离心泵机组并联调速优化运行的数值解法

通过对离心式水泵高效工作区的性能曲线进行二次拟合,分析了离心式水泵机组并联调速运行特性.以泵机组功率最小为目标函数,以系统流量为约束条件,提出了一种符合水泵并联调速运行特性的最小功耗优化数学模型,将不同转速泵并联调速的最优控制问题转化为求解多元函数条件极值问题.采用拉格朗日乘数法和非线性方程组的Newton迭代法求解该模型,给出了并联调速机组优化运行时工况点的计算方法.试验结果证实了该模型的有效性和可行性.

Numerical optimization on parallel-connection variable-speed operation of centrifugal pump groups

The parallel-connection and variable-speed operation characters of the centrifugal pump groups are studied by conics fitting of the character curves in the high efficiency area. By simplifying the restrictions of pipeline, the optimization control model for the parallel-connection and variable-speed operation is given. The objective function of the model is minimum sum of all the pump power; the constrained condition is pump group system flow fate. The essence of the mathematical model is about extreme values for several variables function. The Lagrangian multiplier and Newton iteration methods for nonlinear equation group are used to solve the formulated model. The relevant calculation method of the optimization condition is given. The simulation result shows the validity of the new optimization strategy.