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 pro gr am co nv erg ence speed and impro ving the o pt imal solution precisio n are the impor tant content in the research of optim izat ion alg or ithms. According to the nonlinear o pt imization model of differ ent ty pes o f pum ps w ith var iable f re2 quency and speed at Jiangdu pump stat ion in the Easter n Route of South2to2Nor th Water Diver sion Project, the effects of deci2 sio n variable speed on the optimizatio n algo rit hms of different types o f pumps and different o per ation lo ad speeds w ere ana lyzed under var ious discr ete rules, including differ ent discr et e steps in the same discrete inter val, same discrete st ep in different dis2 cr et e int er vals, and different discrete steps in differ ent discr ete interv als. The r esult s showed that t he discr et e rule of differ ent discr et e steps in dif fer ent intervals under v ariable operation lo ads can sig nificantly increase the pr ogram conver gence speed ( pro2 g ram running time is reduced by 70%~ 75%) , and ensure the accur acy of optimization alg orithm with the bias of less than 01 25%.

江苏省属高校自然科学研究面上资助项目( 11KJB570002) ; / 十一五0 国家科技支撑计划重点项目( 2006BAB04A03) ; 扬州大学 / 新世纪人才工程0 科研经费资助项目