CN105740584B - Alternating current generator asymmetric-branches winding connects optimum design method and Unsymmetrical Winding - Google Patents
Alternating current generator asymmetric-branches winding connects optimum design method and Unsymmetrical Winding Download PDFInfo
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Abstract
The invention discloses a kind of alternating current generator asymmetric-branches winding connection optimum design method and asymmetric-branches winding connection schemes.This method combines traditional Unsymmetrical Winding research method, select the lesser coils arrangement scheme of amplitude degree of asymmetry and phase difference, winding connection digraph is converted by the way that winding connection side's trrellis diagram will be corresponded to, and the preferred directed walk in corresponding winding connection digraph, to realize the optimization of asymmetric-branches winding connection scheme；The winding connection scheme that the available asymmetric-branches degree of this method is small and end connection is clean and tidy, circulation loss between reduction branch, saves material, and can guarantee that end connection is clean and tidy, winding overhang fixing intensity is increased, guarantees the efficiency and stability of generating set operation；Simultaneously in optimization process, a large amount of useless schemes can be filtered out automatically, substantially increase the precision and efficiency of asymmetric-branches winding design, there is stronger practicability.
Description
Technical field
The present invention relates to Stator Windings of AC Motor design fields, and in particular to a kind of alternating current generator asymmetric-branches winding
Connection optimum design method and the asymmetric-branches winding connection scheme obtained by this method.
Background technique
Asymmetric-branches winding is a kind of unconventional symmetric winding.Large ac machines stator winding uses asymmetric-branches
Design can effectively reduce the operating current of slot inner conductor, reduce winding loss and temperature rise, reduce electromagnetic force suffered by bar, change
Kind motor performance, improves the stability of motor operation.
It is most except electric potential of branch amplitude degree of asymmetry and maximum phase difference is met in the design process of asymmetric-branches winding
Except possibility is small, the quality of winding overhang wiring is also an important judgment basis.Complicated winding connection is difficult in technique
To realize, and too long winding cross-line will cause the waste of material, increase the fixed difficulty of winding overhang, and vulnerable to electric power
It is vibrated with caused by other factors, influences the reliability of motor operation；For asymmetric-branches winding connection scheme, existing design
Method depends on the personal experience of designer, and ununified design method has a large amount of useless schemes, design accuracy
It is lower；Also, it cannot guarantee that gained design scheme asymmetric-branches degree is small and end connection is clean and tidy simultaneously, it is difficult to design most
Excellent winding connection scheme.
Therefore, a kind of optimum design method for asymmetric-branches winding connection is needed, to guarantee asymmetric-branches journey
Spend the optimization that small and end connection is clean and tidy, and realization alternating current generator asymmetric-branches winding connection designs.
Summary of the invention
In view of the above shortcomings of the prior art, it is an object of the present invention to provide a kind of alternating current generator asymmetric-branches around
Group connection optimum design method, the coils arrangement side that the available asymmetric-branches degree of this method is small and end connection is clean and tidy
Case can not only reduce circulation loss between branch, and can increase winding overhang fixing intensity, to guarantee that generating set is transported
Capable efficiency and stability.
It is a further object to provide one kind to connect optimization design by above-mentioned alternating current generator asymmetric-branches winding
The branch winding Unsymmetrical Winding connection scheme that method obtains.
In order to achieve the above object of the invention, the technical solution adopted by the present invention are as follows:
A kind of alternating current generator asymmetric-branches winding end connection optimum design method is provided, comprising:
According to Stator Windings of AC Motor basic parameter, using alternating current generator asymmetric-branches winding arrangement design method,
Filter out the lesser coils arrangement scheme of amplitude degree of asymmetry and phase difference；
A coils arrangement scheme is extracted, and the coils arrangement scheme is stored in the form of bypass channel matrix number
Get up；
The bypass channel matrix number of the coils arrangement scheme and connection configuration grid figure are classified as one according to every adjacent two
Go together in big group, each big group is that the form of a group is grouped；
Respectively as unit of big group of each of connection configuration grid figure of the coils arrangement scheme, by the coils arrangement
Scheme connection configuration grid figure is converted into corresponding digraph；
According to the element numerical value in bypass channel matrix number, selected in the digraph in bypass channel matrix number in major group
Each group's branch winding connection active path；
The active path of all group's branch windings connection in each big group is cooperated；
The active path by the branch winding connection between each big group cooperates again, completes a coils arrangement scheme
Branch winding connection, realize asymmetric-branches winding end connection optimization design.
According to Stator Windings of AC Motor basic parameter, using alternating current generator asymmetric-branches winding arrangement design method,
Filter out the lesser coils arrangement scheme of amplitude degree of asymmetry and phase difference specifically:
Winding connection configuration grid figure is determined according to Stator Windings of AC Motor basic parameter, is wrapped further according to every branch
Same-phase slot in the number range of same-phase slot vector included in the total number of the vector containing slot, every branch and each branch
The sum of vector number is the principle of number of pole-pairs, and the sieve of branch coils arrangement scheme is carried out in the winding connection configuration grid figure
Choosing；
The amplitude and phase of the synthesis electromotive force of all branch coils arrangement schemes filtered out are calculated, and according to the width
Value and phase, filter out the lesser coils arrangement scheme of amplitude degree of asymmetry and phase difference.
One coils arrangement scheme of the extraction, and the coils arrangement scheme is stored in the form of bypass channel matrix number
Get up；Specifically:
The method that coils arrangement scheme is stored in the form of bypass channel matrix number are as follows:
In bypass channel matrix number, every a line represents a branch of coils arrangement scheme, each element in every a line
Represent the number of the same-phase slot vector for the phase that every branch coils arrangement scheme is included, all elements of every a line
The sum of include by every branch coils arrangement scheme slot vector total number.
It is described to be classified as the bypass channel matrix number of the coils arrangement scheme and connection configuration grid figure according to every adjacent two
Go together in one big group, each big group is that the form of a group is grouped specifically:
Firstly, the bypass channel matrix number of coils arrangement scheme is grouped, specifically:
Since the first row of bypass channel matrix number, two adjacent column are divided into one big group；In each big group, then will
It is divided into a group with a line；
Again by the connection configuration grid figure of the coils arrangement scheme according to determined by Stator Windings of AC Motor basic parameter
It is grouped according to method identical with the bypass channel matrix number；Specifically:
Since the first row of connection configuration grid figure, two adjacent column are divided into one big group；In each big group, then
Same a line is divided into a group.
It is described respectively as unit of big group of each of connection configuration grid figure of the coils arrangement scheme, by the winding
Arrangement scheme connection configuration grid figure is converted into corresponding digraph specifically:
In big group of each of connection configuration grid figure, each slot vector in grid figure corresponds to the top in digraph
Point, the quantity of each column slot vector is identical as the quantity on each column vertex in digraph in grid figure；
Cannot be across the principle of pole wiring according to the slot vector in grid figure, the form connected using wave winding, will it is described around
Group arrangement scheme connection configuration grid figure is converted into corresponding digraph.
The element numerical value according in bypass channel matrix number, is selected major in bypass channel matrix number in the digraph
The active path of each group's branch winding connection in group specifically:
(1) any one vertex in digraph is chosen to choose a line as starting point and mark and start to search for, with this edge
As ground zero, reselection a line marks and continues search judgement the terminal of connection；
(2) relatively selected path by the sum on the first and second column vertex in digraph in corresponding bypass channel matrix number
The size of corresponding element value in group, according to judging result, retrieval is connected by each group's branch winding of starting point of a vertex
Active path；
(3) judge whether the side being connected between any one starting point and minimum point in digraph is all labeled；If complete
Portion is labeled, then all finds by the active path of starting point of this vertex, continues to start to retrieve as starting point using next vertex to sentence
It is disconnected, until the retrieval judgement of active path is all completed on vertex all in digraph；Wherein, minimum point is starting point at a distance of corresponding
Two vertex of the correspondence row that the sum of bypass channel matrix number element subtracts 1.
The sum and corresponding bypass channel matrix number that path selected by the comparison arranges vertex by digraph first and second
The size of corresponding element value determines searching route according to judging result in middle group, specifically:
A. if the number on the vertex path Zhong Lianglie selected by branch winding is respectively less than corresponding element value, repeatedly step a after
Continuous retrieval is gone down；
B. if having a column number of vertices in path selected by branch winding is more than corresponding element value, there is erroneous path,
And marking this path the last item side is erroneous path, returns to the initial vertex on the last item side as new starting point, selection is another
Outer a line continues to judge, until finding two column number of vertices and being equal to corresponding bypass channel matrix number element value, finds one
Active path；
C. if there is a column number of vertices to be equal to corresponding element value in path selected by branch winding, judge another column vertex
The size of number and corresponding element value, and according to judging result, determine searching route；Specifically:
C1. if another column number of vertices is less than corresponding element value, repeatedly step a is continued searching；
C2. if another column number of vertices be greater than corresponding element value, there is erroneous path, and mark this path last
Side is erroneous path, returns to the initial vertex on the last item side as new starting point, selects other a line to continue to judge, directly
Until finding two column number of vertices and being equal to corresponding bypass channel matrix number element value, an active path is found；
C3. if another column number of vertices is equal to corresponding element value, active path is found, stores the top of path process
Point and side, and first vertex and tail vertex；
The active path by all group's branch windings connection in each big group cooperates specifically:
D. vertex corresponding to the active path to each group in the one big group of bypass channel matrix number takes union；
E. judge whether gained union is equal to the set on all vertex in digraph；
F. if being equal to the set on all vertex, the storage cooperation active path that successfully each branch winding connects, and
The first vertex and tail vertex of active path, until all active paths cooperations of branch each in big group of place finish；
G. next big group is gone to, step e to step f is repeated, until branch active path each in all big groups cooperation finishes.
The active path again by the branch winding connection between each big group cooperates specifically:
H. the cooperation active path that successfully each branch winding connects in two neighboring big group is taken, is judged one in one big group
Effective road that the first vertex or tail vertex of the active path of a branch winding connection are connect with a branch winding in adjacent big group
Whether the difference on the tail vertex of diameter or first vertex is 1；
I. if difference is 1, the cooperation between big group, branch winding connection between the successful big group of storage cooperation are completed
Active path.
J. two next adjacent big group is gradually taken, step h and step i is repeated；If there is matching for the condition of satisfaction in major group
Conjunction scheme, then the branch winding between big group cooperates the coils arrangement scheme successfully, met the requirements.
The invention has the benefit that the present invention combines traditional Unsymmetrical Winding research method, amplitude degree of asymmetry is selected
With the lesser coils arrangement scheme of phase difference, and the coils arrangement scheme selected is stored in the form of bypass channel matrix number
Come, the matrix form for realizing coils arrangement scheme indicates；Bypass channel matrix number is classified as one big group according to adjacent two, Mei Ge great
The principle of one group of behavior is grouped in group, and corresponding winding connection side trrellis diagram is classified as a grid figure group according to adjacent two
Principle be grouped, can simplify winding connection, filter out a large amount of useless schemes automatically, improve design accuracy；By above-mentioned grid
Figure group is converted into corresponding winding connection digraph group, and each branch winding of selection connects active path and between each group in group
The active path of winding connection is cooperated, and is finally obtained the asymmetric-branches winding connection scheme of the condition of satisfaction, be can be improved
Design efficiency.
The optimization design of alternating current generator asymmetric-branches winding connection may be implemented in the present invention, can obtain asymmetric-branches
The winding connection scheme that degree is small and end connection is clean and tidy；Gained scheme can reduce circulation loss between branch, save material, and
And winding overhang can be reinforced and fixed, guarantee the efficiency and stability of generating set operation.Meanwhile the present invention can filter out automatically
A large amount of useless schemes, substantially increase the precision and efficiency of asymmetric-branches winding design, have stronger practicability.
Detailed description of the invention
Fig. 1 is the flow chart that alternating current generator asymmetric-branches winding connects optimum design method.
Fig. 2 is bypass channel matrix number schematic diagram.
Fig. 3 is that bypass channel matrix number is grouped schematic diagram.
Fig. 4 is that the corresponding winding connection side trrellis diagram of coils arrangement scheme is grouped schematic diagram.
Fig. 5 is the schematic diagram that grid figure group is converted into that winding connects vertex in digraph group.
Fig. 6 is the schematic diagram that the winding connection digraph group of connection type is added in Fig. 5.
Fig. 7 is the flow chart for the active path selection method that each group corresponds to the connection of branch winding.
Fig. 8 is the flow chart for the active path fitting method that major Zu Neige group corresponds to the connection of branch winding.
Fig. 9 is the flow chart that the active path fitting method of winding connection is corresponded between major group.
Figure 10 is bypass channel matrix number schematic diagram in the embodiment of the present invention.
Figure 11 is that bypass channel matrix number is grouped schematic diagram in the embodiment of the present invention.
Figure 12 is winding connection side's trrellis diagram of coils arrangement option A phase leukorrhagia in the embodiment of the present invention.
Figure 13 is that winding connection side's trrellis diagram is grouped schematic diagram in the embodiment of the present invention.
Figure 14 is the schematic diagram that medium square of embodiment of the present invention figure group is converted into that winding connects vertex in digraph group.
Figure 15 is the winding connection digraph group that connection type is added in Figure 14.
Figure 16 is that the active path that group corresponds to the connection of branch winding in the embodiment of the present invention retrieves schematic diagram.
Figure 17 be in the embodiment of the present invention group correspond to branch winding connection using a vertex as starting point it is all effectively
Path schematic diagram.
Figure 18 is that the active path that great Zu Neige group corresponds to the connection of branch winding in the embodiment of the present invention cooperates schematic diagram.
Figure 19 is the active path cooperation schematic diagram for corresponding to winding connection in the embodiment of the present invention between major group.
Specific embodiment
A specific embodiment of the invention is described below, in order to facilitate understanding by those skilled in the art this hair
It is bright, it should be apparent that the present invention is not limited to the ranges of specific embodiment, for those skilled in the art,
As long as various change is in the spirit and scope of the present invention that the attached claims limit and determine, these variations are aobvious and easy
See, all are using the innovation and creation of present inventive concept in the column of protection.
According to one embodiment of the application, referring to Fig. 1, Fig. 1 is alternating current generator asymmetric-branches winding of the present invention connection
The flow chart of optimum design method；The method comprising the steps of S1 to S7, specifically:
In step sl, according to Stator Windings of AC Motor basic parameter, select amplitude degree of asymmetry and phase difference compared with
Small coils arrangement scheme；
According to one embodiment of the application, determine that every branch is included according to Stator Windings of AC Motor basic parameter
The number range for the same-phase slot vector that total, the every branch of slot vector are included, according to above-mentioned qualifications and each
The sum of road same-phase slot vector number is the principle of number of pole-pairs, selects the coils arrangement scheme of the condition of satisfaction；Calculate the winding
The amplitude and phase of each branch synthesis electromotive force of arrangement scheme, and according to the amplitude and phase, calculate the coils arrangement side
The amplitude degree of asymmetry and maximum phase of case are poor, select the lesser coils arrangement scheme of amplitude degree of asymmetry and phase difference.
According to one embodiment of the application, the sum of the included slot vector of every branch is that total slot number presses every mutually every branch
The slot number that average mark obtains, the also sum of as each branch shared grid in grid figure；In order to guarantee that winding overhang wiring is succinct,
Each branch one column grid can neither be taken or one unused, so the number of same-phase slot vector included in every branch
Range adds 1 to subtract parallel branch number for 1 to number of pole-pairs.
In step s 2, the coils arrangement scheme is stored in the form of bypass channel matrix number.
Referring to fig. 2, coils arrangement scheme is stored in the form of bypass channel matrix number, specifically:
In bypass channel matrix number, each row element indicates the slot vector that a branch includes in coils arrangement scheme, no
The slot vector of same column element representation out of phase, the number of corresponding phase slot vector in the element representation branch in matrix.
In step s3, bypass channel matrix number is classified as a behavior one in one big group, each big group according to adjacent two
The principle of group is grouped, and the principle that corresponding winding connection side trrellis diagram is classified as a grid figure group according to adjacent two is divided
Group.
Referring to Fig. 3, Fig. 3 is that the grouping schematic diagram of bypass channel matrix number will be adjacent since bypass channel matrix number first row
Two column be divided into one big group；It is divided into a group in each big group, then by the element for being about to same a line, i.e., by branch point
Group, the number for the corresponding phase slot vector that each branch of element representation in each group is included；
Referring to fig. 4, Fig. 4 is that the corresponding winding connection side trrellis diagram of coils arrangement scheme is grouped schematic diagram, and winding connects grid
Figure and bypass channel matrix number columns having the same, by big group of group technology of bypass channel matrix number, from winding connection side's trrellis diagram
First row starts, and adjacent two column are divided into a grid figure group.
It will appear more useless scheme when being integrally directly connected to due to winding, using the above method by each coils arrangement scheme
Corresponding bypass channel matrix number and connection configuration grid figure are divided into several groups, winding connection are first carried out in group, then each group is connected
The scheme connected is cooperated, and can be effectively filtered out a large amount of useless schemes, be substantially increased the essence of asymmetric-branches winding design
Degree has stronger practicability.
In step s 4, the grid figure group is converted into corresponding winding and connects digraph group；
Referring to Fig. 5, Fig. 5 connects the schematic diagram on vertex in digraph group for the winding that is converted into grid figure group, every
In a grid figure group, the slot number in grid figure corresponds to the vertex in winding connection digraph group, each column slot vector in grid figure
Number and winding connection digraph group in the number on each column vertex it is identical.
Cannot be across the principle of pole wiring according to winding connection in grid figure, and wave winding type of attachment is used, it will be described each
Grid figure group is converted into corresponding winding connection digraph group.Due to across the pole wiring of winding, its connecting line is longer, end connection
Complexity, end connects clean and tidy wave winding connection scheme in order to obtain, does not allow across pole connection occur in design；For wave winding
Type of attachment corresponds in winding connection digraph group in grid figure group and only exists three kinds of modes of connection, and connection is positive straight down
The connection of normal slot pitch, bottom right are connected as the connection of a long slot pitch, and lower-left is connected as the connection of a short slot pitch；Therefore, each
Vertex only has two sides, i.e. two kinds of possible connection types, and the winding connection digraph group that connection type is added is as shown in Figure 6.
After each column slot number is converted to the vertex in corresponding winding connection digraph group in grid figure group, by above-mentioned all possibility
Connection type by winding connect digraph group in each vertex directed connection get up to form winding connection digraph group.
In step s 5, according to the element value of bypass channel matrix number Zhong Ge group, digraph is connected in the corresponding winding
The active path that each group corresponds to the connection of branch winding is selected in group, referring to Fig. 7, method particularly includes:
A. any one vertex in winding connection digraph group is chosen to choose a line as starting point and mark and start to examine
Rope, as ground zero, reselection a line marks and continues retrieval judgement the terminal connected using this edge；
B. relatively more selected path connects the sum with corresponding branch on the first and second column vertex in digraph group by winding
The size of corresponding element value retrieves each group using a vertex as starting point according to judging result in group in slot number matrix
The active path of branch winding connection, specifically:
B1. if the number on the vertex path Zhong Lianglie selected by branch winding is respectively less than corresponding element value, repeatedly step a after
Continuous retrieval is gone down；
B2. if having a column number of vertices in path selected by branch winding is more than corresponding element value, there is erroneous path,
And marking this path the last item side is erroneous path, returns to the initial vertex on the last item side as new starting point, selection is another
Outer a line continues to judge, until retrieving active path, that is, finds two column number of vertices and is equal to corresponding bypass channel matrix number
Until the directed walk of element value；
B3. it if there is a column number of vertices to be equal to corresponding element value in path selected by branch winding, needs to another column
The size of number of vertices and corresponding element value judged, specifically:
B31. if another column number of vertices is less than corresponding element value, repeatedly step a continues to retrieve；
B32. if another column number of vertices is greater than corresponding element value, there is erroneous path, and mark this path last
A line is erroneous path, returns to the initial vertex on the last item side as new starting point, other a line is selected to continue to judge,
Until retrieve active path, that is, finds two column number of vertices and be equal to the directed walk of corresponding bypass channel matrix number element value and be
Only；
B33. if another column number of vertices is equal to corresponding element value, active path is found, stores path process
Vertex and side, and first vertex and tail vertex.
C. judge the whether whole quilts in the side being connected between any one starting point and minimum point in winding connection digraph group
Label；If all labeled, all found by the active path of starting point of this vertex, continuation is opened using next vertex as starting point
Begin to retrieve judgement, until the retrieval of active path is all completed on all vertex in winding connection digraph group；Wherein, minimum point
Two vertex that the sum of bypass channel matrix number element subtracts 1 are corresponded at a distance of each group for starting point.
In step s 6, the active path that major Zu Neige group corresponds to the connection of branch winding is cooperated；
According to one embodiment of the application, referring to Fig. 8, method particularly includes:
D. the active path for corresponding to the connection of branch winding for a great Zu Neige group of bypass channel matrix number is passed through
Vertex take union；
E. judge whether gained union connects the set equality on all vertex in digraph group with corresponding winding；
F. if being equal to the set on all vertex, the storage cooperation active path that successfully each branch winding connects, and
The first vertex and tail vertex of active path, the active path that great Zu Zhongge group corresponds to the connection of branch winding until place are all matched
Conjunction finishes；
G. next big group is gone to, step d to step f is repeated, until all great Zu Zhongge groups correspond to the connection of branch winding
Active path cooperation finish.
In the step s 7, then by the active path for corresponding to winding connection between major group cooperate, be finally completed entire
The optimization design of alternating current generator asymmetric-branches winding connection.According to one embodiment of the application, referring to Fig. 9, specific method
Are as follows:
H. the active path for taking two neighboring big group corresponding winding connection judges effective road of the same branch winding connection
Diameter in big group of the latter first vertex in previous big group the difference on tail vertex whether be 1；
I. if each branch difference is 1, the cooperation that the active path of winding connection is corresponded between big group, storage are completed
Cooperation is successfully big to organize the active path for corresponding to winding connection.
J. two next adjacent big group is gradually taken, step h and step i is repeated；If there is matching for the condition of satisfaction in major group
Conjunction scheme, the then active path that winding connection is corresponded between big group cooperate the winding connection scheme successfully, met the requirements.
Below by taking 6 branch, 10 pole, a 360 slot three phase alternating current motor as an example, in conjunction with attached drawing further to of the invention specific
Embodiment is described in detail, and specific implementation step is as follows:
According to Stator Windings of AC Motor basic parameter, the sum of the included slot vector of every branch is calculated.
(1) total slot number Z of Stator Windings of AC Motor is 360, number of pole-pairs P is 5, circuitry number a is 6, according to formula (1),
The total n of the included slot vector of every branch is calculated；
(2) the number range of same-phase slot vector included in every branch is between 1~3.
(3) each branch same-phase slot vector number and be 5.
All branch coils arrangement sides for meeting condition are selected in winding connection configuration grid figure according to these three conditions
Case；
Include the number of corresponding phase slot vector according to each branch coils arrangement scheme, is calculated according to formula (2) all
The size for the branch coils arrangement scheme synthesis electromotive force selected；
In formula, NiFor slot vector number,For the corresponding electromotive force of slot vector.
The branch amplitude degree of asymmetry of each coils arrangement scheme is calculated further according to formula (3)；
In formula: EmaxFor the maximum value of branch coils arrangement scheme amplitude；EminFor the amplitude of branch coils arrangement scheme
Minimum value；
It is poor that maximum phase is calculated according to formula (4)；
According to design requirement, wherein amplitude degree of asymmetry limit value is 0.5%, and maximum phase difference limit value is 0.5 °；
It is poor according to above-mentioned amplitude degree of asymmetry and maximum phase, it selects amplitude degree of asymmetry and maximum phase difference is lesser
Coils arrangement scheme, and obtained coils arrangement scheme is stored in the form of bypass channel matrix number；With one of them around
For group arrangement scheme, the amplitude degree of asymmetry of the arrangement scheme is 0.076%, and maximum phase difference is 0.012 °, bypass channel
Matrix number is as shown in Figure 10；The bypass channel matrix number line number is 3, is equal to parallel branch number, and columns 12 is equal to every extremely every phase slot
It counts, every branch of element representation in matrix includes the number of corresponding phase slot vector.
The bypass channel matrix number of above-mentioned coils arrangement scheme is classified as a line in one big group, each big group according to adjacent two
Principle for a group is grouped, corresponding winding connection side trrellis diagram according to adjacent two be classified as the principle of a grid figure group into
Row grouping；
Processing is grouped to bypass channel matrix number according to the method described above, adjacent two column are divided into one big group, each big
In group, then by the element for being about to same a line it is divided into a group, the bypass channel matrix number one of the coils arrangement scheme is divided into greatly
Group 6, group 18, as shown in figure 11.
Figure 12 is winding connection side's trrellis diagram of coils arrangement option A phase leukorrhagia in the present embodiment, wherein columns is every extremely every
Phase slot number is 12, and line number is that number of pole-pairs adds 1 to be 6, and each grid represents corresponding groove number；Intuitively reflect wave winding to become apparent from
Connection increases grid identical with the first row in winding connection side's trrellis diagram last line, which only indicates corresponding groove
The connection of number winding.
Processing is grouped to above-mentioned winding connection side trrellis diagram, as shown in figure 13, adjacent two column are divided into a grid figure
Group, the corresponding winding connection side trrellis diagram of the coils arrangement scheme are divided into obtain 6 grid figure groups.
Above-mentioned grid figure group is converted into corresponding winding connection digraph group, as shown in figure 14；Due to being advised in design
Fixed not allow across pole wiring occur, by above-mentioned concatenate rule, grid figure group, which is corresponded to the vertex in winding connection digraph group, to be had
To connecting, as shown in figure 15.
According to the element value of bypass channel matrix number Zhong Ge group, selected in above-mentioned corresponding winding connection digraph group each small
The active path of the corresponding branch winding connection of group, is such as starting point with 1, directed walk retrieval is carried out in group, as shown in figure 16；
If it is [2,2] that the group, which corresponds to bypass channel matrix number element, indicate the directed walk by winding connection digraph group first
Column and the number on secondary series vertex are 2, for the retrieval for the directed walk for being 1 to retrieve starting point, specifically:
Start with 1 for starting point, such as select the side 1-2 ' and mark, being then correspondingly connected with vertex is 2 ' points, and path passes through two at this time
The number for arranging vertex is 1, continues to retrieve, and such as selects 2 ' -3 sides and marks, then being correspondingly connected with terminal is 3 points, and path passes through at this time
Crossing first row number of vertices is 2, has met number requirement, if continuing to select the side 3-4, being correspondingly connected with terminal is 4 points, then first
It is more than element value that column number of vertices, which is 3, retrieval error occurs, marks this while for mistake, returns at 3 points, selects another a line 3-
4 ' sides are judged that path is equal to corresponding element value by number of vertices at this time, find an active path 1-2 ' -3-4 '.
The active path met the requirements with 1 all number of vertices for starting point is retrieved by above-mentioned retrieval mode, is had
Body judgment basis is whether starting point is all labeled to the side between minimum point；It is starting point with vertex 1, most in the group
Low spot is 1+2+2-1=4, then minimum point is 4 points and 4 ' points.
The retrieval for continuing active path in group according to same method finally obtains and meets item with 1 for starting point is all
The active path of part shares 3, respectively 1-2 ' -3-4 ' with 1 in the group as shown in figure 17 for the active path one of starting point,
'-3 ' 1-2-3 '-4 ', 1-2-4.
The active path of all group's branch windings connection in each big group is cooperated, this method is by that will have
Path is imitated to complete to cooperate with the comparison of all vertex sets in corresponding winding connection digraph group by the union of sets collection on vertex
's.
Figure 18 is that the active path that each branch corresponds to the connection of branch winding in one big organize cooperates successful example, is Figure 12
In in first grid figure each branch directed walk cooperation, this big group totally 3 branches, corresponding bypass channel matrix number element difference
For [1 3], [2 1], [2 1], selection active path is respectively { 1,2 ', 3 ', 4 ' } S1=, S2 by the set on vertex in Figure 15
={ 3,4,5 ' }, S3={ 5,1 ', 2 }, then the union of S1, S2, S3 be { 1,2,3,4,5,1 ', 2 ', 3 ', 4 ', 5 ' } with it is corresponding around
Group connection digraph group entirety vertex set is identical, and such situation is to cooperate successfully；If S1={ 1,2 ', 3 ', 4 ' }, S2=3,
4,5 ' }, { 3,4,5 ' } S3=, then branch 2 and branch 3 share 3,4 and 5 ' slot coils, and the same slot coil is reused, in this way
Connection can not required parallel branch in Construction designing, belong to the scheme of cooperation failure, the then table in vertex set
The union of existing S1, S2, S3 be { 1,3,4,2 ', 3 ', 4 ', 5 ' } be less than corresponding winding connect digraph group entirety vertex set 1,
2,3,4,5,1’,2’,3’,4’,5’}。
The active path that winding connection is corresponded between each big group is cooperated again, as shown in figure 19, Figure 19 is adjacent
Active path cooperates successful example between two big group, and directed walk matches between first and second grid figure groups in Figure 12
It closes；First branch active path is path shown in dotted line in first big group, which is 1, terminal 4 '；Article 2
Branch active path is path shown in heavy line, which is 5, terminal 2；Article 3 branch active path is fine line
Shown path, the path starting point are 3, terminal 5 '；The starting point of branch 1 is 5 in second big group, terminal 2 '；Branch 2 rises
Point is 3, terminal 5 '；The starting point of branch 3 is 1, terminal 4 '；
Head and the tail are sequentially connected with the tail for referring to same branch active path in previous big group, same with big group of the latter
The head of branch active path meets wave winding connection relationship, i.e. the first institute in bigger than the latter group of previous big group of tail position of the row
Lack a line in the position being expert at；
As shown in figure 19, previous big group of the tail of branch 1 is 4 ', and latter big group of head is 5, meets matching principle；Before branch 2
One tail organized greatly is 2, and latter big group of head is 3, meets matching principle；Previous big group of the tail of branch 3 is 5 ', latter big group of head
It is 1, meets matching principle；
Conversely, two head and the tail organized greatly are in the more a line of head of same a line or previous big group of tail than latter big group or more
The wiring condition of capable or previous big group of tail multirow fewer than latter big group of head is not satisfied cooperation and requires.
In conclusion alternating current generator asymmetric-branches winding connection optimum design method provided by the invention can be realized friendship
The connection of galvanic electricity machine asymmetric-branches winding optimizes, and can filter out a large amount of useless schemes automatically, substantially increases entire branch
The precision and efficiency of Unsymmetrical Winding design, have stronger practicability；Meanwhile branch is obtained not by the optimum design method
The symmetrical coils arrangement scheme that degree is small and end connection is clean and tidy is conducive to circulation loss between reduction branch, saves material, reinforces
Winding overhang is fixed, and guarantees the efficiency and stability of generating set operation.
Claims (10)
1. alternating current generator asymmetric-branches winding connects optimum design method, characterized in that include:
According to Stator Windings of AC Motor basic parameter, the lesser coils arrangement side of amplitude degree of asymmetry and phase difference is selected
Case；
The coils arrangement scheme is stored in the form of bypass channel matrix number；
The bypass channel matrix number of the coils arrangement scheme is classified as a behavior one in one big group, each big group according to adjacent two
The principle of a group is grouped, and the principle that corresponding winding connection side trrellis diagram is classified as a grid figure group according to adjacent two is divided
Group；
The grid figure group is converted into corresponding winding respectively and connects digraph group；
According to the element value of bypass channel matrix number Zhong Ge group, each group pair is selected in the corresponding winding connection digraph group
The active path for answering branch winding to connect；
The active path that major Zu Neige group corresponds to the connection of branch winding is cooperated；
The active path for corresponding to winding connection between major group is cooperated again, it is not right to be finally completed entire alternating current generator branch
Claim the optimization design of winding connection.
2. alternating current generator asymmetric-branches winding according to claim 1 connects optimum design method, characterized in that according to
Stator Windings of AC Motor basic parameter selects the lesser coils arrangement scheme of amplitude degree of asymmetry and phase difference, specifically:
According to Stator Windings of AC Motor basic parameter, determine that total, the every branch of the included slot vector of every branch are wrapped
The number range of the same-phase slot vector contained is pole according to the sum of above-mentioned qualifications and each branch same-phase slot vector number
The principle of logarithm selects the coils arrangement scheme of the condition of satisfaction；
The amplitude and phase of each branch synthesis electromotive force of the coils arrangement scheme are calculated, and according to the amplitude and phase, meter
Amplitude degree of asymmetry and the maximum phase for calculating the coils arrangement scheme are poor, choose amplitude degree of asymmetry and maximum phase difference compared with
Small coils arrangement scheme.
3. alternating current generator asymmetric-branches winding according to claim 1 connects optimum design method, characterized in that by institute
Coils arrangement scheme is stated to store in the form of bypass channel matrix number, specifically:
In bypass channel matrix number, each row element indicates the slot vector that a branch includes in coils arrangement scheme, different lines
The slot vector of element representation out of phase, the number of corresponding phase slot vector in the element representation branch in matrix.
4. alternating current generator asymmetric-branches winding according to claim 1 connects optimum design method, characterized in that by institute
The bypass channel matrix number for stating coils arrangement scheme is classified as one group of a behavior in one big group, each big group according to adjacent two
Principle is grouped, and the principle that corresponding winding connection side trrellis diagram is classified as a grid figure group according to adjacent two is grouped, specifically
Are as follows:
Firstly, the bypass channel matrix number of coils arrangement scheme is grouped, specifically:
Since the first row of bypass channel matrix number, adjacent two column are divided into one big group；It is same in each big group, then by being about to
The element of a line is divided into a group；
Corresponding winding connection side trrellis diagram is grouped according to method identical with the bypass channel matrix number again, specifically:
Since the first row of winding connection side's trrellis diagram, adjacent two column are divided into a grid figure group.
5. alternating current generator asymmetric-branches winding according to claim 1 connects optimum design method, characterized in that respectively
The grid figure group is converted into corresponding winding connection digraph group, specifically:
The vertex in digraph group is connected in the corresponding winding of slot number in each grid figure group, the number of each column slot number in grid figure group
Mesh is identical as the number on each column vertex in winding connection digraph group；
Cannot be across the principle of pole wiring according to winding in grid figure, and wave winding type of attachment is used, by each side's trrellis diagram group
It is converted into corresponding winding connection digraph group.
6. alternating current generator asymmetric-branches winding according to claim 1 connects optimum design method, characterized in that according to
The element value of bypass channel matrix number Zhong Ge group corresponds in winding connection digraph group in each side's trrellis diagram group and selects each group
The active path of corresponding branch winding connection, specifically:
A. any one vertex in winding connection digraph group is chosen to choose a line as starting point and mark and start to retrieve, with
As ground zero, reselection a line marks and continues retrieval judgement the terminal of this edge connection；
B. compare selected path by the total and corresponding branch slot number on the first and second column vertex in winding connection digraph group
The size of corresponding element value retrieves each group using a vertex as the branch of starting point according to judging result in group in matrix
The active path of winding connection；
C. judge whether the side being connected between any one starting point and minimum point in winding connection digraph group is all labeled；
If all labeled, all found by the active path of starting point of this vertex, continuation starts to examine using next vertex as starting point
Rope judgement, until the retrieval of active path is all completed on all vertex in winding connection digraph group；Wherein, minimum point is
Point corresponds to two vertex that the sum of bypass channel matrix number element subtracts 1 at a distance of each group.
7. alternating current generator asymmetric-branches winding according to claim 6 connects optimum design method, characterized in that compare
Selected path is by the first and second sums for arranging vertex and group in corresponding bypass channel matrix number in winding connection digraph group
The size of interior corresponding element value retrieves active path according to judging result, specifically:
B1. if the number on the vertex path Zhong Lianglie selected by branch winding is respectively less than corresponding element value, repeatedly step a continues to examine
Rope goes down；
B2. if having a column number of vertices in path selected by branch winding is more than corresponding element value, there is erroneous path, and mark
Remember that this path the last item side is erroneous path, returns to the initial vertex on the last item side as new starting point, select other one
Side continues to judge, until retrieving active path, that is, finds two column number of vertices and is equal to corresponding bypass channel matrix number element
Until the directed walk of value；
B3. it if there is a column number of vertices to be equal to corresponding element value in path selected by branch winding, needs to another column vertex
The size of number and corresponding element value judged, specifically:
B31. if another column number of vertices is less than corresponding element value, repeatedly step a continues to retrieve；
B32. if another column number of vertices is greater than corresponding element value, there is erroneous path, and mark this path the last item
While being erroneous path, the initial vertex on the last item side is returned to as new starting point, other a line is selected to continue to judge, until
Active path is retrieved, that is, until finding the directed walk that two column number of vertices are equal to corresponding bypass channel matrix number element value；
B33. if another column number of vertices is equal to corresponding element value, active path is found, stores the vertex of path process
With side, and first vertex and tail vertex.
8. alternating current generator asymmetric-branches winding according to claim 1 connects optimum design method, characterized in that will be each
The active path that great Zu Neige group corresponds to the connection of branch winding is cooperated, specifically:
D. the top that the active path for corresponding to the connection of branch winding for a great Zu Neige group of bypass channel matrix number is passed through
Point takes union；
E. judge whether gained union connects the set equality on all vertex in digraph group with corresponding winding；
F. if being equal to the set on all vertex, the storage cooperation active path that successfully each branch winding connects, and effectively
The first vertex and tail vertex in path, the active path that great Zu Zhongge group corresponds to the connection of branch winding until place have all cooperated
Finish；
G. next big group is gone to, step d to step f is repeated, until all great Zu Zhongge groups correspond to having for branch winding connection
The cooperation of effect path finishes.
9. alternating current generator asymmetric-branches winding according to claim 1 connects optimum design method, characterized in that again will
The active path that winding connection is corresponded between major group is cooperated, specifically:
H. the active path for taking two neighboring big group corresponding winding connection judges that the active path of the same branch winding connection exists
In big group of the latter first vertex in previous big group the difference on tail vertex whether be 1；
I. if each branch difference is 1, the cooperation that the active path of winding connection is corresponded between big group, storage cooperation are completed
The successfully big active path for organizing corresponding winding connection；
J. two next adjacent big group is gradually taken, step h and step i is repeated；If there is the cooperation side of the condition of satisfaction in major group
Case, the then active path that winding connection is corresponded between big group cooperate the winding connection scheme successfully, met the requirements.
10. designing to obtain by any alternating current generator asymmetric-branches winding connection optimum design method of claim 1-9
Asymmetric-branches winding.
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| The starting of single-phase induction motors having asymmetrical stator windings in quadrature;Jha C S 等;《Proceedings of the IEE-Part A: Power Engineering》;20101231;第10卷(第3期);第326-335页 * |
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