Long-range response in ac electricity grids.
Long-range response in ac electricity grids.
复制标题
交流电网中的远程响应。
作者：
Daniel Jung;S. Kettemann
电网拓扑结构的局部变化会在远离扰动的地方引起过载[D]。Witthaut和M. Timme，Eur. Phys. J. B 86，377（2013）EPJBFY 1434 -602810.1140/epj B/e2013-40469-4]，使得预测针对拓扑变化的鲁棒性（例如，由断电或电网扩展引起的）成为一项具有挑战性的任务。最近研究了单线附加对直流电网的长期响应的影响[D。Labavić河Suciu，H. Meyer-Ortmanns和S. Kettemann，Eur.物理学家：规格顶部223，2517（2014）1951-635510.1140/epjst/e2014-02273-0]。通过求解静态交流潮流方程的真实的部分，我们对交流电网进行了类似的研究。在具有循环边界条件的规则二维网格图中，我们发现功率流的变化在很宽的距离范围内作为到扰动的距离的函数的幂律衰减。对于大的系统尺寸，幂指数增加并饱和。通过对德国输电网拓扑结构进行同样的分析，我们发现在现实世界的拓扑结构中也可以找到一个长期的响应。
Local changes in the topology of electricity grids can cause overloads far away from the disturbance [D. Witthaut and M. Timme, Eur. Phys. J. B 86, 377 (2013)EPJBFY1434-602810.1140/epjb/e2013-40469-4], making the prediction of the robustness against changes in the topology-for example, caused by power outages or grid extensions-a challenging task. The impact of single-line additions on the long-range response of dc electricity grids has recently been studied [D. Labavić, R. Suciu, H. Meyer-Ortmanns, and S. Kettemann, Eur. Phys. J.: Spec. Top. 223, 2517 (2014)1951-635510.1140/epjst/e2014-02273-0]. By solving the real part of the static ac load flow equations, we conduct a similar investigation for ac grids. In a regular two-dimensional grid graph with cyclic boundary conditions, we find a power law decay for the change of power flow as a function of distance to the disturbance over a wide range of distances. The power exponent increases and saturates for large system sizes. By applying the same analysis to the German transmission grid topology, we show that also in real-world topologies a long-ranged response can be found.