Model order reduction of linear time invariant systems

Radic-Weissenfeld, L.; Ludwig, Stefan; Mathis, Wolfgang; John, W.

doi:10.5194/ars-6-129-2008

Cited by 6 publications

(1 citation statement)

References 7 publications

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“…The IC conducted emission models typically contain up to many thousands of resistors, inductors, capacitors and independent current sources, which results in a high complexity and leads to long simulation times. A smaller model, which engulfs the main properties and enables faster simulations, can be achieved by applying a model order reduction (MOR) (Antoulas, 1998;Radić et al, 2008).…”

Section: Introductionmentioning

confidence: 99%

Efficient passive network description of IC conducted emission models for model reduction

et al. 2008

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Abstract. This article adresses the model reduction of IC conducted emission models. A method to efficiently deal with the high number of independent sources in IC conducted emission models, which are a strong limitation for model order reduction, is presented. A network alteration is proposed, which allows for a much higher model reduction than standard approaches. The system of the altered network can be more efficiently reduced with standard model order reduction algorithms in order to speed up frequency-simulations. Synthesising the reduced system into a passive electrical network enables fast time-simulations to be made with circuit simulators. The whole procedure is validated by reducing an example of an IC conducted emission model of an 32 Bit microcontroller.

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Section: Introductionmentioning

confidence: 99%

Efficient passive network description of IC conducted emission models for model reduction

et al. 2008

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Two-step order reduction of IC conducted emission models

Radic-Weissenfeld

Ludwig

Mathis

et al. 2008

2008 Asia-Pacific Symposium on Electromagnetic Compatibility and 19th International Zurich Symposium on Electromagnetic Compati

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This paper addresses the order reduction of IC conducted emission models. These models are mathematically described by singular matrices of high order. Usually the order of the matrices can be reduced by the multipoint Krylov based order reduction. To achieve an even lower order we introduce a two step order reduction. The first step is the order reduction method based on the multipoint approximation of system matrices by utilizing the Krylov subspace. The second step is based on the rejection of the dispensable part of a system. To recognize the remaining dispensable system part Lyapunov equations are used. Thus this paper introduces the efficient solutions of the Lyapunov equations. With two-step order reduction a high speed-up in frequency analysis can be achieved

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Efficient description of RLC-macromodels with a large number of independent sources for model order reduction

Ludwig

Radic-Weissenfeld

Mathis

et al. 2008

2008 International Symposium on Electromagnetic Compatibility - EMC Europe

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This paper introduces an efficient description of electromagnetic macromodels that contain passive electrical elements and a large number of independent sources. This description allows for much higher order reduction than the standard description. In the proposed description the behavior at the pins of the model as well as the passivity are preserved. With model order reduction algorithms the proposed description of the network can be reduced more efficiently and therewith a higher speed-up in simulations can be achieved. The whole procedure is validated by applying it to an macromodel of the electromagnetic behavior of a 32 Bit microcontroller

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Model order reduction of linear time invariant systems

Cited by 6 publications

References 7 publications

Efficient passive network description of IC conducted emission models for model reduction

Efficient passive network description of IC conducted emission models for model reduction

Two-step order reduction of IC conducted emission models

Efficient description of RLC-macromodels with a large number of independent sources for model order reduction

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