Dynamic rod pump model

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Abstract

On the basis of full kinematic analysis in terms of position functions and velocity analogues, a dynamic model of the drive of rod deep well pump PSHGN8-3-5500 is proposed, containing the main geometrical kinematic, inertial and power parameters. Integration of differential equations of the dynamic model is carried out under the condition that the pump is driven by the asynchronous motor 4AR180M3 U3. The influence of the number of swings per minute on the main parameters of the rod pump operation is investigated. The laws of change of angular velocity and angular acceleration of the driving crank in starting and steady-state modes are determined.

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About the authors

Natalia E. Misyura

Ural Federal University named after the first President of Russia B.N. Yeltsin

Author for correspondence.
Email: n_misura@mail.ru
ORCID iD: 0000-0001-8514-6671

Cand. Sci. (Eng.); associate professor, Department of New Materials and Technologies

Russian Federation, Yekaterinburg

Evgenii A. Mityushov

Ural Federal University named after the first President of Russia B.N. Yeltsin

Email: mityushov-e@mail.ru
ORCID iD: 0000-0001-7337-1492

Dr. Sci. (Eng.), Professor, Department of New Materials and Technologies

Russian Federation, Yekaterinburg

References

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  2. Bubnov M.V., Zyuzev A.M. Methods for RBPU balancing. In: Proceedings of the Third Scientific and Technical. Conf. Young Scientists of the Ural Energy Institute. Ekaterinburg: UrFU, 2018. Pp. 246–249. EDN: YYBWWT.
  3. Galeev A.S., Nurgaliev R.Z., Bikbulatova G.I. et al. The criterion of balance of the low-speed drive of a borehole sucker rod pumping unit to improve reliability. Machines, Units and Processes of the Oil and Gas Industry. 2019. Vol. 17. No. 6. Pp. 96–101. (In Rus.). doi: 10.17122/ngdelo-2019-6-96-101.
  4. Sadov V.B. On the issue of automatic control of the drive of a deep-well sucker rod pump. Bulletin of the South Ural State University. Series: Computer Technologies, Control, Radio Electronics. 2013. Vol. 13. No. 3. Pp. 46–53. (In Rus.). EDN: RBSPGH.
  5. Torgaeva D.S., Sukhorukov M.P., Shurygin Yu.A. et al. Simulation modeling of a sucker rod pump installation for oil production. Proceedings of Tomsk State University of Control Systems and Radioelectronics. 2019. Vol. 22. No. 3. Pp. 71–78. (In Rus.). doi: 10.21293/1818-0442-2019 -22-3-71-78. EDN: UAIABA.
  6. Zyuzev A.M. Mathematical models of the mechanical part of electric drives. Handbook. 2nd ed., cor. Yekaterinburg: Publishing House of the Ural University, 2024. 156 p.
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  8. Kloss M. Starting torque of three-phase motors. The Electron. 1980. Vol. 2. P. 18.
  9. Misyura N.E., Mityushov E.A. Modeling of the mechanical characteristics of an asynchronous motor. News of Higher Educational Institutions. Electromechanics. Vol. 65. No. 4. 2022. Pp. 38–43. (In Rus.). doi: 10.17213/0136-3360-2022-4-38-43. EDN: JIZVYJ.

Supplementary files

Supplementary Files
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1. JATS XML
2. Fig. 1. Crank-rocker mechanism for transmitting motion from crank AB to rocker (beam) CE

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3. Fig. 2. G1, G4, G5 – gravity forces of counterweight, head, column; Gж – weight of liquid column (only during upward stroke); Mпр.д – engine torque reduced to crank

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4. Fig. 3. Reduced torque of 4AP180M4 U3 engine at six oscillations per minute

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5. Fig. 4. Graphs of change in angular velocity and angular acceleration during operation of sucker rod pump at a speed of six oscillations per minute

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6. Fig. 5. Graphs of change in number of oscillations per minute

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