It has previously been known that automatic synchronization takes place between two mutt ally coupled triode oscillators. For the sale of simplicity of mathematical analysis, the author cnrrders in this paler a certain simple care, in which the action between two oscillators is in one direction only.
It is assumed that an alternating e.m.f. of constant frequency is inserted in a grid circuit of a triode valve oscillator, and the natural frequency of the latter is slowly varied across over resonance. When the forced oscillation due to the impressed e.m.f. and the free oscillation produced by the retroactive action between the grid and the plate circuits are nearly in resonance, the former tends to suppress the latter, and thus the automatic synchronization takes place.
An explanation is given to this synchronization phenomenon from the point of view of stability of the free oscillation.
The idea is proposed that, when the forced oscillation approaches resonance and becomes intense, the effective internal resistance of the triode becomes so high that a stable free oscillation cannot exist any longer.
The simultaneous equations comprising the intensities of these two oscillations and their phase angles cannot be solved by simple mathematical methods, but they lends themselves to graphical solution. The expression of internal resistance, in our problem, contains two independent variables, namely the amplitudes of both oscillations, so that the graphical treatment of its characteristic surface must naturally be complicated. The author has however deviced simple graphical treatments on planes.
By an entirely graphical method, the author also explains jumping phenomena, which occur in synchronization when either the impressed e.m.f. or the natural frequency of the oscillator is varied, and lie finds out some simple conditions relating to the occurrence of the jumping phenomena.
Experiments have been carried out using a Braun tube oscillograph and the jumping phenomena have been very clearly observed.
Some experimental reaults of the harmonic synchronization are also given.
This paper includes the following topics:
I. Introduction some remarks on the previous investigations.
II. Variation of the effective internal resistance.
III. Condition for the automatic synchronization.
IV. Jumping phenomena in synchronization.
V. Experiments.
VI. Harmonic synchronization.
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