Joint optimization of power plant cycle parameters and gas turbine flow path parameters with blade airfoils represented by cubic splines

Optimization of a 250 MW gas turbine unit is used to illustrate the methodological approach. The optimization criterion is to maximize power plant energy efficiency. Pressure sides and suction sides of the base airfoils are represented by a spline defined by 70 cubic polynomials. The parameter optimization problem of gas turbine unit cycle and gas turbine flow path includes 121 independent optimized parameters and 184 inequality constraints. The optimization results can be used in the preliminary design of power plants. In this case the obtained airfoils can serve as a good initial approximation for 3D optimization. The research demonstrates that the optimal temperature at gas turbine inlet is determined by the blade alloy characteristics, a cooling method and a shape of airfoils. This confirms the validity of the joint optimization of gas turbine and flow path parameters.