考虑磁饱和的潜水感应电机励磁电感的解析计算  

Analytical Calculation of the Magnetizing Inductance of the Submersible Induction Machine Considering the Magnetic Saturation

作　　者：鲍晓华[1] 刘婕 关博凯 朱庆龙 Bao Xiaohua;Liu Jie;Guan Bokai;Zhu Qinglong(School of Electrical Engineering and Automation Hefei University of Technology,Hefei 230009 China;Anhui Key Laboratory of Large Submersible Pump and Equipment,Hefei 231131 China)

机构地区：[1]合肥工业大学电气与自动化工程学院,合肥230009 [2]大型潜水电泵及装备安徽省重点实验室,合肥231131

出　　处：《电工技术学报》2025年第8期2405-2417,共13页Transactions of China Electrotechnical Society

基　　金：国家自然科学基金(51977055);安徽省科技重大专项(201903a05020042)资助项目。

摘　　要：励磁电感作为稳态等效电路中励磁支路的主要参数,其准确求解对于潜水感应电机的电磁性能分析和驱动系统设计十分重要。该文提出一种基于主、漏磁路的层微元法计算不同转差下的励磁电感:主磁路计算得到感应电动势随励磁电流的变化曲线作为目标函数,漏磁路计算用于构建稳态等效电路中定子端电压表达式作为约束条件,利用约束条件在目标函数上确定励磁电感。在主、漏磁路的分析中,采用薄层微元等效理论积分,有效考虑齿槽结构、磁饱和等影响因素。以一台湿式潜水感应电机为例,分别采用提出的层微元法和传统磁链法进行励磁电感的解析计算,并进一步求解等效电路的稳态输出,通过样机试验以及齿磁路饱和情况下的有限元仿真验证方法的准确性。结果表明,层微元法比磁链法在齿磁路饱和时更有效地考虑铁心段的磁压降分布,励磁电感的计算更为准确,从而得出的等效电路稳态输出更接近有限元仿真结果。所提方法建立设计参数与励磁电感的直接联系,为潜水感应电机及其他各类电机的初始设计优化提供便利。The equivalent circuit is valuable for designing an induction machine and its driving system,and its parameters are essential for analyzing the electromagnetic performance and establishing the driving model,especially the magnetizing inductance that characterizes the main flux distribution in the machine.The finite element analysis can precisely determine the magnetizing inductance.However,it is unsuitable for the initial design stage when the design parameters need frequent adjustment.Traditional analytical calculations like the flux linkage method neglect the influence factors,such as core saturation,tooth-slot effect,and rotor movement in the actual operation,causing accuracy issues.The improved analytical calculation method can significantly enhance the accuracy.However,the magnetic circuit in each core segment still needs to be more accurate,and the local saturation points are easily ignored.Besides,the solving process contains nonlinear iterations of multi-segment of the magnetic circuit,which has repeating calculations under different slips.This paper proposes an elementary layer method based on the main and leakage magnetic circuits to calculate the magnetizing inductance.Firstly,the magnetic voltage drop of each pole of the main magnetic circuit under different air-gap flux densities is calculated,and the magnetic voltage drop and the air-gap flux density are converted into the electromotive force and the magnetizing current to obtain the objective function.Secondly,the distribution of the leakage flux in the stator slot and the current induced in the rotor bar is analyzed to calculate the slot leakage inductance of the stator and rotor,together with the rotor AC resistance.The stator terminal voltage expression is constructed as the constraint condition.Finally,each set of the electromotive force and the magnetizing current on the objective function are substituted into the constraint condition to make the results equal to the rated phase voltage of the stator.The ratio of the set is the value of the ma

关 键 词：励磁电感 磁饱和 潜水感应电机 层微元法 

分 类 号：TM346.2[电气工程—电机]