水泵水轮机转轮特性描述新方法及其工程应用

New method on pumpturbine characteristic description and its engineering applications

针对抽水蓄能电站仿真中Ｓｕｔｅｒ法描述水泵水轮机转轮特性时的小开度问题和多值问题，提出了一种以ｘ＝ａ１／ｅｖ１为横坐标来描述水泵水轮机特性的方法——对数曲线投影法。该方法不仅解决了导叶零开度、小开度转轮特性描述问题和转轮特性描述的多值问题，而且对压力平衡方程的满足是显式的，使寻找工况点常用的多变量求极值变为只针对ｘ的单变量求极值，便于求解，并具有较高精度。新方法在大开度区的计算结果与Ｓｕｔｅｒ法基本一致，而在零开度附近没有异常的压力脉动。新方法适应现代流体工程动态仿真的需要。

Aiming at the small opening problem and multi valued problem of Suter method to discribe the pumpturbine characteristics in simulating pumped storage power station, this article raises a new method which is called Logarithmic Curve Projection method to describe the pumpturbine characteristics by using x=α 1/ e v 1 as the abscissa. It not only solves the problem of the characteristic description under zero and small wicket gate opening and the multi valued problem, but also is an explicit form to satisfy head balance equation. That can make the multi variables extremum computation, which is often used in seeking for operating point, replaced by single variable x computation and can get a more accurate result. In the zone of large opening the results of the new method accord with those of Suter method on the whole, but when the opening is pending to zero, no abnormal waves occur in the results of the new method. The new method satisfies the need of the transient simulation of modern fluid engineering.