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Proceedings ArticleDOI

Distributed nonlinear modeling and stability analysis of axial compressor stall and surge

TLDR
In this paper, a nonlinear formulation of the Moore-Greitzer rotating stall model is presented for control analysis and design, and the model is validated by comparing stall inception experiments to simulated stall inception transients.
Abstract
This paper presents a nonlinear formulation of the Moore-Greitzer rotating stall model that is suitable for control analysis and design. The model is validated by comparing stall inception experiments to simulated stall inception transients. The shape of the nonlinear compressor characteristic is shown to be a primary determinant of stall inception transient behavior. A Lyapunov stability analysis procedure is then presented. This procedure allows basins of attraction to be determined for various system operating points. Examples are given, and implications for design of rotating stall/surge control systems are discussed.

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Citations
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Journal ArticleDOI

Prestall Behavior of Several High-Speed Compressors

TL;DR: In this paper, the authors used the concept of traveling wave energy as a real-time measure of compressor stability and applied it to the geometry of two of the compressors and gave results in agreement with data.
Journal ArticleDOI

Compression system stability and active control

TL;DR: New findings include the roles of compressibility and nonlinearity in the stall-inception process, which have been used to implement feedback control schemes that have achieved increased stability in a variety of compressors and engines.
Proceedings ArticleDOI

Backstepping designs for jet engine stall and surge control

TL;DR: In this article, a new systematic method for nonlinear control design, backstepping, is applied to low-order compression system models, which achieves global asymptotic stability of both stall and surge in the presence of large uncertainties in the compressor model.
Journal ArticleDOI

An overview of rotating stall and surge control for axial flow compressors

TL;DR: The objectives are to suppress rotating stall and surge, to extend the stable operating range of the compressor system, and to enlarge domains of attraction of stable equilibria using feedback control methods.
Proceedings ArticleDOI

Pre-Stall Behavior of Several High-Speed Compressors

TL;DR: In this paper, a 2D, compressible hydrodynamic stability analysis is applied to the geometry of two of the compressors and gives results in agreement with data, showing that, at low corrected speeds, these compressors behave predominantly as incompressible machines.
References
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Book

Nonlinear Systems Analysis

TL;DR: In this article, the authors consider non-linear differential equations with unique solutions, and prove the Kalman-Yacubovitch Lemma and the Frobenius Theorem.
Journal ArticleDOI

Nonlinear Systems Analysis

TL;DR: Non-linear Differential Equations with Unique Solutions, Proof of the Kalman-Yacubovitch Lemma and proof of the Frobenius Theorem.
Journal ArticleDOI

A Theory of Post-Stall Transients in Axial Compression Systems: Part I—Development of Equations

TL;DR: In this paper, an approximate theory for post-stall transients in multistage axial compression systems is presented, which leads to a set of three simultaneous nonlinear third-order partial differential equations for pressure rise, and average and disturbed values of flow coefficient, as functions of time and angle around the compressor.
Journal ArticleDOI

Stall inception in axial flow compressors

TL;DR: In this article, the formation of finite amplitude rotating stall cells was investigated on two laboratory test compressors and it was shown that modal perturbations are not always present prior to stall, and when present, sometimes have little direct effect on the formation.
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