针对有时间关联约束的一类安全经济调度问题,以机组输出功率速率约束为例,建立Dantzig-Wolfe分解的主从优化问题及其迭代机制来求解。主问题是仅计及时间关联约束的优化问题,从问题是按研究期间所划分时段数构成若干静态子优化问题。主问题在由从问题确定的解空间内寻优;从问题依据主问题解所对应的拉格朗日乘子来修正其目标,以间接松弛时间关联约束。在给出主从问题交替求解收敛条件及其论证基础上,提出了详细的计算方法和特殊问题的处理手段。5机系统、IEEE24节点系统和IEEE118节点系统的计算和分析表明,文中方法能有效解决带有时间关联约束的一类安全经济调度问题,具有对大规模系统实际应用的前景。
To solve various security economic dispatch problems, such as generator ramp rate limits, a master-slave optimization model and iterative solving mechanism based on Dantzig-Wolfc decomposition are proposed. In the master problem, only time correlation constraints are considered with the solution areas determined by slave problems. Depending on the study periods, the slave problems are made up of some static optimization sub-problems. In order to decouple the time correlation constraints indirectly, the slave problems objective functions are modified with the Lagrangian multipliers corresponding to the optimal solution of the master problem. Based on the convergence conditions and examples of the iterative solutions, the detailed algorithm and special problem solutions are proposed. Simulation results on the 5-generator system, the IEEE 24-node system and the IEEE 118-node system indicate the effectiveness of the proposed method and its prospect of large scale application in practice.