Abstract
The characteristics of a constant-voltage transmission system with threewinding transformers at receiving end, the tertiary windings of which being connected to synchronous condensers, are expressed by elliptic equations. Circle diagrams, which are generally used for ordinary lines, will be deduced from the elliptic equation by taking the caefficient k in the equation as unity, since it is a special case where the condenser terminals are identical with the secondary terminals of transformers.
The autsor, therefore, treats the elliptic equation as a general solution and investigates the following cases:- (1) simple transmission sgstem (2) system with two receiving ends. (3) system with two generating ends
Furthermore, it is Shown in this paper that the performance of a transmission network are the combination of those in the later two cases.
As a result of this investigation, it is fouud that precautions should especially be payed for some terms as follows:- (a) The voltage and charging current at any point midway in the line change with the amount of load even in a constant voltage trausmission system. For this effect, obliges those power-station on the way to regulate their own voltage to a suitable value in accordance with the-load. (b) On the system with including many power stations, total generating power varies with the change of power factors of each station for a constant power recelved; and in general the former will increase if leading currents are delivered by some stations. Therefore, proper powcer-factors must be chosen for e ch station so as to make the total generatin power to a minimum. (c) Economical power limit of transmission of a system may be obtained by a proper determination of relative capacity of each winding of three-winding tran formers.
