1492 THE BELL SYSTEM TECHNICAL JOURNAL, NOVEMBER 1957 



shoe. The positive winding sense for a given pole-shoe is that of the 

 exciting coil. The electrical angle of a pole-shoe is its mechanical angle 

 measured clockwise, with respect to a reference on the stator, multiplied 

 by the number of rotor teeth (the order of this resolver). 



The winding which produces the cosine voltage, Cc , consists of ten 

 coils, one on each pole-shoe, connected in series. Each coil has a dif- 

 ferent number of turns depending on the pole-shoe to which it belongs. 

 Specifically, this number of turns is equal to a design constant '7" 

 multiplied by the cosine of the electrical angle of the pole-shoe. Similarly, 

 the winding which produces the sine-voltage, Cs , consists of ten coils, 

 one on each pole-shoe. The number of turns of each coil is equal to the 

 same constant "i" multiplied by the sine of the electrical angle of the 

 particular pole-shoe. 



With ae being the electrical angle between adjoining pole-shoes and 

 with the electrical angle of pole-shoe No. equalling zero, the turns of 

 the coils of the cosine-winding on pole-shoes No. through 9 are: 



tco = t COS (0) 

 tcl = t COS (ae) 



(6) 



tc9 = t COS {9ae) . 



Similarly the turns distribution, ^ , of the sine winding is: 



tso = t sin (0) 

 tsi = t sin (qjc) 



(7) 



ts% = t sin (9ae) 



Fig. 4 — Rotor lamination of the vernier resolver. 



