淮阴三站变频变速优化运行的分解-动态规划聚合法

Optimization on variable speed operation with VFD for No.3 Huaiyin pumping station based on decomposition-dynamic programming aggregation method

以泵站多机组变频变速运行日耗电费用最小为目标,构造泵站多机组变频变速日优化运行数学模型。考虑变频装置效率随机组转速变化情况,采用大系统分解-动态规划聚合方法求解。先以泵站日提水耗电费用最小为目标,机组提水量为协调变量,将该模型分解为若干个单机组变频变速日优化运行子模型;再以各机组提水量为决策变量,泵站提水量的离散值为状态变量,构造聚合模型,二者均采用动态规划方法求解。该方法对求解不同型号泵机组或各机组同型号但性能存在差异的泵站变频变速最优化运行问题同样适用。以南水北调东线第三梯级泵站淮阴三站运行为例,获得了一系列优化成果。

The mathematical model of optimal daily operation with variable speed for multiple pump units in single pumping station was constructed by taking the minimal daily electric cost as objective function.Considering the efficiency of variable frequency drive（VFD） varied with the unit rotational speed,the decomposition-dynamic programming aggregation method was applied to solve the model above.Taking minimal daily electric cost as objective function,the water quantity pumped by units as coordinated variable,this model was decomposed into several sub-models of daily optimal operation with variable speed for single pump unit.The constructed aggregation model took water quantity pumped by each pump unit as decision variable,the discrete values of water quantity pumped by pumping station as state variable.Both sub-model and aggregation model were solved by means of dynamic programming method.The decomposition-dynamic programming aggregation method could solve the optimal variable speed operation issues for multiple pump units with different types or the units of the same type with performance differences in single pumping station.Through the study on the operation of No.3 Huaiyin Pumping Station which is the third stage pumping station of South-to-North Water Diversion Project in China,a series of optimization results were obtained.