基于微分法的接地网拓扑结构检测
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摘要
现有研究中常采用磁场逆问题方法对变电站接地网的拓扑结构和腐蚀断裂等问题进行诊断,但是该方法的求解过程通常比较复杂。本文提出一种微分法,该方法对注入电流后的接地网上方磁场测量数据进行滤波和数值微分处理,可以直接绘制接地网的拓扑结构。本文首先对微分法的原理进行了详细的理论分析,建立了用于描述平行于接地网地表方向的磁场的形函数。由于形函数的偶数阶导数具有主峰特性,本文选用二阶和四阶形函数导数对拓扑结构检测,仿真结果表明二者都可精确的诊断载流网格的拓扑结构。实验结果表明四阶微分法对测量数据的精确性要求过高,在实际应用中推荐使用二阶微分法。本文所提出的微分法计算简单、误差小,可以用于确定测量区域内接地网支路所在位置,绘制接地网拓扑结构并可进一步应用于接地网腐蚀断裂等问题的诊断中。
The magnetic inverse problem method is often used to diagnose the topology and corrosion broken of the grounding grids in existing research, but the solution process is usually very complex. This paper proposes a derivative method which can draw the topology of ground grids by injecting current into the ground grids, filtering and numerical differentiation for magnetic field of the surface. First, a shape function is introduced to describe the distribution of magnetic field which is parallel to the surface of grounding grids, after analyzing the principle of derivative method. Since its even-order derivatives contain main peaks, the 2nd- and 4th-order derivatives are chosen to detect the topology of grounding grids, and numerical example shows that the 2nd- and 4th-order derivative method can accurately diagnose the topology of current-carrying grids. Experimental result shows that the 2nd- order derivative method is recommended to use in practical application, while the 4th-order derivative method requires high accuracy measurement data. Thus, the derivative method can detect the position of grid branch in the measurement area, and hereby draw the topology of grounding grids with low error and less computation.
引文
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