Please use this identifier to cite or link to this item: http://localhost/handle/Hannan/628115
Title: Transient Analysis of Lumped Circuit Networks-Loaded Thin Wires By DGTD Method
Authors: Ping Li;Yifei Shi;Li Jun Jiang;Hakan Bağcı
subject: hyperbolic system|modified telegrapher’s equation (MTE)|modified nodal analysis (MNA)|Characteristic variable|thin wire-circuit boundary|discontinuous Galerkin time-domain (DGTD) method
Year: 2016
Publisher: IEEE
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.
URI: http://localhost/handle/Hannan/180808
http://localhost/handle/Hannan/628115
ISSN: 0018-926X
1558-2221
volume: 64
issue: 6
Appears in Collections:2016

Files in This Item:
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Title: Transient Analysis of Lumped Circuit Networks-Loaded Thin Wires By DGTD Method
Authors: Ping Li;Yifei Shi;Li Jun Jiang;Hakan Bağcı
subject: hyperbolic system|modified telegrapher’s equation (MTE)|modified nodal analysis (MNA)|Characteristic variable|thin wire-circuit boundary|discontinuous Galerkin time-domain (DGTD) method
Year: 2016
Publisher: IEEE
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.
URI: http://localhost/handle/Hannan/180808
http://localhost/handle/Hannan/628115
ISSN: 0018-926X
1558-2221
volume: 64
issue: 6
Appears in Collections:2016

Files in This Item:
File Description SizeFormat 
7445182.pdf2.51 MBAdobe PDFThumbnail
Preview File
Title: Transient Analysis of Lumped Circuit Networks-Loaded Thin Wires By DGTD Method
Authors: Ping Li;Yifei Shi;Li Jun Jiang;Hakan Bağcı
subject: hyperbolic system|modified telegrapher’s equation (MTE)|modified nodal analysis (MNA)|Characteristic variable|thin wire-circuit boundary|discontinuous Galerkin time-domain (DGTD) method
Year: 2016
Publisher: IEEE
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.
URI: http://localhost/handle/Hannan/180808
http://localhost/handle/Hannan/628115
ISSN: 0018-926X
1558-2221
volume: 64
issue: 6
Appears in Collections:2016

Files in This Item:
File Description SizeFormat 
7445182.pdf2.51 MBAdobe PDFThumbnail
Preview File