基于T-ψ有限元法的多目标函数变压器优化设计  

Multi-Objective Optimization Design of Transformer Base on T-ψFinite Element Method

作　　者：杨新生[1] 张云鹏 徐桂芝[1] 张长庚[1] 傅为农[3] Yang Xinsheng;Zhang Yunpeng;Xu Guizhi;Zhang Changgeng;Fu Weinong(State Key Laboratory of Reliability and Intelligence of Electrical Equipment Hebei University of Technology ,Tianjin 300130 China;School of Mechatronic Engineering and Automation Shanghai University, Shanghai 200444 China;Department of Electrical Engineering The Hong Kong Polytechnic University, Hong Kong 999077 China)

机构地区：[1]省部共建电工装备可靠性与智能化国家重点实验室(河北工业大学),天津300130 [2]上海大学机电工程与自动化学院,上海200444 [3]香港理工大学电机工程系,香港999077

出　　处：《电工技术学报》2021年第S01期75-83,共9页Transactions of China Electrotechnical Society

基　　金：河北工业大学联合培养博士研究生项目(2017HW0007);国家自然科学基金项目(51807048,51977058);上海市青年科技英才扬帆计划(20YF1412600)资助。

摘　　要：随着电网容量和电压等级的不断提高,用户对电力变压器优化设计提出了更高的要求,该文基于矢量电位-标量磁位(T-ψ)有限元法(FEM)对变压器拓扑结构进行多目标函数优化设计,旨在提高变压器性能、降低制造成本。变压器设计涉及多参量多目标函数,故采用改进型广义差分进化算法(GED3)实现快速全局寻优。由于每个优选案例都需要采用有限元法对变压器性能参数进行验证,花费时间较长。为了减少变压器仿真验证所需时间,故在保证精度的前提下,寻优过程中采用较粗网格,待最优案例确定后,采用密网格与有限元法相结合对变压器各项性能参数加以对比验证分析。挑选最优案例与未优化变压器各项参数进行对比,优化后的变压器铜损降低4.5%,铁损增加0.81%,但总损耗降低3.62%,制造成本降低3.89%。且在采用粗细网格下,无载损耗误差为0.825%,为工程应用中可接受范围,验证了该文方法的正确性,且该方法可应用于其他电工装备优化设计中。With rapid increase in capacity and voltage grade of power grid,higher requirement of optimal design of transformer is carried out by clients.In this paper,the optimization design of topology structure of transformer is implemented with the constraints of multi-objective function optimization based on vector potential-scalar magnetic T-ψfinite element method(FEM)to improve transformer performance and reduce cost.Due to the transformer optimization design involves multi-parameters and multi-objective function,an improved generalized differential evolution 3(GDE3)is employed to achieve fast global optimization.Because of per candidate requires the FEM to verify the characteristics of transformer,which is time cost.In order to reduce the time required for transformer simulation verification,under the premise of ensuring accuracy,a coarser mesh is adopted in the search for excellence,and after the optimal case is determined,the performance parameters of the transformer are compared and verified by combining the refined mesh with finite element method.Compared with the parameters of the original transformer,the copper loss is reduced by 4.5%,the iron loss is increased by 0.81%,but the total loss was reduced by 3.62%and the manufacturing cost is reduced by 3.89%.Adopting the refine mesh,the error of core loss is 0.825%,which is an acceptable range of the engineering application,to verify the correct and validity of this method,and this method also can be applied to optimized design of other electrical equipment.

关 键 词：变压器 有限元法 多目标函数 改进型广义差分进化算法 优化设计 

分 类 号：TM402[电气工程—电器]