摘要
水库调洪计算的基本原理就是水量平衡方程，由于水库水位和水库下泄流量之间具有函数关系，因此求解水量平衡方程必须进行试算，必须预先确定迭代初值和选代区间．如果送代初值和选代区间选取不当，计算收敛速度就很慢甚至发散，难以满足水库管理调度的要求．针对上述问题，本文提出了水库调洪计算的牛顿选代法，该方法的特点是无需计算者预先确定选代初值和迭代区间，并具有很高的计算精度和计算效率．本文还对水库调洪计算的牛顿选代法的收敛性进行了理论分析．
Flood routing through reservoir is one of the most important job for reservoir's ef-fective operation. Its basic theory is the equation of equilibrium of watter quantity. Because of thefunctional relation between the reservoir's level and it is releasing quantity of current, it must beiterated in order to solve this equation, and the calculator has to define the iteration, initial valueand the iteration scope. If the iteration initial value and the iteration scope are invalid, the itera-tion speed is very slow and even oscillates. This can't satisfy the demands of the reservoir's man-agement and operation. In order to solve the above problems, this paper puts forward the Newtoniteration method of flood routing through reservoir. The features of this method are that the cal-culator need't define the iteration initial value and the iteration scope firstly, and that this methodhas high calculation currency and efficiency. This paper also proves the convergence quality of thismethod.
出处
《水利水电技术》
CSCD
北大核心
1994年第7期2-5,共4页
Water Resources and Hydropower Engineering
关键词
水库
洪水
调度
牛顿迭代法
flood routing through reservoir, fixed point iseration method, Newton iteration method
