Online Capacitance Modeling Tool for Conductors Represented as Simply-Connected Polygonal Geometries in 2D

Autor:	Jason V. Clark, Fengyuan Li
Rok vydání:	2012
Předmět:	Discretization Approximation error Schwarz–Christoffel mapping Simply connected space Mathematical analysis Conformal map Geometry Actuator Capacitance Finite element method Mathematics
Zdroj:	Journal of Sensor Technology. :155-163
ISSN:	2161-1238 2161-122X
DOI:	10.4236/jst.2012.23022
Popis:	We present an online tool for calculating the capacitance between two conductors represented as simply-connected polygonal geometries in 2D with Dirichlet boundaries and homogeneous dielectric. Our tool can be used to model the so-called 2.5D geometries, where the 3rd dimension can be extruded out of plane. Micro-electro-mechanical systems (MEMS) with significant facing surfaces may be approximated with 2.5D geometry. Our tool compares favorably in accuracy and speed to the finite element method (FEM). We achieve modeling accuracy by treating the corners exactly with a Schwarz-Christoffel mapping. And we achieve fast results by not needing to discretize boundaries and subdomains. As a test case, we model a MEMS torsional actuator. Our tool computes capacitance about 1000 times faster than FEM with 4.7% relative error.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_________::789f669bd4118d6ef7a648cbc46de854 https://doi.org/10.4236/jst.2012.23022 Zobrazit plný text záznamu