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基于节点阻抗矩阵的电力网络故障分析

Fault Analysis of Power Network based on Node Impedance Matrix

Research on Smart Grid / 2020,2(3)：78-88 / 2020-07-21 1071 1271

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• Authors: 夏大斌     
• Information:

  山西理工大学，太原

• Keywords: 节点阻抗矩阵；智能电网；故障分析
• Node impedance matrix; Smart grid; Fault analysis
• Abstract: 节点阻抗矩阵是电力网络中故障计算时重要的分析工具。电力网络中 同杆架设的平行双回线间存在全线互感或部分互感现象，为节点阻抗矩阵的形 成与修正带来了挑战。针对互感线路、部分互感线路以及在互感线路上发生故 障的情形进行了理论分析和方法推导，给出了网络节点编号策略和具体编号方 法，对节点电压、节点电流、支路电压和支路电流之间的关系矩阵进行了丰富 完善，相应的公式推导也从理论上验证了有关形成方法的有效性，为智能电网 中故障分析和计算提供了一种新的分析工具。
• Node impedance matrix is an important analysis tool in power network fault calculation. There are mutual inductance or partial mutual inductance between parallel double circuit lines on the same tower in power network, which brings challenges to the formation and correction of node impedance matrix. In this paper, theoretical analysis and method derivation are carried out for mutual inductance transmission line, partial mutual inductance line and fault situation on mutual inductance line. The network node numbering strategy and specific numbering method are given. The relationship matrix between node voltage, node current, branch voltage and branch current is enriched and perfected. The corresponding formula derivation also verifies the formation method in theory It provides a new analysis tool for fault analysis and calculation in smart grid.
• DOI: https://doi.org/10.35534/rsg.0203014c
• Cite: 夏大斌．基于节点阻抗矩阵的电力网络故障分析［J］．智能电网研究，2020，2（3）：78-88．