CN114169246A - Design method of high-performance low-noise magnetic shielding barrel - Google Patents
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Abstract
The invention discloses a design method of a high-performance low-noise magnetic shielding barrel, which takes a four-layer magnetic shielding barrel as a research object, aims at the problem of how to simultaneously realize optimization of magnetic shielding performance and magnetic noise, establishes an optimization scheme of structural parameters of the four-layer magnetic shielding barrel by a constrained multi-parameter particle swarm optimization method, and optimizes the length of an innermost layer barrelRadius of innermost barrelThickness t of each layeriInter-layer axial spacing DLiInter-layer radial spacing DRiAnd 12 structural parameters are equal, so that the design effect of high shielding performance and low noise is realized. The invention improves the axial shielding factor of the magnetic shielding barrel by one based on the particle swarm optimization algorithmThe magnetic noise is reduced by 15%, and the method can be widely applied to the field of weak magnetic measurement to manufacture a weak magnetic environment.
Description
Technical Field
The invention relates to a design method of a high-performance low-noise magnetic shielding barrel, which can improve the axial shielding factor of the magnetic shielding barrel by one order of magnitude and reduce the magnetic noise by 15 percent, and belongs to the technical field of magnetic shielding.
Background
The theoretical sensitivity of the atomic spin magnetometer can reachThe method becomes a research hotspot in the field of extremely weak magnetic measurement, and the premise of realizing the extremely weak magnetic measurement with ultrahigh sensitivity is to fully isolate the interference of an external magnetic field and a noise signal, and is usually realized by adopting a multilayer magnetic shielding barrel. Because the sensitivity of the atomic spin magnetometer is limited by the background magnetic field noise signal in practical work, it is necessary to develop a high-performance low-noise magnetic shielding barrel.
The performance indexes of the magnetic shielding barrel comprise magnetic shielding factors and magnetic noise, and the structural design of the magnetic shielding barrel usually only considers the magnetic shielding factors but neglects the influence of the magnetic noise at present, so that the designed magnetic shielding barrel cannot achieve the optimal performance.
Disclosure of Invention
The technical problems to be solved by the invention are as follows: the design method of the high-performance low-noise magnetic shielding barrel is used for improving the shielding performance and reducing the magnetic noise.
The technical solution of the invention is as follows: a design method of a high-performance low-noise magnetic shielding barrel comprises the following steps:
(1) establishing a four-layer magnetic shielding barrel with a cover total radial magnetic shielding factor model:
establishing a four-layer magnetic shielding barrel total axial magnetic shielding factor model with a cover:
μiis the permeability of the ith layer of material, fi=1+Li/100DiEnd cap shielding coefficient of axial shielding factor of i-th layer, DiIs the i-th shield layer outer diameter, LiIs the i-th shielding layer outer length, tiThe thickness of the ith shielding layer (i is more than or equal to 1 and less than or equal to 4).
(2) Establishing a magnetic noise model generated by the innermost magnetic shielding barrel:
wherein, mu0=4π×10-7N/A2Is a vacuum permeability of r1=D1/2-t1The inner radius of the innermost layer, k is 1.38 × 10-23J/K is boltzmann constant, T is kelvin temperature, σ is electrical conductivity of the innermost shielding material, G is a coefficient related to aspect ratio L/D, and when L/D is 1, 1.5, 2, G is 0.657, 0.460, 0.438, respectively.
(3) Establishing a total volume model of the four-layer magnetic shielding barrel with the cover:
wherein,is the volume of the ith layer of magnetic shielding barrel. diIs the i-th shield layer inner diameter, liThe length of the ith shielding layer (i is more than or equal to 1 and less than or equal to 4).
(4) Establishing a four-layer magnetic shielding barrel structure model containing all structural parameters influencing magnetic shielding performance and magnetic noise:
wherein DLiFor the axial spacing between the i-th and i + 1-th shield layers, including DL1,DL2,DL3;DRiFor the radial spacing between the i-th and i + 1-th shielding layers, including DR1,DR2,DR3;tiIs the thickness of the ith shielding layer, including t1,t2,t3,t4;Is the average radius of the innermost layer;is the average length of the innermost layer. The four-layer magnetic shielding barrel structure can be composed oft1,t2,t3,t4,DL1,DL2,DL3,DR1,DR2,DR3Determining 12 parameters, i is more than or equal to 1 and less than or equal to 4.
(5) Substituting the structural model of the four-layer magnetic shielding barrel in the step (4) into the total axial magnetic shielding factor model of the four-layer magnetic shielding barrel with the cover in the step (1) to obtain the total axial shielding factor model S 'of the four-layer magnetic shielding barrel with the cover, which contains 12 structural parameters influencing the magnetic shielding performance and the magnetic noise'Atot:
Substituting the structure model of the four-layer magnetic shielding barrel in the step (4) into the magnetic noise model generated by the innermost magnetic shielding barrel in the step (2) to obtain a magnetic noise model delta B ' of the four-layer magnetic shielding barrel with the cover, wherein the magnetic noise model delta B ' comprises 12 structural parameters influencing the magnetic shielding performance and the magnetic noise 'eddy:
Substituting the structural model of the four-layer magnetic shielding barrel in the step (4) into the total volume model of the four-layer magnetic shielding barrel with the cover in the step (3) to obtain a total volume model V ' of the four-layer magnetic shielding barrel with the cover, wherein the total volume model V ' contains 12 structural parameters influencing magnetic shielding performance and magnetic noise 'tot:
(6) Setting four layers of magnetic shielding barrel initial structure parameters, and calculating total axial shielding factor under the structure parametersMagnetic noiseTotal volume
Setting 12 structural parameter variation intervals affecting the magnetic shielding performance and the magnetic noise in the above (4):
(7) is prepared from S 'in the above (5)'AtotAs an optimization target, the method of (6) aboveAs a constraint condition one, the method as set forth in (6) aboveAnd (3) as a constraint condition II, optimizing 12 structural parameters influencing the magnetic shielding performance and the magnetic noise in the step (4) by adopting a multi-parameter particle swarm algorithm with constraint to obtain the structural parameters of the four-layer magnetic shielding barrel when the axial shielding factor of the four-layer magnetic shielding barrel with the cover is maximum, and marking the structural parameters as the maximum magnetic noise of the four-layer magnetic shielding barrel with the cover under the structural parameters
(8) Delta B 'of the above (5)'eddyAs an optimization target, the method of (6) aboveAs a constraint condition one, the method as set forth in (6) aboveAnd (3) as a constraint condition II, optimizing 12 structural parameters influencing the magnetic shielding performance and the magnetic noise in the step (4) by adopting a multi-parameter particle swarm algorithm with constraint to obtain a four-layer magnetic shielding barrel structural parameter when the magnetic noise of the four-layer magnetic shielding barrel with the cover is minimum, and marking the four-layer magnetic shielding barrel with the cover as the minimum magnetic noise under the structural parameter
(9) In the above (7)The above (8)Constituting a magnetic noise variation intervalDividing the interval 10 into equal partsWherein
(10) Is prepared from S 'in the above (5)'AtotThe optimization objective was to obtain V 'in the above (5)'totAs a constraint one, willSequentially serving as a constraint condition II, performing 11 sub-optimization on 12 structural parameters influencing the magnetic shielding performance and the magnetic noise in the step (4) by adopting a multi-parameter particle swarm algorithm with constraint to obtain the j sub-optimized maximum value of the axial shielding factor of the four-layer covered magnetic shielding barrelThe corresponding parameters of the 4-layer magnetic shielding barrel structure are recorded as follows:
substituting the obtained 4-layer magnetic shielding barrel structure parameters into the four-layer magnetic shielding barrel with cover magnetic noise model delta B 'in the step (5)'eddySolving the magnetic noise corresponding to the jth sub-optimization1≤j≤11。
(11) Sequentially calculating according to 11 sub-optimization results in (10) aboveIs recorded as Delta SjSequentially calculateIs recorded as Delta BjJ is more than or equal to 1 and less than or equal to 10, and calculating delta Sj/ΔδBjPlotting Δ Sj/ΔδBjAnd changing the curve, selecting a maximum point of the curve, wherein 12 structural parameters of the 4 layers of magnetic shielding barrels corresponding to the point are the final optimization result.
Compared with the prior art, the invention has the advantages that:
(1) the magnetic shielding barrel design method comprehensively considers two indexes of magnetic shielding factors and magnetic noise in the design process, and the average length of the innermost layer of the magnetic shielding barrel is calculated by a particle swarm algorithm with multiple constrained parametersAverage radius of innermost layerThickness t of each layeriInter-layer axial spacing DLiInter-layer radial spacing DRiThe magnetic noise is effectively reduced while the shielding performance of the magnetic shielding barrel is greatly improved by 12 parameters through optimization design, compared with the magnetic noise before optimization, the axial shielding factor of the optimized magnetic shielding barrel is improved by one order of magnitude, and the magnetic noise is reduced by 15%, so that the design requirements of high shielding performance and low noise can be met simultaneously;
(2) the invention discloses a relation curve of magnetic noise variation and axial magnetic shielding factor variation under different structural parameters in the optimization process of the magnetic shielding barrel, and provides theoretical reference for the optimization design of the magnetic shielding barrel of the atomic spin magnetometer.
Drawings
FIG. 1 is an axial cross-sectional view of a 4-layer magnetic shielding can in accordance with the present invention;
FIG. 2 shows Δ S in the present inventionj/ΔδBjGraph is shown.
Detailed Description
The invention is further described with reference to the following figures and detailed description.
As shown in fig. 1, the magnetic shielding barrel of the present invention specifically includes the following contents:
(1) establishing a four-layer magnetic shielding barrel with a cover total radial magnetic shielding factor model:
establishing a four-layer magnetic shielding barrel total axial magnetic shielding factor model with a cover:
μiis the permeability of the ith layer of material, fi=1+Li/100DiEnd cap shielding coefficient of axial shielding factor of i-th layer, DiIs the i-th shield layer outer diameter, LiIs the i-th shielding layer outer length, tiIs the ith shield layer thickness.
(2) Establishing a magnetic noise (eddy current noise) model generated by the innermost magnetic shielding barrel:
wherein mu0=4π×10-7N/A2Is a vacuum permeability of r1=D1/2-t1The inner radius of the innermost layer, k is 1.38 × 10-23J/K is Boltzmann constant, T is Kelvin temperature, and sigma is the innermost screenThe conductivity of the shielding material, G, is a coefficient related to the aspect ratio L/D, when L/D is 1, 1.5, 2, G is 0.657, 0.460, 0.438, respectively.
(3) Establishing a total volume model of the four-layer magnetic shielding barrel with the cover:
wherein,is the volume of the ith layer of magnetic shielding barrel. diIs the i-th shield layer inner diameter, liIs the length in the ith shield layer.
(4) Establishing a four-layer magnetic shielding barrel structure model containing all structural parameters influencing magnetic shielding performance and magnetic noise:
wherein DLiFor the axial spacing between the i-th and i + 1-th shield layers, including DL1,DL2,DL3;DRiFor the radial spacing between the i-th and i + 1-th shielding layers, including DR1,DR2,DR3;tiIs the thickness of the ith shielding layer, including t1,t2,t3,t4;Is the average radius of the innermost layer;is the average length of the innermost layer. Four-layer magnetic shielding barrel structure consisting oft1,t2,t3,t4,DL1,DL2,DL3,DR1,DR2,DR3And 12 parameters are determined.
(5) Substituting the structural model of the four-layer magnetic shielding barrel in the step (4) into the total axial magnetic shielding factor model of the four-layer magnetic shielding barrel with the cover in the step (1) to obtain the total axial shielding factor model S 'of the four-layer magnetic shielding barrel with the cover, which contains 12 structural parameters influencing the magnetic shielding performance and the magnetic noise'Atot:
Substituting the structure model of the four-layer magnetic shielding barrel in the step (4) into the magnetic noise model generated by the innermost magnetic shielding barrel in the step (2) to obtain a magnetic noise (eddy current noise) model delta B ' of the four-layer magnetic shielding barrel with the cover, wherein the model delta B ' contains 12 structural parameters influencing the magnetic shielding performance and the magnetic noise 'eddy:
Substituting the structural model of the four-layer magnetic shielding barrel in the step (4) into the total volume model of the four-layer magnetic shielding barrel with the cover in the step (3) to obtain a total volume model V ' of the four-layer magnetic shielding barrel with the cover, wherein the total volume model V ' contains 12 structural parameters influencing magnetic shielding performance and magnetic noise 'tot:
(6) Setting four layers of magnetic shielding barrel initial structure parameters, and calculating total axial shielding factor under the structure parameters
12 structural parameters (including the innermost layer level) affecting the magnetic shield performance and the magnetic noise in the above (4) were setAverage lengthAverage radius of innermost layerThickness t of each layeriInter-layer axial spacing DLiInter-layer radial spacing DRi) The variation interval:
(7) is prepared from S 'in the above (5)'AtotAs an optimization target, the method of (6) aboveAs a constraint condition one, the method as set forth in (6) aboveAnd (3) as a constraint condition II, optimizing 12 structural parameters influencing the magnetic shielding performance and the magnetic noise in the step (4) by adopting a multi-parameter particle swarm algorithm with constraint to obtain the structural parameters of the four-layer magnetic shielding barrel when the axial shielding factor of the four-layer magnetic shielding barrel with the cover is maximum, and marking the structural parameters as the maximum magnetic noise of the four-layer magnetic shielding barrel with the cover under the structural parameters
(8) Delta B 'of the above (5)'eddyAs an optimization target, the method of (6) aboveAs a constraint condition one, the method as set forth in (6) aboveAs a second constraint condition, optimizing 12 structural parameters influencing the magnetic shielding performance and the magnetic noise in the step (4) by adopting a multi-parameter particle swarm algorithm with constraint to obtain the magnetic noise maximum of the four-layer magnetic shielding barrel with the coverThe structural parameters of the hourly four-layer magnetic shielding barrel are that the magnetic noise of the four-layer magnetic shielding barrel with the cover is minimum under the structural parameters and is recorded as
(9) In the above (7)The above (8)Constituting a magnetic noise variation intervalDividing the interval 10 into equal partsWherein
(10) Is prepared from S 'in the above (5)'AtotThe optimization objective was to obtain V 'in the above (5)'totAs a constraint one, willSequentially serving as a constraint condition II, performing 11 sub-optimization on 12 structural parameters influencing the magnetic shielding performance and the magnetic noise in the step (4) by adopting a multi-parameter particle swarm algorithm with constraint to obtain the j sub-optimized maximum value of the axial shielding factor of the four-layer covered magnetic shielding barrelThe corresponding parameters of the 4-layer magnetic shielding barrel structure are recorded as follows:
substituting the structural parameters of the 4 layers of magnetic shielding barrels into the magnetic noise model of the four layers of magnetic shielding barrels with covers in the step (5)Type delta B'eddySolving the magnetic noise corresponding to the jth sub-optimization(1≤j≤11)。
(11) Sequentially calculating according to 11 sub-optimization results in (10) aboveIs recorded as Delta SjSequentially calculateIs recorded as Delta BjJ is more than or equal to 1 and less than or equal to 10, and calculating delta Sj/ΔδBjPlotting Δ Sj/ΔδBjA curve showing the variation of the axial shielding factor as a function of the variation of the magnetic noise, Δ Sj/ΔδBjThe larger the value is, the faster the axial shielding factor is increased, the slower the magnetic noise is increased, and the better the optimization effect of the magnetic shielding barrel is. Selecting Delta Sj/ΔδBjThe maximum point in the curve, this time optimized maximum point is obtained at j ═ 7: delta S7/ΔδB 712220, i.e. step (10) 8 th optimization, the corresponding four-layer magnetic shielding barrel structure parameters are:
obtaining the optimized structural parameters of the four-layer magnetic shielding barrel, and finishing the optimization design.
Therefore, the shielding factor of the magnetic shield bucket after optimization is 2.1350 × 10 compared with that of the magnetic shield bucket before optimization3Increase to 3.8327 × 104Lifting deviceIncreased by one order of magnitude, magnetic noise (eddy current noise)Reduced toThe reduction is 15%.
As shown in FIG. 2, Δ S plotted according to the present inventionj/ΔδBjGraph with ordinate representing total axial shielding factor variation Δ SjAnd magnetic noise variation amount delta BjThe abscissa is the total axial shielding factor and the magnetic noise change times, the curve reveals the relationship between the axial total shielding factor variation and the magnetic noise variation in the optimization process, and Delta S in the curvej/ΔδBjThe larger the value is, the faster the axial shielding factor is increased, the slower the magnetic noise is increased, the better the optimization effect of the magnetic shielding barrel is, and Delta S is selected in the designj/ΔδBjAnd taking the four-layer magnetic shielding barrel structure corresponding to the maximum point as a final optimization result. The optimization maximum point is obtained at j-7: delta S7/ΔδB 712220, i.e. step (10) 8 th optimization, the corresponding four-layer magnetic shielding barrel structure parameters are:
ΔSj/ΔδBjthe curve chart reveals the relationship between the magnetic noise variation and the axial magnetic shielding factor variation under different structural parameters in the optimization process of the magnetic shielding barrel, and provides theoretical reference for the optimization design of the magnetic shielding barrel of the atomic spin magnetometer.
The above description is only of the preferred embodiments of the present invention, and it should be noted that: it will be apparent to those skilled in the art that various modifications and adaptations can be made without departing from the principles of the invention and these are intended to be within the scope of the invention.
Those skilled in the art will appreciate that the invention may be practiced without these specific details.
Claims (2)
1. A design method of a high-performance low-noise magnetic shielding barrel is characterized by comprising the following steps:
(1) establishing a four-layer magnetic shielding barrel with a cover total radial magnetic shielding factor model:
establishing a four-layer magnetic shielding barrel total axial magnetic shielding factor model with a cover:
μiis the permeability of the ith layer of material, fi=1+Li/100DiEnd cover shielding coefficient of axial shielding factor of ith layer,DiIs the i-th shield layer outer diameter, LiIs the i-th shielding layer outer length, tiIs the thickness of the ith shielding layer;
(2) establishing a magnetic noise model generated by the innermost magnetic shielding barrel:
wherein, mu0=4π×10-7N/A2Is a vacuum permeability of r1=D1/2-t1The inner radius of the innermost layer, k is 1.38 × 10-23J/K is boltzmann constant, T is kelvin temperature, σ is electrical conductivity of the innermost shielding material, G is a coefficient related to aspect ratio L/D, and when L/D is 1, 1.5, 2, G is 0.657, 0.460, 0.438, respectively;
(3) establishing a total volume model of the four-layer magnetic shielding barrel with the cover:
wherein,is the volume of the i-th layer magnetic shielding barrel, diIs the i-th shield layer inner diameter, liIs the length in the ith shielding layer;
(4) establishing a four-layer magnetic shielding barrel structure model containing all structural parameters influencing magnetic shielding performance and magnetic noise:
wherein DLiFor the axial spacing between the i-th and i + 1-th shield layers, including DL1,DL2,DL3;DRiFor the radial spacing between the i-th and i + 1-th shielding layers, including DR1,DR2,DR3;tiIs the thickness of the ith shielding layer, including t1,t2,t3,t4;Is the average radius of the innermost layer;is the average length of the innermost layer. Four-layer magnetic shielding barrel structure consisting of t1,t2,t3,t4,DL1,DL2,DL3,DR1,DR2,DR3Determining 12 parameters;
(5) substituting the four-layer magnetic shielding barrel structure model in the step (4) into the four-layer covered magnetic shielding barrel total axial magnetic shielding factor model in the step (1) to obtain a four-layer covered magnetic shielding barrel total axial shielding factor model S 'containing 12 structural parameters influencing magnetic shielding performance and magnetic noise'Atot:
Substituting the structure model of the four-layer magnetic shielding barrel in the step (4) into the magnetic noise model generated by the innermost magnetic shielding barrel in the step (2) to obtain a magnetic noise model delta B ' of the four-layer magnetic shielding barrel with the cover, wherein the magnetic noise model delta B ' contains 12 structural parameters influencing the magnetic shielding performance and the magnetic noise 'eddy:
Substituting the four-layer magnetic shielding barrel structure model in the step (4) into the four-layer magnetic shielding barrel structure model in the step (3)Obtaining a total volume model V ' of the four-layer magnetic shielding barrel with the cover, wherein the total volume model V ' contains 12 structural parameters influencing magnetic shielding performance and magnetic noise 'tot:
(6) Setting four layers of magnetic shielding barrel initial structure parameters, and calculating total axial shielding factor under the structure parameters
Setting 12 structural parameter change intervals influencing magnetic shielding performance and magnetic noise in the step (4):
(7) is prepared from S 'in step (5)'AtotAs an optimization target, the step (6) isAs a constraint condition one, the step (6)And (2) as a constraint condition II, optimizing 12 structural parameters influencing the magnetic shielding performance and the magnetic noise in the step (4) by adopting a multi-parameter particle swarm algorithm with constraint to obtain the structural parameters of the four-layer magnetic shielding barrel when the axial shielding factor of the four-layer magnetic shielding barrel with the cover is maximum, and marking the structural parameters as the maximum magnetic noise of the four-layer magnetic shielding barrel with the cover under the structural parameters
(8) By delta B 'in step (5)'eddyAs an optimization target, the step (6) isAs a constraint condition one, the step (6)And (2) as a constraint condition II, optimizing 12 structural parameters influencing the magnetic shielding performance and the magnetic noise in the step (4) by adopting a multi-parameter particle swarm algorithm with constraint to obtain a four-layer magnetic shielding barrel structural parameter when the magnetic noise of the four-layer magnetic shielding barrel with the cover is minimum, and marking the four-layer magnetic shielding barrel with the cover as the minimum magnetic noise under the structural parameter
(9) In step (7)And in step (8)Constituting a magnetic noise variation intervalDividing the interval 10 into equal partsWherein
(10) Is prepared from S 'in step (5)'AtotAs an optimization target, V 'in the step (5)'totAs a constraint one, willSequentially serving as constraint conditions II, wherein j is more than or equal to 1 and less than or equal to 11; performing 11 sub-optimization on 12 structural parameters influencing the magnetic shielding performance and the magnetic noise in the step (4) by adopting a multi-parameter particle swarm algorithm with constraint to obtain the jth sub-optimized fourAxial shielding factor maximum value of magnetic shielding barrel with coverThe corresponding parameters of the 4-layer magnetic shielding barrel structure are recorded as follows:
substituting the obtained 4-layer magnetic shielding barrel structure parameters into the four-layer magnetic shielding barrel with cover magnetic noise model delta B 'in the step (5)'eddySolving the magnetic noise corresponding to the jth sub-optimization1≤j≤11;
(11) According to 11 suboptimal results in the step (10), calculating in sequenceIs recorded as Delta SjSequentially calculateIs recorded as Delta BjJ is more than or equal to 1 and less than or equal to 10, and calculating delta Sj/ΔδBjPlotting Δ Sj/ΔδBjAnd changing the curve, selecting a maximum point of the curve, wherein 12 structural parameters of the 4 layers of magnetic shielding barrels corresponding to the point are the final optimization result.
2. The design method of a high-performance low-noise magnetic shielding barrel according to claim 1, characterized in that: the four layers of magnetic shielding barrels are made of permalloy.
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