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

A current element and algebraic technology, applied in electrical digital data processing, design optimization/simulation, special data processing applications, etc., can solve problems such as non-continuity of solutions and non-unique solutions

Inactive Publication Date: 2019-07-19
TSINGHUA UNIV
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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 algebraic elastic network regularization method
  • Current element three-dimensional inversion method based on algebraic elastic network regularization method
  • Current element three-dimensional inversion method based on algebraic elastic network regularization method

Examples

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Effect test

Embodiment 1

[0143] 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, analyze the 3D imaging results of the current element based on the algebraic regularization method, construct the following image 3 Computational model of the shown structure. The points represent the measurement points of the three-dimensional magnetic field strength, and the planes of the three measurement points are respectively parallel to xy , yz with xz Plane, the size of each plane is 20m×20m, the distance between measurement points on the same plane is 1m, and the total number of measurement points is 264. 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 length of 0.5m, so there are 729 waitin...

Embodiment 2

[0146] On the basis of Example 1, for the current element distribution in Case 1, when the theoretical value of the magnetic field is superimposed with random relative errors between ±0.5%, ±2% and ±5%, three regularization methods are used Calculated as Figure 5 Image 6 As shown, the distribution of current elements obtained by the Ridge regularization method is the densest, which is consistent with the average distribution of the calculation results. Although the ability to locate the current elements is poor, the direction of the larger current element values ​​in the calculation results Consistent with the direction of the preset current element. The current element distribution obtained by the Lasso regularization method is the sparsest, which corresponds to the strong feature selection ability of this method. The position of the current element after feature selection is basically near the preset current element, but at this time, the calculation of the direction of t...

Embodiment 3

[0148] On the basis of Example 1, when the theoretical value of the magnetic field is superimposed with a random relative error between ±0.5% in the other three cases, the calculation results of the three regularization methods are as follows Figure 8 Figure 10 shown. In the three cases, the distribution characteristics obtained by using the three regularization methods are the same as Figure 5-Figure 7 The situation in is similar, the algebraic elastic net regularization method has the characteristics of both the Ridge and Lasso regularization methods, and generally speaking, the calculation results of the direction and position of the current element distribution are basically consistent with the preset values.

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Abstract

The invention discloses a current element three-dimensional inversion method based on an algebraic elastic network regularization method, which comprises two functional form formulas of expressing a current element column vector by I, substituting an algebraic elastic network regularization operator into the formula 1 to obtain a formula. Beneficial effects of the method are that: according to thealgebraic elastic network regularization method, the direction and position calculation result of current element distribution is basically kept consistent with actual distribution, the ill-conditioned problem embodied in the calculation process is solved, and the algebraic elastic network regularization method in the algebraic regularization method has high accuracy and stability in the aspect of current element three-dimensional imaging calculation.

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 an algebraic 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. [0003] 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 o...

Claims

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Application Information

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Patent Type & Authority Applications(China)
IPC IPC(8): G06F17/50
CPCG06F30/20
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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