SINGLE-PHASE COMMUTATOR MOTORS 417 at motors, all under the assumption of the same constants: Z = 0.25 -f 3j, Z' = 0.25 -f 2.5 j, z0 = o.i + 0.3 y, Z2 = 0.025 4 0.075 j, Zi = 0.025 4'0.075 j, £4 = 4 4 2 j, Co = 0.3, c4 = 0.03. /e I gives the commutation factor of the motor as induct- ompensated series motor (t = 0), as constant, fc = 3.82, , the current change at leaving the brushes is 3.82 times tin current. Such condition, under continued operation, give destructive sparking. ro, II shows the series repulsion motor, mth 20 per cent, of Itage on the compensating winding, t = 0.2; and fe III with half the voltage on the compensating winding, >. fe IV corresponds to.t = I, or all the voltage on the com- ing winding, and the armature circuit closed upon itself: on motor with secondary excitation, re V corresponds to t = 2, or full voltage in reverse direction sed upon the armature, double voltage on the compen- winding. re VI gives the minimum cornmutation factor, as derived ying t with the speed, in the manner discussed "before. further comparison are given, for the same motor nts: re VII, the plain repulsion motor, showing its good com- on below synchronism, and poor commutation above onism; and re VIII, an overcompensatecl series motor, that is, eon- jly compensated series motor, in which the compensating g contains 20 per cent, more ampere-turns than the arma- ) giving 20 per cent, overcornpensation. seen, overcompensation does not appreciably improve itation at low speeds, and spoils it at higher speeds. 194 also gives the- two components of the compensating #2, which are required to give perfect cornmutation, or. mmutatioix current; <; ' A fir, m