Impact of fuel supply impedance and fuel staging on gas turbine ...

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188 Figure A.1: Sketch <strong>of</strong> the acoustic network model <strong>of</strong> the combustion configuration with three injection stages, case B. Legend: Boundary Condition Simple Duct Area Change Closed end (loudspeaker) Axial Swirler Closed end Resonator tube I T-junction Fuel Flame plenum I AC IV Axial Swirler Fuel injection tube I Plenum AC I Mixing Air-<strong>fuel</strong> section I T-junction Mixing Combustion AC II Flame section IV chamber I Closed end Resonator tube II Fuel plenum II AC V Fuel injection tube II Mixing section II Air-<strong>fuel</strong> T-junction II Mixing section III Combustion partly reflecting chamber II Open End Appendix
A.3 Main flow parameters <strong>and</strong> structure <strong>of</strong> the acoustic network models Simple ducts l [m] M [-] ρ [kg/m 3 ] c [m/s] Plenum 0.095 0.0018 1.166 349 Mixing section I 0.055 0.053 1.166 349 Mixing section II 0.08 0.055 1.14 350.6 Mixing section III 0.045 0.055 1.14 350.6 Combustion chamber I 0.03 0.018 1.14 350.6 Combustion chamber II 0.27 0.019 0.176 851.4 Fuel injection tube 0.005 0.191 0.66 448 Fuel plenum <strong>and</strong> resonator tube L R,2 0.0173 0.66 448 Table A.1: Main flow parameters <strong>of</strong> the simple ducts (configuration A). Simple ducts l [m] M [-] ρ [kg/m 3 ] c [m/s] Plenum 0.095 0.00176 1.182 346 Mixing section I 0.055 0.052 1.182 346 Mixing section II 0.04 0.053 1.168 349 Mixing section III 0.04 0.056 1.13 350.6 Mixing section IV 0.045 0.056 1.13 350.6 Combustion chamber I 0.03 0.0186 1.13 350.6 Combustion chamber II 0.27 0.019 0.176 851.4 Fuel injection tube I 0.005 0.138 0.66 448 Fuel plenum <strong>and</strong> resonator tube I L R,2 0.0125 0.66 448 Fuel injection tube II 0.005 0.208 0.66 448 Fuel plenum <strong>and</strong> resonator tube II L R,3 0.0185 0.66 448 Table A.2: Main flow parameters <strong>of</strong> the simple ducts (configuration B). Area changes A i [m 2 ] A j [m 2 ] ζ [-] Plenum - mixing section (AC I) 0.312 0.00106 0.27 Mixing section II - combustion chamber I (AC II) 0.00106 0.00816 8.5 Fuel plenum I - <strong>fuel</strong> injection tube I (AC IV) 0.00005 0.000009 0 / 0.73 Fuel plenum II - <strong>fuel</strong> injection tube II (AC IV) 0.00005 0.000009 0 / 0.73 Table A.3: Main flow parameters <strong>of</strong> the area changes (configuration A, B). 189
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Technische Universität München In
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und ihre Geduld besonders für die
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Contents 1 Introduction 1 1.1 Techn
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CONTENTS 7.2.2 Impact</stro
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Nomenclature G stretch factor [-] h
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Nomenclature λ air-fuel</s
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1 Introduction 1.1 Technology backg
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1.2 Thermo-acoustic instabilities 1
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1.2 Thermo-acoustic instabilities d
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1.3 Control of the
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1.3 Control of the
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1.4 Intention and
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1.5 Terminology and</strong
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1.5 Terminology and</strong
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2 Numerical analysis of</st
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2.1 Overview of me
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2.1 Overview of me
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2.1 Overview of me
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2.2 Flame dynamics of</stro
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2.3 Identification of</stro
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3 Acoustics Before analyzing the ac
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3.1 Basic acoustic equations as a f
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3.2 Linear acoustic equations Here,
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3.2 Linear acoustic equations p ′
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3.3 Acoustic network model p ′ (x
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3.3 Acoustic network model matrix e
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3.3 Acoustic network model The <str
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3.3 Acoustic network model where A
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3.3 Acoustic network model coming c
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3.3 Acoustic network model Z i Air
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3.3 Acoustic network model pressure
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3.3 Acoustic network model The eige
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3.3 Acoustic network model tine. To
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4 Modeling of turb
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4.1 Theory and num
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4.1 Theory and num
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4.2 Theoretical and</strong
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5 System Identification Flame trans
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5.1 Model structures and</s
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5.2 System Identification 5.2 Syste
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5.3 Excitation signals the zero mea
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5.4 A posteriori validation <strong
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5.4 A posteriori validation <strong
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5.5 Proof
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5.5 Proof
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5.5 Proof
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5.5 Proof
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5.5 Proof
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5.5 Proof
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6 Numerical simulation MISO model i
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6.1 Practical premixed combustor co
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6.2 Steady-state simulations <stron
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6.2 Steady-state simulations <stron
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6.3 Identifiction of</stron
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Page 151 and 152: 6.4 Identification of</stro
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Page 185 and 186: Bibliography [1] Verband</s
Page 187 and 188: BIBLIOGRAPHY [18] L. Crocco. Theore
Page 189 and 190: BIBLIOGRAPHY [36] A. Giauque, L. Se
Page 191 and 192: BIBLIOGRAPHY [54] J.J. Keller, W. E
Page 193 and 194: BIBLIOGRAPHY [72] T. Lieuwen <stron
Page 195 and 196: BIBLIOGRAPHY Number 98-GT-269 in In
Page 197 and 198: BIBLIOGRAPHY [112] T. Sattelmayer.
Page 199 and 200: BIBLIOGRAPHY [130] A. Widenhorn. pr
Page 201: A.2 Estimation of
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