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D-OSKIL: a New Mechanism for Suppressing Stick-Slip in Oil Well Drillstrings
Canudas-de-Wit, C.   Corchero, M.A.   Rubio, F.R.   Navarro-Lopez, E.  
The Laboratoire d'Automatique de Grenoble, UMR CNRS 5528, ENSIEG-INPG, B.P. 46, 38 402, ST. Martin d́ Hères, FRANCE. On leave at the University of Seville (Sept.04 till June 05). Email: carlos.canudas-de-wit@inpg.fr.;

This paper appears in: Decision and Control, 2005 and 2005 European Control Conference. CDC-ECC '05. 44th IEEE Conference on
Publication Date: 12-15 Dec. 2005
On page(s): 8260- 8265
ISBN: 0-7803-9567-0
Current Version Published: 2006-01-30

Abstract
Limit cycles occurring in oil well drillstrings result from the interaction between the drill bit and the rock during drilling operations. In this paper we propose to use the weight on the bit (WoB) force as an additional control variable to extinguish limit cycles if they occur. In particular we adapt the oscillation killer (OSKIL) mechanism studied in detail in the companion paper [3] to our problem at hand. An approximate analysis based on the bias describing function and completed with some simulations, provides good evidences that the rotational dynamics of the oil well drillstring display such a behavior. Simulations applying the D-OSKIL (D stands for Drilling) mechanism show that the stick-slip oscillations can be eliminated without requiring a re-design of the velocity rotarytable control.

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