Single-step auto-tuning of external active damping control strategy for a drill-string speed-controlled electrical drive

Danijel Pavković1, Mihael Cipek1, Matija Krznar1, Tomislav Staroveški1, Miho Klaić1, Danko Brezak1
1Faculty of Mechanical Engineering and Naval Architecture, University of Zagreb, Zagreb, Croatia

Tóm tắt

This paper presents a single-step automatic tuning procedure and an estimator of key parameters of the drill-string system used in deep drilling applications. It is aimed at precise tuning of an external vibration suppression system based on speed control loop of the drilling electrical drive tuned for “stiff” motor-side speed control (the so-called speed source behavior), and the external drill-string torque feedback used for torsional vibration active damping. The automatic tuning procedure is carried out for the case when the drill-string and drill-bit are hoisted from the bottom of the well and the drilling electrical drive briefly enters the limit cycle oscillatory behavior under stiff speed control. The proposed auto-tuning system features a suitable control-oriented process model of the torsional oscillator and a modified-mixer phase detector phase locked-loop equipped with adaptive second-order generalized integrator (band-pass filter) for the extraction of key features of the drive resonance mode. The overall control system design relies on the so-called damping optimum criterion which guarantees a desired level of closed-loop system damping. The functionality of the proposed adaptive control system with automatic tuning of the control strategy has been systematically verified by means of comprehensive simulations, and the effectiveness of the drill-string parameter estimator has also been confirmed using the previously recorded field data to illustrate its robustness in the presence of realistic measurement noise.

Tài liệu tham khảo

Aarsnes UJF, di Meglioc F, Shord RJ (2018) Avoiding stick slip vibrations in drilling through startup trajectory design. J Process Control 70:24–35. https://doi.org/10.1016/j.jprocont.2018.07.019 Aarsnes UJF, Aamo OM, Krstic M (2019) Extremum seeking for real-time optimal drilling control. In: Proceedings of 2019 American control conference (ACC 2019), Philadelphia, PA, USA, pp 5222–5227. https://doi.org/10.23919/ACC.2019.8815162 Armstrong-Hélouvry B, Dupont P, Canudas-de-Wit C (1994) A survey of models, analysis tools and compensation methods for the control of machines with friction. Automatica 30(7):1083–1138. https://doi.org/10.1016/0005-1098(94)90209-7 Badgwell T, Pastusek P, Kumaran K (2018) Auto-driller automatic tuning. In: Proceedings of 2018 SPE annual technical conference and exhibition, Dallas, TX, US, Paper No. SPE-191417-MS, p 7. https://doi.org/10.2118/191417-MS Beck BE, Boone DE, Des Brandes R, Johnson PW, Lyons WC, Miska S et al (1996) Drilling and well completions. In: Lyons WC (ed) Standard handbook of petroleum and natural gas engineering, vol 1. Gulf Publishing Company, Houston Canudas-de-Wit C, Rubio FR, Corchero MA (2008) D-OSKIL: a new mechanism for controlling stick-slip oscillations in oil well drillstrings. IEEE Trans Control Syst Technol 16(6):1177–1191. https://doi.org/10.1109/TCST.2008.917873 Ciobotaru M, Teodorescu R, Blaabjerg F (2006) A new single-phase PLL structure based on second order generalized integrator. In: Proceedings of 37th IEEE power electronics specialists conference (PESC 2006), Jeju, Korea, pp 361–366. https://doi.org/10.1109/pesc.2006.1711988 Deur J, Pavković D, Jansz M, Perić N (2003) Automatic tuning of electronic throttle control strategy. In: Proceedings of 11th Mediterranean conference on control and automation, Rhodes, Greece, p 6 Dwars S (2014) Recent advances in soft torque rotary systems. In: Proceeding of 3rd interational colloquium on nonlinear dynamics and control of deep drilling systems, Minneapolis, MN, US, pp 29–44. https://doi.org/10.2118/173037-MS Fallah AH, Gu Q, Chen D, Ashok P, van Oort E, Holmes M (2021) Globally scalable geothermal energy production through managed pressure operation control of deep closed-loop well systems. Energy Convers Manag 236:114056. https://doi.org/10.1016/j.enconman.2021.114056 Fu M, Zhang P, Li J, Wu Y (2019) Observer and reference governor based control strategy to suppress stick-slip vibrations in oil well drill-string. J Sound Vib 457:37–50. https://doi.org/10.1016/j.jsv.2019.05.050 Gupta V, Grossmann IE (2017) Offshore oilfield development planning under uncertainty and fiscal considerations. Optim Eng 18:3–33 Hedengren JD, Eaton AN (2017) Overview of estimation methods for industrial dynamic systems. Optim Eng 18:155–178. https://doi.org/10.1007/s11081-015-9295-9 Isermann R (1989) Digital control systems, vol 1. Springer, Berlin Jansen JD, van den Steen L (1995) Active damping of self-excited torsional vibrations in oil well drillstrings. J Sound Vib 179(4):647–668. https://doi.org/10.1006/jsvi.1995.0042 Kaiser MJ, Snyder BF (2013) The offshore drilling industry and rig construction in the gulf of Mexico. Lecture notes in energy, vol 8. Springer, London Khor CS, Elkamel A, Shah N (2017) Optimization methods for petroleum fields development and production systems: a review. Optim Eng 18:907–941. https://doi.org/10.1007/s11081-017-9365-2 Mckenna KI, Pan R, Koederitz WL (2015) The application of real-time stochastic analysis for autonomous drilling optimization. Oil Gas Eur Mag 41(1):21–23 Naslin P (1968) Essentials of optimal control. Illife Books Ltd., London Nygaard G, Gjeraldstveit H, Skjæveland O (2010) Evaluation of automated drilling technologies developed for petroleum drilling and their potential when drilling geothermal wells. In: Proceedings of the world geothermal congress 2010, Bali, Indonesia, p 10 Padhy PK, Majhi S (2009) Improved automatic tuning of PID controller for stable processes. ISA Trans 48(4):423–427. https://doi.org/10.1016/j.isatra.2009.05.002 Park JH, Sung WS, Lee I-B (1997) Improved relay auto-tuning with static load disturbance. Automatica 33(4):711–715. https://doi.org/10.1016/S0005-1098(96)00174-4 Pavković D, Deur J, Lisac A (2011) A torque estimator-based control strategy for oil-well drill-string torsional vibrations active damping including an auto-tuning algorithm. Control Eng Pract 19(8):836–850. https://doi.org/10.1016/j.conengprac.2011.04.012 Pavković D, Polak S, Zorc D (2014) PID controller auto-tuning based on process step response and damping optimum criterion. ISA Trans 53(1):85–96. https://doi.org/10.1016/j.isatra.2013.08.011 Pavković D, Cipek M, Plavac F, Šprljan P, Jurišić G (2019a) Damping optimum tuning of drill-string torque-based torsional vibrations suppression system. In: Proceedings of 18th IEEE international conference on smart technologies EUROCON 2019a, Novi Sad, Serbia, Paper No. 2228, p 6. https://doi.org/10.1109/EUROCON.2019.8861990 Pavković D, Kozhushko, Y, Hrgetić M, Zorc D, Cipek M (2019b) Damping optimum design of single-phase inverter synchronization and current control system In: Proceedings of IEEE 39th international conference on electronics and nanotechnology (ELNANO 2019b), Kyiv, Ukraine, pp 572–577. https://doi.org/10.1109/ELNANO.2019.8783726 Pavković D, Šprljan P, Cipek M, Krznar M (2021) Cross-axis control system design for borehole drilling based on damping optimum criterion and utilization of proportional-integral controllers. Optim Eng 22:51–81. https://doi.org/10.1007/s11081-020-09566-z Runia DJ, Grauwmans R, Stulemeijer I (2013) A brief history of the shell "soft torque rotary system" and some recent case studies In: Proceedings of SPE/IADC drilling conference (SPE-163548-MS), Amsterdam, Netherlands, p 10. https://doi.org/10.2118/163548-MS Sarker MM, Rideout DG, Butt SD (2012) Advantages of an LQR controller for stick-slip and bit bounce mitigation in an oilwell drillstring. In: Proceedings of ASME 2012 international mechanical engineering congress & exposition (IMECE2012), Houston, TX, USA, p 9. https://doi.org/10.1115/IMECE2012-87856 Serrarens AFA, van de Molengraft MJG, Kok JJ, van den Steen L (1998) H-infinity control for suppressing stick-slip in oil well drillstrings. IEEE Control Syst Mag 18(2):19–30. https://doi.org/10.1109/37.664652 Schröder D (2007) Elektrische Antriebe—Regelung von Antriebssystemen, 3rd edn. Springer, Berlin Thacker T, Boroyevich D, Burgos R, Wang F (2011) Phase-locked loop noise reduction via phase detector implementation for single-phase systems. IEEE Trans Ind Electron 58(6):2482–2490. https://doi.org/10.1109/TIE.2010.2069070 Ullah FK, Bohn C (2018) Dynamic surface control for the reduction of torsional vibrations in a scaled experimental drillstring setup. In: Proceedings of 2018 12th international conference on control (UKACC), Sheffield, UK, pp 199–204. https://doi.org/10.1109/CONTROL.2018.8516736 Veltman A, Stulemeijer I, Catena A (2015) Identification while drilling of drill-string dynamic model for diagnostics and optimization. In: Proceedings of offshore technology conference 2015, Rio de Janeiro, Brazil, Paper No. OTC-26118-MS, p 13. https://doi.org/10.4043/26118-MS Wang Z, Wang F, Liu J, Ma Z, Han E, Song M (2017) Field test and numerical investigation on the heat transfer characteristics and optimal design of the heat exchangers of a deep borehole ground source heat pump system. Energ Convers Manag 153:603–615. https://doi.org/10.1016/j.enconman.2017.10.038 Xiao F, Dong L, Li L, Liao X (2017) A frequency-fixed SOGI-based PLL for single-phase grid-connected converters. IEEE Trans Power Electron 32(3):1713–1719. https://doi.org/10.1109/TPEL.2016.2606623