摘要
如何在保证模拟精度的基础上,提升逆磁滞模型的计算速度一直以来是国际电磁场领域研究的热点问题。然而,现有所提逆磁滞模型难以兼顾精度与速度的双重要求。解析形式的逆磁滞模型具有较快的求解速度,如何提出高精度的此类模型是解决上述问题的关键所在。为此,该文利用课题组所提基于解析Everett函数推导而得的解析正Preisach磁滞模型,分别推导了初始磁化曲线、磁滞回线下降支与上升支的磁导率的解析表达式,继而利用差分法,推导得到了目前唯一一个解析的逆Preisach磁滞模型。通过对比仿真与实验结果,验证了所提解析逆Preisach磁滞模型的模拟精度,并在模拟精度与计算速度两方面将其与广泛应用的逆J-A磁滞模型进行对比,发现它的平均相对误差比逆J-A磁滞模型小10%以上,且其计算速度约为逆J-A磁滞模型的2.67倍。
The complex nonlinear hysteresis characteristics of soft magnetic materials significantly impact the energy losses,multi-physics field,and other properties of electrical equipment.Thus,it is crucial to accurately simulate the hysteresis loops of the soft magnetic materials.Under this circumstance,many hysteresis models,such as the well-known Preisach and Jiles-Atherton(J-A)models,have been developed.As the FEA problem of the electrical equipment is usually formulated by magnetic vector potential,making the magnetic flux density B the output of the differential equations,the inverse hysteresis models are more in demand.The inverse Preisach model is usually viewed as the most accurate among all the inverse hysteresis models.However,it involves complex integral operations,so its computation cost is high.As a result,it is not practical in electrical engineering,which makes the accurate analytical inverse Preisach model inheriting low computation cost more desired.In this paper,to our knowledge,an analytical inverse Preisach model,the only one among all of the Preisach models,is developed and proposed.Firstly,the analytical expressions of permeability of the initial magnetization curve,ascending and descending segments of the hysteresis loop are obtained using our proposed analytical forward Preisach hysteresis model based on the analytical Everett function.The analytical inverse Preisach hysteresis model,as shown in Eq.(1),is derived with the difference method.A grain-oriented silicon steel sample and a non-oriented silicon steel sample are selected to measure their hysteresis loops at different flux density levels.The simulated hysteresis loops and the measured ones are compared.It is shown that the predicted hysteresis loops agree with the measured ones.Additionally,each calculated hysteresis loss(the area enclosed by the corresponding simulated hysteresis loop)is compared with the measured one,which also tests the accuracy of our proposed model.Besides,the average relative error of the analytical inverse Preisach
作者
刘任
杜莹雪
李琳
唐波
Liu Ren;Du Yingxue;Li Lin;Tang Bo(Hubei Provincial Engineering Technology Research Center for Power Transmission Line China Three Gorges University,Yichang 443002 China;College of Electrical Engineering and New Energy China Three Gorges University,Yichang 443002 China;Huawei Beijing R&D Centre,Beijing 100085 China;State Key Laboratory of Alternate Electrical Power System with Renewable Energy Sources North China Electric Power University,Beijing 102206 China)
出处
《电工技术学报》
EI
CSCD
北大核心
2023年第10期2567-2576,共10页
Transactions of China Electrotechnical Society
基金
湖北省教育厅科学技术研究计划青年人才项目(Q20221205)
宜昌市科技计划项目(A23-4-09)资助。
