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Related Concept Videos

Magnetic Flux01:18

Magnetic Flux

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The magnetic flux measures the number of magnetic field lines passing through a given surface area. The SI unit for magnetic flux is the weber (Wb). Magnetic flux is a scalar quantity. It depends on three factors: the strength of the magnetic field B, the area through which the field lines pass, and the relative orientation of the field with the surface area.
Suppose a surface is divided into elements of area dA. For each element, the component of the magnetic field that is normal to the...
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Faraday's Law01:10

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Faraday's law state that the induced emf is the negative change in the magnetic flux per unit of time. Any change in the magnetic field or change in the orientation of the area of the coil with respect to the magnetic field induces a voltage (emf). The magnetic flux measures the number of magnetic field lines through a given surface area. Magnetic flux is estimated from the integral of the dot product of the magnetic field vector and the area vector. The negative sign describes the...
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Calculation of Self-inductance01:29

Calculation of Self-inductance

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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...
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Magnetic Field Of A Current Loop01:16

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Consider a circular loop with a radius a, that carries a current I. The magnetic field due to the current at an arbitrary point P along the axis of the loop can be calculated using the Biot-Savart law.
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Magnetic Field of a Solenoid01:18

Magnetic Field of a Solenoid

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A solenoid is a conducting wire coated with an insulating material, wound tightly in the form of a helical coil. The magnetic field due to a solenoid is the vector sum of the magnetic fields due to its individual turns. Therefore, for an ideal solenoid, the magnetic field within the solenoid is directly proportional to the number of turns per unit length and the current. Conversely, the magnetic field outside the solenoid is zero.
Consider a solenoid with 100 turns wrapped around a cylinder of...
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Magnetic Vector Potential01:15

Magnetic Vector Potential

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In electrostatics, the electric field can be written as the negative gradient of the potential. In magnetostatics, the zero divergence of the magnetic field ensures that the magnetic field can be expressed as the curl of a vector potential. This potential is known as the magnetic vector potential.
Consider an ideal solenoid with n turns per unit length and radius R. If I is the current through the solenoid, the magnetic field inside the solenoid is expressed as the product of vacuum...
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Fabrication of Magnetic Platforms for Micron-Scale Organization of Interconnected Neurons
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Magnetic flux leakage defect size estimation method based on physics-informed neural network.

Yi Xiong1,2, Shuai Liu1,2, Litao Hou3

  • 1College of Safety and Ocean Engineering, China University of Petroleum-Beijing, Beijing, People's Republic of China.

Philosophical Transactions. Series A, Mathematical, Physical, and Engineering Sciences
|November 19, 2023
PubMed
Summary

This study introduces a physics-informed neural network for magnetic flux leakage (MFL) defect size estimation. The method integrates physical constraints, improving accuracy and reducing violations in non-destructive testing.

Keywords:
defect sizein-pipe inspectionmagnetic dipole modelmagnetic flux leakagephysics-informed neural network

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Area of Science:

  • Engineering
  • Materials Science
  • Computer Science

Background:

  • Magnetic flux leakage (MFL) is a key non-destructive testing method for pipeline integrity.
  • Current MFL defect quantification relies heavily on data-driven approaches, potentially overlooking physical principles.
  • Machine learning advancements offer new possibilities for MFL defect size estimation.

Purpose of the Study:

  • To propose a novel physics-informed neural network (PINN) for accurate MFL defect size estimation.
  • To integrate physical constraints, specifically the magnetic dipole model, into the neural network training process.
  • To evaluate the performance of the PINN against purely data-driven methods.

Main Methods:

  • Development of a physics-informed neural network incorporating magnetic dipole model constraints.
  • Training the neural network using synthetic MFL data from virtual pipeline defect testing.
  • Comparative analysis of the PINN against data-driven neural networks and support vector machines.

Main Results:

  • The physics-informed approach demonstrated improved predictive accuracy in MFL defect size estimation.
  • The method effectively mitigated physical violations often associated with purely data-driven models.
  • Validation using synthetic data confirmed the efficacy of the proposed physics-informed strategy.

Conclusions:

  • Physics-informed machine learning offers a robust framework for MFL defect size estimation.
  • Integrating physical knowledge enhances the reliability and accuracy of non-destructive testing.
  • The proposed PINN method provides a valuable advancement for pipeline integrity assessment.