Page 223 - Electrician - TT (Volume 1)
P. 223

N

                                      N

                          60
                                      60
                          60

                                      60

                          N
                                      N
                                    J


                                             N
                              T   π   2
                                                J


                                          T   π   2
                                 60
                                                 S
                            2π
                               .NT


                                        2π


                           60
                              x
                                       60
                                           746
                           2π

                              N.T
                                  J

                                       2π


                                          N.T
                                    or
                                              J
                                   S

                                                or

                             60

                                               S
                                         60

                            2π

                              .N.T
                                  HP
                                          .N.T

                                        2π

                                              HP

                               746
                              x
                           60
                                          x
                                       60
                                           746

                           2π
                              N.T
                                  J


                                       watts
                                       2π
                                          N.T
                                    or
                                              J
                                   S
                                                   watts

                                                or
                             60
                                               S
                                         60
                                 2π

                                    .NT
                                       a


                                                .NT
                           Eb
                                             2π

                              la
                                                  a


                                       Eb
                                          la
                                   60
                                               60

                              Eb 746 N HP   S  watts  x  .NT 60 HP    watts
                                   60
                                Ia
                          Ta              Eb   Ia  60
                                2π N    Ta    2π N
          ELECTRICIAN - CITS

                           9.55
                               Eb

                                  Ia
                                   N     m      Eb   Ia
                                       9.55
                               N               N     m
                                           N
           Shaft torque(tsh) / output torque
                              .NT
                            2π

                                  BHP    2π   .NT
           •   Power equation of a shaft      BHP
                           60x746
                                       60x746
                               2π   .NTsh
                          BHP              2π   .NTsh
                               60  x  746  BHP
                                           60  x  746
           •   Shaft torque  Tsh    BHP  x  60  x  746 BHP  x  60  x  746

                                      Tsh
                                     N
           •    Ta    Eb   Ia  60  Eb   Ia  2π Eb   Ia  60  2π  N
                                   60
                                Ta
                                       2π
                    2π N    Ta    2π  N   Ta    Eb  N   Ia  60
                  ΦZN   P            ΦZN  2π P N
             Eb              ΦZN   P
                                Eb
                   60  a Eb    60   a Eb   60  a P
                                      ΦZN
                  ΦZN   P  Ia  60    ΦZN    P a  Ia  60
                                       60
                                   P
             Ta              ΦZN      Ia  60
                                Ta
                                      ΦZN
                   60  a Ta   2π N      60  a P    2π Ia
                                                 N   60
                              60   a Ta    2π N
                                        Ia
             Ta   K.Φ   Ia    or  Ta   K.Φ   60      or a  2π N
                        Ta
           •   Ta = Κ. Φ Ιa or  K.Φ   Ia    or
                                      Ia Ia Φ
             Ta    α    Φ   Ia  Ta    α   Ta  Φ     K.     or
           •   Τα α Φ Ια  Ta    α    Φ   Ia
                                        Ia
                                       α
                                      Φ

                  ΦZN   P         Ta  ΦZN  P
             Eb              ΦZN   P
                                Eb
                                          a P
                   60   a Eb    60   a Eb   60
                                      ΦZN
             Eb    K   ΦN       Eb    K  60
                                       ΦN a
                        Eb   K   ΦN
              Eb                Eb Eb   K   ΦN

                         or
                    K   N       Eb     K   N       or
              Φ          Φ    K   N       or K   N       or
                                 Φ Eb

                 Eb               Φ Eb
                  α   N     Eb       α   N
                 Φ           α   N  Φ Eb
                            Φ         α   N
                                     Φ
           Speed,back emf and fluxes
                     k  Eb1             k  Eb1
                                 1
             N1                Eb k  N1           eq.(1)
                             eq.(1)
                   Φ1   N1               Φ1 Eb k   eq.(1)
                                          1
                              Φ1 N1                eq.(1)
                                       Φ1
                     k  Eb2             k  Eb2
             N2                 Eb k eq.(2)              eq.(2)
                                 2
                                N2
                   Φ2   N2               Φ2 Eb k   eq.(2)
                                          2
                              Φ2 N2                 eq.(2)
                        Φ
              N1     Eb 1   N1    Eb N1  Φ 2 Eb Φ2  Φ 2
                          2
                                        1


                                1


              N2   Φ 1  Eb 2     N2 N1  Φ Eb  Eb Φ
                                       1 1
                                             2 2
                         N2   Φ 1  Eb 2
                                  N2   Φ 1  Eb 2
              N1   Eb 1 Φ 2     N1   Eb 1 Φ 2
                        N1    Eb 1 Φ 2



              N2   Eb 2  Φ 1     N2 N1  Eb Eb  Φ 1 2
                                        2 1 Φ
                         N2   Eb 2  Φ 1
                                  N2
                                       Eb
           Flux and torques 1   Ta 1  Ia 1  2  Φ Φ 1
                        Φ
                   Ia
              Ta
                     1
                1
                                            1
                        Ta   1  Ia 1  Φ   1


              Ta 2  Ia 2  Φ 2     Ta Ta  IaIa  Φ 2 1Φ
                                   2 1
                                        2 1
                         Ta 2  Ia 2  Φ 2
                                  Ta 2  Ia 2  Φ 2
                 E.b               E.b
               α   N        E.b   α   N
                          α   N
           Characteristics of dc motors
                 Φ
                                    Φ E.b
                            Φ
                                   α   N
                  α   T
                     so,
                    ,
                 Φ

                  Ia
                                     Ia dc motor are:
                                   Φ
                                     α   T
           The important characteristics  of ,   Φ  so,
                                so,
                            Φ

                             α   T
                              Ia
                                ,
                                         so,
                                    1 Ia Φ  α   T
                 1
                                         ,
           1   Torque/ Armature current(T / Ia )
                  α   N     1        α   N
                             α   N
                 T
                                   T 1
           2   Speed / Armature current (N / Ia )
                            T
                                      α   N
                                     T
           3   Speed /Torque (N /T)  E.b
                 E.b
               α   N        E.b   α   N
                 Φ        α   N     Φ E.b
                            Φ      α   N
                                      Φ
                 V   Eb             V   Eb
             Ia              V   Eb                        210
                                Ia
                   Ra   Ia            Ra EbV
                              Ra Ia
                                    CITS : Power - Electrician & Wireman - Lesson 30-37
                                       Ra
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