1490 THE BELL SYSTEM TECHNICAL JOURNAL, NOVEMBER 1957 



for d,n in (1); 



E, = E, sin {?,e,n) - E^ sin [3(3^„j] + 



(2) 



The magnitudes of the Fourier components depend on the design 

 details of the unit. In a properly designed unit all higher order Fourier 

 components are sufficiently small so that the induced signal voltages 

 closely approximate those of an ideal third order resolver as expressed 

 by the following equations: 



Ec = El cos (30„,), 

 E, = El sin (30„O, 



ds = tan~^ ~ = 39„ , 



(3) 



(4) 



(5) 



where ds is the signal-angle. 



2.2 Analysis of Practical Case 



Fig. 2 shows an assembled unit, and typical stator and rotor laminations 

 are illustrated in Figs. 3 and 4. 



Fig. 1 — Schematic of a 3rd order vernier resolver. 



i\ 



