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Coupled resonant circuit - QuickField simulation example

Example courtesy of Milan Ćuković.

Transfer function of two coupled resonant air-core coils versus excitation frequency and coil spacing, with one coil driven and the other connected to a load.

Engineering question

How to calculate the effect of frequency and coil spacing on the transfer function of two coupled resonant air-core coils?

Answer
Sweep frequency and spacing, excite the primary coil, and calculate the magnitude and phase of currents in both coils.

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Typical applications
coupled air-core coils, resonant inductive coils, wireless power coils

Coupled resonant circuit

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Simulation problem

Problem Type
Axisymmetric problem of AC magnetics.

Geometry
Coupled resonant circuit Coil #1 Coil #2 ΔX Ø20 mm Ø40 mm

Given
Copper electric conductivity 59.6 MS/m
Voltage source 5 V (r.m.s. value), frequency sweep f = 1.. 21 kHz

Task
Calculate the transfer function for different coil spacing ΔX and AC frequency f.

Solution
Voltage source is applied to the Coil #1. Coil #1 current and Coil #2 current magnitude and phase are measured.
The set of QuickField problems is automatically generated by the Label Mover tool.

Results
Magnetic field distribution and induced currents
Coupled resonant circuit

Video

  • Coupled resonant circuit (Einflussfaktoren auf die Effizienz der Energieübertragung bei gekoppelten LC-Schwingkreisen)
  • View simulation report in PDF

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