Theoretical model and tunability optimization of magnetoelectric voltage tunable inductor

Nie Chang-Wen; Wu Han-Zhou; Wang Shu-Hao; Cai Yuan-Yuan; Song Shu; Sokolov Oleg; Bichurin M. I.; Wang Yao-Jin

doi:10.7498/aps.70.20210899

Abstract

Magnetoelectric voltage tunable inductor (ME-VTI) realizes the modulation of electric field to inductance based on magnetoelectric effect. Compared with other adjustable inductors, it has the advantages of low energy consumption, small volume, large tunability and continuity. However, previous reports on ME-VTI mainly focused on structure and magnetostrictive materials, resulting in the complexity of inductor structure and slight improvement of tunability. This study focuses on the influence of field-induced strain in piezoelectric materials on inductance tunability by constructing a theoretical model. The magnetoelectric laminate of Metglas/ PMN-PT single crystal /Metglas is employed as a magnetic core to design ME-VTI. The tunability is as high as 680% at 1 kHz, which is over 2.4 times larger than that of the Metglas/PZT/Metglas magnetic core. The quality factor of the PMN-PT based ME laminate reaches 15.6, which is 2.8 times higher than that of the PZT-based one. The proposed PMN-PT based ME-VTI provides an alternative approach for developing the integrated and miniaturized devices, and has an important prospect of application in the field of power electronics.

Keywords:

Authors and contacts

1.
School of Materials Science and Engineering, Nanjing University of Science and Technology, Nanjing 210094, China
2.
Department of Engineering Physics, Novgorod State University, Novgorod 173003, Russia

Corresponding author: Wang Yao-Jin, yjwang@njust.edu.cn

Funds: Project supported by the National Natural Science Foundation of China (Grant Nos. 520721178, 51911530120, 51790492, 11874032), the Fundamental Research Funds for the Central Universities, China (Grant No. 30920041119), and the Russian Foundation for Basic Research (Grant No. 19-07-00391).

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References

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Cited By

图 1 磁电电压可调电感器　(a) 应用示意图; (b) 结构示意图; (c) 逆磁电效应原理图; (d) (i)和(ii) 分别为电场作用时应变和磁导率的变化图; (e) 实物图; (f) PMN-PT基和PZT基磁电系数随偏置磁场的变化

Figure 1. Magnetoelectric voltage tunable inductor (ME-VTI): (a) Potential application and (b) structure of ME-VTI; (c) principle of inverse magnetoelectric effect; (d) the variation of (i) strain and (ii) permeability under electric field; (e) photo for a ME-VTI; (f) the ME voltage coefficient of the Metglas/PMN-PT/Metglas and Metglas/PZT/Metglas.

DownLoad: Full-Size Img PowerPoint

图 2 (a) (i)和(ii) 分别为PZT及PMN-PT的场致应变图和PMN-PT的相变示意图; (b) Metglas束缚时PZT和PMN-PT的场致应变图

Figure 2. (a) (i) Electric-field induced strain of PZT and PMN-PT and (ii) the phase transition of PMN-PT; (b) the electric-field induced strain of PZT and PMN-PT based ME composites.

DownLoad: Full-Size Img PowerPoint

图 3 (a)−(c)和(d)−(f) 分别为磁电电压可调电感器PZT基 (E-field up)、PMN-PT基(E-field up)、PMN-PT基 (E-field down)的电感频谱图和可调性频谱图; (g) 1 kHz时直流电场对PZT基和PMN-PT基电感的影响; (h) 1 kHz时PZT基和PMN-PT基的电感可调性

Figure 3. (a)−(c) Inductance and (d)−(f) tunable spectra of PZT based (E-field up), PMN-PT based (E-field up) and PMN-PT based (E-field down) ME-VTI, respectively; (g) inductance of PZT based and PMN-PT based ME-VTI as a function of the applied dc voltage at 1 kHz; (h) tunability γ of PZT based and PMN-PT based ME-VTI at 1 kHz.

DownLoad: Full-Size Img PowerPoint

图 4 (a)−(c) 磁电电压可调电感器PZT基(E-field up)、PMN-PT基(E-field up)、PMN-PT基 (E-field down)的品质因子频谱图

Figure 4. (a)−(c) Quality factor spectra of PZT based (E-field up), PMN-PT based (E-field up), and PMN-PT based (E-field down) ME-VTI.

DownLoad: Full-Size Img PowerPoint

图 5 (a) PZT基和 (b) PMN-PT基电场对电感的调控, 黑色的点代表实验数据, 红色的线代表理论曲线.

Figure 5. Variation of (a) PZT based and (b) PMN-PT based inductance under electric field, respectively. The black dots represent the experimental data, and the red line represents the theoretical curve.

DownLoad: Full-Size Img PowerPoint

图 6 (a) 各频率下PMN-PT基电压可调电感器电场对可调性的影响; (b) 1 kHz下PMN-PT基电压可调电感器电场对电感和可调性的影响; (c), (d) 分别为电场对应力和磁导率影响的模拟图

Figure 6. Influence of electric field of PMN-PT based ME-VTI on (a) tunability at various frequencies; (b) influence of electric field of PMN-PT based ME-VTI on inductance and tunability at 1 kHz; simulation of electric field dependent (c) stress and (d) permeability, respectively.

DownLoad: Full-Size Img PowerPoint

[1]	Yan Y K, Geng L W D, Tan Y H, Ma J H, Zhang L J, Sanghadasa M, Ngo K, Ghosh A W, Wang Y U, Priya S 2018 Nat. Commun. 9 4998 Google Scholar
[2]	Peng B, Zhang C, Yan Y, Liu M 2017 Phys. Rev. Appl. 7 044015 Google Scholar
[3]	Zhang J, Chen D, Filippov D A, Li K, Zhang Q, Jiang L, Zhu W, Cao L, Srinivasan G 2018 Appl. Phys. Lett. 113 113502 Google Scholar
[4]	Zhang J, Chen D, Filippov D A, Zhang Q, Li K, Hang X, Ge B, Cao L, Srinivasan G 2019 IEEE Trans. Magn. 55 7 Google Scholar
[5]	Liu G, Zhang Y, Ci P, Dong S 2013 J. Appl. Phys. 114 064107 Google Scholar
[6]	杨娜娜, 陈轩, 汪尧进 2018 物理学报 67 157508 Google Scholar Yang N N, Chen X, Wang Y J 2018 Acta Phys. Sin. 67 157508 Google Scholar
[7]	俞斌, 胡忠强, 程宇心, 彭斌, 周子尧, 刘明 2018 物理学报 67 157507 Google Scholar Yu B, Hu Z Q, Cheng Y X, Peng B, Zhou Z Y, Liu M 2018 Acta Phys. Sin. 67 157507 Google Scholar
[8]	Lin H, Lou J, Gao Y, Hasegawa R, Liu M, Howe B, Jones J, Brown G, Sun N X 2015 IEEE Trans. Magn. 51 1 Google Scholar
[9]	Yan Y, Geng L, Zhang L, Tu C, Sri Ramdas R M, Liu H, Li X, Sanghadasa M, Ngo K D T, Wang Y U, Priya S 2020 IEEE Trans. Ind. Electron. 12 44981 Google Scholar
[10]	Lou J, Reed D, Liu M, Sun N X 2016 Appl. Phys. Lett. 94 112508 2016 Appl. Phys. Lett. 94 112508 Google Scholar
[11]	Liu G, Cui X, Dong S 2010 J. Appl. Phys. 108 094106 Google Scholar
[12]	Geng L, Yan Y, Priya S, Wang Y U 2020 ACS Applied Mater. Interfaces 12 44981 Google Scholar
[13]	Geng L W D, Yan Y K, Priya S, Wang Y U 2017 Acta Mater. 140 97 Google Scholar
[14]	Geng L D, Yan Y, Priya S, Wang Y U 2019 Acta Mater. 166 493 Google Scholar
[15]	Geng L D, Yan Y, Priya S, Wang Y U 2020 Phys. Rev. B 101 054422 Google Scholar
[16]	Ma F D, Jin Y M, Wang Y U, Kampe S L, Dong S 2014 Acta Mater. 70 45 Google Scholar
[17]	Wang Y, Wang Z, Ge W, Luo C, Li J, Viehland D, Chen J, Luo H 2014 Phys. Rev. B 90 134107 Google Scholar
[18]	Wang Y, Wen X, Jia Y, Huang M, Wang F, Zhang X, Bai Y, Yuan G, Wang Y 2020 Nat. Commun. 11 1328 Google Scholar
[19]	李飞, 张树君, 徐卓 2020 物理学报 69 217703 Google Scholar Li F, Zhang S J, Xu Z 2020 Acta Phys. Sin. 69 217703 Google Scholar
[20]	Chu Z, Shi H, Shi W, Liu G, Wu J, Yang J, Dong S 2017 Adv Mater. 29 1606022 Google Scholar
[21]	Wang Y J, Gray D, Berry D, Gao J Q, Li M H, Li J F, Viehland D 2011 Adv. Mater. 23 4111 Google Scholar
[22]	Liu G, Ci P, Dong S 2014 Appl. Phys. Lett. 104 032908 Google Scholar
[23]	Chu Z, PourhosseiniAsl M, Dong S 2018 J. Phys. D: Appl. Phys. 51 243001 Google Scholar
[24]	Wang Y, Li J, Viehland D 2014 Mater. Today 17 269 Google Scholar
[25]	Chu Z, Dong C, Tu C, He Y, Liang X, Wang J, Wei Y, Chen H, Gao X, Lu C, Zhu Z, Lin Y, Dong S, McCord J, Sun N X 2019 Phys. Rev. Appl. 12 044001 Google Scholar
[26]	王慧, 徐萌, 郑仁奎 2020 物理学报 69 017301 Google Scholar Wang H, Xu M, Zheng R K 2020 Acta Phys. Sin. 69 017301 Google Scholar
[27]	Li M, Wang Y, Hasanyan D, Li J, Viehland D 2012 Appl. Phys. Lett. 100 132904 Google Scholar
[28]	Wang Y, Wang D, Yuan G, Ma H, Xu F, Li J, Viehland D, Gehring P M 2016 Phys. Rev. B 94 174103 Google Scholar
[29]	Wang D, Yuan G, Luo H, Li J, Viehland D, Wang Y 2017 J. Am. Ceram. Soc. 100 4938 Google Scholar
[30]	Yan Y K, Geng L W D, Zhang L J, Gao X Y, Gollapudi S, Song H C, Dong S X, Sanghadasa M, Ngo K, Wang Y U, Priya S 2017 Sci. Rep. 7 16008 Google Scholar

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