CN102790483B - Three-dimensional parametric modeling and solid forming manufacture method of steam turbine generator stator bar - Google Patents
Three-dimensional parametric modeling and solid forming manufacture method of steam turbine generator stator bar Download PDFInfo
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- CN102790483B CN102790483B CN201210312578.1A CN201210312578A CN102790483B CN 102790483 B CN102790483 B CN 102790483B CN 201210312578 A CN201210312578 A CN 201210312578A CN 102790483 B CN102790483 B CN 102790483B
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Abstract
The invention relates to a three-dimensional parametric modeling and solid forming manufacture method of a steam turbine generator stator bar. A model established by the method is capable of truly reflecting a three-dimensional shape of the steam turbine generator stator bar, a three-dimensional fully-analytical parametric equation for a stator bar body portion is established for the first time, precise transition of bar corners is achieved by a various-torsion-angle compensation method, and the three-dimensional model of the steam turbine generator stator bar is established by the aid of CAD (computer-aided design) software. The three-dimensional parametric modeling and solid forming manufacture method of the steam turbine generator stator bar is practical, precise, capable of truly reflecting the three-dimensional shape of the steam turbine generator stator bar and easy for forming of parametric design and solid modeling of the steam turbine generator stator bar. The manufacture method is capable of achieving auxiliary processing and manufacture of stator bar lead pressing moulds, can serve as a base model for further finite element computation, and lays a good foundation for research work of precise modeling and performances of the bar.
Description
Technical field
The present invention relates to a kind of stator bar of turbo generator 3 D Parametric Modeling and entity shaping manufacture method.
Background technology
The end shape complexity of Stator Coil, its involute part track is a space curve on the conical surface, if this conical surface is launched, this curve is an involute of circle.This design has guaranteed that the distance between rising, pitch and two adjacent lines rods of line stick end equates, to guarantee that current strength equates and even ventilation cooling condition reliably.
The calculating of stator bar of turbo generator and mapping are one of parts the most loaded down with trivial details in the design of line rod always.Adopt traditionally the computing method of approximate graphing method or plane involute to determine size, the approximate involute precision obtaining is very low, and calculation procedure complexity, can only two-dimensional representation.Along with the development of Three-dimensional CAD Technology, d solid modeling is the inexorable trend of development.At present the three-dimensional modeling of stator bar of turbo generator is had the following disadvantages: the one, modeling method is more backward, is main mainly with the space development method of plane curve, is prone to grid deviation; The 2nd, between online excellent each several part, be connected and be difficult to accomplish rounding off, this reduces the accuracy of modeling, is difficult to the aspects such as FEM (finite element) calculation and the accuracy of manufacture such as line bar structure electromagnetism and furthers investigate; The 3rd, the model step building is comparatively complicated, and versatility is poor, is difficult to form Parametric designing and modeling.
Summary of the invention
The object of this invention is to provide a kind of modeling accurately, revise convenient and succinct applicable stator bar of turbo generator 3 D Parametric Modeling and entity shaping manufacture method.Technical scheme of the present invention is: a kind of stator bar of turbo generator 3 D Parametric Modeling and entity shaping manufacture method are provided, and (1) model basic parameter comprises: base radius R
1, cone angle
involute is initial, termination radius ρ
1, ρ
2, top, terminal arc radius r
1, r
2, copper bar width, highly, knuckle radius w
1, h
1, j
1, slot part, terminal straight length L
1, L
2, top, terminal center of circle radius vector p
1, p
2, involute beginning angle, whole angle
top, terminal arc chord angle s
1, s
2;
(2) the full analytic equation of the three-dimensional of stator bar main body track: the main body of stator bar is made up of three parts: top circular arc, involute and terminal circular arc, this three part is plane curve and projects on conical surface and obtain, and the space tracking equation in coordinates of its track is as follows:
Top an arc equation:
Involute equation:
Terminal an arc equation:
Here, the space coordinates that x, y and z are three-dimensional cartesian coordinate system, t is variable parameter.There is certain limit in different piece parametric t value, [a cos (the r of t ∈ in top circular arc
1/ p
1), π-a sin (R
1/ p
1)], in involute
[a sin (the R of t ∈ in terminal circular arc
1/ p
2), a cos (r
2/ p
2)];
(3) generate line stick end main body: in CAD software, set up line rod cross section, guarantee that cross section is positioned in the starting point of top circular arc, and vertical with top circular arc, according to three space tracking equations in step (2), line rod cross section is scanned along top circular arc, involute, terminal circular arc: scan and refer to the face of choosing to stretch and become entity according to the path of specifying, can obtain the entity structure of line stick end main body, in involute sweep process, for guaranteeing that cross section and conical surface keep vertical, need to give the torsion angle compensation of certain 20t left and right;
(4) generate the transition corner between line rod circular arc and straight line: generate after line stick end main part, need to seamlessly transit with slot part straight line portion, on the cross section at top circular arc near slot part straight line, edge is perpendicular to cross-sectional width direction, apart from kernel of section w
1+ r
3/ 2 places make rotating shaft, do the corner transition of slot part straight line and top circular arc, and the corner transition method of terminal circular arc and straight line is also like this;
(5) generate whole three-dimensional line rod: the transition corner top plane generating in step (4), generate line rod straight line portion by stretching, stretch and refer to the face of choosing to stretch and become entity according to straight line path; For line rod end side, can repeat again to generate by step (2) ~ (4), then choose perpendicular to the excellent linear axis of line to plane be imaging plane, change the torsional direction of line stick end by mirror method, finally generate whole three-dimensional line rod; If both side ends structure is identical, also generate another end of line rod by mirror method, choosing perpendicular to the centre position of line rod straight line is imaging plane.
Set up after single stator bar entity, can obtain a corresponding upper strata or lower bar (torsional direction of the upper and lower line rod is contrary) by mirror method, choose perpendicular to line rod linear axis to plane be imaging plane, and adjust the position between upper and lower layer line rod by shift method.
Foundation completes after two upper and lower layer line rods, can set up by spinning solution the stator bar model of whole generator, choosing cone center line is rotating shaft, in this example for by initial point, to be parallel to the axial straight line of z be rotating shaft, in rotary course, retain former line rod entity, the anglec of rotation is according to design size requirement.
It is efficient that the present invention has modeling, the feature of precision high (theoretical value), can accurately set up how much profiles of line rod, for the fields such as digital control processing, theoretical calculating, optimal design provide basic model, the method applied range, highly versatile, in order to meet the application demand of large turbo-type generator stator bar in occasions such as scientific research, design, processing and manufactures.The model that the present invention sets up can truly reflect the 3D shape of stator bar of turbo generator, is easy to form Parametric designing and the solid modelling of stator bar of turbo generator.The method can utilize rapid shaping technique to realize the secondary process manufacture of stator bar wire compacting tool set, and can be used as the basic model that further carries out FEM (finite element) calculation, for the research work of line rod Accurate Model and aspect of performance lays a good foundation.
Accompanying drawing explanation
Fig. 1: stator bar is circular arc and involute schematic diagram in the plane
Fig. 2: the lip-deep stator bar main body of cone track
Fig. 3: stator bar of turbo generator end parameterized model
Fig. 4: stator bar of turbo generator univers parameter model
Fig. 5: whole layer stator bar of turbo generator parameterized model
Embodiment:
A kind of stator bar of turbo generator 3 D Parametric Modeling and entity shaping manufacture method, its concrete layout comprises: (1) model basic parameter comprises: base radius R
1, cone angle
involute is initial, termination radius ρ
1, ρ
2, top, terminal arc radius r
1, r
2, copper bar width, highly, knuckle radius w
1, h
1, j
1, slot part, terminal straight length L
1, L
2, top, terminal center of circle radius vector p
1, p
2, involute beginning angle, whole angle
top, terminal arc chord angle s
1, s
2;
(2) the full analytic equation of the three-dimensional of stator bar main body track: the main body of stator bar is made up of three parts: top circular arc, involute and terminal circular arc, this three part is plane curve and projects on conical surface and obtain, and the space tracking equation in coordinates of its track is as follows:
Top an arc equation:
Involute equation:
Terminal an arc equation:
Here, the space coordinates that x, y and z are three-dimensional cartesian coordinate system, t is variable parameter.There is certain limit in different piece parametric t value, [a cos (the r of t ∈ in top circular arc
1/ p
1), π-a sin (R
1/ p
1)], in involute
[a sin (the R of t ∈ in terminal circular arc
1/ p
2), a cos (r
2/ p
2)];
(3) generate line stick end main body: in CAD software, set up line rod cross section, guarantee that cross section is positioned in the starting point of top circular arc, and vertical with top circular arc, according to three space tracking equations in step (2), line rod cross section is scanned along top circular arc, involute, terminal circular arc: scan and refer to the face of choosing to stretch and become entity according to the path of specifying, can obtain the entity structure of line stick end main body, in involute sweep process, for guaranteeing that cross section and conical surface keep vertical, need to give the torsion angle compensation of certain 20t left and right;
(4) generate the transition corner between line rod circular arc and straight line: generate after line stick end main part, need to seamlessly transit with slot part straight line portion, on the cross section at top circular arc near slot part straight line, edge is perpendicular to cross-sectional width direction, apart from kernel of section w
1+ r
3/ 2 places make rotating shaft, do the corner transition of slot part straight line and top circular arc, and the corner transition method of terminal circular arc and straight line is also like this;
(5) generate whole three-dimensional line rod: the transition corner top plane generating in step (4), generate line rod straight line portion by stretching, stretch and refer to the face of choosing to stretch and become entity according to straight line path; For line rod end side, can repeat again to generate by step (2) ~ (4), then choose perpendicular to the excellent linear axis of line to plane be imaging plane, change the torsional direction of line stick end by mirror method, finally generate whole three-dimensional line rod; If both side ends structure is identical, also generate another end of line rod by mirror method, choosing perpendicular to the centre position of line rod straight line is imaging plane.
Set up after single stator bar entity, can obtain a corresponding upper strata or lower bar by mirror method, the torsional direction of the upper and lower line rod is contrary, choose perpendicular to line rod linear axis to plane be imaging plane, and adjust the position between upper and lower layer line rod by shift method.
The stator bar model that can set up by spinning solution whole generator, choosing cone center line is rotating shaft, by initial point, to be parallel to the axial straight line of z be rotating shaft, in rotary course, retains former line rod entity, the anglec of rotation is by drawing.
Stator bar of turbo generator 3 D Parametric Modeling is the key element of the secondary process manufacture of line rod mould and virtual emulation model, inventor derives through a large amount of drawing practices and rigorous theory, set up first the full analytic equation of three-dimensional of stator bar of turbo generator main part, and solved the accurate transition of line rod corner by multiple torsion angle compensation method, realize the three-dimensional parameterized Accurate Model of stator bar of turbo generator.Specific implementation method is as follows:
Model basic parameter comprises: base radius R
1, cone angle
involute is initial, termination radius ρ
1, ρ
2, top, terminal arc radius r
1, r
2, copper bar width, highly, knuckle radius w
1, h
1, j
1, slot part, terminal straight length L
1, L
2, top, terminal center of circle radius vector p
1, p
2, involute beginning angle, whole angle
top, terminal arc chord angle s
1, s
2;
The method is set up take the basic circle center of circle as space (0,0,0) coordinate, does straight line along the basic circle center of circle to x axle forward, does basic circle tangent line with basic circle intersection point place to y axle negative sense, and this tangent line is through the circular arc center of circle, top, as shown in Figure 1.The mode of setting up of top circular arc while also comprising conventional two-dimensional modeling in Fig. 1, involute, terminal circular arc, and model basic parameter is marked.
According to the full analytic equation of three-dimensional and the design parameter of derived line rod main body, generate the space tracking of line rod main body, this track invests the side of space cone, as shown in Figure 2.Full analytic equation is specific as follows:
Top an arc equation:
Involute equation:
Terminal an arc equation:
Here, the space coordinates that x, y and z are three-dimensional cartesian coordinate system, t is variable parameter.There is certain limit in different piece parametric t value, [a cos (the r of t ∈ in top circular arc
1/ p
1), π-a sin (R
1/ p
1)], in involute
[a sin (the R of t ∈ in terminal circular arc
1/ p
2), a cos (r
2/ p
2)].
Set up line rod cross section, this cross section is positioned in top circular arc starting point.The coordinate of crossing this starting point is (x
0, y
0, z
0), then do and be parallel to xy face z=z
0plane, in this plane, set up line rod cross section, torsion angle compensation is carried out in this cross section, angle is atan (y
0/ x
0).Torsion angle compensation, take cross section broadside center line as axle, is carried out to again in this cross section, and angle is
after sectional position is determined, this cross section (is scanned and referred to a face of choosing to stretch and become entity according to the path of specifying) by scanning along main body geometric locus, set up line stick end main body, as shown in Figure 3.
Generate after line stick end main part, need to seamlessly transit with slot part straight line portion, on the cross section at top circular arc near slot part straight line, edge is perpendicular to cross-sectional width direction, apart from kernel of section w
1+ r
3/ 2 places make rotating shaft, do the corner transition of slot part straight line and top circular arc, and the corner transition method of terminal circular arc and straight line is also like this.The transition corner top plane of above-mentioned generation, by stretching, (stretching refers to the face of choosing to stretch and become entity according to straight line path) generates line rod straight line portion, for line rod end side, can repeat again to generate by above step, then choose perpendicular to line rod linear axis to plane be imaging plane, change the torsional direction of line stick end by mirror method, finally generate whole three-dimensional line rod; If both side ends structure is identical, also generate another end of line rod by mirror method, choosing perpendicular to the centre position of line rod straight line is imaging plane, as shown in Figure 4.
Set up after single stator bar entity, can obtain a corresponding upper strata or lower bar (torsional direction of the upper and lower line rod is contrary) by mirror method, choose perpendicular to line rod linear axis to plane be imaging plane, and adjust the position between upper and lower layer line rod by shift method.Foundation completes after line rod, can set up by spinning solution the stator bar model of whole generator, choosing cone center line is rotating shaft, in this example for by initial point, to be parallel to the axial straight line of z be rotating shaft, in rotary course, retain former line rod entity, the anglec of rotation, according to design size requirement, Figure 5 shows that the parameterized model of single-layer wire rod entirety.
Claims (3)
1. stator bar of turbo generator 3 D Parametric Modeling and entity shaping manufacture method, is characterized in that: concrete steps comprise:
(1) model basic parameter comprises: base radius R
1, cone angle
involute is initial, termination radius ρ
1, ρ
2, top, terminal arc radius r
1, r
2, copper bar width, highly, knuckle radius w
1, h
1, j
1, slot part, terminal straight length L
1, L
2, top, terminal center of circle radius vector p
1, p
2, involute beginning angle, whole angle
top, terminal arc chord angle s
1, s
2;
(2) the full analytic equation of the three-dimensional of stator bar main body track: the main body of stator bar is made up of three parts: top circular arc, involute and terminal circular arc, this three part is plane curve and projects on conical surface and obtain, and the space tracking equation in coordinates of its track is as follows:
Top an arc equation:
Involute equation:
Terminal an arc equation:
Here, the space coordinates that x, y and z are three-dimensional cartesian coordinate system, t is variable parameter, has certain limit in different piece parametric t value, t ∈ [acos (r in top circular arc
1p
1), π-asin (R
1p
1)], in involute
t ∈ [asin (R in terminal circular arc
1p
2), acos (r
2p
2)];
(3) generate line stick end main body: in CAD software, set up line rod cross section, guarantee that cross section is positioned in the starting point of top circular arc, and vertical with top circular arc, according to three space tracking equations in step (2), line rod cross section is scanned along top circular arc, involute, terminal circular arc: scan and refer to the face of choosing to stretch and become entity according to the path of specifying, can obtain the entity structure of line stick end main body, in involute sweep process, for guaranteeing that cross section and conical surface keep vertical, need to give the torsion angle compensation of certain 20t left and right;
(4) generate the transition corner between line rod circular arc and straight line: generate after line stick end main part, need to seamlessly transit with slot part straight line portion, on the cross section at top circular arc near slot part straight line, edge is perpendicular to cross-sectional width direction, apart from kernel of section w
1+ r
3/ 2 places make rotating shaft, do the corner transition of slot part straight line and top circular arc, and the corner transition method of terminal circular arc and straight line is also like this;
(5) generate whole three-dimensional line rod: the transition corner top plane generating in step (4), generate line rod straight line portion by stretching, stretch and refer to the face of choosing to stretch and become entity according to straight line path; For line rod end side, can repeat again to generate by step (2)～(4), then choose perpendicular to the excellent linear axis of line to plane be imaging plane, change the torsional direction of line stick end by mirror method, finally generate whole three-dimensional line rod; If both side ends structure is identical, also generate another end of line rod by mirror method, choosing perpendicular to the centre position of line rod straight line is imaging plane.
2. a kind of stator bar of turbo generator 3 D Parametric Modeling according to claim 1 and entity shaping manufacture method, it is characterized in that: set up after single stator bar entity, can obtain a corresponding upper strata or lower bar by mirror method, the torsional direction of the upper and lower line rod is contrary, choose perpendicular to line rod linear axis to plane be imaging plane, and adjust the position between upper and lower layer line rod by shift method.
3. a kind of stator bar of turbo generator 3 D Parametric Modeling according to claim 1 and entity shaping manufacture method, it is characterized in that: the stator bar model that can set up by spinning solution whole generator, choosing cone center line is rotating shaft, by initial point, to be parallel to the axial straight line of z be rotating shaft, in rotary course, retain former line rod entity, the anglec of rotation by drawing.
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|---|---|---|---|
| CN201210312578.1A CN102790483B (en) | 2012-08-30 | 2012-08-30 | Three-dimensional parametric modeling and solid forming manufacture method of steam turbine generator stator bar |
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|---|---|---|---|
| CN201210312578.1A CN102790483B (en) | 2012-08-30 | 2012-08-30 | Three-dimensional parametric modeling and solid forming manufacture method of steam turbine generator stator bar |
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| CN102790483B true CN102790483B (en) | 2014-07-09 |
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Families Citing this family (4)
| Publication number | Priority date | Publication date | Assignee | Title |
|---|---|---|---|---|
| CN103577654B (en) * | 2013-11-21 | 2018-01-02 | 上海电气集团股份有限公司 | A kind of finite element Precise modeling of large turbo-type generator stator bar |
| CN103745067B (en) * | 2014-01-21 | 2018-06-19 | 上海电气集团股份有限公司 | Generator stator end parameterizes automatic modeling system and method |
| CN106919773A (en) * | 2017-04-25 | 2017-07-04 | 哈尔滨理工大学 | A kind of numerical computations APP for big stator winding conductor bars in electrical machines end model |
| CN110083993B (en) * | 2019-05-29 | 2022-01-28 | 芯和半导体科技(上海)有限公司 | Winding transmission line parametric modeling method |
Citations (2)
| Publication number | Priority date | Publication date | Assignee | Title |
|---|---|---|---|---|
| CN101577470A (en) * | 2009-06-12 | 2009-11-11 | 哈尔滨电机厂有限责任公司 | Manufacturing process of stator bar of turbo generator |
| US7928625B2 (en) * | 2009-02-19 | 2011-04-19 | General Electric Company | Stator bar with end arm involute-on-cone bend substantially aligned with stator core slot |
-
2012
- 2012-08-30 CN CN201210312578.1A patent/CN102790483B/en active Active
Patent Citations (2)
| Publication number | Priority date | Publication date | Assignee | Title |
|---|---|---|---|---|
| US7928625B2 (en) * | 2009-02-19 | 2011-04-19 | General Electric Company | Stator bar with end arm involute-on-cone bend substantially aligned with stator core slot |
| CN101577470A (en) * | 2009-06-12 | 2009-11-11 | 哈尔滨电机厂有限责任公司 | Manufacturing process of stator bar of turbo generator |
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