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Advances in Radio Science An open-access journal of the U.R.S.I. Landesausschuss in der Bundesrepublik Deutschland e.V.
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Volume 10
Adv. Radio Sci., 10, 327-332, 2012
https://doi.org/10.5194/ars-10-327-2012
© Author(s) 2012. This work is distributed under
the Creative Commons Attribution 3.0 License.
Adv. Radio Sci., 10, 327-332, 2012
https://doi.org/10.5194/ars-10-327-2012
© Author(s) 2012. This work is distributed under
the Creative Commons Attribution 3.0 License.

  02 Oct 2012

02 Oct 2012

Differential Algebraic Equations of MOS Circuits and Jump Behavior

P. Sarangapani1, T. Thiessen2, and W. Mathis2 P. Sarangapani et al.
  • 1Indian Institute of Technology, Madras, India
  • 2Institute of Theoretical Electrical Engineering, Leibniz University of Hannover, Germany

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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