Subharmonics in Circuits Containing Iron-Cored Reactors
- 1 August 1938
- journal article
- Published by Institute of Electrical and Electronics Engineers (IEEE) in Transactions of the American Institute of Electrical Engineers
- Vol. 57 (8) , 423-431
- https://doi.org/10.1109/t-aiee.1938.5057830
Abstract
The performance of a series circuit consisting of a resistor, a capacitor, an iron-cored inductor, and a sinusoidal impressed voltage is specified by the non linear differential equation d¿/dt + ri + L di/dt + 1/C¿i dt = E sin (t + ¿) in which ¿ is an odd function of i. Particular solutions of this equation, showing the effect of varying boundary conditions, are obtained by means of the differential analyzer. An approximate analytical method for determining the types of oscillations possible in this circuit is developed. Results obtained by this method are compared with differential analyzer solutions.Keywords
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