SINGLE-PHASE COMMUTATOR MOTORS 395 the speed, So, at which the total torque vanishes, and reduces the power-factor and efficiency. 218. As an example are shown in Fig. 188 the characteristic curves of a repulsion motor, with the speed, S, as abscissae, for the constants: Impressed voltage: e = 500 volts. Exciting impedance, main field: Z = 0.25 + 3 j ohms, cross field: Z' = 0.25 + 2.5 j ohms. / 1 1 1 1 700 G50 600 550 500 450£ 400 < 3500 3005 250 200 150 100 50 0 f e «soo VOLTS Z«0.25+3j Z i=0. 025 + 0.075 j Z- 0.25 + 2.5J Z2-0.025 + 0.075J Zo-0.1 H- 0.3 j Z4-7.5 + 10j C 0s- 0.4 C4 = 0.04 s 1 "s.^ \ — 1 1 \ \ D \ \ l\ j ^_ N \- „- ^•*' •V* *• -^ *^ ^., -SN —7 / >• >'r \s s" \ Ik '*>, \ ^N, \^ 3 / ^ \ ^ s ^ ^ \ / / \ ^ ^~ 1 t \ \ J/ \ ^ & ^ \ ^ y -"•" \ -^, —/ s ^. ^ ^ >^ \ \ // Y ^ ^ rsT •^^ •^s •*«». 55»- \ \ \ i i / ^ *^. — ^ ^^ •«^. ""•-» \ \ V ~Z 1. ^= 8 2 .0 2 o ^. 2 .4 0 0,2 0.4 0.6 0.8 1.0 1.2 1.4 1.6 SPEED , FIG. 188. Self-inductive impedance, main field: ZQ = 0.1 + 0.3 j ohms. cross field: Z2 = 0.025 + 0.075 j ohms, armature: Zi = 0.025 + 0.075 j ohms, brush short-circuit: Z4 = 7.5 + 10 j ohms. Reduction factor, main field: c0 = 0.4. brush short-circuit: c4 = 0.04. Hence: Z3 = 0.08 + 0.60 j ohms. A = 0.835- 0.014 j. = a ja" = 1.20 + 0.02 j. Xx = 0.031 - 0.007 j. X4 = 0.1 79 + 0.087 j. A4 = 4.475 + 2.175 j. A3 = 0.202- 0.010 j.