Abstract
In this paper an outline about the geometric concept of nonlinear electronic circuits is given. With this geometric concept the fast switching behavior of circuits, i.e. the jumps in their state space, is illustrated and a jump condition is formulated. Furthermore, the developed geometric approach is adapted to MNA based systems of equations. This new method enables the simulation of such ill-conditioned circuits without regularization and presents an implementation approach for common circuit simulators like SPICE.
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Thiessen, T., Plönnigs, S., Mathis, W. (2013). Fast Switching Behavior in Nonlinear Electronic Circuits: A Geometric Approach. In: Kyamakya, K., Halang, W., Mathis, W., Chedjou, J., Li, Z. (eds) Selected Topics in Nonlinear Dynamics and Theoretical Electrical Engineering. Studies in Computational Intelligence, vol 459. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-34560-9_6
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DOI: https://doi.org/10.1007/978-3-642-34560-9_6
Publisher Name: Springer, Berlin, Heidelberg
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