Abstract: When motors with high or hyper rotating variation are used to drive sucker rod pumping systems,relatively high amplitude fluctuations of motor working rotating speed can take place.Taking account of such motor rotating speed fluctuations,the prediction model of behavior parameters of the sucker rod pumping systems is established.The model involves dynamic differential equations describing the motion regularity of crank,and wave equations describing the vibration of sucker rod string. Because of the nonlinearity of dynamic differential equations and the high degree coupling of dynamic and wave equations,it is rather difficult to make direct use of finite difference method to find out their numerical solutions.A kind of iteration method is applied to solving this problem in a quite smooth manner.The softwares developed on this basis can be applied with high accuracy.

Key words: sucker rod pumping system, sucker rod, motor, dynamics, vibration, rotating speed, prediction, programming

摘要： 当用高转差或超高转差电动机驱动有杆抽油系统时,电动机工作转速存在较大波动.为此,考虑了电动机转速波动,建立了有杆抽油系统动态参数预测模型,即描述曲柄运动规律的动力学微分方程与描述抽油杆柱振动的波动方程.由于动力学微分方程的非线性以及动力学方程波动方程之间的高度耦合,很难直接用差分法求其数值解.文中提出的一种迭代方法很好地解决了这一问题.所编制的软件具有较高的预测精度.

关键词: 有杆抽油, 抽油杆, 电动机, 动力学, 振动, 转速, 预测, 程序设计