Efficient inductance calculation in interconnect structures by applying the Monte Carlo method

Harlander, C.; Sabelka, R.; Selberherr, S.

doi:10.1016/s0026-2692(03)00147-2

Cited by 7 publications

(3 citation statements)

References 17 publications

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“…Because of that there have been many efforts to develop efficient and accurate methods for fast inductance calculation of the inductors. Some of the well-known inductance extractors in the scientific community are: FastHenry (Kamon et al, 1994) (based on the partial element equivalent circuit method), ASITIC (Niknejad and Meyer, 1998) (based on equivalent circuit formulation through applying Maxwell's equations), FastImp (Zhu et al, 2005) (employing the surface integral formulation) and its modification through mixed surface integral formulation (Yu et al, 2007), smart analysis programs (Harlander et al, 2003) (based on advanced Monte Carlo algorithm), analytical algorithm for multi-wire coils (Peters and Manoli, 2008) (based on Biot-Savart's law), parallel iterative method (Mahawar and Sarin, 2003), INDCAL (Stojanović et al, 2006) (decomposing meander inductor into its constituent segments), the inductance formulas of square spiral inductor by duality and synthetic asymptote (Tang and Chow, 2002) or method for calculation of the mutual inductance between circular coils (Babic and Akyel, 2008) (based on a filament technique similar to that suggested by Grover (1964)), etc.…”

Section: Introductionmentioning

confidence: 99%

Parallel computing applied to inductance calculation for flexible inductors

Jeranče

Stojanović²,

Samardžić³

et al. 2013

COMPEL - The International Journal for Computation and Mathematics in Electrical and Electronic Engineering

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Purpose -The motivation for this research work is the need for an efficient software tool for inductance calculation of components in flexible electronics. A software package PROVOD has been developed and it has produced very accurate results but the applied numerical method can lead to a huge amount of calculations. The aim of this research is to apply the parallel computing to this specific computational technique and to investigate the impact of increasing the number of parallel executing threads. Design/methodology/approach -The largest possible amount of operations is put in parallel using the fact that the inductance between two segments is a sum of independent elements. OpenMP and Microsoft's Concurrency Runtime have been tested as parallel programming techniques. Findings -Parallel computing with a different number of threads (up to 24) has been tested with OpenMP. A significant increase in computational speed (up to 21 times) has been obtained. Research limitations/implications -The research is limited by the available number of parallel processors.Practical implications -Accurate and fast inductance calculation for flexible electronic components is possible to achieve. The impact of parallel processing is proven. Social implications -The proposed method of calculation acceleration of inductances can be helpful in the design and optimization of new flexible devices in electronics. Originality/value -Parallel computing is applied to the design of flexible electronic components. It is shown that a large number of parallel processors can be efficiently used in this type of calculation. The obtained results are interesting for people involved in the design of flexible components, and generally, for researchers/engineers dealing with similar electromagnetic problems.

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Section: Introductionmentioning

confidence: 99%

Parallel computing applied to inductance calculation for flexible inductors

Jeranče

Stojanović²,

Samardžić³

et al. 2013

COMPEL - The International Journal for Computation and Mathematics in Electrical and Electronic Engineering

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“…Inductors of spiral shape (square, octagonal, circular) are most frequently applied, although their fabrication requires more metal levels. In earlier published papers (Koutsoyannopoulos et al , 1997; Jenei et al , 2002) are presented simulators for analytical calculation of inductance of spiral inductors, or inductance calculation in interconnect structures (Harlander et al , 2003; Zhu et al , 2001) but there is no software tool for quick and accurate calculation of meander's inductance.…”

Section: Introductionmentioning

confidence: 99%

Novel efficient methods for inductance calculation of meander inductor

Stojanović

Živanov

Damnjanović

2006

COMPEL - The International Journal for Computation and Mathematics in Electrical and Electronic Engineering

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PurposePresent 3D electromagnetic simulators have high accuracy but they are time and memory expensive. Owing to a fast and simple expression for inductance is also necessary for initial inductor design. In this paper, new efficient methods for total inductance calculation of meander inductor, are given. By using an algorithm, it is possible to predict correctly all inductance variations introduced by varying geometry parameters such as number of turns, width of conductor or spacing between conductors.Design/methodology/approachThe starting point for the derivation of the recurrent formula is Greenhouse theory. Greenhouse decomposed inductor into its constituent segments. Meander inductor is divided into straight conductive segments. Then the total inductance of the meander inductor is a sum of self‐inductances of all segments and the negative and positive mutual inductances between all combinations of straight segments. The monomial equation for the total inductance of meander inductor has been obtained by fitting procedure. The fitting technique, using the method of least squares, finds the parameters of the monomial equation that minimize the sum of squares of the error between the accurate data and fitted equation. The paper presents new expression for inductance of meander inductor, in the monomial form, which is suitable for optimization via geometric programming. The computed inductances are compared with measured data from the literature.FindingsThe first, recurrent, expression has the advantage that it indicates to the designer how the relative contributions of self, positive, and negative mutual inductance are related to the geometrical parameters. The second expression presents the inductance of the meander inductor in the monomial form, so that the optimization of the inductor can be done by procedure of the geometric programming. Simplicity and relatively good accuracy are the advantages of this expression, but on the other hand the physical sense of the expression is being lost. Thus, the effects of various geometry parameters on inductance are analyzed using two expressions and the software tool INDCAL.Practical implicationsApplied flexible efficient methods for inductance calculation of meander inductor are able to significantly increase the speed of RF and sensor integrated circuit design.Originality/valueFor the first time a simple expression for fast inductance calculation for meander inductor in monomial form is presented. It is explained how such an expression is generated, which can be directly implemented in circuit simulators.

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“…The inductors of spiral shape (square, octagonal, circular) are most frequently applied, although for their fabrication more metal levels are needed. In earlier published papers [1], [2] are presented the simulators for analytical calculation of inductance of spiral inductors, or inductance calculation in interconnect structures [3], [4], but there is no a software tool for quick and accurate calculation of meander's inductance.…”

Section: Introductionmentioning

confidence: 99%

Compact form of expressions for inductance calculation of meander inductors

2004

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The quality of modeling and analyzing of RF IC with planar inductors extremely depends on accuracy of expression for inductance. In this paper efficient methods for total inductance calculation of meander inductor are given. By using proposed algorithm, we are able to predict correctly all inductance variations introduced by varying geometry parameters. Our. developed program gives possibility for fast and accurate inductance calculation for meander inductor, while new expression in monomial form is useful for optimization of this inductor. The results validations, given by proposed software tool are conformed by comparison with measured data from literature

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Efficient inductance calculation in interconnect structures by applying the Monte Carlo method

Cited by 7 publications

References 17 publications

Parallel computing applied to inductance calculation for flexible inductors

Parallel computing applied to inductance calculation for flexible inductors

Novel efficient methods for inductance calculation of meander inductor

Compact form of expressions for inductance calculation of meander inductors

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