Publisher DOI: 10.1109/TCPMT.2013.2264838
Title: Efficient DC analysis of power planes using contour integral method with circular elements
Language: English
Authors: Duan, Xiaomin 
Brüns, Heinz-Dietrich 
Schuster, Christian 
Keywords: Contour integral method; IR drop; modal expansion; power integrity; printed circuit board; signal integrity
Issue Date: 19-Jun-2013
Publisher: IEEE
Source: IEEE Transactions on Components, Packaging and Manufacturing Technology 8 (3): art. no. 6544255 i.e. pp. 1409-1419 (2013-06-25)
Abstract (english): 
Contour integral method, well-known for the analysis of 2-D full-wave effects on power planes, is extended here for the computation of DC resistances of power planes. In particular, circular elements, e.g., vias and antipad holes, are treated using cylindrical modal expansion functions, which leads to a more efficient and accurate calculation than the conventional implementation by the linear discretization. For individual power planes, the method produces a resistor network consisting of only the nodes that are associated with power or ground vias, which can be further employed to formulate solutions for complete multilayer structures. The method is applied to several power plane configurations and results are validated by a 3-D finite element method solver. The efficiency of the extended method is analyzed and a reduction of the number of unknowns by a factor of four for the circular elements can be expected by the modal expansion. Good accuracy can be achieved by including up to the second higher order mode for dense clusters of antipad holes. © 2012 IEEE.
ISSN: 2156-3985
Institute: Theoretische Elektrotechnik E-18 
Document Type: Article
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