Precise calculation of capacitances of complex-shaped capacitive sensor-elements by the method of direct field-strength determination

Author

Gorbova, Galina M. ; Gorbov, Mikhail M. ; Meijer, Gerard C M

Author_Institution

Electron. Instrum., TUDelft, Delft, Netherlands

Volume

2

fYear

2002

fDate

2002

Firstpage

1239

Abstract

The method of direct field-strength determination, in combination with the method of conformal mapping, explained in this paper, is elegantly applied for precise analytical calculation of the capacitances of complex-shaped systems of electrodes. Because of the analogy of mathematical formulations, this method can be also applied for calculation of stationary magnetic, electrical and thermal fields. In this paper we will indicate for which geometries of sensor-elements the method can be used to design capacitive sensors The procedure of calculation, novel example and some applications of this method are presented.

Keywords

capacitive sensors; diameter measurement; displacement measurement; electrodes; field strength measurement; capacitances; complex-shaped capacitive sensor-elements; conformal mapping; direct field-strength determination; electrical fields; electrodes; mathematical formulations; stationary magnetic fields; thermal fields; Capacitance; Capacitive sensors; Conductive films; Electrodes; Electrostatics; Equations; Insulation; Low voltage; Permittivity; Shape;

fLanguage

English

Publisher

ieee

Conference_Titel

Sensors, 2002. Proceedings of IEEE

Print_ISBN

0-7803-7454-1

Type

conf

DOI

10.1109/ICSENS.2002.1037293

Filename

1037293