Investigation on Controlled Synchronous Characteristics of Dual-Rotor Vibration System Excited with Double-Frequency

Aiming at the problem of slurry overflow caused by the inherent dynamic characteristics of traditional self-synchronous vibration screen in petroleum engineering, a novel controlled synchronous vibration system driven with double-frequency and dual-rotor is proposed, which can guarantee that the materials on screen mesh are subjected to the different excitation frequencies in a single cycle, and the motion state is more active to reduce the probability of screen mesh blocking. Firstly, in this paper, analyzing the energy conversion process of dynamical model, the motion differential equation of vibration system is derived by applying Lagrange’s formula. Secondly, equivalent sliding mode control algorithm is combined with the master-slave control structure to realize the stable dual-frequency control synchronization motion. Meanwhile, the output torque equation and the load torque equation of each motor are obtained by using mathematical model of AC motor. Subsequently, the suitable sliding mode functions are selected for the two motor control systems, and the control law expressions of velocity tracking controller and phase tracking controller are designed in detail. Then, the saturation function is introduced to replace the sign function in the sliding mode controllers, which can improve the operation accuracy of controller and reduce the chattering amplitude of the control variable during the process of approaching. Finally, according to the proposed control strategy, an electromechanical coupling synchronization control model with dual-motor and double-frequency actuation is constructed. Furthermore, feasibility and robustness of the control theory are verified by presetting different control conditions of the vibration system.