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      Modeling of the Crosstalk Phenomenon for Electro-Magnetic Systems by Bilateral Coupling of DAEs and PDEs

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      ScienceOpen Posters
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      Numerical Algebra, Matrix Theory, Differential-Algebraic Equations, and Control Theory
      Crosstalk phenomenon, bilateral coupling, Maxwell equations, circuit equations
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            Abstract

            Modeling of the electro-magnetic disturbances between electrical elements which are sitting in an electro-magnetic system, the so-called crosstalk phenomenon, may lead to partial differential-algebraic equations. In this poster, we propose a new modeling approach to describe the crosstalk phenomenon for electro-magnetic systems, and in particular, in electrical circuits by bilateral coupling of two sets of equations. The first set is a set of differential-algebraic equations (DAEs), the so-called circuit equations i.e. the Kirchhoff current law as well as constitutive laws of the inductors and the voltage sources and presented in our model in the framework of modified nodal analysis. The second set is the set of partial differential equations (PDEs), the so-called non-stationary Maxwell equations, modeling the induction of the electro-magnteic disturbances. Considering these two sets of equations as input-output subsystems, the bilateral coupling approach connects the output of one subsystem to the input of the other subsystem and conversely, via coupling and re-coupling relations. These relations, which are in principle physical constitutive laws, are introduced in our model by suitable operator structures. The coupling of these two sets of equations leads to a set of partial differential-algebraic equations as the model equations for the crosstalk phenomenon in electrical circuits.

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            Conference
            ScienceOpen Posters
            ScienceOpen
            May 29 2015
            Article
            10.14293/P2199-8442.1.SOP-MATH.PT64ML.v1
            2d01ac83-4318-42a0-ba61-485633bd47e6

            This work has been published open access under Creative Commons Attribution License CC BY 4.0 , which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited. Conditions, terms of use and publishing policy can be found at www.scienceopen.com .

            Numerical Algebra, Matrix Theory, Differential-Algebraic Equations, and Control Theory
            History

            Mathematical physics,Numerical & Computational mathematics,Differential equations & Dynamical systems,Mathematics
            Crosstalk phenomenon, bilateral coupling, Maxwell equations, circuit equations

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