Angular Spectral Density and Information Entropy for Eddy Current Distribution

Here, a new method is proposed to quantitatively evaluate the eddy current distribution induced by different exciting coils of an eddy current probe. Probability of energy allocation of a vector field is modeled via conservation of energy and imitating the wave function in quantum mechanics. The idea of quantization and the principle of circuit sampling is utilized to discretize the space of the vector field. Then, a method to calculate angular spectral density and Shannon information entropy is proposed. Eddy current induced by three different exciting coils is evaluated with this method, and the specific nature of eddy current testing is discussed.

[1]  Yanko Sheiretov,et al.  Development of Meandering Winding Magnetometer (MWM(Registered) Eddy Current Sensors for the Health Monitoring, Modeling and Damage Detection of High Temperature Composite Materials , 2011 .

[2]  Lalita Udpa,et al.  Magnetoresistive Sensor With Magnetic Balance Measurement for Inspection of Defects Under Magnetically Permeable Fasteners , 2016, IEEE Sensors Journal.

[3]  Shengbo Jiao,et al.  Sensitivity boost of rosette eddy current array sensor for quantitative monitoring crack , 2016 .

[4]  Neil J. Goldfine,et al.  Early detection and monitoring of fatigue in high strength steels with MWM-Arrays , 2005 .

[5]  Carl H. Smith,et al.  Magnetoresistive sensors for nondestructive evaluation (Invited Paper) , 2005, SPIE Smart Structures and Materials + Nondestructive Evaluation and Health Monitoring.

[6]  Satish S. Udpa,et al.  Differential Sensor Measurement With Rotating Current Excitation for Evaluating Multilayer Structures , 2016, IEEE Sensors Journal.

[7]  Luigi Ferrigno,et al.  Crack Depth Estimation by Using a Multi-Frequency ECT Method , 2013, IEEE Transactions on Instrumentation and Measurement.

[8]  Luigi Ferrigno,et al.  An experimental comparison of multi-frequency and chirp excitations for eddy current testing on thin defects , 2015 .

[9]  Thomas W. Krause,et al.  Pulsed Eddy Current Inspection of Support Structures in Steam Generators , 2015, IEEE Sensors Journal.

[10]  R. Feynman,et al.  Quantum Mechanics and Path Integrals , 1965 .

[11]  Chen Guolon Analysis on the Working Principle of Eddy Current Probe Using the Koch Curve Exciting Coils , 2015 .

[12]  Satish S. Udpa,et al.  Rotating Field EC-GMR Sensor for Crack Detection at Fastener Site in Layered Structures , 2015, IEEE Sensors Journal.

[13]  Boby George,et al.  A Novel GMR-Based Eddy Current Sensing Probe With Extended Sensing Range , 2016, IEEE Transactions on Magnetics.

[14]  Peter Cawley,et al.  Current deflection NDE for the inspection and monitoring of pipes , 2016 .

[15]  Satish S. Udpa,et al.  Novel Rotating Current Probe With GMR Array Sensors for Steam Generate Tube Inspection , 2016, IEEE Sensors Journal.

[16]  Weihan Pang,et al.  Shannon information entropy of eddy current density distribution , 2017 .