水库调洪计算方法的应用研究

发布时间：2018-09-01 15:46

【摘要】：基于调洪计算的传统方法如试算法、单辅助线法和数值解法如改进欧拉法、四阶龙格-库塔法,分析了不同算法的结果差异和影响因素,并对调洪时段的选取进行了研究。结果表明:1直接求解一阶微分方程的数值解法的优点是无需迭代,可快速得到计算结果,通过迭代试算或反复内插辅助线求解非线性超越方程的计算速度较慢,调洪时段缩短时会出现不稳定、不收敛的情况,同时存在直接内插库容曲线的误差,不推荐采用;2调洪时段较长时,试算法计算的水位偏高,会增大工程投资,调洪时段较小时传统方法结果偏小,对工程安全不利,数值解法随调洪时段缩短精度有所提高,计算水位值增大,有利于工程安全,宜广泛采用;3调洪时段的选取要以能控制入库洪峰流量为前提,时段步长越短,精度越高,精度一定时,四阶龙格-库塔法时段选取的范围较广,对工程的适应性较好。
[Abstract]:Based on the traditional methods such as trial algorithm, single auxiliary line method and numerical method such as improved Euler method and fourth order Runge-Kutta method, the difference of the results of different algorithms and the influencing factors are analyzed, and the selection of flood diversion period is studied. The results show that the advantage of the numerical solution of the first order differential equation is that the result can be obtained quickly without iteration, and the calculation speed of solving the nonlinear transcendental equation by iterative trial calculation or repeated interpolation auxiliary line is slow. When the flood dispatching period is shortened, there will be instability and unconvergence. At the same time, there is the error of directly interpolating the reservoir capacity curve. It is not recommended that the water level calculated by the trial algorithm is higher when the flood diversion period is longer, which will increase the project investment. The result of the traditional method is small when the flood period is small, which is disadvantageous to the safety of the project. The accuracy of the numerical method is improved with the shortening of the flood dispatching period, and the value of calculating water level is increased, which is beneficial to the safety of the project. The selection of flood diversion period should be based on the condition that Hong Feng flow can be controlled. The shorter the step length, the higher the accuracy. When the precision is fixed, the selection range of the fourth order Runge-Kutta method is wider and the adaptability to the project is better.
【作者单位】：陕西省水利电力勘测设计研究院;
【基金】：水利部公益性行业科研专项(201301084)
【分类号】：TV697.13

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