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Current element three-dimensional inversion method based on Bayesian elastic network regularization method

A current-element and hierarchical Bayesian technology, applied in electrical digital data processing, design optimization/simulation, image data processing, etc., can solve problems such as non-unique solutions and non-continuous solutions

Inactive Publication Date: 2019-09-24
TSINGHUA UNIV
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  • Claims
  • Application Information

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Problems solved by technology

Specifically, the ill-posedness of the current element inversion problem is mainly manifested in that the column vector of the magnetic field measurement result H Usually with measurement error (noise), small measurement error will have a great impact on the solution result, so the solution of the problem is not continuous, and the solution is usually not unique

Method used

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  • Current element three-dimensional inversion method based on Bayesian elastic network regularization method
  • Current element three-dimensional inversion method based on Bayesian elastic network regularization method
  • Current element three-dimensional inversion method based on Bayesian elastic network regularization method

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Effect test

Embodiment 1

[0151] image 3 is the structural representation of the distributed current element inversion calculation model described in the present invention, such as image 3 As shown, according to the derivation of the above algorithm, the 3D imaging results of the current element based on the Bayesian elastic net regularization method are analyzed, and the following is constructed: image 3 Computational model of the shown structure. The points represent the measurement points of the three-dimensional magnetic field strength. The planes of the three measurement points are parallel to the xy, yz and xz planes respectively. The size of each plane is 20m×20m. The distance between the measurement points on the same plane is 1m, and the total number of measurement points is 264. indivual. The central cube area in the figure is the calculated current element area, and the side length of this area is 4.5m, and each independent current element in this area is set as a cube with a side leng...

Embodiment 2

[0154] On the basis of Example 1, for the current element distribution in Case 1, when the theoretical value of the magnetic field strength is superimposed with a random relative error between ±0.5%, Ridge, elastic net and The Lasso regularization method carries out the three-dimensional inversion imaging calculation of the current element distribution, analyzes the difference between the inversion calculation distribution and the real distribution under different error levels, and calculates the reconstruction error of the magnetic field distribution at the same time. The calculation results of the three regularization methods are as follows: Figure 5 shown.

Embodiment 3

[0156] On the basis of Example 1, for case 2, when the theoretical value of the magnetic field is superimposed with a random relative error between ±0.5%, Ridge, Elastic Net and Lasso regularization methods are used in the calculation of each distribution form to carry out the current element The three-dimensional inversion imaging calculation of the distribution analyzes the difference between the inversion calculation distribution and the real distribution under different error levels, and calculates the reconstruction error of the magnetic field distribution at the same time. The calculation results of the three regularization methods are as follows: Figure 6 shown.

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Abstract

The invention discloses a current element three-dimensional inversion method based on a Bayesian elastic network regularization method, depending on priori distribution information of parameters to be solved and known measurement data. The current element three-dimensional inversion method has the beneficial effects that the Bayesian regularization method overcomes the ill-conditioned nature in the discrete current element calculation process, and has relatively high calculation robustness and accuracy; and on the other hand, the parameter selection mode is milder, and the prior distribution of the current element can be set, and the output parameter has a certain confidence interval.

Description

technical field [0001] The invention relates to the application field of electrical and electromagnetic inversion, in particular to a three-dimensional inversion method for current elements based on a Bayesian elastic net regularization method. Background technique [0002] In recent years, along with advanced sensing and measurement technologies and their corresponding control methods, smart grids and energy Internet have developed rapidly. An important cornerstone of the smart grid is the deep perception of the panoramic real-time status information of the power system. As an expansion of the smart grid, the Energy Internet is a high degree of integration of "energy flow, information flow, and business flow", showing a trend of deep integration of information and energy infrastructure. The electrical signals in the smart grid have the characteristics of wide frequency range, wide range, and large data volume. The collection, transmission, storage and analysis of real-time...

Claims

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Application Information

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Patent Type & Authority Applications(China)
IPC IPC(8): G06F17/50G06K9/62G06T17/00
CPCG06T17/00G06F30/20G06F18/29
Inventor 胡军赵根何金良王善祥欧阳勇王中旭曾嵘庄池杰张波余占清
Owner TSINGHUA UNIV
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