Abstract: An active voltage-controlled Buck-Boost converter model with memristor load and peak current is proposed based on fractional order theory. The complex dynamic behavior of the Buck-Boost converter is analyzed and verified by numerical simulations based on the derivation of its circuit equations in the continuous mode of the inductor current. The simulation results show that the bifurcation point of the system shifts backward with the change of the system order and the addition of the memristor load, and the stable operating range of the system is greatly increased. Applying two time-scaled parametric excitations and external excitations are applied to the whole-order memristor load transformer model, and the cluster oscillation behavior is studied when the slow variable parameter frequency is different from the natural frequency of the system. With the change of the excitation amplitude of the system, A, a single Hopf oscillation behavior occurs periodically.