Bifurcation phenomena of 1/2-subharmonic oscillations in three-phase circuit

This paper presents the several bifurcation phenomena generated in nonlinea r three-phase circuit with symmetry. The circuit consists of delta-connecte d nonlinear inductors, capacitors and three-phase symmetrical voltage sourc es. Particular attention is paid to the subharmonic oscillations of order 1 /2. Mle analyze the bifurcations of the oscillations from both theoretical and experimental points. As a tool of analysis, we use the homotopy method. Additionally, by comparing with single-phase and single-phase-like circuit s, the special feature of the three-phase circuit is revealed.