基于分形与混沌理论的嵌套搜索算法在 梯级水电厂节能调度运行中的应用

针对梯级水电厂联合优化调度的高非线性、强约束特性,提出了基于分形与混沌理论的嵌套搜索算法.该方法利用嵌套结构,有机地结合了分形分割逼近算法的高遍历性、普适性和混沌优化算法的随机性、规律性、遍历性等特性.通过在节能调度方式下南桠河梯级水库联合优化运行中的成功应用,显示该算法具有参数配置简单、普适性强、稳定性高、全局优化和易于编程等特点,并取得了与POA算法一致的收敛精度且计算速度有优势.

Application of Energy Saving Dispatch of Cascade Hydropower Plants by Using Nested Searching Algorithm Based on Fractal and Chaos Theory

Aiming at the problem that optimal dispatch of cascade hydropower plants has the characteristics of highly nonlinear and complicated constrain conditions, this paper presents nested searching algorithm based on fractal and chaos theory. This algorithm uses nested structure to combine the properties of ergodicity, universality, random and regularity of fractal division interpolation algorithm and chaotic optimization algorithm. The results of a practical example prove its validity and practicability when applied in energy saving dispatch of Nanyahe cascade hydropower plants. Furthermore, the results show that the nested algorithm not only has many advantages such as strong ergodicity, simplified parameter configuration, high stability, global optimization, and easy to program, but also can get consistent convergence accuracy and lesser computing time compared with POA algorithm.