Calculation of dynamic loads of the sucker rod pumping system in CBM wells

The mathematical model of dynamic loads was developed based on an analysis of the polished rod load of beam pumps, and the variation of the dynamic loads and the computation of the minimum and maximum limits during a complete pumping cycle were given out by solving the model.Field examples verify that it is necessary to take into account the inertial and vibration loads while calculating polished rod loads.During the prophase of the pumping production, the dynamic to polished rod load ratio is relatively large.Then the ratio decreases rapidly and becomes small after entering stable production.Moreover, the total deformation of rod and tubing in CBM wells is much smaller than that in oil fields, and the deformation caused by the dynamic loads is also relatively small.The result of this work is the calculation of the dynamic loads.The application of this calculation for the sucker rod pumping system in CBM wells can give the desired accuracy of polished rod load and the dynamometer cards, which provides a reasonable basis for the design and selection of beam pumps.

Sensorless Control for Surface Mounted PM Machine with a High Inertial Load

􀃼PM machine or Permanent magnet synchronous motor􀋄PMSM􀋅is a nonlinear system with multivariable couplings.To achieve the sensorless control of a PMSM with high inertial load,a modified current observer,using PI regulator instead of sliding mode switching function,is proposed in this paper.The modified current observer can solve the chattering and phase delay problem while still maintaining the robust advantages of sliding mode system in position estimation.In addition,a new phase-locked loop(PLL)based angle switching strategy is designed to ensure the motor can smoothly switch from I-F control to closed-loop sensorless vector control in startup stage with a high inertial load.The simulation and experimental results show that the control system of PMSM with proposed ideas has fast response speed,accurate rotor position estimation,stable state switching and good system robustness under high inertia load.

Dynamic Investigation of Interface Stress on Below-Knee Residual Limb in a Prosthetic Socket

The dynamic effects of inertial loads on the interface stresses between a residual limb and the trans-tibial prosthetic socket were investigated. A 3-D nonlinear finite element model, based on the actual geometry of the residual limb, including internal bones and socket liner, was developed to study the mechanical interaction between the socket and the residual limb during walking. To simulate the friction/slip boundary conditions between the skin and liner, automated surface-to-surface contact was used. The results show that interface pressure and shear stress have a similar double-peaked waveform shape in the stance phase. The average difference in interface stresses between the cases with and without consideration of inertial forces is 8.4% in the stance phase and 20.1% in the swing phase. The results suggest that the dynamic effects of inertial loads on interface stress distribution during walking must be considered in prosthetic socket design.