基于梯级水库群中各水库的常规调度图，建立了以梯级水库群多年平均发电量最大为目标的梯级水库群调度图优化数学模型，提出了基于多重迭代实现高维模型降维的求解算法，即以轮库迭代法实现空间多水库降维，以轮线迭代法实现单一水库多调度线降维，以逐次优化算法实现调度线状态降维。万安溪白沙梯级水库群的算例计算结果表明，该优化方法能获得形态合理的优化调度图，并能有效提高水库群发电量。%Based on the normal operation charts of cascade reservoirs, we proposed a mathematical model of optimal operation chart aiming to reach at the maximum value of annual average electricity generation. In this regard, we suggested a solving algorithm to reduce dimensionalities based on multiple iterations as follow: reduce spatial multi-reservoir dimensionality by iteration in reservoir turns;reduce multi-curve dimensionality by iteration in rule curve turns;and reduce multi-state dimensionality of rule curve with progressive optimality algorithm. Overall, results based on experiments considering Wananxi-Baisha cascade reservoirs as a case studies show that this optimum method provides optimal operation charts of cascade reservoirs in rational form as well as significant increases in electricity generation of the reservoir group while compared with traditional method.
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