梯级水电站群保证出力优化计算的一个直接算法

AN DIRECT ALGORITHM FOR CALCULATING THE FIRM POWER OF CASCADE HYDROPOUER STATION SYSTEM

梯级水电站群保证出力优化计算问题是一个有非线性约束的maxmin问题max{M_f(X)|X∈G={X|g_j(x)≤0,j=1,…,N,X∈R^n}),其中M_f(X)=min{f_1(X),…,f_K(X)}。本文在文[1]的基础上,提出一个求解该问题的直接算法。所给出的算法保证了迭代序列{X^((i))_(i=1)~∞的可行性,即有{X^((i))_(i=1)~∞(?)G。本文最后计算了一个梯级水电站群(包含5个水电站)的保证出力优化的实例,计算结果表明该算法是有效的。

The optimal calculation on firm power of cascade hydro-power station system is a MaxMin problem with nonlinear constraints. The purpose of this paper is to present an efficient algorithm to solve the problem directly. In the last of this paper we calculate a practical example of optimizating the firm power of a hydropower station system which contains five hydropower stations. The result shows that the algorithm is efficient.