A method for Soft Fault Diagnosis of Linear Analog Circuits Using the Laplace Transform Technique

This paper is focused on multiple soft fault diagnosis of linear time-invariant analog circuits and brings a method that achieves all objectives of the fault diagnosis: detection, location, and identification. The method is based on a diagnostic test arranged in the transient state, which requires o...

Full description

Bibliographic Details
Main Authors: Michał Tadeusiewicz, Marek Ossowski, Marek Korzybski
Format: Article
Language:English
Published: Polish Academy of Sciences 2021-09-01
Series:International Journal of Electronics and Telecommunications
Subjects:
Online Access:https://journals.pan.pl/Content/120803/PDF/74_3344_Tadeusiewicz_skl.pdf
_version_ 1811343603140657152
author Michał Tadeusiewicz
Marek Ossowski
Marek Korzybski
author_facet Michał Tadeusiewicz
Marek Ossowski
Marek Korzybski
author_sort Michał Tadeusiewicz
collection DOAJ
description This paper is focused on multiple soft fault diagnosis of linear time-invariant analog circuits and brings a method that achieves all objectives of the fault diagnosis: detection, location, and identification. The method is based on a diagnostic test arranged in the transient state, which requires one node accessible for excitation and two nodes accessible for measurement. The circuit is specified by two transmittances which express the Laplace transform of the output voltages in terms of the Laplace transform of the input voltage. Each of these relationships is used to create an overdetermined system of nonlinear algebraic equations with the circuit parameters as the unknown variables. An iterative method is developed to solve these equations. Some virtual solutions can be eliminated comparing the results obtained using both transmittances. Three examples are provided where laboratory or numerical experiments reveal effectiveness of the proposed method.
first_indexed 2024-04-13T19:32:53Z
format Article
id doaj.art-0480d4a899d748feb94ce6b7852bd26e
institution Directory Open Access Journal
issn 2081-8491
2300-1933
language English
last_indexed 2024-04-13T19:32:53Z
publishDate 2021-09-01
publisher Polish Academy of Sciences
record_format Article
series International Journal of Electronics and Telecommunications
spelling doaj.art-0480d4a899d748feb94ce6b7852bd26e2022-12-22T02:33:08ZengPolish Academy of SciencesInternational Journal of Electronics and Telecommunications2081-84912300-19332021-09-01vol. 67No 3531536https://doi.org/10.24425/ijet.2021.137843A method for Soft Fault Diagnosis of Linear Analog Circuits Using the Laplace Transform TechniqueMichał Tadeusiewicz0Marek Ossowski1Marek Korzybski2Lodz University of Technology, Department of Electrical, Electronic, Computer and Control Engineering, Lodz, PolandLodz University of Technology, Department of Electrical, Electronic, Computer and Control Engineering, Lodz, PolandLodz University of Technology, Department of Electrical, Electronic, Computer and Control Engineering, Lodz, PolandThis paper is focused on multiple soft fault diagnosis of linear time-invariant analog circuits and brings a method that achieves all objectives of the fault diagnosis: detection, location, and identification. The method is based on a diagnostic test arranged in the transient state, which requires one node accessible for excitation and two nodes accessible for measurement. The circuit is specified by two transmittances which express the Laplace transform of the output voltages in terms of the Laplace transform of the input voltage. Each of these relationships is used to create an overdetermined system of nonlinear algebraic equations with the circuit parameters as the unknown variables. An iterative method is developed to solve these equations. Some virtual solutions can be eliminated comparing the results obtained using both transmittances. Three examples are provided where laboratory or numerical experiments reveal effectiveness of the proposed method.https://journals.pan.pl/Content/120803/PDF/74_3344_Tadeusiewicz_skl.pdfanalog linear circuitsfault diagnosismultiple softfaultsthe laplace transform
spellingShingle Michał Tadeusiewicz
Marek Ossowski
Marek Korzybski
A method for Soft Fault Diagnosis of Linear Analog Circuits Using the Laplace Transform Technique
International Journal of Electronics and Telecommunications
analog linear circuits
fault diagnosis
multiple softfaults
the laplace transform
title A method for Soft Fault Diagnosis of Linear Analog Circuits Using the Laplace Transform Technique
title_full A method for Soft Fault Diagnosis of Linear Analog Circuits Using the Laplace Transform Technique
title_fullStr A method for Soft Fault Diagnosis of Linear Analog Circuits Using the Laplace Transform Technique
title_full_unstemmed A method for Soft Fault Diagnosis of Linear Analog Circuits Using the Laplace Transform Technique
title_short A method for Soft Fault Diagnosis of Linear Analog Circuits Using the Laplace Transform Technique
title_sort method for soft fault diagnosis of linear analog circuits using the laplace transform technique
topic analog linear circuits
fault diagnosis
multiple softfaults
the laplace transform
url https://journals.pan.pl/Content/120803/PDF/74_3344_Tadeusiewicz_skl.pdf
work_keys_str_mv AT michałtadeusiewicz amethodforsoftfaultdiagnosisoflinearanalogcircuitsusingthelaplacetransformtechnique
AT marekossowski amethodforsoftfaultdiagnosisoflinearanalogcircuitsusingthelaplacetransformtechnique
AT marekkorzybski amethodforsoftfaultdiagnosisoflinearanalogcircuitsusingthelaplacetransformtechnique
AT michałtadeusiewicz methodforsoftfaultdiagnosisoflinearanalogcircuitsusingthelaplacetransformtechnique
AT marekossowski methodforsoftfaultdiagnosisoflinearanalogcircuitsusingthelaplacetransformtechnique
AT marekkorzybski methodforsoftfaultdiagnosisoflinearanalogcircuitsusingthelaplacetransformtechnique