在梯级水电站群调度模型中恰当表述离散运行区间约束以及水头影响并在求解算法中有效处理这些因素是梯级水电站群调度中面临的挑战。文中通过将水头离散化,设定多维0-1状态变量及相关约束,建立了一个梯级水电系统短期调度的线性混合整数规划模型,能够综合考虑水头影响、不连续运行区间等约束。模型采用CPLEX软件包求解,对一个包含3个梯级水库、12台机组的梯级水电系统进行了测试,结果表明所提出的建模方法是有效的,能灵活处理受水头影响的水库群水电站短期调度中的多种复杂因素。
It is a challenge to appropriate formulation and solution to short-term scheduling of cascaded hydropower stations with discrete operating zones and water-head effects. A mixed integer linear programming model for short-term scheduling of the cascaded hydropower generation system is established that can efficiently handle discrete operating zones and water-head effects. The basic idea is the discretization of the storage level of the reservoir while setting some relevant binary variables and constraints. The model is then solved with a CPLEX package. Numerical test results concerning a testing system with 3 reservoirs and 12 hydropower generating units show that the model presented is effective and flexible, while capable of handling many complex factors in short-term scheduling of cascaded hydropower systems.