The electric and magnetic fields around power lines carry an immense amount of information about the power grid and can be used to improve stability, balance loads, conserve power, and reduce outages. To study this, an extremely large model of transmission lines over a 70-km² tract of land near Washington, DC, has been built. The terrain was modeled accurately using 1-m-resolution LIDAR data. The 140-million-element power-line model was solved using the boundary element method, and the solvers were parallelized across DEVCOM Army Research Laboratory’s Centennial supercomputer using a modified version of the domain decomposition method. The code on each node was accelerated using the fast multipole method and, when available, GPUs. Additionally, larger test models were used to characterize the scalability of the code. The largest test model had 10,010,944,000 elements, and was solved on 1,024 nodes in 4.3 hours.

电力线周围的电场和磁场携带着有关电网的大量信息，可用于提高稳定性，平衡负载，节省电力并减少停电。为了研究这一点，在70公里^{2的范围内}建立了一个非常大的输电线路模型华盛顿特区附近的一块土地已经建成。使用1米分辨率的LIDAR数据对地形进行了精确建模。使用边界元方法求解了1.4亿个元素的电力线模型，并使用域分解方法的改进版本在DEVCOM陆军研究实验室的百年超级计算机之间并行求解了求解器。每个节点上的代码都使用快速多极方法以及GPU（如果有）来加速。此外，较大的测试模型用于表征代码的可伸缩性。最大的测试模型包含10,010,944,000个元素，并在4.3小时内在1,024个节点上求解。