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Double Layer Lap Winding
Scheme
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Double Layer Lap Winding Scheme (1)
The relative electrical angle (expressed in the range of -180o
to 180o )
of the kth slot is: ( ) mod ( 1) 180 ,360 180slot k k
Of course, the relative electrical angle of In slot of the kth
coil is also:
( ) mod ( 1) 180 ,360 180coil k k
Step 1. Find the nominal coil span in slots
max fix ,1cS
SP
Step 2. Calculate the relative electric angle of In slot of all
coils
Step 3. Readjust In slot angles if their magnitude are greater
than 90o
For coil angles having a magnitude greater than 90o , the
coil
direction is reversed; thereby changing the angle by 180o.
1cS
SP
If S/P is an integer
If S/P is not an integer
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Double Layer Lap Winding Scheme (2)
For the angles calculated in last step, pick up those (S/m)
close to 0o
as phase A coils.
360mod ,360offS
m
where n is a integer value that makes Soff also an integer.
Step 4. Picking up (S/m) coils for Phase A
Step 5. Calculate the slot offset to wind other phases
Step 6. Check to find out whether the winding is valid.
The winding is valid if all slots contain two coil sides each.
If its not
valid, go back to Step 4 and pick up coils for Phase A.
From 3602
P
S
2 (1 ) 2 (1 )offS
S mn q mnmP
Phase B will start from slot (mod(Soff ,S)+1).
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Example 1: 3 Phase, 4 Pole, 15 Slot Machine (1)
Step 1. Find the nominal coil span in slots
15max fix ,1 3
4cS
Step 2. Calculate the relative electric angle of In slot of all
coils
Step 3. Readjust In slot angles if their magnitude are greater
than 90o
151.25
3 4q
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Example 1: 3 Phase, 4 Pole, 15 Slot Machine (2)
Step 4. Picking up (S/m) coils for Phase A
Step 5. Calculate the slot offset and wind other phases
2 (1 ) 2 1.25 (1 3 1) 10offS q mn
Phase B will start from slot 11
Phase C will start from slot mod(11+10, 15) = 6.
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Example 1: 3 Phase, 4 Pole, 15 Slot Machine (3)
Step 6. Check and find out the winding is valid.
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Example 2: 3 Phase, 10 Pole, 12 Slot Machine (1)
Step 1. Find the nominal coil span in slots
12max fix ,1 1
10cS
Step 2. Calculate the relative electric angle of In slot of all
coils
Step 3. Readjust In slot angles if their magnitude are greater
than 90o
120.4
3 10q
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Example 2: 3 Phase, 10 Pole, 12 Slot Machine (2)
Step 4. Picking up (S/m) coils for Phase A
Step 5. Calculate the slot offset and wind other phases
2 (1 ) 2 0.4 (1 3 3) 8offS q mn
Phase B will start from slot 9
Phase C will start from slot mod(9+8, 12) = 5
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Example 2: 3 Phase, 10 Pole, 12 Slot Machine (3)
2
3
4 5
6
7
8
9
10 11
12
1
1
2
7
8
3
4
9
10 11
Phase A Group 1
Phase B Group 2
Phase B Group 1
Phase A Group 2
5 Phase C Group 1
Phase C Group 2
12
6
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Example 2: 3 Phase, 10 Pole, 12 Slot Machine (4)
Slot Number Phase A Phase B Phase C
1 In Out
2 Out & Out
3 In Out
4 In & In
5 Out In
6 Out & Out
7 Out In
8 In & In
9 Out In
10 Out & Out
11 In Out
12 In & In
Step 6. Check and find out the winding is valid.
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Slot Pole Combination for Three Phase Machine
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S/P Ratios for Three Phase Machine
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Winding Diagram
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Example 1
3 Phase, 24 Slot, 2 Pole, 5/6 Pitch
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Three Phase Windings
1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23
24
A1 B1 C1 A2 B2 C2
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Phase A
1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23
24
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Phase B
1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23
24
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Phase C
1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23
24
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Example 2
3 Phase, 36 Slot, 4 Pole, 8/9 Pitch
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1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24
25 26 27 28 29 30 31 32 33 34 35 36
Three Phase Windings
A1 B1 C1 A2 B2 C2
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1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24
25 26 27 28 29 30 31 32 33 34 35 36
Phase A
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1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24
25 26 27 28 29 30 31 32 33 34 35 36
Phase B
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1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24
25 26 27 28 29 30 31 32 33 34 35 36
Phase C
