University of Illinois Urbana-Champaign

Quantitative Analysis of the Impact of Geometric and Material Uncertainty on the Electromagnetic Response of Transmission Line Systems

Ma, Xiao

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Description

Title
Quantitative Analysis of the Impact of Geometric and Material Uncertainty on the Electromagnetic Response of Transmission Line Systems
Author(s)
Ma, Xiao
Contributor(s)
Cangellaris, Andreas
Issue Date
2011-12
Keyword(s)
  • transmission line systems
  • geometric uncertainty
  • material uncertainty
  • electromagnetic response
Abstract
When modelling any system, the input parameters of the model may be affected by a relatively large amount of uncertainty due to the intrinsic vari- ability of the system or poor accuracy of characterization. In such situations, probabilistic models can be built to include the uncertainties. This thesis focuses on developing a mathematical framework which allows quantitative analysis of geometric and material uncertainty effects on the response of transmission line systems. The mathematical framework takes advantage of the generalized polynomial chaos theory to project variables onto a space spanned by a certain orthogonal polynomial basis. The projec- tion operation will generate an augmented system of differential equations, and the response of the transmission line system can be solved in expanded form. The statistical variability of interest in this work includes a) variability in the cross-sectional geometric parameters of the line; b) variability in the electromagnetic properties of the insulating media in which the conductors are immersed; and c) variability in the termination conditions.
Type of Resource
text
Language
en
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http://hdl.handle.net/2142/46533

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