论文标题
嵌套分解方法及其用于层次电力网格协调操作的应用
A Nested Decomposition Method and Its Application for Coordinated Operation of Hierarchical Electrical Power Grids
论文作者
论文摘要
多级，多环和层次相互联系的电力网格面临着许多挥发性能源的整合面临重大挑战。由于缺乏协调，互连电网的传统孤立操作是不经济的。这可能导致严重的事故影响运营安全。但是，考虑到每个电网的操作独立性和信息隐私，相互连接的电网的集中操作是不切实际的。本文提出了一种嵌套分解方法，用于层次电力电网的协调操作，该方法可以通过仅交换边界信息来交换上层和下层功率网格之间的迭代来实现全局优化。在每次迭代期间，一个投影函数以二阶精确度计算出投影到其边界变量空间上的低级功率网格的最佳目标值。因此，所提出的方法可以广泛应用于非线性连续优化，并且比现有分解方法更快地收敛。我们对协调的操作示例进行了数值测试，该示例具有三重功率网格，该示例证明了该方法的有效性和性能。
Multilevel, multiarea, and hierarchically interconnected electrical power grids confront substantial challenges with the increasing integration of many volatile energy resources. The traditional isolated operation of interconnected power grids is uneconomical due to a lack of coordination; it may result in severe accidents that affect operational safety. However, the centralized operation of interconnected power grids is impractical, considering the operational independence and information privacy of each power grid. This paper proposes a nested decomposition method for the coordinated operation of hierarchical electrical power grids, which can achieve global optimization by iterating among upper- and lower-level power grids with exchange of boundary information alone. During each iteration, a projection function, which embodies the optimal objective value of a lower-level power grid projected onto its boundary variable space, is computed with second-order exactness. Thus, the proposed method can be applied widely to nonlinear continuous optimizations and can converge much more rapidly than existing decomposition methods. We conducted numerical tests of coordinated operation examples with a trilevel power grid that demonstrate the validity and performance of the proposed method.
