Minimization of the error in the calculation of the steady state by shooting methods

G. Welsch; H. G. Brachtendorf; C. Sabelhaus; R. Laur

doi:10.1109/81.956023

Minimization of the error in the calculation of the steady state by shooting methods

G. Welsch, H. G. Brachtendorf, C. Sabelhaus, R. Laur

Research output: Contribution to journal › Article › peer-review

2 Citations (Scopus)

Abstract

The periodic steady state of a circuit can be calculated with a variety of algorithms. One of them is the (multiple-) shooting method. For good performance, the shooting analysis uses a higher order multistep backward-integration method for the computation. Normally, in the very first step, the Gear 1 integration formula is used because no information of previous discretization points are available. The next step can be calculated with the second-order formula. After the calculation of (k - 1) successive time-steps, it is possible to switch to the desired (kth-order) integration formula. The switching introduces an error to the solution of the steady state, which can be observed by a subsequent Fourier transformation. This paper presents a straightforward method to suppress the problem by generating additional starting values. The novel formulation is compared with the conventional shooting method on two example circuits.

Original language	English
Pages (from-to)	1252-1257
Number of pages	6
Journal	IEEE Transactions on Circuits and Systems I: Fundamental Theory and Applications
Volume	48
Issue number	10
DOIs	https://doi.org/10.1109/81.956023
Publication status	Published - Oct 2001
Externally published	Yes

Keywords

Harmonic analysis
Shooting methods
Simulation
Steady state

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10.1109/81.956023

Cite this

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Minimization of the error in the calculation of the steady state by shooting methods

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Keywords

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