磁感定义与复磁路相量分析  

Magnetic Inductance Definition and Phasor Analysis of Complex Magnetic Circuit

作　　者：林鹤云[1] 王烜 郑鑫磊 LIN Heyun;WANG Xuan;ZHENG Xinlei(School of Electrical Engineering,Southeast University,Nanjing 210096,Jiangsu Province,China)

机构地区：[1]东南大学电气工程学院,江苏省南京市210096

出　　处：《中国电机工程学报》2024年第19期7784-7793,I0025,共11页PROCEEDINGS OF THE CHINESE SOCIETY FOR ELECTRICAL ENGINEERING

基　　金：江苏省重大成果转化资金项目(BA2022109,BA2022114)。

摘　　要：该文以变压器为例,分别建立并联和串联两种形式的等效正弦交变复磁路模型,相应地给出两种磁感的不同定义和物理意义,并比较各自的优劣势。首先,以相量图的形式分析不同负载性质等效复磁路中各物理量的相位关系,并在磁感定义的基础上完善磁路与电路的类比关系;其次,推导任意负载下等效电路有功和无功功率与类比复磁路中等效电路中虚拟有功和无功功率的数值关系;然后,以同步发电机为例,利用基于磁感的等效复磁路分析交流电机中定转子磁场的相互作用,分别基于等效复磁路和有限元方法分析一个变压器算例,验证理论分析的正确性;最后,给出研究结论,并据此客观地分析基于磁感的复磁路的作用。In this article,equivalent sinusoidal alternating complex magnetic circuit models in parallel and series are respectively established by taking transformer as an example.The two different definitions and physical meanings of magnetic inductance are given accordingly,and their advantages and disadvantages are compared.The phase relationships of the physical quantities in the complex magnetic circuit with different property loads are analyzed in the form of phasor diagram,and the analog relationship between magnetic circuit and electric circuit is improved on the basis of magnetic inductance definition.The numerical relationships between the active and reactive powers of equivalent electric circuit and the virtual active and reactive powers of the analog complex magnetic circuit under arbitrary load are derived.By taking synchronous generator as an example,the equivalent complex magnetic circuit based on magnetic induction is used to analyze the interaction of stator and rotor magnetic fields in AC machines.A transformer example is respectively analyzed by the equivalent complex magnetic circuit method and finite element method to verify the correctness of the theoretical analysis in this article.Based on the research work of this article,some valuable conclusions are drawn,and the functions of complex magnetic circuit based on magnetic inductance are analyzed objectively.

关 键 词：电磁场 类比 磁感 复磁路 电功率 虚拟磁功率 变压器 电机 

分 类 号：TM143[电气工程—电工理论与新技术]