摘要
为完整利用水库群多目标优化调度的非劣前沿信息,提出了一种优化调度函数参数、追求调度结果逼近非劣前沿的新型调度函数提取方法。对于水库群多目标优化调度模型,采用非支配排序多目标优化算法Ⅱ(NSGA-Ⅱ)求解,分别获取丰、平、枯典型年的非劣前沿集,将其作为代理模型的训练样本,实现二维非劣前沿的函数表达。采用多元线性构型构建调度函数,以调度结果逼近非劣前沿为目标,优化调度函数的参数项。该方法避免了多目标优化调度函数提取因决策破坏非劣前沿完整性,追求调度结果即为非劣解,在溪洛渡-向家坝水库群得到了验证,成功提取了针对非汛期发电、生态两目标的丰、平、枯典型年调度函数,并在相似来水年份下验证了结果的合理性。
To fully utilize the Pareto frontiers’information of multi-objective optimization of cascade reservoir,we present a new method for extracting operation rules through optimizing their parameters to approximate successively the operation results toward Pareto frontiers.We develop a multi-objective optimal operation model,solve it using the nondominated sorting genetic algorithmⅡ(NSGA-Ⅱ),and then obtain the sets of Pareto frontiers for three typical years of wet,normal and low flows.These Pareto frontiers are used as the training samples of a surrogate model to realize a function expression of two-dimensional Pareto frontiers.We construct the basic form of the operation rules using multiple linear configurations,and optimize their parameters used for the typical years through successive approximation to Pareto frontiers.This method avoids destroying the integrity of Pareto frontiers in extraction of multi-objective optimization operation rules due to decision-making,and seek the approximated Pareto solution as the optimized results.It is verified in the case study of the Xiluodu-Xiangjiaba cascade reservoirs.We have extracted successfully the typical years’operation rules for the two goals of power generation and ecology in non-flood season,and verified the rules under similar conditions.
作者
钟加星
董增川
姚弘祎
倪效宽
陈牧风
贾文豪
叶海焯
ZHONG Jiaxing;DONG Zengchuan;YAO Hongyi;NI Xiaokuan;CHEN Mufeng;JIA Wenhao;YE Haichao(College of Hydrology and Water Resources,Hohai University,Nanjing 210098;Shanghai Hydraulic Engineering Group Co.Ltd,Shanghai 201612)
出处
《水力发电学报》
CSCD
北大核心
2021年第9期46-54,共9页
Journal of Hydroelectric Engineering
基金
国家重点研发计划(2016YFC0402209)。
关键词
梯级水库调度
多目标优化
调度函数
代理模型
非劣前沿
cascade reservoir operation
multi-objective optimization
operation rules
surrogate model
Pareto frontier
作者简介
钟加星(1997-),男,硕士生.E-mail:zhong.jx@hhu.edu.cn;通信作者:董增川(1963-),男,教授.E-mail:zcdong@hhu.edu.cn。
