CN101697659A - Isochronous magnetic field precise shimming method adopting continuous curved surface for cyclotron - Google Patents

Isochronous magnetic field precise shimming method adopting continuous curved surface for cyclotron Download PDF

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Publication number
CN101697659A
CN101697659A CN200910211157A CN200910211157A CN101697659A CN 101697659 A CN101697659 A CN 101697659A CN 200910211157 A CN200910211157 A CN 200910211157A CN 200910211157 A CN200910211157 A CN 200910211157A CN 101697659 A CN101697659 A CN 101697659A
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China
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magnetic field
cyclotron
panel
isochronous
radial location
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CN200910211157A
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张天爵
樊明武
储诚节
钟俊晴
吕银龙
殷治国
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China Institute of Atomic of Energy
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China Institute of Atomic of Energy
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Abstract

The invention discloses a precise padding method for an isochronous magnetic field of a cyclotron, which mainly obtains a relational expression of cutting amount and magnetic field change of inlaid strips at two sides of a magnetic pole of the cyclotron on any radius through finite element simulation, calculates the cutting amount required by each radius position of the inlaid strips by combining the actually measured difference between a central plane magnetic field of the cyclotron and the isochronous magnetic field required by particle motion and the size of axial focusing force, obtains a series of continuous processing curved surfaces by interpolating each discrete cutting amount through three splines, and finally processes the inlaid strips by using a numerical control machine tool. The continuous curved surface shimming method provided by the invention is simple and efficient, and has high shimming precision of the isochronous magnetic field compared with the similar technology.

Description

Cyclotron adopts the isochronous magnetic field precise shimming method of continuous curve surface
Technical field
The present invention relates to the magnet designing technique of cyclotron, be specifically related to the isochronous magnetic field precise shimming method that a kind of cyclotron adopts continuous curve surface.
Background technology
Cyclotron is that a kind of magnetic field that utilizes makes charged particle do circumnutation, the device that quickens repeatedly through high-frequency electric field at the volley, and its basic structure comprises magnet system, ion source, injected system and extraction system.Wherein, magnet system comprises magnet and regulating winding, makes cyclotron can obtain isochronous magnetic field.
Having a snack of magnetic field is the important means that makes that cyclotron central plane magnetic field meets design requirement, particularly for cyclotron, having a snack of magnetic field is unavoidable, because the inhomogeneities of ferromagnetic material, factors such as magnet processing and installation will cause the Distribution of Magnetic Field of the magnetic field off-design of central plane.For the cyclotron that uses the fan-shaped magnetic pole of straight flange, it is that main isochronous magnetic field is had a snack one of mode that panel is had a snack.Panel generally is to join iron by what make with main magnet pole material identical materials, usually be arranged at the both sides of main magnet magnetic pole removably, the panel shimming method mainly is to utilize panel to be easy to machining characteristics than main magnet magnetic pole, has a snack the acquisition isochronous magnetic field by the overall dimension that changes panel.The popular in the world magnetic field mode of having a snack mainly contains syntonizing coil shimming and paster shimming at present, and wherein the paster shimming is exactly the method that a kind of panel is had a snack.The enough spaces of syntonizing coil shimming needs are laid and are had a snack coil, and for cyclotron, this just means cost and the operating cost that has improved accelerator; Paster is had a snack the process that rule needs the magnetic-field measurement of repeated multiple times and pastes iron plate, and this method isochronous magnetic field that can't obtain, and this just means the construction period that has increased cyclotron and has sacrificed certain quality of beam that is accelerated line.Therefore, the needs design is a kind of neither to be subjected to the restriction in cyclotron space to have short having a snack the cycle again, and can obtain the shimming method of good isochronous magnetic field.
Summary of the invention
The objective of the invention is to defective, a kind of isochronous magnetic field precise shimming method that adopts continuous curve surface is provided, thereby makes cyclotron obtain isochronous magnetic field simply, efficiently at existing cyclotron magnetic field shimming method.
Technical scheme of the present invention is as follows: a kind of cyclotron adopts the isochronous magnetic field precise shimming method of continuous curve surface, comprises the steps:
(1) panel that obtains cyclotron magnetic pole both sides by finite element modelling on radial location arbitrarily cutting output and the relational expression of changes of magnetic field;
(2) difference of the required isochronous magnetic field of cyclotron central plane magnetic field by actual measurement and particle movement and the size of axial focusing force are determined the needed cutting output of each radial location of panel;
(3) cutting output that each is discrete obtains a series of continuous processing curves by the mode of three spline interpolations;
(4) panel is processed by Digit Control Machine Tool according to the curved-surface structure that obtains.
Further, aforesaid cyclotron adopts the isochronous magnetic field precise shimming method of continuous curve surface, and the described relational expression of step (1) is Δ d=B (R i)/Δ B (R i), wherein Δ d is the cutting output of each radial location of panel, B (R i) be poor between the measurement data in magnetic field and the isochronous magnetic field, Δ B (R i) be the changes of magnetic field on each radial location of panel, Δ B (R i)=AR i+ C, R iBe the radius length of panel optional position, A, C constant for drawing by the finite element simulation calculation match.
Further, aforesaid cyclotron adopts the isochronous magnetic field precise shimming method of continuous curve surface, and when carrying out finite element modelling in step (1), the cutting on each radial location of panel is measured along 1 ° of the fan-shaped radius change or the 1cm degree of depth.
Beneficial effect of the present invention is as follows: the present invention has overcome the defective of traditional panel paster shimming method, panel by obtaining cyclotron magnetic pole both sides on radius arbitrarily cutting output and the relational expression of changes of magnetic field, determine the needed cutting output of each radial location of panel; Then that each is discrete cutting output forms the processing curve that series is continuous, by the moulding of lathe time processing.This method is simple, efficient, does not need the magnetic-field measurement and the paster of repeated multiple times, and the isochronous magnetic field of being realized to have a snack precision higher.
Description of drawings
Fig. 1 is a method flow diagram of the present invention;
Fig. 2 is the cutting output schematic diagram on panel unit's radius of straight flange sector magnet;
Fig. 3 is the cutting output enlarged diagram on panel unit's radius among Fig. 2.
Embodiment
Below in conjunction with drawings and Examples the present invention is described in detail.
Cyclotron provided by the present invention adopts the isochronous magnetic field precise shimming method of continuous curve surface to rely on existing large-scale accurate Finite Element Simulation Software to realize, as three-dimensional finite element software kit DE3D, concrete steps comprise as shown in Figure 1,
(1) obtains the cutting output of panel on the arbitrary unit radial location and the relational expression of changes of magnetic field of cyclotron magnetic pole both sides by finite element modelling;
(2) difference of the required isochronous magnetic field of cyclotron central plane magnetic field by actual measurement and particle movement and the size of axial focusing force are determined the needed cutting output of each radial location of panel;
(3) cutting output that each is discrete obtains a series of continuous processing curves by the mode of three spline interpolations;
(4) panel is processed by Digit Control Machine Tool according to the curved-surface structure that obtains.
In specific embodiment, when carrying out analog computation by three dimensional FEM simulation software kit DE3D in the step (1), as Fig. 2, shown in Figure 3, radius length R arbitrarily on the cyclotron magnetic pole 1 both sides panel 2 iChoosing of the cutting output of position can be adopted following two kinds of forms, and a kind of form is to change 1 ° to the inside along fan-shaped radius, and promptly the θ angle among the figure is 1 °, according to radius change 1 ° of later endpoint location determine the degree of depth of cutting; Another kind of form is directly at radius length R iThe position cutting 1cm degree of depth, promptly the Δ d among the figure equals 1cm.Changing the changes of magnetic field of being brought thus is Δ B (R i).Can obtain one according to the changing value on a series of radiuses is the first-order equation of independent variable with the radius: Δ B (R i)=AR i+ C, wherein, R iBe the radius length of panel optional position, A, C constant for drawing by the finite element simulation calculation match; According to the difference B (R between magnetic-field measurement data and the isochronous magnetic field i), just can obtain the cutting output Δ d=B (R of each radius of panel in conjunction with above-mentioned first-order equation i)/Δ B (R i), Here it is panel on radial location arbitrarily cutting output and the relational expression of changes of magnetic field.
By above-mentioned relation formula Δ d=B (R i)/Δ B (R i), just can be in step (2) in conjunction with the difference of the required isochronous magnetic field of the cyclotron central plane magnetic field of actual measurement and particle movement and the size of axial focusing force, determine the needed cutting output Δ of each radial location of panel d, the value span of each radial location of panel described herein can be chosen by actual conditions between millimeter and centimetre magnitude.Because isochronous magnetic field is the basis of considering axial focusing force, usually the panel angular breadth reduces to help improving the axial focusing force on this radial location, but also needs to carry out according to concrete beam dynamics result of calculation in conjunction with isochronous magnetic field the optimization of the panel amount of having a snack in actual the having a snack.
Because the accelerator centre flat magnetic field that measures usually and the difference of required isochronous magnetic field are a series of and the corresponding centrifugal pump of racetrack radius, therefore the panel cutting output also is and the corresponding discrete magnitude of radius, but Digit Control Machine Tool processing feed needs continuous curve surface, therefore the cutting output that needs to disperse is transformed into continuous quantity by the numerical interpolation method, three Spline Interpolation Method that adopted among the present invention are exactly a kind of of numerical interpolation method, for the known technology of this area, no longer too much describe herein.In step (3), the cutting output of panel is obtained the curved surface of cutting output with the panel radius change with the method for three spline interpolations, in step (4), the value input Digit Control Machine Tool of continuous curve surface is processed then, just can obtain the panel structure of an accurate continuous curve surface, the panel of this structure is installed in the both sides of cyclotron magnetic pole, has realized that just accurate magnetic field has a snack.
Obviously, those skilled in the art can carry out various changes and modification to the present invention and not break away from the spirit and scope of the present invention.Like this, if of the present invention these are revised and modification belongs within the scope of claim of the present invention and equivalent technology thereof, then the present invention also is intended to comprise these changes and modification interior.

Claims (3)

1. the isochronous magnetic field precise shimming method of a cyclotron employing continuous curve surface comprises the steps:
(1) panel that obtains cyclotron magnetic pole both sides by finite element modelling on radial location arbitrarily cutting output and the relational expression of changes of magnetic field;
(2) difference of the required isochronous magnetic field of cyclotron central plane magnetic field by actual measurement and particle movement and the size of axial focusing force are determined the needed cutting output of each radial location of panel;
(3) cutting output that each is discrete obtains a series of continuous processing curves by the mode of three spline interpolations;
(4) panel is processed by Digit Control Machine Tool according to the curved-surface structure that obtains.
2. cyclotron as claimed in claim 1 adopts the isochronous magnetic field precise shimming method of continuous curve surface, and it is characterized in that: the described relational expression of step (1) is Δ d=B (R i)/Δ B (R i), wherein Δ d is the cutting output of each radial location of panel, B (R i) be poor between the measurement data in magnetic field and the isochronous magnetic field, Δ B (R i) be the changes of magnetic field on each radial location of panel, Δ B (R i)=AR i+ C, R iBe the radius length of panel optional position, A, C constant for drawing by the finite element simulation calculation match.
3. cyclotron as claimed in claim 2 adopts the isochronous magnetic field precise shimming method of continuous curve surface, it is characterized in that: when carrying out finite element modelling in step (1), the cutting on each radial location of panel is measured along 1 ° of the fan-shaped radius change or the 1cm degree of depth.
CN200910211157A 2009-11-06 2009-11-06 Isochronous magnetic field precise shimming method adopting continuous curved surface for cyclotron Pending CN101697659A (en)

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Cited By (9)

* Cited by examiner, † Cited by third party
Publication number Priority date Publication date Assignee Title
CN103064039A (en) * 2013-01-04 2013-04-24 中国原子能科学研究院 High-precision method of magnetic field measurement for compact intermediate energy cyclothron
CN103675720A (en) * 2013-12-18 2014-03-26 中国原子能科学研究院 Circular accelerator magnetic field measuring device
CN102595762B (en) * 2012-03-21 2015-08-12 中国科学院高能物理研究所 Multipole magnet and harmonic wave shimming method thereof
CN106102300A (en) * 2016-07-29 2016-11-09 中国原子能科学研究院 Strengthen the core column structure of superconducting cyclotron center magnetic focusing power
CN106804091A (en) * 2017-03-21 2017-06-06 华中科技大学 A kind of cyclotron isochronous magnetic field shimming method and system
CN107466152A (en) * 2017-07-25 2017-12-12 中国科学院高能物理研究所 Multipole magnet and its magnetic field harmonics shimming method
CN109548264A (en) * 2018-10-31 2019-03-29 中国原子能科学研究院 A kind of superconducting cyclotron isochronous magnetic field shimming method
CN110740561A (en) * 2018-07-21 2020-01-31 中国原子能科学研究院 Edge field shimming method for leading out magnetic channel element in superconducting cyclotron
CN114430606A (en) * 2022-01-21 2022-05-03 中国原子能科学研究院 Spiral central area structure for improving focusing force of central area of cyclotron

Cited By (14)

* Cited by examiner, † Cited by third party
Publication number Priority date Publication date Assignee Title
CN102595762B (en) * 2012-03-21 2015-08-12 中国科学院高能物理研究所 Multipole magnet and harmonic wave shimming method thereof
CN103064039A (en) * 2013-01-04 2013-04-24 中国原子能科学研究院 High-precision method of magnetic field measurement for compact intermediate energy cyclothron
CN103675720A (en) * 2013-12-18 2014-03-26 中国原子能科学研究院 Circular accelerator magnetic field measuring device
CN103675720B (en) * 2013-12-18 2017-03-29 中国原子能科学研究院 A kind of device for measuring magnetic field of cyclotron
CN106102300B (en) * 2016-07-29 2019-01-29 中国原子能科学研究院 Enhance the core column structure of superconducting cyclotron center magnetic focusing power
CN106102300A (en) * 2016-07-29 2016-11-09 中国原子能科学研究院 Strengthen the core column structure of superconducting cyclotron center magnetic focusing power
CN106804091A (en) * 2017-03-21 2017-06-06 华中科技大学 A kind of cyclotron isochronous magnetic field shimming method and system
CN106804091B (en) * 2017-03-21 2018-04-10 华中科技大学 A kind of cyclotron isochronous magnetic field shimming method and system
CN107466152A (en) * 2017-07-25 2017-12-12 中国科学院高能物理研究所 Multipole magnet and its magnetic field harmonics shimming method
CN107466152B (en) * 2017-07-25 2019-09-20 中国科学院高能物理研究所 Multipole magnet and its magnetic field harmonics shimming method
CN110740561A (en) * 2018-07-21 2020-01-31 中国原子能科学研究院 Edge field shimming method for leading out magnetic channel element in superconducting cyclotron
CN109548264A (en) * 2018-10-31 2019-03-29 中国原子能科学研究院 A kind of superconducting cyclotron isochronous magnetic field shimming method
CN114430606A (en) * 2022-01-21 2022-05-03 中国原子能科学研究院 Spiral central area structure for improving focusing force of central area of cyclotron
CN114430606B (en) * 2022-01-21 2022-10-28 中国原子能科学研究院 Spiral central area structure for improving focusing force of central area of cyclotron

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Open date: 20100421