1/3-harmonic Oscillation in Three-phase Circuit with Series Condensers (II)

Abstract

The authors deal with the nearly 1/3-harmonic oscillation (a kind of almost periodic oscillation) in three-phase circuit with series condensers. The fundamental equation becomes non-autonomous type with small parameter ε aₖq xq + ε fₖ (z₁, x₂, x₅, τ) k＝1, 2, 3, 4, 5 An analog computer is used for obtaining the parameter region where the nearly 1/3- harmonic oscillation is sustained. Furthermore, the asymptotic method of Bogoliubov and Mitropolsky is extended to analyse the behavior of the nearly 1/3-harmonic oscillation.