Research Papers: Gas Turbines: Combustion, Fuels, and Emissions

Comparison of Nonlinear to Linear Thermoacoustic Stability Analysis of a Gas Turbine Combustion System

[+] Author and Article Information
Werner Krebs

e-mail: wernerkrebs@siemens.com

Harmen Krediet

Siemens AG,
Energy Sector,
Mülheim 45473, Germany

Enrique Portillo

Siemens AG,
Energy Sector,
Orlando, FL 32817

Thierry Poinsot

Toulouse 31057,France

Oliver Paschereit

Technische Universität Berlin,
Berlin 10623,Germany

The transport equation for acoustic energy accounting for mean flow contribution can be derived by treating Eq. (1) in the same manner.

1Corresponding author.

Contributed by the Combustion and Fuels Committee of ASME for publication in the JOURNAL OF ENGINEERING FOR GAS TURBINES AND POWER. Manuscript received December 21, 2012; final manuscript received February 12, 2013; published online June 24, 2013. Editor: David Wisler.

J. Eng. Gas Turbines Power 135(8), 081503 (Jun 24, 2013) (8 pages) Paper No: GTP-12-1491; doi: 10.1115/1.4023887 History: Received December 21, 2012; Revised February 12, 2013

Gas turbines offer a high operational flexibility and a good turn down ratio to meet future requirements of power production. In this context, stable operation over a wide range and for different blends of fuel is requested. Thermoacoustic stability assessment is crucial for accelerating the development and implementation of new combustion systems. The results of nonlinear and linear thermoacoustic stability assessments are compared on the basis of recent measurements of flame describing functions and thermoacoustic stability of a model swirl combustor operating in the fully turbulent regime. The different assessment methods are outlined. The linear thermoacoustic stability assessment yields growth rates of the thermoacoustic instability whereas the limit cycle amplitude is predicted by the nonlinear stability method. It could be shown that the predicted limit cycle amplitudes correlate well with the growth rates of excitation obtained from linear modeling. Hence, for screening the thermoacoustic stability of different design approaches a linear assessment may be sufficient while for detailed prediction of the dynamic pressure amplitude more efforts have to be spent on the nonlinear assessment including the analysis of the nonlinear flame response.

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Fig. 1

Interaction between energy losses and energy gain via unsteady heat addition

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Fig. 2

Schematic drawing of the test rig [11]

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Fig. 3

Flame describing function for the perfectly premixed case

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Fig. 4

Flame describing function for the partially premixed case

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Fig. 5

Growth rate of the linear stability assessment of the partially premixed and perfectly premixed flame

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Fig. 6

Representation of the TU Berlin rig with the GIM tool

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Fig. 7

Limit cycle prediction of the dynamic pressure amplitude for the partially premixed case with flame describing function from measurement

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Fig. 8

Dynamic pressure spectrum of the instability

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Fig. 9

Calculated energy balance of gain and losses for the partially premixed case

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Fig. 10

Limit cycle amplitudes of dynamic pressure for the perfectly premixed and partially premixed system

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Fig. 11

Comparison of growth rate to limit cycle amplitude for the perfectly premixed case

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Fig. 12

Comparison of growth rate to limit cycle amplitude for the partially premixed case

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Fig. 13

Thermoacoustic energy balance for systems with different growth rates in the linear regime I




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