基于改进Hough变换的消弧线圈接地配电网故障选线新方法

doi:10.11930/j.issn.1004-9649.202306087

中国电力 ›› 2024, Vol. 57 ›› Issue (7): 132-142.DOI: 10.11930/j.issn.1004-9649.202306087

基于改进Hough变换的消弧线圈接地配电网故障选线新方法

郭亮¹(), 屈新宇²(), 王晓卫²(), 王毅钊³, 田影², 张帆²

1. 国网江西省电力有限公司电力科学研究院，江西南昌　330000
2. 西安理工大学电气工程学院，陕西西安　710054
3. 国网陕西省电力有限公司电力科学研究院，陕西西安　710100

收稿日期:2023-06-25 接受日期:2023-12-26 出版日期:2024-07-28 发布日期:2024-07-23
作者简介:郭亮（1986—），男，硕士，高级工程师，从事配电网继电保护研究，E-mail：guoliangxinyu@126.com
屈新宇（1998—），女，硕士研究生，从事配电网接地故障选线研究，E-mail：2377433820@qq.com
王晓卫（1983—），男，通信作者，博士，副教授，从事电力系统继电保护、配电网接地故障处理等研究，E-mail：proceedings@126.com
基金资助:
国家自然科学基金资助项目（52177114）；国网江西省电力有限公司科技项目（521820220016）。

A Novel Fault Feeder Selection Method for Resonant Grounding Distribution Networks Based on Improved Hough Transform

Liang GUO¹(), Xinyu QU²(), Xiaowei WANG²(), Yizhao WANG³, Ying TIAN², Fan ZHANG²

1. Institute of Electric Power Research of State Grid Jiangxi Electric Power Co., Ltd., Nanchang 330000, China
2. School of Electrical Engineering, Xi'an University of Technology, Xi'an 710054, China
3. Institute of Electric Power Research of State Grid Shaanxi Electric Power Company Limited, Xi'an 710100, China

Received:2023-06-25 Accepted:2023-12-26 Online:2024-07-28 Published:2024-07-23
Supported by:
This work is supported by National Natural Science Foundation of China (No.52177114) and Science & Technology Project of State Grid Jiangxi Electric Power Co., Ltd. (No.521820220016).

摘要/Abstract

摘要：

针对配电网在电压过零点和高阻故障时刻选线不准确的问题，提出一种适用于谐振接地系统单相接地故障的选线新方法，利用优化后的变分模态分解对各馈线零序功率进行处理，遴选出与原始零序功率相关强度最高的本征模态函数IMF(k)，将IMF(k)转换为JPG格式的二维图像，再利用Hough变换检测技术，得到故障起始阶段IMF(k)的拟合直线及夹角；对各支路模态量拟合直线夹角进行比对处理，将最小综合相关系数值对应的馈线确定为故障馈线；仿真结果表明：该方法不受接地电阻、故障相角、噪声干扰、数据缺失等因素的影响，验证了所提方法的有效性。

关键词: 单相接地故障, 二维图像, Hough变换, 综合相关系数, 故障选线

Abstract:

Aiming at the problem of inaccurate feeder selection in case of zero-crossing voltage and high impedance faults in distribution networks, a novel feeder selection method for single-phase grounding faults of resonant grounding systems is proposed. Firstly, the optimized variational mode decomposition (VMD) is used to process the zero-sequence power of each feeder, consequently selecting the mode IMF(k) with the highest correlation strength with the original zero-sequence power. And then the IMF(k) is convert into a two-dimensional image in JPG format, and the Hough transform detection technology is used to obtain the fitting line and angle of IMF(k) at the initial stage of the fault. The angle between the fitting straight lines of the modal quantities of each feeder is compared and processed, and the feeder corresponding to the minimum comprehensive correlation coefficient value is determined as the faulty feeder. The simulation results show that the proposed method is not affected by the factors such as ground resistance, fault phase angle, noise interference, and data loss, which verifies the effectiveness of the proposed method.

Key words: single-phase grounding fault, two-dimensional image, Hough transform, comprehensive correlation coefficient, fault feeder selection

郭亮, 屈新宇, 王晓卫, 王毅钊, 田影, 张帆. 基于改进Hough变换的消弧线圈接地配电网故障选线新方法[J]. 中国电力, 2024, 57(7): 132-142.

Liang GUO, Xinyu QU, Xiaowei WANG, Yizhao WANG, Ying TIAN, Fan ZHANG. A Novel Fault Feeder Selection Method for Resonant Grounding Distribution Networks Based on Improved Hough Transform[J]. Electric Power, 2024, 57(7): 132-142.

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链接本文: https://www.electricpower.com.cn/CN/10.11930/j.issn.1004-9649.202306087

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图/表 17

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馈线类型	相序	R/(Ω·km^–1)	C/(μF·km^–1)	L/(mH·km^–1)
架空线	正序	0.170 0	0.009 7	1.210 0
架空线	零序	0.230 0	0.008 0	5.478 0
电缆	正序	0.270 0	0.339 0	0.255 0
电缆	零序	2.700 0	0.280 0	1.019 0
DG变	正序漏抗为0.025 00 p.u.		额定功率为2 MV·A

馈线类型	相序	R/(Ω·km^–1)	C/(μF·km^–1)	L/(mH·km^–1)
架空线	正序	0.170 0	0.009 7	1.210 0
架空线	零序	0.230 0	0.008 0	5.478 0
电缆	正序	0.270 0	0.339 0	0.255 0
电缆	零序	2.700 0	0.280 0	1.019 0
DG变	正序漏抗为0.025 00 p.u.		额定功率为2 MV·A

故障馈线	故障位置D/km	选线判据	最小值	结果
L₁	10	[–0.10 0.60 0.63 0.66]	–0.10	L₁
L₃	6	[0.92 0.89 0.72 0.89]	0.72	L₃
L₄	5	[0.50 0.20 0.43 –0.29]	–0.29	L₄

故障馈线	故障位置D/km	选线判据	最小值	结果
L₁	10	[–0.10 0.60 0.63 0.66]	–0.10	L₁
L₃	6	[0.92 0.89 0.72 0.89]	0.72	L₃
L₄	5	[0.50 0.20 0.43 –0.29]	–0.29	L₄

故障馈线	故障位置 D/km	初相角β/(°)	SNR/ dB	R_g/Ω	故障发生时间点 t/s	选线判据	最小值	结果
L₁	10	90	—	10	0.1	[0.89 0.96 0.96 0.97]	0.89	L₁
				500		[0.22 0.75 0.74 0.74]	0.22	L₁
				1000		[–0.02 0.66 0.66 0.66]	–0.02	L₁
L₃	6	0	—	10	0.1	[0.49 0.38 –0.48 0.35]	–0.48	L₃
		0	—	500	0.1	[0.34 0.34 –0.98 0.34]	–0.98	L₃
		90	—	10	0.1	[0.90 0.87 0.71 0.81]	0.71	L₃
		90	—	500	0.1	[0.47 0.60 0.09 0.93]	0.09	L₃
		60	10	10	0.1	[0.90 0.86 0.65 0.87]	0.65	L₃
				1000		[0.53 0.62 –0.20 0.44]	–0.20	L₃
				2000		[0.39 0.43 –0.60 0.49]	–0.60	L₃
L₄	5	60	—	10	电压过零点	[0.38 0.38 0.39 –0.84]	–0.84	L₄
				1000		[0.83 0.83 0.83 0.49]	0.49	L₄
				2000		[0.88 0.87 0.88 0.62]	0.62	L₄

基于改进Hough变换的消弧线圈接地配电网故障选线新方法

A Novel Fault Feeder Selection Method for Resonant Grounding Distribution Networks Based on Improved Hough Transform

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故障馈线	故障位置 D/km	数据缺失	R_g/Ω	选线判据
L₁	10	L₁、L₂缺失20% L₃、L₄缺失20%	1000	[0.39 0.55 0.58 0.66]
L₁	10	L₁、L₂缺失30% L₃、L₄缺失20%	5000	[0.24 0.61 0.73 0.58]
L₃	6	L₁、L₂缺失20% L₃、L₄缺失30%	1000	[0.39 0.55 0.08 0.66]
L₃	6	L₁、L₂缺失10% L₃、L₄缺失5%	5000	[0.50 0.51 0.07 0.94]
L₄	5	L₁、L₃缺失10% L₂、L₄缺失5%	1000	[0.69 0.67 0.72 0.08]
L₄	5	L₁、L₃缺失20% L₂、L₄缺失20%	5000	[0.49 0.51 0.44 –0.53]

选线方法	数据缺失	R_g/Ω	选线判据	结果
本文	—	10	[1.22 1.23 1.24 1.03]	正确
	—	1000	[0.93 0.93 0.99 0.20]	正确
	各馈线缺失20%	5000	[0.63 0.59 0.62 0.21]	正确
文献[16]	—	10	[–1 –1 –1 1]	正确
	—	1000	[–1 –1 –1 1]	正确
	各馈线缺失20%	5000	[–1 –1 –1 –1]	错误

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模态框（Modal）标题

基于改进Hough变换的消弧线圈接地配电网故障选线新方法

A Novel Fault Feeder Selection Method for Resonant Grounding Distribution Networks Based on Improved Hough Transform

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