2169-35362025-01-01131070108910.1109/ACCESS.2024.351932810804763State Estimation in Power Systems Under False Data Injection Attack Using Total Least SquaresBamrung Tausiesakul0https://orcid.org/0000-0002-9758-5986Krissada Asavaskulkiet1https://orcid.org/0000-0001-7866-0760Chuttchaval Jeraputra2https://orcid.org/0000-0001-6969-7115Ittiphong Leevongwat3https://orcid.org/0000-0002-1418-3069Thamvarit Singhavilai4https://orcid.org/0000-0002-4253-2051Supun Tiptipakorn5https://orcid.org/0009-0002-6242-1524Department of Electrical Engineering, Faculty of Engineering, Mahidol University, Phutthamonthon, Nakhon Pathom, ThailandDepartment of Electrical Engineering, Faculty of Engineering, Mahidol University, Phutthamonthon, Nakhon Pathom, ThailandDepartment of Electrical Engineering, Faculty of Engineering, Mahidol University, Phutthamonthon, Nakhon Pathom, ThailandDepartment of Electrical Engineering, Faculty of Engineering, Mahidol University, Phutthamonthon, Nakhon Pathom, ThailandDepartment of Electrical Engineering, Faculty of Engineering, Mahidol University, Phutthamonthon, Nakhon Pathom, ThailandDepartment of Electrical Engineering, Faculty of Engineering, Mahidol University, Phutthamonthon, Nakhon Pathom, ThailandThis work considers a state estimation problem in modern power systems, e.g., smart grids. Due to the use of digital technology, the smart grids often encounter malicious data that is deliberately injected to attack their network operations. This kind of perturbation affects the electricity stability to household users and eventually can lead to smart grid network failures. To monitor the operational health of the smart grids, the power system state estimation is a crucial task and becomes challenging when a false data injection occurs. In this work, two non-iterative computation methods based on total least squares are proposed for estimating the state vector from the measurement results contaminated by the additive noise and the malicious attack that can arise in the power transmission systems. To demonstrate the usability of the proposed algorithms and to illustrate their performance, numerical simulation is conducted taking into account two IEEE power system standards, such as IEEE 9-bus and 14-bus models. Signal-to-noise ratio (SNR), signal-and-attack-to-noise ratio (SANR), and phase-to-attack ratio are examples of the situational quality that can exist in the power distribution systems. These ratios are considered as the investigational aspects for comparing the performance of the proposed methods and corresponding low-rank approaches. Numerical results reveal that our proposed techniques consume much less computational time than two former works for all ranges of the SNR and the SANR. Regarding the estimation accuracy, for moderate and high regions of the SNR and the SANR, the two new methods provide significantly less root-mean-squared error and normalized bias norm than the two previous approaches. For the problem size solvability point of view, the traditional low-rank methods suffer from the trivial solution caused by too many unknown convex optimization variables due to a large number of time samples, whereas the proposed TLS-based algorithms can handle a large power distribution system with a large number of time samples.https://ieeexplore.ieee.org/document/10804763/Power system state estimationfalse data attackconvex optimizationtotal least squares
spellingShingle Bamrung Tausiesakul
Krissada Asavaskulkiet
Chuttchaval Jeraputra
Ittiphong Leevongwat
Thamvarit Singhavilai
Supun Tiptipakorn
State Estimation in Power Systems Under False Data Injection Attack Using Total Least Squares
IEEE Access
Power system state estimation
false data attack
convex optimization
total least squares
title State Estimation in Power Systems Under False Data Injection Attack Using Total Least Squares
title_full State Estimation in Power Systems Under False Data Injection Attack Using Total Least Squares
title_fullStr State Estimation in Power Systems Under False Data Injection Attack Using Total Least Squares
title_full_unstemmed State Estimation in Power Systems Under False Data Injection Attack Using Total Least Squares
title_short State Estimation in Power Systems Under False Data Injection Attack Using Total Least Squares
title_sort state estimation in power systems under false data injection attack using total least squares
topic Power system state estimation
false data attack
convex optimization
total least squares
url https://ieeexplore.ieee.org/document/10804763/
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AT krissadaasavaskulkiet stateestimationinpowersystemsunderfalsedatainjectionattackusingtotalleastsquares
AT chuttchavaljeraputra stateestimationinpowersystemsunderfalsedatainjectionattackusingtotalleastsquares
AT ittiphongleevongwat stateestimationinpowersystemsunderfalsedatainjectionattackusingtotalleastsquares
AT thamvaritsinghavilai stateestimationinpowersystemsunderfalsedatainjectionattackusingtotalleastsquares
AT supuntiptipakorn stateestimationinpowersystemsunderfalsedatainjectionattackusingtotalleastsquares