CN107191484A - A kind of design method of the three freedom degree mixed magnetic bearing of radial direction sextupole - Google Patents

A kind of design method of the three freedom degree mixed magnetic bearing of radial direction sextupole Download PDF

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CN107191484A
CN107191484A CN201710284397.5A CN201710284397A CN107191484A CN 107191484 A CN107191484 A CN 107191484A CN 201710284397 A CN201710284397 A CN 201710284397A CN 107191484 A CN107191484 A CN 107191484A
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axial
magnetic
radial
radial direction
induction density
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CN107191484B (en
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朱熀秋
鞠金涛
吴熙
赵琛胤
华逸舟
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Dongtai Chengdong science and Technology Pioneer Park Management Co.,Ltd.
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Jiangsu University
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    • F—MECHANICAL ENGINEERING; LIGHTING; HEATING; WEAPONS; BLASTING
    • F16—ENGINEERING ELEMENTS AND UNITS; GENERAL MEASURES FOR PRODUCING AND MAINTAINING EFFECTIVE FUNCTIONING OF MACHINES OR INSTALLATIONS; THERMAL INSULATION IN GENERAL
    • F16C—SHAFTS; FLEXIBLE SHAFTS; ELEMENTS OR CRANKSHAFT MECHANISMS; ROTARY BODIES OTHER THAN GEARING ELEMENTS; BEARINGS
    • F16C32/00—Bearings not otherwise provided for
    • F16C32/04—Bearings not otherwise provided for using magnetic or electric supporting means
    • F16C32/0406—Magnetic bearings
    • F16C32/044—Active magnetic bearings
    • F16C32/0474—Active magnetic bearings for rotary movement
    • F16C32/0485—Active magnetic bearings for rotary movement with active support of three degrees of freedom
    • F—MECHANICAL ENGINEERING; LIGHTING; HEATING; WEAPONS; BLASTING
    • F16—ENGINEERING ELEMENTS AND UNITS; GENERAL MEASURES FOR PRODUCING AND MAINTAINING EFFECTIVE FUNCTIONING OF MACHINES OR INSTALLATIONS; THERMAL INSULATION IN GENERAL
    • F16C—SHAFTS; FLEXIBLE SHAFTS; ELEMENTS OR CRANKSHAFT MECHANISMS; ROTARY BODIES OTHER THAN GEARING ELEMENTS; BEARINGS
    • F16C32/00—Bearings not otherwise provided for
    • F16C32/04—Bearings not otherwise provided for using magnetic or electric supporting means
    • F16C32/0406—Magnetic bearings
    • F16C32/044—Active magnetic bearings
    • F16C32/0459—Details of the magnetic circuit

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  • Engineering & Computer Science (AREA)
  • General Engineering & Computer Science (AREA)
  • Mechanical Engineering (AREA)
  • Magnetic Bearings And Hydrostatic Bearings (AREA)

Abstract

The present invention discloses a kind of design method of the three freedom degree mixed magnetic bearing of radial direction sextupole, and axial bearing capacity F is determined in practical application according to magnetic bearingZmaxWith radial direction bearing capacity Frmax, it is characterized in that：Judge axial bearing capacity FZmaxWith radial direction bearing capacity FrmaxSize；If FZmax>2Frmax, first determine axial saturation induction density BZSWith axialy offset magnetic induction density BZ0, further according to 0.4<Br0<Radial offset magnetic induction density B is determined in 0.8 requirementr0Value；If FZmax<2Frmax, first determine radial direction saturation induction density BrSWith radial offset magnetic induction density Br0, further according to 0.4<BZ0<Axialy offset magnetic induction density B is determined in 0.8 requirementZ0Value；Finally calculate magnet radial poles area Sr, axial pole area SZWith axial saturation induction density BZS；The independent radial and axial bearing capacity of selection of the invention, according to the basic parameter for not having influential radial and axial bearing capacity to obtain magnetic bearing each other, reduces the volume and coil turn of magnetic bearing.

Description

A kind of design method of the three freedom degree mixed magnetic bearing of radial direction sextupole
Technical field
The present invention relates to the design method of hybrid magnetic suspension bearing, the Three Degree Of Freedom mixing magnetic of particularly a kind of radial direction sextupole The design method of bearing, for the Three Degree Of Freedom magnetic bearing to radial and axial shared biasing flux structure.
Background technology
As depicted in figs. 1 and 2, the Three Degree Of Freedom of radial direction sextupole is mixed the structure of the three freedom degree mixed magnetic bearing of radial direction sextupole Magnetic bearing is closed to be made up of rotor 1, axial stator 2, radial stator 3, radial direction control coil 4, axial control coil 5 and permanent magnet 6, Most middle is rotor 1, and the coaxial sleeve of radial stator 3 is outside rotor 1, and axial stator 2 is located at the axial two ends of rotor 1 and axial Stator 2 inner containment radial stator 3.Radial stator 3 has six magnet radial poles, is A1 phases magnetic pole 31, A2 phase magnetic poles respectively 32nd, radial direction control line is wound in B1 phases magnetic pole 33, B2 phases magnetic pole 34, C1 phases magnetic pole 35, C2 phases magnetic pole 36, each magnet radial poles Circle, wound respectively on A1, A2, B1, B2, C1, C2 phase magnetic pole 31,32,33,34,35,36 corresponding A1, A2, B1, B2, C1, C2 phase radial directions control coil 41,42,43,44,45,46.A1, A2, B1, B2, C1, C2 phase magnetic pole 31,32,33,34,35,36 with Corresponding A1 phases air gap 81, A2 phases air gap 82, B1 phases air gap 83, B2 phases air gap 84, C1 phases air gap 85 are formed between rotor 1 respectively With this six radial air gaps of C2 phases air gap 86.Left side axial air-gap 71 and the right side are formed between the two ends of axial stator 2 and the two ends of rotor 1 Side axial air-gap 72.
For magnetic bearing, its saturation induction density and magnetic pole area have together decided on the bearing capacity of magnetic bearing. In traditional magnetic bearing design method, saturation induction density is determined according to the saturation value of ferromagnetic material, magnetic induction intensity is biased It is the half of saturation induction density, after magnetic induction intensity is determined, can be just calculated in conjunction with bearing capacity and obtain magnetic bearing Magnetic pole area.But for the three freedom degree mixed magnetic bearing of radial direction sextupole, its axialy offset magnetic flux and radial offset magnetic flux All provided by permanent magnet, each other in the presence of certain relation, result between radial and axial magnetic pole area has fixed Relation, therefore from design, a fixed proportionate relationship is designed between axial bearing capacity and radial direction bearing capacity.And in reality Under different operating modes, relation between radial direction bearing capacity and axial bearing capacity simultaneously meets this fixed proportion, therefore can cause The waste of magnetic bearing volume, the increase of power consumption and the raising of cost
The content of the invention
The three freedom degree mixed magnetic bearing that the present invention is used for radial direction sextupole in order to solve traditional magnetic bearing design method causes Radial direction is fixed proportion relation with axial bearing capacity thus there is the problem of not meeting actual condition, proposes a kind of radial direction sextupole The design method of three freedom degree mixed magnetic bearing, radially, axially bearing capacity can independently choose, do not influence each other.
The technical scheme that a kind of design method of the three freedom degree mixed magnetic bearing of radial direction sextupole of the present invention is used is：According to Magnetic bearing determines axial bearing capacity F in practical applicationZmaxWith radial direction bearing capacity Frmax, it is characterized in that：Judge axial carrying Power FZmaxWith radial direction bearing capacity FrmaxSize；If FZmax>2Frmax, then first axial saturation magnetic is determined according to ferromagnetic material properties Induction BZSWith axialy offset magnetic induction density BZ0, then according to 0.4<Br0<Radial offset magnetic strength is determined in 0.8 requirement Answer intensity Br0Value；If FZmax<2Frmax, then first radial direction saturation induction density B is determined according to ferromagnetic material propertiesrSAnd footpath To biasing magnetic induction density Br0, then according to 0.4<BZ0<Axialy offset magnetic induction density B is determined in 0.8 requirementZ0Value；Most After calculate magnet radial poles area Sr, axial pole area SZWith axial saturation induction density BZS。
It is of the invention independent to choose radial and axial bearing capacity, according to not having influential radial and axial bearing capacity each other The basic parameter of magnetic bearing is obtained again, fixed proportion between axial bearing capacity and radial direction bearing capacity will be caused in traditional design method The constraints of relation is cancelled, and complies fully with the requirement of actual condition, reduce the volume of magnetic bearing, coil turn, power consumption and Cost.
Brief description of the drawings
Fig. 1 is the structural front view of the three freedom degree mixed magnetic bearing of existing radial direction sextupole；
Fig. 2 is Fig. 1 left view；
Fig. 3 is the equivalent magnetic circuit figure of the three freedom degree mixed magnetic bearing of radial direction sextupole in Fig. 1；
Fig. 4 is the design method flow chart of the three freedom degree mixed magnetic bearing of radial direction sextupole of the present invention.
In figure：1. rotor；2. axial stator；3. radial stator；4. radial direction control coil；5. axial control coil；6. forever Magnet；31.A1 phase magnetic poles；32.A2 phase magnetic poles；33.B1 phase magnetic poles；34.B2 phase magnetic poles；35.C1 phase magnetic poles；36.C2 phase magnetic poles； 41.A1 phase control coils；42.A2 phase control coils；43.B1 phase control coils；44.B2 phase control coils；45.C1 phase control lines Circle；46.C2 phase control coils；71. left side axial air-gap；72. right side axial air-gap；81.A1 phase air gaps；82.A2 phase air gaps； 83.B1 phase air gaps；84.B2 phase air gaps；85.C1 phase air gaps；86.C2 phase air gaps.
Embodiment
The mathematical modeling of magnetic bearing is set up according to magnetic equivalent circuit method：Magnetic bearing shown in Fig. 1-2 is equivalent to as shown in Figure 3 Equivalent magnetic circuit, have ignored rotor 1, axial stator 2, the magnetic resistance of radial stator 3 in magnetic circuit, have ignored leakage field, eddy current effect, will Permanent magnet 6, radial direction control coil 4, axial control coil 5 are equivalent to magnetomotive force, by left side axial air-gap 71, right side axial air-gap 72 and A1, A2, B1, B2, C1, C2 phase radial air gap 81,82,83,84,85,86 be equivalent to magnetic conductance.In Fig. 3, GA1、GA2、GB1、 GB2、GC1、GC2The respectively magnetic conductance of A1, A2, B1, B2, C1, C2 phase radial air gap 81,82,83,84,85,86, GZ1、GZ2Respectively For the magnetic conductance of left side axial air-gap 71 and right side axial air-gap 72, NrFor A1, A2, B1, B2, C1, C2 phase magnetic pole 31,32,33, 34th, the control coil number of turn wound on 35,36, NZFor the total number of turns of axial control coil 5, iAFor A1, A2 phase control coil 41, The electric current being passed through in 42, iBFor the electric current being passed through in B1, B2 phase control coil 43,44, iCFor in C1, C2 phase control coil 45,46 The electric current being passed through, iZFor the electric current being passed through in axial control coil 5, ΦA1、ΦA2、ΦB1、ΦB2、ΦC1、ΦC2Respectively A1, The magnetic flux flowed through in A2, B1, B2, C1, C2 phase radial air gap 81,82,83,84,85,86, ΦZ1、ΦZ2On the left of respectively axially The magnetic flux flowed through in air gap 71 and right side axial air-gap 72, ΘmThe external magnetomotive force produced for permanent magnet 6, ΦmProduced for permanent magnet 6 Raw total magnetic flux.Per the equivalent magnetic conductance G of phase radial air gapA1、GA2、GB1、GB2、GC1、GC2The radial direction control coil 4 of phase is corresponded to respectively Equivalent magnetomotive force is in parallel again after mutually concatenating, and forms radial parallel magnetic circuit.The equivalent magnetic conductance G of left and right sides axial air-gap 71,72Z1、 GZ2It is in parallel again after the magnetomotive force equivalent with the axial control coil 5 of respective side is mutually concatenated respectively, form axial parallel circuits.Radially The magnetomotive force Θ produced after parallel circuits and axial parallel circuits concatenation with permanent magnet 6mConnect to forming the equivalent magnetic circuit of magnetic bearing. Radially, axially bearing capacity and magnet radial poles area, axial pole area and axial saturation magnetic strength can be derived according to equivalent magnetic circuit Answer the calculation relational expression between intensity.It is specific as follows：
Equivalent magnetic circuit in Fig. 3, the expression of magnetic flux in each air gap can be derived using the conventional Calculation Method of magnetic circuit Formula：
In formula (1), GZSFor axial air-gap magnetic conductance sum, GZMFor the difference of axial air-gap magnetic conductance, GrFor radial air gap magnetic conductance it With GsumFor radially, axially air-gap permeance sum, ΦrcRadially to control the deviation of magnetic flux, its expression is：
GZS=GZ1+GZ2, GZM=GZ1-GZ2, Gr=GA1+GA2+GB1+GB2+GC1+GC2,
Gsum=GZ1+GZ2+GA1+GA2+GB1+GB2+GC1+GC2,
During design bearing capacity, premised on rotor 1 is located at center, therefore, the magnetic conductance phase of two air gaps 71,72 in axial direction Deng equal to axial vacuum air-gap permeance GZ0：That is GZ1=GZ2=GZ0=μ0SZ/δZ, μ0For space permeability, SZFor axial stator 2 The sectional area of axial air-gap part, δ are constituted with rotor 1ZLeft side axial air-gap 71 and right side when being located at center for rotor 1 The length of axial air-gap 72.The magnetic conductance of A1, A2, B1, B2, C1, C2 phase radial air gap 81,82,83,84,85,86 is equal, is equal to Radial air gap vacuum magnetic conductance Gr0, i.e. GA1=GA2=GB1=GB2=GC1=GC2=Gr0=μ0Sr/δr, SrFor A1, A2, B1, B2, C1, The sectional area of C2 phases magnetic pole 31,32,33,34,35,36, δrA1, A2, B1, B2, C1, C2 phase when being located at center for rotor 1 The length of radial air gap 81,82,83,84,85,86.Therefore formula (1) can be reduced to：
In formula (2), ΦZ0The magnetic flux produced for permanent magnet 6 in axial air-gap, Φr0It is permanent magnet 6 in radial air gap The magnetic flux of generation, kZFor the rigidity of axial current, krFor the rigidity of radial direction control electric current, expression is：
Therefore, in conjunction with formula (2), it can obtain the magnetic flux Φ of left side axial air-gap 71Z1For：
ΦZ1=ΒZ0SZ+kZNZiZmax=ΒZSSZ (3)
In formula (3), iZmaxFor the maximum current that can be passed through in axial control coil 5, BZ0It is permanent magnet 6 in axial air-gap The saturation induction density of generation, due to ΦZ0The magnetic flux produced for permanent magnet 6 in axial air-gap, therefore have BZ0SZ=ΦZ0, BZSFor the saturation induction density that can be reached in axial air-gap, axial maximum controlling current i is passed through in axial control coil 5Zmax, There is iZ=iZmax, the magnetic induction intensity in left side axial air-gap 71 is axial saturation induction density BZS,
It can be obtained by formula (3)：
kZNZiZmax=ΒZSSZ-ΒZ0SZ (4)
Therefore the magnetic flux Φ on the right side of in axial air-gap 72Z2It can be calculated and obtained by formula (2) and formula (4)：
ΦZ2=ΒZ0SZ-kZNZiZmax=2 ΒZ0SZ-ΒZSSZ (5)
Formula (3) and formula (5) are substituted into the axial bearing capacity F that following formula obtains magnetic bearingZmaxWith axial saturation induction density BZS, axialy offset magnetic induction density BZ0With axial pole area SZBetween relation expression formula：
Make irmaxFor the maximum controlling current that can be passed through in radial direction control coil 5, B is mader0It is permanent magnet 6 in radial air gap The magnetic induction intensity of generation, due to Φr0The magnetic flux produced for permanent magnet 6 in radial air gap, therefore have Br0Sr=Φr0, make BrS For the saturation induction density that can be reached in radial air gap.By taking A1 phases magnetic pole 31 as an example, make in A1 phase controls coil 41 and be passed through footpath To maximum controlling current irmax, there is iA=irmax, the magnetic induction intensity in A1 phases air gap 81 reaches radial direction saturation induction density BSr, the magnetic flux Φ in A1 phases air gap 81A1For BrSSr, can be expressed as：
ΦA1=Βr0Sr+krNrirmax=ΒrSSr (7)
Radial direction maximum controlling current i then can be obtained by formula (7)rmaxWith radial direction saturation induction density BrSAnd radial offset Magnetic induction density Br0Between relation be：
krNrirmax=ΒrSSr-Βr0Sr (8)
According to Φ in formula (2)A2Expression formula and formula (8) magnetic induction intensity obtained in A2 phases air gap 82 can be calculated ΦA2：
ΦA2=Βr0Sr-krNrirmax=2 Βr0Sr-ΒrSSr (9)
Make and radial direction maximum controlling current i is passed through in A1, A2 phase control coil 41,42rmax(iA=irmax), make B1, B2, C1, Negative half-the 0.5i of radial direction maximum controlling current is passed through in C2 phase controls coil 43,44,45,46rmax(iB=iC=- 0.5irmax), produce radial direction bearing capacity Frmax, the now magnetic flux Φ in B1, B2, C1, C2 phase air gap 83,84,85,86B1、ΦB2、 ΦC1、ΦC2It can calculate and obtain：
ΦB1=ΦC1=Βr0Sr-0.5krNrirmax=1.5 Βr0Sr-0.5ΒrSSr
ΦB2=ΦC2=Βr0Sr+0.5krNrirmax=0.5 Βr0Sr+0.5ΒrSSr (10)
Make FrmaxFor radial direction bearing capacity, then radial direction bearing capacity FrmaxWith radial direction saturation induction density BrS, radial offset magnetic Induction Br0With magnet radial poles area SrBetween relation expression formula can by formula (7), formula (9) and formula (10) substitution following formula obtain Arrive：
Due to the axial gas of A1, A2, B1, B2, C1, C2 phase radial air gap 81,82,83,84,85,86 and left side
Gap 71, right side axial air-gap 72 share a biasing magnetic flux, therefore, A1, A2, B1, B2, C1, C2 phase gas
Biasing magnetic flux sum (6B in gap 81,82,83,84,85,86r0Sr) it is equal to left side axial air-gap 71, right side
Biasing magnetic flux sum (2B in axial air-gap 72Z0SZ), then have：
6Βr0Sr=2 ΒZ0SZ (12)
SZIt is the area of axial pole.
There is axial bearing capacity F in these three equations it can be seen from formula (6), (11) and (12)Zmax, radial direction bearing capacity Frmax, axialy offset magnetic induction density BZ0, axial saturation induction density BZS, radial offset magnetic induction density Br0, radial direction saturation Magnetic induction density BrSWith axial pole area Sz, magnet radial poles area Sr, 8 variables altogether, and have 3 equatioies, illustrate there are 5 Variable can freely be set.Axial saturation induction density B can first be determined according to the characteristic of ferromagnetic materialZSWith axialy offset magnetic strength Answer intensity BZ0, for example, make BZS=BrS=0.8, BZ0=Br0=0.4, then it can be calculated according to formula (6), formula (11) and formula (12) Axial bearing capacity FZmaxWith radial direction bearing capacity FrmaxBetween have a fixed relation：FZmax=2Frmax.And actual condition axis To bearing capacity FZmaxWith radial direction bearing capacity FrmaxAnd this relation is unsatisfactory for, therefore the magnetic bearing so designed can cause volume wave Take, the increase of power consumption and the raising of cost.
The present invention, in the requirement of practical application, first determines axial bearing capacity F according to magnetic bearingZmaxCarried with radial direction Power FrmaxOccurrence.Then relatively and axial bearing capacity F is judgedZmaxWith radial direction bearing capacity FrmaxScale：If FZmax> 2Frmax, axial saturation induction density B is just determined according to the intrinsic propesties of ferromagnetic materialZS(BZS=0.8) and axialy offset magnetic strength Answer intensity BZ0(BZ0=0.4), then according to 0.4<Br0<Radial offset magnetic induction density B is determined in 0.8 requirementr0Value.If FZmax<2Frmax, radial direction saturation induction density B is just determined according to the intrinsic propesties of ferromagnetic materialrS(BrS=0.8) and radially inclined Put magnetic induction density Br0(Br0=0.4), then according to 0.4<BZ0<0.8 requirement determines axialy offset magnetic induction density BZ0's Value.
By axialy offset magnetic induction density BZ0, axial saturation induction density BZS, radial offset magnetic induction density Br0And footpath To saturation induction density BrSIn three variables, further according to formula (11) obtain calculate magnet radial poles area Sr：
Obtain calculating the area S of axial pole further according to formula (12)Z：
Axial saturation induction density B is calculated finally according to formula (6)ZSValue：
Therefore deduce that the basic parameter of magnetic bearing：Radial direction saturation induction density BrS(BrS=0.8), radial offset Magnetic induction density Br0(Br0=0.4), axial saturation induction density BZS(BZS=0.6), axialy offset magnetic induction density BZ0(BZ0 =0.5), and magnet radial poles area SrWith axial pole area SZ.Radial direction bearing capacity FrmaxWith axial bearing capacity FZmaxIndependent choosing Take, do not influence each other.The magnetic bearing designed according to these basic parameters fully meets the requirement of actual condition.
With FZmax=100N, FrmaxExemplified by=200N, due to FZmax<2Frmax, therefore can first determine radial direction saturation magnetic strength Answer intensity BrS=0.8 and radial offset magnetic induction density Br0=0.4, then choose axialy offset magnetic induction density BZ0=0.5, meter Calculate Sr=523.6mm2、SZ=1256.64mm2And ΒZS≈ 0.6, according to the magnetic bearing of these parameter designings.

Claims (5)

1. a kind of design method of the three freedom degree mixed magnetic bearing of radial direction sextupole, is determined according to magnetic bearing in practical application Go out axial bearing capacity FZmaxWith radial direction bearing capacity Frmax, it is characterized in that：Judge axial bearing capacity FZmaxWith radial direction bearing capacity Frmax's Size；If FZmax>2Frmax, then first axial saturation induction density B is determined according to ferromagnetic material propertiesZSWith axialy offset magnetic Induction BZ0, further according to 0.4<Br0<Radial offset magnetic induction density B is determined in 0.8 requirementr0Value；If FZmax<2Frmax, Then first determine radial direction saturation induction density B according to ferromagnetic material propertiesrSWith radial offset magnetic induction density Br0, further according to 0.4<BZ0<Axialy offset magnetic induction density B is determined in 0.8 requirementZ0Value；Finally calculate magnet radial poles area Sr, axially Magnetic pole area SZWith axial saturation induction density BZS。
2. a kind of design method of the three freedom degree mixed magnetic bearing of radial direction sextupole according to claim 1, it is characterized in that： By formulaCalculate magnet radial poles area Sr, μ0For space permeability.
3. a kind of design method of the three freedom degree mixed magnetic bearing of radial direction sextupole according to claim 2, it is characterized in that： By formulaCalculate axial pole area SZ。
4. a kind of design method of the three freedom degree mixed magnetic bearing of radial direction sextupole according to claim 3, it is characterized in that： By formulaCalculate axial saturation induction density BZS。
5. a kind of design method of the three freedom degree mixed magnetic bearing of radial direction sextupole according to claim 1, it is characterized in that： By the equivalent magnetic conductance of every phase radial air gap of the hybrid magnetic bearing magnetomotive force phase equivalent with the radial direction control coil of corresponding phase respectively It is in parallel again after concatenation, form radial parallel magnetic circuit；Control axial direction by the equivalent magnetic conductance of left and right sides axial air-gap respectively with respective side The equivalent magnetomotive force of coil processed is in parallel again after mutually concatenating, and forms axial parallel circuits, by radial parallel magnetic circuit and axial direction magnetic in parallel The magnetomotive force produced after the concatenation of road with permanent magnet connects to forming equivalent magnetic circuit, and calculating magnet radial poles face is derived according to equivalent magnetic circuit Product Sr, axial pole area SZWith axial saturation induction density BZSFormula.
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CN108895085A (en) * 2018-08-31 2018-11-27 江苏大学 A kind of inverter-driven outer roller axial-radial direction sextupole hybrid magnetic bearing
CN108895085B (en) * 2018-08-31 2023-08-22 江苏大学 Inverter driving type outer rotor axial-radial six-pole hybrid magnetic bearing
CN111075839A (en) * 2020-01-17 2020-04-28 淮阴工学院 New structure radial two-degree-of-freedom hexapole alternating current/direct current hybrid magnetic bearing
CN111089116A (en) * 2020-01-17 2020-05-01 淮阴工学院 Design method of suspension force symmetric hexapole hybrid magnetic bearing
WO2021143758A1 (en) * 2020-01-17 2021-07-22 淮阴工学院 Design method for six-pole hybrid magnetic bearing having symmetrical suspension forces
CN111089116B (en) * 2020-01-17 2021-08-17 淮阴工学院 Design method of suspension force symmetric hexapole hybrid magnetic bearing
CN111075839B (en) * 2020-01-17 2024-03-26 淮阴工学院 New structure radial two-freedom six-pole alternating current/direct current hybrid magnetic bearing
CN116241564A (en) * 2022-12-08 2023-06-09 淮阴工学院 Octopole heteropolar DC hybrid magnetic bearing
CN116241564B (en) * 2022-12-08 2024-01-23 淮阴工学院 Octopole heteropolar DC hybrid magnetic bearing
CN116255394A (en) * 2022-12-27 2023-06-13 淮阴工学院 Homopolar mixed magnetic bearing with multiple rectangular permanent magnets and permanent magnet parameter design method thereof
CN116255394B (en) * 2022-12-27 2023-12-01 淮阴工学院 Homopolar hybrid magnetic bearing with multiple rectangular permanent magnets and permanent magnet parameter design method

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