Low Frequency domain analysis of alternating magnetic flux leakage method
- Department of physics, SR.C, Islamic Azad University, Tehran, Iran
- Laser and Plasma Research Institute, Shahid Beheshti University, Tehran, Iran
Received: 2025-05-10
Revised: 2025-06-15
Accepted: 2025-06-26
Published in Issue 2025-06-30
Copyright (c) 2025 Hamid Eftekhari, Mohammad Mehdi Tehranchi (Author)

This work is licensed under a Creative Commons Attribution 4.0 International License.
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Abstract
Alternating Magnetic Flux Leakage method was used to investigate the relation between the leaked magnetic field and crack dimension by changing the frequency of the magnetic field induced in the specimen. In this way, the alternating magnetic field with frequency in range of 1-100 Hz was induced into a defective ferromagnetic steel plate and the magnetic field over the surface was measured. Then, two sensors in differential modes were used to extract the effect of frequency on the relative Magnetic Flux Leakage signal. The results indicated that the frequency of minimum of the relative Magnetic Flux Leakage increases linearly by increasing the crack depth. The experimental results were verified by numerical finite element simulation method.
Keywords
- Magnetic flux leakage,
- Low frequency,
- Sensors
References
- Huang S, Zhao W (2016) Magnetic Flux Leakage: Theories and Imaging Technologies. De Gruyter, Berlin/Boston
- Coramik M, Ege Y (2017) Discontinuity inspection in pipelines: A comparison review. Measurement. https://doi.org/10.1016/j.measurement.2017.07.058
- Zhang D, Zhang E, Pan S, (2020) A new signal processing method for the nondestructive testing of a steel wire rope using a small device. NDT & E International. https://doi.org/10.1016/j.ndteint.2020.102299
- Gao X, Li Y, Zhou X, Dai X, Zhang Y, You D, Zhang N (2020) Multidirectional magneto-optical imaging system for weld defects inspection. Optics and Lasers in Engineering. https://doi.org/10.1016/j.optlaseng.2019.105812.
- Zhang O, Wei X (2019) Analysis of MFL Model for Sucker Rod Defects and Its MFL Signal Processing. Journal of Testing and Evaluation. https://doi.org/10.1520/JTE20170687
- Zhou Z, Liu Z (2020) Fault Diagnosis of Steel Wire Ropes Based on Magnetic Flux Leakage Imaging under Strong Shaking and Strand Noises. IEEE Transactions on Industrial Electronics. https://doi.org/10.1109/TIE.2020.2973874
- Egea Y, Bicakcıb S, Gunesb H, Citakc H, Coramik M (2019) An application of BRANN and MFL methods: Determining crack type and physical properties on M5 steel sheets. Measurement. https://doi.org/10.1016/j.measurement.2019.02.064
- Jingpin J, Junjun S, Nan L, Guorong S, Bin W, Cunfu H (2014) Micro-crack detection using a collinear wave mixing technique. NDT & E International. https://doi.org/10.1016/j.ndteint.2013.12.004
- Ege Y, Coramik M (2018) A new measurement system using magnetic flux leakage method in pipeline inspection. Measurement. https://doi.org/10.1016/j.measurement.2018.03.064
- Deng P, He C, Lyu Y, Song G, Jiao J, Wu B (2019) Detection of Inner Wall Circumferential Cracks in the Special-Shaped Pipes Using Surface Waves. Journal of Nondestructive Evaluation. https://doi.org/10.1007/s10921-018-0554-5
- Wei Z, Jianchun F, Xiangyuan L, Shujie L (2020) Quantitative research of defects for pipelines based on metal magnetic memory testing. Insight - Non-Destructive Testing and Condition Monitoring. https://doi.org/10.1784/insi.2020.62.5.292
- Sood S C, Assimacopoulos G (2014) NDE Welds Inspection Qualifications for Pipework and Pipelines. Sensor Letters. https://doi.org/10.1166/sl.2014.3302
- Xiangdong G, Xiaohu Z, Congyi W, Nvjie M, Yanxi Z, Deyong Y (2020) Skin depth and detection ability of magneto-optical imaging for weld defects in alternating magnetic field. Journal of Manufacturing Systems. https://doi.org/10.1016/j.jmsy.2020.02.006
- Tehranchi MM, Eftekhari H (2020) Miniaturized magneto-optical imaging sensor for crack and microcrack detection. Optik. https://doi.org/10.1016/j.ijleo.2019.163830
- Tehranchi MM, Hamidi SM, Eftekhari H, Karbaschi M, Ranjbaran M (2011) The inspection of magnetic flux leakage from metal surface cracks by magneto-optical sensors. Sens. Actuators A Phys. http://dx.doi.org/10.1016/j.sna.2011.09.010.
- Tehranchi MM, Eftekhari H, Ranjbaran M. (2013) Imaging Metal Surface Cracks with Giant Magnetoimpedance Sensor. Sensor Letters. http://doi.org/10.1166/sl.2013.2770
- Tsukada K et al (2017) Detection of Inner Cracks in Thick Steel Plates Using Unsaturated AC Magnetic Flux Leakage Testing With a Magnetic Resistance Gradiometer. IEEE Transactions on Magnetics. https://doi.org/10.1109/TMAG.2017.2713880
- Xiangdong G et al (2019) Elucidation of magnetic flux leakage for welding defect detection at different magnetic field directions through alternating magnetic field measurement. Insight - Non-Destructive Testing and Condition Monitoring. https://doi.org/10.1784/insi.2019.61.12.720
- Lou W et al (2018) Internal Defect Detection in Ferromagnetic Material Equipment Based on Low-Frequency Electromagnetic Technique in 20# Steel Plate. IEEE SENSORS JOURNAL. https://doi.org/10.1109/JSEN.2018.2850977
- Feng Y, Zhang L, Zheng W (2018) Simulation analysis and experimental study of an alternating current field measurement probe for pipeline inner inspection. NDT & E International. https://doi.org/10.1016/j.ndteint.2018.04.015
- Mardaninejad R, Safizadeh M S (2019) Gas Pipeline Corrosion Mapping Through Coating Using Pulsed Eddy Current Technique. Russ J Nondestruct Test. https://doi.org/10.1134/S1061830919110068
- Gaoa Y et al (2015) Multiple cracks detection and visualization using magnetic fluxleakage and eddy current pulsed thermography. Sens. Actuators A Phys. https://doi.org/10.1016/j.sna.2015.09.011
- Kim D, Udpa L, Udpa S (2004) Remote field eddy current testing for detection of stress corrosion cracks in gas transmission pipelines. Materials Letters. https://doi.org/10.1016/j.matlet.2004.01.006
- Akbari‑Khezri A, Hesamedin H (2019) Determination of Crack Depth Profile in Cylindrical Metallic Structures, Using Alternating Current Field Measurement Data. Journal of Nondestructive Evaluation. https://doi.org/10.1007/s10921-019-0596-3
- Dehui Wu, Zhitian Liu, Xiaohong Wang, Lingxin Su (2017) Composite magnetic flux leakage detection method for pipelines using alternating magnetic field excitation. NDT and E International. https://doi.org/10.1016/j.ndteint.2017.07.002
- Rongbiao Wang, Yihua Kang et al (2020) A Novel Magnetic Flux Leakage Testing Method Based on AC and DCComposite Magnetization. Journal of Nondestructive Evaluation. https://doi.org/10.1007/s10921-020-00730-0
- Charles Alexander, Matthew Sadiku (2006) Fundamentals of electric circuits. 3th ed. McGraw-Hill Inc. New York.
- Nagel J (2018) Induced Eddy Currents in Simple Conductive Geometries: Mathematical Formalism Describes the Excitation of Electrical Eddy Currents in a Time-Varying Magnetic Field. IEEE Antennas and Propagation Magazine. https://doi.org/10.1109/MAP.2017.2774206
- Sophian A, Tian GY, Zairi S (2006) Pulsed magnetic flux leakage techniques for crack detection and characterization. Sens. Actuator A. https://doi.org/10.1016/j.sna.2005.07.013