基于微分对策理论的多沙河流水库调度
Application of differential game theory to reservoir operations on sediment-laden rivers
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摘要: 水库的排沙问题一直是多沙河流水库调度研究的重点之一。由于大部分多沙河流的来水来沙主要集中于汛期,因此水库汛期的蓄水兴利与泄水排沙的矛盾十分突出,具有典型的博弈关系,该关系可以利用博弈的相关理论进行描述。基于微分对策理论,将多沙河流水库汛期的供水兴利与泄水排沙看作博弈的双方,建立起以排沙和供水的综合效益作为性能指标函数的多沙河流水库汛期调度模型,研究了多沙河流水库汛期的调度问题,并通过陕西黑河某水库的实测资料对该模型进行了验证计算。计算结果表明,建立的调度模型能够较好地反映多沙河流水库汛期调度中的主要矛盾,实现对供水与排沙综合效益的优化。Abstract: Flushing of sedmients from reservoirs has always been one of the major issues in reservo ir operation on sedmient-laden rivers.Since reservoir recharge and sediment loading occur mainly during flooding seasons,the conflict of interests among the promotion of advantages (water supply) and the elmiination of disadvantages(sediment flushing) has becom eincreasingly conspicuous.Such a conflict could be resolved using the differential game theory.As the result,an optimization model is developed for a comprehensive solution of having mutual benefits among the two competing parameters.The solution can be used as the optimized plan for reservoir operations during flooding seasons.The model is tested using the observation from a reservoir on the Heihe River in the Shanxi province of China.The result shows that the model can adequately deal with the conflict of interests among the reservoir water supply and the reservoir sedmient flushing to achieve an optimized reservoir operation.