Application of Bond Graph Models to Economics

Wong, YW

doi:10.1080/02286203.2001.11442201

Cited by 6 publications

(3 citation statements)

References 13 publications

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“…This is often justified in practical engineering because it is easier to work with heat flows than with entropy flows [30, p.548]. There also exist applications of the bond graph methodology to non-physical domains, for example, to economic systems [9], [47]. These applications require an abstraction of the concepts of energy and power to coherently assign the variables of effort and flow.…”

Section: A Power Ports and Dirac Structuresmentioning

confidence: 99%

Port-Hamiltonian Modeling of Multiphysics Systems and Object-Oriented Implementation With the Modelica Language

Márquez¹,

Zufiria²,

Yebra³

2020

IEEE Access

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In this article we present the implementation in Modelica language of a library with the fundamental components for modeling a wide variety of multiphysics systems. Modelica is an object-oriented modeling language, which allows to make a simple, systematic and elegant design of the library. The mechanisms of inheritance and composition of Modelica facilitate the modeling and reuse of components in different domains of Physics. To model the behavior of each component in a systematic framework we have used the theory of port-Hamiltonian systems, formulated mainly by means of differential geometry. The port-Hamiltonian approach allows a methodical definition of complex systems by connecting simple systems that exchange energy through connection ports. To graphically represent the components of a system and their connections, we have employed slightly modified bond graphs symbols for easier reading. The general and systematic applicability of the library is illustrated via two examples framed in different domains of Physics: the mechanical Sun-Earth-Moon system where we perform an analysis of errors that justifies the employed system of units, and the electrical nonlinear Chua circuit, modeled by composition of port-Hamiltonian subsystems. Both derived models have been built and simulated based on the more general models of mechanical and electrical systems, which are also part of the library developed with the port-Hamiltonian approach. INDEX TERMS Bond graphs, Dirac structures, Modelica language, multiphysics systems, object oriented modeling, port-Hamiltonian systems.

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Section: A Power Ports and Dirac Structuresmentioning

confidence: 99%

Port-Hamiltonian Modeling of Multiphysics Systems and Object-Oriented Implementation With the Modelica Language

Márquez¹,

Zufiria²,

Yebra³

2020

IEEE Access

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“…Having a glance at the diversity of scientific fields that benefit from the BG technique is strong enough evidence of its power and applicability. BGs are being used in aerospace [11], marine [12], railway [13], automation [14] and chemical engineering, as well as computational fluid dynamics [15], the battery industry [16], heat exchange [17], the steel industry [18], microelectromechanical systems [19], vibration and artificial intelligence (AI) techniques [20] and economics [21]. In this review, we focus on the application of BGs to large-scale biophysical models.…”

Section: Introductionmentioning

confidence: 99%

A review of the diverse applications of bond graphs in biology and physiology

Akbarpour Ghazani,

Pan,

Tran

et al. 2024

Proc. R. Soc. A.

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Computational biology and physiology is an interdisciplinary endeavour, requiring input from biologists, physiologists, mathematicians, chemists, engineers and clinicians. These systems are composed of complex phenomena across disparate temporal and spatial scales, and a holistic understanding of system behaviour typically requires the application of advanced multi-scale models. While many modelling techniques have been used, the bond graph (BG) is the only approach for modelling physical systems, where ‘causality’ is represented graphically. Additionally, the BG approach with its intrinsic properties allows the modular construction of models and verifying the conservation of mass and energy algorithmically. The BG approach has been widely used in engineering and, more recently, has been increasingly applied to biology and physiological systems. In this review, we briefly introduce the concepts and strengths of BG modelling. Following this, we review the history of BGs in modelling cellular mechanisms, biochemical reactions and musculoskeletal and cardiovascular systems. Then, current developments in BG software are reviewed, and opportunities and perspectives on the future application of BGs are discussed.

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“…Therefore, 'power' (the time rate of energy transfer) between the distinct components is the main concept supporting the description of physical systems. Since then, the BG theory has been developed by many researchers [7,8,21,23,24,33,48,67,68,74] that extended the technique to power hydraulics, mechatronics, thermo-dynamics and, more recently, to nonphysical systems like micro-economy [10][11][12]76] and architecture [36,69,70]. The BG graphical representation and the derivation of system equations is systematic and can be algorithmized by existing software (e.g.…”

Section: Introductionmentioning

confidence: 99%

A fractional perspective to the bond graph modelling of world economies

Machado

Mata

2014

Nonlinear Dyn

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Inspired in dynamic systems theory and Brewer's contributions to apply it to economics, this paper establishes a bond graph model. Two main variables, a set of inter-connectivities based on nodes and links (bonds) and a fractional order dynamical perspective, prove to be a good macro-economic representation of countries' potential performance in nowadays globalization. The estimations based on time series for 50 countries throughout the last 50 decades confirm the accuracy of the model and the importance of scale for economic performance.

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Application of Bond Graph Models to Economics

Cited by 6 publications

References 13 publications

Port-Hamiltonian Modeling of Multiphysics Systems and Object-Oriented Implementation With the Modelica Language

Port-Hamiltonian Modeling of Multiphysics Systems and Object-Oriented Implementation With the Modelica Language

A review of the diverse applications of bond graphs in biology and physiology

A fractional perspective to the bond graph modelling of world economies

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