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TECHNICAL PAPERS: Gas Turbines: Controls, Diagnostics, and Instrumentation

Global Nonlinear Modeling of Gas Turbine Dynamics Using NARMAX Structures

[+] Author and Article Information
N. Chiras, C. Evans, D. Rees

School of Electronics, University of Glamorgan, Pontypridd CF27 1DL, Wales, UK

J. Eng. Gas Turbines Power 124(4), 817-826 (Sep 24, 2002) (10 pages) doi:10.1115/1.1470483 History: Received December 01, 2000; Revised March 01, 2001; Online September 24, 2002
Copyright © 2002 by ASME
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References

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Evans,  C., Rees,  D., and Jones,  L., 1995, “Identifying Linear Models of Systems Suffering Nonlinear Distortions, With a Gas Turbine Application,” IEE Proc.-D: Control Theory Appl., 142(3), pp. 229–240.
Evans,  C., Rees,  D., and Hill,  D., 1998, “Frequency-Domain Identification of Gas Turbine Dynamics,” IEEE Trans. Cont. Syst. Technol., 6(5), pp. 651–662.
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Evans,  C., Rees,  D., and Borrell,  A., 2000, “Identification of Aircraft Gas Turbine Dynamics Using Frequency-Domain Techniques,” Cont. Eng. Pract., 8(4), pp. 457–467.
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Figures

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Frequency response of high-pressure shaft model at 75% NH (solid), with estimated frequency response function (crosses)
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Poles and zeros of the linear frequency-domain models (a) high-pressure shaft and (b) low-pressure shaft. Showing: poles (×) and zeros (0).
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Nonlinear coherence of an odd-odd multisine at (a) input and (b) output. Input harmonics (solid), even harmonics (dashdot) and omitted odd harmonics (dotted). With 1/M bound (dashed).
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Triangular test (a) measured fuel flow (b) high-pressure shaft response
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Input-output relationship for the gas turbine when using a high-amplitude triangular wave (black), nonlinear fit (white)
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One period of an IRMLBS test (a) measured fuel flow (b) high-pressure shaft response
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Spectra of the IRMLBS test (a) measured fuel flow (b) high-pressure shaft response
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Concatenated data set used for estimation (a) measured fuel flow (b) high-pressure shaft response
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Output of triangular wave high-pressure shaft test. Measured output (solid), model 1 output (dashed), model 2 output (dash-dot).
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Output of three-level high-pressure shaft test. (a) Complete signal (b) portion of the signal. Measured output (solid), model 1 output (dashed), model 2 output (dash-dot).
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Output of IRMLBS high-pressure shaft test. (a) Complete signal (b) portion of the signal. Measured output (solid), linear s-domain model (dashed), nonlinear model output (dash-dot).
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Output of triangular wave high-pressure shaft test. Measured output (solid), linear s-domain model (dashed), nonlinear model output (dash-dot).
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Output of three-level high pressure shaft test. Measured output (solid), linear s-domain model (dashed), nonlinear model output (dash-dot).

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