Dynamic Modelling of Mechatronic Multibody Systems With Symbolic Computing and Linear Graph Theory

McPhee, John; Schmitke, Chad; Redmond, Scott

doi:10.1080/13873950412331318044

Cited by 31 publications

(21 citation statements)

References 17 publications

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“…This is a potential for future research since modeling individual parts of a battery/hybrid electric vehicle has been done in the literature (McPhee et al , 2004;Schmitke et al , 2008;Dao et al , 2010), but never before using linear graph theory. • C at constant charge rates.…”

Section: Resultsmentioning

confidence: 99%

“…Linear graph theory has been extensively applied to many physical systems in different energy domains, namely mechanical domain, electrical domain, and hydraulic domain (Roe , 1966;Andrews and Kesavan , 1975;McPhee et al , 2004;McPhee , 1996McPhee , , 1998Schmitke et al , 2008;Léger and McPhee , 2007). Linear graphs have not yet been used to describe electrochemical cells and thermodynamic processes.…”

Section: Linear Graph Models For Electrochemical Cellsmentioning

confidence: 99%

“…This arrangement is called a chord transformation (Roe , 1966;Andrews and Kesavan , 1975;McPhee et al , 2004;McPhee , 1996McPhee , , 1998 and can be mathematically expressed as…”

Section: Overviewmentioning

confidence: 99%

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Dynamic modeling of electrochemical systems using linear graph theory

Dao

McPhee

2011

Journal of Power Sources

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An electrochemical cell is a multidisciplinary system which involves complex chemical, electrical, and thermodynamical processes. The primary objective of this paper is to develop a linear graph-theoretical modeling for the dynamic description of electrochemical systems through the representation of the system topologies. After a brief introduction to the topic and a review of linear graphs, an approach to develop linear graphs for electrochemical systems using a circuitry representation is discussed, followed in turn by the use of the branch and chord transformation techniques to generate final dynamic equations governing the system. As an example, the application of linear graph theory to modeling a nickel metal hydride (NiMH) battery will be presented. Results show that not only the number of equations are reduced significantly, but also the linear graph model simulates faster compared to * Corresponding author Email addresses: tdao@maplesoft.com (Thanh-Son Dao), mcphee@real.uwaterloo.ca (John McPhee) Preprint submitted to Power SourcesAugust 6, 2011 *Manuscript text (double-spaced) Click here to view linked ReferencesThe final publication is available at Elsevier via http://dx.doi.org/10.1016/j.jpowsour.2011.08.065 © 2011 the original lumped parameter model. The approach presented in this paper can be extended to modeling complex systems such as an electric or hybrid electric vehicle where a battery pack is interconnected with other components in many different domains.

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Section: Resultsmentioning

confidence: 99%

Section: Linear Graph Models For Electrochemical Cellsmentioning

confidence: 99%

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Dynamic modeling of electrochemical systems using linear graph theory

Dao

McPhee

2011

Journal of Power Sources

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“…Schmitke and McPhee [64] presented a procedure to model multibody systems using the subsystems method. This method applies to the extension of linear graph theory to produce the subsystem models.…”

Section: Mechatronic Systemsmentioning

confidence: 99%

An Overview of the Main Topics and Applications of Graph Theoretic Problems in Multiphysics Engineering

Garziad¹,

Saka²

2017

J Appl Mech Eng

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Graph-theoretic concepts are mostly used to study different applications in various areas such as electrical and mechanical engineering, generally multi-physics systems. The interest of researchers on this theory has importantly increased in the last decade. The main goal of this paper is to provide an overview of the use and applications of graph theoretic concept in modelling and analysis of systems in different fields. Therefore, the research topics discussed in this review are going to respect all the mentioned domains and the countries that apply this theory formulation in addition to the community of researchers who are identified by their publishers.

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“…In these cases, the generalized constraint force terms are also cancelled by the projection of the equations of motion by orthogonal complement matrices (MCPHEE; REDMOND, 2004;REDMOND, 2006). It is important to highlight that these methodologies are applicable both to holonomic and nonholonomic systems.…”

Section: ⟨0⟩mentioning

confidence: 99%

A contribution on modeling methodologies for multibody systems.

Orsino¹

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Dynamic Modelling of Mechatronic Multibody Systems With Symbolic Computing and Linear Graph Theory

Cited by 31 publications

References 17 publications

Dynamic modeling of electrochemical systems using linear graph theory

Dynamic modeling of electrochemical systems using linear graph theory

An Overview of the Main Topics and Applications of Graph Theoretic Problems in Multiphysics Engineering

A contribution on modeling methodologies for multibody systems.

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