A method for calculating weighted coefficients of each layer result in multi-layer distributed near-field method

Abstract

The present invention provides a method for calculating the weighting coefficients of the results of each layer of a multi-layer distributed near-field method, comprising the following steps: A1: Arrange multiple layers of magnetometers radially on the equatorial plane of the spacecraft according to the requirements of the multi-layer distributed near-field method; A2: Conduct an experiment, rotate the spacecraft vertically for one week, and obtain a sequence B of the magnetic field distribution data of the spacecraft ±i , where i represents the magnetic field measurement results on different horizontal planes, i = 0, 1, 2, 3..., for example, when i = 0, it is equivalent to having only one layer of magnetometers; A3: Find the maximum value of each magnetic field sequence B ±i , denoted as MB ±i ; A4: The calculation formulas for the weighting coefficients α i and β i are as follows: α i = MB +i / MB0, β i = MB ‑i / MB0. By calculating the weighting coefficients of the results of each layer of the multi-layer distributed near-field method more reasonably, the present invention correlates the magnitudes of the weighting coefficients with the magnetic field distributions of each layer. Through simulation analysis and experimental verification, the present invention can effectively improve the magnetic moment measurement accuracy of spacecraft with a high length-diameter ratio.

Description

Technical Field

[0001] The invention belongs to the field of magnetic measurement in spacecraft magnetic tests, and in particular relates to a magnetic moment measurement technology for a magnetic object. Background Art

[0002] The research on magnetic moment measurement technology is the main research direction of spacecraft magnetic testing. At present, my country mainly uses the near-field method to test the magnetic moment of spacecraft.

[0003] The near-field method magnetic moment measurement error is closely related to the magnetic distribution characteristics inside the spacecraft, the structure size of the spacecraft, the magnitude of the magnetic moment, and the test equipment. Since the near-field method collects the magnetic field distribution of the spacecraft's equatorial plane, the magnetic distribution characteristics inside the spacecraft are the main influencing factors. If the magnetism inside the spacecraft is relatively concentrated and concentrated near the geometric center, the near-field method magnetic moment measurement accuracy is higher. On the contrary, the more dispersed the magnetism inside the spacecraft is, the lower the measurement accuracy. Since the magnetic distribution inside most spacecraft cannot be predicted in advance, the near-field method magnetic moment measurement error cannot be effectively and accurately evaluated.

[0004] For small and medium-sized spacecraft, since their envelope size is small and they are generally cube-shaped, the measurement error of their near-field magnetic moment is relatively small. For large spacecraft, since they are generally column-shaped and have a high aspect ratio, their upper and lower ends are far away from the near-field detector. Once there are large magnetic objects at the two ends, the magnetic moment error caused by them will increase sharply. This situation is becoming more and more common and must be taken into consideration.

[0005] To this end, based on the existing near-field magnetic moment measurement method, the inventor proposed a multi-layer distributed near-field magnetic moment measurement method for large-scale high aspect ratio spacecraft, which is committed to reducing the error in near-field measurement of the magnetic moment of large-scale high aspect ratio spacecraft (a multi-layer distributed near-field method for spacecraft magnetic moment measurement, application number 202310460300.7).

[0006] The key technical point of the multi-layer distributed near-field method is the weight value calculation of the near-field method calculation results on different horizontal planes, that is, the weighting coefficient α of each layer result i and β i The calculation method of the weighting coefficient is very large, and the influence of this coefficient on the measurement result is very large. The above patent does not specifically provide a clear method for confirming the weighting coefficient. Summary of the invention

[0007] In order to solve the above problems, the present invention provides a method for calculating weighted coefficients of results of each layer of a multi-layer distributed near-field method, so as to improve the measurement accuracy of the multi-layer distributed near-field method.

[0008] To achieve the above object, the present invention adopts the following scheme:

[0009] The present invention provides a method for calculating weighted coefficients of results of each layer of a multi-layer distributed near-field method, wherein the multi-layer distributed near-field method comprises the following steps: S1: according to the requirements of the near-field method specified in the magnetic test standard, three magnetometers are radially arranged on the equatorial plane of a spacecraft; S2: three magnetometers are radially arranged on the horizontal planes directly above and directly below the equatorial plane of the spacecraft respectively; S3: the magnetic moment of the spacecraft is independently calculated based on the magnetic field data of each plane according to the magnetic moment calculation formula of the standard near-field method; S4: the final magnetic moment M of the spacecraft is calculated by averaging or weighted averaging the calculation results in step S3; wherein the magnetic moments of each plane in step S3 are respectively recorded as M 0 and M ±i ; The calculation formula of the final magnetic moment M of the spacecraft in step S4 is as follows:

[0010] M=[M 0 +(α 1 ·M 1 +α 2 ·M 2 +…+α i ·M i )+(β 1 ·M 1 +β 2 ·M 2 +…+β

[0011] i ·M i )] / (1+α 1 +α 2 …+α i +β 1 +β 2 …+β i ), α i and β i is the weight value of the near-field calculation results on different horizontal planes, that is, the weighting coefficient. The calculation method of the weighting coefficient includes the following steps:

[0012] A1: According to the requirements of the multi-layer distributed near-field method, multiple layers of magnetometers are radially arranged on the equatorial plane of the spacecraft;

[0013] A2: Conduct an experiment, rotate the spacecraft vertically for one circle, and obtain a series of magnetic field distribution data of the spacecraft, B±i, where i represents the magnetic field measurement results on different horizontal planes, i=0, 1, 2, 3…, if i=0, it is equivalent to having only one layer of magnetometers;

[0014] A3: Find the maximum value of each magnetic field series B±i, recorded as MB ±i ;

[0015] A4: Calculate the weighting coefficient α i and β i , the calculation formula is as follows:

[0016] α i =MB +i / MB 0

[0017] β i =MB -i / MB 0 .

[0018] The beneficial effects of the present invention are:

[0019] The present invention more reasonably calculates the weighted coefficients of the results of each layer of the multi-layer distributed near-field method, and associates the size of the weighted coefficients with the magnetic field distribution of each layer. After simulation analysis and experimental verification, the present invention can effectively improve the magnetic moment measurement accuracy of high aspect ratio spacecraft. BRIEF DESCRIPTION OF THE DRAWINGS

[0020] Figure 1 is a schematic diagram of a multi-layer distributed near-field method in an embodiment of the present invention;

[0021] Figure 2 It is a schematic diagram of the overall process in an embodiment of the present invention. DETAILED DESCRIPTION

[0022] In order to make the technical solutions and advantages of the present invention clearer, the technical solutions of the embodiments of the present invention will be fully described below in conjunction with the drawings in the present invention. Obviously, the described embodiments are part of the embodiments of the present invention, not all of the embodiments. Based on the embodiments of the present invention, all other embodiments obtained by ordinary technicians in this field without creative work are within the scope of protection of the present invention.

[0023] Embodiments of the present invention are described in detail below, and examples of the embodiments are shown in the accompanying drawings, wherein the same or similar reference numerals throughout represent the same or similar elements or elements having the same or similar functions. The embodiments described below with reference to the accompanying drawings are exemplary and are only used to explain the present invention, and cannot be understood as limiting the present invention.

[0024] like Figure 2 In some embodiments, the method of the present invention comprises the following steps:

[0025] The first step, such as Figure 1 , set the parameters of the multi-layer distributed near-field method, such as the number of layers, the spacing between layers, and the left and right spacing of the magnetometers: H is the total height of the spacecraft, i = the total height of the spacecraft H / (the maximum value of the length and width of the spacecraft), the total number of layers is 2i+1, the spacing between each plane is d=H / (2i+1), r is the distance between the detector and the center of the specimen, D s is the specimen envelope diameter, and the magnetometer r should be selected to meet 0.4 <D s / r<1.4.

[0026] The second step is to carry out the experiment according to the near-field measurement steps, rotate the spacecraft vertically for one circle, and use the No. 1 magnetometer on each layer to obtain the series B of the spacecraft's magnetic field distribution data. ±i (i represents the magnetic field measurement results on different horizontal planes, i = 0, 1, 2, 3..., if i = 0, it is equivalent to having only one layer of magnetometers);

[0027] The third step is to find each magnetic field series B ±i The maximum value, recorded as MB ±i ;

[0028] Step 4: Calculate the weighting coefficient α according to the following formula: i and β i :

[0029] α i =MB +i / MB 0

[0030] β i =MB -i / MB 0

[0031] The present invention more reasonably calculates the weighted coefficients of the results of each layer of the multi-layer distributed near-field method, and associates the size of the weighted coefficients with the magnetic field distribution of each layer. After simulation analysis and experimental verification, the present invention can effectively improve the magnetic moment measurement accuracy of high aspect ratio spacecraft.

[0032] In the description of this specification, reference to the terms "one embodiment" and "example" means that the specific features, structures or characteristics described in conjunction with the embodiment or example are included in at least one embodiment or example of the present invention. In this specification, the schematic representation of the above terms does not necessarily refer to the combination in a suitable manner in the relative embodiment or example.

[0033] It must be pointed out that the description of the above embodiments is not intended to be limiting but only to help understand the core idea of ​​the present invention. For ordinary technicians in this technical field, any improvements to the present invention and alternatives equivalent to the product, without departing from the principles of the present invention, also fall within the scope of protection of the claims of the present invention.

Claims

1. A method for calculating weighted coefficients of each layer of results of a multi-layer distributed near-field method, wherein the multi-layer distributed near-field method The following steps are involved: S1: According to the requirements of the near-field method specified in the magnetic test standard, three magnetometers are arranged radially on the equatorial plane of the spacecraft; S2: i layers of magnetometers are arranged on the horizontal planes directly above and directly below the equatorial plane of the spacecraft, and three magnetometers are arranged radially on each layer; S3: The magnetic field data of each plane are used to independently calculate the magnetic moment of the spacecraft according to the standard near-field method magnetic moment calculation formula; S4: Calculate the final magnetic moment M of the spacecraft; the magnetic moments of each plane in step S3 are respectively recorded as M 0 and M ±i ; The calculation formula of the final magnetic moment M of the spacecraft in step S4 is as follows: M=[M 0 +(a 1 ·M 1 +a 2 ·M 2 +…+a i ·M i )+(β 1 ·M -1 +b 2 ·M -2 +…+b i ·M -i )] / (1+α 1 +α 2 …+α i +β 1 +β 2 …+β i )， α i and β i is the weight value of the near-field calculation results on different horizontal planes, that is, the weighting coefficient, characterized in that the calculation method of the weighting coefficient includes the following steps: A1: According to the requirements of the multi-layer distributed near-field method, multiple layers of magnetometers are radially arranged on the equatorial plane of the spacecraft; A2: Conduct an experiment to rotate the spacecraft vertically for one circle and obtain the sequence B of the spacecraft's magnetic field distribution data ±i , where i represents the magnetic field measurement results on different horizontal planes, i = 0, 1, 2, 3..., where i = 0, indicating that there is only one layer of magnetometers; H is the total height of the spacecraft, and L is the maximum length and width of the spacecraft; the maximum value of i should satisfy i ≤ H / L; A3: Find each magnetic field series B ±i The maximum value, recorded as MB ±i ; A4: Calculate the weighting coefficient α i and β i , the calculation formula is as follows: α i =UK +i / UK 0 β i =UK -i / UK 0 。

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