JPS6127985B2 - - Google Patents

Description

DETAILED DESCRIPTION OF THE INVENTION The present invention relates to fractional slot windings of stator coils of alternating current machines.

As is well known, stator coil winding methods include lap winding and wave winding, and when the number of slots N _SPP for one pole and one phase is an integer or a fraction (1/2 and other than 1/2) There is.

When an AC machine becomes larger and the stator coil is used in a multi-parallel circuit, if the stator coil is lap wound, the number of slots for one pole and one phase N _SPP is an integer, the common divisor of the number of poles, and the fraction n/m. In this case, a parallel circuit with a common divisor of the number of poles/m is possible. Regarding wave winding, it is difficult to wind a multi-parallel circuit when N _SPP is an integer or 1/2, but there are some methods to solve this problem, such as the Japanese Patent Publication No. 26-3156. Fractions are considered to be very difficult and difficult, and as a solution to this problem, only a few methods have been devised for 1/m (when n=1), such as Utility Model Publication No. 50-20241. According to Publication of Publication No. 50-20241, special connection lines are always required, and the number of connections is large, and the combination of the number of poles and the number of slots can only be m±1/n, and the degree of freedom is small. Another disadvantage is that it can only be applied to a limited number of parallel circuits.

Wave windings were considered to be widely used because they require fewer crossover wires between poles than lap windings and are relatively easy to connect. It was not used much because it was thought that it was difficult to obtain a large amount of

It is an object of the present invention to eliminate the above-mentioned disadvantages and to provide a wave winding with a number of parallel circuits that is a common divisor of the number of poles/m for any combination of number of poles and number of slots without the need for special connecting wires. It is an object of the present invention to provide a winding wire of this type that can be implemented without any problems and with a small number of connecting wires.

The present invention divides the coil groups connected in series in the same slot arrangement in a lap winding into several parts, so that a parallel circuit with a common divisor of the number of poles/m can be obtained by a wave winding. .

To determine the number of coils belonging to a certain phase in the case of a fractional slot wave winding, the slot arrangement is determined in the same way as in the case of a lap winding. For example, 1000 if n/m=1/4, 1110 if n/m=3/4, 10000 if n/m=1/5, 10100 if n/m=2/5, 11010 if n/m=3/5, n If /m=4/5, it becomes 11110, etc., and in the case of k+n/m, the above-mentioned 0 and 1 are used and k is added (k+0) and (k+1), which are coil groups belonging to the same phase.

21/4 (meaning k=2, n=1, m=4)
If it is 31/4, it will be 3222, and if it is 31/4, it will be 4333. When the slot arrangement is determined in this way, considering the three phases U, V, and W, every second phase will return to its own phase. For example, if the phases advance in the order of UVW and slot number, and the U phase is the No. 1 slot, the first
As shown in Figure 5, the slot arrangement of the U phase (circled in the diagram) is determined, and the slot numbers are also determined by entering the slot numbers for each slot. The steps up to this point are exactly the same as those for lapped windings and are well known. These arrays are not limited to those mentioned above; in addition to 1000 for 1/4,
Even if you change the order like 0100, 0010, 0001, it will be the same.

The winding pitch in the case of wave winding is given by an integer close to (k+n/m)×6. In this case, if the number is even in Zenmoku, then front pitch = back pitch,
When the number is odd, front pitch + 1 = back pitch or front pitch - 1 = back pitch.
In the following explanation, we will proceed with the latter case, where front pitch - 1 = back pitch. Of course, even in the former case, an essentially balanced parallel circuit winding is possible with only a slight difference in the result.

In addition, an essentially balanced number of parallel windings is possible for both short-pitch winding and long-pitch winding. The following explanation will be given in full volume.

Once the slot number and winding pitch are determined, a series group is created by finding the coils that will be connected in series at that winding pitch. The number is the number of poles/m
If it is the same as the greatest common divisor, each forms one parallel path, and if it is a multiple of the greatest common divisor, the multiples are further connected in series to form one parallel path. At this time, check the starting and ending positions of each series group in terms of electrical vectors to obtain a correct parallel circuit.

Example 1 As an example of n/m=1/7, the number of slots for one pole and one phase is 21/7.
, 42 poles, 270 slots. When n/m=1/7, it becomes 1,000,000, and for 21/7, it becomes 3,222,222.
FIG. 15 shows the assignment of slot numbers to this slot arrangement. The winding pitch is 21/7 x 6 = 12.9≒13. First, determine how the slot number 1 will be connected as follows.

1+13=14, 1+270-13=258, so 14 is the same phase as 1 and 258 is a different phase, so 258 is unnecessary.
Therefore, we will proceed in the direction with the largest number. 1+
13=14, 14+13=27, 27+13=40, 53, 66, 79,
92, 105, 118, 131, 144, 157, 170, 183, and then 183 + 13 = 196, which shows that these are not in the same phase but in different phases, so it smoothly turns into a series at the winding pitch. I know that up to 183 wires can be wound. Slot #2 in the same way
If you think about what belongs to, 2 + 13 = 15,
2+270-13=259, both 15 and 259 have the same phase as 1. First, proceeding to the higher number, 2 + 13 = 15, 15
+13=28, 41, 54, 67, 80, 93 and then 93+
Since 13 = 106, this becomes another phase, so we know that it is up to 93. Going towards the smaller number is 2+270−
13=259, 259-13=246, 233, 220, 207, 194,
181 becomes 181 - 13 = 168, which is different from each other, so the series including 2 are 181, 194, 207, 220, 233, 246,
I know that it will be 259, 2, 15, 28, 41, 54, 67, 80, 93.

In the same way, if a series group is created so as to include all the slot numbers belonging to the slot array marked with a circle in FIG. 15, the following four types will be obtained in addition to the above two types. 91, 104, 117, 130, 143,
156, 169, 182, 195, 208, 221, 234, 247,
260, 346, 59, 72, 85, 98, 111, 124, 137,
150, 163, 176, 189, 202, 215, 228, 136,
149, 162, 175, 188, 201, 214, 227, 240,
253, 266, 9, 22, 35, 48, 226, 239, 252,
265, 8, 21, 34, 47, 60, 73, 86, 99, 112,
125, 138.

Since the number of poles/m=42/7=6, 1, 2, 3, and 6Y connections should be possible. Therefore, in the case of 6Y, each of the above six types becomes phase separated. For 3Y, connect two of each in series and make 3Y. For 2Y, connect three of each in series and make 2Y. For 1Y, all should be connected in series. Clarifying the electrical vector positions of the coils at both ends of each series, the electrical angle of one slot pitch is 360° x /270 = 28°, so if slot number 1 is used as a reference, slot number 1 (+) cos (1 -1)×28°+j sin(1-1)×28°=1 183(+) cos(183-1)×28°+j sin(183-1)×28°=cos5096°+j sin5096°=cos56° +j sin56゜181 (+) cos (181-1) x 28゜ + j sin (181-1) ×28゜ = cos5040゜ + j sin5040゜ = cos0゜ + j sin0゜ = 1 93 (+) cos (93-1) ×28゜＋j sin(93−1) ×28゜＝cos2576゜＋j sin2576゜ =cos56゜＋j sin56゜91(+) cos(91−1)×28゜＋j sin(91−1) ×28゜＝cos2520゜＋j sin2520゜ = cos0゜+j sin0゜=1 3(+) cos(3-1)×28°+j sin(3-1) ×28゜=cos56゜+j sin56゜46(-) −cos(46− 1)×28゜−j sin(46−1) ×28゜＝−cos1260゜−j sin1260゜ =−cos180゜−｜ sin180゜=1 228(−) −cos(228−1)×28゜−j sin (228-1) ×28゜=-cos6356゜-j sin6356゜ =-cos (180+56゜)-j sin (180 +56゜)=cos56゜+j sin56゜136 (-) -cos (136-1)× 28゜−j sin(136−1) ×28゜=−cos3780゜−j sin3780゜ =−cos180゜−j sin180゜=1 48(−) −cos(48−1)×28゜−j sin(48 -1) ×28゜=-cos1316゜-j sin1316゜ =-cos(180+56゜)-j sin(180 +56゜)=cos56゜+j sin56゜226(-) -cos(226-1)×28゜- j sin (226-1) ×28゜=-cos6300゜-j sin6300゜ =-cos180゜-j sin180゜=1 138 (-) -cos (138-1)×28゜-j sin (138-1) ×28゜=-cos3836゜-j sin3826゜ =-cos (180+56゜)-j sin (180 +56゜)=cos56゜+j sin56゜ As above, 1, 181, 91, 46, 136, 226,
It can be seen that 183, 93, 3, 228, 48, and 138 each indicate the same vector position. Therefore, if you connect the wires by paying attention to + and -, you can easily obtain the required winding. +- refers to the slot array. In this case, the slots including slots 1, 2, and 3 are set as +, and the slots are sequentially +-+
- and then attach it to the slot number belonging to that arrangement. The arrangement of the coils for only this phase is shown in FIG.

Assuming that the coil with slot number 1 is positive and the direction of the current is downward in FIG. 1, the other outlets are positioned. Although only one phase is shown here, the other phases are omitted for simplicity since it is sufficient to use coils located 120 degrees apart electrically.
A typical example of how to construct a parallel circuit is shown in Figure 2. In Figure 2, the area outside the dotted circle represents the coil that is housed in the slot shown in Figure 1 and is connected in series, and the area inside the dotted line represents both ends of the coil that is connected in series, and the cross-over wire outside the slot. Showing connections. In this case, there is only one way for 6Y, but for 3Y there are 15 ways as ₆ C ₂ = 15, and for 2Y there are ₆ C ₃ =
20 means 20 possible ways. The length of the connecting wire between poles,
Any arrangement may be used depending on requirements such as the desire to make the coil arrangement within the phase splitting as uniform as possible over the entire circumference of the mechanical stator.

The coil number determined above is for two-layer winding,
Only the top coil and only the bottom coil are shown. If the number of the upper coil is 1 14 27 40 53 66 79 92 105 118 131 144
157 170 183, the actual series connection of the coils including the bottom coil is as follows. The number in parentheses is the slot number of the bottom coil. In other words, bottom coil number = (top coil number) + (back pitch),
Next, the number of the upper coil connected to the bottom coil is calculated as follows: (number of bottom coil) + (front pitch). Here, back pitch = 6 and front pitch = 7, so 1 (7) 14 (20) 27 (33) 40 (46) 53 (59) 66
(72) 79 (85) 92 (98) 105 (111) 118 (124) 131
(137) 144 (150) 157 (163) 170 (176) 183
(189) is the actual appearance of the series coil series represented by.

Also, if we let the number of the bottom coil be the number of the bottom coil, we will add the top coil and get the following. The number in parentheses is the bottom coil number.

(1) 7 (14) 20 (27) 33 (40) 46 (53) 59
(66) 72 (79) 85 (92) 98 (105) 111 (118) 124
(131) 137 (144) 150 (157) 163 (170) 176
(183) 189 is the actual form of the series coil series represented by. In each description of the embodiments, only the top coil or only the bottom coil will be shown.

Example 2 As an example of n/m=2/7, the number of slots for one pole and one phase is 22/7
, 42 poles, 288 slots.

For n/m=2/7, it becomes 1001000, and for 22/7, it becomes 322322. If a diagram such as that shown in FIG. 15 used in the embodiment is created and the same procedure is performed, the following series of coils will be obtained. However, the winding pitch is 22/7×6=13.7≒14, and the back pitch=front pitch=14/2=7.

1, 15, 29, 43, 57, 71, 85, 99 8, 22, 36, 50, 64, 78, 92, 106 49, 63, 77, 91, 105, 119, 133, 147 56, 70, 84 , 98, 112, 126, 140, 154 97, 111, 125, 139, 153, 167, 181, 195 104, 118, 132, 146, 160, 174, 188, 202 145, 159, 173, 187, 201, 215, 229, 243 152, 166, 180, 194, 208, 222, 236, 250 193, 207, 221, 235, 249, 263, 277, 3 200, 214, 228, 242, 256, 270, 284, 10 241, 255, 269, 283, 9, 23, 37, 51 248, 262, 276, 2, 16, 30, 44, 58 This time, 12 series coil groups were created, but the number of poles/m = 6. , 1, 2, 3, 6Y should be possible, so if we connect 12/6 = 2 series coil groups into a series and then make it a parallel example.
You will get 6Y. The electric vector position of each group is as follows.
It will look like this:

Slot 1 is (+) 1 99 is (+) cos521/2° + j sin521/2° Slot 8 is (-) cos33/4° +j sin33/4° 160 (-) cos561/4° + j sin561/4° Slot 49(-) 1 147(-) cos521/2°+j sin521/2° slot 56(+) cos33/4° +j sin33/4° 154(+) cos561/4°+j sin561/4° slot 97(+) 1 195(+) cos521/2゜+j sin521/2゜ slot 104(-) cos33/4゜ +j sin33/4゜ 202(-) cos561/4゜+j sin561/4゜ slot 145(-) 1 243(- ) cos521/2°+j sin521/2° slot 152(+) cos33/4° +j sin33/4° 250(+) cos561/4°+j sin561/4° slot 193(+) 1 3(+) cos521/2゜＋j sin521/2゜ slot 200(-) cos33/4゜＋j sin33/
4゜ 10(-) cos561/4゜+j sin561/4゜ slot 241(-) 1 51(-) cos521/2゜+j sin521/2゜ slot 248(+) cos33/4゜ +j sin33/4゜ 58( +) cos561/4゜+j sin561/4゜ In other words, the electric vectors are the same, and they are also the same within, but
The front and rear groups are different, so if you select one set from each group and connect them in series, you will get six groups with exactly the same vector, and these are the basic groups for obtaining parallel connections. becomes. These coil arrangements are shown in FIG. A typical example of how to construct a parallel circuit is shown in FIG. Again, depending on the combination, 3Y,
With 2Y, many combinations are possible as shown in Example 1.

Example 3 As an example of n/m=3/7, the number of slots for one pole and one phase is 23/7.
, 42 poles, 306 slots.

For 23/7, it becomes 3232322, giving the following series of coils. However, the pitch of the number of turns is 23/7 x 6 = 14.6≒15, so the back pitch is 7 and the front pitch is 8.

1, 16, 31, 46, 61, 76 23, 38, 53, 68, 83, 98 45, 60, 75, 90, 105 52, 67, 82, 97, 112, 127 74, 89, 104, 119, 134, 149 96, 111, 126, 141, 156 103, 118, 133, 148, 163, 178 125, 140, 155, 170, 185, 200 147, 162, 177, 192, 207 154, 169, 184, 199 , 214, 229 176, 191, 206, 221, 236, 251 198, 213, 228, 243, 258 205, 220, 235, 250, 265, 280 227, 242, 257, 272, 287, 302 249, 264, 279, 294, 3 256, 271, 286, 301, 10, 25 278, 293, 2, 17, 32, 47 300, 9, 24, 39, 54 This time, 18 series coil groups were made, but Paul Since number/m = 6, 1, 2, 3, 6Y should be possible, so 18/6 = 3 series coil groups are connected in series to create 6 coil groups, and these are parallel I decided to do this and get 6Y.

The electric vector position of each group is as follows.

Slot (+) 1 76 (+) cos5216/17°+j sin5216/17
゜ Slot 23(-) cos39/17゜ +j sin39/17゜ 98(-) cos568/17゜+j sin568/17゜ Slot 45(+) cos71/17゜ +j sin71/17゜ 105(+) cos497/17゜+j sin497/17° Slot 52(-) 1 127(-) 5216/17°+j sin5216/17° Slot 74(+) cos39/17° +j sin39/17° 149(+) cos568/17°+j sin568/17゜ Slot 96(-) cos71/17゜ +j sin71/17゜ 156(-) cos497/17゜+j sin497/17゜ Slot 103(+) 1 178(+) cos52 16/17゜+j sin52 16/1
7゜ Slot 125(-) cos39/17゜ +j sin39/17゜ 200(-) cos568/17゜+j sin568/17゜ Slot 147(+) cos71/17゜ +j sin71/17゜ 207(+) cos497/17゜＋j sin497/17゜ Slot 154(-) 1 229(-) cos5216/17°＋j sin5216/1
7゜ Slot 176 (+) cos39/17゜ +j sin39/17゜ 251 (+) cos568/17゜+j sin568/17゜ Slot 198 (-) cos71/17゜ +j sin71/17゜ 258 (-) cos497/17゜＋j sin497/17゜ slot 205(+) 1 280(+) cos5216/17゜+j sin5216/1
7゜ Slot 227(-) cos39/17゜ +j sin39/17゜ 302(-) cos568/17゜+j sin568/17゜ Slot 249(+) cos71/17゜ +j sin71/17゜ 3(+) cos497/17゜＋j sin497/17゜ slot 256(-) 1 25(-) cos5216/17゜＋j sin5216/17
゜ Slot 278 (+) cos 39/17 ° + j sin 39/17 ° 47 (+) cos 568/17 ° + j sin 568/17 ° Slot 300 (-) cos 71/17 ° + j sin 71/17 ° 54 (-) cos 497/17 ° +j sin497/17° Groups that are the same in terms of electric vectors are roughly divided into three groups: (group A), group B (group B), and group C (group C). Therefore A, B, C
If one set is taken out from each group and connected in series, six coil groups will be created, and these will be the basic groups for obtaining parallel connections. These coil arrangements are shown in FIG. A typical example of how to construct a parallel circuit is shown in FIG. This time
Even for 6Y, ₆ C ₁ × ₆ C ₁ × ₆ C ₁ = 216 ways can be theoretically considered, and for 3Y and 2Y, ( ₆ C ₂ ) ³ ,
( ₆ C ₃ ) A huge number of combinations of ³ are possible.

Example 4 As an example of n/m=4/7, the number of slots for one pole and one phase is 24/7
, 42 poles, 324 slots.

For 24/7, it becomes 3323232, resulting in the following series of coils. However, the winding pitch is 24/7 x 6 = 15.4≒15, so the back pitch is 7 and the front pitch is 8.

250, 265, 280, 295, 310, 1 281, 296, 311, 2, 17, 32 312, 3, 18, 33, 48, 63 42, 57, 72, 87, 102, 117 11, 26, 41, 56, 71, 86 304, 319, 10, 25, 40, 55 34, 49, 64, 79, 94, 109 65, 80, 95, 110, 125, 140 96, 111, 126, 141, 156, 171 150 , 165, 180, 195, 210, 225 119, 134, 149, 164, 179, 194 88, 103, 118, 133, 148, 163 142, 157, 172, 187, 202, 217 173, 188, 203, 218 , 233, 248 204, 219, 234, 249, 264, 279 258, 273, 288, 303, 318, 9 227, 242, 257, 272, 287, 302 196, 211, 226, 241, 256, 271 This time too 18 series coil groups were created.

The electric vector position of each group is as follows.

Slot 250 (+) cos50゜ +j sin50゜ 1 (+) 1 slot 281 (+) cos531/3゜ +j sin531/3゜ 32 (+) cos31/3゜+j sin31/3゜ slot 312 (+) cos56 2/3゜ +j sin562/3゜ 63(+) cos62/3゜+j sin62/3゜ slot 42(-) cos562/3゜ +j sin562/3゜ 117(-) cos62/3゜+j sin62/3゜ slot 11(- ) cos531/3゜ +j sin531/3゜ 86 (-) cos31/3゜ + j sin31/3゜ slot 304 (-) cos50゜ +j sin50゜ 55 (-) 1 slot 34 (+) cos50゜ +j sin50゜ 109 ( +) 1 slot 65 (+) cos531/3゜+j sin531/
3゜ 140 (+) cos31/3゜+j sin31/3゜ slot 96 (+) cos562/3゜+j sin562/
3゜ 171(+) cos62/3゜+j sin62/3゜ slot 150(-) cos562/3゜ +j sin562/3゜ 225(-) cos62/3゜+j sin62/3゜ slot 119(-) cos531/3゜ +j sin531/3゜ 194(-) cos31/3゜+j sin31/3゜ slot 88(-) cos50゜ +j sin50゜ 163(-) 1 slot 142(+) cos50゜ +j sin50゜ 217(+) 1 slot 173(+) cos531/3° +j sin531/3° 248(+) cos31/3°+j sin31/3° Slot 204(+) cos562/3° +j sin562/3° 279(+) cos62/3°+j sin62 /3゜ slot 258 (-) cos562/3゜+j sin562
/3 ゜ 9(-) cos62/3゜+j sin62/3゜ slot 227(-) cos531/3゜ +j sin531/3゜ 302(-) cos31/3゜+j sin31/3゜ slot 196(-) cos50゜+j sin50° 271 (-) 1 Groups that are the same in terms of electric vectors are roughly divided into three groups: (referred to as A group), (referred to as B group), and (referred to as C group). Therefore A, B, C
If one coil group is taken out from each group and connected in series, six coil groups will be created, and these will be used as basic groups for obtaining parallel connections. The arrangement of these coils is shown in FIG. A typical example of how to construct a parallel circuit is shown in FIG.

Example 5 As an example of n/m=5/7, the number of slots for one pole and one phase is 25/7.
, 42 poles and 342 slots.

For 25/7, it becomes 3332332, giving the following series of coils. However, the winding pitch is 25/7×6=16.3≈16, and the back pitch=front pitch=8.

199, 215, 231, 247, 263, 279, 295, 311,
327, 1 264, 280, 296, 312, 328, 2, 18, 34, 50 256, 272, 288, 304, 320, 336, 10, 26,
42, 58 321, 337, 11, 27, 43, 59, 75, 91, 107 313, 329, 3, 19, 35, 51, 67, 83, 99,
115 36, 52, 68, 84, 100, 116, 132, 148, 164 28, 44, 60, 76, 92, 108, 124, 140, 156,
172 93, 109, 125, 141, 157, 173, 189, 205,
221 85, 101, 117, 133, 149, 165, 181, 197,
213, 229 150, 166, 182, 198, 214, 230, 246, 262,
278 142, 158, 174, 190, 206, 222, 238, 254,
270, 286 207, 223, 239, 255, 271, 287, 303, 319,
335 This time, 12 series coil groups were created. The electric vector relationships of each group are as follows.

Slot 199 (+) cos5616/19° +j sin5616/19° 1 (+) 1 slot 264 (+) cos5313/19° +j sin5313/19° 50 (+) cos33/19° + j sin33/19° Slot 256 (- ) cos5616/19° +j sin5616/19° 58(-) 1 slot 321(-) cos5313/19° +j sin5313/19° 107(-) cos33/19°+j sin33/19° slot 313(+) cos5616/1 9゜ +j sin5616/19゜ 115(+) 1 slot 36(+) cos5313/19゜ +j sin5313/19゜ 164(+) cos33/19゜+j sin33/19゜ slot 28(-) cos5616/19゜ +j sin5 616/ 19 ゜ 172 ( -) 1 slot 93 ( -) 1 COS5313 / 19 ゜ + J Sin5313 / 19 ゜ 221 ( -) COS33 / 19 ゜ + J SIN33 / 19 ゜ Slotsuto 85 ( +) COS5616 / 19 ゜ + J SIN5616 / 19 ゜ 229 ( +) 1 slot 150 ( +) COS5313 / 19 ゜ + J Sin5313 / 19 ゜ 278 ( +) COS33 / 19 ゜ + J Sin33 / 19 ゜ Slotsuto 142 ( -) COS5616 / 19 ゜ + J Sin5616 / 19 Rosato 207(-) cos5313/19° +j sin5313/19° 335(-) cos33/19°+j sin33/19° Groups that are the same in terms of electric vectors are roughly divided into two groups.
Therefore, one coil group is selected from each of the former and latter groups and connected in series to form six coil groups, which are used as basic groups for obtaining parallel connections. The arrangement of these coils is shown in FIG.
FIG. 10 shows a typical example of how to construct a parallel circuit.

Example 6 As an example of n/m=6/7, the number of slots for one pole and one phase is 26/7.
, 42 poles, 360 slots.

3, 3, 3, 3, 3, 3, 2 for 26/7
As a result, the following series of coils are obtained. However, the winding pitch is 26/7×6=17.1≒17, and the back pitch is 8 and the front pitch is 9.

38, 55, 72, 89, 106, 123, 140, 157,
174, 191, 208, 225, 242, 259, 276, 293,
310, 327, 344, 1 98, 115, 132, 149, 166, 183, 200, 217,
234, 251, 268, 285, 302, 319, 336, 353,
10, 27, 44, 61 158, 175, 192, 209, 226, 243, 260, 277,
294, 311, 328, 345, 2, 19, 36, 53, 70,
87, 104, 121 218, 235, 252, 269, 286, 303, 320, 337,
354, 11, 28, 45, 62, 79, 96, 113, 130,
147, 164, 181 278, 295, 312, 329, 346, 3, 20, 37,
54, 71, 88, 105, 122, 139, 156, 173, 190,
207, 224, 241 338, 355, 12, 29, 46, 63, 80, 97, 114,
131, 148, 165, 182, 199, 216, 233, 250,
267, 284, 301 Six series coil groups were created.
Number of poles/m = 6, 1, 2, 3, and 6Y connections are possible. This time, each of the 6 groups will be the basic group. The electric vector position is as follows.

Slot 38(+) cos 57° +j sin57° 1(+) 1 slot 98(-) cos57° +j sin57° 61(-) 1 slot 158(+) cos57° +j sin57° 121(+) 1 slot 218(-) ) cos57゜ +j sin57゜ 181 (-) 1 slot 278 (+) cos57゜ +j sin57゜ 241 (+) 1 slot 338 (-) cos57゜ +j sin57゜ 301 (-) 1 These coil arrangements are shown in Figure 11. Indicated. FIG. 12 shows a typical example of how to construct a parallel circuit.

Example 7 Examples 1 to 6 show cases where m is an odd number, but it will be shown here that m may be an even number. 21/4, 16 poles,
Number of slots: 108.

For 21/4, it becomes 3, 2, 2, 2, and the following series of coils are obtained. However, the winding pitch is 21/4×6=13.5≒13.

Let the back pitch = 6 and the front pitch = 7.

57, 70, 83, 96, 1 77, 90, 103, 8 84, 97, 2, 15, 28 104, 9, 22, 35 3, 16, 29, 42, 55 23, 36, 49, 62 30, 43, 56, 69, 82 50, 63, 76, 89 Eight series coil groups were created. The electric vector relationships of each group are as follows.

Slot 57 (+) cos531/3° +j sin531/3° 1 (+) 1 slot 77 (-) cos462/3° +j sin462/3° 8 (-) cos62/3° + j sin62/3° Slot 84 (+ ) cos531/3° +j sin531/3° 28(+) 1 slot 104(-) cos462/3° +j sin462/3° 35(-) cos62/3°+j sin62/3° slot 3(+) cos531/3゜ +j sin531/3゜ 55(+) 1 slot 23(-) cos462/3゜ j sin462/3゜ 62(-) cos62/3゜+j sin62/3゜ slot 30(+) cos531/3゜ +j sin531/ 3゜ 82 (+) 1 slot 50 (-) cos462/3゜ +j sin462/3゜ 89 (-) cos61/2゜+j sin62/3゜ Groups that are the same in terms of electric vectors are roughly divided into two. . Number of poles/m=16/4=
4 Therefore, 1, 2, and 4Y are possible, and one set is taken from each of the former and latter groups and connected in series to create four coil groups, and these are used as the basic group for obtaining parallel connections. These coil arrangements are shown in FIG. FIG. 14 shows a typical example of how to construct a parallel circuit. When the denominator of the fraction of the number of slots per pole and one phase is 4, the winding pitch may be 0.5 when expressed as a decimal.For example, when the winding pitch is 13.5, it may be ≒13 or ≒14. There are two possible ways to connect the wires, either of which can be used. Practically speaking, it is more economical to set it to ≒13 because the coil end length will be shorter.

Although the above description has been made regarding fractional slot winding other than 1/2, the same concept can be applied to 1/2 slot winding and integer slot winding. In that case,
When using 1/2 slot winding, the number of parallel circuits = number of poles/a common divisor of 2; when using integer slot winding, the number of parallel circuits is a common divisor of the number of poles.

As a general case, when the winding pitch is an even number, the front pitch = back pitch, and when the winding pitch is an odd number, the front pitch - 1 = back pitch. However, when the winding pitch is an odd number, the front pitch + 1 = back pitch. The same thing applies to things.

The slot number taken out by the winding pitch may be either only the top coil or only the bottom coil.

The explanation was given using something close to full-pitch winding, but in order to make short-pitch winding, the front pitch is reduced by a few slots, the back pitch is increased by that amount, and the winding pitch is kept the same. Of course it's a good thing. On the other hand, it is also possible to make it a long winding.

According to the present invention, just like the lap winding, for any combination of the number of poles and the number of slots, the wave winding with the number of parallel circuits that is a common divisor of the number of poles/m does not require special connection wires. The degree of freedom in selecting the number of slots in the rotary machine design is significantly increased, and there is no need for extra connection wires.
In addition, since the number of connection lines can be reduced, it is very effective in achieving an economically appropriate mechanical design.

[Brief explanation of the drawing]

Figure 1 shows the coil arrangement for one phase of a wave winding with 42 poles, 270 slots, 1 pole, 1 phase, and 21/7 slots. Figure 2 shows the coil arrangement determined in Figure 1. External wiring diagram to obtain parallel connections 6Y, 3Y, 2Y, 1Y, Figure 3 shows 42 poles and number of slots.
288, Coil arrangement diagram for one phase of wave winding with 1 pole, 1 phase and 22/7 slots. Figure 4 is an external wiring diagram for obtaining parallel connection for the coil arrangement in Figure 3. Figure 5
The figure shows a coil arrangement diagram for one phase of wave winding with 42 poles, 306 slots, 1 pole, 1 phase, and 2 3/7 slots.
Fig. 6 is an external wiring diagram for obtaining parallel connection for the coil arrangement shown in Fig. 5, and Fig. 7 is one of the wave windings with 42 poles, 324 slots, and 1 pole/1 phase with 24/7 slots. Coil arrangement diagram for each phase, Figure 8 is an external wiring diagram to obtain parallel connection for the coil arrangement in Figure 7, Figure 9 is 42 poles, 342 slots, 1 pole 1
A coil arrangement diagram for one phase of a wave winding with a number of phase slots of 25/7. Figure 10 is an external wiring diagram for obtaining parallel connection for the coil arrangement in Figure 9. Figure 11 is a 42
Number of poles and slots: 360, 1 pole, 1 phase, 2 slots
Coil arrangement diagram for one phase of 6/7 wave winding, No. 12
The figure shows an external wiring diagram for obtaining parallel connection for the coil arrangement in Figure 11. Figure 13 shows one phase of a wave winding with 16 poles, 108 slots, and 21/4 slots per pole per phase. FIG. 14 is an external connection diagram for obtaining parallel connection to the coil arrangement of FIG. 13, and FIG. 15 is a slot arrangement diagram. Explanation of symbols, U ₁ , U ₂ ... U phase winding, X ₁ , X ₂ ...
...neutral point.

Claims (1)

[Claims] 1. In a fractional slot winding in which the number of slots of one pole and one phase is k+n/m (k, m, and n are integers, and n/m is an irreducible fraction), at a predetermined winding pitch. Connect as many coils as can be wound in series to create several groups, divide these groups by voltage vector, and connect the required number of coils from each group to obtain the number of poles/m. A wave winding winding for an alternating current machine characterized by obtaining windings with a common divisor number of parallel circuits.