INDUCTION MOTOR 55 tion-motor secondary, the synchronous machine feeds low-fre- quency exciting currents into the induction machine, and thereby permits controlling it by using suitable voltage and phase; If the induction machine has n times as many poles as the synchronous machine, the frequency of rotation of the synchro- 1 I — s nous machine is ™- that of the induction machine, or-------How- n n ever, the frequency generated by the synchronous machine must be the frequency of the induction-machine secondary currents, that is, the frequency of slip s. Hence: or: 1 n"+ 1' that is, the concatenated couple is synchronous, that is, runs at constant speed at all loads, but not at synchronous speed, but at constant slip —-T-T- 72> ~"p JL . 4. Concatenation with a low-frequency commutating machine. If a commutating machine is mounted on the induction-motor shaft, and connected in series into the induction-motor secondary, the commutating machine generates an alternating voltage of the frequency of the currents which excite its field, and if the field is excited in series or shunt with the armature, in the circuit of the induction machine secondary, it generates voltage at the frequency of slip, whatever the latter may be. That is, the induction motor remains asynchronous, increases in slip with increase of load. 5. Excitation by a condenser in the secondary circuit of the induction motor. As the magnetizing current required by the induction motor is a reactive, that is, wattless lagging current, it does not require a generator for its production, but any apparatus consuming lead- ing, that is, generating lagging currents, ksuch as a condenser, can be used to supply the magnetizing current. 40. However, condenser, or synchronous or commutating machine, etc., in the secondary of the induction motor do not merely give the magnetizing current and thereby permit power- factor control, but they may, depending on their design or appli- cation, change the characteristics of the induction machine, as regards to speed and speed regulation, the capacity, etc.