﻿ 基于模糊综合评价的大型变压器油质SOH研究 Study on State of Health for Large Power Transformer Oil with Fuzzy Comprehensive Evaluation

Transmission and Distribution Engineering and Technology
Vol.06 No.03(2017), Article ID:22200,6 pages
10.12677/TDET.2017.63007

Study on State of Health for Large Power Transformer Oil with Fuzzy Comprehensive Evaluation

Yongchao Xue1, Rihong Xu2

1State Grid Pingdingshan Power Supply Company, Pingdingshan Henan

2School of Electrical Engineering, Wuhan University, Wuhan Hubei

Received: Sep. 9th, 2017; accepted: Sep. 22nd, 2017; published: Sep. 28th, 2017

ABSTRACT

Rational use of transformer oils is inseparable from the evaluation of the health status of the oil quality. The transformer oil testing information is more, and part of the amount of factors exist uncertain characteristics. In this paper, based on the fuzzy comprehensive evaluation method, the mathematical model is constructed to evaluate the status of health for the transformer oil quality. The factor set and the evaluation set are built on the basis of this model. Then the ridge distribution is used as a membership function to establish the fuzzy relation matrix, and AHP method is used to quantify the weight. This paper presents a fuzzy comprehensive evaluation method to analyze oil qualitative health status, and the method is verified by examples. Examples analyses show that this method is reasonable and effective.

Keywords:Fuzzy Comprehensive Evaluation, State of Health, Power Transformer Oil

1国网平顶山供电公司，河南 平顶山

2武汉大学电气工程学院，湖北 武汉

1. 引言

2. 模糊综合评价数学模型

$B=W\circ R=\left\{\left({b}_{1},{b}_{2},\cdots ,{b}_{m}\right)\right\}$ (1)

3. 油质模糊评价过程

3.1. 评判集、因素集的构成

$V=\left\{{v}_{1},{v}_{2},{v}_{3},{v}_{4}\right\}={\left\{\begin{array}{c}良好,\text{\hspace{0.17em}}可继续使用\\ 合格,\text{\hspace{0.17em}}应加强监测\\ 不良,\text{\hspace{0.17em}}处理后降级使用\\ 很坏,\text{\hspace{0.17em}}应更换\end{array}\right\}}^{\text{T}}$ (2)

3.2. 评价因素权重的确定

3.3. 评价指标劣化度

$d\left(x\right)=\frac{{x}_{f}-x}{{x}_{f}-{x}_{Z}}$ (3)

3.4. 模糊关系矩阵的确立

$r\left({d}_{i}\right)=\left\{\begin{array}{ll}0\hfill & \text{\hspace{0.17em}}\text{\hspace{0.17em}}{d}_{i}\le a\hfill \\ \frac{1}{2}+\frac{1}{2}\mathrm{sin}\frac{\text{π}}{b-a}\left[{d}_{i}-\frac{a+b}{2}\right]\hfill & a<{d}_{i}\le b\hfill \\ 1\hfill & b<{d}_{i}\le c\hfill \\ \frac{1}{2}-\frac{1}{2}\mathrm{sin}\frac{\text{π}}{d-c}\left[{d}_{i}-\frac{c+d}{2}\right]\hfill & c<{d}_{i}\le d\hfill \\ 0\hfill & \text{\hspace{0.17em}}\text{\hspace{0.17em}}{d}_{i}>d\hfill \end{array}$ (4)

3.5. 模糊综合评价

${b}_{j}=\underset{i=1}{\overset{n}{\sum }}\left({w}_{i}\cdot {r}_{ij}\right),\text{ }j=1,2,\cdots ,m$ (5)

4. 油质SOH评估示例

Table 1. Test data

Table 2. Test data

Figure 1. The transformer oil SOH evaluation interface

5. 结论

Study on State of Health for Large Power Transformer Oil with Fuzzy Comprehensive Evaluation[J]. 输配电工程与技术, 2017, 06(03): 49-54. http://dx.doi.org/10.12677/TDET.2017.63007

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