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

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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..