Distribution system state estimation using semidefinite programming
Distribution system state estimation using semidefinite programming
复制标题
使用半定规划的配电系统状态估计
DOI：
10.1109/naps.2015.7335195
复制
发表时间：
2015
期刊：
影响因子：
--
通讯作者：
Hao Zhu
中科院分区：
文献类型：
--
作者：
C. Klauber;Hao Zhu
与配电网相连的分布式能源的渗透率越来越高，需要准确、强大和可靠的实时系统监控工具。本文研究了配电网的状态估计问题，提出了一种新的基于凸松弛的半定规划求解方法。即使在一个简单的4节点情况下，我们已经发现，当不同来源的测量质量差异更大时，现有方法(如迭代牛顿方法)更容易出现收敛问题。通过将SE问题松弛为凸SDP问题，所提出的方法具有接近全局最优解的潜力，而不会受到由于在零注入节点处包含例如“虚拟测量”而引起的数值问题的影响。对IEEE4节点和13节点馈线算例进行了数值试验，验证了所提方法的可行性和有效性。
Growing penetration of distributed energy resources connected to power distribution networks requires accurate, robust, and dependable real-time system monitoring tools. This paper considers the state estimation (SE) problem in distribution systems and proposes a new convex relaxation based approach to solve it as a semidefinite programming problem. Even with a simple 4-bus case, we have identified that existing approaches such as the iterative Newton's method are more prone to convergence issues when measurement quality varies more significantly across different sources. By relaxing the SE problem to a convex SDP, the proposed method has the potential to closely attain the globally optimum solution without suffering from numerical issues caused by the inclusion of e.g., `virtual measurements' at zero-injection nodes. Numerical tests have been performed on the IEEE 4-bus and 13-bus test feeder cases to demonstrate the feasibility and effectiveness of the proposed approach.