基于混合有限元法的油浸式变压器稳态流-热耦合场并行计算方法  

Parallel Calculation Method for Steady-state Fluid-thermal Coupling Field of Oil-immersed Transformer Based on Hybrid Finite Element Method

作　　者：刘刚[1,2] 靳立鹏 胡万君 刘云鹏[1,2] 武卫革[3] LIU Gang;JIN Lipeng;HU Wanjun;LIU Yunpeng;WU Weige(Hebei Provincial Key Laboratory of Power Transmission Equipment Security Defense,North China Electric Power University,Baoding 071003,China;State Key Laboratory of Alternate Electrical Power System with Renewable Energy Sources,North China Electric Power University,Beijing 102206,China;Hebei Provincial Key Laboratory of Electromagnetic&Structural Performance of Power Transmission and Transformation Equipment,Baoding Tianwei Baobian Electric Co.,Ltd.,Baoding 071056,China)

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

出　　处：《高电压技术》2024年第5期2259-2269,共11页High Voltage Engineering

基　　金：国家重点研发计划(2021YFB2401703);河北省重点研发计划(20312101D);中央高校基本科研业务费专项资金(2022MS073)。

摘　　要：针对油浸式变压器2维流-热耦合仿真计算效率低的问题,提出了基于混合有限元法的并行计算方法。首先,在Visual Studio 2019中采用C++语言实现无量纲最小二乘有限元法以及迎风有限元法的串行计算方法。然后,基于图形处理器(graphic processing unit,GPU)实现流体场的并行计算,针对单分区分匝模型对比分析了不同GPU卡在不同网格条件下的并行计算效率,分析结果表明数据规模越大,GPU卡流处理器越多并行效果越好。其次,基于Intel MKL(Intel math kernel library)函数库结合共享存储并行编程(open multi-processing,OpenMP)实现了2维温度场的并行计算,并对比分析了不同网格数量对并行效率的影响。最后,在此基础上提出了根据不同仿真条件的混合并行计算方法,并应用到大型油浸式变压器绕组模型的2维温升热点分析中。结果表明,相较于串行程序,混合有限元并行计算方法的加速比达到了69.5,实验测试结果进一步验证了并行计算结果的准确性,研究成果为大型油浸式变压器流-热耦合问题的快速计算奠定了基础。In order to solve the problem of low efficiency of two-dimensional fluid-thermal coupling simulation of oil-immersed transformer,a parallel calculation method based on hybrid finite element method was proposed.Firstly,the serial calculation method of dimensionless least squares finite element method and upwind finite element method is implemented by C++language in Visual Studio 2019.Then,the parallel computation of fluid field is realized based on graphic processing unit(GPU),and the parallel computation efficiency of different GPU cards under different grid conditions is compared and analyzed according to the single differentiated turns model.The analysis results show that the larger the data scale is,the more the GPU card stream processors will be,and the better the parallel effect will be.Secondly,based on Intel MKL and open multi-processing(OpenMP),the parallel computation of two-dimensional temperature field is realized,and the influence of different number of grids on the parallel efficiency is compared and analyzed.Finally,a hybrid parallel calculation method based on different simulation conditions is proposed and applied to the analysis of the two-dimensional temperature rise hot spot of the winding model of large oil-immersed transformer.The results show that,compared with the serial program,the speedup ratio of the hybrid finite element parallel calculation method reaches 69.5.The experimental results further verify the accuracy of the parallel calculation results,and the research results lay a foundation for the rapid calculation of the flow-thermal coupling problem of large oil-immersed transformers.

关 键 词：变压器绕组 混合有限元 热点 并行计算 加速比 

分 类 号：TM411[电气工程—电器]