Nodal order reduction via bilinear conformal transformation

T. V. Narayanan; Madhavan Swaminathan

doi:10.1109/SPI.2010.5483569

Nodal order reduction via bilinear conformal transformation

T. V. Narayanan, Madhavan Swaminathan

Electrical Engineering

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution

1 Scopus citations

Abstract

A model order reduction process for second order systems is presented. The nodal form of electrical network governing equations is modified through a bilinear conformal transformation in the Laplace domain. Model order reduction of the transformed second order system is carried out through congruent transformation, thus preserving passivity and reciprocity of the system. Proof of concept is shown through examples of power- ground structures.

Original language	English (US)
Title of host publication	2010 IEEE 14th Workshop on Signal Propagation on Interconnects, SPI 2010 - Proceedings
Pages	73-76
Number of pages	4
DOIs	https://doi.org/10.1109/SPI.2010.5483569
State	Published - 2010
Event	2010 IEEE 14th Workshop on Signal Propagation on Interconnects, SPI 2010 - Hildesheim, Germany Duration: May 9 2010 → May 12 2010

Publication series

Name	2010 IEEE 14th Workshop on Signal Propagation on Interconnects, SPI 2010 - Proceedings

Conference

Conference	2010 IEEE 14th Workshop on Signal Propagation on Interconnects, SPI 2010
Country/Territory	Germany
City	Hildesheim
Period	5/9/10 → 5/12/10

All Science Journal Classification (ASJC) codes

Computer Networks and Communications
Signal Processing
Electrical and Electronic Engineering

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10.1109/SPI.2010.5483569

Cite this

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title = "Nodal order reduction via bilinear conformal transformation",

abstract = "A model order reduction process for second order systems is presented. The nodal form of electrical network governing equations is modified through a bilinear conformal transformation in the Laplace domain. Model order reduction of the transformed second order system is carried out through congruent transformation, thus preserving passivity and reciprocity of the system. Proof of concept is shown through examples of power- ground structures.",

author = "Narayanan, {T. V.} and Madhavan Swaminathan",

year = "2010",

doi = "10.1109/SPI.2010.5483569",

language = "English (US)",

isbn = "9781424476107",

series = "2010 IEEE 14th Workshop on Signal Propagation on Interconnects, SPI 2010 - Proceedings",

pages = "73--76",

booktitle = "2010 IEEE 14th Workshop on Signal Propagation on Interconnects, SPI 2010 - Proceedings",

note = "2010 IEEE 14th Workshop on Signal Propagation on Interconnects, SPI 2010 ; Conference date: 09-05-2010 Through 12-05-2010",

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Narayanan, TV & Swaminathan, M 2010, Nodal order reduction via bilinear conformal transformation. in 2010 IEEE 14th Workshop on Signal Propagation on Interconnects, SPI 2010 - Proceedings., 5483569, 2010 IEEE 14th Workshop on Signal Propagation on Interconnects, SPI 2010 - Proceedings, pp. 73-76, 2010 IEEE 14th Workshop on Signal Propagation on Interconnects, SPI 2010, Hildesheim, Germany, 5/9/10. https://doi.org/10.1109/SPI.2010.5483569

Nodal order reduction via bilinear conformal transformation. / Narayanan, T. V.; Swaminathan, Madhavan.
2010 IEEE 14th Workshop on Signal Propagation on Interconnects, SPI 2010 - Proceedings. 2010. p. 73-76 5483569 (2010 IEEE 14th Workshop on Signal Propagation on Interconnects, SPI 2010 - Proceedings).

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution

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AU - Narayanan, T. V.

AU - Swaminathan, Madhavan

PY - 2010

Y1 - 2010

N2 - A model order reduction process for second order systems is presented. The nodal form of electrical network governing equations is modified through a bilinear conformal transformation in the Laplace domain. Model order reduction of the transformed second order system is carried out through congruent transformation, thus preserving passivity and reciprocity of the system. Proof of concept is shown through examples of power- ground structures.

AB - A model order reduction process for second order systems is presented. The nodal form of electrical network governing equations is modified through a bilinear conformal transformation in the Laplace domain. Model order reduction of the transformed second order system is carried out through congruent transformation, thus preserving passivity and reciprocity of the system. Proof of concept is shown through examples of power- ground structures.

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M3 - Conference contribution

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T3 - 2010 IEEE 14th Workshop on Signal Propagation on Interconnects, SPI 2010 - Proceedings

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BT - 2010 IEEE 14th Workshop on Signal Propagation on Interconnects, SPI 2010 - Proceedings

T2 - 2010 IEEE 14th Workshop on Signal Propagation on Interconnects, SPI 2010

Y2 - 9 May 2010 through 12 May 2010

ER -

Nodal order reduction via bilinear conformal transformation

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