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Elastic Net Regularized Inversion Method for Current Parameters Based on Spherical Harmonic Decomposition

A spherical harmonic function and current parameter technology, applied in the direction of measuring current/voltage, measuring electrical variables, instruments, etc., can solve the problems of difficult installation and insulation design, complex structure, and inability to measure current and DC transformers.

Inactive Publication Date: 2020-10-13
TSINGHUA UNIV
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Problems solved by technology

[0002] In the current measurement of small-scale and short-distance current power systems, current DC transformers have disadvantages such as inability to measure DC current and bulky volume, while non-intrusive measurement methods such as current sensors with magnetic collecting ring structures are complex in structure and difficult to install. Insulation design is more difficult, so its application range is greatly limited

Method used

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  • Elastic Net Regularized Inversion Method for Current Parameters Based on Spherical Harmonic Decomposition
  • Elastic Net Regularized Inversion Method for Current Parameters Based on Spherical Harmonic Decomposition
  • Elastic Net Regularized Inversion Method for Current Parameters Based on Spherical Harmonic Decomposition

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Embodiment 1

[0145] figure 1 It is a schematic diagram of the spherical harmonic function decomposition calculation platform of the present invention, such as figure 1 as shown, figure 1 The middle is a single air medium, and the three line currents to be solved are I in the dotted sphere 1 , I 2 and I 3 , the current value is not preset. External interference sources include the three line currents I ext1 , I ext2 and I ext3 , and two magnetic dipoles m 1 and m 2 , where the magnitudes of the three line currents are 7A, 10A and 5A, respectively, and the magnitudes of the two magnetic dipoles are 50A·m and 60A·m, respectively, and they are all along the z-axis direction. P represents the measurement point on the measurement plane, the measurement plane is parallel to the xOy plane, the height is 1m, and the sensors on the plane are arranged at equal intervals. In the theoretical calculation of the forward magnetic field, the magnetic field generated by the line current in the int...

Embodiment 2

[0153] On the basis of Embodiment 1, the algebraic regularization method is used to calculate the calculation errors of the line currents to be sought in three situations, and the calculation results are as follows figure 2 as shown,

[0154] In the three cases, when λ changes, the calculation error of the current changes less, and has less influence on the current values ​​of the first three lines that are mainly concerned. In the subsequent calculation process, the influence of different adjustment coefficient λ values ​​on the calculation results can be ignored. When the theoretical value of the magnetic field strength is superimposed with a random relative error between ±0.5%, ±2% and ±5%, set the maximum number of decomposition l max is 7, when the Ridge regularization method is used, the calculation errors of the current in the three cases are shown in Table 2,

[0155] Table 2 Inversion error of off-line current by algebraic elastic net regularization method

[0156...

Embodiment 3

[0159] On the basis of Embodiment 1, the Bayesian regularization method is used for calculation, and the current value inversion error is analyzed when the regularization adjustment coefficient λ changes. The same as the solution process in the algebraic regularization method, calculate the random relative error between the theoretical value of the magnetic field strength plus or minus 0.5%, and set the maximum decomposition times l max When is 7, the inversion error of the three current values ​​to be calculated, the calculation result is as follows image 3 as shown,

[0160] In the figure, when the adjustment coefficient λ varies between 0 and 1, similar to the solution process in algebraic regularization, the calculation error of the current changes little, indicating that when different Bayesian regularization methods are used, the current The A coefficients in the column vector I have different degrees of parameter selection, but have little influence on the calculation...

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Abstract

A current parameter elastic network regularization inversion method based on spherical harmonic decomposition comprises the following inversion steps of establishing a spherical harmonic function model, and establishing a point P to be measured in a magnetic field and a magnetic field intensity vector value H<m> formula (1) of the point P to be measured; obtaining a magnetic field intensity vectorvalue H<c> formula (2) generated by the line current to be solved at the measuring point according to the ampere loop law; when no magnetic field source exists at the measuring point, obtaining a mode of representing H<ext> as scalar magnetic bit; and solving the line current to be solved by adopting a regularization method. The beneficial effects are that external interference and calculation errors is reduced by adopting a hardware arrangement optimization and software algorithm decoupling method to obtain a line current parameter inversion result; and the algorithm based on spherical harmonic decomposition and the regularization calculation method are adopted, the separation of the measured current is realized only by using a mathematical means, the influence of an external interference magnetic field is eliminated, and the measurement precision is improved.

Description

technical field [0001] The invention relates to the application field of electrical and electromagnetic inversion, in particular to an elastic net regularization inversion method of current parameters based on spherical harmonic function decomposition. Background technique [0002] In the current measurement of small-scale and short-distance current power systems, current DC transformers have disadvantages such as inability to measure DC current and bulky volume, while non-intrusive measurement methods such as current sensors with magnetic collecting ring structures are complex in structure and difficult to install. The insulation design is more difficult, which limits its application range. Contents of the invention [0003] Purpose of the invention: [0004] Design a current inversion method with the advantages of small size, simple structure, easy installation, low cost, ability to eliminate external interference, and high inversion accuracy, and use sensor arrays to r...

Claims

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Application Information

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Patent Type & Authority Patents(China)
IPC IPC(8): G01R19/00
CPCG01R19/0046
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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