Abstract:Due to their excellent electric-field control and low-loss characteristics, semiconductor electric shielding materials have attracted increasing attention in the design of medium-voltage, medium- and high- frequency transformers, particularly in applications requiring high power density and compact structures. Such shields are typically used to mitigate electric-field stress and enhance insulation reliability. Theoretically, a grounded semiconductor shield, owing to its finite conductivity, can maintain an equipotential surface, effectively divert displacement currents, and suppress regions of high field strength. However, recent engineering practice and experimental results indicate that under high dv/dt conditions—especially when the excitation voltage is supplied by a pulse-width modulation (PWM) converter—the equipotential characteristic of a grounded semiconductor shield may be compromised. In such cases, significant potential differences can arise across different locations within the shield, leading to high potentials relative to adjacent grounded components, such as the transformer core. In narrow air-gap regions, this potential difference may trigger dielectric breakdown, leading to severe insulation failure. This paper investigates the shielding performance of semiconductor materials under high dv/dt PWM voltage stress. A generalized resistor-capacitor (RC) equivalent model is developed for a typical medium-voltage transformer structure. The model incorporates key components affecting voltage distribution, including the high-voltage winding, insulating medium, semiconductor shield, air-gap region, and core. Then, approximate analytical expressions for the shield voltage under both sinusoidal and PWM excitations are derived. Numerical simulations are performed in COMSOL Multiphysics to validate the analytical model and assess parameter sensitivity. The study examines the influence of winding excitation voltage, shield surface resistivity, insulation permittivity, and air-gap size on shielding performance. Simulation results show that under sinusoidal excitation, increasing the voltage amplitude or frequency moderately increases the shield voltage. Still, it remains significantly lower than the winding voltage, indicating effective electric-field suppression. In contrast, under PWM excitation, the peak shield voltage is largely insensitive to the switching frequency itself but strongly and positively correlated with the dv/dt of the PWM waveform edges. A higher dv/dt produces a greater transient shield voltage peak, substantially exceeding that observed under sinusoidal conditions. It underscores the importance of assessing shielding performance in medium- and high-frequency PWM converter applications, where dv/dt can be several orders of magnitude higher than in power-frequency systems. Experimental validation is performed using a half-bridge converter test platform and simplified transformer models incorporating semiconductor shields with different surface resistivities. Comparative measurements confirm the theoretical and simulation results. Based on the theoretical, simulation, and experimental studies, practical guidelines are proposed for shield material selection, surface resistivity optimization, and insulation coordination design, ensuring that electric field strength requirements are met in critical narrow-gap regions. This paper provides references for the performance limiting evaluation of semiconductor shields and the proper application of wide-bandgap devices in medium-voltage systems.
夏伟, 张风娟, 丰昊, 冉立. 高dv/dt下中压中/高频变压器半导体电屏蔽层的电场抑制性能[J]. 电工技术学报, 2026, 41(10): 3411-3422.
Xia Wei, Zhang Fengjuan, Feng Hao, Ran Li. Electric Field Suppression Performance of Semiconductor Shielding in Medium Frequency Medium Voltage Transformers Subjected to High dv/dt Voltage. Transactions of China Electrotechnical Society, 2026, 41(10): 3411-3422.
[1] 黄萌, 舒思睿, 李锡林, 等. 面向同步稳定性的电力电子并网变流器分析与控制研究综述[J]. 电工技术学报, 2024, 39(19): 5978-5994. Huang Meng, Shu Sirui, Li Xilin, et al.A review of synchronization-stability-oriented analysis and control of power electronic grid-connected converters[J]. Transactions of China Electrotechnical Society, 2024, 39(19): 5978-5994. [2] 王延杰, 林潮彬, 徐国智, 等. 配电网新能源消纳能力评估与工程应用研究[J]. 电气传动, 2024, 54(6): 67-75. Wang Yanjie, Lin Chaobin, Xu Guozhi, et al.Evaluation of absorption and consumption ability of distribution networks for new energy generations and engineering application[J]. Electric Drive, 2024, 54(6): 67-75. [3] 朱介北, 李峰, 俞露杰, 等. 基于固态变压器的互联交直流微电网功率互济自主控制[J]. 电网技术, 2023, 47(1): 284-295. Zhu Jiebei, Li Feng, Yu Lujie, et al.Autonomous power mutual support control for AC/DC microgrid interconnected by solid state transformer[J]. Power System Technology, 2023, 47(1): 284-295. [4] 傅明利, 王威望, 赵小军, 等. 大功率高频变压器关键技术与发展趋势[J]. 高电压技术, 2024, 50(10): 4377-4387. Fu Mingli, Wang Weiwang, Zhao Xiaojun, et al.Key issues and development prospects in high power high-frequency transformer[J]. High Voltage Engin- eering, 2024, 50(10): 4377-4387. [5] 潘建宇, 杜翊豪, 林文琦, 等. 非对称方波调制下模块化多电平固态变压器传输功率建模与特性分析[J]. 电工技术学报, 2024, 39(24): 7793-7806. Pan Jianyu, Du Yihao, Lin Wenqi, et al.Power modeling and operation characteristics of modular multilevel converter-H solid state transformer under asymmetric square wave modulation[J]. Transactions of China Electrotechnical Society, 2024, 39(24): 7793-7806. [6] 赵剑, 张哲, 李召端, 等. 三端口CLLC固态变压器的设计与优化[J]. 电工技术学报, 2024, 39(23): 7542-7553. Zhao Jian, Zhang Zhe, Li Zhaoduan, et al.Design and optimization of three-port CLLC solid-state trans- former[J]. Transactions of China Electrotechnical Society, 2024, 39(23): 7542-7553. [7] 罗新元, 李贵良, 唐标, 等. 一种多模块高电压固态变压器的研制[J]. 电力电子技术, 2023, 57(1): 15-18. Luo Xinyuan, Li Guiliang, Tang Biao, et al.Deve- lopment of a multi-module high voltage solid state transformer[J]. Power Electronics, 2023, 57(1): 15-18. [8] 尚星宇, 庞磊, 卜钦浩, 等. 大功率高频变压器绝缘问题研究综述[J]. 中国电机工程学报, 2024, 44(8): 3306-3327. Shang Xingyu, Pang Lei, Bu Qinhao, et al.Research review on insulation issues of high-power high- frequency transformers[J]. Proceedings of the CSEE, 2024, 44(8): 3306-3327. [9] 赵志刚, 白若南, 陈天缘, 等. 基于智能优化算法的高频变压器电磁结构优化设计[J]. 电工技术学报, 2024, 39(18): 5610-5625. Zhao Zhigang, Bai Ruonan, Chen Tianyuan, et al.Optimization design of electromagnetic structure of high frequency transformer based on intelligent optimization algorithm[J]. Transactions of China Electrotechnical Society, 2024, 39(18): 5610-5625. [10] Zhu Shilong, Shao Shuai, Awais M, et al.Design of a high-voltage-insulation and high-efficiency medium frequency transformer[C]//IECON 2020 The 46th Annual Conference of the IEEE Industrial Electronics Society, Singapore, 2020: 4091-4095. [11] Chen Yichen, Chen Wu, Cao Zhenkai, et al.Practical design of a dry-type 200 kVA 10 kHz transformer with nanocrystalline core[C]//2021 IEEE Sustainable Power and Energy Conference (iSPEC), Nanjing, China, 2021: 3330-3335. [12] Mogorovic M, Dujic D.100 kW, 10 kHz medium- frequency transformer design optimization and experi- mental verification[J]. IEEE Transactions on Power Electronics, 2019, 34(2): 1696-1708. [13] 王佳宁, 邹强, 胡嘉汶, 等. 一种中压绝缘大功率中频变压器的优化设计方法[J]. 电工技术学报, 2022, 37(12): 3048-3060. Wang Jianing, Zou Qiang, Hu Jiawen, et al.An optimal design method for medium-voltage insulated high-power medium-frequency transformer[J]. Transa- ctions of China Electrotechnical Society, 2022, 37(12): 3048-3060. [14] Guo Zhicheng, Sen S, Rajendran S, et al.Design of a 200 kW medium-frequency transformer (MFT) with high insulation capability[C]//2020 IEEE Energy Conversion Congress and Exposition (ECCE), Detroit, MI, USA, 2020: 3471-3477. [15] Nations M, Bhattacharya S.A 100kHz 15kW planar DAB converter transformer for medium voltage solid state transformer applications[C]//2024 IEEE Energy Conversion Congress and Exposition (ECCE), Phoenix, AZ, USA, 2024: 6635-6641. [16] 王威望, 罗宇靖, 关子凌, 等. 高功率密度中高频变压器绝缘与散热研究进展与展望[J]. 高电压技术, 2024, 50(10): 4388-4406. Wang Weiwang, Luo Yujing, Guan Ziling, et al.Research progress and technical prospect in insulation and heat dissipation of high power density medium- high frequency transformer[J]. High Voltage Engin- eering, 2024, 50(10): 4388-4406. [17] 刘学, 赵鲁, 马呈瑶, 等. 纳米晶高频变压器漏磁通磁芯涡流损耗分析[J]. 电气传动, 2025, 55(3): 27-34. Liu Xue, Zhao Lu, Ma Chengyao, et al.Analysis of core eddy current loss caused by leakage flux in nanocrystalline high-frequency transformer[J]. Electric Drive, 2025, 55(3): 27-34. [18] 赵玉顺, 戴义贤, 庄加才, 等. 基于热固耦合的中频变压器绝缘材料性能参数优化配合方法[J]. 电工技术学报, 2023, 38(4): 1051-1063. Zhao Yushun, Dai Yixian, Zhuang Jiacai, et al.Optimization of insulation material performance parameters for medium frequency transformers based on thermosolid coupling[J]. Transactions of China Electrotechnical Society, 2023, 38(4): 1051-1063. [19] 苟建民, 谢晔源. 基于双有源全桥拓扑直流变压器中中频变压器的绝缘问题及处理[J]. 电工技术学报, 2021, 36(增刊2): 755-760. Gou Jianmin, Xie Yeyuan.Insulation problems and treatment of intermediate frequency transformer in DC transformer based on double active full bridge topology[J]. Transactions of China Electrotechnical Society, 2021, 36(S2): 755-760. [20] International Electrotechnical Commission.IEC 62477-2: 2018, Safety requirements for power electronic converter systems and equipment-part 2: power electronic converters from 1 000 V AC or 1 500 V DC up to 36 kV AC or 54 kV DC[S]. Geneva: IEC, 2018. [21] Stranges M K W, Stone G C, Bogh D L. Voltage endurance testing[J]. IEEE Industry Applications Magazine, 2009, 15(6): 12-18. [22] Li Zheqing, Hsieh E, Li Qiang, et al.High-frequency transformer design with medium-voltage insulation for resonant converter in solid-state transformer[J]. IEEE Transactions on Power Electronics, 2023, 38(8): 9917-9932. [23] 卢睿. 中压高频变压器的绝缘应力柔化与综合优化设计方法研究[D]. 杭州: 浙江大学, 2023. Lu Rui.Insulation stress soften and optimization design for medium voltage high-frequency transfor- mer[D]. Hangzhou: Zhejiang University, 2023. [24] Guillod T, Krismer F, Kolar J W.Electrical shielding of MV/MF transformers subjected to high dv/dt PWM voltages[C]//2017 IEEE Applied Power Electronics Conference and Exposition (APEC), Tampa, FL, USA, 2017: 2502-2510. [25] 孔心怡, 张建文, 周剑桥, 等. 多中压交流端口级联桥式电力电子变压器[J]. 中国电机工程学报, 2022, 42(23): 8664-8675. Kong Xinyi, Zhang Jianwen, Zhou Jianqiao, et al.A multiple medium voltage AC-ports cascaded H-bridge power electronic transformer[J]. Proceedings of the CSEE, 2022, 42(23): 8664-8675. [26] Li Zixin, Wang Ping, Chu Zunfang, et al.A three- phase 10 kV AC-750 V DC power electronic trans- former for smart distribution grid[C]//2013 15th European Conference on Power Electronics and Applications (EPE), Lille, France, 2013: 1-9. [27] Zhao Yikun, Zhang Guoqiang, Guo Runrui, et al.The breakdown characteristics of thermostable insulation materials under high-frequency square waveform[J]. IEEE Transactions on Dielectrics and Electrical Insulation, 2019, 26(4): 1073-1080.