. The Bell System technical journal . eeth (the order of this resolver). The winding which produces the cosine voltage, Cc , consists of tencoils, 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 , this number of turns is equal to a design constant 7multiplied 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 thesame constant i multiplied by the
. The Bell System technical journal . eeth (the order of this resolver). The winding which produces the cosine voltage, Cc , consists of tencoils, 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 , this number of turns is equal to a design constant 7multiplied 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 thesame constant i multiplied by the sine of the electrical angle of theparticular pole-shoe. With ae being the electrical angle between adjoining pole-shoes andwith the electrical angle of pole-shoe No. 0 equalling zero, the turns ofthe coils of the cosine-winding on pole-shoes No. 0 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). ORDER OFRESOLVER NUMBER OFROTOR TEETH 26 26 27 27 32 32 33 33 Fig. 4 — Rotor lamination of the vernier resolver. VEKXIER RESOLVER 1493 To obtain the voltage induced in the output coils, the flux amplitudefor each pole-shoe must be established. Defining the electrical angle ofthe rotor, de , as its mechanical angle multiplied by its number of teethand choosing de to be zero when the center of a rotor tooth lines up withthe center of pole-shoe No. 0, one can write for the flux amplitudes00 through 09 of pole-shoes No. 0 through No. 9: 00 = .4u + Ai cos de + A2 COS 26e A- ■ • • 01 = Ac + Ai cos (de - ae) + ■•• (8) 09 = .4o + Ai cos {de - 9oie) + where Ao, Ai, A2,... are the Fourier Components of 0. The amplitude, Ec, of the voltage induced in the cosme winding isthe sum of the products of the pole-shoe flux, 0^ , measured in [volt sec]and the coil turns, tc^, multiplied by the exciting current frequency inradians per second, w: 9Ec = 0)
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Keywords: ., bookcentury1900, bookdecade1920, booksubjecttechnology, bookyear1
