Design optimization of axial flow hydraulic turbine runner: Part II—multi‐objective constrained optimization method

Abstract

SUMMARYThis paper is concerned with the design optimization of axial ow hydraulic turbine runner blade geometry. In order to obtain a better design plan with good performance, a new comprehensive performance optimization procedure has been presented by combining a multi-variable multi-objective constrained optimization model with a Q3D inverse computation and a performance prediction procedure. With careful analysis of the inverse design of axial hydraulic turbine runner, the total hydraulic loss and the cavitation coe cient are taken as optimization objectives and a comprehensive objective function is deÿned using the weight factors. Parameters of a newly proposed blade bound circulation distribution function and parameters describing positions of blade leading and training edges in the meridional ow passage are taken as optimization variables.The optimization procedure has been applied to the design optimization of a Kaplan runner with speciÿc speed of 440 mkW. Numerical results show that the performance of designed runner is successfully improved through optimization computation. The optimization model is found to be validated and it has the feature of good convergence. With the multi-objective optimization model, it is possible to control the performance of designed runner by adjusting the value of weight factors deÿning the comprehensive objective function.

Effect of Intake Vortex Occurrence on the Performance of an Axial Hydraulic Turbine in Sihwa-Lake Tidal Power Plant, Korea

“…[11] experimentally investigated the relationship between the sluice caisson shape of a tidal power plant and the water discharge capability. Peng et al [12] used the multi-objective constrained optimization method to minimize the total hydraulic loss and the cavitation coefficient of a runner blade in an axial hydraulic turbine.…”

Inverse-design and optimization methods for centrifugal pump impellers

“…This hybrid approach is labeled inverse-optimization. Such inverse-optimizations have also been carried out by Peng et al [51].…”

“…Since the 1950s, several two-dimensional and later quasi three-dimensional inverse-design methods have been developed. In fact, quasi three-dimensional methods are still being used for example by Peng et al [51], [52].…”

“…A hybrid method, considering the optimization of an inverse-design method has been presented by Peng et al [51]. In their research the mean-swirl distribution is parameterized and both efficiency and cavitation objectives are considered in the cost function.…”

“…Peng et al [50,51,52] developed a quasi 3D inverse-design method by circumferential averaging. They employed a stream function for the inviscid flow analysis and used a prescribed mean-swirl distribution as loading function.…”