Journal
MEDITERRANEAN JOURNAL OF MATHEMATICS
Volume 19, Issue 1, Pages -Publisher
SPRINGER BASEL AG
DOI: 10.1007/s00009-021-01933-z
Keywords
Hopf bifurction; limit point; steady state; local bifurcation; axial compressor
Categories
Ask authors/readers for more resources
Based on the Greitzer's simplified model, this article presents an analytical study on the instability phenomena of the operating point using fundamental properties of nonlinear dynamic systems. Furthermore, a general compressor characteristic curve suitable for stationary systems is proposed. The stability conditions of the model parameters are determined using the Routh-Hurwitz theorem. A numerical simulation is conducted to illustrate the theoretical results.
Based on the Greitzer's reduced model, an analytical study on the instabilities phenomena of the operating point is presented using some basic properties of the nonlinear dynamic system. Moreover, a proposal of a general compressor characteristic curve, that suits the stationary system, is given. The Routh-Hurwitz theorem is applied to determine the stability conditions on the model parameters. An analysis along with a discussion is presented when the compression system goes to the Hopf bifurcation point during surge. For the Hopf bifurcation case, an approximate expression, for the periodic cycle of the system's solution from the equilibrium point, is obtained and the direction is determined using Lyapunov's stability theory. A numerical simulation is executed to illustrate the theoretical results.
Authors
I am an author on this paper
Click your name to claim this paper and add it to your profile.
Reviews
Recommended
No Data Available