Skip to Main Content
A new inverse design method of reversible pump is proposed. Partial differential equation is used to generate the blade three dimensional model, and the inverse design of impeller is transformed into the boundary-value problem on meridian plan. A new distribution function is proposed to specify the boundary condition of the boundary-value problem. In the present work, the partial differential equation is also used to discretize the meridian plan. Solve the boundary-value problem, and we can get the three dimensional model of impeller. The parametric design of impeller is achieved. The three dimensional interior flow of the reversible work in pumps and turbines condition are calculated to compute the characteristic performance curves. The performance curves are analyzed to get the hydraulic parameters relations between pumps and turbines condition. Finally, according to these relations we find the optimum design of the PAT using trial-and-error step size along the gradient direction.