CN106897507A - A kind of internal permanent magnet synchronous motor method for designing based on inductance analytic modell analytical model - Google Patents

Abstract

The invention discloses a kind of internal permanent magnet synchronous motor method for designing based on inductance analytic modell analytical model, including setting up motor model, analysis electric parameter and prototype fabrication with computer, the analysis electric parameter includes the inductance parameters of analysis motor, and the analysis method of the inductance parameters is：The magnetic potential of stator side and rotor-side is calculated respectively, then by two magnetic potential subtraction calculations air gap flux densities, each phase winding magnetic linkage is calculated further according to air gap flux density, finally by flux linkage calculation motor inductances.By using a kind of new motor inductances computation model in design of electrical motor link, shorten the time of motor electric parameters analysis in design link, there is provided the efficiency of design of electrical motor, accelerate motor research and development and manufacturing schedule.

Description

A kind of internal permanent magnet synchronous motor method for designing based on inductance analytic modell analytical model

Technical field

The present invention relates to motor device technical field, more particularly to a kind of built-in type permanent-magnet based on inductance analytic modell analytical model is same Step design of electrical motor method.

Background technology

At present, motor manufacturer develops to a motor, and using order form, i.e., client has the need of what type motor Ask, i.e., the motor to the type is designed, the exploitation of common a motor includes setting up on computers the 3D moulds of motor Type, the electric parameter to motor is analyzed, and last mockup simultaneously tests its performance in actual environment.Come for design of electrical motor Say, most important link is the especially analysis of motor inductances amount in the analysis of the electric parameter of motor, and this is analyzed Also very big time proportion is occupied in design of electrical motor.

The analysis method comparison of conventional motors inductance is ripe, mainly includes the first method of limit and magnetic equivalent circuit method.Wherein use The purpose of FInite Element is the influence of the cross-coupled pair inductance for considering magnetic circuit saturation and d-q axle magnetic circuits.Main method is first Inductance analytic modell analytical model is first set up, the parameter of saturation of d-q axle inductances is then extracted by finite element, both combine and carry out inductometer Calculate.It is overall time-consuming oversize although the degree of accuracy that can ensure to calculate to a certain extent using finite element method.For Magnetic Circuit Method Inductance is calculated, at present the modes for employing number of turn function and air gap permeance function, in fact, dividing from the angle of physical significance more Analysis, the inductance that conventional air-gap permeance function is not particularly suited for interior permanent magnet machines is calculated.For interior permanent magnet machines, d Axle magnetic line of force path is to pass perpendicularly through adjacent two-poled permanent magnets, and q axles path is to extend only through pole shoe parallel to permanent magnet surfaces.And Air-gap permeance theory then thinks that d axles and q axle magnetic circuits are each perpendicular to through permanent magnet.In motor inductances analysis, using finite element Method is again time-consuming oversize, and precision is not high again for the inductance value obtained using magnetic equivalent circuit method, in order to design the electricity of preferable electric property Machine, those skilled in the art are often expended huge fund and using FInite Element motor inductances are analyzed or once manufactured with many moneys Model machine obtains more accurate inductance parameters using external detection combination magnetic equivalent circuit method, and these modes are significant adverse to motor research and development Produced with motor.

The content of the invention

The purpose of the present invention is：A kind of design side of the internal permanent magnet synchronous motor based on inductance analytic modell analytical model is provided Method, is quickly designed motor by providing a kind of inductance computation model of simplicity, shortens the design of electrical motor cycle.

The present invention solve its technical problem solution be：A kind of built-in type permanent-magnet synchronization based on inductance analytic modell analytical model Design of electrical motor method, including set up motor model with computer, calculate electric parameter and prototype fabrication, the calculating electric parameter Inductance parameters including calculating motor, the computational methods of the inductance parameters are：The magnetic potential of stator side and rotor-side is calculated respectively, Then by two magnetic potential subtraction calculations air gap flux densities, each phase winding magnetic linkage is calculated further according to air gap flux density, finally by flux linkage calculation Motor inductances.

Used as optimization, it is F that the stator side magnetic potential calculates function identification_s(θ_r), the F_s(θ_r) include winding function and bear Current function is carried, the winding function is：

Wherein N_m=2Nk_wm/ (π * m), m=1,2,3 ...；k_wmIt is winding coefficient；P is number of pole-pairs；N is the number of turn that is often in series； Ω_rIt is specified mechanical angular speed；K is correction factor, and the expression formula such as formula of the K is：

Wherein T is the greatest common divisor of slot number and number of pole-pairs；H=0,1,2,3 ....

Used as optimization, the permanent magnet of motor is individual layer, multilayer or different shape.

The beneficial effects of the invention are as follows：By using a kind of new motor inductances computation model in design of electrical motor link, Shorten design link in motor electric parameters analysis time, improve design of electrical motor efficiency, accelerate motor research and development and produce into Degree.

Brief description of the drawings

Technical scheme in order to illustrate more clearly the embodiments of the present invention, below will be to that will make needed for embodiment description Accompanying drawing is briefly described.Obviously, described accompanying drawing is a part of embodiment of the invention, rather than whole implementations Example, those skilled in the art on the premise of not paying creative work, can also obtain other designs according to these accompanying drawings Scheme and accompanying drawing.

Fig. 1 is the flow chart of design of electrical motor；

Fig. 2 is one of the present invention 1/3 analysis model of 6 pole IPM synchronous motors；

Fig. 3 is the rotor magnetic pressure degraded analysis illustraton of model of embodiment of the present invention；

Fig. 4 is the rotor magnetic pressure drop distribution map of a pair of pole scopes of embodiment of the present invention；

Fig. 5 is the θ of embodiment of the present invention₀Stator magnetic potential Fs (θ r) at=0 °；

Fig. 6 is the θ of embodiment of the present invention₀Stator magnetic potential Fr (θ r) at=0 °；

Fig. 7 is the θ of embodiment of the present invention₀Air gap flux density Bg (θ r) at=0 °；

Fig. 8 is the θ of embodiment of the present invention₀Stator magnetic potential Fs (θ r) at=90 °；

Fig. 9 is the θ of embodiment of the present invention₀Stator magnetic potential Fr (θ r) at=90 °；

Figure 10 is the θ of embodiment of the present invention₀Air gap flux density Bg (θ r) at=90 °；

Figure 11 is the inductance Comparative result of embodiment of the present invention.

Specific embodiment

The technique effect of design of the invention, concrete structure and generation is carried out clearly below with reference to embodiment and accompanying drawing Chu, complete description, to be completely understood by the purpose of the present invention, feature and effect.

Embodiment 1, with reference to Fig. 1, a kind of internal permanent magnet synchronous motor method for designing based on inductance analytic modell analytical model, including Motor model being set up with computer, calculating electric parameter and prototype fabrication, the calculating electric parameter includes calculating the electricity of motor Sense parameter, the computational methods of the inductance parameters are illustrated with 1/3 analysis model of a 6 pole IPM synchronous motors：

Fig. 2 show 1/3 analysis model of 6 pole IPM synchronous motors, it is assumed that during initial time t=0, d axles and a phases Winding axis overlap, and winding function is as follows：

Labeled as formula 1.

Wherein N_m=2Nk_wm/ (π * m), m=1,2,3 ...；k_wmIt is winding coefficient；P is number of pole-pairs；N is the number of turn that is often in series； Ω_rIt is specified mechanical angular speed；K is correction factor, identical for ensureing stator and rotor magnetomotive force direction of rotation.For three-phase electricity Machine, the expression formula of K is as follows：

Labeled as formula 2.

Wherein T is the greatest common divisor of slot number and number of pole-pairs；H=0,1,2,3 ....

Threephase load current expression is as follows：

Labeled as formula 3.

Wherein I represents the amplitude of stator current.

The stator side produced by stator armature electric current synthesizes magnetomotive force F_s(θ_r) as follows：

F_s(θ_r)=n_a(θ_r)i_a+n_b(θ_r)i_b+n_c(θ_r)i_c

Labeled as formula 4.

Fig. 3 is to show rotor magnetic pressure degraded analysis illustraton of model, and wherein polar arc is 2 γ_b, permanent magnet magnetic bridge arc length is 2 γ_c.Turn Sub- magnetic potential is divided into three parts：Right side magnetic bridge (- γ_c,-γ_b), pole shoe (- γ_b, γ_b), and left side magnetic bridge (γ_b, γ_c).Although The magnetic conductance of both sides magnetic bridge is identical, but due to the difference of rotor-position so that two-part magnetic potential is simultaneously unequal, and amplitude is represented respectively It is F_b1、F_b2, the magnetic potential amplitude of pole shoe portion is expressed as F_r1.Two neighboring pole away from rotor magnetic potential distribution schematic diagram it is as shown in Figure 4.

Consider the influence of stator teeth notching, Carter's coefficient k can be introduced_cCalculate the effective air gap length of motor：

g_e=gk_c

Labeled as formula 5.

Wherein g is physical air gap length；g_eIt is effective air gap length.

By the magnetic flux of pole shoe portion_riEqual to integration of the air gap flux density in pole shoe scope area, while being also equal to The magnetic potential of pole shoe and the product of magnetic conductance.By the magnetic flux of both sides magnetic bridge part_biComputational methods be also identical.Therefore, It is represented by using computing formula, is designated as formula 6：

In, F_ri(t) and P_riRepresent the magnetic potential and magnetic conductance of each pole shoe；F_bi(t) and P_biRepresent the magnetic potential and magnetic at each magnetic bridge Lead；Arc range (θ_{i_init},θ_{i_fin}) then represent the starting point and terminal of pole shoe or magnetic bridge, and i=1,2,3 ...

In side magnetic bridge (γ_b, γ_c) in the range of, air gap and the total magnetic conductance sum P of magnetic bridge_g+bComputing formula be：

Labeled as formula 7

And (γ_b, γ_c) in the range of air-gap permeance P_gComputing formula be：

Labeled as formula 8.

Because air-gap permeance and magnetic bridge magnetic conductance are parallel relationship, therefore (γ_b, γ_c) in the range of magnetic bridge at magnetic conductance P_b1And (-γ_c,-γ_b) in the range of magnetic bridge at magnetic conductance P_b2Computing formula be：

Labeled as formula 9.

Pole shoe is in polar arc scope (- γ_b, γ_b) in magnetic conductance P_r1Can be calculated as：

Labeled as formula 10.

With reference to formula 6 and formula 10, the magnetic potential F of pole shoe can be tried to achieve_riThe expression formula of (t)：

Labeled as formula 11.

Wherein ξ_r1Represent：

Labeled as formula 12.

Similarly, bringing formula 9 into formula 5 can obtain left side magnetic bridge (γ_b, γ_c) magnetic potential F_b1T () expression formula is：

Labeled as formula 13.

Wherein ξ_b1Represent：

Labeled as formula 14.

Right side magnetic bridge (- γ_c,-γ_b) magnetic potential F_b2T () expression formula is：

Labeled as formula 15.

And have：

ξ_b2=ξ_b1

Labeled as formula 16.

Therefore, in a pair of poles (0,2 π/p), rotor magnetic potential F_r(θ_r) expression formula be：

Labeled as formula 17.

By Fourier transformation, formula 17 can be exchanged into：

F_r(θ_r)=∑ F_rn cos(nθ_r)

Labeled as formula 18.

Wherein, F_rnRepresent the amplitude of Fourier space each harmonic, n=1,2,3 ...

If the positive direction of reference system is stator to rotor, then the expression formula of air gap flux density is：

B_g(θ_r)=[F_s(θ_r)-F_r(θ_r)]·μ₀/g_e

Labeled as formula 19.

By taking A phase windings as an example, main magnetic linkage can be calculated as：

Labeled as formula 20.

Similarly calculate the magnetic linkage of B, C phase.By Park Transformation formula, the magnetic linkage that can be obtained under d-q axis coordinate systems is：

Labeled as formula 21.

Electric current under d-q axis coordinate systems is：

Labeled as formula 22.

Then the main inductance under d-q axis coordinate systems is：

Labeled as formula 23.

Therefore, d-q axles winding total inductance is represented by:

Labeled as formula 2-46.

Wherein, L_slIt is groove leakage inductance；L_elIt is end-winding leakage inductance；L_tlIt is tooth top leakage inductance.

The validity of model of the present invention is proved below by finite element software emulation and prototyping testing.

One interior permanent magnet machines model machine of the pole of 36 groove 6, air-gap diameter 152mm, effective axial length is 80mm, air gap Length 80mm, channel opening 3mm, the number of turn that is often in series 54, current effective value 10A, rated speed 2000rpm.For integer groove point Cloth winding, COEFFICIENT K is 1.Each pair pole is a symmetric periodic, therefore need to only calculate two magnetic potentials of pole.

Fig. 4-Figure 10 is respectively electric current initial angle θ₀=0 ° and θ₀At=90 °, 36 grooves 6 of analytic method and Finite element arithmetic The stator and rotor side magnetic potential and air gap flux density of pole motor.The Carter's coefficient k of the model_cIt is 1.103.As can be seen that two methods meter The result of d, q axle magnetic circuit of calculation is coincide very much.

Figure 11 show the d-q axle inductance curves of the pole model of 36 groove 6 that analytic method and Finite element arithmetic is respectively adopted.Two The average inductance value L of the d axles that method is calculated_dThe average inductance value difference 1.4% of difference 0.5%, q axles.Total inductance curve is also Closely.

Analytic method, the inductance L of the pole interior permanent magnet machines of 36 groove of Finite element arithmetic 6 is respectively adopted_d、L_q, and surveyed with model machine Test result is compared, as shown in table 1.

Different induction computational methods results contrast (pole of 36 groove 6)

Table 1

From the data in table 1, it can be seen that the d axle inductances L calculated using analytic method and FInite Element_dDifference 0.5%, q axle inductances L_q Difference 1.4%；Analysis result compared with prototyping testing, L_d7.3%, L of difference_qDifference 11.7%.

Better embodiment of the invention is illustrated above, but the invention is not limited to the implementation Example.

Claims (3)

1. a kind of internal permanent magnet synchronous motor method for designing based on inductance analytic modell analytical model, including set up motor mould with computer Type, analysis electric parameter and prototype fabrication, it is characterised in that：The analysis electric parameter includes the inductance parameters of analysis motor, The analysis method of the inductance parameters is：The magnetic potential of stator side and rotor-side is calculated respectively, then by two magnetic potential subtraction calculations gas Gap magnetic is close, each phase winding magnetic linkage is calculated further according to air gap flux density, finally by flux linkage calculation motor inductances.

2. a kind of internal permanent magnet synchronous motor method for designing based on inductance analytic modell analytical model according to claim 1, its It is characterised by：It is F that the stator side magnetic potential calculates function identification_s(θ_r), the F_s(θ_r) include winding function and load current letter Count, the winding function is：

$\left\{\begin{array}{c}{N}_a\left({\mathrm{\θ}}_r\right)=\underset{m}{\Σ}{N}_m\cos m({\mathrm{\θ}}_r+{\mathrm{\Ω}}_{r}t)\\ N_b\left({\mathrm{\θ}}_r\right)=\underset{m}{\Σ}{N}_m\cos m({\mathrm{\θ}}_r+{\mathrm{\Ω}}_{r}t-K\·2\mathrm{\π}/3)\\ N_c\left({\mathrm{\θ}}_r\right)=\underset{m}{\Σ}{N}_m\cos m({\mathrm{\θ}}_r+{\mathrm{\Ω}}_{r}t-K\·2\mathrm{\π}/3)\end{array}\right.$

Wherein N_m=2Nk_wm/ (π * m), m=1,2,3 ...；k_wmIt is winding coefficient；P is number of pole-pairs；N is the number of turn that is often in series；Ω_r It is specified mechanical angular speed；K is correction factor, and the expression formula such as formula of the K is：

$\left\{\begin{array}{cc}K=1,& \frac{p}{T}=3h+1.\\ K=-1,& \frac{p}{T}=3h-1.\end{array}\right.$

Wherein T is the greatest common divisor of slot number and number of pole-pairs；H=0,1,2,3 ....

3. a kind of internal permanent magnet synchronous motor based on inductance analytic modell analytical model according to any one of claim 1 or 2 sets Meter method, it is characterised in that：The permanent magnet of motor is individual layer, multilayer or different shape.