2006
DOI: 10.2528/pier05020402
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A Complete Variational Method for Capacitance Extractions

Abstract: In the past, coupling capacitances between conductors was extracted using charge distributions directly. In this paper a set of new generalized variational formulas are derived. They are complete since they are valid not only for self-capacitances, but also for mutual capacitances. As for the realistic numerical implementation, elastance matrices become asymmetrical because of numerical method used. Then a more general variational formula is derived to account for the asymmetrical elastance matrix case. By the… Show more

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Cited by 8 publications
(3 citation statements)
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“…Many works concerning non-uniform transmission lines have been done, such as the propagation property analysis [1][2][3], transient property analysis [4], crosstalk analysis [5], capacitance extraction [6][7][8], intelligent applications [9][10][11] etc. Usually, full wave methods based on field theory can be used to solve the problem of non-uniform transmission 840 Zhang, Wang, and Liang line operating at high frequency.…”
Section: Introductionmentioning
confidence: 99%
“…Many works concerning non-uniform transmission lines have been done, such as the propagation property analysis [1][2][3], transient property analysis [4], crosstalk analysis [5], capacitance extraction [6][7][8], intelligent applications [9][10][11] etc. Usually, full wave methods based on field theory can be used to solve the problem of non-uniform transmission 840 Zhang, Wang, and Liang line operating at high frequency.…”
Section: Introductionmentioning
confidence: 99%
“…A similar approach is used in Boundary Element Method (BEM) [13] where the singular point is surrounded by a small circle of radius ε and then the solution is examined as ε → 0 However, the present paper proposes the Quasi Monte Carlo Integration (QMCI) technique [14][15][16][17] which takes care of the singularity problem inherently by judiciously choosing such methods for generation of quasi Monte Carlo points over the domain of integration, that the need for function evaluation at the singular point does not arise, thus proving to be a better option than MCI. Various methods have been used for extraction of capacitances of several capacitors [18,19]. In this paper, the QMCI technique in MoM solution of integral equation for determining the unknown charge distribution and then the evaluation of capacitances of parallel plate, cylindrical and spherical capacitors has been implemented.…”
Section: Introductionmentioning
confidence: 99%
“…The first approach is numerical method [1,2], the other is analytical method. The numerical method is more accurate than the analytical approach, but it is complex and time-consuming.…”
Section: Introductionmentioning
confidence: 99%