Chaotic behavior in a simple DC drive

Remarkably complex behavior, namely chaotic behavior, in a simple DC chopper-fed DC motor drive system has been investigated. An iterative map that describes the nonlinear dynamics of the system operating in the continuous conduction mode is derived. It shows that different bifurcation diagrams can be obtained by varying different system parameters, and the system exhibits not only a typical period-doubling route to chaos but also the period-3 window. Analytical modeling of period-1 and hence period-p orbits as well as their stability analysis using the characteristic multipliers are presented. Thus, those stable ranges of various system parameters can be formulated, and hence the chaotic ranges can be determined. The theoretical results are verified by using both PSpice simulation and experimental measurement