不同转速离散规则的单机组变速优化影响规律研究

Study on influence laws of variable speed optimization of single unit with different speeds and discrete rules

提高程序收敛速度和最优解精度是优化算法研究的重要内容.结合南水北调东线江都站不同型号机组变频变速非线性优化模型,分析了动态规划法求解中决策变量转速在同一离散区间不同离散步长、不同离散区间同一离散步长及不同离散区间不同离散步长等不同离散规则下,对不同型号机组、不同运行负荷变速优化算法的影响规律.结果表明,不同运行负荷下采用变区间变步长的离散规则,可以在保证机组变速优化算法精度（单位提水费用相对基准方案偏差小于0.25％）的同时,显著提高程序的收敛速度（程序运算时间相对基准方案缩短70％～75％）.

Increasing program convergence speed and improving the optimal solution precision are the important content in the research of optimization algorithms.According to the nonlinear optimization model of different types of pumps with variable frequency and speed at Jiangdu pump station in the Eastern Route of South-to-North Water Diversion Project,the effects of decision variable speed on the optimization algorithms of different types of pumps and different operation load speeds were analyzed under various discrete rules,including different discrete steps in the same discrete interval,same discrete step in different discrete intervals,and different discrete steps in different discrete intervals.The results showed that the discrete rule of different discrete steps in different intervals under variable operation loads can significantly increase the program convergence speed （program running time is reduced by 70％～75％）,and ensure the accuracy of optimization algorithm with the bias of less than 0.25％.