Abstract
Circuit simulation packages generate the network equations automatically. In time domain analysis this results in a system of differential-algebraic equations, which is solved numerically by BDF schemes and/or the trapezoidal rule. CHORAL, a charge-oriented Rosenbrock-Wanner method, has been developed as an alternative approach for digital circuits. By its successful implementation into TITAN, Infineon Technologies’ circuit simulator, a second integration scheme is available for the first time. Results for benchmarks and industrial circuits show that CHORAL is competitive with the standard ansatz. A careful analysis shows that CHORAL can be interpreted as a numerical (non-ideal) low pass filter with all its beneficial properties: oscillations of physical significance are preserved, but highly oscillatory perturbations are damped out very rapidly.
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References
Estév ez Schwarz, D., Feldmann, U., Mär z, R., Sturtzel, S., Tischendorf, C.: Finding benificial DAE structures in circuit simulation. Submitted for publication.
Feldmann, U.; Wever, U.; Zheng, Q.; Schultz, R.; Wriedt, H.: Algorithms for modern circuit simulation. AEÜ 46, 274–285 (1992).
Feldmann, U., Gün ther, M.: Some remarks about regularization of circuit equations. Proc. ISTET’99, Sept. 6.-9. 1999 (Magdeburg), 343–348.
Günther, M.: Ladungsorientierte Rosenbrock-Wanner-Methoden zur numerischen Simulation digitaler Schaltungen. VDI Verlag, Düsseldorf, 1995.
Gün ther, M.: Simulating digital circuits numerically — a charge-oriented ROW approach. Num. Math. 79, 203–212 (1998).
Günther, M.; Feldmann, U.: CAD based electric circuit modeling I: mathematical structure and index of network equations. Surv. Math. Ind. 8 97–129 (1999).
Günther, M.; Feldmann, U.: CAD based electric circuit modeling II: impact of network structure and parameters. Surv. Math. Ind. 8, 131–157 (1999).
Günther, M.; Hoschek, M.: ROW methods adapted to electric circuit simulation packages. J. Comp. Appl. Math. 82, 159–170 (1997).
Gün ther, M.; Hoschek, M.; Rentrop, P.: Differential-Algebraic Equations in Electric Circuit Simulation. Int. J. Electron. Commun. (AE) 54, 101–107 (2000).
Günther, M.; Hoschek, M.; Weiner, R.:. ROW methods adapted to a cheap Jacobian. To appear in Appl. Numer. Math.
Günther, M.; Kværnø, A.; Rentrop, P.: Multirate partitioned Runge-Kutta methods. To appear in BIT.
Hairer, E.; Wanner, G.: Solving ordinary differential equations II. Stiff and differential-algebraic problems. Springer-Verlag, Berlin, 1991.
Hoschek, M.: Einschrittverfahren zur numerischen Simulation elektrischer Schaltungen. VDI Verlag, Düsseldorf, 1999.
Hoschek, M.; Rentrop, P.; Wagner, Y.: Network approach and differentialalgebraic systems in technical applications. Surv. Math. Ind. 9, 49–76 (1999).
März, R., Tischendorf, C.: Recent results in solving index 2 different algebraic equations in circuit simulation. SIAM. J. Sci. Comp. 18(1), 139–159 (1997).
G. Massobrio and P. Antognetti. Semiconductor device modelling with SPICE. McGraw-Hill, New York, 1993.
Nagel, W.: SPICE 2-a computer program to simulate semiconductor circuits. Dissertation. Berkeley, CA: UC Berkeley, 1975.
Rentrop, P.: ROW-type methods for the integration of electric circuits. In Bank, R. et al. (Eds): Mathematical modelling and simulation of electrical circuits and semiconductor devices, Basel, Birkhäuser Verlag, 59–71 (1990)
Rentrop, P.; Roche, M.; Steinebach, G.: The application of Rosenbrock-Wanner type methods with stepsize control in differential-algebraic equations. Num. Math. 55, 545–563 (1989).
Simeon, B.: Order reduction of stiff solvers at elastic multibody systems. Appl. Numer. Math. 28, 459–475 (1998)
van der Houwen, P.J., Sommeijer, B.P.: Explicit Runge-Kutta-Nyström methods with reduced phase errors for computing oscillating solutions. SIAM J. Numer. Anal. 24, 595–617 (1987).
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Günther, M., Rentrop, P., Feldmann, U. (2001). CHORAL — A One Step Method as Numerical Low Pass Filter in Electrical Network Analysis. In: van Rienen, U., Günther, M., Hecht, D. (eds) Scientific Computing in Electrical Engineering. Lecture Notes in Computational Science and Engineering, vol 18. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-56470-3_20
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DOI: https://doi.org/10.1007/978-3-642-56470-3_20
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