非线性时谐电磁场电路耦合的高速实心转子感应电机电磁场有限元建模和分析
打开文本图片集
关键词：高速实心转子感应电机；时谐场；有限元；场路耦合；非线性DOI：10. 15938/j. emc.2025.11.008中图分类号：TM341 文献标志码：A 文章编号：1007-449X（2025）11-0077-11
Modelling and analysis of high-speed solid-rotor induction machine by nonlinear time harmonic field electric circuit coupled finite element analysis
DI Chong， WANG Junhao， LI Rongze， BAO Xiaohua School of Electrical Engineering and Automation，Hefei Universityof Technology，Hefei 23Oo09，China
Abstract：A high-precision and rapid 2D electromagnetic field modeling method considering material nonlinearity characteristics through field-circuit coupled finite element analysis was proposed for high-speed solid-rotor induction motors.Firstly，the electromagnetic field diffusion equations in diferent physical domains of the motor were systematically derived.The Galerkin method was employed to transform these diffusion equations into linear equation systems by element analysis，with detailed computational methods explicitly provided for element stiffess matrices，mass matrices，and load vectors in the field-circuit coupled finite element calculation process.For time-harmonic field analysis，sinusoidal processing of nonlinear materials in stator and rotor was implemented based on magnetic energy equivalence principle to enhance computational accuracy of electromagnetic performance. By combining Newton-Raphson iteration method，complex equation systems in time-harmonic field were transformed into real-number equations. The Newton-Raphson iterative scheme for solving equations was thoroughly derived，including explicit formulation of its Jacobian matrix，thereby realizing rapid solutionof field-circuit coupled time-harmonic field considering material nonlinearity.Finall，a dedicated solver library for field-circuit coupled analysis of high-speed solid rotor induction motors was developed. Systematic electromagnetic performance analysis and modeling were conducted on a prototype motor using this library，effectively validating the accuracy and reliability of the proposed algorithm.
Keywords：high-speed solid-rotor induction machine; time harmonic field; finite element analysis ； field-circuit coupled ； nonlinearity
0引言
高速实心转子感应电机凭借其成本低廉、加工制造方便、起动转矩大和机械强度好的特点，备受高速压缩机、飞轮储能和航空航天等领域的青睐[1-5]高速实心转子感应电机的转子由实心钢构成，其兼具导电和导磁特性。（剩余14832字）
