1673-159X

CN 51-1686/N

双频驱动双转子振动系统控制同步特性研究

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

  • 摘要: 针对石油工程中同频钻井振动筛时常出现筛网堵塞,导致钻井液遗失并增加钻井成本的问题,提出一种双频驱动双转子控制同步振动系统,使筛网表面的物料在单周期内受到不同频率的激振力,运动状态更为活跃的同时还有助于降低筛网堵塞概率。文章通过分析动力学模型的能量转换过程,利用拉格朗日公式推导出振动系统的运动微分方程;将等效滑模控制算法与主从控制结构相结合,实现稳定的双频控制同步运动;利用交流电机数学模型得到各电机的输出转矩和负载转矩方程,进而分别对两电机控制系统选择合适的滑模函数,设计出主电机速度追踪控制器和从电机相位追踪控制器的控制律表达式;引入饱和函数替换滑模控制器中的符号函数,以提升控制器的运行精度并降低变量在趋近过程中的抖振幅度,从理论角度明确所设计的电机控制器满足Lyapunov稳定性判据。同时,构建主从式双电机机电耦合双频同步控制模型,通过预设振动系统不同的控制条件以对控制理论的可行性和鲁棒性进行了深入分析。

     

    Abstract: 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.

     

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