Reduction of bleed valve rate requirements for control of rotating stall using continuous air injection

Yeung, S.; Murray, Richard M.

doi:10.1109/cca.1997.627738

Cited by 21 publications

(7 citation statements)

References 15 publications

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“…In particular, limitations due to finite-dimensional implementation are described in [37]. Other limiting factors such as actuator rate limits and noise are discussed in [18,47,46], and for further discussion of some of these issues, the reader is referred to [25]. In this work, we address only the issue of finite-dimensional implementation as it relates to the present theoretical results.…”

Section: Application: Control Of Axial Compressor Stall With Air Injementioning

confidence: 97%

Spillover Stabilization in Finite-Dimensional Control and Observer Design for Dissipative Evolution Equations

Hagen¹,

Mezić²

2003

SIAM J. Control Optim.

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We consider the problem of global stabilization of a semilinear dissipative evolution equation by finite-dimensional control with finite-dimensional outputs. Coupling between the system modes occurs directly through the nonlinearity and also through the control influence functions. Similar modal coupling occurs in the infinite-dimensional error dynamics through the nonlinearity and measurements. For both the control and observer designs, rather than decompose the original system into Fourier modes, we consider Lyapunov functions based on the infinite-dimensional dynamics of the state and error systems, respectively. The inner product terms of the Lyapunov derivative are decomposed into Fourier modes. Upper bounds on the terms representing control and observation spillover are obtained. Linear quadratic regulator (LQR) designs are used to stabilize the state and error systems with these upper bounds. Relations between system and LQR design parameters are given to ensure global stability of the state and error dynamics with robustness with respect to control and observation spillover, respectively. It is shown that the control and observer designs can be combined to yield a globally stabilizing compensator. The control and observer designs are numerically demonstrated on the problem of controlling stall in a model of axial compressors. Introduction.Modeling and control of infinite-dimensional systems is commonly practiced by approximating the underlying system by a finite-dimensional lumped system (via Galerkin projection [33], proper orthogonal decomposition [28,20,21,30], inertial manifolds [45], etc.). This is not necessary when the control is also infinite-dimensional and the system is spatially invariant [4,25], which simplifies the analysis of the infinite-dimensional system. However, for practical reasons, it is desirable to obtain finite-dimensional controllers that will stabilize the entire system (see, e.g., [3,26,34]). The problem inherent in decomposing a nonlinear infinite-dimensional system into Fourier modes is that the nonlinearity couples all of the modes, often making the decomposed system just as intractable as the original infinite-dimensional one. Common to all dissipative systems, the higher modes of the system often exhibit some form of stability which allows for the treatment of a truncated system of a finite number of modes. Control design can then be systematically carried out to stabilize the reduced order system. However, a systematic and quantifiable method of determining the minimum order of truncation remains elusive. The high modes of the system cannot be completely neglected due to the fact that modes are still coupled through the nonlinearity and that the control can inadvertently introduce energy into these high modes. This energy can act to destabilize the high modes or can be transferred to the low modes through nonlinear coupling. This phenomenon is referred to as spillover [2]. Analysis of reduced order systems [10,17]

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Section: Application: Control Of Axial Compressor Stall With Air Injementioning

confidence: 97%

Spillover Stabilization in Finite-Dimensional Control and Observer Design for Dissipative Evolution Equations

Hagen¹,

Mezić²

2003

SIAM J. Control Optim.

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“…It could accurately detect the precursor signal of compressor instability in the experiment. Although the piecewise FFT was effective for the instability induced by the slowly developed modal wave, it had a limited effect on the instability caused by the sharp spike pulse [2]. Short Time Fourier Transform (STFT) is a FT with a window that can be varied to improve the treatment to non-stationary signals.…”

Section: Introductionmentioning

confidence: 99%

“…(3) Gradually increase the value of m , repeat steps (2) until the change in the SNR value is relatively small, and the corresponding value is the reasonable ensemble number for EEMD.…”

mentioning

confidence: 99%

Pulsation Signals Analysis of Turbocharger Turbine Blades based on Optimal EEMD and TEO

Wang

2019

Polish Maritime Research

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Turbocharger turbine blades suffer from periodic vibration and flow induced excitation. The blade vibration signal is a typical non-stationary and sometimes nonlinear signal that is often encountered in turbomachinery research and development. An example of such signal is the pulsating pressure and strain signals measured during engine ramp to find the maximum resonance strain or during engine transient mode in applications. As the pulsation signals can come from different disturbance sources, detecting the weak useful signals under a noise background can be difficult. For this type of signals, a novel method based on optimal parameters of Ensemble Empirical Mode Decomposition (EEMD) and Teager Energy Operator (TEO) is proposed. First, an optimization method was designed for adaptive determining appropriate EEMD parameters for the measured vibration signal, so that the significant feature components can be extracted from the pulsating signals. Then Correlation Kurtosis (CK) is employed to select the sensitive Intrinsic Mode Functions (IMFs). In the end, TEO algorithm is applied to the selected sensitive IMF to identify the characteristic frequencies. A case of measured sound signal and strain signal from a turbocharger turbine blade was studied to demonstrate the capabilities of the proposed method.

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“…Various forms of casing treatment have been presented [2][3][4]. Other control strategies have also been used such as controllable inlet guide vanes [5], steady and unsteady tip injection [6][7][8][9][10][11][12][13], downstream bleed [14][15][16], and steady and controlled recirculation [17][18][19][20][21].…”

Section: Recirculation Casing Treatment By Using a Vaned Passage For A Transonic Axial-flow Compressor 1 Introductionmentioning

confidence: 99%

Recirculation casing treatment by using a vaned passage for a transonic axial-flow compressor

Khaleghi

Tousi

Boroomand

et al. 2007

Proceedings of the Institution of Mechanical Engineers, Part A:

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The tip leakage flow has an important influence on compressor performance particularly for the case of transonic compressors. Recirculation casing treatment is an effective approach to control the tip clearance flow which results in stability enhancement. Numerical simulations for a high-speed axial-flow compressor rotor with endwall recirculation, applying a state of the art design for the recirculation passageway are presented in the current study. Anti-swirl vanes are placed in the recirculation passageway. The effects of recirculation casing treatment on the compressor overall characteristics, stability, blade loading, and flow field are presented and discussed. Results show a significant range extension with a very small penalty in efficiency. Besides, the recirculated mass flow is only a few per cent of the main flowrate.

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Reduction of bleed valve rate requirements for control of rotating stall using continuous air injection

Cited by 21 publications

References 15 publications

Spillover Stabilization in Finite-Dimensional Control and Observer Design for Dissipative Evolution Equations

Spillover Stabilization in Finite-Dimensional Control and Observer Design for Dissipative Evolution Equations

Pulsation Signals Analysis of Turbocharger Turbine Blades based on Optimal EEMD and TEO

Recirculation casing treatment by using a vaned passage for a transonic axial-flow compressor

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