有杆抽油系统的数学建模及诊断  

Research on the Mathematical Modeling and Diagnosis of Rod Pumping System

作　　者：刘邵星 杨尚跃[1] 杨树国[1] 

机构地区：[1]青岛科技大学数理学院,山东青岛266061 [2]苏州工业园区洛加大先进技术研究院,江苏苏州215123

出　　处：《数学计算（中英文版）》2014年第1期11-18,共8页Mathematical Computation

基　　金：受山东省高等学校科技计划项目支持资助（J13LN34）.

摘　　要：对有杆抽油系统的数学建模及诊断问题进行了研究。首先，建立了游梁的摆动方程，求得了悬点E运动的数学模型；其次，研究了Gibbs波动方程，得出了悬点处随时间变化的位移和荷载函数，求得了泵随时间变化的位移和荷载函数，给出了给出了由悬点示功图转化为泵功图的详细计算过程；最后，研究了泵内气体影响情况，提出了泵内是否充气的判别算法．This paper analyzed and researched the mathematical modeling and the diagnose problems of sucker rod pumping system. Firstly it established the swing equation of the beam and got the motion mathematical model of the suspension point. Secondly, it researched the Gibbs wave equation and obtained the displacement and load function of the suspension point which is time-varying and got the displacement and load function of the suspension of the pump which is time-varying, and then it put forward the detailed calculation process of the transition from indicator diagram into pump diagram of the suspension point. Finally, it researched the impact of gas inside the pump and proposed the inflatable discriminant algorithm

关 键 词：Gibbss模型 阻尼系数 傅里叶系数 有效冲程 

分 类 号：O175.1[理学—数学]