The Power-Oriented Graphs Modeling Technique: From the Fundamental Principles to the Systematic, Step-By-Step Modeling of Complex Physical Systems

Modeling physical systems is an essential skill for engineers, since it enables to achieve a deep understanding of their dynamic behavior and, consequently, to develop effective control strategies. The first part of this paper provides a recap of the fundamental principles and properties of the Powe...

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Main Authors: Davide Tebaldi, Roberto Zanasi
Format: Article
Language:English
Published: IEEE 2025-01-01
Series:IEEE Access
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Online Access:https://ieeexplore.ieee.org/document/10869453/
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author Davide Tebaldi
Roberto Zanasi
author_facet Davide Tebaldi
Roberto Zanasi
author_sort Davide Tebaldi
collection DOAJ
description Modeling physical systems is an essential skill for engineers, since it enables to achieve a deep understanding of their dynamic behavior and, consequently, to develop effective control strategies. The first part of this paper provides a recap of the fundamental principles and properties of the Power-Oriented Graphs (POG) modeling technique, by also referring to a case study to consolidate them. The POG technique is then compared with the other two main graphical modeling techniques available in the literature, namely Bond Graph (BG) and Energetic Macroscopic Representation (EMR). The second part of this paper introduces the new Fast Modeling POG (FMPOG) procedure. The FMPOG, which operates in the POG framework, is a methodical step-by-step procedure that enables the readers to quickly derive the power-oriented graphical model of physical systems starting from their schematics. From the power-oriented graphical model, the state-space model can then be directly determined. To ensure the FMPOG procedure is easily usable by the entire community, we apply it to three examples in different energetic domains in this paper, guiding the reader step-by-step through the derivation of the physical systems models. A freely available Matlab/Simulink program is provided in a repository, allowing the users to automatically apply the FMPOG procedure to various classes of physical systems. This program allows to convert the physical systems schematics into the corresponding POG block schemes and, ultimately, into the state-space mathematical models.
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spelling doaj-art-2de2f1546c424b9992a40c5f72420ed02025-08-20T02:15:37ZengIEEEIEEE Access2169-35362025-01-0113324703248510.1109/ACCESS.2025.353786210869453The Power-Oriented Graphs Modeling Technique: From the Fundamental Principles to the Systematic, Step-By-Step Modeling of Complex Physical SystemsDavide Tebaldi0https://orcid.org/0000-0003-1432-0489Roberto Zanasi1https://orcid.org/0000-0001-5507-825XDepartment of Engineering “Enzo Ferrari,”, University of Modena and Reggio Emilia, Modena, ItalyDepartment of Engineering “Enzo Ferrari,”, University of Modena and Reggio Emilia, Modena, ItalyModeling physical systems is an essential skill for engineers, since it enables to achieve a deep understanding of their dynamic behavior and, consequently, to develop effective control strategies. The first part of this paper provides a recap of the fundamental principles and properties of the Power-Oriented Graphs (POG) modeling technique, by also referring to a case study to consolidate them. The POG technique is then compared with the other two main graphical modeling techniques available in the literature, namely Bond Graph (BG) and Energetic Macroscopic Representation (EMR). The second part of this paper introduces the new Fast Modeling POG (FMPOG) procedure. The FMPOG, which operates in the POG framework, is a methodical step-by-step procedure that enables the readers to quickly derive the power-oriented graphical model of physical systems starting from their schematics. From the power-oriented graphical model, the state-space model can then be directly determined. To ensure the FMPOG procedure is easily usable by the entire community, we apply it to three examples in different energetic domains in this paper, guiding the reader step-by-step through the derivation of the physical systems models. A freely available Matlab/Simulink program is provided in a repository, allowing the users to automatically apply the FMPOG procedure to various classes of physical systems. This program allows to convert the physical systems schematics into the corresponding POG block schemes and, ultimately, into the state-space mathematical models.https://ieeexplore.ieee.org/document/10869453/Physical systemsmodelingmodel validationmechatronicspower-oriented graphs
spellingShingle Davide Tebaldi
Roberto Zanasi
The Power-Oriented Graphs Modeling Technique: From the Fundamental Principles to the Systematic, Step-By-Step Modeling of Complex Physical Systems
IEEE Access
Physical systems
modeling
model validation
mechatronics
power-oriented graphs
title The Power-Oriented Graphs Modeling Technique: From the Fundamental Principles to the Systematic, Step-By-Step Modeling of Complex Physical Systems
title_full The Power-Oriented Graphs Modeling Technique: From the Fundamental Principles to the Systematic, Step-By-Step Modeling of Complex Physical Systems
title_fullStr The Power-Oriented Graphs Modeling Technique: From the Fundamental Principles to the Systematic, Step-By-Step Modeling of Complex Physical Systems
title_full_unstemmed The Power-Oriented Graphs Modeling Technique: From the Fundamental Principles to the Systematic, Step-By-Step Modeling of Complex Physical Systems
title_short The Power-Oriented Graphs Modeling Technique: From the Fundamental Principles to the Systematic, Step-By-Step Modeling of Complex Physical Systems
title_sort power oriented graphs modeling technique from the fundamental principles to the systematic step by step modeling of complex physical systems
topic Physical systems
modeling
model validation
mechatronics
power-oriented graphs
url https://ieeexplore.ieee.org/document/10869453/
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