# Discontinuous Galerkin Time-Domain Analysis of Power-Ground Planes Taking Into Account Decoupling Capacitors

Handle URI:
http://hdl.handle.net/10754/623821
Title:
Discontinuous Galerkin Time-Domain Analysis of Power-Ground Planes Taking Into Account Decoupling Capacitors
Authors:
Li, Ping; Jiang, Li Jun; Bagci, Hakan ( 0000-0003-3867-5786 )
Abstract:
In this paper, a discontinuous Galerkin time-domain (DGTD) method is developed to analyze the power-ground planes taking into account the decoupling capacitors. In the presence of decoupling capacitors, the whole physical system can be split into two subsystems: 1) the field subsystem that is governed by Maxwell's equations that will be solved by the DGTD method, and 2) the circuit subsystem including the capacitor and its parasitic inductor and resistor, which is going to be characterized by the modified nodal analysis algorithm constructed circuit equations. With the aim to couple the two subsystems together, a lumped port is defined over a coaxial surface between the via barrel and the ground plane. To reach the coupling from the field to the circuit subsystem, a lumped voltage source calculated by the integration of electric field along the radial direction is introduced. On the other hand, to facilitate the coupling from the circuit to field subsystem, a lumped port current source calculated from the circuit equation is introduced, which serves as an impressed current source for the field subsystem. With these two auxiliary terms, a hybrid field-circuit matrix equation is established, which enables the field and circuit subsystems are solved in a synchronous scheme. Furthermore, the arbitrarily shaped antipads are considered by enforcing the proper wave port excitation using the magnetic surface current source derived from the antipads supported electric eigenmodes. In this way, the S-parameters corresponding to different modes can be conveniently extracted. To further improve the efficiency of the proposed algorithm in handling multiscale meshes, the local time-stepping marching scheme is applied. The proposed algorithm is verified by several representative examples.
KAUST Department:
Computer, Electrical and Mathematical Sciences and Engineering (CEMSE) Division; Electrical Engineering Program
Citation:
Li P, Jiang LJ, Bagci H (2017) Discontinuous Galerkin Time-Domain Analysis of Power-Ground Planes Taking Into Account Decoupling Capacitors. IEEE Transactions on Components, Packaging and Manufacturing Technology: 1–10. Available: http://dx.doi.org/10.1109/TCPMT.2017.2671413.
Publisher:
Institute of Electrical and Electronics Engineers (IEEE)
Journal:
IEEE Transactions on Components, Packaging and Manufacturing Technology
Issue Date:
22-Mar-2017
DOI:
10.1109/TCPMT.2017.2671413
Type:
Article
ISSN:
2156-3950; 2156-3985
National Natural Science Foundation of China[61234001]; Hong Kong UGC AoE PC04 08
http://ieeexplore.ieee.org/document/7883911/
Appears in Collections:
Articles; Electrical Engineering Program; Computer, Electrical and Mathematical Sciences and Engineering (CEMSE) Division

DC FieldValue Language
dc.contributor.authorLi, Pingen
dc.contributor.authorJiang, Li Junen
dc.contributor.authorBagci, Hakanen
dc.date.accessioned2017-05-31T11:23:07Z-
dc.date.available2017-05-31T11:23:07Z-
dc.date.issued2017-03-22en
dc.identifier.citationLi P, Jiang LJ, Bagci H (2017) Discontinuous Galerkin Time-Domain Analysis of Power-Ground Planes Taking Into Account Decoupling Capacitors. IEEE Transactions on Components, Packaging and Manufacturing Technology: 1–10. Available: http://dx.doi.org/10.1109/TCPMT.2017.2671413.en
dc.identifier.issn2156-3950en
dc.identifier.issn2156-3985en
dc.identifier.doi10.1109/TCPMT.2017.2671413en
dc.identifier.urihttp://hdl.handle.net/10754/623821-
dc.description.abstractIn this paper, a discontinuous Galerkin time-domain (DGTD) method is developed to analyze the power-ground planes taking into account the decoupling capacitors. In the presence of decoupling capacitors, the whole physical system can be split into two subsystems: 1) the field subsystem that is governed by Maxwell's equations that will be solved by the DGTD method, and 2) the circuit subsystem including the capacitor and its parasitic inductor and resistor, which is going to be characterized by the modified nodal analysis algorithm constructed circuit equations. With the aim to couple the two subsystems together, a lumped port is defined over a coaxial surface between the via barrel and the ground plane. To reach the coupling from the field to the circuit subsystem, a lumped voltage source calculated by the integration of electric field along the radial direction is introduced. On the other hand, to facilitate the coupling from the circuit to field subsystem, a lumped port current source calculated from the circuit equation is introduced, which serves as an impressed current source for the field subsystem. With these two auxiliary terms, a hybrid field-circuit matrix equation is established, which enables the field and circuit subsystems are solved in a synchronous scheme. Furthermore, the arbitrarily shaped antipads are considered by enforcing the proper wave port excitation using the magnetic surface current source derived from the antipads supported electric eigenmodes. In this way, the S-parameters corresponding to different modes can be conveniently extracted. To further improve the efficiency of the proposed algorithm in handling multiscale meshes, the local time-stepping marching scheme is applied. The proposed algorithm is verified by several representative examples.en
dc.description.sponsorshipNational Natural Science Foundation of China[61234001]en
dc.description.sponsorshipHong Kong UGC AoE PC04 08en
dc.publisherInstitute of Electrical and Electronics Engineers (IEEE)en
dc.relation.urlhttp://ieeexplore.ieee.org/document/7883911/en
dc.subjectCapacitorsen
dc.subjectCircuit subsystemsen
dc.subjectCouplingsen
dc.subjectIntegrated circuit modelingen
dc.subjectMathematical modelen
dc.subjectPorts (Computers)en
dc.subjectTime-domain analysisen
dc.titleDiscontinuous Galerkin Time-Domain Analysis of Power-Ground Planes Taking Into Account Decoupling Capacitorsen
dc.typeArticleen
dc.contributor.departmentComputer, Electrical and Mathematical Sciences and Engineering (CEMSE) Divisionen
dc.contributor.departmentElectrical Engineering Programen
dc.identifier.journalIEEE Transactions on Components, Packaging and Manufacturing Technologyen
dc.contributor.institutionDepartment of Electrical and Electronic Engineering, The University of Hong Kong, Hong Kong.en
kaust.authorLi, Pingen
kaust.authorBagci, Hakanen