An important task in the design of turbo machinery is the determination of the aerothermodynamic parameters necessary to assure optimum matching of the individual compressor components. With centrifugal compressors, the problem is to design impeller and diffuser such that a maximum overall efficiency is achieved for the desired design point. For this purpose, a mathematical model is developed coupling the individual component efficiencies. In the first part of this paper, the aerothermodynamic bases are derived and the coupling equation is illustrated. In the second part, a solution is displayed for the complex problem of matching the impeller and the vaneless diffuser of a centrifugal compressor. The solution is obtained by means of a stochastic-mathematical optimization procedure based on the biological evolution strategy.

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