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(i) MMF For Airgap (Atg):-
MMF for the Airgap can be calculated by
𝑨𝑻𝒈 =800000 BgKgLg
(ii) MMF For Armature Teeth (Att):-
Generally Parallel Sided slots are used in the
synchronous machines and therefore the
teeth are tapered.
We know that the mmf for teeth can be
calculated by finding flux density Bt1/3 at 1/3
height from the narrow end.
From the B-at Curve , the value of mmf permetre at1 can be find out corresponding to Bt1/3.
The length of flux path in the teeth is equal tothe depth of the slot ds.
(iii) MMF For Core (Atc):-
Corresponding to this flux density Bc, the mmfper metre atc for the core is found from B-atcurve for dynamo steel sheet.
Total mmf for core Atc = atc lc
And the length of flux path in the core is takenequal to one half of the pole pith on the meandiameter or
lc=ᴨ (𝐷+2𝑑𝑠+𝑑𝑐)
2𝑝
(iv) MMF For Poles (Atp):-
The flux in the poles is equal to the useful flux
which crosses the air gap and entres the
armature plus the leakage flux.
Actually the flux in the pole is not uniform
throught its radial length owing to different
values of leakage flux from the pole shoes and
pole bodies.
It is assumed for calculations that the top 2/3
length of pole carries the useful flux plus leakage
flux from both pole shoes and pole bodies.
Thus the flux at the pole top is minimum while at
the bottom it is maximum or
Minimum flux in the poles = ϕp(min)=ϕ+ ϕsl
And maximum flux in the poles = ϕp(max)=ϕ+ ϕsl+ ϕpl
The value of ϕsl and ϕpl are given by,
Axial length of body Lp=axial length of pole
shoe Ls
And Atl=Atg + Att + Atc
From the above it follows that:
Maximum flux density in the pole body
Bp(max) = ϕp(max)/Ap
And minimum flux density in the pole body
Bp(min) = ϕp(min)/Ap
The mmf per metre corresponding to Bp(max) and
Bp(min) are found from the B-at Curve.
And let them be atp(max) and atp(min)
Therefore total mmf for body is,
ATP= atp(max) hpl/3+atp(min) 2hpl/3
Continue…..
(v) MMF For Yoke (Aty):-
Flux in the yoke ϕy = ϕ + ϕsl + ϕpl
Area of yoke Ay = Length of yoke ⨯ depth of yoke
Flux density in yoke,
By= ϕy /Ay = ϕ + ϕsl + ϕpl/2Ldy
Corresponding to this flux density and the materialof yoke , the mmf per metre aty for the yoke is takenfrom the following fig.1 depending upon the type ofmaterial used
MMF for yoke Aty= atyly
Where ly= path of magnetic flux through the
yoke which is taken one half of the pole pitch
on the mean diameter of the yoke,
= ᴨ (𝐷𝑟−2ℎ𝑝𝑙−𝑑𝑦)
2𝑝
Total field mmf required at no load,
Atfo= Atg + Att + Atc + Atp + Aty
A Course in electrical Machine Design- By
A.K. Sawhney
Query ???
Thank you !