The treatment of hyperelliptic transformations for inductance calculations in magnetostatic circuits

Author

Lotfi, Ashraf ; Feygenson, Anatoly ; van Dover, R.Bruce

Author_Institution

Bell Labs., Lucent Technol., Murray Hill, NJ, USA

Volume

2

fYear

1996

fDate

23-27 Jun 1996

Firstpage

1697

Abstract

A method is derived to reduce hyperelliptic integrals that arise in inductance calculations of cores with flanged gaps. Hyperelliptic integrals arise in higher order conformal transformations of polygons with more than 4 vertices. The solution is based on the principle of separation of moduli. The method provides accurate, closed-form, analytic solutions. It is used in the optimization of the design of inductors with protruding flanges at the gap region

Keywords

air gaps; inductance; inductors; magnetic cores; magnetostatics; optimisation; flanged gap cores; gap region; higher order conformal transformations; hyperelliptic integrals; hyperelliptic transformations; inductance calculations; inductor design optimisation; magnetostatic circuits; moduli separation; polygons; protruding flanges; Design optimization; Geometry; H infinity control; Inductance; Inductors; Magnetic analysis; Magnetic circuits; Magnetic cores; Magnetic separation; Magnetostatics;

fLanguage

English

Publisher

ieee

Conference_Titel

Power Electronics Specialists Conference, 1996. PESC '96 Record., 27th Annual IEEE

Conference_Location

Baveno

ISSN

0275-9306

Print_ISBN

0-7803-3500-7

Type

conf

DOI

10.1109/PESC.1996.548809

Filename

548809