Theory and calculation of alternating current phenomena . .f., OGi, is in the direction of the vector,OliVi. Completing the parallelogram of with OF asdiagonal and OGi, as one side, gives the primary , OG,as other side. The primary current and the consumedby the primary resistance, represented by OIvo, is in line withOG, the consumed by the primary reactance 90° aheadof OG, and represented by OIxo, and their resultant, OIzo, is consumed by the primary impedance. The gener-ated in the primary circuit is OE, and the required toovercome this cou
Theory and calculation of alternating current phenomena . .f., OGi, is in the direction of the vector,OliVi. Completing the parallelogram of with OF asdiagonal and OGi, as one side, gives the primary , OG,as other side. The primary current and the consumedby the primary resistance, represented by OIvo, is in line withOG, the consumed by the primary reactance 90° aheadof OG, and represented by OIxo, and their resultant, OIzo, is consumed by the primary impedance. The gener-ated in the primary circuit is OE, and the required toovercome this counter is OE equal and opposite to OE with OIzo gives the primary terminal voltagerepresented by vector OEo, and the angle of primary lag,EoOG - 6*0. POLYPHASE INDUCTION MOTORS 215 160. Thus far the diagram is essentially the same as thediagram of the stationary alternating-current transformer. Re-garding dependence upon the slip of the motor, the locus ofthe different quantities for different values of the slip, s, isdetermined thus,. Fig. 119. Let Ei = in opposition to 0$, a point. A, such thatOA -^ IiTi = El -^ Iisxi, then ^. IiVxXEi 7iri X sE ri „, UA = —7 = —f = — E = constant. llSXi liSXi Xi That is, IiTi lies on a half-circle with OA = — £ as diameter. ^1 That means Gi lies on a half-circle, gi, in Fig. 119 with OCas diameter. In consequence hereof, Go lies on half-circle gowith FB equal and parallel to OC as diameter. 216 ALTERNATING-CURRENT PHENOMENA Thus Ito lies on a half-circle with DH as diameter, whichcircle is perspective to the circle, FB, and Ixo lies on a half-circle with IK as diameter, and Izo on a half-circle with LNas diameter, which circle is derived by the combination of thecircles, Itq and Ixq. The primary terminal voltage, Eo, lies thus on a half-circle,eo, equal to the half-circle, Izo, and having to point E the samerelative position as the half-circle, Izo, has to point 0. This diagram corresponds to constant i
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