Research on Three-dimensional Temperature Field Reconstruction Method for Transformers Based on Improved Markov Radial Basis Function

尹雪; 王昕

doi:10.19725/j.cnki.1007-2322.2023.0438

English Version Reader LoginJournal Login

您当前的位置：

首页 >

文章列表页 >

Research on Three-dimensional Temperature Field Reconstruction Method for Transformers Based on Improved Markov Radial Basis Function

更新时间：2026-02-02

- Research on Three-dimensional Temperature Field Reconstruction Method for Transformers Based on Improved Markov Radial Basis Function
- Vol. 43, Issue 1, Pages: 162-169(2026)
- 作者机构：
  
  1. 上海电力大学电气工程学院, 上海市杨浦区,200090
  2. 上海交通大学教学发展与学生创新中心,上海市闵行区,200240
- 作者简介：
- 基金信息：
- DOI：10.19725/j.cnki.1007-2322.2023.0438
  CLC： 1
- Published：2026
- 稿件说明：
移动端阅览
尹雪, 王昕. Research on Three-dimensional Temperature Field Reconstruction Method for Transformers Based on Improved Markov Radial Basis Function[J]. 2026, 43(1): 162-169.
DOI：

尹雪, 王昕. Research on Three-dimensional Temperature Field Reconstruction Method for Transformers Based on Improved Markov Radial Basis Function[J]. 2026, 43(1): 162-169. DOI： 10.19725/j.cnki.1007-2322.2023.0438.

摘要

温度是影响变压器油绝缘的关键因素。为了实现无损检测变压器内部温度分布，提出一种单向测量和反射测量联合的新型超声波温度检测方法，以获取超声波在变压器内部沿各条路径传播的飞行时间。该文采用基于改进马尔可夫径向基函数(Markov-radial basis function，Markov-RBF)的变压器三维温度场重建算法，将变压器内部分为若干子块，并根据子块中心点的平均温度拟合全域温度，解决变压器内部超声波传播受阻，部分温度无法获取的问题，以及因传播路径小于子块数目造成病态矩阵不适定性问题，实现变压器内部三维温度场重建和最高温度定位。以10 kV三相三柱油浸式试验变压器为例，采用COMSOL仿真对检测系统的温度场重建结果进行对比分析。结果表明：两者重建的温度场具有一致性，实测的最高油温点(位于油箱约70%高度处的绕组)与仿真预测的热点位置吻合。

Abstract

Temperature stands as a pivotal factor influencing the insulation of transformer oil. To realize non-destructive testing of the internal temperature distribution of the transformer

a new ultrasonic temperature detection method is proposed based on unidirectional and reflective joint measurement

which enables accurate determination of the ultrasonic flight time along the propagation paths inside the transformer. Additionally

a three-dimensional temperature field visualization algorithm for transformers is proposed

relying on improved Markov radial basis function (Markov-RBF). The transformer’s interior is partitioned into several sub-blocks

and an algorithm is utilized to fit the overall temperature by averaging the temperatures at the center points of these sub-blocks. This algorithm effectively addresses the challenge of inaccessible temperature data in areas where ultrasonic wave propagation is hindered within the transformer. It also resolves the ill-conditioned matrix issue caused by the number of propagation paths being fewer than the number of sub-blocks. Consequently

the reconstruction of the three-dimensional temperature field is successfully accomplished inside the transformer

enabling the visualization of temperature distributions and localization of the highest temperature. Taking a 10 kV three-phase three-column oil-immersed experimental transformer as an example

COMSOL simulation is utilized to compare and analyze the temperature field reconstruction results of the detection system. The results demonstrate a consistency between the two reconstructed temperature fields

with the highest oil temperature occurring near the winding at 70% of the tank height

thereby validating the effectiveness of this method.

关键词

Keywords

references

TAN Fenglei, ZHANG Zhaojun, WU Xingquan, et al . Application of prediction accuracy interpolation method based on support vector machine optimization in transformer oil temperature preprocessing[J ] . Modern Electric Power, 2020, 37(6): 591−597(in Chinese).

谭风雷, 张兆君, 吴兴泉, 等. 支持向量机优化的线性插值法在变压器油温预处理中的应用[J]. 现代电力, 2020, 37(6): 591−597.

Power transformers Part 7: Loading guide for oil-immersed power transformers: GB/T 1094.7—2008[S]. Beijing: China Electric Power Press, 2008(in Chinese).

电力变压器第7部分: 油浸式电力变压器负载导则: GB/T 1094.7—2008[S]. 北京: 中国电力出版社, 2008.

ZHANG Guoyun. The internal fault analysis and treatment of 220kV transformer are discussed[J]. China Plant Engineering, 2023, 7(14): 153−155(in Chinese).

张国云. 探讨220kV变压器的内部故障分析及处理[J]. 中国设备工程, 2023, 7(14): 153−155.

VAHID S, JAWAD F, MOHAMMAD H, et al . Improving the transformer thermal modeling by considering additional thermal points[J ] . International Journal of Electrical Power Energy Systems, 2021, 128 (6): 106748−106757.

LI Teng, LIAO Jun, FAN Peipei, et al . Forecasting method for ultra-high voltage converter transformer top-oil temperature based on self-attention mechanism and improved recurrent neural network hybrid model[J ] . Modern Electric Power, 2024, 41(06): 1167−1175(in Chinese).

李腾, 廖军, 樊培培, 等. 基于自注意力机制与改进循环神经网络混合模型的特高压换流变压器顶层油温预测方法[J]. 现代电力, 2024, 41(06): 1167−1175.

ZHANG Dandan, ZHOU Zhiqiang, SHEN Yu, et al . Testing method for winding materials of three-phase transformers based on principle of thermocouple[J ] . High Voltage Apparatus, 2019, 55(9): 254−259(in Chinese).

张丹丹, 周志强, 沈煜, 等. 基于热电偶原理的三相变压器绕组材料检测方法[J]. 高压电器, 2019, 55(9): 254−259.

LIU Yunpeng, LI Huan, GAO Shuguo, et al . Research on application of distributed optical fiber sensing in monitoring of temperature and winding deformation of large transformer[J ] . Proceedings of the CSEE, 2022, 42(16): 6126−6135(in Chinese).

刘云鹏, 李欢, 高树国, 等. 分布式光纤传感在大型变压器温度和绕组变形监测中的应用研究[J]. 中国电机工程学报, 2022, 42(16): 6126−6135.

ZHANG Weiqing, WANG Chengliang, XU Hong, et al . Temperature field distribution of transformer winding based on TDMA algorithm[J ] . Automation Instrumentation, 2022, 6(6): 253−256(in Chinese).

张卫庆, 王成亮, 徐洪, 等. 基于TDMA算法的变压器绕组温度场分布研究[J]. 自动化与仪器仪表, 2022, 6(6): 253−256.

WU Bin, SHEN Zhenghua. On-line monitoring system for overheat fault of power transformer based on infrared temperature measurement technology[J]. Electric Engineering, 2020, 51(2): 131−133(in Chinese).

吴斌, 沈正华. 基于红外测温技术的电力变压器过热故障在线监测系统[J]. 电工技术, 2020, 51(2): 131−133.

CHAO Fenjin, WANG Shaohong, ZHOU Fuqiang, et al . Study on reconstruction of furnace temperature field by acoustic method[J ] . China Measurement Testing Technology, 2023, 49(9): 31−36(in Chinese).

晁奋进, 王少红, 周福强, 等. 声学法重建炉膛温度场研究[J]. 中国测试, 2023, 49(9): 31−36.

SHEN Xuehua, CHEN Huanting, SHIH T M, et al . Construction of three-dimensional temperature distribution using a network of ultrasonic transducers[J ] . Scientific Reports, 2019, 9(1): 12726−12736.

KONG Qian, JIANG Genshan, LIU Yuechao, et al . 3D high-quality temperature-field reconstruction method in furnace based on acoustic tomography[J ] . Applied Thermal Engineering, 2020, 17 9(11): 115693−115708.

ZUO Chenmeng. Research on acoustic temperature measurement method for combustion chamber temperature field of aircraft engine[D]. Shenyang: Shenyang Aerospace University, 2018(in Chinese).

左臣蒙. 航空发动机燃烧室温度场的声学测温方法研究[D]. 沈阳: 沈阳航空航天大学, 2018.

CHEN Lei, WANG Shaohong, ZHOU Fuqiang, et al . Research on ultrasonic measurement of temperature in clutch case[J ] . Journal of Electronic Measurement and Instrumentation, 2021, 35(5): 76−82(in Chinese).

陈磊, 王少红, 周福强, 等. 超声波测量离合器包箱温度研究[J]. 电子测量与仪器学报, 2021, 35(5): 76−82.

DONG Chenlong, ZHOU Xinzhi, BAI Xingdu, et al . Temperature field reconstruction algorithm based on Reflected-Sigmoidradial basis function interpolation[J ] . Journal of Sichuan University (Natural Science Edition), 2019, 56(5): 851−856(in Chinese).

董晨龙, 周新志, 白兴都, 等. 基于Reflectd-Sigmoid径向基函数插值的温度场重建算法[J]. 四川大学学报(自然科学版), 2019, 56(5): 851−856.

LI Hao. Research and system design of ultrasonic temperature field reconstruction method based on radial basis function[D]. Chongqing: Chongqing University, 2017(in Chinese).

李昊. 基于径向基函数的超声波测温温度场重建方法研究与系统设计[D]. 重庆: 重庆大学, 2017.

ZHOU Xinzhi, DONG Chenlong, ZHAO Chengping, et al . Temperature-field reconstruction algorithm based on reflected sigmoidal radial basis function and QR decomposition[J ] . Applied Thermal Engineering, 2020, 171(1): 114987−115007.

ZHAO Li, ZHOU Xinzhi, DONG Chenlong, et al . Ultrasonic thermometry algorithm based on inverse quadratic function[J ] . IEEE Transactions on Ultrasonics, Ferroelectrics, and Frequency Control, 2021, 68(5): 1876−1884.

QIN Ziqiang. Research on spatial combination localization based on UWB/SINS[D]. Chongqing: Chongqing Jiaotong University, 2023(in Chinese).

覃子强. 基于UWB/SINS的空间组合定位研究[D]. 重庆: 重庆交通大学, 2023.

Views

下载量

CSCD

Alert me when the article has been cited

提交

Tools

Publicity Resources

Calculation of Particles Moving Traces in Transformer Oil

Importance of the character Analysis of electric insulation oil

Research on the UHF Frequency Characteristics of PD in Power Transformers

Related Author

付守海

王淑娟

王景春

Gu Hong

Wang Wei

Li Chengrong

Tang Zhiguo

Wan Weijiang

Related Institution

华北电力大学

Chongqing Technology and Business University

Dept. of Electrical Power Engineering, NCEPU

华北电力大学（北京）电力工程系北京102206

AI问答

⁰