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Simulation of Coupled Oscillators Using Nonlinear Phase Macromodels and Model Order Reduction

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Model Reduction for Circuit Simulation

Part of the book series: Lecture Notes in Electrical Engineering ((LNEE,volume 74))

Abstract

Oscillators are used in many integrated RF circuits. Since their behavior is highly nonlinear, full system simulation can be expensive. Furthermore, the behavior of an oscillator can be (un)intendedly perturbed by that of other components and oscillators. We apply a method to build nonlinear phase macromodels of voltage controlled oscillators and show how these can be used to predict the behavior of oscillators under perturbation. Model order reduction techniques are used to decrease simulation times. Numerical results for realistic design illustrate the proposed approach.

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Notes

  1. 1.

    Similar to singular values of matrices, the Hankel singular values and corresponding vectors can be used to identify the dominant subspaces of the system’s statespace: the larger the Hankel singular value, the more dominant.

  2. 2.

    Matlab code for plotting the PSD is given in [12].

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Acknowledgment

This work was supported by EU Marie-Curie project O-MOORE-NICE! FP6 MTKI-CT-2006-042477.

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Authors and Affiliations

  1. Department of Mathematics and Computer Science, CASA Group, University of Eindhoven, Eindhoven, The Netherlands

    Davit Harutyunyan

  2. NXP Semiconductors, Corporate I&T/DTF, HTC 37, WY4-01, 5656 AE, Eindhoven, The Netherlands

    Joost Rommes

Authors
  1. Davit Harutyunyan
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  2. Joost Rommes
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Correspondence to Joost Rommes .

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Editors and Affiliations

  1. Inst. Dynamics of Complex Techn. Systems, Max Planck Institute, Sandtorstrasse 1, Magdeburg, 39106, Germany

    Peter Benner

  2. , Fachbereich Mathematik, Universität Hamburg, Bundesstr. 55, Hamburg, 20146, Germany

    Michael Hinze

  3. , Dept. Mathematics & Comp. Sci., Eindhoven University of Technology, P.O.Box 513, Den Dolech 2, HG 8.02, Eindhoven, 5600 MB, Netherlands

    E. Jan W. ter Maten

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Harutyunyan, D., Rommes, J. (2011). Simulation of Coupled Oscillators Using Nonlinear Phase Macromodels and Model Order Reduction. In: Benner, P., Hinze, M., ter Maten, E. (eds) Model Reduction for Circuit Simulation. Lecture Notes in Electrical Engineering, vol 74. Springer, Dordrecht. https://doi.org/10.1007/978-94-007-0089-5_9

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  • DOI: https://doi.org/10.1007/978-94-007-0089-5_9

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  • Online ISBN: 978-94-007-0089-5

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