CN106772134B - A kind of apparatus and method of automatic field compensation - Google Patents

A kind of apparatus and method of automatic field compensation Download PDF

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Publication number
CN106772134B
CN106772134B CN201710118620.9A CN201710118620A CN106772134B CN 106772134 B CN106772134 B CN 106772134B CN 201710118620 A CN201710118620 A CN 201710118620A CN 106772134 B CN106772134 B CN 106772134B
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axis
coil
gradient coil
magnetic field
order gradient
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CN106772134A (en
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周欣
肖康达
孙献平
赵修超
孔霞
叶朝辉
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Wuhan Institute of Physics and Mathematics of CAS
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Wuhan Institute of Physics and Mathematics of CAS
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    • GPHYSICS
    • G01MEASURING; TESTING
    • G01RMEASURING ELECTRIC VARIABLES; MEASURING MAGNETIC VARIABLES
    • G01R33/00Arrangements or instruments for measuring magnetic variables
    • G01R33/0017Means for compensating offset magnetic fields or the magnetic flux to be measured; Means for generating calibration magnetic fields

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  • Condensed Matter Physics & Semiconductors (AREA)
  • General Physics & Mathematics (AREA)
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Abstract

The invention discloses a kind of devices for automatic field compensation, the first magnetoresistive chip, the second magnetoresistive chip, third magnetoresistive chip and the 4th magnetoresistive chip including being used to measure magnetic field value in external environment, it further include fixed cell and support unit, further include the three-dimensional Helmholtz coil, three-dimensional First-order Gradient coil and second order gradient coil unit for shimming, further includes acquisition unit, feedback unit and rotary unit.Also disclose a kind of method in automatic compensation magnetic field.Field compensation range of the present invention is big, and structure is simple, easy to operate.It is applicable in application based on the physical field research by the detection of downfield environmental signal and atomic magnetic force, is of great significance.

Description

A kind of apparatus and method of automatic field compensation
Technical field
The invention belongs to magnetic field shimming fields, are more particularly to a kind of device of automatic field compensation, further relate to one kind certainly The method of moving field compensation, the related science suitable for downfield environment are studied.
Background technique
Magnetic field is objective reality, for example, the magnetic field of earth surface is about 0.5 Gauss, geographical location and environment are not Together, its size can change with direction.
Now many scientific research needs carry out in downfield or nearly zero magnetic field environment, such as SERF (spin- Exchange-relaxation-free) atomic magnetic force meter could effectively work when its probe is under 10nT environment, because This, it needs to shield the magnetic field in external environment using materials such as multilayer permalloys.
The shielding cylinder of permalloy production limits the application range of atomic magnetic force meter in volume, weight, structure.Example For the detection of underwater different magnetic, the detection in earth's magnetic field, the detection of deep airborne magnetic, this just needs one for such as satellite or aircraft The extraneous useless magnetic field of kind active shield, the device for obtaining extraneous useful magnetic signal.
The method that some automatic compensation magnetic fields had been developed in recent years and measure magnetic field.For example, S.J.Seltzer et al. In " Unshielded three-axis vector operation of a spin-exchange-relaxation-free It proposes that magnetic field modulation can be passed through in atomic magnetometer " [Appl.Phys.Lett.85 (20), 4804 (2004)] Mode compensate magnetic field so that central area reaches nearly null field.Jiancheng Fang et al. is in " In situ triaxial magnetic field compensation for the spin-exchange-relaxation-free atomic It proposes and can finally be detected by field sweep in magnetometer " [Rev.Sci.Instrum.83,103104 (2012)] The mode of light intensity compensates magnetic field.
Although current field compensation mode is able to solve some problems of application aspect.But they still have it is certain Limitation.For example, compensating magnetic field by way of modulation, this requires the magnetic field of magnetometer probe working environment to be less than 10nT. Therefore, develop new technology and method to be still a problem to be solved, the present invention will provide automatic compensation magnetic in response to this problem The apparatus and method of field.
Summary of the invention
It is an object of the invention in view of the problems of the existing technology, provide a kind of device of automatic field compensation, A kind of method that also proposed automatic field compensation.Solve the problems, such as that field compensation range is small, also solution atomic magnetic force meter is small The problem of type.
To achieve the goals above, apparatus of the present invention use following technical scheme:
A kind of device of automatic field compensation, including turntable further include the three-dimensional Helmholtz of setting on a spinstand Coil and three-dimensional First-order Gradient coil are horizontally arranged with the lucite tube of tubular on turntable, are arranged on lucite tube Z2 gradient coil, lucite tube is interior to be fixed with supporting table by support rod, and four positioned at rectangular surfaces are provided in supporting table The first magnetoresistive chip, the second magnetoresistive chip, third magnetoresistive chip and the 4th magnetoresistive chip of apex angle, the folder of rectangular surfaces and horizontal plane Angle is 45 degree, and three-dimensional Helmholtz coil includes X-axis Helmholtz coil, Y-axis Helmholtz coil and Z axis Helmholtz's line Circle, three-dimensional First-order Gradient coil includes X-axis First-order Gradient coil, Y-axis First-order Gradient coil, Z axis First-order Gradient coil, Z2 gradient The central axis of coil, lucite tube central axis, the central axis of Z axis Helmholtz coil, Z axis First-order Gradient coil Central axis is overlapped, Z2 gradient coil central point, three-dimensional Helmholtz coil central point, three-dimensional First-order Gradient hub of a spool point, Lucite tube central point, rectangular surfaces central point are overlapped.
It further include for being exported to the first magnetoresistive chip, the second magnetoresistive chip, third magnetoresistive chip and the 4th magnetoresistive chip Signal carry out the differential amplifier circuit of differential amplification, differential amplifier circuit is connected by the first multi-way contral card and computer It connects, computer is connect with the second multi-way contral card, the second multi-way contral card and X-axis First-order Gradient coil, Y-axis First-order Gradient Coil, Z axis First-order Gradient coil, Z2 gradient coil connection, the second multi-way contral card also pass through power amplifier respectively with the X-axis last of the twelve Earthly Branches Mu Huozi coil, Y-axis Helmholtz coil are connected with Z axis Helmholtz coil.
It is provided with rectangle on turntable as described above and places block, rectangle is placed and offers bar shaped placing groove, bar shaped on block The cross section of placing groove is up-side down triangle, and lucite tube is placed in bar shaped placing groove.
X-axis Helmholtz coil, Y-axis Helmholtz coil, Z axis Helmholtz coil include concentrically as described above A pair of of coil of axis, the central point coincidence of X-axis Helmholtz coil, Y-axis Helmholtz coil, Z axis Helmholtz coil, X Axis Helmholtz coil, Y-axis Helmholtz coil, Z axis Helmholtz coil central axis be mutually perpendicular to, X-axis Helmholtz Coil, Y-axis Helmholtz coil, the outer diameter of Z axis Helmholtz coil are equal, X-axis Helmholtz coil, Y-axis Helmholtz's line It is fixed to each other between circle, Z axis Helmholtz coil by acrylic plastic stent and plastic screw.
X-axis First-order Gradient coil, Y-axis First-order Gradient coil, Z axis First-order Gradient coil include concentrically as described above A pair of of coil of axis, the central point coincidence of X-axis First-order Gradient coil, Y-axis First-order Gradient coil, Z axis First-order Gradient coil, X Axis First-order Gradient coil, Y-axis First-order Gradient coil, Z axis First-order Gradient coil central axis be mutually perpendicular to, X-axis First-order Gradient Coil, Y-axis First-order Gradient coil, the outer diameter of Z axis First-order Gradient coil are equal, X-axis First-order Gradient coil, Y-axis First-order Gradient line It encloses, the distance D of each pair of coil of Z axis First-order Gradient coil and outside diameter d ratio are 0.886, X-axis First-order Gradient coil, Y-axis one It is fixed between rank gradient coil, Z axis First-order Gradient coil by acrylic plastic stent and plastic screw.
Z2 gradient coil as described above include first annular coil to and the second loop coil pair, first annular coil pair Two loop coils distance and outer diameter ratio be 1.2, the distance and outer diameter of two loop coils of the second loop coil pair Ratio is 0.3, first annular coil to and the central axis of the second loop coil pair, lucite tube central axis be overlapped.
First annular coil as described above to and the second loop coil to the wire casing for being arranged at organic glass pipe outer wall In.
A kind of method of automatic field compensation, comprising the following steps:
Step 1, for X-axis Helmholtz coil, Y-axis Helmholtz coil, Z axis Helmholtz coil, successively load is set respectively Fixed each given voltage tests X-axis Helmholtz coil, Y-axis Helmholtz coil, Z axis using the first magnetoresistive chip respectively Helmholtz coil is worth corresponding magnetic field value size in each given voltage, is fitted X-axis Helmholtz coil, Y-axis last of the twelve Earthly Branches nurse respectively Suddenly hereby coil, the given voltage of Z axis Helmholtz coil and magnetic field ratio relation;
The each of setting is successively loaded respectively for X-axis First-order Gradient coil, Y-axis First-order Gradient coil, Z axis First-order Gradient coil It is a to give constant current, X-axis First-order Gradient coil, Y-axis First-order Gradient coil, one ladder of Z axis are tested respectively using the first magnetoresistive chip Spend coil in the corresponding magnetic field value size of each given current value, respectively linear fit X-axis First-order Gradient coil, one ladder of Y-axis Spend the ratio relation to constant current and magnetic field of coil, Z axis First-order Gradient coil;
It successively loads for Z2 gradient coil to constant current, using the test of the first magnetoresistive chip under each given current condition Corresponding magnetic field value size, the ratio relation to constant current and magnetic field of linear fit Z2 gradient coil;
Step 2, the rotation speed for setting turntable, X-axis First-order Gradient coil, Y-axis First-order Gradient coil, one ladder of Z axis Spend coil, X-axis Helmholtz coil, Y-axis Helmholtz coil, Z axis Helmholtz coil, Z2 gradient coil, the first magnetic resistance core Piece, the second magnetoresistive chip, third magnetoresistive chip, the 4th magnetoresistive chip are as turntable rotates in the horizontal plane;
Step 3, initialized target magnetic field value B0Matrix, magnetic field of the goal value B0The matrix that matrix is one 1 × 12;
Step 4 measures magnetic field using the first magnetoresistive chip, the second magnetoresistive chip, third magnetoresistive chip, the 4th magnetoresistive chip Value Bn, the number of n representative measurement, acquisition measurement magnetic field value BnMatrix measures magnetic field value BnMatrix is 1 × 12 matrix, measurement Magnetic field value BnElement in matrix respectively correspond from top to bottom the first magnetoresistive chip measure X axis, Y-axis, Z axis to magnetic field Value, the second magnetoresistive chip measure X axis, Y-axis, Z axis to magnetic field value, third magnetoresistive chip measures X axis, Y-axis, Z axis To magnetic field value and the 4th magnetoresistive chip measure X axis, Y-axis, Z axis to magnetic field value;
Step 5 judges magnetic field of the goal value B0Matrix subtracts measurement magnetic field value BnMatrix of differences e after matrixnModulus value whether In error range, if in error range, step 8 is gone to;If not going to step 6 in error range;
Step 6, by matrix of differences enIt carries out PID arithmetic and obtains output matrix Pn, output matrix PnFor 1 × 12 matrix;
Step 7, by output matrix Pn, the given voltage of X-axis Helmholtz coil and ratio relation, the Y-axis last of the twelve Earthly Branches nurse in magnetic field Suddenly hereby the ratio relation in the given voltage of coil and magnetic field, the given voltage of Z axis Helmholtz coil and magnetic field ratio relation, X-axis First-order Gradient coil to the ratio relation in constant current and magnetic field, the ratio to constant current and magnetic field of Y-axis First-order Gradient coil Value relationship, Z axis First-order Gradient coil to the ratio relation in constant current and magnetic field, Z2 gradient coil to constant current and magnetic field Ratio relation is input in the linprog function in Matlab, uses the L1 norm programming evaluation min ∑ based on linear programming Vi×wi+Ij×NjOptimization problem is minimized, optimization matrix is obtained, first three element optimized in matrix corresponds respectively to the X-axis last of the twelve Earthly Branches Mu Huozi coil, Y-axis Helmholtz coil, the Optimized loading voltage in Z axis Helmholtz coil, optimize latter four in matrix Element correspond respectively to X-axis First-order Gradient coil, Y-axis First-order Gradient coil, Z axis First-order Gradient coil, in Z2 gradient coil Optimized loading electric current, goes to step 4, wherein i ∈ { 1,2,3 }, j ∈ { 1,2,3,4 }, w1、w2、w3Respectively indicate X-axis Hai Muhuo The hereby voltage weight of coil, Y-axis Helmholtz coil, Z axis Helmholtz coil;V1、V2、V3Respectively indicate X-axis Helmholtz's line The on-load voltage of circle, Y-axis Helmholtz coil, Z axis Helmholtz coil;N1、N2、N3、N4Respectively indicate X-axis First-order Gradient line The current weights of circle, Y-axis First-order Gradient coil, Z axis First-order Gradient coil, Z2 gradient coil, I1、I2、I3、I4Respectively indicate X-axis First-order Gradient coil, Y-axis First-order Gradient coil, Z axis First-order Gradient coil, Z2 gradient coil loading current, linprog function Constraint condition are as follows: 10-3V≤|Vi|≤10V;10-6A≤|Ij|≤2×10-2A;Magnetic field error △ B=| Bn-B0|≤10nT; Uniformity of magnetic field is less than or equal to 10-3
The present invention has the advantages that compared with the existing technology
Field compensation range of the present invention is big, and structure is simple, easy to operate.It is applicable in the object based on the detection of downfield environmental signal Area research and atomic magnetic force meter application are managed, is of great significance.
Detailed description of the invention
Fig. 1 is general structure schematic diagram of the invention;
The program flow diagram of Fig. 2 field compensation of the present invention;
Fig. 3 is the main view that rectangle places block and lucite tube coupling part;
Fig. 4 is the left view that rectangle places block and lucite tube coupling part;
Fig. 5 is the right view that rectangle places block and lucite tube coupling part;
In figure: 1-X axis First-order Gradient coil;2-Z axis First-order Gradient coil;3-Y axis First-order Gradient coil;4-Z axis last of the twelve Earthly Branches nurse Hereby coil suddenly;5-X axis Helmholtz coil;6-Y axis Helmholtz coil;The first magnetoresistive chip of 7-;8-Z2 gradient coil;9- Two magnetoresistive chips;10- supporting table;11- rectangle places block;The first fixed link of 12-;The second fixed link of 13-;14- third fixed link; 15- turntable;16- computer;The first data line of 17-;18- the first multi-way contral card;The second data line of 19-;20- difference is put Big circuit;21- third data line;The 4th data line of 22-;The 5th data line of 23-;24- power amplifier;The 6th data line of 25-; 26- the second multi-way contral card;The 7th data line of 27-;The first pcb board of 28-;The second pcb board of 29-;30- third magnetoresistive chip; The 4th magnetoresistive chip of 31-;32- lucite tube;33- steady arm;The 4th fixed link of 34-;The 5th fixed link of 35-;36- the 6th is solid Fixed pole;The 7th fixed link of 37-;The 8th fixed link of 38-;39- terminal box.
Specific embodiment
Present invention is further described in detail with reference to the accompanying drawing:
Embodiment 1:
A kind of device of automatic field compensation, including turntable 15 further include the three-dimensional last of the twelve Earthly Branches nurse being arranged on turntable 15 Hereby coil and three-dimensional First-order Gradient coil suddenly are horizontally arranged with the lucite tube 32 of tubular, lucite tube on turntable 15 Z2 gradient coil 8 is arranged on 32, lucite tube 32 is interior to be fixed with supporting table 10 by support rod, is provided in supporting table 10 Positioned at the first magnetoresistive chip 7 of four apex angles of rectangular surfaces, the second magnetoresistive chip 9, third magnetoresistive chip 30 and the 4th magnetic resistance core The angle of piece 31, rectangular surfaces and horizontal plane is 45 degree, and three-dimensional Helmholtz coil includes X-axis Helmholtz coil 5, Y-axis last of the twelve Earthly Branches nurse Hereby coil 6 and Z axis Helmholtz coil 4, three-dimensional First-order Gradient coil include X-axis First-order Gradient coil 1, Y-axis First-order Gradient suddenly Coil 3, Z axis First-order Gradient coil 2, central axis, 32 central axis of lucite tube, Z axis Helmholtz of Z2 gradient coil 8 The central axis of coil 4, the central axis of Z axis First-order Gradient coil 2 are overlapped, 8 central point of Z2 gradient coil, three-dimensional Helmholtz Hub of a spool point, three-dimensional First-order Gradient hub of a spool point, 32 central point of lucite tube, rectangular surfaces central point are overlapped.
A kind of device of automatic field compensation further includes for the first magnetoresistive chip 7, the second magnetoresistive chip 9, third magnetic Hinder the differential amplifier circuit 20 of the signal progress differential amplification of chip 30 and the output of the 4th magnetoresistive chip 31, differential amplifier circuit 20 It is connect by the first multi-way contral card 18 with computer 16, computer 16 is connect with the second multi-way contral card 26, more than second Channel control card 26 and X-axis First-order Gradient coil 1, Y-axis First-order Gradient coil 3, Z axis First-order Gradient coil 2, Z2 gradient coil 8 Connection, the second multi-way contral card 26 also by power amplifier 24 respectively with X-axis Helmholtz coil 5, Y-axis Helmholtz coil 6 and Z axis Helmholtz coil 4 connect.X-axis, Y-axis, Z axis are mutually perpendicular to, and plane where X-axis, Z axis is horizontal plane.
It is provided with rectangle on turntable 15 and places block 11, rectangle is placed and offers bar shaped placing groove on block 11, and bar shaped is placed The cross section of slot is up-side down triangle, and lucite tube 32 is placed in bar shaped placing groove.
X-axis Helmholtz coil 5, Y-axis Helmholtz coil 6, Z axis Helmholtz coil 4 are including concentrically axis A pair of of coil, the central point coincidence of X-axis Helmholtz coil 5, Y-axis Helmholtz coil 6, Z axis Helmholtz coil 4, the X-axis last of the twelve Earthly Branches Mu Huozi coil 5, Y-axis Helmholtz coil 6, Z axis Helmholtz coil 4 central axis be mutually perpendicular to, X-axis Helmholtz's line Circle 5, Y-axis Helmholtz coil 6, the outer diameter of Z axis Helmholtz coil 4 are equal, X-axis Helmholtz coil 5, Y-axis Helmholtz It is fixed to each other between coil 6, Z axis Helmholtz coil 4 by acrylic plastic stent and plastic screw.
X-axis First-order Gradient coil 1, Y-axis First-order Gradient coil 3, Z axis First-order Gradient coil 2 are including concentrically axis A pair of of coil, the central point coincidence of X-axis First-order Gradient coil 1, Y-axis First-order Gradient coil 3, Z axis First-order Gradient coil 2, X-axis one Rank gradient coil 1, Y-axis First-order Gradient coil 3, Z axis First-order Gradient coil 2 central axis be mutually perpendicular to, X-axis First-order Gradient line Circle 1, Y-axis First-order Gradient coil 3, the outer diameter of Z axis First-order Gradient coil 2 are equal, X-axis First-order Gradient coil 1, Y-axis First-order Gradient Coil 3, Z axis First-order Gradient coil 2 each pair of coil distance D and outside diameter d ratio be 0.886, X-axis First-order Gradient coil 1, It is fixed between Y-axis First-order Gradient coil 3, Z axis First-order Gradient coil 2 by acrylic plastic stent and plastic screw.
Z2 gradient coil 8 include first annular coil to and the second loop coil pair, two rings of first annular coil pair The distance and outer diameter ratio of shape coil are 1.2, and the distance and outer diameter ratio of two loop coils of the second loop coil pair are 0.3, first annular coil to and the central axis of the second loop coil pair, 32 central axis of lucite tube be overlapped.
First annular coil to and the second loop coil to being arranged in the wire casing of 32 outer wall of lucite tube.
Embodiment 2:
A kind of device for automatic field compensation, including fixed cell, support unit, three-dimensional Helmholtz coil, three Tie up First-order Gradient coil, second order gradient coil unit, acquisition unit, feedback unit, rotary unit.
Fixed cell includes that rectangle places block 11, the first fixed link 12, the second fixed link 13, third fixed link the 14, the 4th Fixed link 34, the 5th fixed link 35, the 6th fixed link 36, the 7th fixed link 37, the 8th fixed link 38, it is whole that rectangle places block 11 It for rectangle, is fixed on support rod 33, the top surface that rectangle places block 11 is provided with the placing groove of strip, the cross section of placing groove For up-side down triangle, lucite tube 32 is placed on the placing groove that rectangle is placed on block 11, and diameter is 100mm on turntable 15 The first fixed link 12, the second fixed link 13, the 4th fixed link 34 and the 5th fixed link 35, Y-axis Hai Muhuo are symmetric on circle Hereby coil 6 is supported on fixed turntable 15 by the second fixed link 13 and the 4th fixed link 34, and lucite tube 32 passes through the One fixed link 12 and the 5th fixed link 35 are supported on fixed turntable 15, and diameter is on 300mm circle in phase on turntable 15 Third fixed link 14, the 6th fixed link 36, the 7th fixed link 37, the 8th fixed link 38 with symmetric mode distribution, third are fixed Bar 14, the 6th fixed link 36, the 7th fixed link 37, the 8th fixed link 38 bottom end connect with turntable 15, third fixed link 14, 6th fixed link 36, the 7th fixed link 37, the 8th fixed link 38 top connect with Y-axis First-order Gradient coil 3.
Support unit includes the supporting table 10 and cylindrical support for placing the first pcb board 28, the second pcb board 29 Bar 33, the length × width × height of supporting table 10 are 40 × 40 × 10mm3Rectangular block, the central point of 10 upper surface of supporting table is located at three The place 10mm immediately below Helmholtz coil central point is tieed up, the first pcb board 28 and the second pcb board 29 are consolidated by using plastic screw 10 both ends of supporting table are scheduled on, the both ends of cylindrical support bar 33 are connected through a screw thread supporting table 10 and turntable 15 respectively.
Signal acquisition unit includes for surveying magnetic field the first magnetoresistive chip 7 in environment, the second magnetoresistive chip 9, third magnetic resistance Chip 30, the 4th magnetoresistive chip 31 are used for transmission the first magnetoresistive chip 7, the second magnetoresistive chip 9, third magnetoresistive chip the 30, the 4th The first pcb board 28, the second pcb board 29 for the magnetic signal that magnetoresistive chip 31 exports, the first magnetoresistive chip 7 and the second magnetoresistive chip 9 It is welded on the first pcb board 28, third magnetoresistive chip 30 and the 4th magnetoresistive chip 31 are welded on the second pcb board 29, the first magnetic Chip 7, the second magnetoresistive chip 9, third magnetoresistive chip 30 and the 4th magnetoresistive chip 31 are hindered in distributed rectangular and place plane and water Plane be in 45 degree of angles, the first pcb board 28, the second pcb board 29 length × it is wide be 40 × 40mm, the central point of the first pcb board 28 It is overlapped with the line of 29 central point of the second pcb board with the axis of Z axis Helmholtz coil 4, the central point of line and three-dimensional last of the twelve Earthly Branches nurse Hereby the central point of coil is overlapped suddenly.
Signal acquisition unit further includes differential amplifier circuit 20 and the first multi-way contral truck 18, the first magnetoresistive chip 7, Second magnetoresistive chip 9, third magnetoresistive chip 30, the 4th magnetoresistive chip 31 acquisition magnetic signal pass through respectively third data line 21 with Differential amplifier circuit 20 connects, and differential amplifier circuit 20 is connect by the second data line 19 with the first multi-way contral truck 18, First multi-way contral truck 18 is connect by the first data line 17 with computer 16.
Signal feedback unit further includes the second multi-way contral card 26, power amplifier 24, and power amplifier 24 is by the second multi-pass The output voltage of road control card 26 acts on X-axis Helmholtz coil 5, Y-axis Helmholtz coil 6, Z axis Helmholtz coil 4, X-axis First-order Gradient coil 1, Y-axis First-order Gradient coil 3, Z axis First-order Gradient coil 2, Z2 gradient coil 8 pass through the 4th number respectively It is connect according to line 22 with the second multi-way contral card 26, X-axis Helmholtz coil 5, Y-axis Helmholtz coil 6, Z axis Helmholtz Coil 4 is connect by the 5th data line 23 with power amplifier 24 respectively, and power amplifier 24 passes through the 6th data line more than 25 and second Channel control card 26 connects, and the second multi-way contral card 26 is connect by the 7th data line 27 with computer 16.
X-axis, Y-axis, Z axis are mutually perpendicular to, and plane where X-axis, Z axis is horizontal plane.
Three-dimensional Helmholtz coil includes X-axis Helmholtz coil 5, Y-axis Helmholtz coil 6, Z axis Helmholtz coil 4, X-axis Helmholtz coil 5, Y-axis Helmholtz coil 6, Z axis Helmholtz coil 4 include a pair of of line of concentrically axis Circle, the central point coincidence of X-axis Helmholtz coil 5, Y-axis Helmholtz coil 6, Z axis Helmholtz coil 4, X-axis Helmholtz Coil 5, Y-axis Helmholtz coil 6, Z axis Helmholtz coil 4 central axis be mutually perpendicular to, X-axis Helmholtz coil 5, Y Axis Helmholtz coil 6, the outer diameter of Z axis Helmholtz coil 4 are equal, X-axis Helmholtz coil 5, Y-axis Helmholtz coil 6, It is fixed by acrylic plastic stent with plastic screw between Z axis Helmholtz coil 4.
Three-dimensional First-order Gradient coil includes X-axis First-order Gradient coil 1, Y-axis First-order Gradient coil 3, Z axis First-order Gradient coil 2, X-axis First-order Gradient coil 1, Y-axis First-order Gradient coil 3, Z axis First-order Gradient coil 2 include a pair of of line of concentrically axis Circle, the central point coincidence of X-axis First-order Gradient coil 1, Y-axis First-order Gradient coil 3, Z axis First-order Gradient coil 2, X-axis First-order Gradient Coil 1, Y-axis First-order Gradient coil 3, Z axis First-order Gradient coil 2 central axis be mutually perpendicular to, X-axis First-order Gradient coil 1, Y Axis First-order Gradient coil 3, the outer diameter of Z axis First-order Gradient coil 2 are equal, and the outside diameter d of distance D and coil between each pair of coil meet D=0.886d relationship, X-axis First-order Gradient coil 1, Y-axis First-order Gradient coil 3 pass through sub- gram between Z axis First-order Gradient coil 2 Power plastic stent is fixed with plastic screw.The center of the central point of three-dimensional First-order Gradient coil and three-dimensional Helmholtz coil Point is overlapped.
Second order gradient coil unit includes the Z2 gradient coil 8 for generating second order gradient magnetic, and Z2 gradient coil includes First annular coil to and the second loop coil pair, the distance D1 and loop coil of two loop coils of first annular coil pair Outside diameter d 1 meet D1=1.2d1 relationship, the distance D2 of the second loop coil pair and the outside diameter d 2 of loop coil meet D2= 0.3d2 relationship, first annular coil to and the second loop coil pair central axis, 32 central axis of lucite tube, the Z axis last of the twelve Earthly Branches The central axis of Mu Huozi coil 4, Z axis First-order Gradient coil 2 central axis be overlapped, it is the central point of Z2 gradient coil 8, organic The central point coincidence of 32 central point of glass tube, the central point of three-dimensional Helmholtz coil, three-dimensional First-order Gradient coil, it is first annular Coil to and the second loop coil in the coil fixing groove being each attached on lucite tube 32.
Rotary unit includes the turntable 15 without magnetic for one-dimensional rotation, and for connecting 21 signal of third data line Output end, connection 22 signal input part of the 4th data line, the terminal box 39 for connecting 23 signal input part of the 5th data line, turntable It is connected between 15 and terminal box 39 by bearing.
First magnetoresistive chip 7, the second magnetoresistive chip 9, third magnetoresistive chip 30, the 4th magnetoresistive chip 31 measure external environment In magnetic field, magnetic signal is changed into voltage signal;Differential amplifier circuit 20 amplifies voltage signal, the voltage letter of amplification It number is obtained by the first multi-way contral card 18.Computer determines voltage and current value in every group of coil;Voltage and electric current pass through the The output of two multi-way contral cards 26;The voltage value of output makees Z axis Helmholtz coil 4, X-axis Helmholtz by power amplifier 24 Coil 5, Y-axis Helmholtz coil 6, the current value of output directly act on X-axis First-order Gradient coil 1, Z axis First-order Gradient coil 2, Y-axis First-order Gradient coil 3,8 coil of Z2 gradient coil.
Component is described as follows in apparatus of the present invention:
Z axis Helmholtz coil 4.It is made of Z axis Helmholtz coil 4 two copper wire wound coils, when work provides Z axis Magnetic field.The enameled wire that model AIW/QZY+XY-2/220 outer diameter is 0.67mm is constituted.
X-axis Helmholtz coil 5.Structure identical as Z axis Helmholtz coil 4, identical size, identical enameled wire coiling, X-axis magnetic field is provided when work.
Y-axis Helmholtz coil 6.Structure identical as Z axis Helmholtz coil 4, identical size, identical enameled wire coiling, Y-axis magnetic field is provided when work.Three-dimensional Helmholtz's line is collectively formed with Z axis Helmholtz coil 4 and X-axis Helmholtz coil 5 Circle, apparatus of the present invention typically use: the central point of each pair of coil is overlapped, and the center line of three pairs of coils is mutually perpendicular to, each pair of line The outer diameter of circle is equal.
Z axis First-order Gradient coil 2.It is made of Z axis First-order Gradient coil 2 two copper wire wound coils, when work provides Z axis First-order Gradient magnetic field.The enameled wire that model AIW/QZY+XY-2/220 outer diameter is 0.67mm is constituted.
X-axis First-order Gradient coil 1.Structure identical as Z axis First-order Gradient coil 2, identical size, identical enameled wire coiling, X-axis First-order Gradient magnetic field is provided when work.
Y-axis First-order Gradient coil 3.Structure identical as Z axis First-order Gradient coil 2, identical size, identical enameled wire coiling, Y-axis First-order Gradient magnetic field is provided when work.Constitute three-dimensional one together with Z axis First-order Gradient coil 2 and X-axis First-order Gradient coil 1 Rank gradient coil, apparatus of the present invention typically use: the central point of each pair of coil is overlapped, and the center line of three pairs of coils mutually hangs down Directly, the outer diameter of each pair of coil is equal.
Z2 gradient coil.The enameled wire that model AIW/QZY+XY-2/220 outer diameter is 0.33mm is constituted, for compensating ring Z2 gradient magnetic in border.
First magnetoresistive chip.Model HMC1053, for measuring the magnetic field in environment.
Second magnetoresistive chip.It is identical as the first magnetoresistive chip model, effect.
Third magnetoresistive chip.It is identical as the first magnetoresistive chip model, effect.
4th magnetoresistive chip.It is identical as the first magnetoresistive chip, the second magnetoresistive chip model, effect.With the first magnetoresistive chip, Second magnetoresistive chip, third magnetoresistive chip together, are placed in quadrangle.
Supporting table.Material is aluminium material, rectangle, for installing, placing the first magnetoresistive chip, the second magnetoresistive chip, third Magnetoresistive chip, the 4th magnetoresistive chip.
Support rod.PEEK material, cylindrical, there is screw thread at both ends.
Rectangle places block.PEEK material, for installing, fixing the Z2 gradient on branch lucite tube and lucite tube Coil.
First fixed link.PEEK material, for fixing Y-axis Helmholtz coil, fixed lucite tube and organic glass The Z2 gradient coil installed, placed above glass pipe.
Second fixed link.It is identical as the first fixed link material, and the 4th fixed link collective effect, for fixing Y-axis last of the twelve Earthly Branches nurse Hereby coil suddenly.
Third fixed link.It is identical as the first fixed link material, it is total with the 6th fixed link, the 7th fixed link, the 8th fixed link Same-action, for fixing Y-axis First-order Gradient coil.
4th fixed link.It is identical as the first fixed link material, and the second fixed link collective effect, for fixing Y-axis last of the twelve Earthly Branches nurse Hereby coil suddenly.
5th fixed link.It is identical as the first fixed link material, and the first fixed link collective effect, for fixing Y-axis last of the twelve Earthly Branches nurse Hereby coil suddenly, installation, the Z2 gradient coil placed above fixed lucite tube and lucite tube.
6th fixed link.It is identical as the first fixed link material, it is total with third fixed link, the 7th fixed link, the 8th fixed link Same-action, for fixing Y-axis single order coil.
7th fixed link.It is identical as the first fixed link material, it is total with third fixed link, the 6th fixed link, the 8th fixed link Same-action, for fixing Y-axis single order coil.
8th fixed link.It is identical as the first fixed link material, it is total with third fixed link, the 6th fixed link, the 7th fixed link Same-action, for fixing Y-axis First-order Gradient coil.
Turntable without magnetic.Material is aluminium and stainless steel, nonmagnetic, one-dimensional precise electric controlled rotating.
Terminal box.It is connected for line.
Computer.Model apocalypse M7150.
First data line.Computer-internal slot is used for transmission acquisition data.
First multi-way contral card.Model PCIe6251 is used for data acquisition control.
Second data line.Model SHC68-68-EPM Cable, is used for transmission acquisition data.
Differential amplifier circuit.It is made of the difference amplifier for amplifying voltage signal.
Third data line.Model BVR-1.5, transmission acquisition data.
4th data line.Model is identical as third data line.
Power amplifier.Power amplification circuit, function are that voltage remains unchanged Current amplifier.
5th data line.Model is identical as third data line.
6th data line.Model SH68-68-D1Cable is used for transmission feedback voltage data.
Second multi-way contral card.Model PCI6704 is exported for feedback voltage and electric current.
7th data line.Model is identical as the first data line.
Embodiment 3:
A method of it is carried out using embodiment 1 or embodiment 2 for automatic field compensation, comprising the following steps:
Step 1,
Successively loaded for X-axis Helmholtz coil 5 given voltage -2V, -1.5V, -1V, -0.5V, 0V, 0.5V, 1V, 1.5V, 2V are worth corresponding magnetic field value size, linear fit X-axis last of the twelve Earthly Branches nurse in each given voltage using the test of the first magnetoresistive chip 7 The hereby ratio relation of the given voltage of coil 5 and magnetic field suddenly;
Successively loaded for Y-axis Helmholtz coil 6 given voltage -2V, -1.5V, -1V, -0.5V, 0V, 0.5V, 1V, 1.5V, 2V are worth corresponding magnetic field value size, linear fit Y-axis last of the twelve Earthly Branches nurse in each given voltage using the test of the first magnetoresistive chip 7 The hereby ratio relation of the given voltage of coil 6 and magnetic field suddenly;
Successively loaded for Z axis Helmholtz coil 4 given voltage -2V, -1.5V, -1V, -0.5V, 0V, 0.5V, 1V, 1.5V, 2V are worth corresponding magnetic field value size, linear fit Z axis last of the twelve Earthly Branches nurse in each given voltage using the test of the first magnetoresistive chip 7 The hereby ratio relation of the given voltage of coil 4 and magnetic field suddenly;
For X-axis First-order Gradient coil 1 successively load to constant current -0.05A, -0.04A, -0.03A, 0A, 0.01A, 0.02A, 0.03A, 0.04A, 0.05A are big in the corresponding magnetic field value of each given current value using the test of the first magnetoresistive chip 7 It is small, the ratio relation to constant current and magnetic field of linear fit X-axis First-order Gradient coil 1;
For Y-axis First-order Gradient coil 3 successively load to constant current -0.05A, -0.04A, -0.03A, 0A, 0.01A, 0.02A, 0.03A, 0.04A, 0.05A are big in the corresponding magnetic field value of each given current value using the test of the first magnetoresistive chip 7 It is small, the ratio relation to constant current and magnetic field of linear fit Y-axis First-order Gradient coil 3;
For Z axis First-order Gradient coil 2 successively load to constant current -0.05A, -0.04A, -0.03A, 0A, 0.01A, 0.02A, 0.03A, 0.04A, 0.05A are big in the corresponding magnetic field value of each given current value using the test of the first magnetoresistive chip 7 It is small, the ratio relation to constant current and magnetic field of linear fit Z axis First-order Gradient coil 2;
For Z2 gradient coil 8 successively load to constant current -0.005A, -0.004A, -0.003A, 0A, 0.001A, 0.002A, 0.003A, 0.004A, 0.005A use the first magnetoresistive chip 7 test corresponding magnetic under each given current condition Field size, the ratio relation to constant current and magnetic field of linear fit Z2 gradient coil 8.
The electric current of first annular coil pair is the setting times in the electric current of the second loop coil centering in Z2 gradient coil 8 Number, set multiple as 3.3 times, is that 8 loading current I'(of Z2 gradient coil shows the second loop coil to constant current I') to adding Electric current I'(is carried to constant current I'), first annular coil 3.3 times of electric current I' given to the electric current I'(for loading 3.3 times).First The distance and outer diameter ratio of two loop coils of loop coil pair are 1.2, two loop coils of the second loop coil pair Distance and outer diameter ratio are 0.3.
Step 2, rotation speed of the setting without magnetic rotation turntable 15, X-axis First-order Gradient coil 1, Y-axis First-order Gradient coil 3, Z Axis First-order Gradient coil 2, X-axis Helmholtz coil 5, Y-axis Helmholtz coil 6, Z axis Helmholtz coil 4, Z2 gradient coil 8, the first magnetoresistive chip 7, the second magnetoresistive chip 9, third magnetoresistive chip 30, the 4th magnetoresistive chip 31 are with no magnetic rotation turntable 15 It rotates in the horizontal plane.
Step 3, initialized target magnetic field value B0Matrix, magnetic field of the goal value B0The matrix that matrix is one 1 × 12, target magnetic Field value B0Each element value is 10nT in matrix.
Step 4 is surveyed using the first magnetoresistive chip 7, the second magnetoresistive chip 9, third magnetoresistive chip 30, the 4th magnetoresistive chip 31 Obtain magnetic field value Bn(magnetic field value BnThe magnetic field value obtained for n-th measurement), obtain measurement magnetic field value BnMatrix measures magnetic field value Bn Matrix is 1 × 12 matrix, measures magnetic field value BnElement in matrix respectively corresponds the first magnetoresistive chip 7 from top to bottom and measures X axis, Y-axis, Z axis to magnetic field value, the second magnetoresistive chip 9 measure X axis, Y-axis, Z axis to magnetic field value, third magnetic resistance Chip 30 measure X axis, Y-axis, Z axis to magnetic field value, the 4th magnetoresistive chip 31 measures X axis, Y-axis, Z axis to magnetic field Value.
Step 5 judges magnetic field of the goal value B0Matrix subtracts measurement magnetic field value BnThe modulus value e of the matrix of differences of matrixnWhether In error range, if going to step 8 in error range;If not going to step 6 in error range.
Step 6, by magnetic field of the goal value B0Matrix subtracts magnetic field value BnThe matrix of differences e of matrixnIt is defeated to carry out PID arithmetic acquisition Matrix P outn, can be by matrix of differences enThe pid algorithm being input in computer 16, pid algorithm can be by calling in LabVIEW PID module realizes that pid algorithm realizes data processing,Wherein en= Bn-B0, en-1=Bn-1-B0(wherein Bn-1Obtained magnetic field value matrix is sampled for (n-1)th time), pass through the first magnetoresistive chip 7, second Magnetoresistive chip 9, third magnetoresistive chip 30, the 4th magnetoresistive chip 31 measure magnetic field value to adjust Proportional coefficient KP, integral coefficient KI、 Differential coefficient KD, scaling up COEFFICIENT KPIt can accelerate the response of system, but excessive KP, biggish overshoot can be generated, and generate Concussion, makes stability degenerate, and increases integral coefficient KIOvershoot is advantageously reduced, keeps system more stable, while can also be eliminated Static error increases differential coefficient KDThe response for being conducive to quickening system, increases stability, but system have to disturbance it is more sensitive Response;Finally obtain output matrix Pn, output matrix PnFor 1 × 12 matrix.
Step 7, by output matrix Pn, the given voltage of X-axis Helmholtz coil 5 and ratio relation, the Y-axis last of the twelve Earthly Branches nurse in magnetic field Hereby the ratio of the ratio relation in the given voltage of coil 6 and magnetic field, the given voltage of Z axis Helmholtz coil 4 and magnetic field closes suddenly System, X-axis First-order Gradient coil 1 to the ratio relation in constant current and magnetic field, Y-axis First-order Gradient coil 3 give constant current and magnetic Ratio relation, Z axis First-order Gradient coil 2 to the ratio relation in constant current and magnetic field, Z2 gradient coil 8 give constant current It is input in the linprog function in Matlab with the ratio relation in magnetic field, using based on linear programming (linear Programming, LP) L1 norm programming evaluation min ∑ Vi×wi+Ij×NjThis minimizes optimization problem, obtains optimization square Battle array compensates magnetic field by the voltage or current value in optimization coil, first three element optimized in matrix corresponds respectively to X Axis Helmholtz coil 5, Y-axis Helmholtz coil 6, the Optimized loading voltage in Z axis Helmholtz coil 4, optimize in matrix Rear four elements correspond respectively to X-axis First-order Gradient coil 1, Y-axis First-order Gradient coil 3, Z axis First-order Gradient coil 2, Z2 ladder The Optimized loading electric current in coil 8 is spent, step 4 is gone to.Wherein, { 1,2,3 } i ∈, j ∈ { 1,2,3,4 }, w1、w2、w3Table respectively Show the voltage weight of X-axis Helmholtz coil 5, Y-axis Helmholtz coil 6, Z axis Helmholtz coil 4, is taken in the present embodiment 1;V1、V2、V3Respectively indicate the load electricity of X-axis Helmholtz coil 5, Y-axis Helmholtz coil 6, Z axis Helmholtz coil 4 Pressure;N1、N2、N3、N4Respectively indicate X-axis First-order Gradient coil 1Y axis First-order Gradient coil 3, Z axis First-order Gradient coil 2, Z2 gradient The current weights of coil 8 take 1 in the present embodiment.I1、I2、I3、I4Respectively indicate X-axis First-order Gradient coil 1, one ladder of Y-axis Spend the loading current of coil 3, Z axis First-order Gradient coil 2, Z2 gradient coil 8.By calling in Matlab in experiment Linprog function, the constraint condition of linprog function are as follows: 1,10-3V≤|Vi|≤10V, 2,10-6A≤|Ij|≤2×10-2A, 3, magnetic field error △ B=| Bn-B0|≤10nT, 4, uniformity of magnetic field be less than or equal to 10-3
Step 8, whether halt system, if so, halt system, if it is not, then going to step 4.

Claims (1)

1. a kind of method of automatic field compensation, using the device of automatic field compensation, the device of automatic field compensation includes rotation Turntable (15) further includes the three-dimensional Helmholtz coil being arranged on turntable (15) and three-dimensional First-order Gradient coil, turntable (15) it is horizontally arranged with the lucite tube (32) of tubular on, is arranged with Z2 gradient coil (8) on lucite tube (32), it is organic It is fixed with supporting table (10) in glass tube (32) by support rod, four apex angles positioned at rectangular surfaces is provided in supporting table (10) The first magnetoresistive chip (7), the second magnetoresistive chip (9), third magnetoresistive chip (30) and the 4th magnetoresistive chip (31), rectangular surfaces with The angle of horizontal plane is 45 degree, and three-dimensional Helmholtz coil includes X-axis Helmholtz coil (5), Y-axis Helmholtz coil (6) With Z axis Helmholtz coil (4), three-dimensional First-order Gradient coil includes X-axis First-order Gradient coil (1), Y-axis First-order Gradient coil (3), Z axis First-order Gradient coil (2), central axis, lucite tube (32) central axis, Z axis last of the twelve Earthly Branches nurse of Z2 gradient coil (8) The hereby central axis coincidence of the central axis of coil (4), Z axis First-order Gradient coil (2) suddenly, Z2 gradient coil (8) central point, three Tie up Helmholtz coil central point, three-dimensional First-order Gradient hub of a spool point, lucite tube (32) central point, rectangular surfaces central point It is overlapped, which comprises the following steps:
Step 1 is distinguished successively for X-axis Helmholtz coil (5), Y-axis Helmholtz coil (6), Z axis Helmholtz coil (4) The each given voltage for loading setting, tests X-axis Helmholtz coil (5), Y-axis last of the twelve Earthly Branches nurse using the first magnetoresistive chip (7) respectively Hereby coil (6), Z axis Helmholtz coil (4) are fitted the X-axis last of the twelve Earthly Branches in the corresponding magnetic field value size of each given voltage value respectively suddenly Mu Huozi coil (5), Y-axis Helmholtz coil (6), the given voltage of Z axis Helmholtz coil (4) and the ratio in magnetic field close System;
For X-axis First-order Gradient coil (1), Y-axis First-order Gradient coil (3), Z axis First-order Gradient coil (2), successively load is set respectively Fixed is each to constant current, tests X-axis First-order Gradient coil (1), Y-axis First-order Gradient line respectively using the first magnetoresistive chip (7) (3), Z axis First-order Gradient coil (2) are enclosed in the corresponding magnetic field value size of each given current value, respectively linear fit X-axis single order Gradient coil (1), Y-axis First-order Gradient coil (3), Z axis First-order Gradient coil (2) the ratio relation to constant current and magnetic field;
It successively loads for Z2 gradient coil (8) to constant current, is tested using the first magnetoresistive chip (7) in each given current condition Under corresponding magnetic field value size, the ratio relation to constant current and magnetic field of linear fit Z2 gradient coil (8);
Step 2, the rotation speed for setting turntable (15), X-axis First-order Gradient coil (1), Y-axis First-order Gradient coil (3), Z axis First-order Gradient coil (2), X-axis Helmholtz coil (5), Y-axis Helmholtz coil (6), Z axis Helmholtz coil (4), Z2 ladder Spend coil (8), the first magnetoresistive chip (7), the second magnetoresistive chip (9), third magnetoresistive chip (30), the 4th magnetoresistive chip (31) As turntable (15) rotates in the horizontal plane;
Step 3, initialized target magnetic field value B0Matrix, magnetic field of the goal value B0The matrix that matrix is one 1 × 12;
Step 4 uses the first magnetoresistive chip (7), the second magnetoresistive chip (9), third magnetoresistive chip (30), the 4th magnetoresistive chip (31) magnetic field value B is measuredn, the number of n representative measurement, acquisition measurement magnetic field value BnMatrix measures magnetic field value BnMatrix is one 1 × 12 matrixes measure magnetic field value BnElement in matrix respectively corresponds the first magnetoresistive chip (7) from top to bottom and measures X axis, Y-axis To, Z axis to magnetic field value, the second magnetoresistive chip (9) measure X axis, Y-axis, Z axis to magnetic field value, third magnetoresistive chip (30) measure X axis, Y-axis, Z axis to magnetic field value and the 4th magnetoresistive chip (31) measure X axis, Y-axis, Z axis to magnetic Field value;
Step 5 judges magnetic field of the goal value B0Matrix subtracts measurement magnetic field value BnMatrix of differences e after matrixnModulus value whether accidentally In poor range, if going to step 8 in error range;If not going to step 6 in error range;
Step 6, by matrix of differences enIt carries out PID arithmetic and obtains output matrix Pn, output matrix PnFor 1 × 12 matrix;
Step 7, by output matrix Pn, the given voltage of X-axis Helmholtz coil (5) and ratio relation, the Y-axis Hai Muhuo in magnetic field Hereby the ratio relation in the given voltage of coil (6) and magnetic field, the given voltage of Z axis Helmholtz coil (4) and magnetic field ratio Relationship, X-axis First-order Gradient coil (1) to the ratio relation in constant current and magnetic field, the given electricity of Y-axis First-order Gradient coil (3) Stream and the ratio relation in magnetic field, ratio relation, the Z2 gradient coil (8) to constant current and magnetic field of Z axis First-order Gradient coil (2) The ratio relation to constant current and magnetic field, be input in the linprog function in Matlab, use the L1 based on linear programming Norm programming evaluation min ∑ Vi×wi+Ij×NjOptimization problem is minimized, optimization matrix is obtained, optimizes first three member in matrix Element corresponds respectively to X-axis Helmholtz coil (5), Y-axis Helmholtz coil (6), the optimization in Z axis Helmholtz coil (4) On-load voltage, rear four elements optimized in matrix correspond respectively to X-axis First-order Gradient coil (1), Y-axis First-order Gradient coil (3), Z axis First-order Gradient coil (2), the Optimized loading electric current in Z2 gradient coil (8), go to step 4, wherein i ∈ 1,2, 3 }, { 1,2,3,4 } j ∈, w1、w2、w3Respectively indicate X-axis Helmholtz coil (5), Y-axis Helmholtz coil (6), Z axis last of the twelve Earthly Branches nurse The hereby voltage weight of coil (4) suddenly;V1、V2、V3Respectively indicate X-axis Helmholtz coil (5), Y-axis Helmholtz coil (6), Z The on-load voltage of axis Helmholtz coil (4);N1、N2、N3、N4Respectively indicate X-axis First-order Gradient coil (1), Y-axis First-order Gradient The current weights of coil (3), Z axis First-order Gradient coil (2), Z2 gradient coil (8), I1、I2、I3、I4Respectively indicate X-axis single order Gradient coil (1), Y-axis First-order Gradient coil (3), Z axis First-order Gradient coil (2), Z2 gradient coil (8) loading current, The constraint condition of linprog function are as follows: 10-3V≤|Vi|≤10V;10-6A≤|Ij|≤2×10-2A;Magnetic field error △ B=| Bn- B0|≤10nT;Uniformity of magnetic field is less than or equal to 10-3
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