Page 107 - Industrial Power Engineering and Applications Handbook
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                                               Torque curve
                                            /- obtained

                                                                                        With rotor's
                                                                                        own R2






                                                                                       -T







                                                             \









                                                    Speed -                            L
                                                                                       Ns
                 S1                     52              s3        s4



                                Figure 5.6(a)  Torque curve with a five-step external resistance




                                                       From (a) and (b)


         where R2,, RZ2, . . . RZs etc. are total rotor resistances per
         phase after introducing the external resistances, or
                                                       ...   R22  = p. R2,
                                                (5.2)
                                                            RZ3  = p  R,,  = P'  . R,,  etc.
         At the start, when SI = 1                     and   R2 = P. RZ5
                                                               = P  ' P4 . R2,
                                                               = ps . R2,
         Similarly                                                   R
                                                                         or p5 = s,,,
                                                       or    R 2- -p5.2
                                                                     Smax
                                                        :.    p =

                                                       Generalizing this for a number of  resistance steps a,
           R21
                          R,,
                 R22
         or  -      etc. = -                            P= G
               =
                 ~
            s2   s3       Smax                                                                 (5.3)
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