Journal
NONLINEAR DYNAMICS
Volume 77, Issue 1-2, Pages 277-288Publisher
SPRINGER
DOI: 10.1007/s11071-014-1292-6
Keywords
Induction motor; Wound rotor; Drilling system; Hidden oscillations; Hidden attractors; Drill string failures; Phase synchronization
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Funding
- Ministry of Education and Science
- Saint Petersburg State University
- Russian Foundation of Basic Research (Russia)
- Academy of Finland
- President Grants for Government Support of the Leading Scientific Schools
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This work is devoted to the investigation of mathematical models of drilling systems described by ordinary differential equations. Here, we continue the study done by the researchers from Eindhoven where the two-mass mathematical model of a drilling system has been investigated (Mihajlovic et al. J. Dyn. Syst. Meas. Control 126(4): 709-720, 2004; de Bruin et al. Automatica 45(2): 405-415, 2009). The modified version of this model, which takes into account a full description of an induction motor, is studied. It is shown that such complex effects as hidden oscillations may appear in these kinds of systems. These effects may lead to drill string failures and breakdowns.
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