A Fast and Precise Tool for Multi-Layer Planar Coil Self-Inductance Calculation

Abstract

An open-source tool that allows for a fast and precise analytical calculation of multi-layer planar coils self-inductance, without any geometry limitation is proposed here. The process of designing and simulating planar coils to achieve reliable results is commonly limited on accuracy and or geometry, or are too time-consuming and expensive, thus a tool to speed up this design process is desired. The model is based on Grover equations, valid for any geometry. The validation of the tool was performed through the comparison with experimental measurements, Finite Element Model (FEM) simulations, and the main analytical methods usually used in literature, with errors registered to be below 2.5%, when compared to standard FEM simulations, and when compared to experimental measurements they are below 10% in the case of the 1-layer coils, and below 5% in the 2-layer coils (without taking into consideration the coil connectors). The proposed model offers a new approach to the calculation of the self-inductance of planar coils of several layers that combines precision, speed, independence of geometry, easy interaction, and no need for extra resources.

Analytical tool for optimization of position sensors based on eddy currents effect

“…Regarding the calculation of the self-inductance of a planar coil, the model presented in [ 11 ] is used. This is an analytical model based on the Grover equations to calculate the self and mutual inductance of and between planar coils.…”

“…To extract the total inductance of the coil, as proposed in [ 11 ], first it has to be calculated the self-inductances of the 1-layer coil (L Coil ) and the target one-turn coil (L Target ), as well as the mutual inductance between both (M Coil+Target ) (according to eq. (1) ).…”

Analysis of Uncertainties in Inductance of Multi-Layered Printed-Circuit Spiral Coils

“…Extending ( 4 ) to the case of a coil pair with rectangular cross-sections is rather complex, as it involves an evaluation of an indefinite integral of Bessel functions [ 8 , 13 ]. Numerous approximate methods have been proposed (for example, [ 14 , 15 , 16 , 17 ]) In this paper, we used the approximation that replaces the coil with a pair of filaments displaced by “geometric mean distance” (GMD) and using ( 4 ) to compute the inductances between all filaments (Lyle’s method) [ 18 ]. The essence of this method is illustrated in Figure 10 .…”

Analysis and Optimization of Planar Excitation Coil for EPS Torque Senor Based on GWO

“…compared with the energized solenoid coil, The planar spiral coil has low mass, high volume efficiency, and good mechanical stability [4]. In addition, since planar coils can be printed on traditional circuit boards using flexible materials, they can be produced in high precision, low cost, repeatable, and predictable batches [5]. Planar coil units have been playing an irreplaceable role in wireless power transmission, nondestructive testing, displacement sensors, angular point sensor and planar transformers, etc.…”