The problem of stage design of axial flow gas turbines has been formulated as a nonlinearmathematical programming problem with the objective ofminimizing aerodynamic lossesand mass of the stage. The aerodynamic as well as mechanical constraints are consideredin the problem formulation. A methodof evaluating the objective function and constraintsof the problem is presented in Part I of this paper. The optimization problem issolved by using the interior penalty function method in which the Davidon-Fletcher-Powellvariable metric unconstrained minimization technique with cubic interpolation methodof one-dimensional minimization is employed. Problems involving the optimizationof efficiency and/or mass of the stage have been solved numerically in Part II of the paper.The results of a sensitivity analysis conducted about the optimum point have also been reported.
ASJC Scopus subject areas
- Nuclear Energy and Engineering
- Fuel Technology
- Aerospace Engineering
- Energy Engineering and Power Technology
- Mechanical Engineering