改进的磁元件圆导线绕组高频损耗模型
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摘要
绕组损耗是磁性元件设计的关键,传统计算绕组高频涡流损耗的理论方法有Dowell模型和Bessel函数。随着功率变换器工作频率的提高以及多股绞线的应用,这些方法将带来很大的误差。通过深入分析涡流的集肤和邻近效应在圆导体上所产生的电流密度分布特性,提出一种改进的绕组高频损耗模型,能够更精确地计算高频下圆导体绕组的损耗。通过有限元仿真和样品测试验证了所提出模型的精度。
Winding losses are critical in the design of high-frequency magnetic components. Traditional analytical methods, such as Dowell model and Bessel function have been used to compute winding high frequency eddy current losses.However, as the operation frequency of power converter increasing and multi-strain litz wires widely used, these methods bring much error. By the deep analysis for the distribution properties of eddy currents on the round conductor caused by skin effect and proximity effect, an improved analytical model is proposed which will get the winding losses more accuracy. Finite element simulations and sample tests have effectively verified the accuracy of the proposed model.
Winding losses are critical in the design of high-frequency magnetic components. Traditional analytical methods, such as Dowell model and Bessel function have been used to compute winding high frequency eddy current losses.However, as the operation frequency of power converter increasing and multi-strain litz wires widely used, these methods bring much error. By the deep analysis for the distribution properties of eddy currents on the round conductor caused by skin effect and proximity effect, an improved analytical model is proposed which will get the winding losses more accuracy. Finite element simulations and sample tests have effectively verified the accuracy of the proposed model.
引文
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[6]Wallmeier P.Improved analytical modeling of conductive losses in gapped high-frequency inductors[J].IEEETransactions on Industry Applications,2001,37(4):1045-1054.
[7]Cheng K W E,Evans P D.Calculation of winding losses in high frequency toroidal inductors using multistrand conductors[J].IEE Proceedings-Electric Power Applications,1995,142(5):313-322.
[8]Hurley W G,Gath E,Breslin J G.Optimizing the ACresistance of multilayer transformer windings with arbitrary current waveforms[J].IEEE Transactions on Power Electronics,2000,15(2):369-376.
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[10]Ferreira J A.Analytical computation of AC resistance of round and rectangular Litz wire windings[J].IEEProceedings B-Electric Power Applications,1992,139(1):21-25.
[11]Ferreira J A.Improved analytical modeling of conductive losses in magnetic components[J].IEEE Transactions on Power Electronics,1994,9(1):127-131.
[12]Nan Xi,Sullivan C R.An equivalent complex permeability model for litz-wire windings[J].IEEETransactions on Industry Applications,2009,45(2):854-860.
[13]Chari M,Csendes Z J.Finite element analysis of the skin effect in current carrying conductors[J].IEEETransactions on Magnetics,1977,13(5):1125-1127.
[14]Nan Xi,Sullivan C R.An improved calculation of proximity-effect loss in high-frequency windings of round conductors[C]//Proceedings of the 34th Annual Conference on Power Electronics Specialist.Acapulco:IEEE,2003.
[15]Nan Xi,Sullivan C R.Simplified high-accuracy calculation of eddy-current loss in round-wire windings[C]//Proceedings of the 35th Annual Power Electronics Specialists Conference.Aachen:IEEE,2004.
[16]Hurley W G,Walfle W H.Transformers and inductors for power electronics:theory,design and applications[M].United Kingdom:John Wiley&Sons Ltd,2013:228-229.
[2]Hudgins J L.Power electronic devices in the future[J].IEEE Journal of Emerging and Selected Topics in Power Electronics,2013,1(1):11-17.
[3]She Xu,Huang A Q,Lucíaó,et al.Review of silicon carbide power devices and their applications[J].IEEETransactions on Industrial Electronics,2017,64(10):8193-8205.
[4]钱照明,张军明,盛况.电力电子器件及其应用的现状和发展[J].中国电机工程学报,2014,34(29):5149-5161.Qian Zhaoming,Zhang Junming,Sheng Kuang.Status and development of power semiconductor devices and its applications[J].Proceedings of the CSEE,2014,34(29):5149-5161(in Chinese).
[5]Dowell P L.Effects of eddy currents in transformer windings[J].Proceedings of the Institution of Electrical Engineer,1966,113(8):1387-1394.
[6]Wallmeier P.Improved analytical modeling of conductive losses in gapped high-frequency inductors[J].IEEETransactions on Industry Applications,2001,37(4):1045-1054.
[7]Cheng K W E,Evans P D.Calculation of winding losses in high frequency toroidal inductors using multistrand conductors[J].IEE Proceedings-Electric Power Applications,1995,142(5):313-322.
[8]Hurley W G,Gath E,Breslin J G.Optimizing the ACresistance of multilayer transformer windings with arbitrary current waveforms[J].IEEE Transactions on Power Electronics,2000,15(2):369-376.
[9]旷建军,阮新波,任小永.集肤和邻近效应对平面磁性元件绕组损耗影响的分析[J].中国电机工程学报,2006,26(5):170-175.Kuang Jianjun,Ruan Xinbo,Ren Xiaoyong.Analysis of skin and proximity effects on winding losses in planar magnetic components[J].Proceedings of the CSEE,2006,26(5):170-175(in Chinese).
[10]Ferreira J A.Analytical computation of AC resistance of round and rectangular Litz wire windings[J].IEEProceedings B-Electric Power Applications,1992,139(1):21-25.
[11]Ferreira J A.Improved analytical modeling of conductive losses in magnetic components[J].IEEE Transactions on Power Electronics,1994,9(1):127-131.
[12]Nan Xi,Sullivan C R.An equivalent complex permeability model for litz-wire windings[J].IEEETransactions on Industry Applications,2009,45(2):854-860.
[13]Chari M,Csendes Z J.Finite element analysis of the skin effect in current carrying conductors[J].IEEETransactions on Magnetics,1977,13(5):1125-1127.
[14]Nan Xi,Sullivan C R.An improved calculation of proximity-effect loss in high-frequency windings of round conductors[C]//Proceedings of the 34th Annual Conference on Power Electronics Specialist.Acapulco:IEEE,2003.
[15]Nan Xi,Sullivan C R.Simplified high-accuracy calculation of eddy-current loss in round-wire windings[C]//Proceedings of the 35th Annual Power Electronics Specialists Conference.Aachen:IEEE,2004.
[16]Hurley W G,Walfle W H.Transformers and inductors for power electronics:theory,design and applications[M].United Kingdom:John Wiley&Sons Ltd,2013:228-229.