参考文献

[1]OERSTED H C.Selected Scientific Works of Hans Christian ∅rsted:Experiments on the Effect of the Electric Conflict on the Magnetic Needle [M].Princeton:Princeton University Press, 1998.

[2]TIKKANEN A.Heinrich Daniel Ruhmkorff [EB/OL].[2009-10-22].https://www.britannica.com/biography/Heinrich-Daniel-Ruhmkorff.

[3]WHELAN M, ROCKWELL S, BLALOCK T.William Stanley Jr:Pioneer of the transformer and alternating current(AC)distribution [EB/OL], https://edisontechcenter.org/WilliamStanley.html.

[4]LODGE O.The Alternate Current Transformer [J].Nature 42, 1890, 49-50.

[5]刘晓晶.非晶和纳米晶合金高频变压器磁芯和绕组的特性研究[D].天津：河北工业大学，2016.

[6]朱英浩.中国配电变压器的历史回顾与发展趋势[C]//中国供电国际会议论文集，2001：435-437.

[7]KEN SHIRRIFF.真空管被遗忘的对手[J].科技纵览，2022，4.

[8]ALEXANDERSON E F W, NIXDORFF S P.A Magnetic Amplifier for Radio Telephony [J].Proceedings of the Institute of Radio Engineers, 1916, 4(2):101-120.

[9]WILSON T G.The evolution of power electronics [J].IEEE Transactions on Power Electronics, 2000, 15(13):439-446.

[10]华仔.基于磁放大器的ATX电源的设计[EB/OL].[2016-8-10].https://tech.hqew.com/fangan_108659.

[11]DOWELL P L.Effects of eddy currents in transformer windings [J].Proceedings of the Institution of Electrical Engineers, 1966, 113(8):1387-1394.

[12]FERREIRA J A.Appropriate modelling of conductive losses in the design of magnetic components [C]// 21st Annual IEEE Conference on Power Electronics Specialists,San Antonio,TX,USA,1990:780-785.

[13]LAMMERANER JIRI, šTAFL MILOS.Eddy currents [M].Florida:The Chemical Rubber Company(CRC)Press, 1966.

[14]HOWE G W O.The high-frequency resistance of multiply-stranded insulated wire [J].Proceedings of the Royal Society A:Mathematical, Physical and Engineering Sciences, 1917, 93(654):468-492.

[15]FERREIRA J A, WYK J D V.A new method for the more accurate determination of conductor losses in power electronic converter magnetic components [C]// IEEE International Conference on Power Electronics and Variable speed Drives, London, 1988.

[16]KUTKUT N H.A simple technique to evaluate winding losses including two-dimensional edge effects[J].IEEE Transactions on Power Electronics, 1998, 13(5):950-958.

[17]REATTI A, KAZIMIERCZUK M.Comparison of various methods for calculating the AC resist ance of inductors [J].IEEE Transactions on Magnetics, 2002, 38(3):1512-1518.

[18]SHEN Z, WANG H.Parasitics of orthocyclic windings in inductors and transformers[J].IEEE Transactions on Power Electronics, 2021, 36(2):1994-2008.

[19]LEUENBERGER D,BIELA J.Semi-numerical method for loss-calculation in foil-windings exposed to an air-gap field [C]// 2014 International Power Electronics Conference (IPEC-Hiroshima 2014-ECCE ASIA),Hiroshima,Japan,2014:868-875.

[20]WALLMEIER P.Improved analytical modeling of conductive losses in gapped high-frequency inductors [J].IEEE Transactions on Industry Applications, 2001, 37(4):1045-1054.

[21]CHEN W,HUANG X,ZHENG J.Improved winding loss theoratical calculation of magnetic component with air-gap [C]// Proceedings of The 7th International Power Electronics and Motion Control Conference,Harbin,China,2012:471-475.

[22]EWALD T, BIELA J.Analytical winding loss and inductance models for gapped inductors with litz or solid wires[J].IEEE Transactions on Power Electronics, 2022, 37(12):15127-15139.

[23]New England Wire.Our history with litz wire[EB/OL].https://litzwire.com/our-history-with-litz-wire/.

[24]SULLIVAN C.R.Optimal choice for number of strands in a litz-wire transformer winding [J].IEEE Transactions on Power Electronics, 1999, 14(2):283-291.

[25]MARIAN K.KAZIMIERCZUK.High-frequency magnetic components [M].Hoboken:Wiley, 2009.

[26]BAYLISS R S,YANG R S,HANSON A J,et al.Design,Implementation,and Evaluation of High-Efficiency High-Power Radio-Frequency Inductors [C]// 2021 IEEE Applied Power Electronics Conference and Exposition (APEC),Phoenix,AZ,USA,2021:881-888.

[27]HURLEY W G, WILCOX D J.Calculation of leakage inductance in transformer windings [J].IEEE Transactions on Power Electronics, 1994, 9(1):121-126.

[28]BAHMANI M A, THIRINGER T.Accurate Evaluation of Leakage Inductance in High-Frequency Transformers Using an Improved Frequency-Dependent Expression [J].IEEE Transactions on Power Electronics, 2015, 30(10):5738-5745.

[29]TAN W, MARGUERON X, TAYLOR L, et al.Leakage Inductance Analytical Calculation for Planar Components With Leakage Layers[J].IEEE Transactions on Power Electronics, 2016, 31(6):4462-4473.

[30]DONG Z, REN R, LIU B, et al.Data-driven Leakage Inductance Modeling of Common Mode Chokes[C].2019 IEEE Energy Conversion Congress and Exposition(ECCE), Baltimore, MD, USA, 2019, pp.6641-6646, doi:10.1109/ECCE.2019.8913069.

[31]ZHANG K, CHEN W, CAO X, et al.Accurate calculation and sensitivity analysis of leakage inductance of high-frequency transformer with litz wire winding [J].IEEE Transactions on Power Electronics, 2020, 35(4):3951-3962.

[32]STEINMETZ C P.On the law of hysteresis [J].American Institute of Elecfrical Engineers Transactions,1892,9:344.

[33]REINERT J, BROCKMEYER A, DONCKER D R.Calculation of losses in ferro-and ferrimagnetic materials based on the modified steinmetz equation [J].IEEE Transactions on Industry Applications, 2001, 37(4):1055-1061.

[34]LI J,ABDALLAH T,SULLIVAN C R.Improved calculation of core loss with nonsinusoidal waveforms [C]// Annual Meeting of the IEEE Industry Applications Society,2001:2203-2210.

[35]VENKATACHALAM K, SULLIVAN C R, ABDALLAH T, et al.Accurate prediction of ferrite core loss with nonsinusoidal waveforms using only Steinmetz parameters [C]// IEEE Workshop on Computers in Power Electronics(COMPEL)2002, 2002.

[36]LI Z, HAN W, XIN Z, et al.A Review of Magnetic Core Materials, Core Loss Modeling and Measurements in High-Power High-Frequency Transformers [J].CPSS Transactions on Power Electronics and Applications, 2022, 7(4):359-373.

[37]DRUDE P.Zur Construction von Teslatransformatoren.Schwingungsdauer und Selbstinduction von Drahtspulen[J].Annalen der Physik, 1902, 314(10):293-339.

[38]THOMPSON J L,STIGANT S A.Overvoltages in transformers due to the self-capacity of the windings[J].Elect.Rev,1915,76:25-37.

[39]LENZ W.Capacity inductance and resistance of coils[J].Ann.der Phys.,1912,37:923.

[40]BREIT G.The distributed capacity of inductance coils[J].Physical Review, 1921, 17(6):649.

[41]PALERMO A J.Distributed capacity of single-layer coils[J].Proceedings of the institute of radio engineers, 1934, 22(7):897-905.

[42]Schröder, W.Berechnung der Eigenschwingungen der doppellagigen langen Spule[J].Archiv f.Elektrotechnik 11, 1922, 203-229.

[43]ZUHRT H.Simple approximate formulas for the self capacitance of multi-layer coils[J].Elekrotech.Zeitschrift,1934,55:662-665.

[44]KOCH J.Berechnung der kapazitat von spulen, insbesondere in schalenkernen[J].Valvo Berichte., 1968, 14(3):99-119.

[45]DUERDOTH W T.Equivalent capacitances of transformer windings[J].Wireless Eng, 1946, 23(161-167).

[46]COGITORE B,KERADEC J P,BARBAROUX J.The Two Winding Transformer:an Experimental Method to Obtain a Wide Frequency Range Equivalent Circuit[J].European Space Power,1995,369:235.

[47]OSTERGAARD L.Modelling and simulation of the diode split transformer[M].Aalborg, Denmark:Aalborg Universitetsforlag, 2000.

[48]LIU C, QI L, CUI X, et al.Wideband mechanism model and parameter extracting for high-power high-voltage high-frequency transformers[J].IEEE Transactions on Power Electronics, 2015, 31(5):3444-3455.

[49]GRANDI G, KAZIMIERCZUK M K, MASSARINI A, et al.Stray capacitances of single-layer solenoid air-core inductors[J].IEEE Transactions on industry applications, 1999, 35(5):1162-1168.

[50]SAKET M A, SHAFIEI N, ORDONEZ M.LLC converters with planar transformers:Issues and mitigation[J].IEEE Transactions on power electronics, 2016, 32(6):4524-4542.

[51]SHEN, Z, WANG, H, SHEN, Y, et al.An Improved Stray Capacitance Model for Inductors[J].IEEE Transactions on Power Electronics, 2019, 34(11):11153-11170.

[52]SHEN Z, CHEN W, ZHAO H, et al.Core Energy Capacitance of NiZn Inductors[J].IEEE Transactions on Power Electronics, 2022.

[53]ZHAO H, YAN Z, LUAN S, et al.A Comparative Study on Parasitic Capacitance in Inductors With Series or Parallel Windings[J].IEEE Transactions on Power Electronics, 2022, 37(12):15140-15151.

[54]BIELA J, KOLAR J W.Using Transformer Parasitics for Resonant Converters—A Review of the Calculation of the Stray Capacitance of Transformers[J].IEEE Transactions on industry applications, 2008, 44(1):223-233.

[55]CUK S M, Robert D, Middlebrook.DC-to-DC switching converter:US4184197A[P].1977.

[56]CUK S M.Push-pull switching power amplifier:US4186437A [P].1978.

[57]CUK S M, Robert D, Middlebrook.DC-to-DC Converter having reduced ripple without need for adjustments:US4274133A [P].1981.

[58]CUK S M.DC-to-DC switching converter with zero input and output current ripple and integrated magnetics circuits:US4257087A [P].1981.

[59]BLOOM G E,SEVERNS R.The generalized use of integrated magnetics and zero-ripple techniques in switchmode power converters [C]//IEEE Power Electronics Specialists Conference,Gaithersburg,MD,USA,1984:15-33.

[60]BLOOM E.Core selection for & design aspects of an integrated-magnetic forward converter [C]//IEEE Applied Power Electronics Conference and Exposition,New Orleans,LA,USA,1986:141-150.

[61]BLOOM E.New integrated-magnetic DC-DC power converter circuits & systems [C]//2nd IEEE Applied Power Electronics Conference and Exposition,San Diego,CA USA,1987:57-66.

[62]SEVERNS R P, BLOOM G E.modern dc to dc switch mode power converter circuits[M].reprinted by e/j Bloom associates, Inc.

[63]SEVERNS R P, BLOOM G E.Modern dc to dc switch mode power converter circuits [M].New York:Van Nostrand Reinhold Company, 1985. mjM8TFPy1aAP6Iyj3XtopehWF5sZMbhHZEsDP1vnLmKudTQjKpOSmQZqPJJb99Te