Effect exponentially distributed trapped charge jump transport on energy storage performance in polyetherimide nanocomposite dielectric

Song Xiao-Fan; Min Dao-Min; Gao Zi-Wei; Wang Po-Xin; Hao Yu-Tao; Gao Jing-Hui; Zhong Li-Sheng

doi:10.7498/aps.73.20230556

Abstract

With the development of science and technology, polymer dielectric capacitors are widely used in energy, electronics, transportation, aerospace, and many other areas. For polymer dielectric energy storage capacitors to remain effective in practical applications, excellent charge and discharge performance is essential. However, the performance of the common polymer dielectric capacitors will deteriorate rapidly at high temperature, which makes them fail to work efficiently under worse working conditions. Dielectric trap energy levels and trap densities increase when nanoparticles are incorporated into the dielectric. The change in trap parameters will affect carrier transport. Therefore, the high temperature energy storage performance of polymer nanocomposite dielectric can be improved by changing the trap parameters to regulate the carrier transport process. However, the quantitative relationship between trap energy level and trap density and the energy storage properties of nanocomposite dielectric need further studying. In this paper, the energy storage and release model for exponentially distributed trapped charge jump transport in linear polymer nanocomposite dielectrics is constructed and simulated. The volume resistivity and electric displacement-electric field loops of pure polyetherimide are simulated at 150 ℃, and the simulation results match the experimental results, which demonstrates the validity of the model. Following that, under different temperatures and electric fields, the current density, electric displacement-electric field loops, discharge energy density and charge-discharge efficiency of polyetherimide nanocomposite dielectric are simulated by using different trap parameters. The results show that increasing the maximum trap energy level and the total trap density can effectively reduce the carrier mobility, current density and conductivity loss, and enhance the discharge energy density and the charge-discharge efficiency of the nanocomposite dielectric. On condition that temperature is 150 ℃ and applied electric field is 550 kV/mm, the polyetherimide nanocomposite dielectric with a maximum trap energy level of 1.0 eV and a total trap density of 1×10²⁷ m^–3, has 4.26 J·cm^–3 of discharge energy density and 98.93% of energy efficiency. Compared with pure polyetherimide, the rate of improvement is 91.09% and 227.58%, respectively. The energy storage performance under high temperature and high electric field is obviously improved. It provides theoretical and model support for the research and development of capacitors with high temperature resistance and energy storage performance.

Keywords:

Authors and contacts

State Key Laboratory of Electrical Insulation and Power Equipment, Xi’an Jiaotong University, Xi’an 710049, China

Corresponding author: Min Dao-Min, forrestmin@foxmail.com ; Gao Jing-Hui, gaojinghui@xjtu.edu.cn ;

Funds: Project supported by the National Natural Science Foundation of China (Grant No. 52077162), the Joint Fund of the National Natural Science Foundation of China and the China Academy of Engineering Physics (Grant No. U1830131), and the State Key Laboratory of Electrical Insulation and Power Equipment, China (Grant No. EIPE22301).

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References

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图 1 指数分布陷阱电荷跳跃输运过程的储能与释能模型示意图

Figure 1. Schematic diagram of energy storage and release model.

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图 2 (a)恒定电压波形; (b)三角电压波形

Figure 2. (a) Constant voltage waveform and (b) external triangular voltage waveform.

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图 3 (a)纯PEI薄膜的实验测量^[10,22]与仿真计算的体积电阻率; (b)仿真计算出纯PEI薄膜在不同电场下的电位移矢量-电场强度回线; (c)最大电位移和残余电位移仿真结果与实验结果^[10,22]对比

Figure 3. (a) Comparison of experimental volume resistivities^[10,22] and simulation results of pure PEI film; (b) simulation results of the D-E loops of pure PEI film under different electric fields; (c) comparison of simulation results of D_max and D_r and experiments^[10,22].

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图 4 (a)在150 ℃, 总陷阱密度为3×10²⁶ m^–3、具有不同最深陷阱能级PEI纳米复合电介质下的D_r随外施电场变化关系; (b)在550 kV/mm, 最深陷阱能级为0.8 eV、具有不同总陷阱密度PEI纳米复合电介质的D_r随温度变化关系

Figure 4. (a) Dependence between D_r and applied electric fields in PEI nanocomposite dielectrics with different deepest trap levels at the total trap density of 3×10²⁶ m^–3 and 150 ℃; (b) dependence between D_r and temperatures in PEI nanocomposite dielectrics with different total trap densities at the deepest trap level of 0.8 eV and 500 kV/mm.

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图 5 各温度下, 不同陷阱参数PEI纳米复合电介质的电流密度-时间特性

Figure 5. Current density time characteristics of PEI nanocomposite dielectric with different trap parameters at various temperatures.

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图 6 在150 ℃, 外施电场为200 kV/mm 和总陷阱密度为3×10²⁶ m^–3下, 最深陷阱能级分别为0.8 eV (a), 0.9 eV (b)和1.0 eV (c) 的空间电荷分布

Figure 6. Space charge distribution with the deepest trap energy levels of 0.8 eV (a), 0.9 eV (b), and 1.0 eV (c) at 150 ℃, 200 kV/mm, and the total trap density of 3×10²⁶ m^–3, respectively.

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图 7 在150 ℃, 最深陷阱能级分别为1.0 eV的放电能量密度-电场强度和充放电效率-电场强度特性

Figure 7. The discharged energy density and the energy efficiency characteristics at 150 ℃ and the deepest trap level of 1.0 eV.

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图 8 不同陷阱参数下PEI纳米复合电介质的放电能量密度　(a) 100 ℃, 650 kV/mm; (b) 125 ℃, 600 kV/mm; (c) 150 ℃, 550 kV/mm

Figure 8. The discharge energy density of PEI nanocomposite dielectric under different trap parameters: (a) 100 ℃, 650 kV/mm; (b) 125 ℃, 600 kV/mm; (c) 150 ℃, 550 kV/mm.

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图 9 不同陷阱参数下PEI纳米复合电介质的充放电效率　(a) 100 ℃, 650 kV/mm; (b) 125 ℃, 600 kV/mm; (c) 150 ℃, 550 kV/mm

Figure 9. The energy efficiency of PEI nanocomposite dielectric under different trap parameters: (a) 100 ℃, 650 kV/mm; (b) 125 ℃, 600 kV/mm; (c) 150 ℃, 550 kV/mm.

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表 1 指数分布陷阱电荷跳跃输运的PEI纳米复合电介质储能与释能模型参数设置

Table 1. Parameter setting of energy storage and release model for PEI nanocomposite dielectric with exponentially distributed trap jump transport.

参数	值
温度/℃	100—150
总陷阱密度/m^–3	3×10²⁶—1×10²⁷
最深陷阱能级/eV	0.8—1.0
指数分布形状参数/K	1200
外施电场强度/(kV·mm^–1)	100—650 (100 ℃) 100—600 (125 ℃) 100—550 (150 ℃)

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[1]	Miao W J, Chen H X, Pan Z B, Pei X L, Li L, Li P, Liu J J, Zhai J W, Pan H 2021 Compos. Sci. Technol. 201 108501 Google Scholar
[2]	Zhou Y, Yuan C, Wang S J, Zhu Y J, Cheng S, Yang X, Yang Y, Hu J, He J L, Li Q 2020 Energy Stor. Mater. 28 255 Google Scholar
[3]	Ren W B, Pan J Y, Dan Z K, Zhang T, Jiang J Y, Fan M Z, Hu P H, Li M, Lin Y H, Nan C W, Shen Y 2021 Chem. Eng. J. 420 127614 Google Scholar
[4]	Li H, Ai D , Ren L L , Yao B, Han Z B, Shen Z H, Wang J J , Chen L Q , Wang Q 2019 Adv. Mater. 31 1900875
[5]	李琦, 李曼茜 2021 高电压技术 47 3105 Google Scholar LI Q, LI M Q 2021 High Volt. Eng. 47 3105 Google Scholar
[6]	Li Z Z, Treich G M, Tefferi M, Wu C, Nasreen S, Scheirey S K, Ramprasad R, Sotzing G A, Cao Y 2019 J. Mater. Chem. A 7 15026 Google Scholar
[7]	Li H, Liu F H, Fan B Y, Ai D, Peng Z R, Wang Q 2018 Small Methods 2 1700399 Google Scholar
[8]	查俊伟, 黄文杰, 杨兴, 万宝全, 郑明胜 2023 高电压技术 49 1055 Google Scholar Zha J W, Huang W J, Yang X, Wan B Q, Zheng M S 2023 High volt. Eng. 49 1055 Google Scholar
[9]	Chi Q G, Zhou Y H, Feng Y, Cui Y, Zhang Y, Zhang T D, Chen Q G 2020 Mater. Today Energy 18 100516 Google Scholar
[10]	Yuan C, Zhou Y, Zhu Y J, Liang J J, Wang S J, Peng S M, Li Y S, Cheng S, Yang M C, Hu J, Zhang B, Zeng R, He J L, Li Q 2020 Nat. Commun. 11 3919 Google Scholar
[11]	Ren L L, Qiao J Q, Wang C, Zheng W Y, Li H, Zhao X T, Yang L J, Liao R J 2022 Mater. Today Energy 30 101161 Google Scholar
[12]	Fan Z H, Zhang Y Y, Jiang Y, Luo Z M, He Y B, Zhang Q F 2022 J. Mater. Res. Technol. 18 4367 Google Scholar
[13]	Chen H X, Pan Z B, Wang W L, Chen Y Y, Xing S, Cheng Y, Ding X P, Liu J J, Zhai J W, Yu J H 2021 Compos. Part A Appl. Sci. Manuf. 142 106266 Google Scholar
[14]	Min D M, Ji M Z, Li P X, Gao Z W, Liu W F, Li S T, Liu J 2021 IEEE Trans. Dielectr. Electr. Insul. 28 2011 Google Scholar
[15]	Kuik M, Koster L J, Wetzelaer G A, Blom P W 2011 Phys. Rev. Lett. 107 256805 Google Scholar
[16]	Sun B Z, Hu P H, Ji X M, Fan M Z, Zhou L, Guo M F, He S, Shen Y 2022 Small 18 e2202421 Google Scholar
[17]	Ding X P, Pan Z B, Cheng Y, Chen H X, Li Z C, Fan X, Liu J J, Yu J H, Zhai J W 2023 Chem. Eng. J. 453 139917 Google Scholar
[18]	Hoang A T, Serdyuk Y V, Gubanski S M 2016 Polymers 8 103 Google Scholar
[19]	Kao K C 2004 Dielectric Phenomena in Solids (San Diego: Elsevier Academic Press
[20]	Jakobs A, Kehr K W 1993 Phys. Rev. B 48 8780 Google Scholar
[21]	金维芳 1997 电介质物理学 (北京: 机械工业出版社) Jin W F 1997 Dielectric Physics (Beijing: China Machine Press
[22]	Li Q, Chen L, Gadinski M R, Zhang S H, Zhang G Z, Li H U, Iagodkine E, Haque A, Chen L Q, Jackson N T, Wang Q 2015 Nature 523 576 Google Scholar
[23]	Lewis T J 1994 IEEE Trans. Dielectr. Electr. Insul. 1 812 Google Scholar
[24]	Yang M Z, Ren W B, Guo M F, Shen Y 2022 Small 18 e2205247 Google Scholar
[25]	Li H, Ren L L, Ai D, Han Z B, Liu Y, Yao B, Wang Q 2019 InfoMat 2 389 Google Scholar
[26]	Akram S, Yang Y, Zhong X, Bhutta S, Wu G N, Castellon J, Zhou K 2018 IEEE Trans. Dielectr. Electr. Insul. 25 1461 Google Scholar
[27]	马超, 闵道敏, 李盛涛, 郑旭, 李西育, 闵超, 湛海涯 2017 物理学报 66 067701 Google Scholar Ma C, Min D M, Li S T, Zheng X, Li X Y, Min C, Zhan H X 2017 Acta Phys. Sin. 66 067701 Google Scholar
[28]	查俊伟, 查磊军, 郑明胜 2023 物理学报 72 018401 Google Scholar Zha J W, Zha L J, Zheng M S 2023 Acta Phys. Sin. 72 018401 Google Scholar
[29]	Ding X P, Pan Z B, Zhang Y, Shi S H, Cheng Y, Chen H X, Li Z C, Fan X, Liu J J, Yu J H, Zhai J W 2022 Adv. Mater. Interfaces 9 2201100 Google Scholar
[30]	Ren L L, Yang L J, Zhang S Y, Li H, Zhou Y, Ai D, Xie Z L, Zhao X T, Peng Z R, Liao R J, Wang Q 2021 Compos. Sci. Technol. 201 108528 Google Scholar
[31]	Boufayed F, Teyssèdre G, Laurent C, Le Roy S, Dissado L A, Ségur P, Montanari G C 2006 J. Appl. Phys. 100 104105 Google Scholar
[32]	Yan J J, Wang J, Zeng J Y, Shen Z H, Li B W, Zhang X, Zhang S J 2022 J. Mater. Chem. C 10 13157 Google Scholar

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