中文摘要：

针对当前供水系统节能降耗的需求,根据供水系统运行特点,利用合理划分调度期的方式,建立了以节能为目标的优化调度模型;采用差分进化算法对模型进行求解,应用实数编码将决策变量表示为进化种群中的个体;运用罚函数法对约束条件进行转换,并使用加法和乘法的形式进行组合,构建了适应度函数;采用标准差分策略进行变异操作;以天津市中心城区供水系统为例,验证了模型与差分进化算法的有效性,并与遗传算法进行了对比,显示出前者在求解该模型上具有一定的优势。

英文摘要：

Aiming at the demand on energy-saving and cost-reducing of the water distribution system and according to the system ~s operational feature, this article divided scheduling term reasonably to establish the optimal scheduling model for purpose of energy saving. We used differential evolution algorithm to solve this model and applied real-number encoding to represent the individuals in evolution population as decision variables. For building fitness function, the penalty function method was used to transform constraint conditions, and then the constraint conditions would be combined with the method of addition and multiplicative. The standard differential strategy was used to mutation operation. Finally, the case analysis of water system in central city of Tianjin verified the effectiveness of this model and differential evolution algorithm. And the result of comparing with the genetic algorithm showed that the former has certain advantages in solving the model.