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investigation of influence of separator magnetic system configuration with permanent magnets on magnetic field distribution in working area.

by:Maghard      2020-03-02
Introduction.
In recent yearscoercive rare-
Permanent of Earth (PM)
Based on NdFeB (neodymium-iron-boron)
Widely used in mechanical and electrical equipment (
Feeder, feeder).
Their residual magnetic flux density is high and their cost is relatively lowB. sub. r](up to [B. sub. r]= 1. 44 T);
Temperature stability at temperatures up to 150 [degrees]C;
Small energy volume per unit;
Influence of anti-retreat magnetic field 【1, 2].
The various shapes, structural layouts and directions of PM magnetism allow the creation of new magnetic systems for mechanical and electrical equipment with the necessary topology of the working gap magnetic field.
Mechanical and electrical equipment with PM function can not only successfully compete with other mechanical and electrical equipment, but also have extended function.
Analysis of literary data and definition of problems.
Magnetic field distribution analysis is an important stage in the design of PM-based separation devices.
The nature of the magnetic field distribution in the working gap of these devices basically depends on the configuration of the magnetic system, which should be optimized for the quality of PM. In high-
Performance magnetic separator as shown in [3, 4]
Cylindrical or ring magnets are mainly used. In [3]
, A mathematical model of the scalar magnetic potential distribution generated by cylindrical or circular PM in the surrounding space is proposed.
The model is based on the PM representation in the form of an equivalent solenoid and contains an explicit form of PM parameters that can be used to analyze the field of the in a uniform medium. In [5]
Experimental study on induction distribution of magnetic field in simplest case-
A single and a pair of magnetic elements in each module of the magnetic separator were tested.
The possibility and practical convenience of using the superposition principle to establish the final induction properties of the magnetic field between relative magnetic elements indicate that the calculation simulation is used instead of the actual simulation.
[The experimental results of magnetic distribution in working area of cylinder separator cylindrical magnetic system are introduced]6]
The main operating parameters of the high impact on performance
A gradient separator with PM was studied in [7]
, Most of the content of the publication is devoted to the use of computer simulations to study the magnetic field generated by PM in the working gap of the magnetic separator. In [8]
The calculation and introduction results of the drum separator on PM are introduced.
In order to solve the problem of selecting the best parameters of the magnetic system, the finite element modeling software package of the partial differential equation FEMLAB is used.
In this case, the plane
Taking into account the length of the separator, parallel analogy is considered, which fully reflects the real spatial image of the field distribution.
A new magnetic separator design with transverse magnetized disk permanent is proposed in [9]
Calculation of magnetic field using finite element method.
The results show that the maximum value of the force factor (about T2/m)
Achieved in areas with the highest magnetic density.
Analysis as a publication [3-9]
It has been shown that the calculation of the gap magnetic field between the working poles of the magnetic separator is a rather complicated task. For most magnetic system configurations, it has not been resolved until now, and the experimental method is quite laborious.
When developing a new design of the magnetic separator to obtain information about the magnetic field induction distribution of the working gap, it is advantageous to use the appropriate computer program for numerical calculation.
The purpose of this work is to study the impact of the configuration of the magnetic system (
Shape and size of PM)
The space distribution of magnetic flux density in the working area of magnetic separator is designed.
Survey materials and results.
The influence of the structure of the magnetic system on the magnetic field topology is studied, and a new design of the disk separator is carried out [10, 11]
Proposed by the author of the paper.
The design purpose of the disc separator is to extract the ferromagnetic inclusions from the granular media delivered by the belt conveyor.
In operating mode, the equipment is installed above the surface of the bulk material.
The magnetic system of the separator includes ring magnets, which are arranged along the Archimedes spiral, with equal distance between each other, alternating polarity in the direction of radial and spiral expansion.
In this case, the adjacent coils that form the spiral with its spacing also maintain the same distance.
Through this configuration of the magnetic system
Cleaning the working surface of the disk from the extracted ferromagnetic inclusions greatly simplifies the process of unloading them without stopping the separation process. Fig.
1 shows the fragmentation of the spiral disk separator system containing four ring magnets, indicating the main design parameters :[delta]--air gap; a--
Horizontal Dimensions (width)of the ; b--
The distance between adjacent coils of the spiral; i--
Thickness of (
Assume the same, equal to B--
It is a vector of magnetic flux density.
Equation of State for permanent magnets: B = [[mu]. sub. 0][[mu]. sub. r]H + [B. sub. r]. (2)where [[mu]. sub. r], [B. sub. r]
The relative values of the magnetic flux and the remaining magnetic flux density of PM are respectively; [[mu]. sub. 0]= 4[pi]x [10. sup. -7]
H/m is a magnetic constant.
Equation of State for ferromagnetic materials and surrounding media (air): B = [[mu]. sub. 0][[mu]. sub. r]H, (3)where [[mu]. sub. r]
Is the relative value of the magnetic flux of iron and air ([[mu]. sub. r]= 1), respectively.
In the first stage, the influence of the shape of the PM cross-section on the induction distribution of the magnetic field in the air gap was studied.
The task is to determine the shape of the PM cross-section under which the mass of the magnetic system is minimal and the induction generated in the gap is maximum.
Four shapes of the cross section of the rod are considered (
The width of a is assumed to be spherical (Fig. 2,d).
The solution to the problem defined for studying the influence of the shape of the PM cross-section is through the numerical finite element method in two-
Size making using the Elcut package.
The following features of high-
Forced magnetic
NdFeB type hard material is set: relative magnetic flux [[mu]. sub. r]= 1. 06;
Residual magnetic flux density of magnets [B. sub. r]= 1. 2 T (
Vertical component oriented along the y axis, see figure2)
Enforcement [H. sub. c][
Greater than or equal to]995 kA/m.
As the boundary condition for calculating the outer boundary of the domain, the magnetic isolation condition is used. In Fig.
3. As an example, a geometric model is shown (Fig. 3. a)
The finite element mesh is applied and the results are simulated in the form of field mode (Fig. 3,b)
For the PM of the rectangular crossSegment shape.
Determination of Bf of magnetic flux density module (model 2 (Fig. 5, b): [delta]= 50 mm, [B. sub. max]= 0. 31 T (for model 1)and [B. sub. max]= 0. 55 T (for model 2)--
In the middle of the magnetic rod.
The biggest difference]DELTA]
B. Maximum 【B. sub. max]
The lowest [B. sub. min]
The magnetic flux density value was also observed at Z = 0mm at the boundary PM--
The gap is: 0.
Models 1 and 0 are 34 t.
Model 2 is 47 t.
Therefore, the influence of the configuration of the magnetic system using computer modeling (cross-
Section shape and PM size)
The spatial distribution of magnetic flux density on PM in the working area of magnetic separator was studied. Conclusions.
Investigation of the influence of cross-shape-
The part of PM about the magnetic flux density distribution in the air gap of the device makes it possible to establish the following rules :--
At a small distance from the surface of the PM (0 [
Less than or equal to]Y [
Less than or equal to]15 mm)
, The maximum magnetic flux density is provided by PM with spherical and ladder crossing
Compared with the PM of the rectangular section, the calculated mass of the PM is much lower than the section shape; --
At a relatively large distance from the surface of the PM poles (7 [
Greater than or equal to]20 mm)
, Where the separation process occurs, the magnetic field strength generated by magnets with spherical and ladder sections is significantly lower than that of magnets with rectangular and rectangular crossesSegment shape.
In this case, a with a rectangular and rectangular cross
Section shape with cross section
The segmented shape produces approximately equal intensity fields with a mass difference of no more than 5%.
The spatial distribution analysis of the magnetic flux density in the working area of the newly designed magnetic separator shows that the strong magnetic field ([B. sub. max]= 0. 76. . . 0. 8 T)
A high gradient magnetic flux density is formed in the interpolar working volume.
The highest degree of field non-uniformity occurs at the Media Interface>.
The results obtained can be used to select the reasonable design parameters of the magnetic system and determine the power properties of the separator. UDC 621. 318 doi: 10. 20998/2074-272X. 2017. 2.
02 reference materials [1. ]Furlani E.
Permanent and mechanical and electrical equipment: materials, analysis and application.
New York Academic Press, 2001518. doi:10. 1016/B978-012269951-1/50005-X. [2. ]Strnat K. J.
Modem permanent for electronic applicationsTechnology.
IEEE minutes, volume 1990. 78, no. 6, pp. 923, doi: 10. 1109/5. 56908. [3. ]Bulyzhev E. M. , Menshov E. N. , Dzhavahija G. A.
Modeling of field permanent .
Minutes of the meeting of the Samara Science Center of the Russian Academy of Sciences, Volume 201113, no. 4, pp. 106-110. (Rus). [4. ]Bulyzhev E. M. , Menshov E. N.
Mathematical modeling of permanent magnetic field.
Electricity, 2010. 9. pp. 65-69. (Rus). [5. ]Sandulyak A. A. , Ershov D. V. , Oreshkin D. V. , Sandulyak A. N.
Magnetic field induction properties inside the magnetic separator module.
Vestnik AIGSU, 20135, pp. 103-111. (Rus). [6. ]Kilin V. I. Kilin S. V.
By selecting the polar spacing of the magnetic separator system for drying treatment.
Obogashchenie Rud, 20086, pp. 14-18. (Rus). \' [7. ]S. Zeng, W. Zeng, L. Ren, D. An, H. Li.
Development of High gradient permanent magnetic separator (HGPMS).
Mineral Engineering, February. 2015, vol. 71, pp. 21-26. doi: 10. 1016/j. mineng. 2014. 10. 009. [8. ]Lozin A. A. , Arsenjuk V. M. Piraeus KiyaB.
Information and analysis techniques for the calculation and modeling of static magnetic systems in separator structures based on permanent magnets.
Gornyi Zhunial, 20045. (Rus).
Available in :[9. ]S. Nedelcu, J. H. P. Watson.
Magnetic Separator with transverse magnetized disk permanent .
Mineral Engineering, Volume 1, May 2002. 15, no. 5, pp. 355-359. doi: 10. 1016/s0892-6875(02)00043-2. [10. ]Shvedchikova I. A. , Zemziulin M. A.
Study on the magnetic field distribution in disk separator with spiraltype system.
Electrical and energy-saving system 2013. 2(22), part 2, pp. 18-24. (Rus). [11. ]Shvedchikova I. O. J. Roman piano. A.
Magny separator [
Disk magnetic separator. Patent UA, no. 110206, 2016. (Ukr). Received 21. 01.
2017 Juraj Gerlici (1)Professor, doctor. Ing. , I. A. Shvedchikova (2)
Doctor of Technical Science, Professor, I. V. Nikitchenko (2)
Graduate student, J. A. Romanchenko (2)
Graduate students ,(1)
University of Zilina, Slovak ina, Slovak Republic, SK 01026 Slovak ina, Slovak Republic, Tel 421 (41)513 2550, e-mail: juraj. gerlici@fstroj. uniza. sk (2)
National University of Eastern Ukraine, 59-a, pr.
Central Severodonetsk, 93400, Ukraine, Tel 380 99 0448571, e-mail: ishved@i. ua, inna. mia. lg@gmail.
Title: figure1.
The fragment title of the separator magnetic system representing the main size: Fig. 2.
The shape of the cross being investigated
Pole section: a--rectangular; b--
Rectangle at an angle of inclination; c--trapezoidal; d--
Spherical description: Figure3.
PM modeling of rectangular crossover
Section shape: a--
Geometric model; b--
Description of modeling results: Figure4.
Comparison of module ratio of magnetic flux density [B. sub. i]/[B. sub. 1]
PM for different crossover
Section shape: 1--rectangular; 2--
Rectangle at an angle of inclination; 3--trapezoidal; 4--
Spherical description: Figure5.
Magnetic system with characteristic point indication: a--model 1 ; b--
Model 2 description: Figure6.
3D modeling of magnetic system: a--
Geometric model; b--
Description of modeling results: Figure7.
Description: performed along the line measuring the magnetic flux density module B8.
Magnetic flux density distribution on the interface between media>: a--
In the radial direction (along line a -a\'); b--
In the direction of the spiral (along line b -b\')
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