Abstract: By a lumped parameters analysis，it is found that the solution determination condition of the in. verse method can be expressed by function between outlet flow angle and total tangential force，and in most case there are two physical solutions. The converged solution is determined by the consistence of the transpirationboundary condition and the solution determination condition. A technique is developed to force the solution con.verged to a desired solution. The developed Q3D design system is validated by a transonic compressor cascades case，and a 1.4% efficiency gain is obtained，which demonstrate the power of the inverse method to control the axi. al distribution of the pressure loading.

Key words: Turbomachinery；Aerodynamic design；Inverse method；Total tangential force；Transpirationboundary condition

摘要： 通过集总参数分析，发现确定了反方法的定解条件——总切向力与出口气流角的关系。进而表明在多数情况下，反方法有两个物理解存在，而最终收敛到哪个解由渗透边界条件与定解条件的相容性决定。为了保证基于渗透边界条件的反方法收敛到期望解，文中基于质量流量强加的概念提出了一种处理措施，并通过例子验证了该措施的有效性。最后利用所发展的准三维反方法对跨声速压气机叶栅进行改型设计，效率增加了1.4%，展现了反方法在控制轴向载荷分布方面的优越性。

关键词: 叶轮机械；气动设计；反方法；总切向力；渗透边界条件