This paper presents a multi-objective optimization-based intelligence design method for the design of the three-dimensional vaned diffuser for a given centrifugal compressor. This design method consists of three-dimensional vaned diffuser design model and its solving strategy. The three-dimensional vaned diffuser design model consists of the diffuser geometry mathematical model, performance evaluation model, objective equation, and design space. The diffuser geometry is described by the mathematical model of the meridional configurations and vane camber, trailing edge lean, and thickness. The generic design space is determined through literature statistical investigation. An NSGA-II multi-objective optimization algorithm, utilized to solve the three-dimensional vaned diffuser design model, directs the diffuser geometry variables to achieve the maximum stage isentropic efficiency and static pressure ratio at the design point within the design space automatically and intelligently. The presented three-dimensional vaned diffuser design method is demonstrated using a case test for a centrifugal impeller. The convergence of evolutionary solving for this three-dimensional vaned diffuser model is analyzed in detail, which provides the convergence reference for engineering applications. Three representative three-dimensional vaned diffusers on Pareto front are utilized to check the diversity of geometry shape and overall range performance characteristics. The results show that the three-dimensional vaned diffuser design method established here has excellent potential in automated design and maximizing stage performance. The method reported here could provide a valuable reference for the intelligent design of radial turbomachinery diffusers.
ZangenehM. A compressible three-dimensional design method for radial and mixed flow turbomachinery blades. Int J Numer Methods Fluids1991; 13: 599–624.
4.
BonaiutiDZangenehM. On the coupling of inverse design and optimization techniques for the multiobjective, multipoint design of turbomachinery blades. J Turbomach2009; 131: 21014–21014.
5.
VerstraeteTAlsalihiZVan den BraembusscheRA. Multidisciplinary optimization of a radial compressor for microgas turbine applications. J Turbomach2010; 132: 31004–31004.
6.
KimYEngedaAAungierRet al.A centrifugal compressor stage with wide flow range vaned diffusers and different inlet configurations. Proc IMechE, Part A: J Power and Energy2002; 216: 307–320.
7.
IssacJMSitaramNGovardhanM. Performance and wall static pressure measurements on centrifugal compressor diffusers. Proc IMechE, Part A: J Power and Energy2003; 217: 547–558.
8.
EngedaA. Experimental and numerical investigation of the performance of a 240 kW centrifugal compressor with different diffusers. Exp Therm Fluid Sci2003; 28: 55–72.
9.
OhJBuckleyCWAgrawalGL. Numerical investigation of low solidity vaned diffuser performance in a high-pressure centrifugal compressor – part III: tandem vanes. J Turbomach2012; 134: 61025–61025.
10.
KimHParkJRyuSet al.The performance evaluation with diffuser geometry variations of the centrifugal compressor in a marine engine (70 MW) turbocharger. J Eng Gas Turbines Power2009; 131: 12201–12201.
11.
KunteRSchwarzPWilkoszBet al.Experimental and numerical investigation of tip clearance and bleed effects in a centrifugal compressor stage with pipe diffuser. J Turbomach2012; 135: 11005–11005.
Zangeneh M, Vogt D and Roduner C. Improving a vaned diffuser for a given centrifugal impeller by 3D inverse design. In: ASME Turbo Expo 2002: power for land, sea, and air, Amsterdam, The Netherlands, 3–6 June 2002, pp.1111–1122. USA: American Society of Mechanical Engineers.
17.
Wang Z, Xi G and Wang X. Aerodynamics design optimization of vaned diffuser for centrifugal compressors using Kriging model. In: Proceeding of Asian joint conference on propulsion and power (AJCPP’06), Beijing, China, 20–23 April 2006.
18.
Xi G, Wang Z, Zhang C, et al. Aerodynamic optimization design of vaned diffusers for the 100 kW micro gas turbine’s centrifugal compressor. In: ASME Turbo Expo 2008: power for land, sea, and air, Berlin, Germany, 9–13 June 2008, pp.2297–2303. USA: American Society of Mechanical Engineers.
19.
KimSParkJAhnKet al.Numerical investigation and validation of the optimization of a centrifugal compressor using a response surface method. Proc IMechE, Part A: J Power and Energy2010; 224: 251–259.
20.
BeniniETourlidakisA. Design optimization of vaned diffusers of centrifugal compressors using genetic algorithms. AIAA Paper2001, pp. 2001–2583.
21.
Benini E and Toffolo A. Centrifugal compressor of a 100 kW microturbine: part 3 – optimization of diffuser apparatus. In: ASME Turbo Expo 2003, collocated with the 2003 international joint power generation conference. USA: American Society of Mechanical Engineers, 2003, pp.707–714.
22.
OliveroMPasqualeDGhidoniAet al.Three-dimensional turbulent optimization of vaned diffusers for centrifugal compressors based on metamodel-assisted genetic algorithms. Optim Eng2014; 15: 973–992.
23.
InoueMCumpstyNA. Experimental study of centrifugal impeller discharge flow in vaneless and vaned diffusers. J Eng Gas Turbines Power1984; 106: 455–467.
24.
Bammert K, Jansen M and Rautenberg M. On the influence of the diffuser inlet shape on the performance of a centrifugal compressor stage. In: ASME 1983 international gas turbine conference and exhibit, Phoenix, Arizona, 27–31 March 1983, p. V1T.
25.
Abdelwahab A. The aerodynamics of three-dimensional vaned diffusers in industrial centrifugal compressors. In: ASME 2005 fluids engineering division summer meeting, Houston, Texas, USA, 19–23 June 2005, pp.1351–1362. USA: American Society of Mechanical Engineers.
26.
AbdelwahabAGerberG. A new three-dimensional aerofoil diffuser for centrifugal compressors. Proc IMechE, Part A: J Power and Energy2008; 222: 819–830.
27.
Strohmeyer H and Hildebrandt A. Aerodynamic investigation on a 3D-vaned diffuser applied on a high flow 3D impeller. In: ASME Turbo Expo 2012: turbine technical conference and exposition, Copenhagen, Denmark, 11–15 June 2012, pp.617–626. USA: American Society of Mechanical Engineers.
28.
RaoPVMurtyGRRaoGV. Numerical studies of twisted vaned diffuser on the performance of a centrifugal compressor stage. Univers J Mech Eng2014; 2: 163–168.
29.
Zangeneh M. Inverse design of centrifugal compressor vaned diffusers in inlet shear flows. In: ASME 1994 international gas turbine and aeroengine congress and exposition. USA: American Society of Mechanical Engineers, 1994, p. V1T.
30.
DebKPratapAAgarwalSet al.A fast and elitist multiobjective genetic algorithm: NSGA-II. IEEE Trans Evol Comput2002; 6: 182–197.
31.
WangJWenSLiTet al.Multidisciplinary design optimization to reduce erosion of blades in a mixed flow fan. Proc IMechE, Part A: J Power & Energy2013; 228: 64–82.
32.
De BoorCDe BoorCMathématicienEet al.A practical guide to splines, New York: Springer-Verlag, 1978.
33.
WalkerPJ. Blade lean in axial turbines: model turbine measurements and simulation by a novel numerical method, Cambridge: University of Cambridge, 1987.
34.
Harrison S. The influence of blade stacking on aero-dynamic losses in turbine blade rows. PhD Thesis, Cambridge University, 1989.
35.
DentonJDXuL. The exploitation of three-dimensional flow in turbomachinery design. Proc IMechE, Part C: J Mechanical Engineering Science1998; 213: 125–137.
36.
WenSWangJLiTet al.Reducing solid particle erosion of an axial fan with sweep and lean using multidisciplinary design optimization. Proc IMechE, Part C: J Mechanical Engineering Science2014; 228: 2584–2603.
37.
Abdelwahab A. On the use of three-dimensional airfoil-shaped vaned diffusers with industrial centrifugal compressors. In: 4th AIAA theoretical fluid mechanics meeting, Toronto, Ontario, Canada, 6-9 June 2005, pp.6–9.
38.
ReddyTCSMurtyGRMukkavilliPet al.Effect of the setting angle of a low-solidity vaned diffuser on the performance of a centrifugal compressor stage. Proc IMechE, Part A: J Power and Energy2004; 218: 637–646.
39.
ReddySTCMurtyRGPrasadMet al.Experimental studies on the effect of impeller width on centrifugal compressor stage performance with low solidity vaned diffusers. Proc IMechE, Part A: J Power and Energy2007; 221: 519–533.
40.
Ishida M, Murakami T, Sakaguchi D, et al. Analysis of secondary flow behavior in low solidity cascade diffuser of a centrifugal blower. In: ASME Turbo Expo 2010: power for land, sea, and air, Glasgow, UK, 14–18 June 2010, pp.1973–1982. USA: American Society of Mechanical Engineers.
41.
EngedaA. The design and performance results of simple flat plate low solidity vaned diffusers. Proc IMechE, Part A: J Power and Energy2001; 215: 109–118.
42.
EynonPAWhitfieldA. The effect of low-solidity vaned diffusers on the performance of a turbocharger compressor. Proc IMechE, Part C: J Mechanical Engineering Science1997; 211: 325–339.
43.
Wang Z and Xi G. Analysis and redesign of the stationary components for a low flow coefficient centrifugal compressor stage. In: ASME Turbo Expo 2009: power for land, sea, and air, Orlando, Florida, 8–12 June 2009, pp.1267–1272. USA: American Society of Mechanical Engineers.
44.
Sakaguchi D, Ishida M, Hayami H, et al. Multipoint multi-objective optimization of a low solidity circular cascade diffuser in centrifugal blowers. In: ASME Turbo Expo 2014: turbine technical conference and exposition, Düsseldorf, Germany, 16–20 June 2014, pp.V1A–V10A. USA: American Society of Mechanical Engineers.
45.
Sakaguchi D, Ueki H, Ishida M, et al. Behavior of secondary flow in a low solidity tandem cascade diffuser. In: ASME Turbo Expo 2012: turbine technical conference and exposition, Copenhagen, Denmark, 11–15 June 2012, pp.763–770. USA: American Society of Mechanical Engineers.
46.
Iancu F, Trevino J and Sommer S. Low solidity cascade diffuser and scroll optimization for centrifugal compressors. In: ASME Turbo Expo 2008: power for land, sea, and air, Berlin, Germany, 9–13 June 2008, pp.1475–1485. USA: American Society of Mechanical Engineers.
47.
Mukkavilli P, Raju GR, Dasgupta A, et al. Flow studies on a centrifugal compressor stage with low solidity diffuser vanes. In: ASME Turbo Expo 2002: power for land, sea, and air, Amsterdam, The Netherlands, 3–6 June 2002, pp.587–595. USA: American Society of Mechanical Engineers.
48.
MarconciniMRubechiniFArnoneAet al.Numerical analysis of the vaned diffuser of a transonic centrifugal compressor. J Turbomach2010; 132: 41012–41012.
49.
CukurelBLawlessPBFleeterS. Particle image velocity investigation of a high speed centrifugal compressor diffuser: spanwise and loading variations. J Turbomach2010; 132: 21010–21010.
50.
IssacJMSitaramNGovardhanM. Effect of diffuser vane height and position on the performance of a centrifugal compressor. Proc IMechE, Part A: J Power and Energy2004; 218: 647–654.
51.
Oh J. Investigation of off-design performance of vaned diffusers in centrifugal compressors: part I – a channel-wedge diffuser. In: ASME Turbo Expo 2002: power for land, sea, and air, Amsterdam, The Netherlands, 3–6 June 2002, pp.597–604. USA: American Society of Mechanical Engineers.
52.
Mileshin VI, Brailko IA, Startsev AN, et al. 3D viscous inverse design of vaned diffuser to suppress flow unsteadiness in a centrifugal compressor. In: ASME 2005 fluids engineering division summer meeting, Houston, Texas, USA, 19– 23 June 2005, pp.161–168. USA: American Society of Mechanical Engineers.
53.
Oh J and Agrawal GL. Numerical investigation of low solidity vaned diffuser performance in a high-pressure centrifugal compressor: part I – influence of vane solidity. In: ASME Turbo Expo 2007: Power for Land, Sea, and Air, Montreal, Canada, 14–17 May 2007.
54.
Oh J, Buckley CW and Agrawal GL. Numerical investigation of low solidity vaned diffuser performance in a high-pressure centrifugal compressor: part II – influence of vane stagger. In: ASME Turbo Expo 2008: power for land, sea, and air, Berlin, Germany 9-13 June 2008, pp.1487–1494. USA: American Society of Mechanical Engineers.
55.
Amineni NK. Design and development of advanced vaned diffusers for centrifugal compressors. Michigan: Michigan State University, 1996.
56.
Arunachalam VC, Nagpurwala QH, Deshpande MD, et al. Numerical studies on the effect of impeller blade skew on centrifugal compressor performance. SASTECH Journal 2008; 7: 33–40.
57.
HeXZhengX. Mechanisms of lean on the performance of transonic centrifugal compressor impellers. J Propul Power2016; 32: 1220–1229.
58.
Oh J, Buckley CW and Agrawal GL. Numerical study on the effects of blade lean on high-pressure centrifugal impeller performance. In: ASME 2011 Turbo Expo: turbine technical conference and exposition, Vancouver, British Columbia, Canada, 6–10 June 2011, pp.1957–1969. USA: American Society of Mechanical Engineers.
59.
YoshinagaYGyobuIMishinaHet al.Aerodynamic performance of a centrifugal compressor with vaned diffusers. J Fluids Eng1980; 102: 486–493.
60.
Grönman A, Backman J, Dietmann F, et al. Review and collection of preliminary design rules for low solidity diffusers. In: 10th European Conference on Turbomachinery: Fluid Dynamics and Thermodynamics, Lappeenranta Univ Technol, Lappeenranta, FINLAND, 15–19 April 2013.
