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RESEARCH PAPERS

Optimum Design of Axial Flow Gas Turbine Stage—Part II: Solution of the Optimization Problem and Numerical Results

[+] Author and Article Information
S. S. Rao

Department of Mechanical Engineering, Indian Institute of Technology, Kanpur-208016, India

R. S. Gupta

Department of Mechanical Engineering, Punjab Engineering College, Chandigarh, 160012, India

J. Eng. Power 102(4), 790-797 (Oct 01, 1980) (8 pages) doi:10.1115/1.3230342 History: Received August 20, 1979; Online September 28, 2009

Abstract

The problem of stage design of axial flow gas turbines has been formulated as a nonlinear mathematical programming problem with the objective of minimizing aerodynamic losses and mass of the stage. The aerodynamic as well as mechanical constraints are considered in the problem formulation. A method of evaluating the objective function and constraints of the problem is presented in Part I of this paper. The optimization problem is solved by using the interior penalty function method in which the Davidon-Fletcher-Powell variable metric unconstrained minimization technique with cubic interpolation method of one dimensional minimization is employed. Problems involving the optimization of efficiency and/or mass of the stage have been solved numerically in Part II of the paper. The results of sensitivity analysis conducted about the optimum point have also been reported.

Copyright © 1980 by ASME
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