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用计及叶厚、有限叶片数影响及来流有旋的全三维设计理论及最优化技术中的单纯型法寻优，用ＳＷＩＦＴ法将反映包角、叶片流速及流动分离等约束的等式和不等式约束条件计入目标函数，以Ｖθｒ的分布为优化参数进行混流式水轮机转轮最优化设计的初步尝试。给出了理论、方法及算例，其中包括分别按汽蚀性能优化和按损失最小优化及多目标优化的结果。其中损失计入叶片正、背面及上冠下环的沿程损失和叶片进口撞击损失、出口扩散损失。
Using the simplex method which takes into account the thickness of the blade, the influence of the finite number of blades and the spinning three-dimensional design theory, and the optimization method, the SWIFT method is used to solve the equations that reflect the constraint of the wrap angle, the flow velocity of the blade and the flow separation And inequality constraints into the objective function, the distribution of Vθr is taken as the optimal parameter to optimize the design of Francis turbine. The theory, methods and examples are given, including the results of optimization by cavitation and optimization by minimization and multi-objective optimization respectively. Among them, the loss is calculated as the loss along the way of the front and back of the blade and under the crown, the impact loss of the blade inlet and the export diffusion loss.