CN112557498B - Vortex energy distribution quantitative detection method and device based on cross entropy - Google Patents
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Abstract
The invention provides a quantitative detection method and a quantitative detection device for eddy energy distribution based on cross entropy, wherein the method comprises the steps of dividing a plane into N annular areas outwards by taking an eddy sensor as a center; obtain a circular ring-shaped region R i Calculating the total energy of the eddy current of the plane; for the annular region R i Assigning a weight coefficient k related to circumference i Calculating a weighted annular region R i Is defined, the total energy of the eddy currents of the plane with weight; calculating probability distribution and average distribution of vortex energy; substituting the probability distribution and the average distribution of the vortex energy into a cross entropy calculation formula to obtain the cross entropy of the vortex radial energy distribution based on the cross entropy. According to the scheme of the invention, the eddy energy distribution in the investigation region can be determined during the design of the planar eddy current sensor, and the difference of the two eddy energy distributions can be quantitatively determined.
Description
Technical Field
The invention relates to the field of electromagnetic nondestructive detection, in particular to a quantitative detection method and device for eddy energy distribution based on cross entropy.
Background
The flexible planar vortex sensor is used as a novel planar vortex sensor, so that the limitation of the traditional rigid sensor in detection is overcome, namely, the flexible sensor can adapt to the detection of a complex deformation area. Because of the space limitation of the flexible planar eddy current sensor, the number of turns of the coil is small, so that the eddy current energy distribution induced in the conductor is of great importance, and the detection performance of the planar eddy current sensor on cracks in a metal member is directly affected.
The document 'vortex energy distribution-based vortex sensor performance evaluation method' proposes a vortex energy distribution-based vortex sensor performance evaluation method, wherein a set investigation region is divided into a plurality of annular regions, then vortex radial energy distribution values corresponding to the annular regions are obtained according to the vortex energy of the annular regions, finally the values of the vortex radial energy distributions are brought into a shannon information entropy formula to obtain information entropy based on the vortex radial energy distribution, and finally the concentration degree of the vortex energy distribution in the investigation region is evaluated according to the information entropy. In paper Two Novel Information Entropy Indices for Analysis of the Eddy Current Distribution, a vortex radial energy distribution based on shannon information entropy is proposed, a radial energy spectrum entropy algorithm is adopted, discrete random variables are established, the vortex energy of each ring is used as an event to construct probability distribution, a vortex radial energy spectrum is obtained, and finally the radial energy distribution of the vortex is evaluated according to the information entropy.
The above document has proposed an eddy current sensor performance detection method based on eddy current energy distribution and evaluates the concentration degree of the eddy current energy distribution in the investigation region according to shannon information entropy, and at the same time, also serves as a quantitative optimization index of the eddy current sensor. Although these methods can quantitatively evaluate the eddy current energy distribution, the difference between the two eddy current distributions cannot be quantitatively determined.
Disclosure of Invention
In order to solve the technical problems, the invention provides a quantitative detection method and a quantitative detection device for vortex energy distribution based on cross entropy, which are used for solving the problem that the difference between two vortex distributions cannot be quantitatively determined in the prior art.
According to a first aspect of the present invention, there is provided a method for quantitative detection of eddy current energy distribution based on cross entropy, the method comprising the steps of:
step S101: acquiring a radial energy spectrum of eddy current energy distribution of an eddy current sensor, dividing a plane into N annular areas outwards by taking the eddy current sensor as a center, wherein the annular areas are mutually adjacent, and the annular areas are marked as R i Wherein i is more than or equal to 1 and less than or equal to N;
step S102: for the annular region R i Sampling at equal intervals to obtain vortex vectors to obtain a circular area R i Calculating the total energy of the eddy current of the plane;
step S103: for the annular region R i Assigning a weight coefficient k related to circumference i Calculating a weighted annular region R i Is defined, the total energy of the eddy currents of the plane with weight;
step S104: based on the weighted annular region R i The probability distribution and the average distribution of the vortex energy are calculated;
step S105: substituting the probability distribution and the average distribution of the vortex energy into a cross entropy calculation formula to obtain the cross entropy of the vortex radial energy distribution based on the cross entropy.
According to a second aspect of the present invention, there is provided a cross entropy based eddy current energy distribution quantitative detection apparatus, the apparatus comprising:
the dividing module: acquiring a radial energy spectrum of eddy current energy distribution of an eddy current sensor, dividing a plane into N annular areas outwards by taking the eddy current sensor as a center, wherein the annular areas are mutually adjacent, and the annular areas are marked as R i Wherein i is more than or equal to 1 and less than or equal to N;
a first calculation module: for the annular region R i Sampling at equal intervals to obtain vortex vectors to obtain a circular area R i Calculating the total energy of the eddy current of the plane;
a second calculation module: for the annular region R i Assigning a weight coefficient k related to circumference i Calculating a weighted annular region R i Is defined, the total energy of the eddy currents of the plane with weight;
and a distribution calculation module: based on the weighted annular region R i The probability distribution and the average distribution of the vortex energy are calculated;
a cross entropy calculation module: substituting the probability distribution and the average distribution of the vortex energy into a cross entropy calculation formula to obtain the cross entropy of the vortex radial energy distribution based on the cross entropy.
According to a third aspect of the present invention, there is provided a cross entropy-based eddy energy distribution quantitative detection system, comprising:
a processor for executing a plurality of instructions;
a memory for storing a plurality of instructions;
wherein the plurality of instructions are for storing by the memory and loading and executing by the processor the cross entropy based eddy current energy distribution quantitative detection method as described above.
According to a fourth aspect of the present invention, there is provided a computer-readable storage medium having stored therein a plurality of instructions; the instructions are used for loading and executing the eddy current energy distribution quantitative detection method based on cross entropy.
According to the scheme, the eddy current energy distribution in the investigation region can be determined during the design of the planar eddy current sensor, and the difference of the two eddy current energy distributions can be quantitatively determined.
The foregoing description is only an overview of the present invention, and is intended to provide a better understanding of the present invention, as it is embodied in the following description, with reference to the preferred embodiments of the present invention and the accompanying drawings.
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The accompanying drawings, which are included to provide a further understanding of the invention, illustrate the invention and together with the description serve to explain the invention. In the drawings:
FIG. 1 is a flow chart of a quantitative detection method for eddy current energy distribution based on cross entropy according to one embodiment of the invention;
FIG. 2 is a graph of the energy distribution of eddy currents in an annular region taken in accordance with one embodiment of the present invention;
FIG. 3 is a graph of eddy current energy distribution of spaced samples within an annular region in accordance with one embodiment of the present invention;
FIG. 4 is a schematic representation of a circular energy spectrum of one embodiment of the present invention;
fig. 5 is a block diagram of a quantitative detection device for eddy current energy distribution based on cross entropy according to one embodiment of the present invention.
Detailed Description
First, a flow of a method for quantitatively detecting eddy current energy distribution based on cross entropy according to an embodiment of the present invention will be described with reference to fig. 1. As shown in fig. 1, the method comprises the steps of:
step S101: acquiring a radial energy spectrum of eddy current energy distribution of an eddy current sensor, dividing a plane into N annular areas outwards by taking the eddy current sensor as a center, wherein the annular areas are mutually adjacent, and the annular areas are marked as R i Wherein i is more than or equal to 1 and less than or equal to N;
step S102: for the annular region R i Sampling at equal intervals to obtain vortex vectors to obtain a circular area R i Calculating the total energy of the eddy current of the plane;
step S103: for the annular region R i Assigning a weight coefficient k related to circumference i Calculating a weighted annular region R i Is defined, the total energy of the eddy currents of the plane with weight;
step S104: based on the weighted annular region R i The probability distribution and the average distribution of the vortex energy are calculated;
step S105: substituting the probability distribution and the average distribution of the vortex energy into a cross entropy calculation formula to obtain the cross entropy of the vortex radial energy distribution based on the cross entropy.
The step S101: acquiring a radial energy spectrum of eddy current energy distribution of an eddy current sensor, dividing a plane into N annular areas outwards by taking the eddy current sensor as a center, wherein the annular areas are mutually adjacent, and the annular areas are marked as R i Wherein 1.ltoreq.i.ltoreq.N, comprising:
the radial energy spectrum of the vortex energy distribution of the vortex sensor is obtained by adopting finite element simulation to calculate the vortex energy in a plane.
The plane is divided outwardly into a plurality of annular regions centered on the eddy current sensor as shown in fig. 2, the annular regions being adjacent to each other.
The step S102: for the annular region R i Sampling at equal intervals to obtain vortex vectors to obtain each annular region R i Calculating the total eddy current energy of the plane, comprising:
as shown in FIG. 3, for the annular region R i Dividing the region at equal intervals, and sampling the divided region at equal intervals to obtain an eddy current vector J of the region x ,J y Thereby obtaining the vortex energy in the area
Annular region R i Is not less than the eddy current energy E i The calculation formula of (2) is
Where (x, y) is the coordinates at the point of the corresponding vortex vector,i represents the ith annular area, r, which is the distance from the center of the eddy current sensor to the sampling point 0 Is the distance between the center of the eddy current sensor and the first ring, and r 0 Equal to the width of each annular region;
the total energy E of the plane eddy current is
The step S103: for the annular region R i Assigning a weight coefficient k related to circumference i Calculating a weighted annular region R i And a total eddy current energy of a weighted plane, wherein:
the weighted annular region R i Is not less than the eddy current energy E i The' calculation mode is as follows:
each annular region R i Internal vortex energy E i ' the calculation formula:
the total energy of the vortex of the plane with weight is
The step S104: based on the weighted annular region R i The probability distribution and the average distribution of the vortex energy are calculated by the vortex energy of the plane with weight and the total vortex energy of the plane with weight, and the method comprises the following steps:
the probability distribution of eddy energy is:
the average distribution of eddy energy is:
in this example, the probability distribution of vortex energy is obtained by dividing the vortex energy in each ring region with a weight of Zhou Changquan by the sum of the vortex energy in all ring regions with a weight of Zhou Changquan.
The step S105: substituting the probability distribution and the average distribution of the vortex energy into a cross entropy calculation formula to obtain cross entropy of vortex radial energy distribution based on cross entropy, wherein,
the cross entropy calculation formula is:
in this embodiment, the annular energy spectrum is shown in FIG. 4.
The specific shape of the annular region of this embodiment is circular, similar to the shape of the excitation coil of the eddy current sensor. As can be seen from fig. 2, if the set investigation region of the present embodiment is a circle, the eddy current sensor with the excitation coil being a circular coil is more suitable for detecting the circular set investigation region; at this time, the set examination area is divided into N annular areas of equal width and adjacent to each other in the radial direction outward with the center of the circle as the center, and the circle located at the center may be approximately an annular area with zero inner diameter.
The investigation region is set to be the surface of the crack test piece to be tested or a plane parallel to the surface of the crack test piece to be tested.
The embodiment of the invention further provides a quantitative detection device for eddy energy distribution based on cross entropy, as shown in fig. 5, the device comprises:
the dividing module: acquiring a radial energy spectrum of eddy current energy distribution of an eddy current sensor, dividing a plane into N annular areas outwards by taking the eddy current sensor as a center, wherein the annular areas are mutually adjacent, and the annular areas are marked as R i Wherein i is more than or equal to 1 and less than or equal to N;
a first calculation module: for the annular region R i Sampling at equal intervals to obtain vortex vectors to obtain a circular area R i Calculating the total energy of the eddy current of the plane;
a second calculation module: for the annular region R i Assigning a weight coefficient k related to circumference i Calculating a weighted annular region R i Is defined, the total energy of the eddy currents of the plane with weight;
and a distribution calculation module: based on the weighted annular region R i And the total energy of eddy current of plane with weight, calculates the probability of eddy current energyDistribution and average distribution;
a cross entropy calculation module: substituting the probability distribution and the average distribution of the vortex energy into a cross entropy calculation formula to obtain the cross entropy of the vortex radial energy distribution based on the cross entropy.
The embodiment of the invention further provides a vortex energy distribution quantitative detection system based on cross entropy, which comprises the following steps:
a processor for executing a plurality of instructions;
a memory for storing a plurality of instructions;
wherein the plurality of instructions are for storing by the memory and loading and executing by the processor the cross entropy based eddy current energy distribution quantitative detection method as described above.
The embodiment of the invention further provides a computer readable storage medium, wherein a plurality of instructions are stored in the storage medium; the instructions are used for loading and executing the eddy current energy distribution quantitative detection method based on cross entropy.
It should be noted that, without conflict, the embodiments of the present invention and features of the embodiments may be combined with each other.
In the several embodiments provided in the present invention, it should be understood that the disclosed systems, devices, and methods may be implemented in other manners. For example, the apparatus embodiments described above are merely illustrative, e.g., the division of the elements is merely a logical function division, and there may be additional divisions when actually implemented, e.g., multiple elements or components may be combined or integrated into another system, or some features may be omitted or not performed. Alternatively, the coupling or direct coupling or communication connection shown or discussed with each other may be an indirect coupling or communication connection via some interfaces, devices or units, which may be in electrical, mechanical or other form.
The units described as separate units may or may not be physically separate, and units shown as units may or may not be physical units, may be located in one place, or may be distributed on a plurality of network units. Some or all of the units may be selected according to actual needs to achieve the purpose of the solution of this embodiment.
In addition, each functional unit in the embodiments of the present invention may be integrated in one processing unit, or each unit may exist alone physically, or two or more units may be integrated in one unit. The integrated units may be implemented in hardware or in hardware plus software functional units.
The integrated units implemented in the form of software functional units described above may be stored in a computer readable storage medium. The software functional unit is stored in a storage medium, and includes several instructions for making a computer device (which may be a personal computer, a physical machine Server, or a network cloud Server, etc., and need to install a Windows or Windows Server operating system) execute part of the steps of the methods described in the embodiments of the present invention. And the aforementioned storage medium includes: a U-disk, a removable hard disk, a Read-Only Memory (ROM), a random access Memory (Random Access Memory, RAM), a magnetic disk, or an optical disk, or other various media capable of storing program codes.
The above description is only of the preferred embodiments of the present invention, and is not intended to limit the present invention in any way, but any simple modification, equivalent variation and modification made to the above embodiments according to the technical substance of the present invention still fall within the scope of the technical solution of the present invention.
Claims (10)
1. The eddy energy distribution quantitative detection method based on cross entropy is characterized by comprising the following steps of:
step S101: acquiring a radial energy spectrum of eddy current energy distribution of an eddy current sensor, dividing a plane into N annular areas outwards by taking the eddy current sensor as a center, wherein the annular areas are mutually adjacent, and the annular areas are marked as R i Wherein i is more than or equal to 1 and less than or equal to N;
step S102: for the annular region R i Internal proceeding equal intervalSampling at intervals to obtain vortex vector to obtain circular region R i Calculating the total energy of the eddy current of the plane;
step S103: for the annular region R i Assigning a weight coefficient k related to circumference i Calculating a weighted annular region R i Is defined, the total energy of the eddy currents of the plane with weight;
step S104: based on the weighted annular region R i The probability distribution and the average distribution of the vortex energy are calculated;
step S105: substituting the probability distribution and the average distribution of the vortex energy into a cross entropy calculation formula to obtain the cross entropy of the vortex radial energy distribution based on the cross entropy.
2. The method for quantitative detection of eddy current energy distribution based on cross entropy according to claim 1, wherein the step S102: for the annular region R i Sampling at equal intervals to obtain vortex vectors to obtain each annular region R i Calculating the total eddy current energy of the plane, comprising:
annular region R i Is not less than the eddy current energy E i The calculation formula of (2) is
Where (x, y) is the coordinates at the point of the corresponding vortex vector,i represents the ith annular area, r, which is the distance from the center of the eddy current sensor to the sampling point 0 Is the distance between the center of the eddy current sensor and the first ring, and r 0 Equal to the width of each annular region;
the total energy E of the plane eddy current is
3. The method for quantitative detection of eddy current energy distribution based on cross entropy according to claim 2, wherein the step S103: for the annular region R i Assigning a weight coefficient k related to circumference i Calculating a weighted annular region R i And a total eddy current energy of a weighted plane, wherein:
the weighted annular region R i Is not less than the eddy current energy E' i The calculation mode of (a) is as follows:
each annular region R i Internal vortex energy E' i Is calculated according to the formula:
the total energy of the vortex of the plane with weight is
4. The method for quantitative detection of eddy current energy distribution based on cross entropy according to claim 3, wherein the step S104: based on the weighted annular region R i The probability distribution and the average distribution of the vortex energy are calculated by the vortex energy of the plane with weight and the total vortex energy of the plane with weight, and the method comprises the following steps:
the probability distribution of eddy energy is:
the average distribution of eddy energy is:
5. the method for quantitative detection of eddy current energy distribution based on cross entropy according to claim 4, wherein the step S105: substituting the probability distribution and the average distribution of the vortex energy into a cross entropy calculation formula to obtain cross entropy of vortex radial energy distribution based on cross entropy, wherein,
the cross entropy calculation formula is:
6. a cross entropy-based eddy current energy distribution quantitative detection device, the device comprising:
the dividing module: acquiring a radial energy spectrum of eddy current energy distribution of an eddy current sensor, dividing a plane into N annular areas outwards by taking the eddy current sensor as a center, wherein the annular areas are mutually adjacent, and the annular areas are marked as R i Wherein i is more than or equal to 1 and less than or equal to N;
a first calculation module: for the annular region R i Sampling at equal intervals to obtain vortex vectors to obtain a circular area R i Calculating the total energy of the eddy current of the plane;
a second calculation module: for the annular region R i Assigning a weight coefficient k related to circumference i Calculating a weighted annular region R i Is defined, the total energy of the eddy currents of the plane with weight;
and a distribution calculation module: based on the weighted annular region R i Is calculated by calculating the eddy current energy of the plane with weightProbability distribution and average distribution of the quantity;
a cross entropy calculation module: substituting the probability distribution and the average distribution of the vortex energy into a cross entropy calculation formula to obtain the cross entropy of the vortex radial energy distribution based on the cross entropy.
7. The cross-entropy based eddy current energy distribution quantitative detection apparatus of claim 6, wherein the first calculation module comprises:
the annular region calculation sub-module: annular region R i Is not less than the eddy current energy E i The calculation formula of (2) is E i ＝Wherein (x, y) is the coordinates at the point of the corresponding vortex vector, < >>I represents the ith annular area, r, which is the distance from the center of the eddy current sensor to the sampling point 0 Is the distance between the center of the eddy current sensor and the first ring, and r 0 Equal to the width of each annular region;
a planar total energy operator module: the total energy E of the planar vortex is
8. The cross-entropy based eddy current energy distribution quantitative detection apparatus of claim 7, wherein the second calculation module, wherein:
weighted annular region R i Is not less than the eddy current energy E' i The calculation mode of (a) is as follows:
each annular region R i Internal vortexEnergy of flow E i ' the calculation formula:
the total energy of the vortex of the plane with weight is
9. An eddy energy distribution quantitative detection system based on cross entropy, comprising:
a processor for executing a plurality of instructions;
a memory for storing a plurality of instructions;
wherein the plurality of instructions are for storage by the memory and loading and executing by the processor the cross-entropy based eddy current energy distribution quantitative detection method of any one of claims 1-5.
10. A computer-readable storage medium having stored therein a plurality of instructions; the plurality of instructions for loading and executing by a processor the cross-entropy based eddy current energy distribution quantitative detection method of any one of claims 1-5.
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