Transient solution of fast switching systems without regularization

Thiessen, Tina; Plönnigs, Sören; Mathis, Wolfgang

doi:10.1109/mwscas.2012.6292086

Cited by 2 publications

(2 citation statements)

References 11 publications

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“…Remark: As can be seen, the system of equations (1) do not distinct between x, y and z. One method to modify the system of equations (1) to (4) is shown in Thiessen et al (2012a) and Thiessen et al (2013). Another method for deriving a system of equations of type (4) is by applying the Augmented Nodal Analysis (ANA) shown in Riaza (2008).…”

Section: Geometric System Analysismentioning

confidence: 99%

“…There, several electronic circuits exhibiting these behavior were studied and different approaches to calculate S, jump and hit points were analyzed (e.g. Thiessen et al (2012b), Thiessen et al (2012a), , Thiessen and Mathis (2011b), Thiessen and Mathis (2011a)). In this work improvements in the topic of hit point calculation will be shown.…”

Section: Introductionmentioning

confidence: 99%

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Simulating circuits with impasse points

Thiessen

Mathis

2013

Adv. Radio Sci.

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Abstract. In this paper circuits with impasse points, i.e. with jumps in their configuration space will be analyzed. These non-regularized circuits exhibit a fold in their configuration space, which can lead to difficulties during the simulation with standard circuit simulators like SPICE. The former developed geometric approach to simulate these circuits without regularization will be extended by a detailed discussion of which coordinate system has to be chosen. Furthermore, two new approaches for a numerically efficient calculation of the hit points will be shown.

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Section: Geometric System Analysismentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Simulating circuits with impasse points

Thiessen

Mathis

2013

Adv. Radio Sci.

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Differential Algebraic Equations of MOS Circuits and Jump Behavior

2012

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Abstract. Many nonlinear electronic circuits showing fast switching behavior exhibit jump effects which occurs when the state space of the electronic system contains a fold. This leads to difficulties during the simulation of these systems with standard circuit simulators. A method to overcome these problems is by regularization, where parasitic inductors and capacitors are added at the suitable locations. However, the transient solution will not be reliable if this regularization is not done in accordance with Tikhonov's Theorem. A geometric approach is taken to overcome these problems by explicitly computing the state space and jump points of the circuit. Until now, work has been done in analyzing example circuits exhibiting this behavior for BJT transistors. In this work we apply these methods to MOS circuits (Schmitt trigger, flip flop and multivibrator) and present the numerical results. To analyze the circuits we use the EKV drain current model as equivalent circuit model for the MOS transistors.

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Transient solution of fast switching systems without regularization

Cited by 2 publications

References 11 publications

Simulating circuits with impasse points

Simulating circuits with impasse points

Differential Algebraic Equations of MOS Circuits and Jump Behavior

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