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变长分段直线感应电机数学建模

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变长分段直线感应电机参数具有不连续、快速时变及强耦合特性,这给电磁暂态建模带来挑战.该文引入3种时变因子推导出具有参数时变特性的变长分段直线感应电机数学表达式.通过分析变长分段直线感应电机定子与动子的电磁耦合特性及时变因子与状态变量之间的耦合关系,建立定子、动子及时变因子相互解耦的数学模型.仿真结果表明,该数学模型计算的电压、电流和速度与有限元计算结果差别小于6%,验证了数学模型的准确性.硬件在环实验结果表明,在高速工况下数学模型可以准确模拟系统的电磁暂态特性,验证了数学模型的解耦能力及数值运算稳定性.
Mathematical Model of Variable-length Segmented Linear Induction Motor
The variable length segmented linear induction motor(VLS-LIM)parameters are featured with discontinuous,rapid time-varying,and strong coupling,which poses challenges to transient electromagnetic modeling.This paper introduces three time-varying factors and derives analytical expressions of VLS-LIM with time-varying properties.A mathematical model is established by analyzing the electromagnetic coupling characteristics between the stator and mover and the coupling relationship between the time-varying factors and state variables.Simulation results show that the mathematical model's voltage,current,and speed differ from the finite element calculation by less than 6%,verifying the accuracy of the proposed mathematical model.Hardware-in-the-loop experiments show that the mathematical model accurately characterizes the complex electromagnetic transient under high-speed working conditions,verifying the model's decoupling ability and calculation stability.

variable length segmentedlinear induction motortime-varying factorsdecouplingmathematical model

徐飞、李子欣、孔甘霖、史黎明、李耀华

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中国科学院电力电子与电气驱动重点实验室(中国科学院电工研究所),北京市 海淀区 100190

中国科学院大学,北京市 石景山区 100049

齐鲁中科电工先进电磁驱动技术研究院,山东省 济南市 250100

变长分段 直线电机 时变因子 解耦 数学建模

中国科学院稳定支持基础研究领域青年团队计划

YSBR-045

2024

中国电机工程学报
中国电机工程学会

中国电机工程学报

CSTPCD北大核心
影响因子:2.712
ISSN:0258-8013
年,卷(期):2024.44(13)
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