Abstract
A new method for the computation of the periodic steady state of autonomous oscillators is developed. The method is robust and has super-linear convergence behaviour. The method has been implemented in Pstar, the in-house circuit simulator of Philips, and has been tested on realistic oscillator circuits. Numerical results are provided.
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References
T.J. Aprille and T.N. Trick. Steady state analysis of nonlinear circuits with periodic inputs. Proceedings IEEE, 60(1):108–114, 1972.
U.M. Ascher, R.M.M. Mattheij, and R.D. Russell. Numerical solution of Boundary Value Problems for Ordinary Differential Equations. Prentice Hall-Inc., Englewood Cliffs, New Jersey, USA, 1988.
Angelo Brambilla, Dario D’Amore, and Mauro Santomauro. Simulation of autonomous circuits in the time domain. In ECCTD’95 European Conference on Circuit Theory & Design, pages 399–402, 1995.
C. Brezinski. Convergence acceleration during the 20th century. Journal of Computational and Applied Mathematics, 122:1–21, 2000.
E. Hairer, S.P. Norsett, and G. Wanner. Solving Ordinary Differential Equations I. Springer, 1987.
K. Jbilou and H. Sadok. Vector extrapolation methods. Applications and numerical comparison. Journal of Computational and Applied Mathematics, 122:149–165, 2000.
Ken Kundert. Simulation methods for RF integrated circuits. In Proceedings of ICCAD’97, 1997.
Linda R. Petzold. An efficient numerical method for highly oscillatory ordinary differential equations. SIAM Journal on Numerical Analysis, 18:455–479, 1981.
D. Estevez Schwarz and C. Tischendorf. Structural analysis for electric circuits and consequences for MNA. International Journal of Circuit Theory and Applications, 28:131–162, 2000.
A. Semlyen and A. Medina. Computation of the periodic steady state in systems with nonlinear components using a hybrid time and frequency domain method. IEEE Transactions on Power Systems, 10(3):1498–1504, 1995.
Stig Skelboe. Time-domain steady-state analysis of nonlinear electrical systems. Proceedings of the IEEE, 70(10):1210–1228, 1982.
David A. Smith, William F. Ford, and Avram Sidi. Extrapolation methods for vector sequences. SIAM Review, 29(2), 1987.
R. Telichevesky, K. Kundert, I. Elfadel, and J. White. Fast simulation algorithms for RF circuits. In Proceedings of the IEEE 1996 Custom Integrated Circuits Conference, pages 437–444. IEEE, New York,USA, 1996.
E.J.W. ter Maten. Numerical methods for frequency domain analysis of electronic circuits. Survey on Mathematics for Industry, 8:171–185, 1999.
G. Welsh, H.G. Brachtendorf, C. Sabelhaus, and R. Laur. Minimization of the error in the calculation of the steady-state by shooting methods. Technical report, Institute of Electromagnetic Theory and Microelectronics, University of Bremen, Germany.
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Houben, S.H.M.J. (2003). Periodic Steady State Computation with the Poincaré-map Method. In: Antreich, K., Bulirsch, R., Gilg, A., Rentrop, P. (eds) Modeling, Simulation, and Optimization of Integrated Circuits. ISNM International Series of Numerical Mathematics, vol 146. Birkhäuser, Basel. https://doi.org/10.1007/978-3-0348-8065-7_7
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DOI: https://doi.org/10.1007/978-3-0348-8065-7_7
Publisher Name: Birkhäuser, Basel
Print ISBN: 978-3-0348-9426-5
Online ISBN: 978-3-0348-8065-7
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