Sub-harmonic Oscillations in Power Circuits with Series Capacitors

Abstract

A method based on the dual-input describing function is presented for the analysis of the sub-harmonic resonance of the order 1/3 in the electric circuits containing one saturable reactor. The paper describes the use of this method to analyse the 1/3-harmonic resonance which may be encountered in the application of series capacitors to power circuits, and presents the conditions on the circuit parameters to ensure the absence of the 1/3-harmonic resonance. An analog computer study on this problem is included.