盘式永磁涡流驱动器的电磁-温度耦合解析模型
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摘要
提出盘式永磁涡流驱动器的电磁-温度耦合解析模型,用于进行电磁场解析计算和温度场分析。首先,基于分离变量法建立三维电磁场解析模型用于计算磁场分布,推导转矩和涡流损耗表达式。然后,将涡流损耗作为热源,基于等效热网络法建立温度分析计算模型。电磁-温度耦合解析模型的计算是考虑材料电磁和温度特性随温度变化,通过温度迭代过程实现的。最后,利用该文提出的电磁-温度耦合解析模型,分析转矩、涡流损耗、永磁体和铜盘温升随负载的变化,并分析结构参数对转矩的影响。将解析模型结果与有限元和实验结果进行对比,证明解析模型的合理性和正确性。
A novel electromagnetic-thermal analytical model is presented to calculate electromagnetic field analytically and analyze the temperature field. The 3-D magnetic field analytical model is established in cylindrical coordinate to calculate the magnetic field distribution, then torque and eddy current loss can be obtained. Furthermore, with the help of the equivalent thermal resistance network method, a thermal model is established by taking the eddy current loss as the heat source, which is the eddy current loss of copper. The electromagnetic-thermal analytical model calculation is realized through the temperature iteration process, taking the change of material electromagnetic and thermal characteristics under temperature into consideration. With the help of the electromagnetic-thermal model,the influence of various loads on torque, eddy current loss, permanent magnet and copper temperature rise is analyzed under the whole working range. And the relationship between the torque and geometrical parameters is analyzed. The analytical predicted results are compared with the results of finite element method(FEM) and measurement. The comparison results confirm the validity of the electromagnetic–thermal analytical model.
A novel electromagnetic-thermal analytical model is presented to calculate electromagnetic field analytically and analyze the temperature field. The 3-D magnetic field analytical model is established in cylindrical coordinate to calculate the magnetic field distribution, then torque and eddy current loss can be obtained. Furthermore, with the help of the equivalent thermal resistance network method, a thermal model is established by taking the eddy current loss as the heat source, which is the eddy current loss of copper. The electromagnetic-thermal analytical model calculation is realized through the temperature iteration process, taking the change of material electromagnetic and thermal characteristics under temperature into consideration. With the help of the electromagnetic-thermal model,the influence of various loads on torque, eddy current loss, permanent magnet and copper temperature rise is analyzed under the whole working range. And the relationship between the torque and geometrical parameters is analyzed. The analytical predicted results are compared with the results of finite element method(FEM) and measurement. The comparison results confirm the validity of the electromagnetic–thermal analytical model.
引文
[1]Mohammadi S,Mirsalim M,Vaez-Zadeh S,et al.Analytical modeling and analysis of axial-flux interior permanent-magnet couplers[J].IEEE Transactions on Industrial Electronics,2014,61(11):5940-5947.
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[4]Meng Zhuo,Zhu Zina,Sun Yize.3D analysis for the torque of permanent magnet coupler[J].IEEETransactions on Magnetics,2015,51(4):8002008.
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[6]Lubin T,Mezani S,Rezzoug A.Simple analytical expressions for the force and torque of axial magnetic couplings[J].IEEE Transactions on Energy Conversion2012,27(2):536-546.
[7]Lubin T,Rezzoug A.Steady-state and transient performance of axial-field eddy-current coupling[J].IEEE Transactions on Industrial Electronics,2015,62(4):2287-2296.
[8]Lubin T,Rezzoug A.3-D analytical model for axialflux eddy-current couplings and brakes under steadystate conditions[J].IEEE Transactions on Magnetics,2016,5(10):8203712.
[9]Li Zhao,Wang Dazhi,Zheng Di,et al.Analytical modeling and analysis of magnetic field and torque for novel axial flux eddy current couplers with PMexcitation[J].AIP Advances,2017,7(10):105303.
[10]时统宇,王大志,石松宁,等.盘式永磁涡流驱动器解析建模和分析[J].电工技术学报,2017,32(2):153-170.Shi Tongyu,Wang Dazhi,Shi Songning,et al.Analytical modeling and analysis of disk type permanent magnet eddy current driver[J].Transactions of China Electrotechnical Society,2017,32(2):153-170
[11]Chen Yunyun,Zhu Xiaoyong,Wang Lin.Performance analysis of a double-salient permanent-magnet double-rotor motor using electromagnetic-thermal coupling method[J].IEEE Transactions on Applied Superconductivity,2016,26(4):5205305.
[12]Zheng Di,Wang Dazhi,Li Shuo,et al.Eddy current loss calculation and thermal analysis of axial-flux permanent magnet couplers[J].AIP Advances,2017,7(2):025117.
[13]Virtic P,Pisek P,Hadziselimovic M,et al.Torque analysis of an axial flux permanent magnet synchronous machine by using analytical magnetic field calculation[J].IEEE Transactions on Magnetics,2009,45(3):1036-1039.
[14]寇宝泉,金银锡,张鲁,等.考虑端部效应的混合励磁直线涡流制动器解析模型[J].电工技术学报,2017,32(8):188-200.Kou Baoquan,Jin Yinxi,Zhang Lu,et al.Analytical model of hybrid excitation linear eddy current brake with considering end effects[J].Transactions of China Electrotechnical Society,2017,32(8):188-200.
[15]唐任远,陈萍,佟文明,等.考虑涡流反作用的永磁体涡流损耗解析计算[J].电工技术学报,2015,30(24):1-10.Tang Renyuan,Chen Ping,Tong Wenming,et al.Analytical calculation of eddy current loss accounting for eddy current reaction[J].Transactions of China Electrotechnical Society,2015,30(24):1-10.
[16]Mohammadi S,Mirsalim M,Vaez-Zadeh S.Nonlinear modeling of eddy-current couplers[J].IEEETransactions on Energy Conversion,2014,29(1):224-231.
[17]佟文明,孙文静,吴胜男.全封闭高速永磁电机转子结构对转子散热的影响[J].电工技术学报,2017,32(22):91-100.Tong Wenming,Sun Wenjing,Wu Shengnan.Effect of rotor structure on rotor dissipation for totallyenclosed high-speed permanent magnet motor[J].Transactions of China Electrotechnical Society,2017,32(22):91-100.
[18]Zhao Nannan,Zhu Z Q,Liu Weiguo.Rotor eddy current loss calculation and thermal analysis of permanent magnet motor and generator[J].IEEETransactions on Magnetic,2011,47(10):4199-4202.
[19]Rostami N,Feyzi M R,Pyrh?nen J,et al.Lumpedparameter thermal model for axial flux permanent magnet machines[J].IEEE Transactions on Magnetic2013,49(3):1178-1184.
[20]王晓远,高鹏.等效热网络法在轮毂电机温度场计算中的应用[J].电工技术学报,2016,31(16):26-33.Wang Xiaoyuan,Gao Peng.Application of equivalent thermal network method and finite element method in temperature calculation of in-wheel motor[J].Transactions of China Electrotechnical Society,201631(16):26-33.
[2]Min K C,Choi J Y,Kim J M,et al.Eddy-current loss analysis of noncontact magnetic device with permanent magnets based on analytical field calculations[J].IEEE Transactions on Magnetics,2015,51(11):8110304.
[3]Choi J Y,Shin H J,Jang S M,et al.Torque analysis and measurements of cylindrical air-gap synchronous permanent magnet couplings based on analytical magnetic field calculations[J].IEEE Transactions on Magnetics,2013,49(7):3921-3924.
[4]Meng Zhuo,Zhu Zina,Sun Yize.3D analysis for the torque of permanent magnet coupler[J].IEEETransactions on Magnetics,2015,51(4):8002008.
[5]Wang Jian,Lin Heyun,Fang Shuhua,et al.A general analytical model of permanent magnet eddy current couplings[J].IEEE Transactions on Magnetics,2014,50(1):8000109.
[6]Lubin T,Mezani S,Rezzoug A.Simple analytical expressions for the force and torque of axial magnetic couplings[J].IEEE Transactions on Energy Conversion2012,27(2):536-546.
[7]Lubin T,Rezzoug A.Steady-state and transient performance of axial-field eddy-current coupling[J].IEEE Transactions on Industrial Electronics,2015,62(4):2287-2296.
[8]Lubin T,Rezzoug A.3-D analytical model for axialflux eddy-current couplings and brakes under steadystate conditions[J].IEEE Transactions on Magnetics,2016,5(10):8203712.
[9]Li Zhao,Wang Dazhi,Zheng Di,et al.Analytical modeling and analysis of magnetic field and torque for novel axial flux eddy current couplers with PMexcitation[J].AIP Advances,2017,7(10):105303.
[10]时统宇,王大志,石松宁,等.盘式永磁涡流驱动器解析建模和分析[J].电工技术学报,2017,32(2):153-170.Shi Tongyu,Wang Dazhi,Shi Songning,et al.Analytical modeling and analysis of disk type permanent magnet eddy current driver[J].Transactions of China Electrotechnical Society,2017,32(2):153-170
[11]Chen Yunyun,Zhu Xiaoyong,Wang Lin.Performance analysis of a double-salient permanent-magnet double-rotor motor using electromagnetic-thermal coupling method[J].IEEE Transactions on Applied Superconductivity,2016,26(4):5205305.
[12]Zheng Di,Wang Dazhi,Li Shuo,et al.Eddy current loss calculation and thermal analysis of axial-flux permanent magnet couplers[J].AIP Advances,2017,7(2):025117.
[13]Virtic P,Pisek P,Hadziselimovic M,et al.Torque analysis of an axial flux permanent magnet synchronous machine by using analytical magnetic field calculation[J].IEEE Transactions on Magnetics,2009,45(3):1036-1039.
[14]寇宝泉,金银锡,张鲁,等.考虑端部效应的混合励磁直线涡流制动器解析模型[J].电工技术学报,2017,32(8):188-200.Kou Baoquan,Jin Yinxi,Zhang Lu,et al.Analytical model of hybrid excitation linear eddy current brake with considering end effects[J].Transactions of China Electrotechnical Society,2017,32(8):188-200.
[15]唐任远,陈萍,佟文明,等.考虑涡流反作用的永磁体涡流损耗解析计算[J].电工技术学报,2015,30(24):1-10.Tang Renyuan,Chen Ping,Tong Wenming,et al.Analytical calculation of eddy current loss accounting for eddy current reaction[J].Transactions of China Electrotechnical Society,2015,30(24):1-10.
[16]Mohammadi S,Mirsalim M,Vaez-Zadeh S.Nonlinear modeling of eddy-current couplers[J].IEEETransactions on Energy Conversion,2014,29(1):224-231.
[17]佟文明,孙文静,吴胜男.全封闭高速永磁电机转子结构对转子散热的影响[J].电工技术学报,2017,32(22):91-100.Tong Wenming,Sun Wenjing,Wu Shengnan.Effect of rotor structure on rotor dissipation for totallyenclosed high-speed permanent magnet motor[J].Transactions of China Electrotechnical Society,2017,32(22):91-100.
[18]Zhao Nannan,Zhu Z Q,Liu Weiguo.Rotor eddy current loss calculation and thermal analysis of permanent magnet motor and generator[J].IEEETransactions on Magnetic,2011,47(10):4199-4202.
[19]Rostami N,Feyzi M R,Pyrh?nen J,et al.Lumpedparameter thermal model for axial flux permanent magnet machines[J].IEEE Transactions on Magnetic2013,49(3):1178-1184.
[20]王晓远,高鹏.等效热网络法在轮毂电机温度场计算中的应用[J].电工技术学报,2016,31(16):26-33.Wang Xiaoyuan,Gao Peng.Application of equivalent thermal network method and finite element method in temperature calculation of in-wheel motor[J].Transactions of China Electrotechnical Society,201631(16):26-33.
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