A model for parameter estimation of multistage centrifugal compressor and compressor performance analysis using genetic algorithm

A model for performance prediction of multistage centrifugal compressor is proposed. The model allows the users to predict the compressor performance, e.g. pressure ratio, efficiency and losses using the compressor geometric information and speed by a stage stacking calculation based on the characteristics of each stage. To develop the compressor elemental stage characteristics, the compressor losses, such as incidence losses and friction losses, are mathematically modeled. For a composite systems, for instance a gas turbine power plant, the performance of the multistage centrifugal compressor can be evaluated. Since some important parameters of the compressor model, e.g., the slip factor σ, shock loss coefficient ζ and reference diameter D1, are hard to be determined by empirical laws, a genetic algorithm (GA) is used to solve the parameter estimation problem of the proposed model, and in turn the compressor performance analysis and parameters study are performed. The surge line for the multistage centrifugal compressor can also be determined from the simulation results. Furthermore, the model presented here provides a valuable tool for evaluating the multistage centrifugal compressor performance as a function of various operation parameters.

[1]  T. B. Ferguson.  The centrifugal compressor stage , 1963 .

[2]  F. J. Wallace,et al.  Performance Prediction for Automotive Turbocharger Compressors , 1975 .

[3]  J. D. Denton,et al.  An Improved Time Marching Method for Turbomachinery Flow Calculation , 1982 .

[4]  N. Watson,et al.  Turbocharging the internal combustion engine , 1982 .

[5]  Kenneth A. De Jong,et al.  Genetic algorithms: A 10 Year Perspective , 1985, ICGA.

[6]  Lawrence Davis,et al.  Genetic Algorithms and Simulated Annealing , 1987 .

[7]  John J. Grefenstette.  Proceedings of the First International Conference on Genetic Algorithms and their Applications, July 24-26, 1985, at the Carnegie-Mellon University, Pittsburgh, PA , 1988 .

[8]  Lalit M. Patnaik,et al.  Adaptive probabilities of crossover and mutation in genetic algorithms , 1994, IEEE Trans. Syst. Man Cybern..

[9]  B. Lakshminarayana.  Fluid dynamics and heat transfer of turbomachinery , 1995 .

[10]  Jan Tommy Gravdahl,et al.  Centrifugal compressor surge and speed control , 1999, IEEE Trans. Control. Syst. Technol..

[11]  J.T. Gravdahl,et al.  Modeling for surge control of centrifugal compressors: comparison with experiment , 2000, Proceedings of the 39th IEEE Conference on Decision and Control (Cat. No.00CH37187).

[12]  Soogab Lee,et al.  Numerical prediction of centrifugal compressor noise , 2004 .

[13]  Abraham Engeda,et al.  Experimental and Numerical Investigation of the Flow in a Vaneless Diffuser of a Centrifugal Compressor Stage. Part 1: Experimental Investigation , 2005 .

[14]  R. Kurz,et al.  Analysis of Secondary Flows in Centrifugal Impellers , 2005 .

[15]  Rafael Montenegro,et al.  Genetic algorithms for an improved parameter estimation with local refinement of tetrahedral meshes in a wind model , 2005, Adv. Eng. Softw..

[16]  Wei Jiang,et al.  Dynamic centrifugal compressor model for system simulation , 2006 .

[17]  Leonardo Baldassarre,et al.  Analysis and Optimization of Transonic Centrifugal Compressor Impellers Using the Design of Experiments Technique , 2006 .

[18]  B. Lakshminarayana.  Fluid Dynamics and Heat Transfer of Turbomachinery: Lakshminarayana/Fluid Dynamics and Heat Transfer of Turbomachinery , 2007 .

[19]  A. Grönman,et al.  Effects of Different Blade Angle Distributions on Centrifugal Compressor Performance , 2009 .

[20]  Lei Tan,et al.  Hydraulic design and pre-whirl regulation law of inlet guide vane for centrifugal pump , 2010 .

[21]  Jin Chen,et al.  Research on the natural meshing mechanism and testing analysis of scroll profiles for refrigeration scroll compressor , 2010 .

[22]  Dazhuan Wu,et al.  Performance prediction and flow analysis in the vaned distributor of a pump turbine under low flow rate in pump mode , 2010 .

[23]  Wei He,et al.  Performance study on three-stage power system of compressed air vehicle based on single-screw expander , 2010 .

[24]  Yanping Hu,et al.  Calculation and characteristics analysis of blade pitch loads for large scale wind turbines , 2010 .

[25]  Yuming Wang,et al.  Fluid-solid strong-interaction model of mechanical seals in reactor coolant pumps , 2011 .

[26]  Hua Chen,et al.  A 3D Compressible Flow Model for Weak Rotating Waves in Vaneless Diffusers—Part I: The Model and Mach Number Effects , 2012 .