Mutual Inductance Calculation Formula for Planar Square Coils


Durmuş F., Karagöl S.

2nd International Symposium on Multidisciplinary Studies and Innovative Technologies (ISMSIT), Kizilcahamam, Turkey, 19 - 21 October 2018, pp.531-535, (Full Text) identifier identifier

  • Publication Type: Conference Paper / Full Text
  • Doi Number: 10.1109/ismsit.2018.8567040
  • City: Kizilcahamam
  • Country: Turkey
  • Page Numbers: pp.531-535
  • Keywords: Mutual inductance, Planar square coils
  • Ondokuz Mayıs University Affiliated: Yes

Abstract

The mutual inductance calculation depends on the shape, size and position of the coils. The reciprocal inductance between the two filaments (thin wire) is used for the double-layer Neumann's formula. However, as the number of parts of these inductors will increase with the number of turns, calculating will be difficult and a complex situation will occur. Therefore, a general formula required depending on the number of turns, the length of the filament and the distance between the windings can be expressed mathematically. In this study, a general formula for square coil was obtained. The beginning of the formula is based on the Neumann method. Mutual inductance was calculated for two, three, four and five-turn square coils and a certain order was observed between the results. According to Neumann method, numerical calculations were made between two filaments. As a result, a simple formula has been created to allow easy calculation of complex calculations of filaments having a plurality of turns. Symbolic calculations were made with the Wolfram Mathematica program and the generalized formula was transferred to the Matlab programming language.