Abstract
In this paper, an analytical calculation of the inductance of an air-core planar spiral coil is presented. The inner and outer radius of the planar spiral coil is determined from the general equation of the filament of the wire. Using the Neumann integral formula, the expression of inductance is obtained. The double integral of Neumann’s formula is computed numerically to evaluate the inductance. The accuracy of the calculation results is verified by comparing it with the conventional and the simulation results. Different geometry of spiral coils is fabricated to validate it experimentally. Finally, the comparison is performed with the experiment results, which show good agreement. Thus, the accuracy of the calculation result paves the way for designing and optimizing the spiral coil for electromagnetic applications.
Highlights
3 verifies the calculation result with theExperother other conventional method and simulation the finite element method (FEM)
The error of the calculation result relative to the FEM result is less than 6%, and accuracy is maintained for all cases
This paper introduces a new wayerror to compute the inductance of the single-layer pla5
Summary
In [5–7], the self-inductance of the planar spiral coil is computed by considering it as a group of concentric circles. The accuracy of the formulas decreases when the wire diameter of a spiral coil is modified Their exact derivation detail has not been determined, and instead of an analytical method, the inductance is computed empirically. ANSYS Maxwell 3-D software is one of the best methods to determine the selfinductance of a spiral coil of any shape; the simulation requires substantial calculation time. To solve this issue, an accurate expression of self-inductance of a planar spiral coil is proposed in this paper, which includes all the parameters affecting the inductance.
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