{"id":{"repo_id":"uiuc","oai_identifier":"oai:www.ideals.illinois.edu:2142/101666"},"canonical_url":"https://search.dev.ndltd.org/etd/uiuc/oai:www.ideals.illinois.edu:2142/101666","repository":{"repo_id":"uiuc","name":"University of Illinois - Urbana-Champaign","base_url":"https://www.ideals.illinois.edu/oai-pmh"},"display":{"title":"Techniques for stochastic simulation of complex electromagnetic and circuit systems with uncertainties","abstract":"This thesis presents a set of tools and methodologies that perform fast stochastic characterization and simulation of uncertainties in electromagnetic and circuit systems. Background information on polynomial chaos and fast stochastic numerical techniques is reviewed, and discussion is offered on comparison of different approaches to stochastic simulations. The formulation for Stochastic LIM, a Stochastic Galerkin Method-based time-domain circuit solver, is presented, and some simulation results are shown comparing the new solver to Monte Carlo techniques using a commercial circuit solver. The simulator is then used to simulate several transmission line problems, including single- and multi-conductor, crosstalk, and coupled-line on a printed circuit board substrate with fiber-weave effect. Stochastic Collocation technique is discussed as a method to characterize multi-level electromagnetic-circuit simulations. A method to use Monte Carlo integration to evaluate interpolation residual is presented. The effectiveness of the proposed method is demonstrated with a high-order problem of electromagnetic waves causing interference on a printed circuit board inside a vehicle with apertures. The effectiveness of the multi-level analysis methodology is demonstrated using eye diagram opening as cost function. Additionally, a wavelet-based Stochastic Collocation technique is introduced to solve circuit problems with resonant behavior. Finally, we discuss the overall work presented in this thesis and discuss several future research directions to extend the results presented here.","abstract_html":"This thesis presents a set of tools and methodologies that perform fast stochastic characterization and simulation of uncertainties in electromagnetic and circuit systems. Background information on polynomial chaos and fast stochastic numerical techniques is reviewed, and discussion is offered on comparison of different approaches to stochastic simulations. The formulation for Stochastic LIM, a Stochastic Galerkin Method-based time-domain circuit solver, is presented, and some simulation results are shown comparing the new solver to Monte Carlo techniques using a commercial circuit solver. The simulator is then used to simulate several transmission line problems, including single- and multi-conductor, crosstalk, and coupled-line on a printed circuit board substrate with fiber-weave effect. Stochastic Collocation technique is discussed as a method to characterize multi-level electromagnetic-circuit simulations. A method to use Monte Carlo integration to evaluate interpolation residual is presented. The effectiveness of the proposed method is demonstrated with a high-order problem of electromagnetic waves causing interference on a printed circuit board inside a vehicle with apertures. The effectiveness of the multi-level analysis methodology is demonstrated using eye diagram opening as cost function. Additionally, a wavelet-based Stochastic Collocation technique is introduced to solve circuit problems with resonant behavior. Finally, we discuss the overall work presented in this thesis and discuss several future research directions to extend the results presented here.","abstract_has_math":false,"creators":["Chen, Xu"],"institution":"University of Illinois at Urbana-Champaign","degree_name":"Ph.D.","degree_level":"Dissertation","degree_discipline":"Electrical & Computer Engr","degree_department":null,"school":null,"contributors":["Cangellaris, Andreas C.","Schutt-Ainé, José E.","Başar, Tamer","Ravaioli, Umberto"],"advisors":[],"committee_chairs":[],"committee_members":[],"year":2018,"date_issued":"2018-09-27T16:30:15Z","date_published":"2018-09-27T16:30:15Z","updated_at":"2026-07-22T22:24:40Z","subjects":["stochastic, modeling, simulation, latency insertion method, circuit simulation, packaging, uncertainty quantification, stochastic galerkin method, stochastic collocation, monte carlo"],"languages":["en"],"rights":["Copyright 2018 Xu Chen"],"rights_urls":[],"identifier_entries":[]},"links":{"outbound_url":"http://hdl.handle.net/2142/101666","outbound_label":"Handle","outbound_source":"dc:identifier"},"metadata_groups":[{"id":"people","label":"People","entries":[{"key":"dc:contributor","label":"Contributor","values":["Cangellaris, Andreas C.","Schutt-Ainé, José E.","Başar, Tamer","Ravaioli, Umberto"]},{"key":"dc:creator","label":"Author","values":["Chen, Xu"]}]},{"id":"academic_context","label":"Academic Context","entries":[{"key":"dc:date","label":"Dc Date","values":["2018-09-27T16:30:15Z","2020-09-28T09:15:30Z","2018-07-03","2018-08"]},{"key":"dc:type","label":"Dc Type","values":["text"]},{"key":"thesis:degree_discipline","label":"Discipline","values":["Electrical & Computer Engr"]},{"key":"thesis:degree_level","label":"Degree Level","values":["Dissertation"]},{"key":"thesis:degree_name","label":"Degree Name","values":["Ph.D."]},{"key":"thesis:institution_name","label":"Thesis Institution Name","values":["University of Illinois at Urbana-Champaign"]}]},{"id":"subjects_keywords","label":"Subjects and Keywords","entries":[{"key":"dc:subject","label":"Dc Subject","values":["stochastic, modeling, simulation, latency insertion method, circuit simulation, packaging, uncertainty quantification, stochastic galerkin method, stochastic collocation, monte carlo"]}]},{"id":"language_rights","label":"Language and Rights","entries":[{"key":"dc:language","label":"Dc Language","values":["en"]},{"key":"dc:rights","label":"Dc Rights","values":["Copyright 2018 Xu Chen"]}]},{"id":"identifiers","label":"Identifiers","entries":[{"key":"dc:identifier","label":"Identifier","values":["http://hdl.handle.net/2142/101666"]}]},{"id":"additional","label":"Additional Metadata","entries":[{"key":"dc:description","label":"Description","values":["This thesis presents a set of tools and methodologies that perform fast stochastic characterization and simulation of uncertainties in electromagnetic and circuit systems. Background information on polynomial chaos and fast stochastic numerical techniques is reviewed, and discussion is offered on comparison of different approaches to stochastic simulations. The formulation for Stochastic LIM, a Stochastic Galerkin Method-based time-domain circuit solver, is presented, and some simulation results are shown comparing the new solver to Monte Carlo techniques using a commercial circuit solver. The simulator is then used to simulate several transmission line problems, including single- and multi-conductor, crosstalk, and coupled-line on a printed circuit board substrate with fiber-weave effect. Stochastic Collocation technique is discussed as a method to characterize multi-level electromagnetic-circuit simulations. A method to use Monte Carlo integration to evaluate interpolation residual is presented. The effectiveness of the proposed method is demonstrated with a high-order problem of electromagnetic waves causing interference on a printed circuit board inside a vehicle with apertures. The effectiveness of the multi-level analysis methodology is demonstrated using eye diagram opening as cost function. Additionally, a wavelet-based Stochastic Collocation technique is introduced to solve circuit problems with resonant behavior. Finally, we discuss the overall work presented in this thesis and discuss several future research directions to extend the results presented here.","Submission published under a 24 month embargo labeled 'U of I Access', the embargo will last until 2020-08-01","The student, Xu Chen, accepted the attached license on 2018-07-02 at 22:53.","The student, Xu Chen, submitted this Dissertation for approval on 2018-07-02 at 22:59.","This Dissertation was approved for publication on 2018-07-03 at 14:45.","DSpace SAF Submission Ingestion Package generated from Vireo submission #12713 on 2018-09-27 at 11:16:19","Made available in DSpace on 2018-09-27T16:30:15Z (GMT). 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Background information on polynomial chaos and fast stochastic numerical techniques is reviewed, and discussion is offered on comparison of different approaches to stochastic simulations. The formulation for Stochastic LIM, a Stochastic Galerkin Method-based time-domain circuit solver, is presented, and some simulation results are shown comparing the new solver to Monte Carlo techniques using a commercial circuit solver. The simulator is then used to simulate several transmission line problems, including single- and multi-conductor, crosstalk, and coupled-line on a printed circuit board substrate with fiber-weave effect. Stochastic Collocation technique is discussed as a method to characterize multi-level electromagnetic-circuit simulations. A method to use Monte Carlo integration to evaluate interpolation residual is presented. The effectiveness of the proposed method is demonstrated with a high-order problem of electromagnetic waves causing interference on a printed circuit board inside a vehicle with apertures. The effectiveness of the multi-level analysis methodology is demonstrated using eye diagram opening as cost function. Additionally, a wavelet-based Stochastic Collocation technique is introduced to solve circuit problems with resonant behavior. Finally, we discuss the overall work presented in this thesis and discuss several future research directions to extend the results presented here.","Submission published under a 24 month embargo labeled 'U of I Access', the embargo will last until 2020-08-01","The student, Xu Chen, accepted the attached license on 2018-07-02 at 22:53.","The student, Xu Chen, submitted this Dissertation for approval on 2018-07-02 at 22:59.","This Dissertation was approved for publication on 2018-07-03 at 14:45.","DSpace SAF Submission Ingestion Package generated from Vireo submission #12713 on 2018-09-27 at 11:16:19","Made available in DSpace on 2018-09-27T16:30:15Z (GMT). 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