CN109713972A - A kind of permanent magnet synchronous motor magnetic linkage optimization method based on nonlinear dynamic analysis - Google Patents
A kind of permanent magnet synchronous motor magnetic linkage optimization method based on nonlinear dynamic analysis Download PDFInfo
- Publication number
- CN109713972A CN109713972A CN201811504369.0A CN201811504369A CN109713972A CN 109713972 A CN109713972 A CN 109713972A CN 201811504369 A CN201811504369 A CN 201811504369A CN 109713972 A CN109713972 A CN 109713972A
- Authority
- CN
- China
- Prior art keywords
- permanent magnet
- synchronous motor
- magnet synchronous
- formula
- magnetic linkage
- Prior art date
- Legal status (The legal status is an assumption and is not a legal conclusion. Google has not performed a legal analysis and makes no representation as to the accuracy of the status listed.)
- Granted
Links
Abstract
The invention discloses a kind of permanent magnet synchronous motor magnetic linkage optimization method based on nonlinear dynamic analysis, first, establish the mathematical model of permanent magnet synchronous motor, the mathematical model of permanent magnet synchronous motor is converted using affine transformation method, it is emulated later, determine permasyn morot magnetic linkage range, since permanent magnet synchronous motor mathematical model is stablized at equalization point after emulation, permasyn morot magnetic linkage range can be obtained, recycle matlab simulation software, the Lyapunov exponents of permanent magnet synchronous motor mathematical model after being emulated, permanent magnet synchronous motor magnetic linkage range can be further reduced；Permanent magnet synchronous motor mathematical model after emulating finally is built, at least five kinds of magnetic linkage values is chosen and is emulated, when magnetic flux density close to when being saturated, obtains the magnetic linkage value of optimal permanent magnet synchronous motor.Using this method when carrying out design of electrical motor, the magnetic linkage value at its best operating point can be obtained, design cost is reduced.
Description
Technical field
The invention belongs to nonlinear kinetics technical fields, and in particular to a kind of permanent magnetism based on nonlinear dynamic analysis
Synchronous motor magnetic linkage optimization method.
Background technique
Compared with other motors, the performance of permasyn morot is greatly improved, it has small in size, weight
Gently, the advantages that power factor is high, response is fast, high-efficient, output torque is big.Therefore, the reliability of permasyn morot is higher,
It is widely used to industry and performance application, including industrial drives and battery electric vehicle.In recent years, stability and reliable
The research of property causes the extensive concern of people, this is because the reliable and stable operation of permasyn morot is industrial automation
A major issue in production.It is existing studies have shown that under certain parameter and operating condition, permanent magnet synchronous motor is presented
Complicated dynamic characteristic out.The presence of some special dynamic behaviours will seriously affect the stabilization of permasyn morot operation
Property.Be mainly shown as the intermittent oscillation of torque and speed, the unstability of control performance, system irregular current noise, with
And abnormal electromechanical oscillations, this will cause motor greatly to damage.However, this phenomenon cannot rely on traditional Linear Control
Method suppresses or eliminates.Since current research field expands to time-varying system and nonlinear system from linear steady-state system
System, stability analysis become to become increasingly complex.If continuing to use linear analysis theoretical research these problems, not only low precision, and
And also eliminate substantive characteristics.Therefore, nonlinear theoretical analysis is more next as the basic theory of modern science and technology and engineering science
It is more important.Therefore, it is necessary to carry out beneficial discussion using mechanism of the Nonlinear dynamic behaviors to permasyn morot.
Permanent magnet synchronous motor is the synchronous motor that synchronous rotary magnetic field is generated using permanent magnet excitation, and performance is by permanent magnetism
The influence of body.In addition, the selection of permanent magnet will affect the cost of designing permanent-magnet synchronous motor.In the premise for realizing electrical performance indexes
Under, it scientifically and rationally designs magnet size and is very important, to reduce manufacturing cost, increase operation rate.Permanent magnetism is permanent magnetism
The key of synchronous motor.Some scholars design permanent magnet using intelligent optimization algorithm, improve the matter of whole design
Amount, but simultaneously there is also defect, the function that decides specific aims is extremely complex.Utilize non-thread Journal of Sex Research permanent magnet synchronous motor magnetic linkage
Optimization is seldom.
Summary of the invention
The object of the present invention is to provide a kind of permanent magnet synchronous motor magnetic linkage optimization method based on nonlinear dynamic analysis,
Suitable magnetic linkage value can be selected on the basis of ensuring the stability of permanent magnet synchronous motor.
The technical scheme adopted by the invention is that a kind of permanent magnet synchronous motor magnetic linkage based on nonlinear dynamic analysis is excellent
Change method, is specifically implemented according to the following steps:
Step 1, it is used to analyze using d-p coordinate system, i.e. stator and rotor synchronous rotary, establishes the number of permanent magnet synchronous motor
Model is learned, as shown in formula (1):
In formula (1), LqFor q axis stator inductance；R is stator winding resistance；iqFor q axis stator current；npFor number of pole-pairs；Ld
For d axis stator inductance, and Lq=Ld；ω is rotor velocity, unit rad/s；idFor d axis stator current；ψfFor permanent magnet magnetic
Chain, unit Wb； uqFor q axis stator voltage；udFor d axis stator voltage；J is rotary inertia, unit kgm2；B is damping
Coefficient, unit are Nm (rad/s)-1；TLFor torque, unit Nm；
Step 2, after step 1, the mathematical model of permanent magnet synchronous motor is converted using affine transformation method, such as formula
(6) shown in:
In formula (6),
Step 3, the mathematical model of the permanent magnet synchronous motor after conversion is emulated；
Step 4, permasyn morot magnetic linkage range is determined, specifically:
Step 4.1, its equalization point is obtained by permanent magnet synchronous motor mathematical model after solving emulation, as shown in formula (13)；
Step 4.2, after step 4.1, the corresponding Jacobian matrix and balance of equalization point can be obtained respectively by equalization point
Characteristic equation at point, as shown in formula (14) and formula (15)；
Step 4.2, after step 4.1, due to emulation after permanent magnet synchronous motor mathematical model in equalization point P1And P2Place is steady
Fixed, according to Routh-Hurwitz criterion, permanent magnet synchronous motor mathematical model must meet formula (16) after emulation；
Solution formula (16) can show that it solves x；
If 0 < θ≤x, obtaining permasyn morot magnetic linkage range by formula (16) isIf θ > x, by
Formula (16) obtains permasyn morot magnetic linkage range
Step 5, after step 4, using matlab simulation software, Lee of permanent magnet synchronous motor mathematical model after being emulated
Ya Punuofu exponential spectrum, according to Lyapunov theorem of stability it is found that when emulation after permanent magnet synchronous motor mathematical model three
A Liapunov exponent λ1、λ2And λ3When both less than 0, then it is stablized, and can further reduce permanent magnet synchronous motor magnetic linkage model
It encloses；
Step 6, permanent magnet synchronous motor mathematical model after emulating is built using electromagnetic software, is obtained in step 5
At least five kinds of magnetic linkage values are chosen in permanent magnet synchronous motor magnetic linkage range to be emulated, and magnetic flux density is obtained, it is close full to magnetic flux density
And when, obtain the magnetic linkage value of optimal permanent magnet synchronous motor.
The features of the present invention also characterized in that
In step 1, by the available corresponding equation of the mathematical model of permanent magnet synchronous motor, including voltage equation, magnetic linkage
Equation, torque equation and the equation of motion；
Voltage equation, as shown in formula (2):
In formula (2), ωeFor electric angle frequency；ψqFor q axis stator magnetic linkage；ψdFor d axis stator magnetic linkage；
Flux linkage equations, as shown in formula (3):
Torque equation, as shown in formula (4):
In formula (4), TeFor electromagnetic torque, unit Nm；
The equation of motion, as shown in formula (5):
In formula (5), B is magnetic flux density.
Step 2, specifically: set affine transformation form are as follows:Thus, it is possible to obtainIf another
One affine transformation form is3-D Dynamic system isAnd keep the mathematics of permanent magnet synchronous motor
The equalization point and stability of model；
Definition Λ, M and N are respectively as shown in formula (7) formula, (8) and formula (9):
Equation (7), (8) and (9) is brought into affine transformation formIn, obtain formula (10) and formula (11)；
It is based onAnd 3-D Dynamic systemPermanent magnetism after being converted is same
Walk the mathematical model of motor.
Step 3 specifically:
Step 3.1, it using the rudimentary model of ANSYS software design permanent magnet synchronous motor, and enablesIt will
Formula (6) is converted to permanent magnet synchronous motor mathematical model after emulation, as shown in formula (12)；
Step 3.2, according to the rudimentary model of permanent magnet synchronous motor, obtain the relevant parameter of permanent magnet synchronous motor: stator around
Group resistance R, magnetic logarithm nP, damped coefficient b and rotary inertia J, by formulaWithμ and θ is calculated.
The beneficial effects of the present invention are:
Using this method when carrying out design of electrical motor, the magnetic linkage value at its best operating point can be obtained, reduces and is designed to
This, in the utilization rate for ensuring to improve permanent magnet synchronous motor as far as possible under the premise of stability proud holding.
Detailed description of the invention
Fig. 1 is the 2D model of permanent magnet synchronous motor in the embodiment of the present invention；
Fig. 2 is the 3D model of permanent magnet synchronous motor in the embodiment of the present invention；
Fig. 3 is Lyapunov exponents in the embodiment of the present invention；
Fig. 4 is dynamics bifurcation graphs in the embodiment of the present invention；
Fig. 5 is magnetic flux density cloud atlas in the embodiment of the present invention；
Fig. 6 is magnetic linkage waveform diagram in the embodiment of the present invention.
Specific embodiment
The following describes the present invention in detail with reference to the accompanying drawings and specific embodiments.
A kind of permanent magnet synchronous motor magnetic linkage optimization method based on nonlinear dynamic analysis of the present invention, specifically according to following
Step is implemented:
Step 1, it is used to analyze using d-p coordinate system, i.e. stator and rotor synchronous rotary, establishes the number of permanent magnet synchronous motor
Model is learned, as shown in formula (1):
In formula (1), LqFor q axis stator inductance；R is stator winding resistance；iqFor q axis stator current；npFor number of pole-pairs；Ld
For d axis stator inductance, and Lq=Ld；ω is rotor velocity, unit rad/s；idFor d axis stator current；ψfFor permanent magnet magnetic
Chain, unit Wb； uqFor q axis stator voltage；udFor d axis stator voltage；J is rotary inertia, unit kgm2；B is damping
Coefficient, unit are Nm (rad/s)-1；TLFor torque, unit Nm；
By the available corresponding equation of the mathematical model of permanent magnet synchronous motor, including voltage equation, flux linkage equations, torque
Equation and the equation of motion；
Voltage equation, as shown in formula (2):
In formula (2), ωeFor electric angle frequency；ψqFor q axis stator magnetic linkage；ψdFor d axis stator magnetic linkage；
Flux linkage equations, as shown in formula (3):
Torque equation, as shown in formula (4):
In formula (4), TeFor electromagnetic torque, unit Nm；
The equation of motion, as shown in formula (5):
In formula (5), B is magnetic flux density；
Step 2, after step 1, the mathematical model of permanent magnet synchronous motor is converted using affine transformation method, such as formula
(6) shown in:
In formula (6),
Specifically: set affine transformation form are as follows:Thus, it is possible to obtain
If another affine transformation form is3-D Dynamic system isAnd keep permanent magnetism same
Walk the equalization point and stability of the mathematical model of motor；
Definition Λ, M and N are respectively as shown in formula (7) formula, (8) and formula (9):
Equation (7), (8) and (9) is brought into affine transformation formIn, obtain formula (10) and formula (11)；
It is based onAnd 3-D Dynamic systemPermanent magnetism after being converted is same
Walk the mathematical model of motor；
Step 3, the mathematical model of the permanent magnet synchronous motor after conversion is emulated；Specifically:
Step 3.1, it using the rudimentary model of ANSYS software design permanent magnet synchronous motor, and enablesIt will
Formula (6) is converted to permanent magnet synchronous motor mathematical model after emulation, as shown in formula (12)；
Step 3.2, according to the rudimentary model of permanent magnet synchronous motor, obtain the relevant parameter of permanent magnet synchronous motor: stator around
Group resistance R, magnetic logarithm nP, damped coefficient b and rotary inertia J, by formulaWithμ and θ is calculated；
Step 4, permasyn morot magnetic linkage range is determined, specifically:
Step 4.1, its equalization point is obtained by permanent magnet synchronous motor mathematical model after solving emulation, as shown in formula (13)；
Step 4.2, after step 4.1, the corresponding Jacobian matrix and balance of equalization point can be obtained respectively by equalization point
Characteristic equation at point, as shown in formula (14) and formula (15)；
Step 4.2, after step 4.1, due to emulation after permanent magnet synchronous motor mathematical model in equalization point P1And P2Place is steady
Fixed, according to Routh-Hurwitz criterion, permanent magnet synchronous motor mathematical model must meet formula (16) after emulation；
Solution formula (16) can show that it solves x；
If 0 < θ≤x, obtaining permasyn morot magnetic linkage range by formula (16) isIf θ > x, by
Formula (16) obtains permasyn morot magnetic linkage range
Step 5, after step 4, using matlab simulation software, Lee of permanent magnet synchronous motor mathematical model after being emulated
Ya Punuofu exponential spectrum, according to Lyapunov theorem of stability it is found that when emulation after permanent magnet synchronous motor mathematical model three
A Liapunov exponent λ1、λ2And λ3When both less than 0, then it is stablized, and can further reduce permanent magnet synchronous motor magnetic linkage model
It encloses；
Step 6, permanent-magnet synchronous after emulating is built using electromagnetic software ANSYSMaxwell (Version 14.5)
Motor mathematical model is chosen at least five kinds of magnetic linkage values in the permanent magnet synchronous motor magnetic linkage range that step 5 obtains and is emulated, obtained
The magnetic linkage value of optimal permanent magnet synchronous motor is obtained when magnetic flux density close to (B ≈ 1.6T) when being saturated to magnetic flux density.
Embodiment
A kind of permanent magnet synchronous motor magnetic linkage optimization method based on nonlinear dynamic analysis of the present invention, specifically according to following
Step is implemented:
Step 1, it is used to analyze using d-p coordinate system, i.e. stator and rotor synchronous rotary, establishes the number of permanent magnet synchronous motor
Model is learned, as shown in formula (1):
In formula (1), LqFor q axis stator inductance；R is stator winding resistance；iqFor q axis stator current；npFor number of pole-pairs；Ld
For d axis stator inductance, and Lq=Ld；ω is rotor velocity, unit rad/s；idFor d axis stator current；ψfFor permanent magnet magnetic
Chain, unit Wb； uqFor q axis stator voltage；udFor d axis stator voltage；J is rotary inertia, unit kgm2；B is damping
Coefficient, unit are Nm (rad/s)-1；TLFor torque, unit Nm；
By the available corresponding equation of the mathematical model of permanent magnet synchronous motor, including voltage equation, flux linkage equations, torque
Equation and the equation of motion；
Voltage equation, as shown in formula (2):
In formula (2), ωeFor electric angle frequency；ψqFor q axis stator magnetic linkage；ψdFor d axis stator magnetic linkage；
Flux linkage equations, as shown in formula (3):
Torque equation, as shown in formula (4):
In formula (4), TeFor electromagnetic torque, unit Nm；
The equation of motion, as shown in formula (5):
In formula (5), B is magnetic flux density；
Step 2, after step 1, the mathematical model of permanent magnet synchronous motor is converted using affine transformation method, such as formula
(6) shown in:
In formula (6),
Specifically: set affine transformation form are as follows:Thus, it is possible to obtain
If another affine transformation form is3-D Dynamic system isAnd keep permanent magnetism same
Walk the equalization point and stability of the mathematical model of motor；
Definition Λ, M and N are respectively as shown in formula (7) formula, (8) and formula (9):
Equation (7), (8) and (9) is brought into affine transformation formIn, obtain formula (10) and formula (11)；
It is based onAnd 3-D Dynamic systemPermanent magnetism after being converted is same
Walk the mathematical model of motor；
Step 3, the mathematical model of the permanent magnet synchronous motor after conversion is emulated；Specifically:
The rudimentary model for going out 30kW permanent magnet synchronous motor using ANSYS software design, as shown in formula (12), to obtain phase
The analysis parameter of pass, nominal parameter and key dimension are listed in table 1, in table 2, PMSM 2D and the 3D model of 30kW, such as Fig. 1 and Fig. 2
It is shown, by formulaWithμ and θ, μ=9.85, θ=3.97 are calculated；
1 30kW permasyn morot nominal parameter of table and size
2 permasyn morot circuit parameter of table
| Parameter | Numerical value |
| R | 5×10-2Ω |
| Lq | 3.6×10-5H |
| Ld | 3.6×10-5H |
| nP | 4 |
| b | 2.03×10-2N·m·s/rad |
| J | 8.06×10-2kg·m2 |
Step 4, permasyn morot magnetic linkage range is determined, specifically:
Step 4.1, its equalization point is obtained by permanent magnet synchronous motor mathematical model after solving emulation, as shown in formula (13)；
Step 4.2, after step 4.1, the corresponding Jacobian matrix and balance of equalization point can be obtained respectively by equalization point
Characteristic equation at point, as shown in formula (14) and formula (15)；
Step 4.2, after step 4.1, due to emulation after permanent magnet synchronous motor mathematical model in equalization point P1And P2Place is steady
Fixed, according to Routh-Hurwitz criterion, permanent magnet synchronous motor mathematical model must meet formula (16) after emulation；
Solution formula (16) can show that its solution is 3；If 0 < θ≤3,Therefore, ψf> 0.0829；If θ
> 3, thenTherefore, 0.0829 < ψf<0.4323；
Step 5, after step 4, using matlab simulation software, Lee of permanent magnet synchronous motor mathematical model after being emulated
Ya Punuofu exponential spectrum, as shown in figure 3, according to Lyapunov theorem of stability it is found that when emulation after permanent magnet synchronous motor number
Learn three Liapunov exponent λ of model1、λ2And λ3When both less than 0, then it is stablized, it is possible thereby to which it is same further to obtain permanent magnetism
Motor magnetic linkage stability range is walked, therefore, according to the Lyapunov exponents in Fig. 3, it can be deduced that draw a conclusion: as 0 < ψf<
When 0.334, when system keeps stable motion state；As 0.334 < ψfWhen, system is in after complicated question on power in shakiness
Determine state.In the case where system parameter variations, using the kinetic characteristics of fork map analysis nonlinear system.Fork is steady
Determine the main path for leading to chaos under state, bifurcation graphs variation is as shown in Figure 4, it is clear that, system dynamics bifurcation graphs and Li Yapu
The behavior of promise husband's exponential spectrum is identical, as 0 < ψfWhen < 0.334, when system keeps stable motion state, once it is more than this
A section, system begin to become unstable, meanwhile, with ψfIncrease, there is complicated dynamic behavior phenomenon.In order to
Make motor stable operation under optimum Working, needs to find the optimal value of magnetic linkage within this range；
Step 6, permanent-magnet synchronous after emulating is built using electromagnetic software ANSYSMaxwell (Version 14.5)
Motor mathematical model is chosen at least five kinds of magnetic linkage values in the permanent magnet synchronous motor magnetic linkage range that step 5 obtains and is emulated, obtained
The magnetic linkage value of optimal permanent magnet synchronous motor is obtained when magnetic flux density close to (B ≈ 1.6T) when being saturated to magnetic flux density；Fig. 5
And Fig. 6 shows and works as ψfThe cloud atlas of magnetic flux density when=0.3160Wb and the waveform of magnetic flux obtain B in this case
=1.6T, it means that the close saturation of magnetic flux density.Therefore, the saturation point of the magnetic flux density of each stator tooth and stator yoke is not
Continuously, i.e. magnetic function of the permanent magnet in best operating point, it means that motor material will maximize, and performance will be optimized.
Corresponding permanent magnet specification and size in optimum state, i.e. ψf=0.3160Wb.As shown in table 3, corresponding to turn
As shown in table 4 and table 5, table 6 is winding arrangement for subdata and sub-data.
3 permanent magnet specification of table and size
4 rotor data of table
| Parameter | Numerical value |
| Minimal air gap | 1.55mm |
| Internal diameter | 63mm |
| Rotor length | 310mm |
| Core factor | 0.95 |
| Iron core type | 50W600 |
| Arc radius | 67.15mm |
| Electronic pole embrace | 0.9 |
| Electrode plate | 0.899194 |
| Magnet maximum gauge | 6.6mm |
| Magnet width | 47.3268mm |
| Magnet types | N35SH |
| Rotor type | 2 |
5 sub-data of table
| Parameter | Numerical value |
| Number of stator slots | 36 |
| Stator outer diameter | 247.5mm |
| Diameter of stator bore | 140mm |
| Stator groove profile | 3 |
| Apical tooth width | 6.44mm |
| The bottom facewidth | 6.44mm |
| Stator core length | 310mm |
| Stator core stacks coefficient | 0.95 |
6 winding of table arrangement
Claims (4)
1. a kind of permanent magnet synchronous motor magnetic linkage optimization method based on nonlinear dynamic analysis, which is characterized in that specifically according to
Following steps are implemented:
Step 1, it is used to analyze using d-p coordinate system, i.e. stator and rotor synchronous rotary, establishes the mathematical modulo of permanent magnet synchronous motor
Type, as shown in formula (1):
In formula (1), LqFor q axis stator inductance；R is stator winding resistance；iqFor q axis stator current；npFor number of pole-pairs；LdFor d axis
Stator inductance, and Lq=Ld；ω is rotor velocity, unit rad/s；idFor d axis stator current；ψfIt is single for permanent magnet flux linkage
Position is Wb；uqFor q axis stator voltage；udFor d axis stator voltage；J is rotary inertia, unit kgm2；B is damped coefficient, single
Position is Nm (rad/s)-1；TLFor torque, unit Nm；
Step 2, after step 1, the mathematical model of permanent magnet synchronous motor is converted using affine transformation method, such as formula (6) institute
Show:
In formula (6),
Step 3, the mathematical model of the permanent magnet synchronous motor after conversion is emulated；
Step 4, permasyn morot magnetic linkage range is determined, specifically:
Step 4.1, its equalization point is obtained by permanent magnet synchronous motor mathematical model after solving emulation, as shown in formula (13)；
Step 4.2, after step 4.1, at corresponding Jacobian matrix and equalization point that equalization point can be obtained respectively by equalization point
Characteristic equation, as shown in formula (14) and formula (15)；
Step 4.2, after step 4.1, due to emulation after permanent magnet synchronous motor mathematical model in equalization point P1And P2Place stablizes, root
According to Routh-Hurwitz criterion, permanent magnet synchronous motor mathematical model must meet formula (16) after emulation；
Solution formula (16) can show that it solves x；
If 0 < θ≤x, obtaining permasyn morot magnetic linkage range by formula (16) isIf θ > x, by formula (16)
Obtaining permasyn morot magnetic linkage range is
Step 5, after step 4, using matlab simulation software, the Li Yapu of permanent magnet synchronous motor mathematical model after being emulated
Promise husband's exponential spectrum, according to Lyapunov theorem of stability it is found that when emulation after permanent magnet synchronous motor mathematical model three Lee
Ya Punuofu index λ1、λ2And λ3When both less than 0, then it is stablized, and can further reduce permanent magnet synchronous motor magnetic linkage range；
Step 6, permanent magnet synchronous motor mathematical model after emulating is built using electromagnetic software, in the permanent magnetism that step 5 obtains
At least five kinds of magnetic linkage values are chosen in synchronous motor magnetic linkage range to be emulated, magnetic flux density is obtained, to the close saturation of magnetic flux density
When, obtain the magnetic linkage value of optimal permanent magnet synchronous motor.
2. a kind of permanent magnet synchronous motor magnetic linkage optimization method based on nonlinear dynamic analysis according to claim 1,
It is characterized in that, in the step 1, by the available corresponding equation of the mathematical model of permanent magnet synchronous motor, including voltage side
Journey, flux linkage equations, torque equation and the equation of motion；
Voltage equation, as shown in formula (2):
In formula (2), ωeFor electric angle frequency；ψqFor q axis stator magnetic linkage；ψdFor d axis stator magnetic linkage；
Flux linkage equations, as shown in formula (3):
Torque equation, as shown in formula (4):
In formula (4), TeFor electromagnetic torque, unit Nm；
The equation of motion, as shown in formula (5):
In formula (5), B is magnetic flux density.
3. a kind of permanent magnet synchronous motor magnetic linkage optimization method based on nonlinear dynamic analysis according to claim 1,
It is characterized in that, the step 2, specifically: set affine transformation form are as follows:Thus, it is possible to obtain
If another affine transformation form is3-D Dynamic system isAnd keep permanent magnet synchronous motor
The equalization point and stability of mathematical model；
Definition Λ, M and N are respectively as shown in formula (7) formula, (8) and formula (9):
Equation (7), (8) and (9) is brought into affine transformation formIn, obtain formula (10) and formula (11)；
It is based onAnd 3-D Dynamic systemPermanent magnet synchronous electric after being converted
The mathematical model of machine.
4. a kind of permanent magnet synchronous motor magnetic linkage optimization method based on nonlinear dynamic analysis according to claim 1,
It is characterized in that, the step 3 specifically:
Step 3.1, it using the rudimentary model of ANSYS software design permanent magnet synchronous motor, and enablesBy formula (6)
Permanent magnet synchronous motor mathematical model after emulating is converted to, as shown in formula (12)；
Step 3.2, according to the rudimentary model of permanent magnet synchronous motor, the relevant parameter of permanent magnet synchronous motor: stator winding electricity is obtained
Hinder R, magnetic logarithm nP, damped coefficient b and rotary inertia J, by formulaWithμ and θ is calculated.
Priority Applications (1)
| Application Number | Priority Date | Filing Date | Title |
|---|---|---|---|
| CN201811504369.0A CN109713972B (en) | 2018-12-10 | 2018-12-10 | Permanent magnet synchronous motor flux linkage optimization method based on nonlinear dynamics analysis |
Applications Claiming Priority (1)
| Application Number | Priority Date | Filing Date | Title |
|---|---|---|---|
| CN201811504369.0A CN109713972B (en) | 2018-12-10 | 2018-12-10 | Permanent magnet synchronous motor flux linkage optimization method based on nonlinear dynamics analysis |
Publications (2)
| Publication Number | Publication Date |
|---|---|
| CN109713972A true CN109713972A (en) | 2019-05-03 |
| CN109713972B CN109713972B (en) | 2020-08-18 |
Family
ID=66255629
Family Applications (1)
| Application Number | Title | Priority Date | Filing Date |
|---|---|---|---|
| CN201811504369.0A Active CN109713972B (en) | 2018-12-10 | 2018-12-10 | Permanent magnet synchronous motor flux linkage optimization method based on nonlinear dynamics analysis |
Country Status (1)
| Country | Link |
|---|---|
| CN (1) | CN109713972B (en) |
Cited By (1)
| Publication number | Priority date | Publication date | Assignee | Title |
|---|---|---|---|---|
| CN111625983A (en) * | 2020-05-30 | 2020-09-04 | 哈尔滨工业大学 | Finite element simulation method containing nonlinear permanent magnet electromagnetic mechanism based on hysteresis model |
Citations (4)
| Publication number | Priority date | Publication date | Assignee | Title |
|---|---|---|---|---|
| US8829831B2 (en) * | 2011-10-12 | 2014-09-09 | Lsis Co., Ltd. | Parameter estimating apparatus for permanent magnet synchronous motor driving system |
| CN105471345A (en) * | 2015-11-23 | 2016-04-06 | 广东工业大学 | Brushless double-feed-motor chaotic analysis method based on largest Lyapunov exponent |
| CN103595328B (en) * | 2013-11-11 | 2016-05-11 | 中广核工程有限公司 | A kind of control method of permagnetic synchronous motor and system |
| CN108011554A (en) * | 2017-12-25 | 2018-05-08 | 成都信息工程大学 | The adaptive rotating-speed tracking control system of permanent magnet synchronous motor Speedless sensor and its design method |
-
2018
- 2018-12-10 CN CN201811504369.0A patent/CN109713972B/en active Active
Patent Citations (4)
| Publication number | Priority date | Publication date | Assignee | Title |
|---|---|---|---|---|
| US8829831B2 (en) * | 2011-10-12 | 2014-09-09 | Lsis Co., Ltd. | Parameter estimating apparatus for permanent magnet synchronous motor driving system |
| CN103595328B (en) * | 2013-11-11 | 2016-05-11 | 中广核工程有限公司 | A kind of control method of permagnetic synchronous motor and system |
| CN105471345A (en) * | 2015-11-23 | 2016-04-06 | 广东工业大学 | Brushless double-feed-motor chaotic analysis method based on largest Lyapunov exponent |
| CN108011554A (en) * | 2017-12-25 | 2018-05-08 | 成都信息工程大学 | The adaptive rotating-speed tracking control system of permanent magnet synchronous motor Speedless sensor and its design method |
Cited By (2)
| Publication number | Priority date | Publication date | Assignee | Title |
|---|---|---|---|---|
| CN111625983A (en) * | 2020-05-30 | 2020-09-04 | 哈尔滨工业大学 | Finite element simulation method containing nonlinear permanent magnet electromagnetic mechanism based on hysteresis model |
| CN111625983B (en) * | 2020-05-30 | 2022-07-15 | 哈尔滨工业大学 | Finite element simulation method containing nonlinear permanent magnet electromagnetic mechanism based on hysteresis model |
Also Published As
| Publication number | Publication date |
|---|---|
| CN109713972B (en) | 2020-08-18 |
Similar Documents
| Publication | Publication Date | Title |
|---|---|---|
| Yilmaz | Limitations/capabilities of electric machine technologies and modeling approaches for electric motor design and analysis in plug-in electric vehicle applications | |
| CN101103518B (en) | Method for controlling a wound rotor synchronous motor | |
| CN106026815A (en) | Field-weakening control method of axial magnetic field flux switching type hybrid permanent magnet memory motor | |
| CN103984864B (en) | A kind of surface-mounted permanent magnet machine magnetic field optimization method containing not uniform thickness magnetic pole | |
| Goss et al. | The design of AC permanent magnet motors for electric vehicles: A design methodology | |
| CN103269199B (en) | Electric car induction motor torque current setting device | |
| Shi et al. | Design optimisation of an outer‐rotor permanent magnet synchronous hub motor for a low‐speed campus patrol EV | |
| CN108063569A (en) | A kind of fast solution method of magneto optimal working point | |
| CN107508518A (en) | A kind of Auto-disturbance-rejection Control for flywheel energy storage system | |
| An et al. | Calculation model of armature reaction magnetic field of interior permanent magnet synchronous motor with segmented skewed poles | |
| CN103117692B (en) | Control method of mechanical elastic energy storing permanent magnet motor group under various external disturbances | |
| CN109713972A (en) | A kind of permanent magnet synchronous motor magnetic linkage optimization method based on nonlinear dynamic analysis | |
| Dogan et al. | Application of speed control of permanent magnet synchronous machine with PID and fuzzy logic controller | |
| CN109302039A (en) | Permanent magnetism assists Reluctance synchronous linear electric generator and its control method | |
| CN105718654A (en) | Permanent magnet shape designing method of permanent magnet synchronous linear motor | |
| CN103236769A (en) | Method for optimizing key parameters of bearingless permanent magnet motor | |
| Song et al. | Review on control of permanent magnet brushless DC motor for electric vehicle | |
| CN108923707A (en) | Control method, system, device and the readable storage medium storing program for executing of double feedback electric engine system | |
| Sheela et al. | Investigation on PMSM for electric vehicle applications using co-simulation of MATLAB and magnet software | |
| Xu et al. | Detent Force Analysis and Optimization for Vertical Permanent-magnet Linear Synchronous Motor with Fractional-slot Windings. | |
| CN104104298A (en) | Cogging force suppression method for flux-switching linear motor | |
| Qu et al. | Calculation and simulation analysis on starting performance of the high-voltage line-start PMSM | |
| Niu et al. | The optimal design and research of interior permanent magnet synchronous motors for electric vehicle applications | |
| CN206894472U (en) | Non-homogeneous sectional type permanent magnet linear synchronous motor excitation topological structure | |
| Han et al. | A Novel 24/15 pole Bearingless Switched Reluctance Motor and Sensorless Speed Control |
Legal Events
| Date | Code | Title | Description |
|---|---|---|---|
| PB01 | Publication | ||
| PB01 | Publication | ||
| SE01 | Entry into force of request for substantive examination | ||
| SE01 | Entry into force of request for substantive examination | ||
| GR01 | Patent grant | ||
| GR01 | Patent grant |