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

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    Type
    Article
    Authors
    Li, Ping
    Jiang, Li Jun
    Bagci, Hakan cc
    KAUST Department
    Computer, Electrical and Mathematical Sciences and Engineering (CEMSE) Division
    Electrical Engineering Program
    Date
    2017-03-22
    Online Publication Date
    2017-03-22
    Print Publication Date
    2017-09
    Permanent link to this record
    http://hdl.handle.net/10754/623821
    
    Metadata
    Show full item record
    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.
    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.
    Sponsors
    National Natural Science Foundation of China[61234001]
    Hong Kong UGC AoE PC04 08
    Publisher
    Institute of Electrical and Electronics Engineers (IEEE)
    Journal
    IEEE Transactions on Components, Packaging and Manufacturing Technology
    DOI
    10.1109/TCPMT.2017.2671413
    Additional Links
    http://ieeexplore.ieee.org/document/7883911/
    ae974a485f413a2113503eed53cd6c53
    10.1109/TCPMT.2017.2671413
    Scopus Count
    Collections
    Articles; Electrical and Computer Engineering Program; Computer, Electrical and Mathematical Science and Engineering (CEMSE) Division

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