Optimization of a radial-axial turbine at the stage of center line of fluid flow calculation

Introduction (problem statement and relevance). There is some significant potential for radialaxial turbine efficiency increase at the initial design stage, namely the center line of fluid flow calculation, due to the fact that the impeller machine appearance is formed and its main shape and dimensions are determined at this stage. Traditional approaches to optimization of a radial-axial turbine at the stage of center line of fluid flow calculation assume introduction of auxiliary variables or simplification of the initial system of equations. The purpose of the study is to develop a numerical algorithm for searching optimal parameters of a radial-axial turbine at the stage of center line of fluid flow calculation using numerical optimization methods; comparison of the results obtained using the numerical algorithm with the results of optimization performed on the basis of traditional approaches. Methodology and research methods. Formalization of radial-axial turbine center line of fluid flow calculation in the form of a nonlinear programming problem. Solving the nonlinear programming problem using numerical optimization methods. Scientific novelty and results . Constrained nonlinear optimization of parameters of a radial-axial turbine at the stage of center line of fluid flow calculation and its subsequent software implementation. Practical significance . Improving accuracy and reducing time of search for the optimal solution at the stage of radial-axial turbine center line of fluid flow calculation.