A study of synchronization in chaotic autonomous Cuk DC/DC converters

The synchronization property of chaotic free-running dc/dc converters is studied in this paper. The system under study consists of two Cuk converters operating under free-running current-mode control, with two converters connected in the well-known drive-response configuration similar to that studied by Pecora and Carroll. This paper studies, in particular, the synchronization property of the system when a capacitor voltage is chosen as the driving signal. The study includes the derivation of the describing differential equations and the calculation of the conditional Lyapunov exponents (CLE's) of the synchronizing system based on the differential equations. It is found that all the CLE's are negative for certain chosen parameters and, hence, synchronization is possible in this system. Exact computer simulations have been performed to verify the synchronization of the aforedescribed circuits operating in chaotic regime. With the drive-response system connected, synchronization is demonstrated using both exact time-domain simulations and PSPICE simulations. This paper reports for the first time the synchronization phenomenon in power electronic converters.