A Method for Modeling Time Delay-Related Measurement Errors, Applicable in Power and Energy Monitoring and in Fault Detection Algorithms for Energy Grids

This paper presents a proposed error model for the signal errors resulting from delays in the measurement chain. The analysis focuses on the uncertainty budget of the input quantities in the digital signal-processing algorithm, examining the influence of delays in the analog-to-digital processing st...

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Main Authors: Marian Kampik, Łukasz Dróżdż, Jerzy Roj
Format: Article
Language:English
Published: MDPI AG 2025-07-01
Series:Energies
Subjects:
Online Access:https://www.mdpi.com/1996-1073/18/13/3524
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author Marian Kampik
Łukasz Dróżdż
Jerzy Roj
author_facet Marian Kampik
Łukasz Dróżdż
Jerzy Roj
author_sort Marian Kampik
collection DOAJ
description This paper presents a proposed error model for the signal errors resulting from delays in the measurement chain. The analysis focuses on the uncertainty budget of the input quantities in the digital signal-processing algorithm, examining the influence of delays in the analog-to-digital processing stage on the uncertainty of these quantities. A classification of delays, based on their properties and the nature of the error signal they generate, is proposed. In addition to the mathematical model and its verification through the Monte Carlo method, the paper discusses potential applications of the proposed analysis method for selected implementations of measurement chains. This method can be utilized for power and energy measurement, power grid fault detection, and the identification of short circuits, among other applications.
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series Energies
spelling doaj-art-baaeaba369d944bca99ce8bb53f9c1fb2025-08-20T02:35:47ZengMDPI AGEnergies1996-10732025-07-011813352410.3390/en18133524A Method for Modeling Time Delay-Related Measurement Errors, Applicable in Power and Energy Monitoring and in Fault Detection Algorithms for Energy GridsMarian Kampik0Łukasz Dróżdż1Jerzy Roj2Department of Measurement Science, Electronics and Control, Silesian University of Technology, ul. Akademicka 10, 44-100 Gliwice, PolandDepartment of Measurement Science, Electronics and Control, Silesian University of Technology, ul. Akademicka 10, 44-100 Gliwice, PolandDepartment of Measurement Science, Electronics and Control, Silesian University of Technology, ul. Akademicka 10, 44-100 Gliwice, PolandThis paper presents a proposed error model for the signal errors resulting from delays in the measurement chain. The analysis focuses on the uncertainty budget of the input quantities in the digital signal-processing algorithm, examining the influence of delays in the analog-to-digital processing stage on the uncertainty of these quantities. A classification of delays, based on their properties and the nature of the error signal they generate, is proposed. In addition to the mathematical model and its verification through the Monte Carlo method, the paper discusses potential applications of the proposed analysis method for selected implementations of measurement chains. This method can be utilized for power and energy measurement, power grid fault detection, and the identification of short circuits, among other applications.https://www.mdpi.com/1996-1073/18/13/3524time delay-related erroruncertainty estimationerror modeldynamic errorrandom errordigital signal processing
spellingShingle Marian Kampik
Łukasz Dróżdż
Jerzy Roj
A Method for Modeling Time Delay-Related Measurement Errors, Applicable in Power and Energy Monitoring and in Fault Detection Algorithms for Energy Grids
Energies
time delay-related error
uncertainty estimation
error model
dynamic error
random error
digital signal processing
title A Method for Modeling Time Delay-Related Measurement Errors, Applicable in Power and Energy Monitoring and in Fault Detection Algorithms for Energy Grids
title_full A Method for Modeling Time Delay-Related Measurement Errors, Applicable in Power and Energy Monitoring and in Fault Detection Algorithms for Energy Grids
title_fullStr A Method for Modeling Time Delay-Related Measurement Errors, Applicable in Power and Energy Monitoring and in Fault Detection Algorithms for Energy Grids
title_full_unstemmed A Method for Modeling Time Delay-Related Measurement Errors, Applicable in Power and Energy Monitoring and in Fault Detection Algorithms for Energy Grids
title_short A Method for Modeling Time Delay-Related Measurement Errors, Applicable in Power and Energy Monitoring and in Fault Detection Algorithms for Energy Grids
title_sort method for modeling time delay related measurement errors applicable in power and energy monitoring and in fault detection algorithms for energy grids
topic time delay-related error
uncertainty estimation
error model
dynamic error
random error
digital signal processing
url https://www.mdpi.com/1996-1073/18/13/3524
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