Stochastic LIM for Transient Solution of Electromagnetic and Circuit Problems with Uncertainties

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Abstract

Stochastic LIM was introduced for fast and accurate simulation of circuits with random elements. The method combines Latency Insertion Method with Stochastic Galerkin Method to formulate a finite difference-based transient circuit solver for simulation of circuits with uncertainties. The random nodal voltages and branch currents, along with the random circuit element values, are expanded using generalized Polynomial Chaos basis functions to form an augmented system which is solved using LIM. A sampling-based method proposed to calculate expansion coefficients as inputs to Stochastic LIM.

Original languageEnglish (US)
Title of host publication2019 International Applied Computational Electromagnetics Society Symposium in Miami, ACES-Miami 2019
PublisherInstitute of Electrical and Electronics Engineers Inc.
ISBN (Electronic)9780996007887
StatePublished - May 10 2019
Event2019 International Applied Computational Electromagnetics Society Symposium in Miami, ACES-Miami 2019 - Miami, United States
Duration: Apr 14 2019Apr 18 2019

Publication series

Name2019 International Applied Computational Electromagnetics Society Symposium in Miami, ACES-Miami 2019

Conference

Conference2019 International Applied Computational Electromagnetics Society Symposium in Miami, ACES-Miami 2019
CountryUnited States
CityMiami
Period4/14/194/18/19

Fingerprint

Transient Solution
electromagnetism
Uncertainty
Networks (circuits)
Augmented System
Polynomial Chaos
Random Element
Generalized Polynomials
Galerkin method
Stochastic Methods
Galerkin methods
Galerkin Method
Chaos theory
Insertion
Basis Functions
Latency
chaos
insertion
Finite Difference
polynomials

ASJC Scopus subject areas

  • Computer Networks and Communications
  • Computational Mathematics
  • Instrumentation
  • Radiation

Cite this

Chen, X., Schutt-Aine, J. E., & Cangellaris, A. C. (2019). Stochastic LIM for Transient Solution of Electromagnetic and Circuit Problems with Uncertainties. In 2019 International Applied Computational Electromagnetics Society Symposium in Miami, ACES-Miami 2019 [8712858] (2019 International Applied Computational Electromagnetics Society Symposium in Miami, ACES-Miami 2019). Institute of Electrical and Electronics Engineers Inc..

Stochastic LIM for Transient Solution of Electromagnetic and Circuit Problems with Uncertainties. / Chen, Xu; Schutt-Aine, Jose E; Cangellaris, Andreas C.

2019 International Applied Computational Electromagnetics Society Symposium in Miami, ACES-Miami 2019. Institute of Electrical and Electronics Engineers Inc., 2019. 8712858 (2019 International Applied Computational Electromagnetics Society Symposium in Miami, ACES-Miami 2019).

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Chen, X, Schutt-Aine, JE & Cangellaris, AC 2019, Stochastic LIM for Transient Solution of Electromagnetic and Circuit Problems with Uncertainties. in 2019 International Applied Computational Electromagnetics Society Symposium in Miami, ACES-Miami 2019., 8712858, 2019 International Applied Computational Electromagnetics Society Symposium in Miami, ACES-Miami 2019, Institute of Electrical and Electronics Engineers Inc., 2019 International Applied Computational Electromagnetics Society Symposium in Miami, ACES-Miami 2019, Miami, United States, 4/14/19.
Chen X, Schutt-Aine JE, Cangellaris AC. Stochastic LIM for Transient Solution of Electromagnetic and Circuit Problems with Uncertainties. In 2019 International Applied Computational Electromagnetics Society Symposium in Miami, ACES-Miami 2019. Institute of Electrical and Electronics Engineers Inc. 2019. 8712858. (2019 International Applied Computational Electromagnetics Society Symposium in Miami, ACES-Miami 2019).
Chen, Xu ; Schutt-Aine, Jose E ; Cangellaris, Andreas C. / Stochastic LIM for Transient Solution of Electromagnetic and Circuit Problems with Uncertainties. 2019 International Applied Computational Electromagnetics Society Symposium in Miami, ACES-Miami 2019. Institute of Electrical and Electronics Engineers Inc., 2019. (2019 International Applied Computational Electromagnetics Society Symposium in Miami, ACES-Miami 2019).
@inproceedings{1e1b8dee1e39444c83aaa14e6b779659,
title = "Stochastic LIM for Transient Solution of Electromagnetic and Circuit Problems with Uncertainties",
abstract = "Stochastic LIM was introduced for fast and accurate simulation of circuits with random elements. The method combines Latency Insertion Method with Stochastic Galerkin Method to formulate a finite difference-based transient circuit solver for simulation of circuits with uncertainties. The random nodal voltages and branch currents, along with the random circuit element values, are expanded using generalized Polynomial Chaos basis functions to form an augmented system which is solved using LIM. A sampling-based method proposed to calculate expansion coefficients as inputs to Stochastic LIM.",
author = "Xu Chen and Schutt-Aine, {Jose E} and Cangellaris, {Andreas C}",
year = "2019",
month = "5",
day = "10",
language = "English (US)",
series = "2019 International Applied Computational Electromagnetics Society Symposium in Miami, ACES-Miami 2019",
publisher = "Institute of Electrical and Electronics Engineers Inc.",
booktitle = "2019 International Applied Computational Electromagnetics Society Symposium in Miami, ACES-Miami 2019",
address = "United States",

}

TY - GEN

T1 - Stochastic LIM for Transient Solution of Electromagnetic and Circuit Problems with Uncertainties

AU - Chen, Xu

AU - Schutt-Aine, Jose E

AU - Cangellaris, Andreas C

PY - 2019/5/10

Y1 - 2019/5/10

N2 - Stochastic LIM was introduced for fast and accurate simulation of circuits with random elements. The method combines Latency Insertion Method with Stochastic Galerkin Method to formulate a finite difference-based transient circuit solver for simulation of circuits with uncertainties. The random nodal voltages and branch currents, along with the random circuit element values, are expanded using generalized Polynomial Chaos basis functions to form an augmented system which is solved using LIM. A sampling-based method proposed to calculate expansion coefficients as inputs to Stochastic LIM.

AB - Stochastic LIM was introduced for fast and accurate simulation of circuits with random elements. The method combines Latency Insertion Method with Stochastic Galerkin Method to formulate a finite difference-based transient circuit solver for simulation of circuits with uncertainties. The random nodal voltages and branch currents, along with the random circuit element values, are expanded using generalized Polynomial Chaos basis functions to form an augmented system which is solved using LIM. A sampling-based method proposed to calculate expansion coefficients as inputs to Stochastic LIM.

UR - http://www.scopus.com/inward/record.url?scp=85066467862&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=85066467862&partnerID=8YFLogxK

M3 - Conference contribution

AN - SCOPUS:85066467862

T3 - 2019 International Applied Computational Electromagnetics Society Symposium in Miami, ACES-Miami 2019

BT - 2019 International Applied Computational Electromagnetics Society Symposium in Miami, ACES-Miami 2019

PB - Institute of Electrical and Electronics Engineers Inc.

ER -