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基于混合黑翅鸢算法的大型泵站机组启停约束下优化调度

Optimization dispatch of large pumping station units under start-stop constraints based on hybrid black-winged kite algorithm

  • 摘要: 针对多数调泵站因缺乏科学运行方案导致的水能资源浪费、运行成本高的问题,该研究以引黄济青工程打渔张泵站为对象,开展降低运行电费、提升运行经济性的优化研究。在保证安全运行的前提下,考虑分时电价机制,构建了以日运行电费最小为目标的泵站系统优化调度模型,并严格约束机组启停、流量、叶片角度及开机台数,确定最优开机台数及各时段叶片角度。提出了混合黑翅鸢算法(hybrid black-winged kite algorithm,HBKA),并用经典算例测试验证了其优异的寻优能力、稳定性和收敛速度。在5.0 m运行扬程下,抽水总量约束-机组连续运行方案通过优化叶片角度实现了抽水量在不同电价时段的合理分配。该方案较抽水流量约束方案和现场实际运行方案可分别节省电费2.50%~5.15%和7.58%~21.14%,其中尖峰时段电费降低13.01%,经济效益显著。敏感性分析表明,扬程变化±10%导致电费波动−8.11%~+14.33%,模型均能保持可行性。研究成果对大型泵站机组设计选型与运行管理具有重要的理论意义和应用价值。

     

    Abstract: Most large pumping stations have suffered from substantial water and energy resource wastage with high operational costs, due mainly to the absence of scientific operation strategies. This study aims to reduce the cost of secure and reliable operations in large pumping stations. A case study was employed at the Dayuzhang Pumping Station within the Yellow River-to-Qingdao Water Diversion Project. An optimal model was formulated to minimize the total cost of daily electricity. A systematic investigation was implemented to reduce the energy consumption of primary pump units, auxiliary equipment, and substation facilities under a time-of-use (TOU) electricity pricing mechanism. Safety and reliability were realized to constrain the unit start-stop operations within short-duration cycles. While the critical hydraulic and engineering constraints were simultaneously incorporated, including flow rate, adjustable blade angles, and the permissible number of operating units. A mathematical model was constructed to determine the optimal unit commitment and blade angles for each period. An enhanced Hybrid Black-winged Kite Algorithm (HBKA) was proposed to simulate the annealing mechanism using Black Kite Algorithm (BKA). The feasible global optima were then obtained after optimization. According to parameter sensitivity tests, the population sizes and maximum iterations were configured as 300 and 200, respectively. Benchmark tests against a classic optimization model confirmed that the superior efficacy of HBKA was achieved with a 23.2% reduction in relative standard deviation and a 28% decrease in computational time, compared with the Hybrid Particle Swarm Optimization (HPSO) algorithm. A strong suitability was found for this class of nonlinear and constrained pump station. A case study from the target pumping station revealed that the blade angles were adjusted to optimally allocate the pumping volume under an operating head of 5.0 m in the different TOU price periods. The continuous units were used under total pumping volume constraints. There was an inverse correlation between the optimal blade angle and the prevailing electricity price after optimization: A smaller blade angle reduced the hourly averaged pumping volume, as the TOU price escalated. The blade angle reached its operational lower bound to stabilize at the minimum; Consequently, the hourly averaged electricity cost increased linearly with the tariff, directly taking the electricity price as the dominant factor in the operational cost function. Comparative analysis revealed that one of the alternative unit commitment was taken as the lowest theoretical electricity cost, which was required for approximately 10 start-stop cycles daily, leading to significant mechanical stress and long-term reliability. In contrast, the daily electricity costs were reduced by 2.50% to 5.15%, and 7.58% to 21.14%, compared with the constant flow constraints and the on-site actual operation, respectively. Crucially, the 13.01% cost was significantly reduced during on-peak hours, while the start-stop cycles were reduced to prioritize the operational safety and equipment longevity. Sensitivity analysis further revealed that there was the ±10% variation in the operating head, leading to an electricity cost from -8.11% to +14.33%. Yet the optimization model maintained feasibility over this range, indicating its practical robustness against parameter fluctuations. This finding can provide a theoretical and practical contribution to the optimal design, unit selection, and advanced operation of large-scale pumping stations. The HBKA optimization can offer a viable pathway towards a sustainable water-energy nexus in critical water infrastructure. Future work can tackle operational uncertainties in head, electricity price, and equipment efficiency. Robust optimization was integrated to enhance disturbance-resistant dispatch. Hydraulic model experiments were then validated to predict the real-time command adjustment and system integration.

     

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