\r杨 哲^１，杨 侃¹，吴 云²，夏 怡¹，齐伟擎¹，张天衍¹，仲晓林³

AuthorsHTML:\r杨 哲^１，杨 侃¹，吴 云²，夏 怡¹，齐伟擎¹，张天衍¹，仲晓林³

AuthorsListE:\rYang Zhe¹，Yang Kan¹，Wu Yun²，Xia Yi¹，Qi Weiqing¹，Zhang Tianyan¹，Zhong Xiaolin³

AuthorsHTMLE:\rYang Zhe¹，Yang Kan¹，Wu Yun²，Xia Yi¹，Qi Weiqing¹，Zhang Tianyan¹，Zhong Xiaolin³

Unit:\r1. 河海大学水文水资源学院，南京 210098；
2. 山西水利职业技术学院，运城 044004；

3. 扬州市勘测设计研究院有限公司，扬州 225000

Unit_EngLish:\r1. College of Hydrology and Water Resources，Hohai University，Nanjing 210098，China；
2. Shanxi Conservancy Technical College，Yuncheng 044004，China；
3. Yangzhou Survey Design Research Institute Co.，Ltd，Yangzhou 225000，China

Abstract_Chinese:\r本文将改进实数编码混合蛙跳算法(IR-SFLA)和二进制编码的(IB-SFLA)方法分别应用到水电站经济负荷分配(ELD)和机组组合(UC)问题，提出解决STHGS 问题的IBR-SFLA 方法．实数编码版本IR-SFLA 利用混沌学遍历性、随机性特征生成初始种群，采用更新的局部搜索和位置更新策略实现青蛙更新换代，并在迭代后期通过自适应青蛙激活机制重新激发青蛙搜索能力；在二进制编码IB-SFLA 中引入改良青蛙子种群分组方式，将青蛙种群分为领导蛙、追随蛙和变异蛙3 类蛙群，各类蛙群分别基于正态云模型的精英进化策略、改进的局部搜索机制和混沌理论的蛙群变异操作进行更新迭代．运行结果显示IBR-SFLA 相较对比算法，在低、中、高水头下最高缩减耗水量1.14×10⁷、1.22×10⁷、7.52×10⁶ m³，有效提升水能资源利用效率；在保证运算精度、稳定性的同时，平均运行时间最高缩减178、173 和172 s，进一步，改进策略性能分析显示，各改进策略可有效增强搜索性能，提升精度，且耗时增幅较小，在较小种群规模下便可获取较高质量的解，为解决大规模机组短期电力调度优化课题提供有效了新思路．

Abstract_English:\rShort-term hydropower generation scheduling(STHGS)in a hydropower station is a complex multidimensional，non-linear optimization problem in non-continuous space with multiple constraints. The STHGS problem can be decomposed into unit commitment(UC)and economic load distribution(ELD)sub-problems. The traditional shuffled frog leaping algorithm(SFLA)has low efficiency on solution precision and reliability. This research focuses on incorporating the improved binary and real-coded SFLA into solving STHGS. The improved real-coded SFLA(IR-SFLA)and binary-coded SFLA(IB-SFLA)are applied to ELD and UC sub-problems，respectively. The IRSFLA initializes the population with ergodicity and randomness in chaos theory and adopts renewed local search and location update strategies to realize frog evolution. In addition，the adaptive frog activation mechanism is introduced into reactive frog vitality during later iteration stage. In terms of IB-SFLA，the new frog grouping strategy tends to divide the frog population into leader，follower，and mutation frog sub-populations. Furthermore，each subpopulation
adopts the elite evolution strategy based on the normal cloud model as well as the improved local search pattern and frog mutation operation on basis of chaos theory to complete the iteration process. Overall，the final IBRSFLA is established and applied to solve the STHGS problem. Comparison of the simulation results indicates that the IBR-SFLA can dramatically reduce the water consumption during power generation，with values of 1.14×10⁷，1.22×10⁷，and 7.52×10⁶ m³，corresponding to 75，88，and 107 m water heads，and improve the utilization efficiency on hydropower resources. Moreover，with computational reliability and precision guaranteed，the maximum mean computation time reduction values are 178，173，and 172 s. Furthermore，performance analysis indicates that the strategies can effectively enhance the search performance and improve the accuracy by increasing the computation time with a small amount. The high-quality solutions can be obtained at a small population size. Thus，the IBR-SFLA is verified to provide new basis to solve the STHGS problem in large hydropower stations.

Keyword_Chinese:水电站机组短期发电调度(STHGS)；自适应青蛙激活机制；改良子种群分组方式；云模型精英进化策略；混沌蛙群变异

Keywords_English:short-term hydro generation scheduling(STHGS)in hydropower station；heuristic frog activation mechanism；improved sub-populations grouping strategies；elite evolution based on normal cloud model；frog mutation based on chaotic search


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