变尺度混沌优化算法在梯级水电站水库优化调度中的应用

利用变尺度混沌优化算法(Mutative Scale Chaos Optimization Algorithm,MSCOA)对梯级水电站水库调度问题进行优化调度。主要思想是利用混沌运动的随机性,由Logistic方程随机生成混沌序列;将其载波到包含水电站目标函数可行域S的一个区域;利用随机性、遍历性和规律性,不断缩小优化变量的搜索空间和提高搜索精度进行全局寻优,从中搜索属于可行域S的解;同时在搜索中引入解向量优选,将解向量中那些接近全局最优解的分量找出,构成一个新的向量,代入目标函数中进行计算,从而找出全局最优解,最终求出水电站水库发电调度的最优调度线。实例计算结果表明,算法可以求解具有复杂约束条件的非线性梯级水电站水库优化调度问题。算法求解精度高,具有较大的实用价值,为求解梯级水电站水库优化调度问题提供了一种有效算法。

Application of chaos optimization algorithm of mutating scale on reservoir optimal operation of cascade hydropower stations

Chaos optimization algorithm(MSCOA) of mutative scale is used to solve the long term optimal reservoir operation of cascade hydropower stations.The main principle is to use the randomness of chaos movement.First random chaos series are produced by logistic mapping and career random series for feasible field S which includes the objective function of hydropower station according to properties of randomness,ergodicity and regularity,contracts the search space of optimal variable,enhances the precision continuously,searches the optimal solution in global space,and the solution is obtained in the feasible field.Then by comparison,iteration and secondary career wave,the optimal scheduling graph of reservoir optimal operation of cascade hydropower stations is obtained.The result of calculation shows that MSCOA can solve nonlinear optimal reservoir operation problem of cascade hydropower stations which has complex constrain conditions This algorithm not only makes the solution more accurate,converges faster,but also is an effective way to solve the problem of optimal reservoir operation of cascade hydropower stations.