CN109948234A - A kind of equivalent model method for building up of large turbo-type generator stator end bar structure - Google Patents
A kind of equivalent model method for building up of large turbo-type generator stator end bar structure Download PDFInfo
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- CN109948234A CN109948234A CN201910195825.6A CN201910195825A CN109948234A CN 109948234 A CN109948234 A CN 109948234A CN 201910195825 A CN201910195825 A CN 201910195825A CN 109948234 A CN109948234 A CN 109948234A
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Abstract
The invention discloses a kind of equivalent model method for building up of large turbo-type generator stator end bar structure, comprising the following steps: step S1: using three point bending test survey bar bending stiffness；Step S2: solid modelling is carried out to bar result；Step S3: physical model progress Boolean calculation is obtained into the geometrical model of bar；Step S4: the equivalent method of bar is studied；Step S5: verifying the correctness of equivalent method, no to then follow the steps S4 if correctly, executing subsequent step；Step S6: the equivalent model of bar structure is obtained.Optimization design of the present invention using the advantage of finite element analysis for bar structure provides reference scheme, solves the problems, such as that the reasonable effective equivalent method of bar modeling process complexity, shortage carries out modeling simplified in the prior art.
Description
Technical field
The present invention relates to mechanical and mechanics fields to be more specifically related to a kind of large turbo-type generator stator end line
The equivalent model method for building up of stick structure.
Background technique
The vibration problem that Turbo-generator Set occurs in the process of running to the service life of steam turbine generator there may be
Adverse effect.For generator in rated load operation, Stator End Winding is mainly by two kinds of alternate load effects.It is most important
Alternating load is that the electromagnetic force of 50Hz is twice in caused by the interaction of the electric current and brow leakage field in winding, another
It is that elliptical vibration caused by rotor magnetic pull is born in stator core.The End winding of large turbo-type generator is one group of huge load
Current conductor, this current-carrying conductor will generate very big electromagnetic force in end regions electromagnetic field environment when normal operation.If its
It resonates under the excitation of twice of power frequency electric magnetic force, then End winding can generate serious consequence.Therefore it was designed in generator
Cheng Zhong, it is desirable to stator winding end structural natural frequencies avoid twice of working frequency as far as possible, in order to avoid there is big vibration.And
When three-phase shortcircuit accident occurs for generator, electromagnetic force can reach the decades of times of specified operation.Generator end winding
Occur that big vibration will lead to binding strap and vital insulating layer is worn and even destroys under the action of electromagnetic force,
Its consequence will be very serious, lead to very huge economic loss.Therefore the rational design of the End winding structure of steam turbine generator, it is right
Its safe operation is most important.
Stator winding is made of the insulation bar line stick in insertion core slots, and winding overhang is basket fabric, and by even
Wiring connects into defined facies tract group.Since stator winding is in high voltage, high current working condition, by electricity, heat, mechanical force
Effect and varying environment condition influence, its reliability and service life be particularly important.
Bar is component most complicated in End winding structure.On the one hand, with space involute shape, modeling process
It is more complex；On the other hand, cross-sectional configuration is complicated, there is cooling water hole and insulating materials etc..It will be in End winding global finite element
All details that bar is considered in model, are limited by computer hardware condition, also relatively difficult at present, need to be using reasonable equivalent
Method simplifies it.
Summary of the invention
It is an object of the invention to overcome the deficiencies of the prior art and provide a kind of large turbo-type generator stator end bars
The equivalent model method for building up of structure, to solve, bar modeling process in the prior art is complicated, lacks the efficacious prescriptions such as rationally effective
Method carries out simplified problem to modeling.
The object of the present invention is achieved like this:
A kind of equivalent model method for building up of large turbo-type generator stator end bar structure, comprising the following steps:
Step S1: using three point bending test survey bar bending stiffness；
Step S2: solid modelling is carried out to bar result；
Step S3: physical model progress Boolean calculation is obtained into the geometrical model of bar；
Step S4: the equivalent method of bar is studied；
Step S5: verifying the correctness of equivalent method, no to then follow the steps S4 if correctly, executing subsequent step；
Step S6: the equivalent model of bar structure is obtained.
Further, in the step S1 bar acquisition process are as follows: the Stator End Winding is at least provided with two layer lines
Stick, the production of every winding bar are to fill and lead up gap and hot pressing gelatinization at one with filler for after the insulation of programmed strand copper wire
Body, wherein copper conductor includes solid and hollow core conductor, and outer surface is wrapped up with insulating tape, is pressed into required size.
Further, the detailed process of the step S2 are as follows:
(1) threedimensional model of bar is established in Pro/E, the shape of bar is the involute being unfolded along the conical surface；
(2) for the coordinate origin given using system as vertex, x-axis forward direction is the conical surface that axis makees that an inclination angle is α,
Wherein α is that bar end is distributed in the inclination angle on conical surface；
(3) space involute equation is established according to the basic circle size r of bar end involute part and angle of inclination beta, thus given birth to
At the space involute on conical surface；
(4) above-mentioned equation is projected to and is parallel to conical surface end face and crosses in the plane on conical surface vertex, according to bar expanded view
In involute starting and final position choose representative point respectively and obtain the curve of end turn；
(5) projecting function is utilized, the straightway connecting with involute and transition circle segmental arc is made, finally obtains complete sky
Half interval contour；
(6) solid bar model is made according to the cross-sectional shape size of bar, further according to the hollow area size of copper conductor,
Make its corresponding physical model.
Further, the space involute equation specifically:
R=r
β=α °
Theta=t*270
ρ=R*sqrt (1+ (theta*pi/180) ^2)
φ=theta-atan (theta*pi/180)
X=ρ * cos (β)
Y=ρ * sin (β) * sin (φ/sin (β))
Z=ρ * sin (β) * cos (φ/sin (β))
Wherein: r is base radius, and R is the radius that line occurs, and t is the time, and 270 be the revolving speed that line occurs, and ρ is involute
Radius, β is inclination angle, and α is conical surface inclination angle,
Φ is the angle between fixed point and circle center line connecting and x-axis
X, y, z are the three-dimensional coordinate of fixed point on involute respectively
Further, in the step S4 bar equivalent method detailed process are as follows:
(1) practical bar is replaced with solid equivalent bar, it is desirable that equivalent bar is equal with practical bar quality, height and width
The bending stiffness for spending both direction is equal；
(2) bending stiffness of a wherein layer line stick is measured by three point bending test, it is assumed that the width in bar equivalent model section
Degree and height are respectively a and b, and the representative section size of equivalent bar is calculated by following formula
Wherein: E is equivalent elastic modulus, according to the elastic mould value of 600MW turbine generator stator end bar material,
Take E=4 × 104MPa
EIx is the bending stiffness that practical bar measures in the X direction
EIyThe bending stiffness measured in the Y direction for practical bar
(3) wherein one layer of bar sample is taken, its size is measured and claims its quality, is calculated according to the sectional dimension of equivalent bar
Obtain the density of equivalent bar.
Further, the detailed process of the step S5 are as follows: establish the equivalent bar model of solid rectangular cross-section, use is limited
First method carries out numerical simulation to the three point bending test of equivalent bar straightway, the equivalent bar three-point bending that simulation is obtained
Amount of deflection is compared with practical bar three point bending test measured result, to verify the correctness of equivalent stiffness.
By adopting the above-described technical solution, the invention has the following beneficial effects: by establishing generator stator end
The equivalent model method of bar structure, on the basis of the solid modelling of bar structure and Geometric Modeling, in conjunction with finite element fraction
Analysis, determines the equivalent method of bar structure, and by comparing with measured value, the correctness of equivalent model method is established in verifying,
Optimization design of the present invention using the advantage of finite element analysis for bar structure provides reference scheme, solves in the prior art
Bar modeling process is complicated, lacks rationally effective equivalent method carries out simplified problem to modeling.
Detailed description of the invention
Fig. 1 (a) is bar Three Points Bending Specimen structural schematic diagram；
Fig. 1 (b) is practical bar cross-sectional configuration schematic diagram；
Fig. 2 (a) is the expansion of top bar end and sectional view；
Fig. 2 (b) is the expansion of lower bar end and sectional view；
Fig. 3 (a) is the solid bar illustraton of model of top bar；
Fig. 3 (b) conducting wire hollow area physical model figure；
Fig. 4 is top bar geometrical model figure；
Fig. 5 is equivalent bar cross sectional shape figure；
Fig. 6 (a) is equivalent bar three point bending test short transverse stress model figure；
Fig. 6 (b) is equivalent bar three point bending test width direction stress model figure；
Fig. 7 (a) is equivalent bar three point bending test finite element model figure；
Fig. 7 (b) is equivalent bar three point bending test bending deformation figure；
Fig. 8 is the equivalent model figure of bar end；
Fig. 9 is the equivalent model method for building up for the large turbo-type generator stator end bar structure implemented according to the present invention
Flow chart.
Appended drawing reference
In attached drawing, 1 is bar, and 11 be top bar, and 12 be lower bar, and 2 be hollow copper conductor, and 3 be solid copper conductor
Specific embodiment
The embodiment of the present invention is described in further detail with reference to the accompanying drawing.
Referring to Fig. 1-Fig. 9, a kind of reality of the equivalent model method for building up of large turbo-type generator stator end bar structure
Apply example, comprising the following steps:
Step S1: using three point bending test survey bar 1 bending stiffness；
In the present embodiment, by taking the second level three-phase synchronous steam turbine generator of 600MW as an example, stator winding has two layers of bar,
Upper and lower layer line stick 11,12 has a bit of straightway after stretching out in stator coring groove, presses involute in form in opposite direction later
Netted conical shell structure is transformed into, this design ensure that the equidistance between raising, pitch and two adjacent windings of bar end,
To guarantee that current strength is equal and uniform reliable ventilating and cooling condition.In nose, the corresponding winding bar welding of upper and lower layer
Together, the production of every winding bar is to fill and lead up gap and hot pressing gelatinization with filler for after the insulation of programmed strand copper wire
Integral, wherein copper conductor includes solid copper conductor 3 and hollow copper conductor 2, and outer surface is wrapped up with insulating tape, is pressed into and is wanted
The size asked, shown in practical bar cross-sectional configuration such as Fig. 1 (b), upper and lower layer line stick 11,12 ends are unfolded and its transversal along the conical surface
Shown in surface construction such as Fig. 2 (a), Fig. 2 (b).
Step S2: solid modelling is carried out to 1 result of bar；
In the present embodiment, the establishment process of bar physical model is illustrated by taking top bar 11 as an example.
(1) shape of bar is that the involute being unfolded along the conical surface is built in Pro/E shown in two-dimensional development such as Fig. 2 (a)
The process for founding its threedimensional model is as follows:
(2) it is distributed across on the conical surface with 10 ° of inclination angles because of the end of top bar 11, therefore first should be with system
Given coordinate origin is vertex, and x-axis forward direction is the conical surface that axis makees that an inclination angle is 10 °；
(3) space involute equation is established according to the basic circle size r of 11 end involute part of top bar and inclination angle:
R=r
β=10 °
Theta=t*270
ρ=R*sqrt (1+ (theta*pi/180) ^2)
φ=theta-atan (theta*pi/180)
X=ρ * cos (β)
Y=ρ * sin (β) * sin (φ/sin (β))
Z=ρ * sin (β) * cos (φ/sin (β))
Wherein: r base radius, R are the radiuses that line occurs, and t is the time, and 270 be the revolving speed (unit: r/S or r/ that line occurs
Min), ρ is the radius of involute, and β is inclination angle,
Φ is the angle between fixed point and circle center line connecting and x-axis
X, y, z are the three-dimensional coordinate of fixed point on involute respectively
Thus the space involute on conical surface is produced；
(4) above-mentioned equation is projected to and is parallel to conical surface end face and crosses in the plane on conical surface vertex, according to bar expanded view
In involute starting and final position choose representative point respectively and obtain the curve of end turn；
(5) projecting function is utilized, the straightway connecting with involute and transition circle segmental arc is made, finally obtains complete sky
Half interval contour；
(6) solid bar model is made according to the cross-sectional shape size of bar 1, further according to the hollow area ruler of copper conductor
It is very little, make its corresponding physical model.Conducting wire shown in the solid model and Fig. 3 (b) of the top bar as shown in Fig. 3 (a) is empty
Heart district domain physical model.
Step S3: physical model progress Boolean calculation is obtained into the geometrical model of bar 1；Top bar as shown in Figure 4
The 11 geometrical model figures formed.
Step S4: the equivalent method of research bar 1；
In the present embodiment, if considering, all details of bar 1 establish finite element model, due to wherein hollow structure and absolutely
The presence of edge layer, every bar all need to divide a large amount of units, and altogether include 84 bars, model meshes number in entire End winding
Amount is too many, and calculation scale is excessively huge, thus equivalent it is necessary to carry out to it, reduces calculation scale.
For these reasons, practical bar can be replaced with a solid equivalent bar.Either End winding occurs of interest
Oval mode, or by the deformation under electromagnetic force in generator operation, bar is all mainly shown as that bending becomes
Shape, therefore when carrying out equivalent to bar 1, other than requiring the quality between equivalent model and practical bar equal, it should also make it
Height is equal with the bending stiffness of width both direction, and the quality of equivalent bar and practical bar is equivalent can be by modifying its density
It realizes.
By taking lower bar 12 as an example, illustrate the equivalent process of bar.The lower bar 12 measured by three point bending test resists
Curved rigidity is as shown in table 1, it is assumed that the width and height in bar equivalent model section are respectively a and b, as shown in Figure 5.
1 lower bar bending stiffness measured result of table
Keep the bending stiffness of equivalent bar identical as measured result, i.e.,
Wherein: E is equivalent elastic modulus,
EIx is the bending stiffness that practical bar measures in the X direction
EIyThere are 3 unknown quantitys for the above-mentioned two equation of bending stiffness that practical bar measures in the Y direction, it will be assumed that one
The value of equivalent elastic modulus E, as long as the representative section size a, b that calculate and actual size are closer to, according to
The elastic mould value of 600MW turbine generator stator end bar material, takes E=4 × 104MPa
By calculating, a=39.27mm, b=58.07mm are obtained, it is seen that the reality of representative section size and lower bar 12
Sectional dimension 38.86mm × 62.34mm is close, and can guarantee that its rigidity is identical as the rigidity of practical bar.
Similarly, the representative section of top bar 11 can be obtained having a size of 39.00mm × 67.64mm, with practical upper layer
Sectional dimension 38.86mm × 69.83mm of bar is not much different.
Other than the rigidity of equivalent bar is identical as practical structures, also require the quality of the two equal.Take one section of lower layer line
Stick 12 is used as sample, measures its size and claims its quality, equivalent line can be calculated according to the sectional dimension of equivalent bar
The density of stick.
Step S5: verifying the correctness of equivalent method, no to then follow the steps S4 if correctly, executing subsequent step.
Numerical simulation is carried out using three point bending test of the finite element method to equivalent bar straightway, simulation is obtained
Equivalent bar three-point bending amount of deflection is compared with practical bar three point bending test measured result, to verify equivalent stiffness just
True property.
When practical operation, the equivalent bar model of solid rectangular cross-section that length is 600mm is established, as shown in fig. 6, its is equivalent
Listed in material parameter such as table 2, finite element model and the bending deformation being calculated are as shown in Figure 7.
2 equivalent line bar material parameter of table
The equivalent bar three-point bending amount of deflection and practical bar three point bending test obtained by finite element method for simulating is surveyed
As a result listed in comparison such as table 3, it is seen then that be connect very much using the deflection value that equivalent bar is calculated with practical bar measured value
Closely, illustrate in this way bar to be carried out equivalent being that reasonably, can be used in the model analysis of End winding.
The equivalent bar three-point bending amount of deflection numerical simulation of table 3 is compared with practical bar measured value
Step S6: the equivalent model of 1 structure of bar is obtained.
The present invention utilizes the advantage of finite element analysis, and the optimization design for generator stator bar structure provides reference side
Case, solving stator structure modeling process complexity, shortage in the prior art, rationally effective equivalent method simplifies modeling
The problem of.
Finally, it is stated that preferred embodiment above is only used to illustrate the technical scheme of the present invention and not to limit it, although logical
It crosses above preferred embodiment the present invention is described in detail, however, those skilled in the art should understand that, can be
Various changes are made to it in form and in details, without departing from claims of the present invention limited range.
Claims (6)
1. a kind of equivalent model method for building up of large turbo-type generator stator end bar structure, which is characterized in that including with
Lower step:
Step S1: using three point bending test survey bar bending stiffness；
Step S2: solid modelling is carried out to bar result；
Step S3: physical model progress Boolean calculation is obtained into the geometrical model of bar；
Step S4: the equivalent method of bar is studied；
Step S5: verifying the correctness of equivalent method, no to then follow the steps S4 if correctly, executing subsequent step；
Step S6: the equivalent model of bar structure is obtained.
2. a kind of equivalent model foundation side of large turbo-type generator stator end bar structure according to claim 1
Method, it is characterised in that: the acquisition process of bar in the step S1 are as follows: the Stator End Winding at least provided with two layers of bar,
The production of every winding bar is to fill and lead up gap by after the insulation of programmed strand copper wire with filler and hot pressing gelatinization is integral,
Wherein copper conductor includes solid and hollow core conductor, and outer surface is wrapped up with insulating tape, is pressed into required size.
3. a kind of equivalent model foundation side of large turbo-type generator stator end bar structure according to claim 1
Method, it is characterised in that: the detailed process of the step S2 are as follows:
(1) threedimensional model of bar is established in Pro/E, the shape of bar is the involute being unfolded along the conical surface；
(2) for the coordinate origin given using system as vertex, x-axis forward direction is the conical surface that axis makees that an inclination angle is α, wherein
α is that bar end is distributed in the inclination angle on conical surface；
(3) space involute equation is established according to the basic circle size r of bar end involute part and angle of inclination beta, thus generated
Space involute on conical surface；
(4) above-mentioned equation is projected to and is parallel to conical surface end face and crosses in the plane on conical surface vertex, according in bar expanded view
Involute starting and final position choose representative point respectively and obtain the curve of end turn；
(5) projecting function is utilized, the straightway connecting with involute and transition circle segmental arc are made, it is bent to finally obtain complete space
Line；
(6) solid bar model is made according to the cross-sectional shape size of bar, further according to the hollow area size of copper conductor, made
Its corresponding physical model.
4. a kind of equivalent model foundation side of large turbo-type generator stator end bar structure according to claim 3
Method, it is characterised in that: the space involute equation specifically:
R=r
β=α °
Theta=t*270
ρ=R*sqrt (1+ (theta*pi/180) ^2)
φ=theta-atan (theta*pi/180)
X=ρ * cos (β)
Y=ρ * sin (β) * sin (φ/sin (β))
Z=ρ * sin (β) * cos (φ/sin (β))
Wherein: r is base radius, and R is the radius that line occurs, and t is the time, and 270 be the revolving speed that line occurs, and ρ is the half of involute
Diameter, β are inclination angles, and α is conical surface inclination angle, and Φ is that the angle x, y, z between fixed point and circle center line connecting and x-axis are on involute respectively
The three-dimensional coordinate of fixed point.
5. a kind of equivalent model foundation side of large turbo-type generator stator end bar structure according to claim 2
Method, it is characterised in that: the equivalent method detailed process of bar in the step S4 are as follows:
(1) replace practical bar with solid equivalent bar, it is desirable that equivalent bar is equal with practical bar quality, highly with width two
The bending stiffness in a direction is equal；
(2) bending stiffness of a wherein layer line stick is measured by three point bending test, it is assumed that the width in bar equivalent model section and
Height is respectively a and b, and the representative section size of equivalent bar is calculated by following formula
Wherein: E is equivalent elastic modulus, according to the elastic mould value of 600MW turbine generator stator end bar material, takes E
=4 × 104MPa
EIx is the bending stiffness that practical bar measures in the X direction
EIyThe bending stiffness measured in the Y direction for practical bar
(3) wherein one layer of bar sample is taken, its size is measured and claims its quality, is calculated according to the sectional dimension of equivalent bar
The density of equivalent bar.
6. a kind of equivalent model foundation side of large turbo-type generator stator end bar structure according to claim 5
Method, it is characterised in that: the detailed process of the step S5 are as follows: the equivalent bar model of solid rectangular cross-section is established, using finite element
Method carries out numerical simulation to the three point bending test of equivalent bar straightway, and the equivalent bar three-point bending that simulation obtains is scratched
Degree is compared with practical bar three point bending test measured result, to verify the correctness of equivalent stiffness.
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| Publication number | Priority date | Publication date | Assignee | Title |
|---|---|---|---|---|
| CN111368436A (en) * | 2020-03-06 | 2020-07-03 | 重庆邮电大学 | Time domain modeling analysis method for electromagnetic coupling effect of bent line on conducting plate |
| CN112025760A (en) * | 2020-09-01 | 2020-12-04 | 重庆邮电大学 | Electromagnetic driving mechanical joint |
| CN112781816A (en) * | 2021-01-22 | 2021-05-11 | 华北电力大学（保定） | Device and method for analyzing forced vibration coupling characteristic of stator winding system |
| CN113486467A (en) * | 2021-07-12 | 2021-10-08 | 河南科技大学 | Heat exchanger tube bundle modeling method and computer readable storage medium |
| CN114677481A (en) * | 2022-05-31 | 2022-06-28 | 中国飞机强度研究所 | Method for constructing ideal heating curved surface equivalent approximation model for aerospace plane ground test |
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2019
- 2019-03-15 CN CN201910195825.6A patent/CN109948234A/en active Pending
Cited By (5)
| Publication number | Priority date | Publication date | Assignee | Title |
|---|---|---|---|---|
| CN111368436A (en) * | 2020-03-06 | 2020-07-03 | 重庆邮电大学 | Time domain modeling analysis method for electromagnetic coupling effect of bent line on conducting plate |
| CN112025760A (en) * | 2020-09-01 | 2020-12-04 | 重庆邮电大学 | Electromagnetic driving mechanical joint |
| CN112781816A (en) * | 2021-01-22 | 2021-05-11 | 华北电力大学（保定） | Device and method for analyzing forced vibration coupling characteristic of stator winding system |
| CN113486467A (en) * | 2021-07-12 | 2021-10-08 | 河南科技大学 | Heat exchanger tube bundle modeling method and computer readable storage medium |
| CN114677481A (en) * | 2022-05-31 | 2022-06-28 | 中国飞机强度研究所 | Method for constructing ideal heating curved surface equivalent approximation model for aerospace plane ground test |
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