Differential Protection of Distribution Network Based on VMD and Duffing Oscillator

doi:10.11930/j.issn.1004-9649.202307005

Abstract

Abstract:

The distribution network is grounded through arc suppression coil. When a single-phase grounding fault occurs, the faulting characteristics are often weak and unobvious, which makes it difficult to accurately locate the fault line. In recent years, with the development of communication and other related technologies, the cost of differential protection has decreased continuously, which makes it possible to realize the differential protection of distribution network. Therefore, a line selection method based on variational mode decomposition (VMD) and Duffing oscillator system is proposed. Firstly, the high-frequency component of transient zero-sequence current is obtained with VMD, and the phase difference of high-frequency zero-sequence current on both sides of the line is added to the Duffing system. And then, by analyzing the relationship between the phase difference of high-frequency components on both sides of the line and the state of the Duffing system, a fault criterion based on dynamic time warping (DTW) is constructed to realize the accurate location of the fault. Finally, numerical simulation proves that the proposed line selection method can quickly and accurately locate the single-phase ground fault sections for the lines that have different transition resistances and distributed power sources. The proposed fault section localization algorithm can effectively extract fault characteristics, thereby improving the reliability of protection and the accuracy of line selection.

Key words: differential protection, small current system, variational mode decomposition, Duffing oscillator, dynamic time warping

Jianbao ZHANG, Lei WANG, Weijian JIANG. Differential Protection of Distribution Network Based on VMD and Duffing Oscillator[J]. Electric Power, 2024, 57(11): 26-35.

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URL: https://www.electricpower.com.cn/EN/10.11930/j.issn.1004-9649.202307005

https://www.electricpower.com.cn/EN/Y2024/V57/I11/26

Figures/Tables 15

Fig.1 System phase trajectory

Fig.2 Schematic diagram of decomposition level

Fig.3 Change of amplitude F with phase angle φ

Fig.4 The dx/x time series corresponding to different φ1 phase trajectories

Fig.5 Variation of DTW distance with φ1

Fig.6 Fault line selection process

Fig.7 The main wiring diagram of double-ended power supply in small current grounding system

Fig.8 VMD decomposition of zero-sequence current on both sides of single-phase grounding short circuit inside and outside line L1

Fig.9 High-frequency components of transient zero-sequence current on both sides of single-phase grounding short circuit inside and outside of line L1

Table 1 The DTW distance of A phase grounding through different transition resistances

故障类型	故障位置	过渡电阻/Ω	D_k	故障区段
区内故障	K2	70	26.66	L1
		200	37.59	L1
		1000	29.48	L1
区外故障	K5	50	0.15	L2
		400	0.13	L2
		2000	0.13	L2

Table 2 The DTW distance at different fault locations

故障类型	故障位置	D_k	故障区段
区内故障	K1	28.84	L1
	K2	25.20	L1
	K3	26.53	L1
区外故障	K4	0.15	L2
	K5	0.13	L2
	K6	0.52	L2

Fig.10 The DTW distance under different closing initial phase angles and fault types

Fig.11 The main wiring with DG access

Table 3 The DTW distance with DG access

故障类型	故障位置	过渡电阻/Ω	D_k	故障区段
区内故障	K1	10	22.54	L1
		300	17.89	L1
		1300	24.01	L1
区外故障	K4	90	0.69	L2
		150	0.13	L2
		2100	0.13	L2

Fig.12 The fault recognition accuracy of different algorithms

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