Optimising planar inductors

Timo Varpula

Research output: Book/ReportReport

Abstract

A numerical simulation program, QvalueC, was developed for the design of planar inductors on lossy substrates in two-dimensional geometry. Integral equations are used for the estimation of the overall impedance of a circular inductor at a given frequency. The program computes the current density distribution in the wire that has a finite electric conductivity. This so called magnetic computation gives the series inductance and series resistance of the coil. By using Green functions, integral equations are derived for equivalent surface charges that represent the conductor in the electric problem. From the surface charges the parallel capacitance and the parallel resistance are obtained. The code is written with the view to designing planar coils in four dielectric layers, but also solenoids with multilayered conductors can be computed. The approach taken allows an accurate simulation of the following dissipation mechanisms affecting the Q-value: ohmic losses in the wire, skin-depth effect, proximity (eddy current) effect, and losses in supporting dielectric but conductive layers via capacitive coupling. Simulated and measured results from planar inductors on lossy silicon and other substrates show a good agreement.
Original languageEnglish
Place of PublicationEspoo
PublisherVTT Technical Research Centre of Finland
Number of pages31
ISBN (Print)951-38-5641-0
Publication statusPublished - 2000
MoE publication typeNot Eligible

Publication series

SeriesVTT Tiedotteita - Meddelanden - Research Notes
Number2017
ISSN1235-0605

Fingerprint

Surface charge
Integral equations
Wire
Solenoids
Substrates
Eddy currents
Green's function
Inductance
Skin
Capacitance
Current density
Silicon
Geometry
Computer simulation

Keywords

  • numerical simulation program
  • design of planar inductors
  • planar coils

Cite this

Varpula, T. (2000). Optimising planar inductors. Espoo: VTT Technical Research Centre of Finland. VTT Tiedotteita - Meddelanden - Research Notes, No. 2017
Varpula, Timo. / Optimising planar inductors. Espoo : VTT Technical Research Centre of Finland, 2000. 31 p. (VTT Tiedotteita - Meddelanden - Research Notes; No. 2017).
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Varpula, T 2000, Optimising planar inductors. VTT Tiedotteita - Meddelanden - Research Notes, no. 2017, VTT Technical Research Centre of Finland, Espoo.

Optimising planar inductors. / Varpula, Timo.

Espoo : VTT Technical Research Centre of Finland, 2000. 31 p. (VTT Tiedotteita - Meddelanden - Research Notes; No. 2017).

Research output: Book/ReportReport

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Varpula T. Optimising planar inductors. Espoo: VTT Technical Research Centre of Finland, 2000. 31 p. (VTT Tiedotteita - Meddelanden - Research Notes; No. 2017).