中文摘要：

研究幂律形水力最佳断面设计与正常水深计算方法。应用微积分和极值原理，研究了幂律形断面渠道水力最佳断面的设计与计算方法，给出了幂律形断面渠道正常水深的迭代计算公式和显式近似计算公式，并证明了迭代公式的收敛性和显式计算公式的精度及应用范围。研究成果可以为渠道设计和计算提供参考依据。

英文摘要：

Based on the theory of calculus and the extremum principle ,this paper considers the optimum power-law channel design and hydraulic calculation .The iterative formula and approximate explicit solutions for the normal depth of power-law channels are presented ,and the convergence of the iterative formula is proven .Applications show that approximate explicit solution has a desired accuracy and this study serves as a useful reference for the design of channel .