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Document Type

Open Access

Degree Program

Electrical & Computer Engineering

Degree Type

Master of Science in Electrical and Computer Engineering (M.S.E.C.E.)

Year Degree Awarded

2010

Month Degree Awarded

February

Keywords

model order reduction (MOR), finite element method (FEM), computational electromagnetics, SVD MOR

Abstract

Modeling and design of high frequency electronic systems such as antennas and microwave devices require the rigorous numerical solution of Maxwell’s equa- tions. The frequency-domain (time-harmonic) tangential vector finite element method (TVFEM) for Maxwell equations results in a second-order dynamical electromagnetic model that must be repeatedly solved for multiple frequencies, excitation or material parameters each design loop. This leads to extremely long design turnaround that often is not optimal. This work will propose an accurate, error controllable and ef- ficient multi-parametric model order reduction scheme that significantly accelerate these parameters sweep. At the core of this work is the proper orthogonal decompo- sition (POD) sampling technique and balanced truncation (BT) algorithm that are used to reduce multi-parameter spaces that include frequency, material parameters and infinite array scan angles. The proposed methodology employs a novel computa- tional scheme based on adaptive POD sampling and the singular value decomposition (SVD) of the low-rank Hankel matrix. Numerical examples confirm the significant time savings and good accuracy of the method for a diverse set of high-frequency electromagnetic systems.

First Advisor

Marinos N. Vouvakis

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