电力系统潮流可行域边界拓扑性质及边界算法

电力系统潮流可行域是一种评估系统静态安全的有效手段.文中探讨了不同子空间的潮流可行域边界的拓扑性质,提出了新的边界算法.首先,在把潮流可行域划分为负荷注入子空间与发电注入子空间的基础上,通过大量算例发现2个子空间的可行域边界具有截然不同的拓扑特性,特别是发电注入空间的潮流可行域边界在系统实际可能的运行范围内呈现较好的线性特性.然后在混合法的基础上,提出一种新的高维发电注入空间中潮流可行域L1范数最远边界点算法,该算法避免了频繁启动连续潮流计算,其结果的多解性也被用来进一步检验潮流可行域边界拓扑性质.

Study on Topological Properties of Boundary of Power Flow Feasibility Region and Algorithm for Boundary Computation

Power flow feasibility region (PFFR) is one of the most promising frameworks for static security assessment of power systems. This paper explored topological properties of boundaries of PFFR and proposed a new algorithm to trace boundaries of PFFR. Firstly, it is shown that there are significant distinctions between boundaries of PFFR in region of load injection space (RLIS) and that in region of generator injection space (RGIS). Especially, it is found that PFFR's boundaries in RGIS appear to be more linear within practical operating scope than those in RLIS. Then, based on the hybrid method, a new algorithm is developed for calculating the farthest boundary point of PFFR in high-dimension RGIS under L1 norm definition. This algorithm avoids frequent continuation power flow computation. Multi-solution of the algorithm also validates the conclusion about topological property of PFFR.