Efficient Finite Element Electromagnetic Analysis for High-Frequency/High-Speed Circuits And Multiconductor Transmission Lines

This dissertation comprises the following four components. (1) Development of a robust and efficient 3-D finite element electromagnetic field solver with high-order vector elements for high-frequency and high-speed circuit simulations. The solver supports wave port and lumped port excitations as well as the incorporation of lumped networks and circuit models in a distributed finite element model. An adaptive multipoint model order reduction method is developed for fast broadband analysis. (2) Development of a fast and accurate multiconductor transmission line simulator and parameter extractor with improved model order reduction techniques. A methodology is further proposed for a combined quasi-TEM and full-wave transmission line analysis, which possesses their respective advantages and ensures full-wave accuracy from DC to very high frequencies. The transmission line analysis also takes into account the frequency dependence of dielectric materials. (3) Study of the low-frequency instability problem in the 3-D full-wave finite element simulation. The tree-cotree splitting is combined with several other techniques to improve the matrix conditioning and extend full-wave solutions down to very low frequencies for a more robust broadband characterization of high-speed digital circuits. (4) A combined domain decomposition–model order reduction (DD–MOR) method for efficient full-wave analysis of interconnections in multilayer printed circuit boards. The method not only brings a significant enhancement to computational efficiency while maintaining full-wave accuracy, but also provides great flexibility in the finite element mesh generation.

Name thesis:degree_name

Ph.D.

Level thesis:degree_level

Dissertation

Discipline thesis:degree_discipline

Electrical and Computer Engineering

Grantor

University of Illinois at Urbana-Champaign

Year dc:date

2009

Author dc:creator

• Lee, Shih-hao

Contributors dc:contributor

• Jin, Jianming
• Cangellaris, Andreas C.
• Schutt-Ainé, José E.
• Feng, Milton

• Debye model
• electromagnetics
• microwave
• finite element method (FEM)
• nodal elements
• vector elements
• edge elements
• higher-order elements
• triangular elements
• tetrahedral elements
• finite element analysis
• full-wave analysis
• impedance boundary condition
• port boundary condition
• wave port
• lumped port
• deembedding
• thin-wire approximation
• thin wire modeling
• internal impedance
• lumped elements
• lumped circuits
• field-circuit simulation
• EM-circuit simulation
• stamping
• reduced-order modeling
• model order reduction (MOR)
• fast frequency sweep
• solution space projection (SSP)
• quasi-static analysis
• quasi-TEM analysis
• generalized eigenproblem
• Lanczos algorithm
• modal analysis
• eigenanalysis
• frequency-dependent media
• anisotropic media
• multiconductor transmission lines
• transmission line parameters
• frequency-dependent losses
• conductor loss
• dielectric loss
• substrate loss
• characteristic impedance
• skin effect
• proximity effect
• parameter extraction
• resistance
• inductance
• capacitance
• conductance
• per-unit-length
• composite conductors
• waveguide
• filter
• coplanar waveguide (CPW)
• striplines
• microstrip lines
• high-frequency circuits
• RF circuits
• high-speed circuits
• tree-cotree splitting
• low-frequency breakdown
• low-frequency instability
• preconditioning
• bonding wire
• printed circuit board
• multilayer printed circuit board (PCB)
• via-holes
• signal integrity
• electromagnetic coupling
• interconnects
• domain decomposition
• Approximate Modal Interface (AMI)
• Approximate Modal Interface–Solution Space Projection (AMI–SSP)
• domain decomposition–model order reduction (DD–MOR)
• computer-aided design (CAD)

Statement dc:rights

• Copyright 2009 Shih-Hao Lee

Handle dc:identifier

http://hdl.handle.net/2142/11987

OAI identifier oai:identifier

oai:www.ideals.illinois.edu:2142/11987