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Related Concept Videos

Calculation of Self-inductance01:29

Calculation of Self-inductance

527
The self-inductance of a circuit, often simply called the inductance, is a purely geometric factor that depends only on the circuit component's structure. More specifically, it depends on the shape and size of the component that lets the flux pass through it, thus inducing an electric field that opposes any current passing through it.
Since the effect of the induced electric field and the back EMF generated depends on the rate of change of current and the self-inductance, the inductance...
527
Inductance: Solid Cylindrical Conductor01:24

Inductance: Solid Cylindrical Conductor

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To calculate the inductance of a solid cylindrical conductor, consider a 1-meter section of a non-magnetic, current-carrying conductor with radius r. Disregarding end effects and assuming uniform current density, Ampere's law helps determine the magnetic field inside the conductor. This law states that the magnetic field intensity H is concentric and constant within the conductor.
Given the uniform current distribution, the magnetic field Hx and flux density Bx inside the conductor are...
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Self-Inductance01:24

Self-Inductance

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Mutual inductance arises when a current in one circuit produces a changing magnetic field that induces an emf in another circuit. On the other hand, self-inductance arises when the current passing through the circuit changes, creating a changing magnetic flux, resulting in inductance in the same circuit.
Consider a circuit connected to an AC source. As the current varies with time, the magnetic flux through the circuit correspondingly changes. Faraday's law tells us that an emf would...
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Inductance: Single-Phase And Three-Phase Line01:28

Inductance: Single-Phase And Three-Phase Line

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Understanding the inductance of transmission lines is crucial for efficient design and operation in electrical power systems. This discussion delves into the inductance characteristics of single-phase two-wire and three-phase three-wire transmission lines with equal phase spacing.
Single-Phase Two-Wire Line:
A single-phase line consists of two solid cylindrical conductors, denoted as x and y. Each conductor carries phasor currents ix and iy, respectively. Given that the sum of these currents is...
300
Series and Parallel Inductors01:17

Series and Parallel Inductors

767
In electrical circuits, integrating inductors into the toolkit of passive elements requires navigating the intricacies of series and parallel combinations involving these components. Practical circuits often feature configurations of multiple inductors, and understanding how to determine their equivalent inductance is vital.
For a series connection of N inductors, each carrying the same current, applying Kirchhoff's voltage law unveils a crucial relationship. Substituting the expression for...
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Inductors01:20

Inductors

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An inductor, also known as a choke, is a circuit component created to have a specific inductance. Inductors are among the crucial circuit components used in modern electronics, along with resistors and capacitors. They serve as a barrier against changes in a circuit's current. An inductor tends to suppress current changes in an alternating-current circuit that are faster than desired. In a direct-current circuit, an inductor aids in preserving a constant current despite changes in the...
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A Fast and Precise Tool for Multi-Layer Planar Coil Self-Inductance Calculation.

Andreia Faria1, Luís Marques2, Carlos Ferreira3

  • 1ALGORITMI Center, University of Minho, 4800-058 Guimarães, Portugal.

Sensors (Basel, Switzerland)
|July 24, 2021
PubMed
Summary

An open-source tool accurately calculates multi-layer planar coil self-inductance using Grover equations. This fast, geometry-independent method overcomes limitations in current design and simulation tools.

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

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Area of Science:

  • Electrical Engineering
  • Electromagnetics
  • Computational Physics

Background:

  • Designing planar coils for accurate self-inductance calculation is challenging due to limitations in existing simulation tools.
  • Current methods often suffer from geometric constraints, reduced accuracy, or excessive time and cost.
  • A need exists for a faster, more versatile tool for planar coil design and analysis.

Purpose of the Study:

  • To introduce an open-source tool for rapid and precise analytical calculation of multi-layer planar coil self-inductance.
  • To provide a geometry-independent solution that overcomes limitations of existing design and simulation approaches.
  • To offer an efficient alternative for researchers and engineers involved in planar coil design.

Main Methods:

  • The tool employs Grover equations, a validated analytical method applicable to any planar coil geometry.
  • The model's accuracy was rigorously tested against experimental measurements and Finite Element Model (FEM) simulations.
  • Comparisons were made with established analytical methods commonly found in scientific literature.

Main Results:

  • The analytical calculations demonstrated high precision, with errors below 2.5% compared to standard FEM simulations.
  • Validation against experimental measurements showed errors below 10% for single-layer coils and below 5% for double-layer coils (excluding connectors).
  • The tool's performance was consistent across various geometries, confirming its versatility.

Conclusions:

  • The developed open-source tool provides a significant advancement in calculating multi-layer planar coil self-inductance.
  • It combines precision, speed, and geometric independence, addressing key limitations of current methodologies.
  • This tool offers an accessible, efficient, and resource-light solution for planar coil design and analysis.