WANG Tiange 1,2, TIAN Mingxing2, ZHANG Huiying2
（1. Shaanxi Railway Institute, Weinan 714000, China；2. School of Automation and Electrical Engineering, Lanzhou Jiaotong University, Lanzhou 730070, China）
Abstract： A novel magnetic integrated controllable reactor of transformer type (CRT) has the advantages of simple structure, flexible assembly, convenient maintenance and practicability. To analyze its operation characteristics accurately, we establish corresponding equivalent mathematical model considering magnetic leakage based on magnetic circuit and circuit dualistic transformation method. The distribution of magnetic leakage field of each winding is analyzed qualitatively, and the analytical calculation formulas of magnetizing inductance and leakage inductance of each winding are derived. Based on this, the analytical calculation formulas of shortcircuit impedance and winding current of CRT under different working conditions are derived. The fieldcircuit coupling finite element model of the magnetic integrated CRT is established to simulate the current of each winding under different working conditions. The results show that the analytical calculation results of each winding current have good consistency with the finite element calculation results, indicating the validity of CRT equivalent mathematical model and correctness of the analytical formulas of leakage inductance, shortcircuit impedance and winding current of CRT. The working winding current of CRT is increasing gradually with the operation of control winding in turn to realise the transition of CRT compensation capacity from zero to a rated value.
Key words： controllable reactor of transformer type (CRT)； magnetic integration technology； equivalent mathematical model； leakage inductance； winding current
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计及漏磁的新型磁集成CRT数学模型分析
王田戈1,2, 田铭兴2 , 张慧英2
（1. 陕西铁路工程职业技术学院， 陕西 渭南 714000； 2. 兰州交通大学 自动化与电气工程学院， 甘肃 兰州 730070）
摘要:新型磁集成结构变压器式可控电抗器(Controllable reactor of transformer type, CRT)具有结构简单、 装配灵活、 维护方便的优点。 为了对新型磁集成CRT运行特性进行准确分析， 基于磁路电路对偶变换法， 建立了计及漏磁的新型磁集成CRT等效数学模型， 对各绕组漏磁场分布情况进行了定性分析， 并推导出新型磁集成CRT各绕组激磁电感与漏电感解析计算公式。 在此基础上， 进一步推导出不同工况下CRT短路阻抗与各绕组电流的解析计算公式并设计算例， 建立了新型磁集成CRT的场路耦合有限元仿真模型， 对其不同工况下各绕组电流进行仿真计算。 结果显示， 各绕组电流的解析计算结果与有限元计算结果具有良好的一致性， 表明了CRT等效数学模型的有效性， 以及绕组漏感解析公式与CRT阻抗、 绕组电流解析公式的正确性。 CRT工作绕组电流随着控制绕组的依次投入而逐渐增加， 可实现CRT补偿容量从零到额定值的过渡。
关键词:变压式可控电抗器； 磁集成技术； 等效数学模型； 漏电感； 绕组电流
引用格式：WANG Tiange, TIAN Mingxing, ZHANG Huiying． Mathematical model analysis of newtype magnetic integrated CRT considering magnetic leakage． Journal of Measurement Science and Instrumentation， 2022， 13（1）： 3140. DOI： 10．3969／j．issn．16748042．2022．01．004
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