Modeling and Simulation of Internal Incipient Faults in Electrical Transformers Using a Bond Graph Approach

Power transformers are a key piece of equipment located between the points of supply and consumption of electrical energy. Due to their continuous exposure to the environment, they may be subject to failure. Thus, the modeling of transformers subject to incipient faults using a bond graph approach i...

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Main Authors: Arthur Cleary-Balderas, Gilberto Gonzalez-Avalos, Gerardo Ayala-Jaimes, Aaron Padilla Garcia
Format: Article
Language:English
Published: MDPI AG 2025-06-01
Series:Energies
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Online Access:https://www.mdpi.com/1996-1073/18/13/3307
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author Arthur Cleary-Balderas
Gilberto Gonzalez-Avalos
Gerardo Ayala-Jaimes
Aaron Padilla Garcia
author_facet Arthur Cleary-Balderas
Gilberto Gonzalez-Avalos
Gerardo Ayala-Jaimes
Aaron Padilla Garcia
author_sort Arthur Cleary-Balderas
collection DOAJ
description Power transformers are a key piece of equipment located between the points of supply and consumption of electrical energy. Due to their continuous exposure to the environment, they may be subject to failure. Thus, the modeling of transformers subject to incipient faults using a bond graph approach is presented in this study. In particular, incipient faults in the primary and secondary windings with respect to ground and a turn-to-turn fault in the primary winding are modeled. In order to develop a mathematical model capturing the incipient faults in transformers including magnetic saturation effects, a junction structure for the system applied to the bond graph model is proposed. The steady-state responses of the faulted transformer models using a bond graph approach are presented, leading to the proposal of a method for fault analysis in transformers with DC supply sources. Simulation results for the transformers with the different faults are presented, validating the results obtained according to expressions derived from the bond graph models.
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spelling doaj-art-5391ed756b954938895880ffdd2fd8d82025-08-20T03:17:07ZengMDPI AGEnergies1996-10732025-06-011813330710.3390/en18133307Modeling and Simulation of Internal Incipient Faults in Electrical Transformers Using a Bond Graph ApproachArthur Cleary-Balderas0Gilberto Gonzalez-Avalos1Gerardo Ayala-Jaimes2Aaron Padilla Garcia3Faculty of Electrical Engineering, University of Michoacán, Morelia 58000, MexicoGraduate Studies Division, Faculty of Mechanical Engineering, University of Michoacán, Morelia 58000, MexicoFaculty of Sciences of Engineering and Technology, Autonomous University of Baja California, Tijuana 21500, MexicoFaculty of Electrical Engineering, University of Michoacán, Morelia 58000, MexicoPower transformers are a key piece of equipment located between the points of supply and consumption of electrical energy. Due to their continuous exposure to the environment, they may be subject to failure. Thus, the modeling of transformers subject to incipient faults using a bond graph approach is presented in this study. In particular, incipient faults in the primary and secondary windings with respect to ground and a turn-to-turn fault in the primary winding are modeled. In order to develop a mathematical model capturing the incipient faults in transformers including magnetic saturation effects, a junction structure for the system applied to the bond graph model is proposed. The steady-state responses of the faulted transformer models using a bond graph approach are presented, leading to the proposal of a method for fault analysis in transformers with DC supply sources. Simulation results for the transformers with the different faults are presented, validating the results obtained according to expressions derived from the bond graph models.https://www.mdpi.com/1996-1073/18/13/3307bond graphpower transformerincipient failuresteady-state
spellingShingle Arthur Cleary-Balderas
Gilberto Gonzalez-Avalos
Gerardo Ayala-Jaimes
Aaron Padilla Garcia
Modeling and Simulation of Internal Incipient Faults in Electrical Transformers Using a Bond Graph Approach
Energies
bond graph
power transformer
incipient failure
steady-state
title Modeling and Simulation of Internal Incipient Faults in Electrical Transformers Using a Bond Graph Approach
title_full Modeling and Simulation of Internal Incipient Faults in Electrical Transformers Using a Bond Graph Approach
title_fullStr Modeling and Simulation of Internal Incipient Faults in Electrical Transformers Using a Bond Graph Approach
title_full_unstemmed Modeling and Simulation of Internal Incipient Faults in Electrical Transformers Using a Bond Graph Approach
title_short Modeling and Simulation of Internal Incipient Faults in Electrical Transformers Using a Bond Graph Approach
title_sort modeling and simulation of internal incipient faults in electrical transformers using a bond graph approach
topic bond graph
power transformer
incipient failure
steady-state
url https://www.mdpi.com/1996-1073/18/13/3307
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AT gerardoayalajaimes modelingandsimulationofinternalincipientfaultsinelectricaltransformersusingabondgraphapproach
AT aaronpadillagarcia modelingandsimulationofinternalincipientfaultsinelectricaltransformersusingabondgraphapproach