CN109977605A - The electromagnetism of Amorphous Metal Motor-structure Coupling dynamic modeling method and system - Google Patents
The electromagnetism of Amorphous Metal Motor-structure Coupling dynamic modeling method and system Download PDFInfo
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Abstract
The invention discloses a kind of electromagnetism of Amorphous Metal Motor-structure Coupling dynamic modeling method and systems, this method comprises: obtaining the initial magnetic field distribution and malformation parameter of Amorphous Metal Motor；The electromagnetic force of the amorphous core of Amorphous Metal Motor is calculated according to initial magnetic field distribution and malformation parameter；The strain stress relation and magnetic induction intensity relationship for obtaining Amorphous Metal Motor calculate magnetostrictive force according to strain stress relation and magnetic induction intensity relationship；The energy and magnetoelastic energy computing system energy function to be done work according to the magnetic field energy of Amorphous Metal Motor, mechanical energy, electric current position energy, electromagnetic force；It asks extreme value to obtain electromagnetism-structure Coupling kinetics equation about magnetic field and displacement variation system capacity function according to variation principle, and establishes electromagnetism-structure Coupling kinetic model.This method considers Amorphous Metal Motor magnetostrictive effect and electromagnetic force, establishes Amorphous Metal Motor electromagnetism-structure Coupling kinetic model, discloses Amorphous Metal Motor electric and magnetic oscillation mechanism.
Description
Technical field
The present invention relates to mechanical kinetics and vibrotechnique field, in particular to electromagnetism-knot of a kind of Amorphous Metal Motor
Structure Coupled Dynamics modeling method and system.
Background technique
Global energy crisis and environmental problem are increasingly serious, and the energy-efficient of motor receives great attention.Amorphous alloy material
Material has excellent properties, when being applied to electric machine stator iron to substitute traditional silicon steel material, can significantly reduce motor
Iron loss improves electric efficiency and power density, especially for high-speed high frequency motor.Amorphous Metal Motor is in aerospace, army
There is huge potential answer with key areas such as vehicle, ships power generation, motor driven, communication base station, emergency power supply and track drawings
With value.
However, the magnetostriction coefficient of amorphous alloy core is significantly increased compared with silicon steel sheet, amorphous core cannot be compressed excessively,
The vibration noise problem as caused by magnetostriction has become industry development bottleneck.Existing theoretical modeling method lays particular emphasis on electromagnetic force
Analysis and research, in recent years engineering practice discovery magnetostrictive effect the vibration noise of motor is had a major impact, therefore
Need to establish the complete electromagnetism of Amorphous Metal Motor-structure Coupling kinetic model.
Summary of the invention
The present invention is directed to solve at least some of the technical problems in related technologies.
For this purpose, an object of the present invention is to provide a kind of electromagnetism of Amorphous Metal Motor-structure Coupling dynamics to build
Mould method, this method consider Amorphous Metal Motor magnetostrictive effect and electromagnetic force, establish Amorphous Metal Motor electromagnetism-structure coupling
Kinetic model is closed, Amorphous Metal Motor electric and magnetic oscillation mechanism is disclosed.
It is another object of the present invention to the electromagnetism-structure Coupling Dynamic Modeling systems for proposing a kind of Amorphous Metal Motor
System.
In order to achieve the above objectives, one aspect of the present invention embodiment proposes a kind of electromagnetism-structure coupling of Amorphous Metal Motor
Close dynamic modeling method, comprising: S1 obtains the initial magnetic field distribution and malformation parameter of Amorphous Metal Motor；
S2 calculates the amorphous core of the Amorphous Metal Motor according to initial magnetic field distribution and malformation parameter
Electromagnetic force；
S3 obtains the strain stress relation and magnetic induction intensity relationship of the Amorphous Metal Motor, according to the strain stress relation and
Magnetic induction intensity relationship calculates magnetostrictive force；
S4 obtains magnetic field energy, mechanical energy and the electric current position energy of the Amorphous Metal Motor, according to the electricity of the amorphous core
The energy of the electromagnetic force acting of Amorphous Metal Motor described in calculation of magnetic force, according to the magnetostrictive force meter of the amorphous core
Calculate magnetoelastic energy, and according to the magnetic field energy, the mechanical energy, the electric current position can, the electromagnetic force acting energy and
The magnetoelastic energy computing system energy function；
The system capacity function is asked extreme value to obtain electromagnetism-knot by S5 according to variation principle about magnetic field and displacement variation
Structure the coupled dynamical equation, and establish electromagnetism-structure Coupling kinetic model.
The electromagnetism of the Amorphous Metal Motor of the embodiment of the present invention-structure Coupling dynamic modeling method, by considering amorphous
The electric and magnetic oscillation modeling that alloy electric machine magnetostrictive effect and electromagnetic force generate, discloses Amorphous Metal Motor electric and magnetic oscillation mechanism,
It is of great significance to the R & D design of Amorphous Metal Motor.
In addition, the electromagnetism of Amorphous Metal Motor according to the above embodiment of the present invention-structure Coupling dynamic modeling method
There can also be following additional technical characteristic:
Further, in one embodiment of the invention, the electromagnetic force by the Amorphous Metal Motor stator, turn
Air-gap field caused by comprehensive non-uniform gap generates between son, and calculation basis is maxwell equation group.
Further, in one embodiment of the invention, the S2 further comprises:
If radial equivalent magnetostrictive strain is εr0(α, t) then integrates non-uniform gap length are as follows:
δc(α, t)=δ (α, t)-εr0(α,t)
Wherein, δ (α, t) is initial non-uniform gap；
The corresponding air-gap permeance of synthesis non-uniform gap and air gap flux density distribution are as follows:
B (α, t)=Λ (α, t) F (α, t)
Wherein, Λ (α, t) is air-gap permeance, and B (α, t) is air gap flux density distribution, and F (α, t) is air gap fundamental wave magnetomotive force, μ0
For space permeability；
According to the equation group of Maxwell's differential form, the Maxwell's stress tensor of rotor surface is on tangentially and radially
Component be respectively as follows:
In formula, n and τ are respectively indicated radially and tangentially；
It is integrated by surface, the expression formula of the electromagnetic force are as follows:
Wherein, R is Amorphous Metal Motor rotor diameter, and L is Amorphous Metal Motor rotor length, and α is circulation integral angle.
Further, in one embodiment of the invention, the S3 further comprises:
The strain stress relation and magnetic induction intensity relationship of the Amorphous Metal Motor are as follows:
εms=σ/EH+dH
B=d σ+μσH
The magnetostrictive stress are as follows:
σms=D εms,
Wherein, D is the elasticity tensor of magnetostriction materials, εmsFor magnetostrictive strain, EHFor the elasticity under stationary magnetic field
Model, σ are applied stress, and d is pressure magnetic strain coefficient, and H is magnetic field strength, and B is magnetic induction intensity, μσFor under a constant
Magnetic conductivity；
The magnetostrictive force on arbitrary area S can be obtained by the magnetostrictive stress in the integral of area S:
Fms=∫SσmsdS。
Further, in one embodiment of the invention, the S4, comprising:
The system capacity function of the iron core electricity magnetic-mechanically system of the Amorphous Metal Motor are as follows:
Wherein,Indicate magnetic field energy,Indicate mechanical energy,
For electric current position energy, Ω1、Ω2The analysis domain in magnetic field and structure field is respectively indicated, J is current phasor, and H is magnetic field strength, and σ is to answer
Power, Γ are domain Ω2Boundary, u be iron coring vibration displacement, FemAnd FmsElectromagnetic force and magnetostrictive force are respectively indicated, B is magnetic induction
Intensity, ε are strain, and A is by product surface, FemFor electromagnetic force, FmsFor magnetostrictive force.
Further, in one embodiment of the invention, the electromagnetism-structure Coupling kinetic model are as follows:
Wherein, P is magnetic stiffness matrix, and Q is mechanical stiffness matrix, and M is magnetic vector, and coupling terms O indicates mechanical oscillation
Influence to magnetic field, coupling terms C indicate influence of the magnetic field to vibration displacement, and u is iron coring vibration displacement, and J is current phasor, FemFor
Electromagnetic force, FmsFor magnetostrictive force.
In order to achieve the above objectives, another aspect of the present invention embodiment proposes a kind of electromagnetism-structure of Amorphous Metal Motor
Coupled Dynamics modeling, comprising: obtain module, the initial magnetic field for obtaining Amorphous Metal Motor is distributed and malformation
Parameter；
First computing module, for calculating the amorphous alloy electricity according to initial magnetic field distribution and malformation parameter
The electromagnetic force of the amorphous core of machine；
Second computing module, for obtaining the strain stress relation and magnetic induction intensity relationship of the Amorphous Metal Motor, according to
The strain stress relation and magnetic induction intensity relationship calculate magnetostrictive force；
Third computing module, for obtaining magnetic field energy, mechanical energy and the electric current position energy of the Amorphous Metal Motor, according to institute
The electromagnetic force for stating amorphous core calculates the energy that the electromagnetic force of the Amorphous Metal Motor is done work, according to the institute of the amorphous core
It states magnetostrictive force and calculates magnetoelastic energy, and according to the magnetic field energy, the mechanical energy, electric current position energy, the electromagnetism
The energy and the magnetoelastic energy computing system energy function of power acting；
Modeling module, for asking extreme value to obtain about magnetic field and displacement variation the system capacity function according to variation principle
Electromagnetism-structure Coupling kinetics equation is obtained, and establishes electromagnetism-structure Coupling kinetic model.
The electromagnetism of the Amorphous Metal Motor of the embodiment of the present invention-structure Coupling Dynamic Modeling system, by considering amorphous
The electric and magnetic oscillation modeling that alloy electric machine magnetostrictive effect and electromagnetic force generate, discloses Amorphous Metal Motor electric and magnetic oscillation mechanism,
It is of great significance to the R & D design of Amorphous Metal Motor.
In addition, the electromagnetism of Amorphous Metal Motor according to the above embodiment of the present invention-structure Coupling Dynamic Modeling system
There can also be following additional technical characteristic:
Further, in one embodiment of the invention, the electromagnetic force by the Amorphous Metal Motor stator, turn
Air-gap field caused by comprehensive non-uniform gap generates between son, and calculation basis is maxwell equation group；
First computing module, is specifically used for,
If radial equivalent magnetostrictive strain is εr0(α, t) then integrates non-uniform gap length are as follows:
δc(α, t)=δ (α, t)-εr0(α,t)
Wherein, δ (α, t) is initial non-uniform gap；
The corresponding air-gap permeance of synthesis non-uniform gap and air gap flux density distribution are as follows:
B (α, t)=Λ (α, t) F (α, t)
Wherein, Λ (α, t) is air-gap permeance, and B (α, t) is air gap flux density distribution, and F (α, t) is air gap fundamental wave magnetomotive force, μ0
For space permeability；
According to the equation group of Maxwell's differential form, the Maxwell's stress tensor of rotor surface is on tangentially and radially
Component be respectively as follows:
In formula, n and τ are respectively indicated radially and tangentially；
It is integrated by surface, the expression formula of the electromagnetic force are as follows:
Wherein, R is Amorphous Metal Motor rotor diameter, and L is Amorphous Metal Motor rotor length, and α is circulation integral angle.
Further, in one embodiment of the invention, second computing module, is specifically used for,
The strain stress relation and magnetic induction intensity relationship of the Amorphous Metal Motor are as follows:
εms=σ/EH+dH
B=d σ+μσH
The magnetostrictive stress are as follows:
σms=D εms,
Wherein, D is the elasticity tensor of magnetostriction materials, εmsFor magnetostrictive strain, EHFor the elasticity under stationary magnetic field
Model, σ are applied stress, and d is pressure magnetic strain coefficient, and H is magnetic field strength, and B is magnetic induction intensity, μσFor under a constant
Magnetic conductivity；
The magnetostrictive force on arbitrary area S can be obtained by the magnetostrictive stress in the integral of area S:
Fms=∫SσmsdS。
Further, in one embodiment of the invention, the third computing module, is specifically used for,
The system capacity function of the iron core electricity magnetic-mechanically system of the Amorphous Metal Motor are as follows:
Wherein,Indicate magnetic field energy,Indicate mechanical energy,
For electric current position energy, Ω1、Ω2The analysis domain in magnetic field and structure field is respectively indicated, J is current phasor, and H is magnetic field strength, and σ is to answer
Power, Γ are domain Ω2Boundary, u be iron coring vibration displacement, FemAnd FmsElectromagnetic force and magnetostrictive force are respectively indicated, B is magnetic induction
Intensity, ε are strain, and A is by product surface, FemFor electromagnetic force, FmsFor magnetostrictive force.
Further, in one embodiment of the invention, the electromagnetism-structure Coupling kinetic model are as follows:
Wherein, P is magnetic stiffness matrix, and Q is mechanical stiffness matrix, and M is magnetic vector, and coupling terms O indicates mechanical oscillation
Influence to magnetic field, coupling terms C indicate influence of the magnetic field to vibration displacement, and u is iron coring vibration displacement, and J is current phasor, FemFor
Electromagnetic force, FmsFor magnetostrictive force.
The additional aspect of the present invention and advantage will be set forth in part in the description, and will partially become from the following description
Obviously, or practice through the invention is recognized.
Detailed description of the invention
Above-mentioned and/or additional aspect and advantage of the invention will become from the following description of the accompanying drawings of embodiments
Obviously and it is readily appreciated that, in which:
Fig. 1 is electromagnetism-structure Coupling dynamic modeling method according to the Amorphous Metal Motor of one embodiment of the invention
Flow chart；
Fig. 2 is the electromagnetic force and magnetostrictive effect schematic diagram according to the Amorphous Metal Motor of one embodiment of the invention；
Fig. 3 is Amorphous Metal Motor electromagnetism-Coupling method general frame figure according to one embodiment of the invention；
Fig. 4 is Amorphous Metal Motor electromagnetism-Coupling method process schematic according to one embodiment of the invention；
Fig. 5 is the Modeling Calculation result and finite element software comparative result figure according to one embodiment of the invention；
Fig. 6 is electromagnetism-structure Coupling Dynamic Modeling system according to the Amorphous Metal Motor of one embodiment of the invention
Structural schematic diagram.
Specific embodiment
The embodiment of the present invention is described below in detail, examples of the embodiments are shown in the accompanying drawings, wherein from beginning to end
Same or similar label indicates same or similar element or element with the same or similar functions.Below with reference to attached
The embodiment of figure description is exemplary, it is intended to is used to explain the present invention, and is not considered as limiting the invention.
Electromagnetism-structure Coupling power of the Amorphous Metal Motor proposed according to embodiments of the present invention is described with reference to the accompanying drawings
Learn modeling method and system.
Electromagnetism-the structure Coupling for describing the Amorphous Metal Motor proposed according to embodiments of the present invention with reference to the accompanying drawings first is dynamic
Mechanical modeling method.
Fig. 1 is electromagnetism-structure Coupling dynamic modeling method according to the Amorphous Metal Motor of one embodiment of the invention
Flow chart.
As shown in Figure 1, the electromagnetism of the Amorphous Metal Motor-structure Coupling dynamic modeling method the following steps are included:
In step sl, the initial magnetic field distribution and malformation parameter of Amorphous Metal Motor are obtained.
Specifically, basic electric parameter is obtained by Amorphous Metal Motor declared working condition (such as voltage, electric current), in addition,
Due to processing and manufacturing error etc., the initial deformation of motor is accounted for into range, obtains the initial magnetic of Amorphous Metal Motor
Field distribution and malformation parameter.
Consider motor stator, comprehensive gas length is the function of time and circumferential angle between rotor, be defined as δ (α,
T), pass through the original state of motor, its available air gap fundamental wave magnetomotive force F (α, t).
In step s 2, the amorphous core of Amorphous Metal Motor is calculated according to initial magnetic field distribution and malformation parameter
Electromagnetic force.
Wherein, as shown in Fig. 2, electromagnetic force gas as caused by uneven gap comprehensive between Amorphous Metal Motor stator, rotor
Gap magnetic field generates, and calculation basis is maxwell equation group.Gap is by initial eccentricity between stator, rotor, the vibration displacement of motor
It is formed with magnetostrictive strain.
Under the action of initial magnetic field is distributed, magnetostrictive strain occurs for amorphous core, and vibration deformation and magnetostriction are answered
Change cooperatively forms comprehensive non-uniform gap, and the electromagnetic force for acting on amorphous core is calculated using maxwell equation group.
Further, the specific steps of electromagnetic force are calculated are as follows:
Comprehensively consider initial non-uniform gap and radial equivalent magnetostriction strain stressr0(α, t) then integrates non-uniform gap
Length are as follows:
δc(α, t)=δ (α, t)-εr0(α,t)
Wherein, δ (α, t) is initial non-uniform gap；
The corresponding air-gap permeance of synthesis non-uniform gap and air gap flux density distribution are as follows:
B (α, t)=Λ (α, t) F (α, t)
Wherein, Λ (α, t) is air-gap permeance, and B (α, t) is air gap flux density distribution, and F (α, t) is air gap fundamental wave magnetomotive force, μ0
For space permeability；
According to the equation group of Maxwell's differential form, the Maxwell's stress tensor of rotor surface is on tangentially and radially
Component be respectively as follows:
In formula, n and τ are respectively indicated radially and tangentially；
It is integrated by surface, the expression formula of electromagnetic force are as follows:
Wherein, R is Amorphous Metal Motor rotor diameter, and L is Amorphous Metal Motor rotor length, and α is circulation integral angle.
In step s3, the strain stress relation and magnetic induction intensity relationship for obtaining Amorphous Metal Motor, according to strain stress relation and
Magnetic induction intensity relationship calculates magnetostrictive force.
Wherein, magnetostriction is embodied by the pressure magnetic equation comprising strain stress relation and magnetic induction intensity relationship, is based on elastic force
It learns and determines magnetostrictive force.
As shown in figure 3, illustrating Amorphous Metal Motor electromagnetism-Coupling method general frame figure, wherein show electromagnetic force
The process generated with magnetostrictive force.
Further, the step of calculating magnetostrictive force are as follows:
Magnetostriction mathematical model is usually described with pressure magnetic equation, and the strain stress relation of Amorphous Metal Motor and magnetic induction are strong
Degree relationship are as follows:
εms=σ/EH+dH
B=d σ+μσH
According to magnetoelasticity mechanics basic principle, magnetostrictive stress be may be expressed as:
σms=D εms,
Wherein, D is the elasticity tensor of magnetostriction materials, εmsFor magnetostrictive strain, EHFor the elasticity under stationary magnetic field
Model, σ are applied stress, and d is pressure magnetic strain coefficient, and H is magnetic field strength, and B is magnetic induction intensity, μσFor under a constant
Magnetic conductivity；
Magnetostrictive force on arbitrary area S can be obtained by magnetostrictive stress in the integral of area S:
Fms=∫SσmsdS。
In step s 4, magnetic field energy, mechanical energy and the electric current position energy for obtaining Amorphous Metal Motor, according to the electricity of amorphous core
The energy of the electromagnetic force acting of calculation of magnetic force Amorphous Metal Motor, calculates magneto-elasticity according to the magnetostrictive force of amorphous core
Can, and the energy and magnetoelastic energy computing system energy function to be done work according to magnetic field energy, mechanical energy, electric current position energy, electromagnetic force.
Specifically, using amorphous core body as research object, the energy of core system includes magnetic field energy, mechanical energy, electric current position
Energy, electromagnetic force acting and magnetoelastic energy, obtain system Functional expression formula.
Further, the specific steps of system capacity functional are obtained are as follows:
The system capacity function of the iron core electricity magnetic-mechanically system of Amorphous Metal Motor are as follows:
Wherein,Indicate magnetic field energy,Indicate mechanical energy,
For electric current position energy, Ω1、Ω2The analysis domain in magnetic field and structure field is respectively indicated, J is current phasor, and H is magnetic field strength, and σ is to answer
Power, Γ are domain Ω2Boundary, u be iron coring vibration displacement, FemAnd FmsElectromagnetic force and magnetostrictive force are respectively indicated, B is magnetic induction
Intensity, ε are strain, and A is by product surface, FemFor electromagnetic force, FmsFor magnetostrictive force.
In step s 5, extreme value is asked to obtain electricity about magnetic field and displacement variation system capacity function according to variation principle
Magnetic-structure Coupling kinetics equation, and establish electromagnetism-structure Coupling kinetic model.
Specifically, the function of many variables are converted for the variational problem of functional based on variation principle and seeks extreme-value problem, to magnetic field, position
It moves and carries out variation operation respectively, extremum conditions is taken according to functional, establishes electromagnetism-structure Coupling kinetic model, and provide electromagnetism
The boundary condition in domain and structural domain.
The function of many variables are converted by the functional variational problem of above formula based on variation principle and seek extreme-value problem, according to seeking extreme value item
The available complete electromagnetism-structure Coupling kinetic model of part:
In formula, P is magnetic stiffness matrix, and Q is mechanical stiffness matrix, and M is magnetic vector, and coupling terms O indicates mechanical oscillation
Influence to magnetic field, coupling terms C indicate influence of the magnetic field to vibration displacement, and u is iron coring vibration displacement, and J is current phasor, FemFor
Electromagnetic force, FmsFor magnetostrictive force.
As shown in figure 4, illustrate Amorphous Metal Motor electromagnetism-Coupling method process, the principle modeled as seen from the figure and
Process.
As shown in figure 5, solving to an Amorphous Metal Motor example, while utilizing COMSOL Multiphysics
Simulation software comparative analysis, the results showed that the two result goodness of fit is preferable, which can apply to the analysis of same problems.
The electromagnetism of the Amorphous Metal Motor proposed according to embodiments of the present invention-structure Coupling dynamic modeling method, passes through
Consider the electric and magnetic oscillation modeling that Amorphous Metal Motor magnetostrictive effect and electromagnetic force generate, discloses Amorphous Metal Motor electromagnetic vibration
Motivation reason, is of great significance to the R & D design of Amorphous Metal Motor.
Referring next to the electromagnetism-structure Coupling power for the Amorphous Metal Motor that attached drawing description proposes according to embodiments of the present invention
Learn modeling.
Fig. 6 is electromagnetism-structure Coupling Dynamic Modeling system according to the Amorphous Metal Motor of one embodiment of the invention
Structural schematic diagram.
As shown in fig. 6, the electromagnetism of the Amorphous Metal Motor-structure Coupling Dynamic Modeling system includes: acquisition module
100, the first computing module 200, the second computing module 300, third computing module 400 and modeling module 500.
Wherein, initial magnetic field distribution and malformation parameter that module 100 is used to obtain Amorphous Metal Motor are obtained.
First computing module 200 is used to calculate the non-of Amorphous Metal Motor according to initial magnetic field distribution and malformation parameter
The electromagnetic force of brilliant iron core.
Second computing module 300 is used to obtain the strain stress relation and magnetic induction intensity relationship of Amorphous Metal Motor, according to answering
Change relationship and magnetic induction intensity relationship calculate magnetostrictive force.
Third computing module 400 is used to obtain magnetic field energy, mechanical energy and the electric current position energy of Amorphous Metal Motor, according to amorphous
The electromagnetic force of iron core calculates the energy of the electromagnetic force acting of Amorphous Metal Motor, calculates magnetic according to the magnetostrictive force of amorphous core
Cause elasticity energy, and the energy and magnetoelastic energy computing system energy to do work according to magnetic field energy, mechanical energy, electric current position energy, electromagnetic force
Flow function.
Modeling module 500 is used to ask extreme value to obtain about magnetic field and displacement variation system capacity function according to variation principle
Electromagnetism-structure Coupling kinetics equation, and establish electromagnetism-structure Coupling kinetic model.
The modeling 10 considers Amorphous Metal Motor magnetostrictive effect and electromagnetic force, establishes Amorphous Metal Motor electricity
Magnetic-structure Coupling kinetic model discloses Amorphous Metal Motor electric and magnetic oscillation mechanism.
Further, in one embodiment of the invention, electromagnetic force is by comprehensive between the stator of Amorphous Metal Motor, rotor
Air-gap field caused by non-uniform gap generates, and calculation basis is maxwell equation group；
First computing module, is specifically used for,
If radial equivalent magnetostrictive strain is εr0(α, t) then integrates non-uniform gap length are as follows:
δc(α, t)=δ (α, t)-εr0(α,t)
Wherein, δ (α, t) is initial non-uniform gap；
The corresponding air-gap permeance of synthesis non-uniform gap and air gap flux density distribution are as follows:
B (α, t)=Λ (α, t) F (α, t)
Wherein, Λ (α, t) is air-gap permeance, and B (α, t) is air gap flux density distribution, and F (α, t) is air gap fundamental wave magnetomotive force, μ0
For space permeability；
According to the equation group of Maxwell's differential form, the Maxwell's stress tensor of rotor surface is on tangentially and radially
Component be respectively as follows:
In formula, n and τ are respectively indicated radially and tangentially；
It is integrated by surface, the expression formula of electromagnetic force are as follows:
Wherein, R is Amorphous Metal Motor rotor diameter, and L is Amorphous Metal Motor rotor length, and α is circulation integral angle.
Further, in one embodiment of the invention, the second computing module is specifically used for,
The strain stress relation and magnetic induction intensity relationship of Amorphous Metal Motor are as follows:
εms=σ/EH+dH
B=d σ+μσH
Magnetostrictive stress are as follows:
σms=D εms,
Wherein, D is the elasticity tensor of magnetostriction materials, εmsFor magnetostrictive strain, EHFor the elasticity under stationary magnetic field
Model, σ are applied stress, and d is pressure magnetic strain coefficient, and H is magnetic field strength, and B is magnetic induction intensity, μσFor under a constant
Magnetic conductivity；
Magnetostrictive force on arbitrary area S can be obtained by magnetostrictive stress in the integral of area S:
Fms=∫SσmsdS。
Further, in one embodiment of the invention, third computing module is specifically used for,
The system capacity function of the iron core electricity magnetic-mechanically system of Amorphous Metal Motor are as follows:
Wherein,Indicate magnetic field energy,Indicate mechanical energy,
For electric current position energy, Ω1、Ω2The analysis domain in magnetic field and structure field is respectively indicated, J is current phasor, and H is magnetic field strength, and σ is to answer
Power, Γ are domain Ω2Boundary, u be iron coring vibration displacement, FemAnd FmsElectromagnetic force and magnetostrictive force are respectively indicated, B is magnetic induction
Intensity, ε are strain, and A is by product surface, FemFor electromagnetic force, FmsFor magnetostrictive force.
Further, in one embodiment of the invention, electromagnetism-structure Coupling kinetic model are as follows:
Wherein, P is magnetic stiffness matrix, and Q is mechanical stiffness matrix, and M is magnetic vector, and coupling terms O indicates mechanical oscillation
Influence to magnetic field, coupling terms C indicate influence of the magnetic field to vibration displacement, and u is iron coring vibration displacement, and J is current phasor, FemFor
Electromagnetic force, FmsFor magnetostrictive force.
It should be noted that the aforementioned electromagnetism to Amorphous Metal Motor-structure Coupling dynamic modeling method embodiment
The device for being also applied for the embodiment is illustrated, details are not described herein again.
The electromagnetism of the Amorphous Metal Motor proposed according to embodiments of the present invention-structure Coupling Dynamic Modeling system, passes through
Consider the electric and magnetic oscillation modeling that Amorphous Metal Motor magnetostrictive effect and electromagnetic force generate, discloses Amorphous Metal Motor electromagnetic vibration
Motivation reason, is of great significance to the R & D design of Amorphous Metal Motor.
In addition, term " first ", " second " are used for descriptive purposes only and cannot be understood as indicating or suggesting relative importance
Or implicitly indicate the quantity of indicated technical characteristic.Define " first " as a result, the feature of " second " can be expressed or
Implicitly include at least one this feature.In the description of the present invention, the meaning of " plurality " is at least two, such as two, three
It is a etc., unless otherwise specifically defined.
In the description of this specification, reference term " one embodiment ", " some embodiments ", " example ", " specifically show
The description of example " or " some examples " etc. means specific features, structure, material or spy described in conjunction with this embodiment or example
Point is included at least one embodiment or example of the invention.In the present specification, schematic expression of the above terms are not
It must be directed to identical embodiment or example.Moreover, particular features, structures, materials, or characteristics described can be in office
It can be combined in any suitable manner in one or more embodiment or examples.In addition, without conflicting with each other, the skill of this field
Art personnel can tie the feature of different embodiments or examples described in this specification and different embodiments or examples
It closes and combines.
Although the embodiments of the present invention has been shown and described above, it is to be understood that above-described embodiment is example
Property, it is not considered as limiting the invention, those skilled in the art within the scope of the invention can be to above-mentioned
Embodiment is changed, modifies, replacement and variant.
Claims (10)
1. a kind of electromagnetism of Amorphous Metal Motor-structure Coupling dynamic modeling method, which comprises the following steps:
S1 obtains the initial magnetic field distribution and malformation parameter of Amorphous Metal Motor；
S2 calculates the electromagnetism of the amorphous core of the Amorphous Metal Motor according to initial magnetic field distribution and malformation parameter
Power；
S3 obtains the strain stress relation and magnetic induction intensity relationship of the Amorphous Metal Motor, according to the strain stress relation and magnetic strength
Strength relationship is answered to calculate magnetostrictive force；
S4 obtains magnetic field energy, mechanical energy and the electric current position energy of the Amorphous Metal Motor, according to the electromagnetic force of the amorphous core
The energy for calculating the electromagnetic force acting of the Amorphous Metal Motor, calculates magnetic according to the magnetostrictive force of the amorphous core
Cause elasticity can, and according to the magnetic field energy, the mechanical energy, the electric current position can, the energy and described of electromagnetic force acting
Magnetoelastic energy computing system energy function；
The system capacity function is asked extreme value to obtain electromagnetism-structure coupling by S5 according to variation principle about magnetic field and displacement variation
Kinetics equation is closed, and establishes electromagnetism-structure Coupling kinetic model.
2. the method according to claim 1, wherein
Electromagnetic force air-gap field as caused by non-uniform gap comprehensive between the stator of the Amorphous Metal Motor, rotor produces
Raw, calculation basis is maxwell equation group；
The S2 further comprises:
If radial equivalent magnetostrictive strain is εr0(α, t) then integrates non-uniform gap length are as follows:
δc(α, t)=δ (α, t)-εr0(α,t)
Wherein, δ (α, t) is initial non-uniform gap；
The corresponding air-gap permeance of synthesis non-uniform gap and air gap flux density distribution are as follows:
B (α, t)=Λ (α, t) F (α, t)
Wherein, Λ (α, t) is air-gap permeance, and B (α, t) is air gap flux density distribution, and F (α, t) is air gap fundamental wave magnetomotive force, μ0It is true
Empty magnetic conductivity；
According to the equation group of Maxwell's differential form, point of the Maxwell's stress tensor of rotor surface on tangentially and radially
Amount is respectively as follows:
In formula, n and τ are respectively indicated radially and tangentially；
It is integrated by surface, the expression formula of the electromagnetic force are as follows:
Wherein, R is Amorphous Metal Motor rotor diameter, and L is Amorphous Metal Motor rotor length, and α is circulation integral angle.
3. according to the method described in claim 2, it is characterized in that, the S3, further comprises:
The strain stress relation and magnetic induction intensity relationship of the Amorphous Metal Motor are as follows:
εms=σ/EH+dH
B=d σ+μσH
The magnetostrictive stress are as follows:
σms=D εms,
Wherein, D is the elasticity tensor of magnetostriction materials, εmsFor magnetostrictive strain, EHFor the elastic model under stationary magnetic field,
σ is applied stress, and d is pressure magnetic strain coefficient, and H is magnetic field strength, and B is magnetic induction intensity, μσFor magnetic conductance under a constant
Rate；
The magnetostrictive force on arbitrary area S can be obtained by the magnetostrictive stress in the integral of area S:
Fms=∫SσmsdS。
4. according to the method described in claim 3, it is characterized in that, the S4, comprising:
The system capacity function of the iron core electricity magnetic-mechanically system of the Amorphous Metal Motor are as follows:
Wherein,Indicate magnetic field energy,Indicate mechanical energy,For
Electric current position energy, Ω1、Ω2The analysis domain in magnetic field and structure field is respectively indicated, J is current phasor, and H is magnetic field strength, and σ is stress,
Γ is domain Ω2Boundary, u be iron coring vibration displacement, FemAnd FmsElectromagnetic force and magnetostrictive force are respectively indicated, B is that magnetic induction is strong
Degree, ε are strain, and A is by product surface, FemFor electromagnetic force, FmsFor magnetostrictive force.
5. according to the method described in claim 4, it is characterized in that, the electromagnetism-structure Coupling kinetic model are as follows:
Wherein, P is magnetic stiffness matrix, and Q is mechanical stiffness matrix, and M is magnetic vector, and coupling terms O indicates mechanical oscillation to magnetic
The influence of field, coupling terms C indicate influence of the magnetic field to vibration displacement, and u is iron coring vibration displacement, and J is current phasor, FemFor electromagnetism
Power, FmsFor magnetostrictive force.
6. a kind of electromagnetism of Amorphous Metal Motor-structure Coupling Dynamic Modeling system characterized by comprising
Module is obtained, the initial magnetic field for obtaining Amorphous Metal Motor is distributed and malformation parameter；
First computing module, for calculating the Amorphous Metal Motor according to initial magnetic field distribution and malformation parameter
The electromagnetic force of amorphous core；
Second computing module, for obtaining the strain stress relation and magnetic induction intensity relationship of the Amorphous Metal Motor, according to described
Strain stress relation and magnetic induction intensity relationship calculate magnetostrictive force；
Third computing module, for obtaining magnetic field energy, mechanical energy and the electric current position energy of the Amorphous Metal Motor, according to described non-
The electromagnetic force of brilliant iron core calculates the energy of the electromagnetic force acting of the Amorphous Metal Motor, according to the magnetic of the amorphous core
It causes contractility to calculate magnetoelastic energy, and is done according to the magnetic field energy, the mechanical energy, electric current position energy, the electromagnetic force
The energy of function and the magnetoelastic energy computing system energy function；
Modeling module, for asking extreme value to obtain electricity about magnetic field and displacement variation the system capacity function according to variation principle
Magnetic-structure Coupling kinetics equation, and establish electromagnetism-structure Coupling kinetic model.
7. system according to claim 6, which is characterized in that the electromagnetic force by the Amorphous Metal Motor stator,
Air-gap field caused by comprehensive non-uniform gap generates between rotor, and calculation basis is maxwell equation group；
First computing module, is specifically used for,
If radial equivalent magnetostrictive strain is εr0(α, t) then integrates non-uniform gap length are as follows:
δc(α, t)=δ (α, t)-εr0(α,t)
Wherein, δ (α, t) is initial non-uniform gap；
The corresponding air-gap permeance of synthesis non-uniform gap and air gap flux density distribution are as follows:
B (α, t)=Λ (α, t) F (α, t)
Wherein, Λ (α, t) is air-gap permeance, and B (α, t) is air gap flux density distribution, and F (α, t) is air gap fundamental wave magnetomotive force, μ0It is true
Empty magnetic conductivity；
According to the equation group of Maxwell's differential form, point of the Maxwell's stress tensor of rotor surface on tangentially and radially
Amount is respectively as follows:
In formula, n and τ are respectively indicated radially and tangentially；
It is integrated by surface, the expression formula of the electromagnetic force are as follows:
Wherein, R is Amorphous Metal Motor rotor diameter, and L is Amorphous Metal Motor rotor length, and α is circulation integral angle.
8. system according to claim 7, which is characterized in that second computing module is specifically used for,
The strain stress relation and magnetic induction intensity relationship of the Amorphous Metal Motor are as follows:
εms=σ/EH+dH
B=d σ+μσH
The magnetostrictive stress are as follows:
σms=D εms,
Wherein, D is the elasticity tensor of magnetostriction materials, εmsFor magnetostrictive strain, EHFor the elastic model under stationary magnetic field,
σ is applied stress, and d is pressure magnetic strain coefficient, and H is magnetic field strength, and B is magnetic induction intensity, μσFor magnetic conductance under a constant
Rate；
The magnetostrictive force on arbitrary area S can be obtained by the magnetostrictive stress in the integral of area S:
Fms=∫SσmsdS。
9. system according to claim 8, which is characterized in that the third computing module is specifically used for,
The system capacity function of the iron core electricity magnetic-mechanically system of the Amorphous Metal Motor are as follows:
Wherein,Indicate magnetic field energy,Indicate mechanical energy,For
Electric current position energy, Ω1、Ω2The analysis domain in magnetic field and structure field is respectively indicated, J is current phasor, and H is magnetic field strength, and σ is stress,
Γ is domain Ω2Boundary, u be iron coring vibration displacement, FemAnd FmsElectromagnetic force and magnetostrictive force are respectively indicated, B is that magnetic induction is strong
Degree, ε are strain, and A is by product surface, FemFor electromagnetic force, FmsFor magnetostrictive force.
10. system according to claim 9, which is characterized in that the electromagnetism-structure Coupling kinetic model are as follows:
Wherein, P is magnetic stiffness matrix, and Q is mechanical stiffness matrix, and M is magnetic vector, and coupling terms O indicates mechanical oscillation to magnetic
The influence of field, coupling terms C indicate influence of the magnetic field to vibration displacement, and u is iron coring vibration displacement, and J is current phasor, FemFor electromagnetism
Power, FmsFor magnetostrictive force.
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