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CHORAL — A One Step Method as Numerical Low Pass Filter in Electrical Network Analysis

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Scientific Computing in Electrical Engineering

Part of the book series: Lecture Notes in Computational Science and Engineering ((LNCSE,volume 18))

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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© 2001 Springer-Verlag Berlin Heidelberg

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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

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-42173-3

  • Online ISBN: 978-3-642-56470-3

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