ALTERNATE CURRENT GENERATOR. 



67 



If such is the case it can only be explained by the fact that the 

 theory of the simple alternator has not hitherto been completely 

 worked out. 



In the following paper this is done for an alternator with a 

 uniform field, by means of a new application of the vector method 

 in which all the harmonics of a periodic function are dealt with 

 simultaneously. 



In the same is shown how to take account of hysteresis and eddy 

 currents, and the theory of the action of dampers in reducing the 

 heating in the field is also given. 



The theory of the alternate ciu'rent synchronous motor is also 

 dealt with. 



1. Let two co'ls he arranged as indicated in Fig. I., one of them 

 F, called the fif^ld coil, being fixed and having a battery of constant 

 e.m.f. = 7/ in its circuit, the other A, called the armature coil, fitted in 

 the usual wav with slip rings for connection to an external circuit, 

 and being rotated by power at a constant angular velocity w round a 

 fixed axis which is perpendicular to its own axis of fii^ure and to the 

 direction of the lines of force of F and which passes through its own 

 centre. It is required to determine completely the currents that flow 

 in both A and F. 



Fig. I. 



