Simulation of Load on a Polished Rod of Sucker Rod Pump for Oil Production

The sucker rod pumping unit is the most common type of equipment used to operate low-debit wells. It is necessary to create a simulation model of the control object to develop and test new methods and control algorithms for such units. The sucker rod pump is one of the unit blocks. The mathematical model was built in the computer-aided design system MathCad. The motion of the rod string in this model is described by the differential equation of the longitudinal vibrations of a homogeneous rod with a distributed load. The boundary conditions on the plunger are set using the Hooke law. The differential equation was solved by the finite difference method using iterative and non-iterative algorithms described in the works. The paper presents the implementation of two methods for constructing a simulation model of a sucker rod pump for constructing a complex simulation model of a sucker rod pumping unit, which includes an electromechanical drive and a well. A comparison of the selected methods is made and an option for the implementation of the simulation model is selected.