Thinning detection system and thinning detection method
A thinning detection system includes a current applying apparatus configured to apply an AC current to electrodes installed on metal equipment which is a monitoring object, a magnetic-field measuring apparatus including an array of magnetic sensors configured to measure a magnetic field distribution of a surface side of the metal equipment; and a measurement managing apparatus configured to estimate a thinning distribution of the metal equipment based on a magnetic field distribution difference which is a difference between a reference magnetic-field distribution which is obtained in a case where thinning has not occurred in the metal equipment and a measurement magnetic-field distribution which is an actual measurement result. The measurement managing apparatus calculates a virtual current distribution of the metal equipment from the magnetic field distribution difference, and estimates the thinning distribution of the metal equipment on the basis of a virtual eddy current represented by the virtual current distribution.
1. A thinning detection system comprising:
a current applying apparatus configured to apply an AC current to electrodes installed on metal equipment which is a monitoring object;
a magnetic-field measuring apparatus including an array of magnetic sensors configured to measure a magnetic field distribution of a surface side of the metal equipment; and
a measurement managing apparatus configured to estimate a thinning distribution of the metal equipment on the basis of a magnetic field distribution difference which is a difference between a reference magnetic-field distribution which is obtained in a case where thinning has not occurred in the metal equipment and a measurement magnetic-field distribution which is an actual measurement result,
wherein the measurement managing apparatus calculates a virtual current distribution of the metal equipment from the magnetic field distribution difference, and estimates the thinning distribution of the metal equipment on the basis of a virtual eddy current represented by the virtual current distribution,
wherein the virtual eddy current is a difference between a first current distribution which is obtained in a case in which thinning has not occurred in the metal equipment and a second current distribution which is obtained in a case in which thinning has occurred in the metal equipment, and
wherein the measurement managing apparatus is configured to:
estimate a thinning shape on the basis of a spiral shape of the virtual eddy current; and
estimate a thinning depth on the basis of a density of the virtual eddy current.
2. The thinning detection system according to claim 1 , wherein:
the measurement managing apparatus is configured to:
approximate a current path of the metal equipment by an oriented square lattice; and
calculate the virtual current distribution by solving a quadratic programming problem for minimizing a distance between the magnetic field distribution difference and a magnetic flux density distribution on each magnetic sensor caused by the virtual current distribution under a constraint condition which is a current conservation law for each node of the oriented square lattice.
3. The thinning detection system according to claim 1 , wherein:
the measurement managing apparatus is configured to correct the measurement magnetic-field distribution on the basis of positions of the magnetic sensors and the metal equipment.
4. The thinning detection system according to claim 3 , wherein:
with respect to a certain magnetic sensor, on the basis of magnetic flux densities obtained by AC currents with different frequencies applied to the metal equipment, the measurement managing apparatus is configured to calculate the positions of the corresponding magnetic sensor and the metal equipment.
5. The thinning detection system according to claim 3 , wherein:
the measurement managing apparatus is configured to calculate the positions of a certain magnetic sensor and the metal equipment on the basis of a magnetic flux density measured by the corresponding magnetic sensor, and a magnetic flux density measured by an auxiliary magnetic sensor disposed on the extension of the corresponding magnetic sensor from the metal equipment.
6. A thinning detection method comprising:
applying an AC current to electrodes installed on metal equipment which is a monitoring object;
measuring a magnetic field distribution of a surface side of the metal equipment by an array of magnetic sensors; and
estimating a thinning distribution of the metal equipment on the basis of a magnetic field distribution difference which is a difference between a reference magnetic-field distribution which is obtained in a case where thinning has not occurred in the metal equipment and a measurement magnetic-field distribution which is an actual measurement result,
wherein the thinning estimation calculates a virtual current distribution of the metal equipment from the magnetic field distribution difference, and estimates the thinning distribution of the metal equipment on the basis of a virtual eddy current represented by the virtual current distribution,
wherein the virtual eddy current is a difference between a first current distribution which is obtained in a case in which thinning has not occurred in the metal equipment and a second current distribution which is obtained in a case in which thinning has occurred in the metal equipment, and
wherein the estimating comprises:
estimating a thinning shape on the basis of a spiral shape of the virtual eddy current; and
estimating a thinning depth on the basis of a density of the virtual eddy current.
7. The thinning detection system according to claim 1 , wherein the thinning distribution comprises a position, shape and depth.
8. The thinning detection system according to claim 1 , wherein the virtual eddy current comprises a current density and a spiral direction.