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基于改进哈里斯鹰算法的混联水库群防洪优化调度
Optimizing Flood Control Operation of Hybrid-connected Reservoir System Based on Improved Harris Hawks Optimization Algorithm
为提升混联水库群联合防洪能力、降低洪灾损失,协同控制水库最高运行水位与下游控制断面最大过流量,以“防洪系统综合安全度最大”为准则构建混联水库群防洪优化调度模型;提出平滑解策略,耦合差分进化思想、Levy突变策略,构建改进哈里斯鹰优化算法,通过经典多极值测试函数验证其在寻优精度与收敛稳定性方面的优越性。以湘江上游流域的涔天河、双牌、欧阳海、东江四座混联水库群为研究对象,开展联合防洪优化调度,将改进哈里斯鹰算法与传统哈里斯鹰算法优化结果进行对比。结果表明,改进哈里斯鹰优化算法在削峰率、错峰时效和水库水位控制等方面均表现更优,验证了其在水库群防洪优化调度中的优越性与工程适用性。
[Objective] This study addresses the complex challenge of optimizing flood control operations for hybrid-connected reservoir systems. It aims to develop a coordinated strategy for managing both reservoir water levels and downstream discharges to enhance joint flood control capacity and reduce flood losses. A core objective is to create an advanced optimization algorithm capable of solving the high-dimensional and constrained model efficiently. The research is ultimately validated through a real-world case study to demonstrate practical superiority over existing methods. [Methods] The research methodology integrates model formulation with algorithmic innovation. First, an optimization model is established with the objective of maximizing the comprehensive safety degree of the flood control system. To solve this complex model, a novel Improved Harris Hawks Optimization (IHHO) algorithm is proposed. The improvements include a smooth solution strategy that pre-processes discharge sequences to eliminate impractical fluctuations and guide the search; the integration of differential evolution concepts during the global exploration phase to enhance population diversity and guidance; and a dynamic Lévy mutation strategy during local development to refine search precision. The algorithm’s superior performance in optimization accuracy and convergence stability is first verified using standard multi-extremum test functions. Finally, the model and IHHO are applied to a case study of four major reservoirs (Centianhe, Shuangpai, Ouyanghai, and Dongjiang) in the upper Xiangjiang River basin, with results compared against the standard HHO algorithm. [Results] The application of IHHO to the Xiangjiang River case study yielded significantly better operational outcomes compared to the standard HHO. In terms of flood peak attenuation, the IHHO-optimized scheme achieved notably higher peak reduction rates at the critical downstream control sections. Specifically, the peak shaving rate at the Hengyang section reached 21.41%, substantially exceeding the 14.38% achieved by HHO. Effective peak timing delay was also accomplished. Regarding reservoir operation safety, IHHO successfully implemented a coordinated water level control strategy aligned with predefined priority weights. It maintained lower maximum levels for key high-weight reservoirs like Dongjiang and Centianhe, while reasonably utilizing the capacity of lower-weight reservoirs like Ouyanghai within safe limits to gain greater system-wide benefits. Furthermore, the smooth solution strategy inherent to IHHO ensured that the optimized discharge processes were stable and practically feasible, free from the abrupt fluctuations observed in the HHO results, highlighting better convergence stability and solution quality. [Conclusions] This study demonstrates the effectiveness of the proposed Improved Harris Hawks Optimization algorithm for the optimal flood control operation of hybrid-connected reservoir groups. The algorithmic enhancements—smooth solution processing, differential evolution, and dynamic Lévy mutation—collectively confer superior global search capability, local exploitation precision, and convergence stability for solving such high-dimensional, constrained problems. When applied with the “comprehensive safety degree” model, IHHO generates operation schemes that outperform traditional methods across key performance metrics: downstream flood peak reduction, peak delay, and coordinated, safe reservoir level regulation. The case study confirms the practical applicability and superiority of this integrated approach.
混联水库群 / 防洪优化调度 / 防洪系统综合安全度 / 改进哈里斯鹰算法
hybrid reservoirs / optimal operation of flood control / comprehensive safety degree of flood control systems / improved Harris hawks optimization algorithm
| [1] |
赵海莉, 张婧. 基于Citespace和Vosviewer的中国水旱灾害研究进展与热点分析[J]. 生态学报, 2020, 40(12):4219-4228.
(
|
| [2] |
樊金涛, 刘攀, 吴碧琼, 等. 三峡水库分期旱限水位研究[J]. 水力发电学报, 2025, 44(6): 62-71.
(
|
| [3] |
牛文静, 王正华, 冯志州, 等. 长江上游梯级水库群防洪库容互用方式研究[J]. 水利学报, 2025, 56(7): 874-884.
(
|
| [4] |
侯时雨, 田富强, 陆颖, 等. 澜沧江-湄公河流域水库联合调度防洪作用[J]. 水科学进展, 2021, 32(1): 68-78.
(
|
| [5] |
赵辉, 朱语欣, 刘园, 等. 三峡与清江梯级水库群协同防洪优化调度研究[J]. 长江科学院院报, 2025, 42(8): 76-83, 93.
针对复杂洪水地区组成下三峡与清江梯级水库协同防洪问题,选取三峡与清江流域的不同洪水地区组成作为调度模型输入,以上游防洪安全和下游防洪安全为目标,建立了三峡和清江梯级水库群多目标联合防洪优化调度模型,并采用NSGA-II算法进行求解。研究结果表明:1969年、1981年、1998年典型年设计洪水调度结果显示,相较三峡大洪水和清江大洪水情景,流域性大洪水情景下清江防洪库容投入时机更早;与实际调度方案相比,2020典型年的协调调度方案中,三峡调洪高水位降低了5.0 m,超额洪量减少了56.2亿m<sup>3</sup>,枝城、城陵矶的洪峰流量分别提高了2 603、1 035 m<sup>3</sup>/s,三峡水库末水位降低了4.2 m,协同调度的防洪效益显著。
(
|
| [6] |
|
| [7] |
陈森林, 张亚文, 李丹. 水库防洪优化调度的恒定出流模型及应用[J]. 水科学进展, 2021, 32(5):683-693.
(
|
| [8] |
|
| [9] |
|
| [10] |
康艳, 高轩, 李伶杰, 等. 供水水库群蓄供水次序与调度图双层优化研究[J]. 水利学报, 2022, 53(10):1240-1250.
(
|
| [11] |
孟钰婕, 刘吉贵, 王维平, 等. 基于动态规划法的调水工程闸泵切换优化调度方案[J]. 济南大学学报(自然科学版), 2024, 38(1): 87-93, 100.
(
|
| [12] |
|
| [13] |
陈佳雯, 祝欣, 汤正阳, 等. 基于RLDE算法的梯级水库发电优化调度方法[J]. 长江科学院院报, 2025, 42(6): 210-218.
梯级水库群联合运用可以充分发挥流域综合利用价值,但同时梯级水库群优化调度是不易求解复杂的系统性问题,差分进化(DE)算法是一种基于群体差异的启发式并行搜索方法,具有非常优秀的寻优能力,常被应用于水库优化调度模型的求解,但传统DE算法的参数设定及进化策略常由经验确定易出现早熟收敛或搜索停滞等现象。针对DE算法常见问题,提出了耦合强化学习与差分进化的智能算法(RLDE),该算法采用混沌映射提高初始解质量,并通过Q-learning算法实现自适应参数调整从而增加个体多样性,避免早熟收敛问题,同时由于Q-learning算法不断与环境交互反馈的机制,很大程度上降低了搜索停滞的风险。金沙江下游流域实践结果表明:RLDE算法相较于DE算法及自适应遗传算法(AGA)具有优秀的全局寻优能力及鲁棒性,能够有效求解梯级水库群发电优化调度模型,具有一定的工程实际应用价值。
(
|
| [14] |
马夏敏, 张雷克, 刘小莲, 等. 基于麻雀搜索算法的梯级泵站优化调度[J]. 水力发电学报, 2024, 43(5): 43-53.
(
|
| [15] |
吴云, 陆晓, 杨侃, 等. 基于混沌变异布谷鸟算法的水库供水优化调度[J]. 水力发电, 2019, 45(10):84-87.
(
|
| [16] |
罗德河, 李玉起, 吴树锋, 等. 基于模拟退火算法的水库优化调度图绘制[J]. 人民黄河, 2020, 42(S1): 137-138.
(
|
| [17] |
黄显峰, 王宁, 刘志佳, 等. 基于改进NSGA-Ⅱ算法的梯级水库多目标优化调度[J]. 水利水电科技进展, 2024, 44(4): 51-58.
(
|
| [18] |
|
| [19] |
张侃侃, 赵海峰, 王兆才. 基于改进人工鱼群-粒子群算法的梯级水库群多目标优化调度算法[J]. 水利水电科技进展, 2026, 46(2): 38-45.
(
|
| [20] |
黄显峰, 王浩天, 高玉琴, 等. 基于改进PSO算法的水库群防洪优化调度[J]. 水利水电技术(中英文), 2025, 56(10): 203-212.
(
|
| [21] |
王浩然, 钮新强, 徐利福, 等. 基于奇异谱分析和改进WOA-BP的大坝变形预测模型[J]. 水力发电学报, 2023, 42(11):136-145.
(
|
| [22] |
黄建文, 王明良, 王兴霞, 等. 基于E-WOA与AnyLogic耦合的土石方调配机械配置优化[J]. 水力发电学报, 2024, 43(4): 112-124.
(
|
| [23] |
This paper took the Foziling Reservoir in the Pi River Basin as an example, used an improved genetic algorithm to optimize the flood control dispatching during the flood process, and compared the results with the traditional genetic algorithm and the dispatching plan in the 2020 large-scale reservoir flood control operation plan. The results showed that, compared with the traditional genetic algorithm, the improved genetic algorithm saved the time for the model to determine the penalty coefficients and made the model application more convenient. At the same time, the design of the original scheduling scheme also has certain limitations. The scheduling results obtained by improving the genetic algorithm could occupy a small flood control capacity as much as possible under the premise of ensuring the safety of the reservoir itself and the downstream area.
|
| [24] |
夏燕, 冯仲恺, 牛文静, 等. 基于混合量子粒子群算法的梯级水电站群调度[J]. 水力发电学报, 2018, 37(11): 24-35.
(
|
| [25] |
李伟琨. 多目标进化算法研究及其在水库优化调度中的应用[D]. 杭州: 浙江工业大学, 2020.
(
|
| [26] |
In this paper, a novel population-based, nature-inspired optimization paradigm is proposed, which is called Harris Hawks Optimizer (HHO). The main inspiration of HHO is the cooperative behavior and chasing style of Harris' hawks in nature called surprise pounce. In this intelligent strategy, several hawks cooperatively pounce a prey from different directions in an attempt to surprise it. Harris hawks can reveal a variety of chasing patterns based on the dynamic nature of scenarios and escaping patterns of the prey. This work mathematically mimics such dynamic patterns and behaviors to develop an optimization algorithm. The effectiveness of the proposed HHO optimizer is checked, through a comparison with other nature-inspired techniques, on 29 benchmark problems and several real-world engineering problems. The statistical results and comparisons show that the HHO algorithm provides very promising and occasionally competitive results compared to well-established metaheuristic techniques. Source codes of HHO are publicly available at http://www.alimirjalili.com/HHO.html and http://www.evo-ml.com/2019/03/02/hho. (C) 2019 Elsevier B.V.
|
| [27] |
吴艳敏, 刘家旗, 王璐, 等. 基于改进哈里斯鹰优化算法的配电网动态重构[J]. 科学技术与工程, 2024, 24(8):3251-3259.
(
|
| [28] |
Runoff prediction is an important basis for rational allocation of basin water resources and plays a very important role in regional water resources management. In this study, a hybrid short-term runoff prediction model based on long short-term memory network (LSTM), improved Harris hawks optimization algorithm (IHHO) and optimal variational mode decomposition (OVMD) are proposed. Firstly, the original runoff data is decomposed into several sub-modes by OVMD, and then the sub-modes are reconstructed by phase space reconstruction (PSR). Secondly, the Harris hawks optimization algorithm is improved by the chaos map and the hill climbing algorithm. Then, the LSTM model is established for each sub-mode, and the improved Harris hawks optimization algorithm (IHHO) is used to optimize the number of hidden layer neurons and learning rate of the LSTM network. Finally, the results of all sub-modes are combined to obtain the finally runoff prediction result. In this study, seven control models are constructed and compared with the proposed model to verify the effectiveness of the proposed model in runoff prediction.
|
| [29] |
张雷克, 侯笑鹏, 刘小莲, 等. 基于改进哈里斯鹰算法的梯级泵站优化调度[J]. 浙江大学学报(工学版), 2023, 57(12): 2501-2512.
(
|
| [30] |
冉敏, 潘大志. 融合变异策略与邻接信息的差分进化算法[J]. 计算机应用, 2026, 46(1): 188-197.
针对多目标带时间窗的车辆路径问题(VRP),提出一种融合变异策略与邻接信息的差分进化算法(DE-MSAI)。首先,利用精英抽样策略设计4种变异操作,增加算法搜索的广度;其次,结合客户邻接信息矩阵引导个体进行邻域搜索,提升局部优化效率;最后,基于模拟退火准则以一定的概率接受劣解。在迭代过程中, 如果Pareto非支配解集连续未被改善的次数超过阈值,则启动精英碎片保护策略随机选择一个非支配解集中的解进行扰动,以维持种群的多样性。基于Solomon标准库中算例的仿真实验结果表明,所提算法相较于混合乌鸦算法(HCSA)的求解误差控制在0.07%以内;相较于基于聚类的混合大邻域搜索算法(K-means-ILNSA),所提算法在绝大多数算例中表现更优,路线偏差指标平均降低了4.51%,验证了算法的有效性。
(
Aiming at multi-objective Vehicle Routing Problem (VRP) with time windows, a Differential Evolution algorithm integrating Mutation Strategy and Adjacency Information (DE-MSAI) was proposed. Firstly, four mutation operators were designed by employing elite sampling strategy, so as to increase the algorithm search breadth. Secondly, customer adjacency information matrix was combined to guide the neighborhood search of the individuals, thereby improving local optimization efficiency. Finally, simulated annealing criterion was adopted to accept inferior solutions with certain probability. If the number of Pareto non-dominated solution set remained unimproved was beyond the threshold during optimization, elite fragment protection strategy would be activated to perturb a randomly selected solution from non-dominated solution set, thereby maintaining the population diversity. Simulation results based on Solomon standard library instances show that the proposed algorithm controls the solving error within 0.07% compared to Hybrid Crow Search Algorithm (HCSA), and outperforms K-means clustering algorithm and Improved Large Neighborhood Search Algorithm ( K-means-ILNSA) in most cases, achieving an average reduction of 4.51% in route deviation metric, verifying the effectiveness of the algorithm. |
| [31] |
陈娟, 赵嘉, 肖人彬, 等. 基于动态反向学习和莱维飞行的双搜索模式萤火虫算法[J]. 信息与控制, 2023, 52(5): 607-615.
(
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