基于分数阶导数理论的高频变压器铁芯动态J-A磁滞模型  

Dynamic J-A hysteresis model of high frequency transformer core based on fractional derivative theory

作　　者：罗炜[1] 陈煜敏 钱海[1] 岑宝仪 秦小彬 陈彬 LUO Wei;CHEN Yumin;QIAN Hai;CEN Baoyi;QIN Xiaobin;CHEN Bin(China Southern Power Grid International Co.,Ltd.,Guangzhou 510630,China;China Southern Power Grid Digital Power Grid Technology(Guangdong)Co.,Ltd.,Guangzhou 510520,China;CET Electric Technology Inc.,Shenzhen 518000,China;College of Electrical Engineering and New Energy,Three Gorges University,Yichang 443002,China;Hubei Provincial Engineering Technology Research Center for Power Transmission Line,Yichang 443002,China)

机构地区：[1]中国南方电网有限责任公司,广东广州510630 [2]南方电网数字电网科技(广东)有限公司,广东广州510520 [3]深圳市中电电力技术股份有限公司,广东深圳518000 [4]三峡新能源平山发电有限公司,河北石家庄050400 [5]湖北省输电线路工程技术研究中心,湖北宜昌443002

出　　处：《供用电》2024年第6期90-96,共7页Distribution & Utilization

基　　金：国家自然科学基金青年科学基金项目(52107006);湖北省自然科学基金面上项目(2021CFB149)。

摘　　要：快速、准确地仿真高频变压器铁芯磁性材料在高频下的磁滞特性,对于电工设备能量传输效率的评估及多目标结构优化具有重要的意义。而传统动态J-A磁滞模型在高频段动态磁滞回线的仿真误差较大,且存在损耗计算值高于实测值的问题。首先在损耗统计理论框架内,基于各损耗分量与场分量的等效关系,考虑了高频不均匀磁通密度产生的涡流损耗,推导了传统涡流场及剩余损耗场的解析式。通过引入R-L分数阶导数来修正传统的涡流场,并将修正后的涡流场和剩余损耗场引入到静态J-A磁滞模型,从而构建了一种基于损耗统计理论及分数阶导数理论的新型动态J-A磁滞模型。对2种磁性材料进行了较高频段的动态磁滞回线仿真,并与实测值进行了比较,结果表明所提模型在动态磁滞回线模拟及损耗计算误差均大大降低。The rapid and accurate simulation of the hysteresis characteristics of high-frequency transformer core magnetic materials at high frequencies is of great significance for the evaluation of energy transmission efficiency and multi-objective structural optimization of electrical equipment.However,the traditional dynamic J-A hysteresis model has a big simulation error for high-frequency dynamic hysteresis loop.Firstly,within the framework of loss statistics theory,based on the equivalent relationship between each loss component and the field component,the analytical expressions of the traditional eddy current field and the residual loss field are derived in the theoretical framework of loss statistics.Using R-L fractional derivative to modify the traditional eddy current field,and introducing the modified eddy current field and residual loss field into the static J-A hysteresis model,a new dynamic J-A hysteresis model based on loss statistics theory and fractional derivative theory is constructed.The dynamic hysteresis loop simulation of two kinds of magnetic materials in higher frequency band is carried out and compared with the measured values.The results show that the errors of dynamic hysteresis loop simulation and loss calculation of the proposed model are greatly reduced.

关 键 词：动态J-A磁滞模型 R-L分数阶导数 场分离 损耗统计理论 高频变压器 

分 类 号：TM271[一般工业技术—材料科学与工程]