Evidence map›Paper›PMID 34300602›Full record

ArticleSensors (Basel, Switzerland)2021

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

Andreia Faria, Luís Marques, Carlos Ferreira, Filipe Alves, Jorge Cabral

Abstract read
In one paragraph

Article in Sensors (Basel, Switzerland), 2021. The graph could read no effect estimate from its abstract, so it casts no vote on the map. Cited by 6 papers.

0numbers the graph read from it
0cells of the map it votes in
6citing papers in PubMed
–field-weighted citation impact
1 · What the graph read from it

What it found

Each row is one number read from the abstract, on the scale the paper reported it, with its interval. Left of the dashed line favours the treatment, right favours the comparator. Under each row is the sentence it came from. New to these charts? A ten-minute tutorial.

The abstract states no effect estimate the extractor could read, or names no intervention and outcome on the map, so this paper lights no cell and moves no belief. It is still indexed, cited and linked below.

2 · The registry

The trial behind it

Trials whose registry record cites this paper, or whose number appears in the abstract. A trial that started after this paper was published is citing it as background, not reporting it.

Neither the registry nor the abstract names a trial number. If this is a trial report, that itself is worth knowing.

3 · Its place in the literature

Who cites it

6 citing papers in PubMed.

  1. Review
  2. [Inductance calculation method for transcranial magnetic stimulation figure-8 coils Accounting for spatial mutual inductance].Sheng wu yi xue gong cheng xue za zhi = Journal of biomedical engineering = Shengwu yixue gongchengxue zazhi · 2026
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4 · The record

Corrections and comments

PubMed lists nothing against this paper. Absence here is not a guarantee, only a check that was made.

5 · Who and what money

Authors and funding

5 authors.

Andreia FariaALGORITMI Center, University of Minho, 4800-058 Guimarães, Portugal.ORCID 0000-0002-7117-1478
Luís MarquesCentre of Physics of Minho and Porto Universities, 4710-057 Braga, Portugal.ORCID 0000-0001-7477-6934
Carlos FerreiraPhD AESI Bosch Car Multimedia, 4705-820 Braga, Portugal.
Filipe AlvesIntegrated Micro and Nanotechnologies, International Iberian Nanotechnology Laboratory, 4715-330 Braga, Portugal.ORCID 0000-0002-3439-8235
Jorge CabralALGORITMI Center, University of Minho, 4800-058 Guimarães, Portugal.ORCID 0000-0001-9954-9746

Funding

European Regional Development Fund POCI-01-0247-FEDER-037902Fundação para a Ciência e a Tecnologia PD/BD/128142/2016Fundação para a Ciência e a Tecnologia PD/BDE/135102/2017
6 · The paper itself

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.

Indexed as

analytical toolfinite element methodmulti-layer inductance coilmutual-inductanceplanar coilself-inductance

Identifiers

PMID34300602
PMCPMC8309821

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Registered trials

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Read under generation 80e0d062 · epoch 390. Bibliography from PubMed, PubMed Central and OpenAlex; grants from NIH RePORTER; trial links from ClinicalTrials.gov; estimates, votes and beliefs from the OpenQuestion graph.