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University of Illinois – Urbana-Champaign

1. Moon, Se-jung. Rational Function Interpolation of Electromagnetic Transfer Functions of High-Speed Interconnect Systems from Discrete Time-Domain and Frequency-Domain Data.

Degree: PhD, Electrical and Computer Engineering, 2009, University of Illinois – Urbana-Champaign

URL: http://hdl.handle.net/2142/11978

We present new methodologies to generate rational function approximations of broadband electromagnetic responses of linear and passive networks of high-speed interconnects, and to construct SPICE-compatible, equivalent circuit representations of the generated rational functions. These new methodologies are driven by the desire to improve the computational efficiency of the rational function fitting process, and to ensure enhanced accuracy of the generated rational function interpolation and its equivalent circuit representation.
Toward this goal, we propose two new methodologies for rational function approximation of high-speed interconnect network responses. The first one relies on the use of both time-domain and frequency-domain data, obtained either through measurement or numerical simulation, to generate a rational function representation that extrapolates the input, early-time transient response data to late-time response while at the same time providing a means to both interpolate and extrapolate the used frequency-domain data.
The aforementioned hybrid methodology can be considered as a generalization of the frequency-domain rational function fitting utilizing frequency-domain response data only, and the time-domain rational function fitting utilizing transient response data only. In this context, a guideline is proposed for estimating the order of the rational function approximation from transient data. The availability of such an estimate expedites the time-domain rational function fitting process.
The second approach relies on the extraction of the delay associated with causal electromagnetic responses of interconnect systems to provide for a more stable rational function process utilizing a lower-order rational function interpolation. A distinctive feature of the proposed methodology is its utilization of scattering parameters.
For both methodologies, the approach of fitting the electromagnetic network matrix one element at a time is applied. It is shown that, with regard to the computational cost of the rational function fitting process, such an element-by-element rational function fitting is more advantageous than full matrix fitting for systems with a large number of ports. Despite the disadvantage that different sets of poles are used in the rational function of different elements in the network matrix, such an approach provides for improved accuracy in the fitting of network matrices of systems characterized by both strongly coupled and weakly coupled ports.
Finally, in order to provide a means for enforcing passivity in the adopted element-by-element rational function fitting approach, the methodology for passivity enforcement via quadratic programming is modified appropriately for this purpose and demonstrated in the context of element-by-element rational function fitting of the admittance matrix of an electromagnetic multiport.
*Advisors/Committee Members: Cangellaris, Andreas C. (advisor), Cangellaris, Andreas C. (Committee Chair), Jin, Jianming (committee member), Schutt-Ainé, José E. (committee member), Franke, Steven J. (committee member).*

Subjects/Keywords: rational function fitting; vector fitting; Interpretation; interconnect; equivalent circuit synthesis; Passivity; order estimation; delay extraction; passivity enforcement

Record Details Similar Records

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APA · Chicago · MLA · Vancouver · CSE | Export to Zotero / EndNote / Reference Manager

APA (6^{th} Edition):

Moon, S. (2009). Rational Function Interpolation of Electromagnetic Transfer Functions of High-Speed Interconnect Systems from Discrete Time-Domain and Frequency-Domain Data. (Doctoral Dissertation). University of Illinois – Urbana-Champaign. Retrieved from http://hdl.handle.net/2142/11978

Chicago Manual of Style (16^{th} Edition):

Moon, Se-jung. “Rational Function Interpolation of Electromagnetic Transfer Functions of High-Speed Interconnect Systems from Discrete Time-Domain and Frequency-Domain Data.” 2009. Doctoral Dissertation, University of Illinois – Urbana-Champaign. Accessed December 12, 2019. http://hdl.handle.net/2142/11978.

MLA Handbook (7^{th} Edition):

Moon, Se-jung. “Rational Function Interpolation of Electromagnetic Transfer Functions of High-Speed Interconnect Systems from Discrete Time-Domain and Frequency-Domain Data.” 2009. Web. 12 Dec 2019.

Vancouver:

Moon S. Rational Function Interpolation of Electromagnetic Transfer Functions of High-Speed Interconnect Systems from Discrete Time-Domain and Frequency-Domain Data. [Internet] [Doctoral dissertation]. University of Illinois – Urbana-Champaign; 2009. [cited 2019 Dec 12]. Available from: http://hdl.handle.net/2142/11978.

Council of Science Editors:

Moon S. Rational Function Interpolation of Electromagnetic Transfer Functions of High-Speed Interconnect Systems from Discrete Time-Domain and Frequency-Domain Data. [Doctoral Dissertation]. University of Illinois – Urbana-Champaign; 2009. Available from: http://hdl.handle.net/2142/11978

University of Manitoba

2. Liang, Yuefeng. An Improved Wide-Band System Equivalent Technique for Real Time Digital Simulators.

Degree: Electrical and Computer Engineering, 2011, University of Manitoba

URL: http://hdl.handle.net/1993/4464

This thesis introduces a new modeling approach that allows very large power systems to be modeled on a real time electro-magnetic transients (EMT) digital simulator with reduced hardware costs. The key step in achieving this is the development of an improved wide-band multi-port equivalent, which reduces a large power network into a small manageable equivalent model that preserves wideband behaviors.
This approach has a foundation method that use a two part equivalent in which the high frequency behavior of the equivalenced network is represented by a terminating frequency dependent network equivalent (FDNE), with the low frequency behavior being modeled using a detailed Transient Stability Analysis (TSA) model that only models the electromechanical behavior. This approach allowed the modelling of medium size electric regions up to hundreds of buses in real time.
This thesis extends the equivalent by implementing a reduced order of the detailed electromechanical TSA equivalent mentioned above. Coherency based reduction is used for the electromechanical model of the power network to be equivalenced, and is implemented as a Transient Stability Analysis (TSA) type electromechanical equivalent. A challenge in implementing the FDNE is to ensure that it is a passive network, as otherwise its inclusion could lead to unstable simulation. This thesis also introduces a practical procedure to enforce passivity in the FDNE.
The validity of the proposed technique is demonstrated by comparing the approach with detailed electromagnetic simulations of the well-known 39 bus New England system and a modified 39 bus system with an HVDC infeed with coupling between the dc line and an adjacent ac line, in addition to a 108 bus ac system. The power of the method is demonstrated by the real-time simulation of a large system with 2300 busses and 139 generators. It has been shown that this approach has the potential to increase by at least one order of magnitude the size of the network that can be modeled and thus on a real time electro-magnetic transients (EMT) digital simulator with reduced hardware costs.
*Advisors/Committee Members: Gole, Aniruddha (Electrical and Computer Engineering) (supervisor), Vittal,Vijay (Electrical Engineering, Arizona State University).*

Subjects/Keywords: Real Time Digital Simulators (RTDS); Frequency Dependent Network Equivalent (FDNE); Passivity Enforcement; Coherency-Based Dynamic Equivalent; Electromagnetic Transient (EMT); Transient Stability Analysis (TSA)

Record Details Similar Records

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APA · Chicago · MLA · Vancouver · CSE | Export to Zotero / EndNote / Reference Manager

APA (6^{th} Edition):

Liang, Y. (2011). An Improved Wide-Band System Equivalent Technique for Real Time Digital Simulators. (Thesis). University of Manitoba. Retrieved from http://hdl.handle.net/1993/4464

Note: this citation may be lacking information needed for this citation format:

Not specified: Masters Thesis or Doctoral Dissertation

Chicago Manual of Style (16^{th} Edition):

Liang, Yuefeng. “An Improved Wide-Band System Equivalent Technique for Real Time Digital Simulators.” 2011. Thesis, University of Manitoba. Accessed December 12, 2019. http://hdl.handle.net/1993/4464.

Note: this citation may be lacking information needed for this citation format:

Not specified: Masters Thesis or Doctoral Dissertation

MLA Handbook (7^{th} Edition):

Liang, Yuefeng. “An Improved Wide-Band System Equivalent Technique for Real Time Digital Simulators.” 2011. Web. 12 Dec 2019.

Vancouver:

Liang Y. An Improved Wide-Band System Equivalent Technique for Real Time Digital Simulators. [Internet] [Thesis]. University of Manitoba; 2011. [cited 2019 Dec 12]. Available from: http://hdl.handle.net/1993/4464.

Note: this citation may be lacking information needed for this citation format:

Not specified: Masters Thesis or Doctoral Dissertation

Council of Science Editors:

Liang Y. An Improved Wide-Band System Equivalent Technique for Real Time Digital Simulators. [Thesis]. University of Manitoba; 2011. Available from: http://hdl.handle.net/1993/4464

Not specified: Masters Thesis or Doctoral Dissertation

3. Chung, Joon Hyung. Efficient and physically consistent electromagnetic macromodeling of high-speed interconnects exhibiting geometric uncertainties.

Degree: PhD, 1200, 2013, University of Illinois – Urbana-Champaign

URL: http://hdl.handle.net/2142/42343

We propose new methodologies to improve the current state-of-the-art in macromodeling techniques pertinent to the rational function interpolation of broadband electromagnetic responses of linear, passive, multiport, high-speed interconnect networks.
First, we propose and demonstrate a new methodology that combines the efficiency of low-frequency and high-frequency resistance and inductance extraction for electrically-short interconnects using magneto-quasi-static field solvers with the accuracy of rational function interpolation using the Vector Fitting method to generate accurate SPICE-compatible dispersive macromodels for multiple, coupled wire bonds. Computational efficiency in the development of the macromodel is achieved by limiting the application of the field solver to only low frequencies, at which field penetration inside the wires is accurately resolved with a coarse discretization of the cross section of the wires, and to frequencies high enough that the skin effect is well developed and a surface impedance condition suffices to capture the frequency dependence of the wire resistance and inductance due to the skin effect.
Second, we investigate ways in which the computational cost of enforcing passivity of the generated multiport macromodel can be reduced. More specifically, two strategies were examined. The first one involved transfer function matrix element-by-element passivity assessment and enforcement. The second considered transfer function matrix bock-wise passivity enforcement. Our investigation of the two strategies and comparison to the full transfer matrix (common pole) passivity enforcement option, helped illustrate advantages and shortcomings of the various options. In summary, the advantage of working with a single set of poles often outweighs the computational savings associated with element-by-element and block-wise fitting for the case of networks with a large number of ports.
Third, we examine ways to improve the quality and physical consistency of the original data while at the same time both pruning them in a manner that preserves the accuracy of the rational fit and reducing the computational cost of the fitting process. Toward this we propose and demonstrate an adaptive sampling Vector Fitting algorithm, which adaptively reduces the number of the original sample data subject to the constraint that the causality of the data is ensured. In addition, in order to reduce the computational cost of the Vector Fitting process, we introduce the Vector Fitting via Repeated Random Sampling (VFRS) algorithm. VFRS achieves significant reduction in the computational cost of the Vector Fitting process by extracting the poles used for the rational fit of the complete set of samples through the rational function fitting of subsets of randomly selected samples.
Finally, a fast methodology is introduced for the assessment of the impact of the electromagnetic loading by adjacent wiring on a high-speed channel, in the presence of uncertainty in the geometry of the wiring layout. This is…
*Advisors/Committee Members: Cangellaris, Andreas C. (advisor), Cangellaris, Andreas C. (Committee Chair), Schutt-Ainé, José E. (committee member), Bernhard, Jennifer T. (committee member), Chen, Deming (committee member).*

Subjects/Keywords: Macromodeling; stochastic modeling; vector fitting; passivity enforcement; Adaptive Sampling; high speed interconnects

…51
CHAPTER 4 *PASSIVITY* ASSESSMENT AND *ENFORCEMENT* OF
TABULATED S-PARAMETER MATRIX… …58
4.4 *Passivity* *Enforcement* for Common-Pole, Element-by-Element and Blockwise Fitting… …140
7.2.3 Root macromodeling / *passivity* *enforcement*… …x29;
and *passivity* *enforcement* (iterative perturbation of residues) of common pole… …time of *passivity* assessment (Hamiltonian matrix)
and *passivity* *enforcement* (…

Record Details Similar Records

❌

APA · Chicago · MLA · Vancouver · CSE | Export to Zotero / EndNote / Reference Manager

APA (6^{th} Edition):

Chung, J. H. (2013). Efficient and physically consistent electromagnetic macromodeling of high-speed interconnects exhibiting geometric uncertainties. (Doctoral Dissertation). University of Illinois – Urbana-Champaign. Retrieved from http://hdl.handle.net/2142/42343

Chicago Manual of Style (16^{th} Edition):

Chung, Joon Hyung. “Efficient and physically consistent electromagnetic macromodeling of high-speed interconnects exhibiting geometric uncertainties.” 2013. Doctoral Dissertation, University of Illinois – Urbana-Champaign. Accessed December 12, 2019. http://hdl.handle.net/2142/42343.

MLA Handbook (7^{th} Edition):

Chung, Joon Hyung. “Efficient and physically consistent electromagnetic macromodeling of high-speed interconnects exhibiting geometric uncertainties.” 2013. Web. 12 Dec 2019.

Vancouver:

Chung JH. Efficient and physically consistent electromagnetic macromodeling of high-speed interconnects exhibiting geometric uncertainties. [Internet] [Doctoral dissertation]. University of Illinois – Urbana-Champaign; 2013. [cited 2019 Dec 12]. Available from: http://hdl.handle.net/2142/42343.

Council of Science Editors:

Chung JH. Efficient and physically consistent electromagnetic macromodeling of high-speed interconnects exhibiting geometric uncertainties. [Doctoral Dissertation]. University of Illinois – Urbana-Champaign; 2013. Available from: http://hdl.handle.net/2142/42343