本文研究并发展了一种径流式透平叶轮的一元无量纲设计和优化方法。其中无量纲设计采用Whitfield方法，叶轮的效率及性能应用经验损失模型预测，在此基础上采用可变容差法以叶轮效率作为目标函数对一元设计参数进行优化。结果表明；这种方法简便实用，能够获得高效的一元设计，从而可为进一步的准三元／全三元设计提供可靠的设计方案。 This paper studies and develops a unidimensional dimensionless design and optimization method for a radial turbine impeller. In the dimensionless design, the Whitfield method was used to predict the efficiency and performance of the impeller. The variable tolerance method was used to optimize the unary design parameters with the impeller efficiency as the objective function. The results show that this method is simple and practical and can obtain a highly efficient unary design, which can provide a reliable design for further quasi-ternary / all-ternary design.