CN107786061A - A kind of plate transverse flux linear motor - Google Patents

A kind of plate transverse flux linear motor Download PDF

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CN107786061A
CN107786061A CN201610721362.9A CN201610721362A CN107786061A CN 107786061 A CN107786061 A CN 107786061A CN 201610721362 A CN201610721362 A CN 201610721362A CN 107786061 A CN107786061 A CN 107786061A
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core
tooth
motor
row
pole
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CN107786061B (en
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孙炜
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Nanjing University of Science and Technology
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    • HELECTRICITY
    • H02GENERATION; CONVERSION OR DISTRIBUTION OF ELECTRIC POWER
    • H02KDYNAMO-ELECTRIC MACHINES
    • H02K41/00Propulsion systems in which a rigid body is moved along a path due to dynamo-electric interaction between the body and a magnetic field travelling along the path
    • H02K41/02Linear motors; Sectional motors
    • H02K41/03Synchronous motors; Motors moving step by step; Reluctance motors
    • H02K41/031Synchronous motors; Motors moving step by step; Reluctance motors of the permanent magnet type

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Abstract

The invention discloses a kind of plate transverse flux linear motor, its composition includes:Primary iron core (1), secondary iron core (2), armature winding (3) and permanent-magnet pole (4);Machine winding (3) is wound in the core tooth of primary (1) unshakable in one's determination and forms electric motor primary, and permanent-magnet pole (4) is laid in secondary iron core (2) and forms motor secondary, wherein:Primary iron core (1) is by one piece of primary planar iron-core yoke (101), three row core tooths, including two row outer core teeth (102) and a row middle core tooth (103), and the pole shoe of tooth ends unshakable in one's determination, including the pole shoe (104) of outer core tooth (102) end and the pole shoe (105) of middle core tooth (103) end composition.The magnetic flux plane of this kind of New-type electric machine is mutually perpendicular to the direction of motion, is overcome because electric load and magnetic loading spatially mutually restrict and caused the shortcomings that being unfavorable for improving motor pushing force density, can be realized higher power density;With larger magnetomotive force, be advantageous to improve motor output, and then obtain higher pushing force density.

Description

A kind of plate transverse flux linear motor
Technical field
The invention belongs to machine field, and in particular to a kind of plate transverse flux linear motor.
Background technology
Linear motion system has a wide range of applications in the fields such as national defence, military project.With the development of science and technology, people Higher and higher requirement is proposed to linear motion system, including pushing force density is big, control characteristic is flexible, simple in construction, manufacture Easily etc..But make the power of linear electric motors for the linear electric motors of traditional magnetic structure, the mutual restriction of electric load and magnetic loading Density refractory is to be fundamentally improved.In terms of high torque density electrical machine, horizontal magnetic field motor development in recent years is very fast.
The domestic research on horizontal magnetic pass permanent magnetic line electromotor at present is seldom, the Zou Jibin professors of Harbin Institute of Technology And its student have studied using U-shaped core construction transverse flux cylinder type linear electric motors, electric machine structure is simple, but adjacent two-phase Trough rim altogether between winding be present, the coupled problem of each phase winding be present, additionally due to twice of Neighboring primary core tooth unit interval is forever Pole pitch, the utilization rate of permanent-magnet pole is not high and serious (Zou Jibin, Wang Qian, Zhang Hongliang the transverse flux linear motor electromagnetism of leakage field The analysis of power and calculating [J] electrotechnics journals, 2007,22 (8)).The Kou Baoquan professors of Harbin Institute of Technology and its student It has studied the plate and cylinder-type transverse-flux linear permanent magnet synchronous motor of two-way interlinkage, the tooth of the electric motor primary core unit Away from equal to pole span, secondary permanent magnet can be made full use of, effectively reduces interelectrode magnetic leakage, but the electric machine structure is complicated and adjacent winding One section of core tooth is shared, coupled problem be present between different windings, therefore, it is difficult to realize heterogeneous structure (Kou Baoquan, Yang Guolong, week Tie up just, the two-way plate permanent magnet linear synchronous motor of interlinkage transverse magnetic flux [J] Proceedings of the CSEE of conspicuous, 2012,33: 75-81+178., Kou Baoquan, Yang Guolong, Li Peng, the base of a two-way interlinkage transverse flux cylinder type linear permanent magnet synchronous motor of conspicuous Plinth research [J] Proceedings of the CSEEs, 2012,36:61-67+13.).
In a word, the existing transverse flux linear motor primary space availability ratio using core constructions such as traditional U-shaped, C-shapeds Not high, the utilization rate of permanent magnet is relatively low, and permanent magnet interelectrode magnetic leakage is larger.In addition, they mostly also there is or it is complicated, Processing difficulties, or the problems such as armature winding effective length ratio is not high, be also improved in power density and processing and manufacturing Space.
For the above situation, the present invention proposes a kind of plate transverse flux linear motor technical scheme.
The content of the invention
Technical problem solved by the invention is to provide a kind of plate transverse flux linear motor, and it has higher Permanent magnet utilization rate, permanent magnet interelectrode magnetic leakage is improved, and higher power density and pushing force density can be realized.
The technical solution for realizing the object of the invention is:
Plate transverse flux linear motor, its composition include:Primary iron core 1, secondary iron core 2, armature winding 3 and permanent magnetism Pole 4;Machine winding 3 is wound in the core tooth of primary iron core 1 and forms electric motor primary, and permanent-magnet pole 4 is laid in structure in secondary iron core 2 Into motor secondary;Primary iron core 1 is by one piece of primary planar iron-core yoke 101, three row core tooths, including two row outer core teeth 102 and a row middle core tooth 103, and the pole shoe of tooth ends unshakable in one's determination, include the He of pole shoe 104 of the end of outer core tooth 102 The pole shoe 105 of the end of middle core tooth 103 forms.
The U-shaped and T-shaped core construction that primary iron core 1 is arranged alternately on direction of motion v, i.e., inside same row core tooth Layout pitch be 2 permanent-magnet poles away from 2 τ, and the dislocation distance between outer core tooth 102 and middle core tooth 103 is one Individual permanent-magnet pole is away from τ.
The pole shoe 104 of the end of outer core tooth 102 is extended in permanent-magnet pole 4 along v is perpendicularly to the direction of movement to inner side Surface, the pole shoe 105 of the end of middle core tooth 103 extend over table in permanent-magnet pole 4 laterally along v is perpendicularly to the direction of movement Face.
Armature winding 3 is wound on a row middle core tooth 103.
The permanent-magnet pole 6 that one row N-S alternately magnetizes is arranged in order the upper table for being installed on secondary iron core 2 along motor movement direction v Face.
Core tooth on primary planar iron-core yoke 101 can be generalized to the arbitrary integer time 3N along the 3 of direction of motion v Row, including 2N row outer cores tooth 102 and N row middle cores tooth 103, be now wound on armature on middle core tooth 103 around The number of group 4 is N, and the permanent-magnet pole in secondary iron core 2 corresponds to N row.
Compared with prior art, its remarkable advantage is the present invention:1) from principle, the magnetic flux plane of this kind of New-type electric machine It is mutually perpendicular to the direction of motion, overcomes and caused be unfavorable for improving because electric load and magnetic loading spatially mutually restrict The shortcomings that motor pushing force density, higher power density can be realized;2) from magnetic structure, electric motor primary submission unshakable in one's determination U-shaped and T-shaped core construction for arrangement, as caused by permanent magnetic potential interlink armature winding magnetic flux by outer core tooth and in Between core tooth two parts to opposite polarity permanent-magnet pole produce jointly, there is larger magnetomotive force, be advantageous to improve motor Contribute, and then obtain higher pushing force density;3) from core tooth part structure, used tooth ends pole shoe covering magnetic unshakable in one's determination Pole surface, the part of pole shoe face magnetic pole surfaces have larger surface area, have higher magnetic pole utilization rate, effectively reduce pole Between leakage field, and there is less air-gap reluctance and permanent-magnet pole magnetic resistance in magnetic loop, more efficient energy conversion can be realized;4) from Seen in manufacturing process, the motor uses flat board iron-core yoke and staggered core tooth, can both use traditional silicon steel sheet stack The mode of pressure, again the new soft-magnetic composite material (Soft Magnetic Composites, SMC) of machining can be used to come in fact Existing, manufacturing process is simple, and armature winding structure is simple, can hand insertion, wire insertion technology is simple;5) from application scenario, The control and regulation of the speed of service are simple, suitable for the direct drive occasion of low-speed high-thrust.By adjusting voltage, frequency etc., Different thrust and speed can be obtained, there is stronger flexibility.
Brief description of the drawings
Fig. 1 (a) is the front view and relative dimensions mark of the plate transverse flux linear motor;
Fig. 1 (b) is the A-A sectional views of the plate transverse flux linear motor;
Fig. 1 (c) is the B-B sectional views of the plate transverse flux linear motor;
Fig. 2 is the structural representation of the plate transverse flux linear motor;
Fig. 3 (a) is the primary core portion schematic diagram of the plate transverse flux linear motor;
Fig. 3 (b) is the armature winding schematic diagram of the plate transverse flux linear motor;
Fig. 4 is the sub-section schematic diagram of the plate transverse flux linear motor;
Fig. 5 (a) is magnetic circuit figure of the plate transverse flux linear motor in the case of position 1;
Fig. 5 (b) is magnetic circuit figure of the plate transverse flux linear motor in the case of position 2;
Fig. 6 is equivalent magnetic circuit modeling of the plate transverse flux linear motor in the case of position 1 or position 2.
In figure:1 is primary unshakable in one's determination, and 2 be secondary iron core, and 3 be armature winding, and 4 be permanent-magnet pole, and 101 be primary planar sections Heart yoke, 102 be outer core tooth, and 103 be middle core tooth, and 104 be the pole shoe of outer core tooth ends, and 105 be middle core The pole shoe of tooth ends, v are the direction of motion.
Embodiment
The method for solving of general electromagnetic problems has analytic method and numerical solution.Analytic method includes magnetic equivalent circuit method and layering Modelling;Magnetic equivalent circuit method is a kind of method of traditional solution motor-field, and motor is expressed by way of drawing magnetic circuit figure Magnetic field, there is clear concept, calculate the characteristics of simple;Hierarchical mode method describes electromagnetic field with partial differential or integral equation, so The methods of using the separation of variable afterwards direct solution, its application is typically limited to boundary condition simply and medium is linear field Close.Numerical solution applicable surface is broader, can solve substantial amounts of Electromagnetic Field practical problem, modern age is with computer technology Fast development, the proportion that numerical solution particularly FInite Element accounts in machine analysis is increasing.But FEM calculation Required time is very long, and the dimensional Finite Element that particularly analyzing horizontal magnetic pass permanent magnetic line electromotor must use takes huge Greatly, thus analytic method for analysis horizontal magnetic pass permanent magnetic line electromotor for and it is very important.Below based on motor in itself Relation equation, related design of electrical motor experience and magnetic equivalent circuit method provide and solve the plate transverse flux linear motor substantially The technical scheme of dimensional parameters.
Plate transverse flux linear motor, its composition include:Primary iron core 1, secondary iron core 2, armature winding 3 and permanent magnetism Pole 4;Machine winding 3 is wound in the core tooth of primary iron core 1 and forms electric motor primary, and permanent-magnet pole 4 is laid in structure in secondary iron core 2 Into motor secondary;Primary iron core 1 is by one piece of primary planar iron-core yoke 101, three row core tooths, including two row outer core teeth 102 and a row middle core tooth 103, and the pole shoe of tooth ends unshakable in one's determination, include the He of pole shoe 104 of the end of outer core tooth 102 The pole shoe 105 of the end of middle core tooth 103 forms.Technical scheme specific implementation is as follows:
1. key dimension parameter calculates
Power output equation is as follows:
In formula:Pout、UoAnd IoIt is the power output, output phase voltage and phase current of motor respectively;It is bearing power Factor;M is the number of phases.
By specific electric load A definition, i.e., the ampere-conductors in unit length, it is known that
Define proportionality coefficient ku=E/Uo, E is unloaded terminal voltage.Power output in formula (1) can be defined as:
In formula:N is umber of turn;bwFor the width of primary and secondary flat board iron-core yoke.
If specific magnetic loading of the motor when primary core tooth and secondary permanent-magnet pole face is Bg1, according to linear electric motors Primary part armature winding encloses middle core number N of teethtWith enclosed primary core shoe area St1, total magnetic linkage can be obtained and put down Average is:
Φ=Nt·Bg1·St1 (1-4)
If bb2=bw, then in formula:
St1=bb2·lt=bw·lt (1-5)
In formula:bb2For the width of middle core tooth pole shoe;bwFor primary planar iron-core yoke or secondary flat board iron-core yoke Width;ltFor the length of middle core tooth in the movement direction.
Only consider the fundametal compoment of winding magnetic flux, derive the induced potential of the motor:
E=4KNmfNKwΦ (1-6)
In formula:KNmFor air-gap field waveform coefficient, 1.11 are equal to when air-gap field is Sine distribution;F is power frequency; N is the number of turn that is often in series of armature winding;KwFor the winding coefficient of armature, the winding coefficient of this motor is 1;Φ is per phase magnetic It is logical.
It can be obtained by (1-4)~(1-6) and f=v/ (2 τ):
In formula:V is Rated motor linear velocity;τ is motor secondary permanent-magnet pole pole span.
From the magnetic circuit distribution map 5 (a) and 5 (b) of motor, the magnetic flux that middle core tooth is guided is outer core tooth institute The sectional area of middle core tooth is considered when guiding twice of magnetic flux, be uniformly distributed to ensure that the magnetic of motor internal is close, therefore designing For twice of outer core tooth sectional area.Due to length l of the core tooth along the direction of motiontPermanent-magnet pole is approximately equal to along the direction of motion Length lpm, in the case where ensuring that middle core tooth and outer core tooth have same magnetic close, if the width of middle core tooth For bt, then the width b of outer core toothttEqual to 0.5bt.If the width b of primary groove portion unshakable in one's determinationsEqual to the width of outer core tooth btt, then the width of whole motor, i.e. the width of primary planar iron-core yoke is bw=3bt
By above-mentioned restriction relation and (1-3) and (1-7), it is known that:
If bw=3bt=3lt, then
If δpm=0.2 τ, i.e. τ=1.25bt, then
In addition, also following relations:bb2=bw=3bt=3lt, btt=0.5bt, lpm≈lt=τ-δpm, bpm=bw, bb1= 3btt,bb≈0.5bs.According to design of electrical motor experience, primary planar iron-core yoke thickness h can obtaine=0.5btt, it is secondary plate Yoke thickness h unshakable in one's determinationr=0.5btt, gas length lg=0.5mm, pole shoe thickness hb=bb1/ 3, groove depth hsCan be by required electric current I, groove Full rate and groove width bsIt is calculated etc. parameter, tooth height h unshakable in one's determinationt=hs+hb.Thus several major parameters of motor are obtained, in addition Also need to determine the thickness h of secondary permanent-magnet polepm, therefore also need to establish equivalent magnetic circuit modeling as shown in Figure 6 and analyzed.
2. equivalent magnetic circuit modeling
It is respectively flux circuit of the New-type electric machine in the case of diverse location as shown in Fig. 5 (a) and 5 (b).Counted to simplify Calculate, ignore permanent-magnet pole leakage permeance, it is as shown in Figure 6 to obtain equivalent magnetic circuit modeling.Wherein, the magnetomotive force of permanent magnet is
FcN=FcS=Hchpm (1-11)
In formula:HcFor the coercivity of permanent magnet;hpmFor permanent-magnet pole thickness.
ΛpmiAnd ΛpmoFor the magnetic conductance of permanent magnet;ΛrFor secondary plate rear of core magnetic conductance;ΛsFor primary planar sections Heart yoke portion magnetic conductance;ΛgiAnd ΛgoFor air-gap permeance middle and between outer core tooth and permanent-magnet pole;ΛbiAnd ΛboIn respectively Between and outside pole shoe magnetic conductance;ΛtiAnd ΛtoRespectively middle and outer core teeth portion magnetic conductance.
In formula:μ0、μpm、μfeIt is the magnetic conductivity of vacuum, permanent magnet and iron core respectively;τ、lg、lpmAnd ltRespectively permanent-magnet pole Away from, gas length, permanent-magnet pole the direction of motion length and core tooth the direction of motion length;bt、btt、bb1、bb2、bwWith bpmThe respectively width of middle core tooth, the width of outer core tooth, the width of outer core tooth pole shoe, middle core tooth pole shoe Width, the width of primary or secondary flat board iron-core yoke and the width of permanent-magnet pole;hpm、he、hr、hsAnd hbRespectively permanent magnetism Pole thickness, primary planar iron-core yoke thickness, secondary flat board iron-core yoke thickness, the depth of core slots and tooth ends pole shoe unshakable in one's determination Thickness.
Total magnetic resistance that flux circuit is can obtain by the magnetic conductance of (1-12)~(1-21) the flux circuit each several parts provided is
Total magnetic resistance RmIn include two components:Known components Rm1With unknown components Rm2, respectively such as formula (1-23) and formula (1- 24) shown in.
Flux circuit equation (1-25) can be established by Fig. 6 magnetic circuit model, you can permanent magnet thickness h needed for obtainingpm, such as formula Shown in (1-26).
FcN+FcS=Φ Rm (1-25)
3. motor fabricates scheme
According to Fig. 2, the physical model of the plate transverse flux linear motor is mainly made up of following components:One piece Primary iron core 1, one piece of secondary iron core, 2, row permanent-magnet poles 4 of armature winding 3 and one.Primary physical model such as Fig. 3 (a) unshakable in one's determination Shown, shown in physical model such as Fig. 3 (b) of armature winding, the physical model of a row permanent-magnet pole and secondary iron core is as shown in Figure 4. Wherein, primary iron core 1 is by the core tooth of primary planar iron-core yoke 101 and three row Heterogeneous Permutations, including two row outer core teeth 102 and a row middle core tooth 103, and the pole shoe of tooth ends unshakable in one's determination, include the He of pole shoe 104 of the end of outer core tooth 102 The pole shoe 105 of the end of middle core tooth 103, the permanent-magnet pole 4 that a row N-S alternately magnetizes are laid in the upper surface of secondary iron core 2.Should Plate transverse flux linear motor is simple in construction, easily manufactured, and two processing and manufacturing schemes of the motor are given below:
Scheme one:
Although the primary iron core 1 of the plate transverse flux linear motor is arranged wrong by primary planar iron-core yoke 101 and three The core tooth composition of position arrangement, but the basic cross section of the motor only has two kinds, respectively such as Fig. 1 (b) and 1 (c).Silicon steel can be passed through The mode that piece laminates respectively obtains two kind varying cross-section shapes as shown in Fig. 1 (b) and 1 (c) of the motor along direction of motion v Motor sectional, and along direction of motion v laminate length be approximately a permanent-magnet pole away from τ, it is then that both differences are transversal Alternately connection overlaps together the primary iron core 1 of composition for the primary segmentation unshakable in one's determination of face shape;The structure of armature winding 3 is relatively simple, can It is wound on by way of hand insertion in a middle row core tooth;Motor secondary iron core 2 can also pass through silicon steel plate stacking Mode obtain, finally by a row N-S, alternately the permanent-magnet pole 4 that magnetizes is laid in the upper surface of secondary iron core 2.
Scheme two:
Except that by the way of silicon steel plate stacking, soft-magnetic composite material can also be used to carry out machining.Pass through first The mode of machining obtains primary planar iron-core yoke 101 and three row core tooths, then is opened on primary planar iron-core yoke 101 Groove obtains the core slots of three row Heterogeneous Permutations, and the layout pitch of same row core slots is two permanent-magnet poles away from 2 τ, outer core Dislocation distance between groove and middle core groove is a permanent-magnet pole away from τ;Then three row core tooths are imbedded into primary planar sections In three row core slots on heart yoke;Armature winding 3 is wound on by way of hand insertion in a middle row core tooth; Motor secondary iron core 2 can also be obtained by soft-magnetic composite material machining, the permanent-magnet pole 4 that finally a row N-S alternately magnetizes It is laid in the upper surface of secondary iron core 2.
4. the detent force analysis of transverse flux linear motor
Detent force is larger to the performance impact of transverse flux linear motor, and its presence can make the thrust of motor that ripple occur It is dynamic, so as to produce vibration and noise;And when the frequency of detent force is consistent with the mechanical resonance frequency of stator or mover, vibration It will be also exaggerated with noise.The presence of detent force equally have impact on motor low-speed performance in the controls and be controlled in position High accuracy positioning in system.Thus it is necessary to analyze the detent force of transverse flux linear motor.
The mechanism of production of horizontal magnetic field motor detent force and the mechanism of production of conventional permanent magnet motor location torque be it is the same, But due to the particularity of its structure so that the detent force cycle of horizontal magnetic field motor is different from conventional motors, below emphatically to it Analyzed.
The number of the preferable Cogging Torque of traditional permanent magnet rotating machine is motor pole number 2P and slot number Z least common multiple Number.For transverse flux linear motor, due to being separated by twice of pole span between each stator component of motor, if ignoring the edge effect of motor Should, it is believed that it is the electric rotating machine that a radius is infinity, number of poles 2N, slot number are N, and wherein N tends to be infinitely great.According to Knowable to the theory of conventional motors location torque is analyzed, the detent force number of transverse flux linear motor is 2N, namely positioning The power cycle is τ, and wherein τ is the pole span of motor.
Analysis above is only applicable to single-phase transverse flux linear motor.For three-phase structure, following two feelings can be divided into Condition:
(1) transverse flux linear motor three-phase Striking symmetry, spatially 120 ° of electrical angles of mutual deviation
Fourier decomposition is carried out to detent force caused by motor three-phase, can be obtained:
Wherein, x is the position where electric mover.
Now general orientation power is caused by transverse flux linear motor
Therefore it is for the transverse flux linear motor of three-phase symmetrical, its detent force cycle
(2) transverse flux linear motor asymmetrical three-phase
If b phases are θ with the spatially poor electrical angle of a phasesab, c phases are θ with the spatially poor electrical angle of a phasesac,
Fourier decomposition is carried out to detent force caused by motor three-phase, can be obtained:
NowTherefore the detent force of motor is all Phase is τ.
5. the lifting scheme of electromagnetic force
One of the common concern, its reason why transverse flux linear motor obtains people is exactly that it can be provided than passing The much bigger force density of system linear electric motors.The special construction of transverse flux linear motor allows to by increasing motor number of pole-pairs To improve the force density of motor.Below principle is lifted to analyze the electromagnetic force of transverse flux linear motor.
Fig. 1 (a) gives the front view of the motor.In the case of outside motor size constancy, the pole span τ of motor is subtracted Half, so that motor pole number doubles, correspondingly, stator lasmination number also doubles.
It is can be found that by research:Ensureing the mechanical movement speed v of motormOn the premise of constant, if by mover permanent magnetism Number of pole-pairs doubles, and in the case where not considering leakage field, the size for the magnetic flux crossed per circle conductor institute chain is constant, but its rate of change But one times is added, thus is doubled per opposite potential.So, in the case where motor electric load is constant, the electromagnetism of motor Power will also double.Due toSo FemDouble, the electromagnetism force density of motor is carried It is high.
But in fact, while mover number of pole-pairs is increased, leakage field also can correspondingly increase in motor, so that in motor Main flux reduce, winding induced electromotive force also can reduce correspondingly.Therefore the increase of number of pole-pairs has an individual limit, i.e., until it Untill increase no longer makes back-emf increase.In addition, the increase of number of pole-pairs will cause the drop of transverse flux linear motor power factor It is low.Therefore when designing transverse flux linear motor, the selection of number of pole-pairs need to take into account simultaneously electromagnetism force density and power factor this Two indexs.Under certain conditions, in order to obtain a higher power factor, it is necessary to sacrifice the electromagnetism force density of motor For cost.In summary, when motor number of pole-pairs increase, for transverse flux linear motor, in certain scope, electromagnetic force Density correspondingly increases.
6. the mathematical modeling of transverse flux linear motor
In order to carry out the performance evaluation of motor and Control System Design, it is necessary to establish the plate transverse flux linear motor Mathematical modeling.Because transverse flux motor is one kind of synchronous motor, thus synchronous motor can be copied to carry out transverse magnetic flux The modeling of linear electric motors.But when needing meter and the factor such as magnetic field saturation and armature-reaction, the number of transverse flux linear motor Learning model just becomes complex, now needs to consider the non-linear of phase relation and inductance between winding back-emf and electric current Influenceed Deng caused by.A kind of relatively good method is exactly to carry out transverse direction according to the relation curve between motor magnetic linkage and electric current The modeling of flux linear motor, magnetic linkage caused by magnet steel is represented by introducing the concept of " magnet steel equivalent current ", so as to Easily to obtain the mathematical modeling of motor.
In motor unsaturation, it is linear relationship between magnetic linkage and electric current that can be approximately considered caused by armature supply, this When winding inductance be a constant.Due to being regarded as decoupling mutually between each phase of transverse flux linear motor, thus can be only to it In a phase analyzed, in the case where not considering edge effect, can obtain the flux linkage equations of transverse flux linear motor and electricity Press shown in equation such as formula (1-30).
In formula:λmpmFor the peak value of magnetic linkage caused by permanent magnet;LaFor winding inductance (when unsaturated);λ be motor in forever Total magnetic linkage caused by magnet and armature supply;The electric current that i is flowed through by armature winding;θ is the equivalent electric angle where mover Degree,Position when x=0 is defined as into the magnetic flux maximum of institute's linkage in stator component where mover;r For the resistance of armature winding;U is winding applied voltage.
Carry out steady-state analysis, should determine that the waveform of armature supply first.Because the magnetic linkage of machine winding is substantially by remaining String rule changes, in order to which the power for ensureing to input motor in a cycle is that just armature supply should have following functional form:
I=-Im sin(θ+θt) (1-31)
Wherein
First formula of (1-30) and (1-31) are substituted into (1-30) second formula, and are converted into phasor shape Formula, can obtain voltage equation is:
In formula:For terminal voltage phasor, For winding induced electromotive force phasor, For armature Electric current phasor,θtFor phasorWithBetween angle, referred to as angle of torsion;XaFor the induction reactance of armature winding, Xa= ωLa
Further simplify, can obtain
This does not consider voltage equation during transverse flux linear motor steady-state operation during saturation as.As can be seen that the party The voltage equation of journey and implicit pole synchronous motor is quite similar, and this is also synchronous from other side explanation transverse flux linear motor One kind of motor, thus the analysis method of synchronous motor can be copied to study transverse flux linear motor, this is for horizontal stroke Performance evaluation and control strategy research to flux linear motor have great importance.It is straight for the transverse magnetic flux of other structures Line motor, such as magneticfocusing structure, when d-axis reactance and unequal quadrature axis reactance, it can use and be similar to hybrid permanent magnet type synchronization The voltage equation of motor carries out the steady-state analysis of transverse flux linear motor, repeats no more here.
When needing the influence of meter and saturation, the amplitude of magnetic linkage caused by permanent magnet is no longer a constant, but electric Pivot electric current i and angle of torsion θtFunction;Meanwhile armature inductance LaAlso it will change with the change of motor degree of saturation, be armature electricity Flow i and angle of torsion θtFunction.These all cause the modeling of transverse flux linear motor to become complicated, and now (1-33) is represented Voltage equation no longer be applicable, other methods must be considered as to establish the mathematical modeling of transverse flux linear motor.
In fact, because the relative permeability of permanent magnetic steel is close to 1, transverse flux linear motor can be regarded as hidden Pole motor, thus motor magnetic linkage and its shape of the relation curve of armature supply are essentially identical when mover is in diverse location, it Can be by translating mutually to obtain along transverse axis.
When θ=90 °, magnet steel magnetic linkage caused by armature winding be 0, now in motor total magnetic linkage and electric current relation Curve can be represented with multinomial:
By the way that the curve is translated, the relation of motor magnetic linkage and electric current when mover is in diverse location that can obtain is:
In formula, isIt is the electric current relevant with permanent magnetic steel, is defined as " magnet steel equivalent current ".
When armature supply is 0, the magnetic linkage in motor produces by magnet steel, now isMeet
It can be seen that isIt is rotor position angle θ function, that is to say rotor position x function, its big I passes through formula (1-36) It is determined that.
So, equation below can be obtained:
This is to consider motor saturation and the mathematical modeling of transverse flux linear motor during armature-reaction.Using the model, Easily the runnability of motor can be analyzed.
Present embodiment is not only suitable for single-phase plate transverse flux linear motor, is applied to the plate horizontal stroke of three-phase again To flux linear motor.

Claims (6)

1. a kind of plate transverse flux linear motor, its composition includes:Primary iron core (1), secondary iron core (2), armature winding And permanent-magnet pole (4) (3);Machine winding (3), which is wound in the core tooth of primary (1) unshakable in one's determination, forms electric motor primary, and permanent-magnet pole (4) is flat It is layered in secondary iron core (2) and forms motor secondary, it is characterised in that:Primary iron core (1) is by one piece of primary planar iron-core yoke (101), three row core tooth, including two row outer core teeth (102) and a row middle core tooth (103), and tooth ends unshakable in one's determination Pole shoe, including pole shoe (105) group of the pole shoe (104) of outer core tooth (102) end and middle core tooth (103) end Into.
2. linear electric motors according to claim 1, it is characterised in that:Primary iron core (1) is on direction of motion v in alternately row The U-shaped and T-shaped core construction of row, i.e. layout pitch inside same row core tooth are 2 permanent-magnet poles away from 2 τ, and outer core Dislocation distance between tooth (102) and middle core tooth (103) is a permanent-magnet pole away from τ.
3. linear electric motors according to claim 1 or 2, it is characterised in that:The pole shoe of outer core tooth (102) end (104) edge is perpendicularly to the direction of movement v and extended over to inner side in the surface of permanent-magnet pole (4), the pole of middle core tooth (103) end Boots (105) edge is perpendicularly to the direction of movement v and extended over laterally on the surface of permanent-magnet pole (4).
4. linear electric motors according to claim 1, it is characterised in that:Armature winding (3) is wound on a row middle core tooth (103) on.
5. linear electric motors according to claim 1, it is characterised in that:One row N-S alternately the permanent-magnet pole (6) that magnetizes along motor Direction of motion v is arranged in order the upper surface for being installed on secondary iron core (2).
6. linear electric motors according to claim 1, it is characterised in that:Core tooth on primary planar iron-core yoke (101) It can be generalized to the arbitrary integer time 3N row along the 3 of direction of motion v, including 2N row outer core teeth (102) and N row middle cores Tooth (103), the number for the armature winding (4) being now wound on middle core tooth (103) is N, and in secondary iron core (2) forever Magnetic pole corresponds to N row.
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CN112087117A (en) * 2020-08-21 2020-12-15 南京信息工程大学 omega-I type stator transverse flux permanent magnet linear motor
WO2024000698A1 (en) * 2022-06-30 2024-01-04 瑞声光电科技(常州)有限公司 Direct drive transmission system

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CN105356722A (en) * 2015-12-10 2016-02-24 山东大学 Double-magnetic-circuit E-type structure transverse flux linear switched reluctance motor
CN105356720A (en) * 2015-12-10 2016-02-24 山东大学 Double-permanent-magnet lateral magnetic flux linear permanent magnet motor

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JP2007181370A (en) * 2005-12-28 2007-07-12 Shinko Electric Co Ltd Linear motor and process for manufacturing stator included therein
JP2006174700A (en) * 2006-02-14 2006-06-29 Yaskawa Electric Corp Linear motor
JP2012060756A (en) * 2010-09-08 2012-03-22 Mitsubishi Electric Corp Linear motor
CN105356722A (en) * 2015-12-10 2016-02-24 山东大学 Double-magnetic-circuit E-type structure transverse flux linear switched reluctance motor
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Cited By (3)

* Cited by examiner, † Cited by third party
Publication number Priority date Publication date Assignee Title
CN112087117A (en) * 2020-08-21 2020-12-15 南京信息工程大学 omega-I type stator transverse flux permanent magnet linear motor
CN112087117B (en) * 2020-08-21 2022-12-20 南京信息工程大学 omega-I type stator transverse flux permanent magnet linear motor
WO2024000698A1 (en) * 2022-06-30 2024-01-04 瑞声光电科技(常州)有限公司 Direct drive transmission system

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