I need to design an eddy current test probe for inspection of ferromagnetic test piece. I have come across a sample solution that solves for Eigenfrequency of a PCB coil in COMSOL. I needed to know whether COMSOL takes into consideration the stray capacitance between the turns of the winding or not.
Could anyone tell what is the physics behind the calculation of Eigenfrequencies and is it the same as 'resonant frequency' of the coil?
The simplest approach could be to analyze the Inductive and Capacitive reactance of the coil and compute the Resonant frequency by equating the two i.e. when Inductive reactance = capacitive reactance. Is it how COMSOL calculates Eigenfrequency?
Mohd Sadaf Set up a simulation in COMSOL using the Electromagnetic Waves, Frequency Domain interface to calculate the resonance frequency of a spiral PCB coil. You may define the coil's shape and material qualities, as well as the parameters of the surrounding environment. After you've set up the simulation, you may calculate the Eigenfrequencies of the coil, which indicate the frequencies at which the coil will resonant.
The Eigenfrequencies are determined using the boundary conditions and the material parameters. COMSOL considers the stray capacitance between the winding turns, as well as additional considerations like as the skin effect and resistive losses. As a result, the Eigenfrequencies estimated by COMSOL should be a decent approximation of the coil's resonant frequency.
The mechanics underlying Eigenfrequencies requires calculating the electromagnetic fields within and outside the coil. The system's Eigenvalues and Eigenvectors are determined by solving Maxwell's equations in the frequency domain. The Eigenvalues reflect the frequencies at which electromagnetic waves in the system can propagate, whereas the Eigenvectors describe the modes of propagation.
In a nutshell, the Eigenfrequency of the coil is the frequency at which it will resonate, and it is derived by solving for the system's Eigenvalues. The resonant frequency may be calculated by equating the coil's inductive and capacitive reactances, However, due to the different elements involved, the computation is more complicated. COMSOL takes these aspects into consideration and calculates the Eigenfrequencies more accurately.
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