Chaotic behavior study for serial multicellular chopper connected to nonlinear load

Abstract

In this paper, chaotic behavior investigation of two-cells chopper when it is associated with a nonlinear load is considered. The model of such system is described by a continuous time three dimensional non-autonomous system. The route to chaos is studied by using numerical simulations of two-cells chopper model. Moreover phase portraits; Poincaré section and first return map are analyzed to highlight the main characteristic of this particular chaotic behavior.

Stability study and dynamical analysis of the multicellular chopper

“…The Poincaré section is computed for x 1 = 0 when the frequency is 20 Hz. From Figure 4, it can be seen that the symmetry (Djondiné et al, 2013) is around the nominal voltage capacitor V Cn that is 50 V.…”

Stability study and dynamical analysis of the multicellular chopper

“…The Poincaré section is computed for x 1 = 0 when the frequency is 20 Hz. From Figure 4, it can be seen that the symmetry (Djondiné et al, 2013) is around the nominal voltage capacitor V Cn that is 50 V. The first return map is computed by the voltage of nonlinear load (x 3 ) for each minimum of x 3 which is detected with 1 0 x = 0 and | x 1 | < 0.01. From Figure 5(a), it can be seen that there is a folding point at each end of the cross and obviously symmetry occurs (Dang-Vu and Delcarte, 2000).…”