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Oscillations in a system of two coupled self‐regulating spool valves with switching properties
Author(s) -
Schröders Simon,
Fidlin Alexander
Publication year - 2019
Publication title -
pamm
Language(s) - English
Resource type - Journals
ISSN - 1617-7061
DOI - 10.1002/pamm.201900340
Subject(s) - control theory (sociology) , hydraulic machinery , floquet theory , coupling (piping) , lyapunov function , control valves , stability (learning theory) , mechanics , point (geometry) , computer science , control engineering , control (management) , engineering , physics , mechanical engineering , nonlinear system , mathematics , geometry , quantum mechanics , artificial intelligence , machine learning
In hydraulic systems, valves can be considered as fundamental components. They serve as control elements to regulate hydraulic power transmission. In order to minimize control effort, self‐regulating spool valves enjoy great popularity. However, their disadvantage is a possible loss of stability, caused by the coupling between hydraulic and mechanical degrees of freedom via pressure feedback areas. So far, the self‐excited oscillations, evoked from the operating point's loss of stability, have mostly been investigated using minimal models of individual valves. In real world applications, for example in automotive transmissions, typically several valves are employed which are coupled by hydraulic pipes. Here, it is expected, that dynamical phenomena occur, which cannot be portrayed by simple models of individual valves. Within this contribution, the oscillatory behaviour of a system employing two coupled self‐regulating valves is discussed. The resulting non‐stationary solutions are characterized by using Floquet theory and computing Lyapunov‐Exponents.