Inductance calculation of planar multi-layer and multi-wire coils: An analytical approach

✍ Scribed by Christian Peters; Yiannos Manoli

• Book ID: 104092439
• Publisher: Elsevier Science
• Year: 2008
• Tongue: English
• Weight: 557 KB
• Volume: 145-146
• Category: Article
• ISSN: 0924-4247
• DOI: 10.1016/j.sna.2007.11.003

✦ Synopsis

This paper describes for the first time an analytical algorithm for calculating the inductance of planar multi-wire coils with arbitrary number of parallel wires and layers. The special topology of multi-wire coils, with many parallel wires connected at both endings, allows efficient telemetric energy transfer and low Joule losses due to a reduced DC resistance. The algorithm is based on an integral solution starting from Biot-Savart's law and allows a fast calculation of the coil inductance.

The algorithm is verified with a large number of fabricated and measured coils with inductance values ranging from 45 nH to 10 H. The small coils are microfabricated on a polyimide foil with electroplated gold wires. The larger coils are realized on a printed circuit board. The coils have up to seven parallel wires and two layers. The inductance is measured at 1 MHz and shows good agreement to the calculation results. The error between calculation and measurement is less than 10% and proves the correctness of the presented algorithm.