面向数字孪生模型应用的油浸式变压器绕组温度POD-RBFLP降阶计算方法  

Research on Reduced Order Method of Temperature Rise of Oil-immersed Power Transformer Winding Based on POD-RBFLP for Digital Twin Model

作　　者：刘刚[1] 胡万君 郝世缘 高成龙 武卫革[2] 刘云鹏[1] 李琳[3] LIU Gang;HU Wanjun;HAO Shiyuan;GAO Chenglong;WU Weige;LIU Yunpeng;LI Lin(Hebei Provincial Key Laboratory of Power Transmission Equipment Security Defense(North China Electric Power University),Baoding 071003,Hebei Province,China;Hebei Provincial Key Laboratory of Electromagnetic&Structural Performance of Power Transmission and Transformation Equipment(Baoding Tianwei Baobian Electric Co.,Ltd.),Baoding 071056,Hebei Province,China;State Key Laboratory of Alternate Electrical Power System with Renewable Energy Sources(North China Electric Power University),Changping District,Beijing 102206,China)

机构地区：[1]河北省输变电设备安全防御重点实验室(华北电力大学),河北省保定市071003 [2]河北省输变电装备电磁与结构性能重点实验室(保定天威保变电气股份有限公司),河北省保定市071056 [3]新能源电力系统国家重点实验室(华北电力大学),北京市昌平区102206

出　　处：《中国电机工程学报》2024年第11期4566-4578,I0034,共14页Proceedings of the CSEE

基　　金：国家重点研发计划项目(2021YFB2401703);中央高校基本科研业务费专项资金(2022MS073)。

摘　　要：了解油浸式电力变压器绕组的温度情况是保证其运行稳定性的关键,也是当前针对油浸式变压器数字孪生分析的必然需求。为了快速地获得变压器绕组的稳态温度,该文提出一种基于本征正交分解(proper orthogonal decomposition,POD)和包含线性多项式的径向基函数响应面法(radial basis function response surface method including linear polynomial,RBFLP)的降阶计算模型。首先,讨论POD方法的降阶特性,并设计一种基于留一法交叉验证的自适应获得快照矩阵方法,以提高计算精度及效率;其次,采用响应面方法建立POD模态系数与绕组工况的相关关系,旨在实现通过绕组工况快速获得POD模态系数,从而跳过对降阶模型的复杂非线性计算,进而高效重构绕组温度场。相关算例表明,该方法具有较好的计算精度和效率,在50组测试工况下,与全阶计算相比,误差不超过2.5 K,且总计算时间仅为1.45 s;最后,基于110 kV变压器绕组搭建温升试验平台,试验结果表明,降阶计算结果相较于试验结果,平均计算误差不超过2 K,且单步计算时间仅为0.03 s,相较于同等规模的全阶计算,计算效率有较大幅度地提升。Understanding the temperature situation of windings of oil immersed power transformers is the key to ensuring their operational stability,and it is also an inevitable requirement for digital twin analysis of oil immersed transformers.In order to obtain the steady-state temperature of transformer windings more quickly,this paper proposes a reduced-order calculation model based on proper orthogonal decomposition(POD)and radial basis function response surface method including linear polynomial(RBFLP).First,the article discusses the order reduction characteristics of the POD method and designs an adaptive snapshot matrix acquisition method based on the leave one out(LOO)method cross validation to improve computational accuracy and efficiency.Then,the response surface methodology is used to establish the correlation between POD modal coefficients and winding conditions,aiming to quickly obtain POD modal coefficients through winding conditions,thereby skipping the complex nonlinear calculations of the reduced order model and efficiently reconstructing the winding temperature field.Related examples show that the method has good computational accuracy and efficiency.Under 50 test conditions,compared with full-order calculations,the error does not exceed 2.5 K,and the total calculation time is only 1.45 s.Finally,a temperature rise test platform is built based on the 110 kV transformer winding.The test results show that the average calculation error of the reduced-order calculation results does not exceed 2 K compared to the test results,and the single-step calculation time is only 0.03 s.Compared with the full-order calculation of the same scale,the calculation efficiency is significantly improved.

关 键 词：油浸式电力变压器 绕组稳态温度 本征正交分解 包含线性多项式的径向基函数响应面 降阶模型 

分 类 号：TM411[电气工程—电器]