1500 THE BELL SYSTEM TECHNICAL JOURNAL, NOVEMBER 1957 



(w ± 1) ae = k2Tr . (15) 



The electrical angle ae being the mechanical angle between successive 

 pole-shoes divided by the number of rotor teeth is: 



27rn , . 



Oie = . (16) 



p 



Dividing p and 7i by the largest common integral factor, one can write 



«. = '^'. (17) 



Substituthig this expression into (15) and solving for m, one obtains 



m = ^ ± 1 (18) 



n 



where m and k are integers or zero. Consequently, (18) is satisfied for 

 the following values of m: 



m=l; g±l; 2q zL 1; ■ ■ • . (19) 



The amplitude of the voltage, Esm , induced in the sine winding by flux 

 harmonics of order m, where m is specified by (19), is 



7) 



Esm = ~ Amtu sin {7nde). (20) 



Similarly one obtains for the voltages, Ecm , induced in the cosine 

 winding 



Ecm = ^ Ajw cos (mde). (21) 



