D. C. COMMUTATING MACHINES 221 economy of high voltage alternating-current transmission and distribution. For railroading generally the series motor type is used, either the plain compensated series motor, or inductive modifications thereof, as the repulsion motor etc. In the repul- sion motor the armature, instead of being connected in series with field and compensating winding, is closed on itself and thus traversed by a secondary current induced by the compensating winding as primary that is, the armature is connected inductively in series. 2. As constant-speed motor where considerable starting torque is required, as for elevators, hoists, etc., and in general as self-starting single-phase motors. For this purpose, com- binations of repulsion and induction type or of series and in- duction type are used. 3. As adjustable speed, alternating-current motor of single- phase and of polyphase type. The synchronous motor and the induction motor both are constant and fixed speed, the former synchronous, the latter near synchronous. Operating the induction motor materially below synchronism, by arma- ture resistance, is inefficient and gives a speed which varies with the load. By changing the number of poles, or by concatena- tion, multi-speed induction motors can be produced. The gradual speed adjustment, as given by field control of direct- current motors, requires, however, a commutator on the al- ternating-current motor. If into the secondary of the induction motor an e.m.f. is introduced, the speed of the motor can be varied by varying the introduced e.m.f.; and lowered, if this e.m.f. is in opposition; raised beyond synchronism, if this e.m.f. is in the same direction as the e.m.f. induced in the motor secondary. As, however, the e.m.f. induced in the induction motor secondary is of the frequency of slip, the speed controlling e.m.f. must either be supplied through the commutator or de- rived from a low frequency commutating machine as source. 4. For power-factor compensation. In an inductive circuit, the current lags behind the voltage or, what is the same, the voltage leads the current, and the power-factor thus can be raised by compensation either by introducing a leading current, as from condenser or overexcited synchronous motor, or by in- troducing a lagging voltage. In the commutating machines, the voltage induced in the armature by its rotation is in phase with the field magnetism, and by lagging the field exciting current, 222 ELEMENTS OF ELECTRICAL ENGINEERING the commutating machines thus can be made to give a lagging voltage, that is, to compensate for low power-factor due to lagging current. Thus, by inserting such a commutating machine into the secondary of an induction machine, the latter can be made to give unity power-factor or even leading current. Such phase compensation is frequently used in alternating- current commutator motors to get good power-factor. Thus in the series motor, by shunting the field by a non-inductive re- sistance, and thereby lagging the field exciting component of the current and with it the field flux and the voltage induced in the armature by its rotation, behind the main current, the series motor can at higher speeds be made to give unity power- factor. At low speeds, such complete compensation is not possible, as the compensating voltage is proportional to the speed. C. SYNCHRONOUS CONVERTERS