This condition would modify equations 25, 26, and 27, respectively, as follows, for a single additional circuit in each axis.Substituting equations 25a, 26a, and 27a into equations 22, 23, and 24, and also substituting equations 35 and 36 into equations 33 and 34, the following 5 equations are obtained, when (pO) = 1:
Efd= pXfadid + (Rfd + pXff d )Ifd + pXfidlid \ (37)
= -pXiadid -pXifdlfd -(Rid + pX u d)lid I
= -pXiaqtq -(Riq + pX U q)Iiq JThese equations may be solved simultaneously for the 5 unknown currents. The extension to any number of rotor circuits may be made in a similar manner.
-pX a \dJid -Xaiqliq \
Xaidlid -pX a iqI\q f
Self-Regulated
Compounded RectifiersA mercury-vapor rectifier can function as its own automatic regulator with the aid of the grid-control circuit described in this paper. The control equipment is prac tically inertialess and, therefore, is almost instantaneous in its operation. The circuit may be compounded to have a wide variety of characteristics.
Synopsis: The more involved rectifiercircuit problems, now becoming important because of the increasing magnitude of recti fier loads, can be most readily solved by the rectifying mathematical operator presented in this paper. Even with the more elemen tary problems, the final numerical computa tions are more simple in form than is usually obtained when conventional methods are used, since a lesser number of integrals and trigonometric functions are involved. In this paper, application is made to various rectifiers supplied with unbalanced powerline electromotive forces; also some ele mentary applications of the more simple formulas are included.
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