Transient Analysis of Lumped Circuit Networks Loaded Thin Wires By DGTD Method

Handle URI:
http://hdl.handle.net/10754/604754
Title:
Transient Analysis of Lumped Circuit Networks Loaded Thin Wires By DGTD Method
Authors:
Li, Ping; Shi, Yifei ( 0000-0002-3508-1010 ) ; Jiang, Li Jun; Bagci, Hakan ( 0000-0003-3867-5786 )
Abstract:
With the purpose of avoiding very fine mesh cells in the proximity of a thin wire, the modified telegrapher’s equations (MTEs) are employed to describe the thin wire voltage and current distributions, which consequently results in reduced number of unknowns and augmented Courant-Friedrichs-Lewy (CFL) number. As hyperbolic systems, both the MTEs and the Maxwell’s equations are solved by the discontinuous Galerkin time-domain (DGTD) method. In realistic situations, the thin wires could be either driven or loaded by circuit networks. The thin wire-circuit interface performs as a boundary condition for the thin wire solver, where the thin wire voltage and current used for the incoming flux evaluation involved in the DGTD analyzed MTEs are not available. To obtain this voltage and current, an auxiliary current flowing through the thin wire-circuit interface is introduced at each interface. Corresponding auxiliary equations derived from the invariable property of characteristic variable for hyperbolic systems are developed and solved together with the circuit equations established by the modified nodal analysis (MNA) modality. Furthermore, in order to characterize the field and thin wire interactions, a weighted electric field and a volume current density are added into the MTEs and Maxwell-Ampere’s law equation, respectively. To validate the proposed algorithm, three representative examples are presented.
KAUST Department:
Computer, Electrical and Mathematical Sciences and Engineering (CEMSE) Division; Center for Uncertainty Quantification in Computational Science and Engineering (SRI-UQ)
Citation:
Transient Analysis of Lumped Circuit Networks Loaded Thin Wires By DGTD Method 2016:1 IEEE Transactions on Antennas and Propagation
Publisher:
Institute of Electrical and Electronics Engineers (IEEE)
Journal:
IEEE Transactions on Antennas and Propagation
Issue Date:
31-Mar-2016
DOI:
10.1109/TAP.2016.2543803
Type:
Article
ISSN:
0018-926X; 1558-2221
Additional Links:
http://ieeexplore.ieee.org/lpdocs/epic03/wrapper.htm?arnumber=7445182
Appears in Collections:
Articles; Computer, Electrical and Mathematical Sciences and Engineering (CEMSE) Division

Full metadata record

DC FieldValue Language
dc.contributor.authorLi, Pingen
dc.contributor.authorShi, Yifeien
dc.contributor.authorJiang, Li Junen
dc.contributor.authorBagci, Hakanen
dc.date.accessioned2016-04-07T13:32:02Zen
dc.date.available2016-04-07T13:32:02Zen
dc.date.issued2016-03-31en
dc.identifier.citationTransient Analysis of Lumped Circuit Networks Loaded Thin Wires By DGTD Method 2016:1 IEEE Transactions on Antennas and Propagationen
dc.identifier.issn0018-926Xen
dc.identifier.issn1558-2221en
dc.identifier.doi10.1109/TAP.2016.2543803en
dc.identifier.urihttp://hdl.handle.net/10754/604754en
dc.description.abstractWith the purpose of avoiding very fine mesh cells in the proximity of a thin wire, the modified telegrapher’s equations (MTEs) are employed to describe the thin wire voltage and current distributions, which consequently results in reduced number of unknowns and augmented Courant-Friedrichs-Lewy (CFL) number. As hyperbolic systems, both the MTEs and the Maxwell’s equations are solved by the discontinuous Galerkin time-domain (DGTD) method. In realistic situations, the thin wires could be either driven or loaded by circuit networks. The thin wire-circuit interface performs as a boundary condition for the thin wire solver, where the thin wire voltage and current used for the incoming flux evaluation involved in the DGTD analyzed MTEs are not available. To obtain this voltage and current, an auxiliary current flowing through the thin wire-circuit interface is introduced at each interface. Corresponding auxiliary equations derived from the invariable property of characteristic variable for hyperbolic systems are developed and solved together with the circuit equations established by the modified nodal analysis (MNA) modality. Furthermore, in order to characterize the field and thin wire interactions, a weighted electric field and a volume current density are added into the MTEs and Maxwell-Ampere’s law equation, respectively. To validate the proposed algorithm, three representative examples are presented.en
dc.language.isoenen
dc.publisherInstitute of Electrical and Electronics Engineers (IEEE)en
dc.relation.urlhttp://ieeexplore.ieee.org/lpdocs/epic03/wrapper.htm?arnumber=7445182en
dc.rights(c) 2016 IEEE. Personal use of this material is permitted. Permission from IEEE must be obtained for all other users, including reprinting/ republishing this material for advertising or promotional purposes, creating new collective works for resale or redistribution to servers or lists, or reuse of any copyrighted components of this work in other works.en
dc.subjectCharacteristic variableen
dc.subjectdiscontinuous Galerkin time-domain (DGTD) methoden
dc.subjecthyperbolic systemen
dc.subjectmodified nodal analysis (MNA)en
dc.subjectmodified telegrapher’s equation (MTE)en
dc.subjectthin wire-circuit boundaryen
dc.titleTransient Analysis of Lumped Circuit Networks Loaded Thin Wires By DGTD Methoden
dc.typeArticleen
dc.contributor.departmentComputer, Electrical and Mathematical Sciences and Engineering (CEMSE) Divisionen
dc.contributor.departmentCenter for Uncertainty Quantification in Computational Science and Engineering (SRI-UQ)en
dc.identifier.journalIEEE Transactions on Antennas and Propagationen
dc.eprint.versionPost-printen
dc.contributor.institutionDepartment of Electrical and Computer Engineering, Purdue University, West Lafayette, IN 47906, United Statesen
dc.contributor.institutionDepartment of Electrical and Electronic Engineering, The University of Hong Kong (HKU), Pokfulam Road, Hong Kong SARen
dc.contributor.affiliationKing Abdullah University of Science and Technology (KAUST)en
kaust.authorLi, Pingen
kaust.authorShi, Yifeien
kaust.authorBagci, Hakanen
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