基于连续线性规划的梯级水电站优化调度

梯级水电站优化调度是一个多时段、多变量和多约束条件的大规模优化问题，其求解过程非常复杂。文章尝试采用连续线性规划的优化方法来解决梯级水电站长期优化调度问题。通过采用泰勒级数一阶描述形式，对优化调度目标函数和约束条件中的非线性约束进行线性化处理，建立了基于连续线性规划算法的优化调度数学模型，提出了用连续线性规划技术求解梯级水电站优化调度问题的算法，并采用迭代步长的动态比例缩减因子保证算法能快速准确地收敛到优化问题的最优解。利用Matlab7.0编制连续线性规划梯级水电站优化调度程序，一个两级梯级水电站群的仿真分析结果表明，该算法可用于求解梯级水电站优化调度问题，并可快速得到非线性问题的最优解。

Successive Linear Programming Based Optimal Scheduling of Cascade Hydropower Station

Optimal scheduling of cascade hydropower station is a large-scale optimization problem with multi- variables and multi-constraints, so its solving process becomes complicated. In this paper, the authors attempt to solve long-term optimal scheduling of cascade hydropower station by successive linear programming (SLP). By use of first-order linear expansion of Taylor series, the linearization process of both nonlinear constraints and objective function of long-term optimal scheduling model are performed and an optimal scheduling model based on seccessive linear programming is built; an approach to solve Optimal scheduling of cascade hydropower station problem by seccessive linear programming is put forward, the scale-down factor of iteration step length is used to ensure that the algorithm can converge to the optimal solution of optimization problem quickly and accurately. The optimal scheduling program for cascade hydropower station is programmed by Matlab 7.0. Simulation results of two cascade hydropower station show that the proposed method can be applied to solve optimal scheduling of cascade hydropower station and the optimal solution of nonlinear problem can be obtained quickly.