Introduction to Double Layer Lap Windings:
Bbuild up the layout of a lap winding for a 3 phase ac machine comprising 4 pole and 24 slots. There are 2 coil sides per slot.
Solution: Coil groups per phase = 3 x 4 = 12
Slots per pole per phase, m =24/(3*4) = 2
Angle among the adjacent slots, â = 180/(24/4) = 300ε.
For full pitch coils, the coil span, á = 0, that is, angle among the two sides of similar coil is 1800e. 1800 corresponds to 180/â = 180/30= 6 slots.
Here 3 phase groups per pole, each having of 2 slots. The distribution of slots, of phase sequence RYB or ABC, is displayed in the below table.
Table: Polar Groups
Poles
N1
S1
N2
S2
Phase
R
B
Y
1,2
3,4
5,6
7,8
9,10
11,12
13,14
15,16
17,18
19,20
21,22
23,24
The start of the phases must be displaced through the 1200 and thus must be finishes. If the start of R or A phase lies in slot number 1, the start of Y or B phase must be in slot number.
(1 + 120/30 =) 5
And that of B or C phase in slot number (5 + 120/30 =) 9.
This creates the phase sequence RYB or ABC.
The top coil side in slot number 1 is to be connected to bottom coil side in slot number (1 + 6 =) 7 or back pitch, Yb = 13, in terms of coil sides, that is, if slot number 1 is at the beginning of the first North Pole that is denoted by N1, the slot number 7 will be at the beginning of the first South Pole that is denoted by S1.
The winding pitch, Y = +2 (progressive winding).
The front pitch, Yf = Yb - Y = 13 - 2 = 11.
At present, coil sides 1 and 14 form a coil. Coil side 14 is linked to coil side (14 - Yf =) 3, and coil side 3 is linked to coil side (3 + Yb =) 16. Thus coil sides 3 and 16 form the second and the last coils of this pole phase groups.
The below table express the winding table for RYB Phases.
Table: Winding Table for RYB Phases
S.No.
Top coil side (-Y )
Bottom coil side (+Y)
R or A phase per pole per phase
1
2
3
4
5
6
7
8
13
15
25
27
37
39
14
16
26
28
38
40
Y or B phase per pole per phase
9
10
11
12
21
23
33
35
45
47
22
24
34
36
46
48
B or C phase per pole per phase
17
18
19
20
29
31
41
43
30
32
42
44
The diagram below explains the complete main winding diagram for 3 phase 4 pole 24 slots double layer lap winding.
Question: build up the layout of a lap winding for a 3 phase ac machine comprising 2 pole and 24 slots. There are 2 coil sides per slot.
Solution: Coil groups per phase = 3 x 2 = 6. Slots per pole per phase, m = 24/(3*2) = 4
Angle among the adjacent slots, â = 180/(24/2) = 150ε.
For full pitch coils, the coil span, á = 0, that is, angle among the two sides of similar coil is 1800e.
Diagram - 3phase double layer lap winding
1800 corresponds to 180/ â = 180/15= 12 slots.
There are 3 phase groups per pole, each having of 4 slots. The distribution of slots, of
phase sequence RYB or ABC, is displayed in the table below.
North
South
1 - 4
13 - 16
5 - 8
17 - 20
9 - 12
20 - 24
Begin of the phases must be displaced through the 1200 and thus have to be finishes. If the begin of R or A phase lies in slot number 1, the start of Y or B phase must be in slot number
(1 + 120/15 =) 9 and that of B or C phase in slot no. (9 + 120/15 =) 17.
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