On the suitability of bifurcation stabilization control laws for high order Moore-Greitzer compressor models

Hendrickson, E.S.; Sparks, Andrew G.

doi:10.1109/acc.1997.611914

Cited by 5 publications

(1 citation statement)

References 13 publications

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“…It was also shown in [6] that with higher order right skew compressor characteristics feedback on the stall cell amplitude was required to eliminate hysteresis in the one mode expansion. The behavior of these feedbacks (17,18) in a two mode expansion was investigated in [3]. Stabilization of the peak of the compressor characteristic was achieved, but the global property of hysteresis could not be eliminated.…”

Section: Elimination Of Hysteresis With Feedback In Multi-mode Modelsmentioning

confidence: 98%

Analysis of higher order Moore-Greitzer compressor models

Humbert

Krener²

Proceedings of the 1997 IEEE International Conference on Control Applications

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In this paper we investigate the behavior of higher order Galerkin expansions of the MooreGreitzer model of general transients in aeroengine compression systems. We assume steady state entrainment of the higher Fourier modes of the rotating stall cell which establishes a framework for a simplified numerical analysis of the bifurcating solutions corresponding to rotating stall. For small values of the Greitzer surge parameter ( B ) we discuss general trends in the character of the pure stall solutions. The rotating stall characteristic is shown to exhibit deep hysteresis with a cubic compressor characteristic, establishing the fact that deep hysteresis to a certain extent is a multi-mode phenomena. Elimination of the hysteresis associated with the bifurcation into stall is accomplished in simulations with a combined feedback on the displacement from the peak of the compressor characteristic and the magnitude of the first mode amplitude of the stall cell. Behavior for larger values of the B parameter is also investigated and novel surge/stall relaxation oscillations corresponding to classic surge are discovered.

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Section: Elimination Of Hysteresis With Feedback In Multi-mode Modelsmentioning

confidence: 98%

Analysis of higher order Moore-Greitzer compressor models

Humbert

Krener²

Proceedings of the 1997 IEEE International Conference on Control Applications

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A new model for compressor surge and stall control

Shahriyari,

Firouzabadi,

Khaleghi

et al. 2024

Sci Rep

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This paper compares the bifurcations and closed-loop performances of two compressor models, Moore-Greitzer (MG) and a developed model based on MG (Shahriyari Khaleghi, SK). First, both models are linearized about two equilibrium points (pure surge and fully-developed rotating stall), and the perturbed state-space dynamics and input matrices are obtained. The compressor unstable regions are then identified using an eigenvalue and global bifurcation analysis. Furthermore, optimal LQR controllers are designed, and the performances of closed-loop systems are compared. The LQRs are designed to control the compression system near the peak pressure rise by suppressing surge or stall. Results reveal that if the initial operating point is in the positive slope region of the compressor characteristic and the initial amplitude of the disturbances is small, the LQR controller can stabilize the compressor in both models. However, when the disturbances are intensive, the two models respond differently: although the SK model damps a fair range of disturbances and predicts instability for excessively powerful disturbances, the MG model always damps them, even when extremely intense. Without a controller in the MG model, initial disturbances (even very large) can never grow and are always damped in the compressor’s negative slope region (obviously, the same applies to the controller). However, pending the amplitude of the disturbances (in the absence of a controller), the disturbances in the SK model may be damped or grow. The SK model can successfully control the instabilities if the disturbances are small. Nonetheless, the controller fails to dampen the instabilities for extreme disturbances, which is consistent with reality.

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Dynamics and control of entrained solutions in multi-mode MooreGreitzer compressor models

Humbert¹

1998

International Journal of Control

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On the suitability of bifurcation stabilization control laws for high order Moore-Greitzer compressor models

Cited by 5 publications

References 13 publications

Analysis of higher order Moore-Greitzer compressor models

Analysis of higher order Moore-Greitzer compressor models

A new model for compressor surge and stall control

Dynamics and control of entrained solutions in multi-mode MooreGreitzer compressor models

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