...
  • 主题
高级搜索  >
历史搜索 清空历史
首页> 外文期刊>Earth, planets and space: EPS >Eigenvalues and eigenvectors of the transfer matrix involved in the calculation of geomagnetically induced currents in an electric power transmission network
【24h】

Eigenvalues and eigenvectors of the transfer matrix involved in the calculation of geomagnetically induced currents in an electric power transmission network

机译：输电网络中地磁感应电流的计算所涉及的传递矩阵的特征值和特征向量

获取原文
           
页面导航
  • 摘要
  • 著录项
  • 相似文献
  • 相关主题

摘要

Geomagnetically induced currents (GIC) flowing in power grids can be calculated from matrix equations whose input data are the geoelectric field and the network parameters. The transfer matrix between the "perfect-earthing" (pe) currents and the earthing GIC are discussed in this paper by considering its eigenvalues and eigenvectors. The pe currents include the influence of the geoelectric field whereas the transfer matrix only depends on the network data. It is shown that an eigenvalue equals one or the corresponding eigenvector satisfies the condition that the sum of its pe currents is zero. Using physical arguments, we conclude that all eigenvalues of the transfer matrix are non-negative and between zero and one. This statement is proved mathematically for a three-node network and supported by numerical computations for the Finnish 400 kV GIC test model. Special attention is paid to the norm of the earthing GIC, which gives an idea of the risk of GIC to a power grid. This norm seems to have the lower and upper limits practically equal to the smallest and largest (≠1) eigenvalue of the transfer matrix multiplied by the norm of the pe currents.
机译：可以根据矩阵方程来计算在电网中流动的地磁感应电流（GIC），其输入数据为地电场和网络参数。本文讨论了“完美接地”（pe）电流与接地GIC之间的传递矩阵，并考虑了其特征值和特征向量。 pe电流包括地电场的影响，而传递矩阵仅取决于网络数据。结果表明，特征值等于1或对应的特征向量满足其pe电流之和为零的条件。使用物理参数，我们得出结论，转移矩阵的所有特征值都是非负的，介于零和一之间。该陈述已在三节点网络上得到了数学证明，并得到了芬兰400 kV GIC测试模型的数值计算的支持。要特别注意接地GIC的规范，该规范给出了GIC对电网的风险概念。该规范的上下限实际上等于传递矩阵的最小和最大（≠1）特征值乘以pe电流的规范。

著录项

相似文献

  • 外文文献
  • 中文文献
  • 专利
获取原文

客服邮箱：kefu@zhangqiaokeyan.com

京公网安备：11010802029741号 ICP备案号：京ICP备15016152号-6 六维联合信息科技 (北京) 有限公司©版权所有

  • 客服微信

  • 服务号