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提出了考虑水流滞时的短期梯级水电日优化调度模型。将水流滞时表示成平均出库流量的非线性函数形式,以反映梯级水电站间水流滞时的动态特性。同时,提出了针对复杂的水流滞时、水电转换、分段出力限制等非线性函数线性函数线性化建模的新方法,通过引入多组状态变量及相关约束,将梯级水电日优化调度问题转换为线性混合整数规划问题,最后,采用CPLEX商用软件包进行求解。通过对包含13个水库、44台机组的梯级水电系统的算例分析,验证了模型的合理性和方法的有效性。
A short-term cascade hydropower daily optimal scheduling model considering the hysteresis of the water flow is proposed. The water flow hysteresis is expressed as a non-linear function of the average outflow to reflect the dynamic characteristics of the water flow lag between cascades. At the same time, a new method for linear modeling of nonlinear functions, such as complicated water flow lags, hydropower transformations, and sectionalized output constraints, is proposed. By introducing multiple sets of state variables and related constraints, the daily optimal scheduling problem of cascade hydropower stations is transformed It is a linear mixed integer programming problem. Finally, CPLEX commercial software package is used to solve the problem. Through the case study of a cascade hydropower system with 13 reservoirs and 44 units, the rationality of the model and the effectiveness of the method are verified.