On the Jumping Phenomena in Ferro-resonance

Abstract

The so-called ferro-resonance, or the resonance in a circuit including a condenser and an iron-core inductance, remains as one of the most important problems with regard to Peterson's earthing coil.
In this report, the writer describes the results of experimental studies on the following topics:
a. The effect of resistance on the ferro-resonance.
b. Characteristic curves of jumping points, as dependent on the circuit constants.
c. Jumping phenomena caused by the variation of resistance under constant impressed voltage.
d. Observations of the jumping phenomena by means of the Braun tube oscillograph.
Expressing the relation between the square of the impressed voltage and the square of the current by an algebraic equation of the 3^rd degree, the writer explains certain phenomena with regard to the jumping of the resonance current.
He also shows a new method of graphically representing the jumping phenomena.
This paper is divided into the following sections:
I. Remarks on the mathematical methods of explaining the ferro-resonance.
II. General equation relating to the jumping phenomena.
III. Graphical method of esplaining the jumping phenomena.
IV. Experimental results obtained with regard to the four topics above mentioned.
V. Conclusions.