基于约束总体最小二乘算法的接地网故障诊断新模型

张英娇 1; 罗先觉 1; 牛涛 1; 2; 刘利强 1

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基于约束总体最小二乘算法的接地网故障诊断新模型

更新时间：2025-07-09

- 基于约束总体最小二乘算法的接地网故障诊断新模型
- New Model of Corrosion Diagnosis for Grounding Grids Based on Constrained Total Least Squares Algorithm
- 西安交通大学学报 2010年44卷第10期页码：110-115
- 作者机构：
  
  西安交通大学电气工程学院,西安,710049
- 作者简介：
- 基金信息：
- DOI：
  中图分类号： TM86
- 网络首发：2010-10-10，
  
  纸质出版：2010
- 稿件说明：
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张英娇 1, 罗先觉 1, 牛涛 1, 等. 基于约束总体最小二乘算法的接地网故障诊断新模型[J]. 西安交通大学学报, 2010,44(10):110-115.

New Model of Corrosion Diagnosis for Grounding Grids Based on Constrained Total Least Squares Algorithm[J]. 2010, 44(10): 110-115.
张英娇 1, 罗先觉 1, 牛涛 1, 等. 基于约束总体最小二乘算法的接地网故障诊断新模型[J]. 西安交通大学学报, 2010,44(10):110-115. DOI：

New Model of Corrosion Diagnosis for Grounding Grids Based on Constrained Total Least Squares Algorithm[J]. 2010, 44(10): 110-115. DOI：

摘要

针对变电站接地网实际敷设情况往往与施工图纸有所出入、可能造成诊断结果具有较大误差的情况

在传统电路诊断模型的基础上考虑了接地网腐蚀特性

即地理位置越接近的导体被腐蚀的程度越相近

并提出局部差异性腐蚀指标表示支路电阻腐蚀倍数的相近程度

从而建立了接地网故障诊断的增广线性模型

同时运用基于奇异值分解法分解的最佳降秩逼近定理解决模型中方程组等式两端的不相容性.为校正诊断模型中存在的扰动对诊断结果的影响

采用了基于约束总体最小二乘算法的优化算法

对明晰支路和模糊支路分别迭代

在已知设计模型与实际支路敷设有偏差的情况下得出了较为满意的解.仿真计算结果验证了所提方法的正确性和有效性.

Abstract

A discrepancy between the actual installation of substation grounding grids and the design drawings often leads to bigger error in the diagnostic results. Based on the traditional circuit method

the corrosion diagnosis algorithm is improved to take the corrosion characteristics into account

which means that the branches connected to the same node have the similar corrosion extent range. Therefore

an augmented linear model is proposed with localized difference corrosion index. And the best reduced-rank approximation theorem is adopted to ensure the compatibility of the equations. To solve the novel model

the total least squares algorithm is chosen to reduce the deviation carried by the disturbance factors in the model. The simulation results show the validity of this approach.

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references

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