Abstract：A nonlinear evaluating function dealing with wicketgate closing rate optimization was presented, and the multioperation point optimization method is proposed based on genetic algorithm. The wicketgate closing rate of a real hydropower station was optimized by utilizing the proposed function and optimization model and the results were compared with those optimized by means of the existing linear evaluating function. For the optimized closing rate by using the linear evaluation function, the maximum speed rise is 49.4%, which is near the control value (50%), and the safe margin is 0.6% only; but the safe margins of both the maximum pressure at the end of spiral casing and the minimum pressure at the inlet of draft tube are 4.717 and 2.812 m, which are relatively high. For the closing rate optimized with the proposed nonlinear evaluation function, however, although the safe margins of both the maximum pressure at the end of spiral casing and the minimum one at the inlet of draft tube drop to 2.501 and 1.765 m, the maximum speed rise is 46.1% and the safe margin rises to 3.9%. The simulated results show that the optimized wicketgate closing rate with the just proposed nonlinear evaluating function can keep safety margin in a proper range for every optimization objective. Multioperation point optimization method is proven to be accurate and the optimized closing rate is universal to different hydrotransient cases. Such a method plus the proposed nonlinear evaluating function can achieve a relatively equalized distribution of safety margin for every optimization objective in different cases.
［1］陈乃祥. 水利水电工程的水力瞬变仿真与控制［M］. 北京: 中国水利水电出版社,2004.［2］王丹, 杨建东. 导叶关闭规律及初始开度对蜗壳动水压力的影响［J］. 水电能源科学, 2005,23(4):73-75.Wang Dan, Yang Jiandong. Influence of wicket gate closure law of water turbine and initial wicket gate opening on maximum dynamic pressure in spiral case［J］. Hydroelectric Energy, 2005,23(4):73-75.(in Chinese)［3］陈丹, 杨建东. 导叶关闭规律和尾水调压室对尾水管真空度的影响［J］. 水电能源科学, 2004,22(2):45-48.Chen Dan, Yang Jiandong. Effect on vacuum in draft tube of hydro turbine［J］. Hydroelectric Energy, 2004,22(2):45-48. (in Chinese)［4］刘立志, 樊红刚, 陈乃祥. 抽水蓄能电站导叶关闭规律的优化［J］. 清华大学学报:自然科学版,2006,46(11):1892-1895.Liu Lizhi, Fan Honggang, Chen Naixiang. Optimization of distributor closing law in pumped storage stations［J］. Journal of Tsinghua University:Science and Technology, 2006,46(11):1892-1895. (in Chinese)［5］王煜, 田斌. 水轮机导叶适时关闭规律初探［J］. 湖北水力发电, 2006(4):73-74.Wang Yu, Tian Bin. Preliminary study on realtime closing law of guide vane of hydroturbine［J］. Hubei Water Power, 2006(4):73-74.(in Chinese)［6］高志芹, 吴余生, 杨建东. 基于进化策略的水电站水力过渡过程优化方法研究［J］. 水力发电学报, 2008,27(1):139-144.Gao Zhiqin, Wu Yusheng, Yang Jiandong. Study on optimization method of transient process in hydropower station based on evolution strategy［J］. Journal of Hydroelectric Engineering, 2008,27(1):139-144.(in Chinese)［7］高志芹, 吴余生. 基于自适应遗传算法的水轮机导叶关闭规律优化计算［J］. 大电机技术, 2007(5): 32-36.Gao Zhiqin, Wu Yusheng. Optimizing the closure rule of wicket in hydraulic turbine based on adaptive genetic algorithm［J］. Large Electric Machine and Hydraulic Turbine, 2007(5): 32-36.(in Chinese)［8］舒胜晖, 樊红刚, 张保平, 等. 遗传算法在抽水蓄能机组导叶关闭规律优化中的应用［J］. 清华大学学报：自然科学版, 2000,40(11):35-38.Shu Shenghui, Fan Honggang, Zhang Baoping,et al. Application of genetic algorithm to the optimization of the closing of gates in pumped storage power stations［J］. Journal of Tsinghua University:Science and Technology, 2000,40(11): 35-38.(in Chinese)［9］Wang Long, Wang Tongguang, Luo Yuan. Improved nondominated sorting genetic algorithm (NSGA)-II in multiobjective optimization studies of wind turbine blades［J］. Applied Mathematics and Mechanics: English Edition, 2011,32(6): 739-748.［10］ Wang Binggang. Sequencing mixedmodel production systems by modified multiobjective genetic algorithms［J］. Chinese Journal of Mechanical Engineering: English Edition, 2010,23(5):537-546.
