Domestic scale heat pumps and air conditioners are mainly driven by volumetric compressors. Yet the use of reduced scale centrifugal compressors is reconsidered due to their high efficiency and power density. The design procedure of centrifugal compressors starts with predesign tools based on the Cordier line. However, the optimality of the obtained predesign, which is the starting point of a complex and iterative process, is not guaranteed, especially for small-scale compressors operating with refrigerants. This paper proposes a data-driven predesign tool tailored for small-scale centrifugal compressors used in refrigeration applications. The predesign model is generated using an experimentally validated one-dimensional (1D) code which evaluates the compressor performance as a function of its detailed geometry and operating conditions. Using a symbolic regression tool, a reduced order model that predicts the performance of a given compressor geometry has been built. The proposed predesign model offers an alternative to the existing tools by providing a higher level of detail and flexibility. Particularly, the model includes the effect of the pressure ratio, the blade height ratio, and the shroud to tip radius ratio. The analysis of the centrifugal compressor losses allows identifying the underlying phenomena that shape the new isentropic efficiency contours. Compared to the validated 1D code, the new predesign model yields deviations below 4% on the isentropic efficiency, while running 1500 times faster. The new predesign model is, therefore, of significant interest when the compressor is part of an integrated system design process.

References

1.
Bandarra-Filho
,
E. P.
,
Chen
,
L.
, and
Thome
,
J. R.
,
2009
, “
Flow Boiling Characteristics and Flow Pattern Visualization of Refrigerants/Lubricant Oil Mixture
,”
Int. J. Refrig.
,
32
(
2
), pp.
185
202
.
2.
Javed
,
A.
,
Arpagaus
,
C.
,
Bertsch
,
S.
, and
Schiffmann
,
J.
,
2016
, “
Small-Scale Turbocompressors for Wide-Range Operation With Large Tip-Clearances for a Two-Stage Heat Pump Concept
,”
Int. J. Refrig.
,
69
, pp.
285
302
.
3.
Demierre
,
J.
,
Rubino
,
A.
, and
Schiffmann
,
J.
,
2015
, “
Modeling and Experimental Investigation of an Oil-Free Microcompressor-Turbine Unit for an Organic Rankine Cycle Driven Heat Pump
,”
ASME J. Eng. Gas Turbines Power
,
137
(
3
), p.
032602
.
4.
Cordier
,
O.
,
1955
,
Ähnlichkeitsbedingungen Für Strömungsmaschinen
, Vol.
3
,
VDI Bericht
,
Düsseldorf, Germany
.
5.
Aungier
,
R. H.
,
2000
,
Centrifugal Compressors: A Strategy for Aerodynamic Design and Analysis
,
American Society of Mechanical Engineers
,
New York
.
6.
Galvas
,
M.
,
1973
, “
Fortran Program for Predicting Off-Design Performance of Centrifugal Compressors
,” NASA Lewis Research Center/U.S. Army Air Mobility R&D Laboratory, Cleveland, OH, Technical Report No.
NASA-TN-D-7487
.https://ntrs.nasa.gov/search.jsp?R=19740001912
7.
Bommes
,
L.
,
Fricke
,
J.
, and
Grundmann
,
R.
,
2002
,
Ventilatoren
,
Vulkan-Verlag, Essen
,
Germany
.
8.
Gülich
,
J. F.
,
2008
,
Centrifugal Pumps
,
Springer
,
Berlin
.
9.
Casey
,
M. V.
, and
Marty
,
F.
,
1985
, “
Centrifugal Compressors—Performance at Design and Off-Design Conditions
,”
Proc. Inst. Refrig., London
,
82
, pp. 71–80.
10.
Forrester
,
A.
,
Sobester
,
A.
, and
Keane
,
A.
,
Engineering Design Via Surrogate Modelling: A Practical Guide
,
Wiley
,
Hoboken, NJ
.
11.
Schmidt
,
M.
, and
Lipson
,
H.
,
2009
, “
Distilling Free-Form Natural Laws From Experimental Data
,”
Science
,
324
(
5923
), pp.
81
85
.
12.
Bamberger
,
K.
, and
Carolus
,
T.
,
2017
, “
A Novel Optimization Based Design Method for Centrifugal Fans
,”
12th European Conference on Turbomachinery Fluid Dynamics and Thermodynamics (ETC)
, Stockholm, Sweden, Apr. 3–7, Paper No.
ETC2017-326
http://www.euroturbo.eu/publications/proceedings-papers/etc2017-326/.
13.
Schiffmann
,
J.
, and
Favrat
,
D.
,
2010
, “
Design, Experimental Investigation and Multi-Objective Optimization of a Small Scale Radial Compressor for Heat Pump Applications
,”
Energy
,
35
(
1
), pp.
436
450
.
14.
Baines
,
N.
,
2005
,
Fundamentals of Turbocharging
,
Concepts NREC
,
White River Junction, VT
.
15.
Balje
,
O.
,
1981
,
Turbomachines: A Guide to Design, Selection and Theory
,
Wiley
,
Hoboken, NJ
.
16.
Casey
,
M.
,
Zwissig
,
C.
, and
Robinson
,
C.
,
2010
, “
The Cordier Line for Mixed Flow Compressors
,”
ASME
Paper No. GT2010-22549
.
17.
Schmidt
,
M.
, and
Lipson
,
H.
,
2014
, “
Eureqa (Version 0.98 Beta)
,” Nutonian Inc., Boston MA.
18.
Schmidt
,
M.
, and
Lipson
,
H.
,
2008
, “
Coevolution of Fitness Predictors
,”
IEEE Trans. Evol. Comput.
,
12
(
6
), pp.
736
749
.
19.
Mounier
,
V.
,
Picard
,
C.
, and
Schiffmann
,
J.
,
2018
, “
Data-Driven Pre-Design Tool for Centrifugal Compressor-Supplementary Material
,” Mendeley Data,
Version 1
.
20.
Rodgers
,
C.
,
1991
, “
The Efficiencies of Single-Stage Centrifugal Compressors for Aircraft Applications
,”
ASME
Paper No. 91-GT-077
.
21.
Brasz
,
J. J.
,
1988
, “
Investigation Into the Effect of Tip Clearance on Centrifugal Compressor Performance
,”
ASME
Paper No. 88-GT-190.
22.
Rodgers
,
C.
,
1987
, “
Mainline Performance Prediction for Radial Inflow Turbine
,”
Small High Pressure Ratio Turbines
(VKI Lecture Series 1987-07), von Karman Institute, Rhode-St-Genese, Belgium.
23.
Coppage
,
J. E.
,
Dallenbach
,
F.
,
Eichenberger
,
H. P.
,
Hlavaka
,
G. E.
,
Knoernschild
,
E. M.
, and
Le
,
N. V.
,
1956
, “
Study of Supersonic Radial Compressors for Refrigeration and Pressurization Systems
,” Wright Air Development Center, Wright-Patterson Air Force Base, OH, Technical Report No.
WADC TR 55- 257
.http://contrails.iit.edu/reports/3689
24.
Senoo
,
Y.
, and
Kinoshita
,
Y.
,
1977
, “
Influence of Inlet Flow Conditions and Geometries of Centrifugal Vaneless Diffusers on Critical Flow Angle for Reverse Flow
,”
ASME J. Fluids Eng.
,
99
(
1
), pp.
98
102
.
25.
Daily
,
J. W.
, and
Nece
,
R. E.
,
1960
, “
Chamber Dimension Effects on Induced Flow and Frictional Resistance of Enclosed Rotating Disks
,”
Tans. ASME J. Basic Eng.
,
82
(
1
), pp.
217
232
.
You do not currently have access to this content.