Orthogonality of the eigenfunctions of the plane transient eddy current problem
| Autor: | Lars Ole Fichte, Matthias Ehrich, Michael Luer |
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| Předmět: |
Plane (geometry)
Mechanical Engineering Mathematical analysis Direct current Condensed Matter Physics Integral equation Electronic Optical and Magnetic Materials law.invention Classical mechanics Orthogonality Mechanics of Materials law Eddy current Transient (oscillation) Electrical and Electronic Engineering Eigenvalues and eigenvectors Mathematics Vector potential |
| Zdroj: | Scopus-Elsevier CIÊNCIAVITAE |
| Popis: | The plane transient eddy current problem of a system of N arbitrary conductors with different magnetic permeability is solved in the time domain by time-separation. This leads to an eigenvalue problem which we treat by evaluating several volume and boundary integral equations for the vector potential. It is shown that the eigenfunctions of the different integral equations form complete orthogonal systems. As examples of application we calculate the transient behavior of the conductor system after connecting it to sources of direct voltage or direct current at time t = 0. |
| Databáze: | OpenAIRE |
| Externí odkaz: |
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