Mathematical Model of the Integrated Filtering Reactor Windings Transformer
Li Shijun1,2,Luo Longfu1,She Shuangxiang3,Liao Wendi1,Xu Jiazhu1,Wan can1,Deng Qiuling2,4,Wei Kexiang2
1. College of Electrical and Information Engineering, Hunan University Changsha 410082 China; 2. Hunan Institute of Engineering Xiangtan 411101 China; 3. Powerchina Zhongnan Engineering Co.Ltd. Changsha 410014 China; 4. Hunan Province Cooperative Innovation Center for Wind Power Equipment and Energy Conversion Xiangtan 411101 China
Abstract：The integrated filtering reactor windings transformer is designed by a special winding arrangement design scheme. The air-core reactors of the harmonic filtering devices are integrated as the transformer windings in the transformer. Aiming to reduce the number and the cover area of the equipment, this kind of transformer has a broad prospect of application in the areas of high harmonic content and small covering area, such as the ship power system and the city prefabricated substation. As a special structure winding the integrated filtering reactor winding constitude a complete windings structure with other normal power windings. The paper presents the fundamental circuit model and the harmonic circuit model of the integrated filtering reactor winding transformer, and based on the multi-winding transformer voltage equations the fundamental current and harmonic current formulas of the transformer windings are obtained. The fundamental current and harmonic current of the windings are summed to obtain the mathematical model of the integrated filtering reactor winding transformer. Taking a 300kVA integrated filtering reactor windings ship rectifier transformer for instance, the mathematical model calculation data and measured data are compared to prove the correctness of the mathematical model in this paper.
[1] 湖南大学. 集成滤波电感变压器, 中国, CN200910043186.8[P]. 2009. 12-9. Hunan University. Integrated filtering reactors trans- former, China, CN200910043186.8[P]. 2009. 12-9. [2] 廖闻迪. 非正交解耦理论与集成于船舶电力推进 整流变压器的线性滤波电抗器: [D]湖南: 湖南大 学, 2015. Liao wendi. The non-orthogonal decoupling thery and the linear filtering reactor integrated in the ship propulsion rectifier transformer: [D]Hunan: Hunan University, 2015. [3] 罗隆福, 李勇, 许加柱等. 基于相分量法的新型整流变压器数学模型[J]. 电工技术学报, 2007, 22(1): 34-40. Luo Long-fu, Li Yong, Xu Jia-zhu, et al. The new-type converter transformer's mathematical model based on phase-coordinate[J]. Transactions of China Electrotechnical Society, 2007, 22(1): 34-40. [4] 方少麟, 李建华, 黄莹等. 变压器谐波模型的研究与评价[J]. 电力系统及其自动化学报, 2013, 25(2): 103-108. Fang Shaolin, Li Jianhua, Huang Ying, et al. Research and evaluation of the transformer harmonic model[J]. Proceedings of the CSU-EPSA, 2013, 25(2): 103-108. [5] Tziouvaras D A, McLaren P, Alexander G, et al. Mathematical models for current, voltage, and coupling capacitor voltage transformers[J]. Power Delivery, IEEE Transactions on, 2000, 15(1): 62-72. [6] Deng M S, Wang X Z, Huang J. New transformer's longitudinal and asymmetric faults calculation based on additive process[J]. Proceedings of the Chinese Society of Universities for Electric Power System and its Automation, 2013, 1: 011. [7] Yong Li ; Saha, T. K, et al. An inductively active filtering method for power-quality improvement of distribution networks with nonlinear loads[J]. IEEE Transactions on Power Delivery. 2013, 28(4): 3120- 3133. [8] Yang, G.; Li, L. et al. A transient model for controlled shunt reactor based on duality theory[J]. IEEE Transac- tions on Magnetics. 2015, 51(3). [9] Chonggan-Liang, Longfu Luo, Wendi Liao, et al. A new method highly integrated with converter trans- former for harmonic suppression and reactive power compensation[C]. International Conference On Power System Technology, 2014, Page(s): 1576-1581. [10] 崔立君. 特种变压器理论与设计[M]. 北京: 科学技术文献出版社, 1995: 20-23. Cui Lijun. The theory and design of special trans- former[M]. Beijing: Science and Technology Document Press, 1995: 20-23 (in Chinese). [11] 罗隆福, 廖闻迪等, 基于一种新型磁场–电路耦合法的多绕组变压器复合短路阻抗及短路环流计算[J]. 湖南大学学报, 2015, 42(2): 67-73. Luo Longfu, Liao Wendi etal. Multi-winding trans- former composite short-circuit impedance and circula- ting current calculation based on a new field-circuit coupling method[J], Journal of Hunan University (Natural Sciences), 2015, 42(2): 67-73. [12] 王灿, 罗隆福等, 具有滤波功补绕组整流变压器的等值电路计算[J]. 湖南大学学报, 2014, 41(10): 67-70. Wangcan, Luo Longfu, et al. Calculation of the equivalent circuit of rectifier transformer[J]. Journal of Hunan University(Natural Sciences), 2014, 41(10): 67-77.
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