多绕组变压器复合短路阻抗与环流计算*

doi:10.11985/2023.04.028

电气工程学报 ›› 2023, Vol. 18 ›› Issue (4): 260-267.doi: 10.11985/2023.04.028

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多绕组变压器复合短路阻抗与环流计算^*

李世军¹(), 黄超¹(), 夏湘滨², 杨佳意³, 邝孝威¹, 张彬¹, 陈懿媛⁴, 郭盈⁴

1.湖南工程学院电气与信息工程学院湘潭 411101
2.湖南华夏特变股份有限公司湘潭 411101
3.邵阳学院电气工程学院邵阳 422004
4.湖南德意电气有限公司湘潭 411101

收稿日期:2022-12-25 修回日期:2023-05-14 出版日期:2023-12-25 发布日期:2024-01-12
作者简介:李世军，男，1982年生，博士，副教授，硕士研究生导师。主要从事新型变压器、高压直流输电方面研究。E-mail：13538878@qq.com
黄超，男，2000年生，硕士研究生。主要从事变压器理论与技术、电力电子技术方面研究。E-mail：568845469@qq.com
基金资助:
*湖南省教育厅科学研究(22B0740);湖南省教育厅科学研究(22B0743);湘潭市揭榜挂帅(CG-ZDGS20231002);湖南省自然科学基金(2022JJ50122);湖南省企业科技特派员(2021GK5042);湖南工程学院人才科研基金(20RC002);湘潭市企业科技特派专家(CG-TPZJ20221019)

Calculation of Composite Short-circuit Impedance and Circulating Current of Multi-winding Transformer

LI Shijun¹(), HUANG Chao¹(), XIA Xiangbin², YANG Jiayi³, KUANG Xiaowei¹, ZHANG Bin¹, CHEN Yiyuan⁴, GUO Ying⁴

1. College of Electrical & Information Engineering,Hunan Institute of Engineering, Xiangtan 411101
2. XiangTan HuaXia Special Transformer Co., Ltd., Xiangtan 411101
3. School of Electrical Engineering, Shaoyang University, Shaoyang 422004
4. Hunan Deyi Electric Co., Ltd., Xiangtan 411101

Received:2022-12-25 Revised:2023-05-14 Online:2023-12-25 Published:2024-01-12

摘要/Abstract

摘要：

为解决多绕组变压器建模复杂、复合短路阻抗和环流计算困难以及计算时间长的问题，提出一种基于简化变压器有限元模型的计算方法。该方法可以快速准确地计算多绕组变压器的复合短路阻抗和相应的短路环流。首先建立了简化的变压器有限元模型，并获得了绕组的电感矩阵。然后，将相关数据输入计算软件中进行计算，以得到多绕组变压器的复合短路阻抗和对应的短路环流。为了验证该计算方法的准确性，进行了实例验证。结果表明，该方法计算精度高并且耗时较少。通过使用这种基于简化变压器有限元模型的计算方法，可以有效地解决多绕组变压器的复合短路阻抗和环流计算中的困难，这不仅提高了计算效率，还能提供准确的计算结果，具有较好的工程应用价值。

关键词: 多绕组变压器, 复合短路阻抗, 短路环流, 有限元模型

Abstract:

In order to solve the problems of complex modeling of multi-winding transformer, difficult calculation of composite short-circuit impedance and circulating current, and long calculation time, a calculation method based on simplified transformer finite element model is proposed. This method can quickly and accurately calculate the composite short-circuit impedance and the corresponding short-circuit circulating current of the multi-winding transformer. Firstly, a simplified finite element model of the transformer is established, and the inductance matrix of the winding is obtained. Then, the relevant data are input into the calculation software for calculation to obtain the composite short-circuit impedance and the corresponding short-circuit circulation of the multi-winding transformer. In order to verify the accuracy of the calculation method, an example is verified. The results show that the method has high calculation accuracy and less time-consuming. By using this calculation method based on the simplified finite element model of the transformer, the difficulties in the calculation of the composite short-circuit impedance and circulating current of the multi-winding transformer can be effectively solved, which not only improves the calculation efficiency, but also provides accurate calculation results and has good engineering application value.

Key words: Multi-winding transformers, composite short-circuit impedance, short-circuit circulating current, finite element model

中图分类号:

TM315

李世军, 黄超, 夏湘滨, 杨佳意, 邝孝威, 张彬, 陈懿媛, 郭盈. 多绕组变压器复合短路阻抗与环流计算^*[J]. 电气工程学报, 2023, 18(4): 260-267.

LI Shijun, HUANG Chao, XIA Xiangbin, YANG Jiayi, KUANG Xiaowei, ZHANG Bin, CHEN Yiyuan, GUO Ying. Calculation of Composite Short-circuit Impedance and Circulating Current of Multi-winding Transformer[J]. Journal of Electrical Engineering, 2023, 18(4): 260-267.

图/表 7

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图3

表1

图4

表2

表3

参考文献 21

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参数	高压绕组	低压绕组
额定容量/(kV·A)	5 280	4×1 320
额定电压/V	25 000	4×970
额定电流/A	211	1 361
最大电流/A	235	1 512
短路阻抗(%)	37	35
匝数	1 907	74

	短路电流/A								短路阻抗(%)		误差(%)
	H1	H2	H3	H4	L1	L2	L3	L4	计算值	实测值	误差(%)
H-L1	-157.47	438.48	-94.16	-87.85	-1 167.12	0	0	0	35.53	36.62	3.06
H-L2	-101.82	372.76	-83.1	-88.84	0	-1 167.12	0	0	35.64	36.7	2.97
H-L3	-94.16	-87.85	-157.47	438.48	0	0	-1 167.12	0	35.53	36.05	1.46
H-L4	-83.1	-88.84	-101.82	372.76	0	0	0	-1 167.12	35.64	36.25	1.71
H-L	-436.3	634.3	-436.31	634.3	-1 162.76	-1 171.47	-1 162.77	-1 171.47	36.56	37.52	2.62
L1-L2	0	0	0	0	1 166.9	-1 166.9	0	0	77.19	78.45	1.63
L1-L3	0	0	0	0	1 166.9	0	-1 166.9	0	76.43	77.16	0.94
L1-L4	0	0	0	0	1 166.9	0	0	-1 166.9	76.10	77.98	2.47
L2-L3	0	0	0	0	0	1166.9	-1 166.9	0	76.10	77.86	2.31
L2-L4	0	0	0	0	0	1 166.9	0	-1 166.9	77.19	76.95	-0.69
L3-L4	0	0	0	0	0	0	1166.9	-1 166.9	77.19	78.12	1.20

计算方法		H1	H2	H3	H4	L1	L2
H-L1	本文方法	-51.53	-1.88	0.12	-0.32	1 360	0
	场路耦合方法	-52.42	-2.21	1.01	-0.83	1 361	0
	数学计算方法	-51.04	-1.80	0.06	-0.26	1 360	0
L1-L2	本文方法	49.63	-49.33	-0.63	0.46	-1 363	1 361
	场路耦合方法	50.89	-51.00	-2.17	1.92	-1 364.0	1 361
	数学计算方法	49.42	-49.24	-0.480	0.35	-1 361.5	1 361

多绕组变压器复合短路阻抗与环流计算^*

Calculation of Composite Short-circuit Impedance and Circulating Current of Multi-winding Transformer

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