Abstract

The compressor is operated at unsteady exit conditions in many scenarios such as the instability of combustion in gas turbine and denotation engine. The aerodynamic stability of the compressor is inevitably influenced by the unsteady operating environment. In this paper, a one-dimensional (1D) model that combines pulsation and unsteady responses of the compressor is developed to investigate the stability of the compressor system. The results show that the onset of surge and the transient responses of the compressor during surge are well predicted by the method. The amplitude of the component at surge frequency obtained by fast Fourier transformation (FFT) method is applied as a criterion to quantitively evaluate the onset and the strength of the surge. Compressor stability is enhanced at pulsating conditions due to the interaction between forced oscillation of pulsation and self-sustained oscillation of surge. An analytical model is established to understand the mechanism of the enhancement of compressor stability under pulsation. The change of total energy of the compressing system is proposed to evaluate the influence of pulsating conditions. Specifically, the energy change is reduced for pulsation conditions due to two aspects: the lower slope of compressor characteristic curve due to the lag-effect of compressor responses and the higher energy dissipation due to the nonlinear throttling effect.

References

1.
Krain
,
H.
,
2005
, “
Review of Centrifugal Compressor's Application and Development
,”
ASME J. Turbomach.
,
127
(
1
), pp.
25
34
.10.1115/1.1791280
2.
Watson
,
N.
, and
Janota
,
M. S.
,
1982
,
Turbocharging the Internal Combustion Engine
,
The Macmillan Press Ltd
,
London
, UK, p.
2
.
3.
Shih
,
W. P.
,
Lee
,
J. G.
, and
Santavicca
,
D. A.
,
1996
, “
Stability and Emissions Characteristics of a Lean Premixed Gas Turbine Combustor
,”
Symp. (Int.) Combust.
,
26
(
2
), pp.
2771
2778
.10.1016/S0082-0784(96)80115-9
4.
Liu
,
Y.
,
Li
,
J.
,
Han
,
Q.
, and
Yan
,
Y.
,
2019
, “
Study of Combustion Oscillation Mechanism and Flame Image Processing
,”
AIAA J.
,
57
(
2
), pp.
824
835
.10.2514/1.J057614
5.
Rodgers
,
C.
,
2001
, “
Turbocharging a High Altitude UAV C.I. Engine
,”
AIAA
Paper No. 2001-3970.10.2514/6.2001-3970
6.
Ma
,
J. Z.
,
Luan
,
M.
,
Xia
,
Z.
,
Wang
,
J.
,
Zhang
,
S.
,
Yao
,
S.
, and
Wang
,
B.
,
2020
, “
Recent Progress, Development Trends, and Consideration of Continuous Detonation Engines
,”
AIAA J.
,
58
(
12
), pp.
4976
5035
.10.2514/1.J058157
7.
Bennett
,
D.
,
Schneider
,
J.
,
Wilson
,
R.
,
Bienias
,
J.
,
Berrykravis
,
E.
, and
Arnold
,
S.
,
2013
, “
Rotating Detonation Engine Operation
,”
AIAA
Paper No. 2012-0119.10.2514/6.2012-119
8.
Saracoglu
,
B. H.
, and
Paniagua
,
G.
,
2016
, “
Compressor Integration Study for a Pulse Detonation Engine
,”
AIAA
Paper No. 2016-0397.10.2514/6.2016-0397
9.
Sun
,
X.
,
Ma
,
Y.
,
Liu
,
X.
, and
Sun
,
D.
,
2016
, “
Flow Stability Model of Centrifugal Compressors Based on Eigenvalue Approach
,”
AIAA J.
,
54
(
8
), pp.
2361
2376
.10.2514/1.J054350
10.
Cumpsty
,
N. A.
,
1989
,
Compressor Aerodynamics
,
Longman Scientific & Technical
, Malabar,
FL
.
11.
Day
,
I. J.
,
2016
, “
Stall, Surge, and 75 Years of Research
,”
ASME J. Turbomach.
,
138
(
1
), p.
011001
.10.1115/1.4031473
12.
Benson
,
R. S.
, and
Whitfield
,
A.
,
1965
, “
An Experimental Investigation of the Non-Steady Flow Characteristics of a Centrifugal Compressor
,”
Proc. Inst. Mech. Eng.
,
180
(
1
), pp.
641
672
.10.1243/PIME_PROC_1965_180_043_02
13.
Kurz
,
R.
,
McKee
,
R.
, and
Brun
,
K.
,
2006
, “
Pulsations in Centrifugal Compressor Installations
,”
ASME
Paper No. GT2006-90070.10.1115/GT2006-90070
14.
Brun
,
K.
,
Simons
,
S.
, and
Kurz
,
R.
,
2017
, “
The Impact of Reciprocating Compressor Pulsations on the Surge Margin of Centrifugal Compressors
,”
ASME J. Eng. Gas Turbines Power
,
139
(
8
), p.
082604
.10.1115/1.4035822
15.
Brun
,
K.
, and
Kurz
,
R.
, April 21,
2010
, “
Analysis of the Effects of Pulsations on the Operational Stability of Centrifugal Compressors in Mixed Reciprocating and Centrifugal Compressor Stations
,”
ASME J. Eng. Gas Turbines Power
,
132
(
7
), p.
072402
.10.1115/1.4000299
16.
Shu
,
M.
,
Yang
,
M.
,
Zhang
,
K.
,
Deng
,
K.
,
Yang
,
B.
, and
Martinez-Botas
,
R.
,
2019
, “
Experimental Study on Performance of Centrifugal Compressor Exposed to Pulsating Backpressure
,”
Aerosp. Sci. Technol.
,
95
(
Dec
), p.
105450
.10.1016/j.ast.2019.105450
17.
Galindo
,
J.
,
Climent
,
H.
,
Guardiola
,
C.
, and
Tiseira
,
A.
,
2009
, “
On the Effect of Pulsating Flow on Surge Margin of Small Centrifugal Compressors for Automotive Engines
,”
Exp. Therm. Fluid Sci.
,
33
(
8
), pp.
1163
1171
.10.1016/j.expthermflusci.2009.07.006
18.
Barrera-Medrano
,
M. E.
,
Newton
,
P.
,
Martinez-Botas
,
R.
,
Rajoo
,
S.
,
Tomita
,
I.
, and
Ibaraki
,
S.
,
2017
, “
Effect of Exit Pressure Pulsation on the Performance and Stability Limit of a Turbocharger Centrifugal Compressor
,”
ASME J. Eng. Gas Turbines Power
,
139
(
5
), p.
052601
.10.1115/1.4034689
19.
Zhang
,
M.
,
Zheng
,
X.
,
Huang
,
Q.
, and
Sun
,
Z.
,
2019
, “
A Novel One-Dimensional–Three-Dimensional Coupled Method to Predict Surge Boundary of Centrifugal Compressors
,”
ASME J. Eng. Gas Turbines Power
,
141
(
7
), p.
071012
.10.1115/1.4042419
20.
Yang
,
M.
,
Deng
,
K.
,
Martines-Botas
,
R.
, and
Zhuge
,
W.
,
2016
, “
An Investigation on Unsteadiness of a Mixed-Flow Turbine Under Pulsating Conditions
,”
Energy Convers. Manage.
,
110
(
Feb
), pp.
51
58
.10.1016/j.enconman.2015.12.007
21.
Davis
,
M. W.
, and
F
,
O. W.
,
1987
, “
A Stage-by-Stage Post-Stall Compression System Modeling Technique: Methodology, Validation, and Application
,”
AIAA
Paper No. 1987-2088.10.2514/6.1987-2088
22.
Day
,
I. J.
,
1994
, “
Axial Compressor Performance During Surge
,”
J. Propul. Power
,
10
(
3
), pp.
329
336
.10.2514/3.23760
23.
Galindo
,
J.
,
Serrano
,
J. R.
,
Arnau
,
F. J.
, and
Piqueras
,
P.
,
2008
, “
Description and Analysis of a One-Dimensional Gas-Dynamic Model With Independent Time Discretization
,”
ASME
Paper No. ICES2008-1610.10.1115/ICES2008-1610
24.
Galindo
,
J.
,
Serrano
,
J. R.
,
Climent
,
H.
, and
Tiseira
,
A.
,
2008
, “
Experiments and Modelling of Surge in Small Centrifugal Compressor for Automotive Engines
,”
Exp. Therm. Fluid Sci.
,
32
(
3
), pp.
818
826
.10.1016/j.expthermflusci.2007.10.001
25.
Shu
,
M.
,
Yang
,
M.
,
Martinez-Botas
,
R. F.
,
Deng
,
K.
, and
Shi
,
L.
,
2019
, “
Unsteady Responses of the Impeller of a Centrifugal Compressor Exposed to Pulsating Backpressure
,”
ASME J. Eng. Gas Turbines Power
,
141
(
4
), p.
041005
.10.1115/1.4041658
26.
Yang
,
B.
,
Newton
,
P.
, and
Martinez-Botas
,
R.
,
2017
, “
Unsteady Evolution of Secondary Flows in a Mixed Turbine
,”
Proceedings of the Global Power and Propulsion Forum
, Zurich, Switzerland, pp.
1
9
.
27.
Huppert
,
M. C.
, and
Benser
,
W. A.
,
1953
, “
Some Stall and Surge Phenomena in Axial Flow Compressors
,”
J. Aeronaut. Sci.
,
20
(
12
), pp.
835
845
.10.2514/8.2871
28.
Emmons
,
H.
,
Pearson
,
C.
, and
Grant
,
H.
,
1955
, “
Compressor Surge and Stall Propagation
,”
ASME Trans.
,
127
(
2
), pp.
455
469
.
29.
Greitzer
,
E. M.
,
1976
, “
Surge and Rotating Stall in Axial Flow Compressors—Part I: Theoretical Compression System Model
,”
J. Eng. Power
,
98
(
2
), pp.
190
198
.10.1115/1.3446138
30.
Greitzer
,
E. M.
,
1976
, “
Surge and Rotating Stall in Axial Flow Compressors—Part II: Experimental Results and Comparison With Theory
,”
J. Eng. Power
,
98
(
2
), pp.
190
198
.10.1115/1.3446139
31.
Fink
,
D. A.
,
Cumpsty
,
N. A.
, and
Greitzer
,
E. M.
,
1992
, “
Surge Dynamics in a Free-Spool Centrifugal Compressor System
,”
ASME J. Turbomach.
,
114
(
2
), pp.
321
332
.10.1115/1.2929146
32.
Xue
,
Y.
,
Yang
,
M.
,
Martinez-Botas
,
R. F.
,
Yang
,
B.
, and
Deng
,
K.
,
2019
, “
Unsteady Performance of a Mixed-Flow Turbine With Nozzled Twin-Entry Volute Confronted by Pulsating Incoming Flow
,”
Aerosp. Sci. Technol.
,
95
(
Dec
), p.
105485
.10.1016/j.ast.2019.105485
33.
Poinsot
,
T. J.
, and
Lelef
,
S. K.
,
1992
, “
Boundary Conditions for Direct Simulations of Compressible Viscous Flows
,”
J. Comput. Phys.
,
101
(
1
), pp.
104
129
.10.1016/0021-9991(92)90046-2
34.
Yang
,
M.
,
Zhang
,
K.
,
Shu
,
M.
, and
Deng
,
K.
,
2020
, “
Experimental Study on Unsteady Flow Field in a Centrifugal Compressor at Pulsating Backpressure Conditions
,”
Aerosp. Sci. Technol.
,
106
(
Nov
), p.
106168
.10.1016/j.ast.2020.106168
35.
Greitzer
,
E. M.
,
Tan
,
C. S.
, and
Graf
,
M. B.
,
2007
,
Internal Flow: Concepts and Applications
,
Cambridge University Press
,
Cambridge, UK
.
36.
Stoker
,
J. J.
,
1954
,
Nonlinear Vibrations in Mechanical and Electrical Systems
,
Interscience Publication
,
New York
.
You do not currently have access to this content.