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From the Rolls-Royce experimental archive: a quarter of a million communications from Rolls-Royce, 1906 to 1960's. Documents from the Sir Henry Royce Memorial Foundation (SHRMF).
The mathematical principles of armature wave windings.

Identifier  ExFiles\Box 68\4\  scan0166
Date  9th October 1918
  
E7.C
EFC/L.9.10.18.

X.1640. ARMATURE WINDINGS.

(1) Wave Windings.

Let number of conductors = n (virtual).
" " poles = p

Then both n and p must be even.

In n ± 2 conductors there must be p steps
{ (+ means progressive)
{ (- " retrogressive)

Hence pitch z = (n ± 2) / p

The pitch must be odd.

Hence (n ± 2) / P = 2k + 1 where k is an integer representing step of winding.

n ± 2 = (2k + 1) p

{ n = (2k + 1) p โˆ“ 2
{ z = 2k + 1

(Handwritten note pointing to the 'โˆ“' symbol: {- means progressive, + means retrogressive})
  
  


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