1.3 Concentrated and Distributed Winding
In three phase alternators, we have seen that there are three
different sets of windings, each for a phase. So depending upon the
total number of slots and number of poles, we have certain slots per
phase available under each pole. This is denoted as 'm'.
m = Slots per pole per phase = n/number of phases
= n/3 (generally no. of phases is 3)
For example in 18 slots, 2 pole alternator we have,
n = 18/2 = 9
and m = 9/3 = 3
So we have 3 slots per pole per phase available. Now let 'x'
number of conductors per phase are to be placed under one pole. And we
have 3 slots per pole per phase available. But if all 'x' conductors per
phase are placed in one slot keeping remaining 2 slot per pole per
phase empty then the winding is called concentrated winding.
Note : So in concentrated winding all conductors or coils belonging to a phase are placed in one slot under every pole.
But in practice, an attempt is always made to use all the 'm'
slots per pole per phase available for distribution of the winding. So
if 'x' conductors per phase are distributed amongst the 3 slots per
phase available under every pole, the winding is called distributed
winding. So in distributed type of winding all the coils belonging to a
phase are well distributed over the 'm' slots per phase, under every
pole. Distributed winding makes the waveform of the induced e.m.f. more
sinusoidal in nature. Also in concentrated winding due to large number
of conductors per slot, heat dissipation is poor.
Note : So in practice, double layer, short pitched and distributed type of armature winding is preferred for the alternators.
Example 1. : Draw the developed diagram for full pitch armature
winding of a three phase, 4 pole, 24 slots alternator. Assume single
layer winding and of distributed type.
Note : This example will explain all the winding terminologies discussed earlier.
Solution : P = 4, 24 slots , 3 phase
... n = Slots per pole = 24/4 = 6
m = Slots per pole per phase = n/3 = 6/3 = 2
β = Slot angle = 180o /n = 180o /6 = 30o
Full pitch coils are to be used so if phase 1 say R is started in
slot 1, it is to be connected to a coil in slot 7 so that coil span
will be 6 slots i.e. 'n' slots i.e. 1 pole pitch.
As distributed winding is to be used, both the slots per pole per
phase (m = 2) available are to be used to place the coils. And all
coils for one phase are to be connected in series. So from slot No.7 we
have to connect it to coil slot No.2 and slot No.2 second end to slot
No.8 and so on. After finishing all slots per phase available under
first pair of pole, we will connect coil to slot No.13 under next pole
ans winding will be repeated in similar fashion. The starting end Rs and final end Rf winding for R-phase are taken out finally. Connections for R-phase only are shown in the Fig. 3.
Fig. 3 Developed winding diagram for 'R' phases |
Now, we want to have a phase difference of 120o between 'R' and 'Y'. Each slot contributes 30o as β = 30o . So start of 'Y' phase should be 120o apart
from start of 'R' i.e. 4 slots away from start of R. So start of 'Y'
will be in slot 5 and will get connected to slot No.11 to have full
pitch coil. Similarly start of 'B' will be further 120o apart
from 'Y' i.e. 4 slots apart start of 'Y' i.e. will be in slot No.9 and
will continue similar to 'R'. Finally all six terminals of three sets
will be brought out which are connected either in star or delta to three
ends R,Y and B outside to get three phase supply. The entire winding
diagram with star connected windings is shown in the Fig. 4.
Fig. 4 Winding diagram for all three phases |