Bifurcation analysis of surge and rotating stall in the Moore-Greitzer compression system
| Autor: | L. Kullmann, Csaba J. Hös, Alan R Champneys |
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| Rok vydání: | 2003 |
| Předmět: | |
| Zdroj: | University of Bristol-PURE |
| ISSN: | 1464-3634 0272-4960 |
| DOI: | 10.1093/imamat/68.2.205 |
| Popis: | A simple compression system model, described by a set of three ordinary nonlinear differential equations (the Moore-Greitzer model) is studied using bifurcation analysis to give a qualitative understanding of the presence of surge and rotating stall. Firstly, three parameter values are chosen and a reduced planar system is studied to detect the local bifurcations of pure surge modes. The global bifurcation diagrams are then completed with the help of the continuation software AUTO. A special feature of this 2D system is a set of parameter values where two Takens-Bogdanov points merge. As a next step, the interaction of surge and rotating stall modes is analysed using the same branch tracking technique. Several novel bifurcation scenarios are described. Two-parameter bifurcation maps are computed and a satisfactory agreement with experimental results is found. An explanation is given for the onset of deep surge, rotating stall, classic surge and the hysteresis effects experienced in measurements. |
| Databáze: | OpenAIRE |
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