It is already well known that the theory of kenotron rectifier circuits becomes very much involved if the characteristic curve of the tube is to be rigorously accounted, and that the results will hardly allow of clear apprehension.
The circuits have been dealt with by Hull, van der Bijl, Fortescue and Duncan, generally with the aim of giving practical directions to circuit designers. They do not seem to pretend to have given any rigorous mathematical solution of the phenomena.
It may be more correctly treated by simply attributing to the kenotron the property of preventing any passage of reverse current, and assuming the internal resistance to be a constant quantity.
For half wave rectification, the D.C. voltage can be represented during the forced oscillation by the sum of exponential terms and a trigonometrical term, and during the free discharge of the condenser by exponential terms.
In the case of double wave rectification, the relations are similar to the above so long as no overlapping takes place. But if the currents through both kenotrons happen to overlap with each other, as is usually the case, the A.C. source becomes shortcircuited through kenotrons and the current through the load is again the sum of exponential terms and a sine term.
The factors relating to the suppression of ripples in D.C. voltage are discussed, the most efficient means being the use of larger condenser and higher frequency.
Kenotron rectifier circuit patented by M. Latour is finally described and is dealt with in a similar manner.
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