Structural analysis of electrical circuits including magnetoquasistatic devices |
| |
Authors: | Andreas Bartel Sascha Baumanns |
| |
Institution: | a Bergische Universität Wuppertal, Lehrstuhl für Angewandte Mathematik und Numerische Mathematik, Gaußstr. 20, 42119 Wuppertal, Germany b Universität zu Köln, Mathematisches Institut, Weyertal 86-90, 50931 Köln, Germany |
| |
Abstract: | Modeling electric circuits that contain magnetoquasistatic (MQS) devices leads to a coupled system of differential-algebraic equations (DAEs). In our case, the MQS device is described by the eddy current problem being already discretized in space (via edge-elements). This yields a DAE with a properly stated leading term, which has to be solved in the time domain. We are interested in structural properties of this system, which are important for numerical integration. Applying a standard projection technique, we are able to deduce topological conditions such that the tractability index of the coupled problem does not exceed two. Although index-2, we can conclude that the numerical difficulties for this problem are not severe due to a linear dependency on index-2 variables. |
| |
Keywords: | Modified nodal analysis Differential-algebraic equations Tractability index Electromagnetic devices Maxwell?s equations Finite integration technique Structural analysis Eddy currents |
本文献已被 ScienceDirect 等数据库收录! |
|