A Hybrid Distribution Transformer with H∞ Closed Loop Controller
Gao Yachen1,2, Liang Deliang1,2, Li Dawei1,2, Zhou Kun1,2, Liu Yibin1,2
1. State Key Laboratory of Electrical Insulation and Power Equipment Xi’an Jiaotong University Xi’an 710049 China; 2. Shaanxi Key Laboratory of Smart Grid Xi’an Jiaotong University Xi’an 710049 China
Abstract Aiming at improving the ability of hybrid distribution transformer (HDT), and solving voltage sags/swells and frequency variations that exist in power distribution system, this paper built the mathematical model of HDT in dq0 coordinates and a controller mathematical model based on Kalman filter and multi-variable regulation H∞ closed loop theory, then formulated its transfer function. Then a new HDT topology based on H∞ FF/FB controller was established and its mechanism was analyzed. Proposed type of HDT enables not only compensate voltage when sags/swell happens in power system, but also helps realize zero steady-error, better robustness and frequency variations of load side, which makes HDT could give better performance on the improvement of power quality. Finally the effectiveness of the proposed controller was verified on Matlab/Simulink platform.
Gao Yachen,Liang Deliang,Li Dawei等. A Hybrid Distribution Transformer with H∞ Closed Loop Controller[J]. Transactions of China Electrotechnical Society, 2021, 36(zk2): 688-695.
[1] 高荣, 寇鹏, 梁得亮, 等. 含混合式配电变压器的主动配电网电压鲁棒模型预测控制[J]. 中国电机工程学报, 2020, 40(7): 2081-2090, 2388. Gao Rong, Kou Peng, Liang Deliang, et al.Robust model predictive control for the voltage regulation in active distribution networks with hybrid distribution transformers[J]. Proceedings of the CSEE, 2020, 40(7): 2081-2090, 2388. [2] 潘超, 苏昊, 蔡国伟, 等. 变压器直流偏磁下异常电流表征振动特性研究[J]. 电工技术学报, 2020, 35(9): 1868-1879. Pan Chao, Su Hao, Cai Guowei, et al.Research on characterization of core vibration by abnormal current of DC bias transformer[J]. Transactions of China Electrotechnical Society, 2020, 35(9): 1868-1879. [3] 陈玉, 文明浩, 尹项根, 等. 配电变压器集成式级联STATCOM原理与设计[J]. 电工技术学报, 2018, 33(12): 2861-2872. Chen Yu, Wen Minghao, Yin Xianggen, et al.Principle and design of the cascaded STATCOM integrated with distribution transformer[J]. Transa-ctions of China Electrotechnical Society, 2018, 33(12): 2861-2872. [4] 付超, 高振, 孙玉巍, 等. 混合模块化直流固态变压器Ⅱ: 动态特性及快速响应控制[J]. 电工技术学报, 2019, 34(14): 2980-2989. Fu Chao, Gao Zhen, Sun Yuwei, et al.Hybrid modular direct current solid state transformer Ⅱ: dynamic characteristic and rapid response control[J]. Transactions of China Electrotechnical Society, 2019, 34(14): 2980-2989. [5] 梁得亮, 柳轶彬, 寇鹏, 等. 智能配电变压器发展趋势分析[J]. 电力系统自动化, 2020, 44(7): 1-18. Liang Deliang, Liu Yibin, Kou Peng, et al.Analysis of development trend for intelligent distribution transformer[J]. Automation of Electric Power Systems, 2020, 44(7): 1-18. [6] 王艺博, 蔡国伟, 刘闯, 等. 基于直接式AC/AC变换的单相混合式配电变压器及其松弛二端口网络建模[J]. 电网技术, 2020, 44(8): 3029-3038. Wang Yibo, Cai Guowei, Liu Chuang, et al.Direct AC/AC conversion based single-phase hybrid distri-bution transformer and its relaxed two-port network modeling[J]. Power System Technology, 2020, 44(8): 3029-3038. [7] Hunziker C, Lehmann J, Keller T, et al.Sustainability assessment of novel transformer technologies in distribution grid applications[J]. Sustainable Energy, Grids and Networks, 2020, 21(10): 2352-2362. [8] Liang Yang, Liang Deliang, Liu Yibin, et al.Quasi proportional-resonant control for the grid current of hybrid distribution transformer[J]. The Journal of Engineering, 2019(16): 1926-1929. [9] 窦春霞, 李娜, 徐晓龙. 基于多智能体系统的微电网分散协调控制策略[J]. 电工技术学报, 2015, 30(7): 125-134. Dou Chunxia, Li Na, Xu Xiaolong.Multi-agent system based decentralized coordinated control strategy for micro-grids[J]. Transactions of China Electrotechnical Society, 2015, 30(7): 125-134. [10] Li Tong, Yang Huabo, Tian Jiayi, et al.Improved disturbance rejection control based on H∞ synthesis and equivalent input-disturbance for aircraft longitu-dinal autopilot design[J]. Proceedings of the Insti-tution of Mechanical Engineers, 2019, 233(9): 3323-3335. [11] Liu Yibin, Liang Deliang, Kou Peng, et al.Com-pound control system of hybrid distribution trans-former[J]. IEEE Transactions on Industry Appli-cations, 2020, 56(6): 6360-6373. [12] Li G J, Lie T T, Soh C B, et al.Design and implementation of a class of robust H∞ control for stability enhancement in power systems[J]. Electric Machines & Power Systems, 2000, 28(9): 839-860. [13] Kwan K H, Yun C C, Ping L S.Model-based control of a unified power quality conditioner[J]. IEEE Transactions on Industrial Electronics, 2009, 56(7): 2493-2504. [14] Mcfarlane D, Glover K.A loop-shaping design pro-cedure using H_infinity synthesis[J]. IEEE Transa-ctions on Automatic Control, 2002, 37(6): 759-769. [15] Ott T, Fichter W, Bennani S, et al.Precision pointing H∞ control design for absolute, window-, and stability-time errors[J]. CEAS Space Journal, 2013, 4(1-4): 13-30. [16] Carolina L, Rantzer A, Morris K.H-infinity optimal control for infinite-dimensional systems with strictly negative generator[C]//2016 IEEE 55th Conference on Decision and Control (CDC), Las Vegas, NV, 2016: 5275-5280 [17] Ambos P, Duc G, Falinower C M.Loop shaping H∞ design applied to the steam generator level control in EDF nuclear power plants[C]//IEEE International Conference on Control Applications Held together with IEEE International Symposium on Intelligent Control, Dearborn, MI, USA, 1996: 751-756. [18] Zhu Chuanjiang, Khammash M, Vittal V, et al.Robust power system stabilizer design using H∞ loop shaping approach[J]. IEEE Transactions on Power Systems, 2003, 18(2): 810-818.
2021, Vol. 36 
