Armature Windings

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The armature winding

A). Lap winding- this winding forms a loop as it


expands around the armature
 Progressive winding- winding expands from
left to right (use + sign)

 Retrogressive winding- winding expands


from right to left (use - sign
THE ARMATURE WINDING, CONT.
The armature winding, cont.
B). Wave winding- this winding forms a wave as
it expands around the armature
Y= (Z ± 2m)/ P
Y= (Yb+ Yf)/ 2
Where:
Y- average pitch (must be an integer)
Z- total no. Of winding elements on
the surface of the armature core
M- multiplicity factor (1 for simplex,
2 for duplex)
P- no. Of poles
Yb- back pitch
Yf- front pitch
The armature winding, cont.
Types of Winding Elements per Slot
Simplex 2
Duplex 4
Triplex 6
Quadruplex 8

Minimum Number of Elements or Conductors


Number of Armature Current Paths
per slot (If not specified in the problem)
Z= (Elements/ slot)(Total no. of slot) a(Lap)= mP a(Wave) = 2m

Number of Brushes (N) Number of Commutator Segments Coil Pitch (Ys)

N(Lap)= P N(Wave)= 2 NC= Z/2 Ys= Coil span in slots/ Slots per pole
The armature winding
Sample problems:
1. In a lap winding the front pitch is 17 and the back is 19. What is the average pitch?
The armature winding
2.The difference between the back pitch and the front pitch is 2. The front pitch is 21. If the
winding is lap retrogressive, what is the back pitch?
The armature winding, cont.
Sample problems:

3. If the armature of an 8-pole machine were wound with a simplex wave winding, how many
parallel paths would there be?
The armature winding, cont.
4. A four-pole dc generator with lap winding has 48 slots and 4 elements per slot. How many coil
does it have? Assume one conductor per coil side.
The armature winding, cont.
Sample problems
5. A duplex lap wound, four-pole dc generator has 120 slots and four elements per slot. How
many commutator segments are there?
The armature winding, cont.
Sample problems
6. A 4-pole wave wound armature has 744 armature conductors in 62 slots. If the
commutator has 186 segments, determine a). The coil span. 15 b). The no. Of conductors
per coil.
Generated emf equation
Generated emf equation of a DC
generator

E= PNZΦ/ 60a
Where:
E- generated emf (volt)
P- number of poles
N- speed of armature core rotation (rpm)
Z- total no. Of elements or conductors
Φ- flux per pole (weber)
A- no. Of armature current paths
Generated emf equation, cont.
If the flux is given in unit maxwell’s or lines,
the above formula reduces to;

E= (PNZΦ X / 60a) 10-8


Where:
E- generated emf (volt)
P- number of poles
N- speed of armature core rotation (rpm)
Z- total no. Of elements or conductors
Φ- flux per pole (maxwell)
A- no. Of armature current paths
Generated emf equation, cont.
After the machine has been assembled, PZ and
60a are constant;

E= kNΦ E1/ E2= N1 Φ1 / N2 Φ2

Where:
E- generated emf (volt)
K- proportionality constant
N- speed of armature core rotation (rpm)
Φ- flux per pole (maxwell)
Subscript 1- for condition 1
Subscript 2- for condition 2
Generated emf equation, cont.
Sample problems:
1. A 4-pole dc generator with duplex lap windings has 48 slots and 4-elements per slot. The flux per
pole is 2.5 x106 maxwells and it runs at 1500 rpm. What is the output voltage?
Generated emf equation, cont.
2. A 4-pole dc generator with simplex wave windings has 72 slots. The flux per pole is 2.88 x106 maxwells.
What is the speed of the prime mover when the open circuit voltage of the generator is 120 volts?
Generated emf equation, cont
3. A dc generator is driven at a speed of 1000 rpm and generates 120 volts. Determine the
generated emf if the speed is reduced to 900 rpm while the flux is increased by 25 percent.

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