A Novel Method for Line Selection for Cross-Line Two-Point Successive Grounding Faults Utilizing Transient and Steady-State Information
Abstract
:1. Introduction
- (1)
- The active method is identified by injecting signals or artificially creating disturbances, which requires additional devices for implementation and increases the workload of the operation and maintenance. Hence, the application of this method in the field is relatively limited. Ref. [2] uses the transient measurement information after arc extinction to determine the operating state of the distribution network. Ref. [3] proposes to regulate the arc suppression coil to obtain the trajectory matrix, for which a gray correlation analysis is used to identify faults. Ref. [4] identifies faulty lines based on the voltage and current variations under multiple disturbances. Ref. [5] uses a single-phase flexible arc elimination device to detect fault phases, providing a new method for detecting faulty lines. Ref. [6] uses the injected characteristic signal to detect the fault location. Ref. [7] uses the transient voltage and current variations that are generated by the regulation of the arc suppression coil to achieve fault line selection.
- (2)
- The passive method is divided into the steady-state quantity method and the transient quantity method, which only uses the electrical quantity of the fault process itself. The amount of equipment renovation is small, but it has been widely used in the field. Steady-state quantity method: Ref. [8] calculates the power factor of each line to detect the faulty line. Ref. [9] uses three fault characteristics to detect the fault location. Ref. [10] uses the complete residual current magnitude after the fault has occurred to detect the faulty line. Transient quantity method: Ref. [11] makes full use of the transient component after the grounding fault and distinguishes the faulty line from the healthy line by comparing the magnitude and polarity of the projected component of the transient current. Ref. [12] uses the cumulative generation operator to preprocess the transient currents while identifying the faulty lines by improving the cosine similarity. Ref. [13] uses the fault characteristics of the third harmonic amplitude and phase angle to detect faulty lines. Ref. [14] extracts voltage and current information in the characteristic frequency band range after a grounding fault occurrence to construct a dynamic trajectory of voltage–current characteristics to carry out fault line selection. Ref. [15] combines the instantaneous energy of the transient signal with the cosine similarity to achieve fault line selection. Ref. [16] distinguishes the fault from the healthy section based on the third harmonic phase difference. Ref. [17] uses the zero-crossing time difference of the transient currents to detect the faulty line. In [18], the inner product is calculated for the transient current of each line, and the fault location is distinguished based on the symbol of the inner product. Ref. [19] uses the magnitude and sign of the integrated inner product’s value to distinguish between faulty and healthy lines, and the method is adapted to various extreme conditions. Ref. [20] detects faulty lines based on the integrated harmonic energy and correlation of transient signals. In [21], the cosine similarity between the bus voltage and line current is calculated for the fault’s initial phase to distinguish the faulty line. Ref. [22] detects the fault location by comparing the amplitude characteristics of the transient components. Ref. [23] uses mathematical morphology to extract the fault characteristics and adopts correlation analysis to achieve fault detection. Ref. [24] proposes advanced distortion detection techniques for waveform analysis to distinguish and detect high-impedance faults. Ref. [25] combines three typical transient fault characteristics with D-S evidence fusion theory to achieve fault line selection. In [26], a multi-terminal traveling wave location network is developed. Ref. [27] uses the complete ensemble empirical mode decomposition with adaptive noise (CEEMDAN) algorithm to extract transient signals and develops three complementary fault line selection methods. Ref. [28] identifies the fault location based on the fault characteristics of voltage and current in the characteristic frequency band. Ref. [29] uses the voltage traveling wave after the fault occurs to measure the fault location. Ref. [30] uses the transient energy difference between the faulty and healthy lines in the characteristic frequency band. Ref. [31] combines clustering methods with similarity analysis, thus detecting faulty lines with a high degree of sensitivity. Ref. [32] uses the variational mode decomposition (VMD) algorithm to extract transient characteristics after the occurrence of faults. Ref. [33] uses stochastic resonance to extract transient signals under strong noise. Ref. [34] uses transient voltage and current features and combines these with neural networks to achieve detection of the fault location. Ref. [35] uses the disturbance generated by the small resistance input of a flexible grounding system to achieve fault location detection.
2. Adaptation Analysis of Transient and Steady-State State Quantity Methods for CTSGs
2.1. Transient Quantity Method
2.2. Steady-State Quantity Method
- (1)
- Analysis of steady-state fault characteristics and the adaptability of the steady-state quantity method for SP-CTSGs
- (2)
- Analysis of steady-state fault characteristics and the adaptability of the steady-state quantity method for DP-CTSGs
3. New Method of Line Selection for CTSGs
3.1. Analysis of Calculation Amount for Continuous Detection in Transient Quantity Method
3.2. Analysis of the Accuracy of the Steady-State Quantity Method of Detection
4. Simulation Testing
- (1)
- Condition ①:
- (2)
- Condition ②:
5. Full-Scale Test Field Testing
6. Field Recording Test
7. Conclusions
Author Contributions
Funding
Data Availability Statement
Conflicts of Interest
Appendix A
Appendix A.1. Recording Data of SP-CTSGs and DP-CTSGs
Appendix A.2. Process for Deriving the Relationship between Bus’s Zero-Sequence Voltage and Grounding Resistance Rf
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Line | Phase Sequence | R (Ω/km) | L (mH/km) | C (μF/km) |
---|---|---|---|---|
Cable line | Positive sequence | 0.2700 | 0.2550 | 0.3390 |
Zero-sequence | 2.7000 | 1.0190 | 0.2800 | |
Overhead line | Positive sequence | 0.1700 | 1.2100 | 0.0097 |
Zero-sequence | 0.2300 | 5.4780 | 0.0080 |
Arc Types | Vρ | Vρ | Rp | Rp |
---|---|---|---|---|
Cement | 4.5 ± 10% kV | 2.0 ± 20% kV | 800 Ω | 750 Ω |
Dry grass | 3.8 ± 10% kV | 3.6 ± 10% kV | 400 Ω | 350 Ω |
Wet grass | 1.2 ± 10% kV | 1.0 ± 10% kV | 1200 Ω | 1100 Ω |
Initial Phase Angle | 1st Fault | 2nd Fault | Transient Current at 1st Fault/A [L1 L2 L3 L4] | Transient Current at 2nd Fault/A [L1 L2 L3 L4] | Transient Method Results | Phase Ahead at Steady-State [L1 L2 L3 L4] | Steady-State Method Results | Wheel Cut |
---|---|---|---|---|---|---|---|---|
0° | L3 1500 Ω B | L2 1000 Ω A | [3.58 1.99 −5.18 0.43] | [−12.60 −6.00 −5.88 −0.70] | L3 | [85.38° 105.36°/86.41°] | L2 | / |
0° | L2 2000 Ω A | L1 1000 Ω A | [−1.11 1.53 −1.3 −0.21] | [−8.83 −7.3 −3.7 −0.43] | L2 | [98.05°/88.56° 89.43°] | L1 | / |
0° | L3 2000 Ω A | L2 500 Ω C | [−0.43 −1.85 1.33−0.16] | [−11.37 −7.72 −4.87 −0.73] | L3 | [83.33° 99.85°/84.78°] | L2 | / |
30° | L3 1500 Ω A | L2 3000 Ω B | [−0.94 −3.66 4.75 −0.36] | [−8.99 −10.95 2.21 −0.25] | L3 | [92.61° 93.12°/91.82°] | / | L2 |
30° | L2 1000 Ω B | L1 500 Ω A | [−0.11 5.31 −5.03 −0.41] | [−0.21 −22.31 −5.88 −0.7] | L2 | [94.37°/91.51°92.92°] | L1 | / |
30° | L4 100 Ω C | L2 500 Ω A | [12.52 10.79 4.09 −37.54] | [42.31 33.33 5.89 −9.19] | L4 | [88.34° 100.4° 89.67°/] | L2 | / |
60° | L4 500 Ω B | L2 1000 Ω B | [0.39 4.49 4.5 −10.25] | [−14.28 −13.61 −5.42 −1.71] | L4 | [89.64° 94.99° 91.17°/] | L2 | / |
60° | L3 2000 Ω C | L2 1000 Ω A | [0.44 1.056 −2.34 0.17] | [9.41 15.37 −3.68 0.035] | L3 | [88.11° 102°/89.65°] | L2 | / |
60° | L3 300 Ω A | L2 1300 Ω A | [−5.11 −20.1 25.84 −1.91] | [−1.81 −0.98 4.4 −0.06] | L3 | [88.56° 92.03°/89.91°] | / | L2 |
90° | L4 1500 Ω B | L3 100 Ω A | [−0.1 −0.55 −0.19 0.86] | [−44.76 −21.63 48.54 −2.69] | L4, L3 | / | / | / |
90° | L4 100 Ω A | L2 100 Ω A | [−5.03 −44.33 −27.81 63.48] | [13.5 14.54 5.14 2.17] | L4 | [88.26° 100.88° 89.59°/] | L2 | / |
Initial Phase Angle | 1st Fault | 2nd Fault | Transient Current at 1st Fault/A [L1 L2 L3 L4] | Transient Current at 2nd Fault/A [L1 L2 L3 L4] | Transient Method Results | Phase Ahead at Steady-State [L1 L2 L3 L4] | Steady-State Method Results | Wheel Cut |
---|---|---|---|---|---|---|---|---|
0° | L2 Cement C | L3 Wet grass A | [−0.21 −2.99 5.27 −0.43] | [0.23 4.36 9.87 0.55] | L3 | [90.59° 127.49°/88.42°] | L2 | / |
30° | L2 Cement B | L3 Dry grass C | [0.36 −5.52 4.73 0.70] | [−0.17 −13.93 −3.29 −0.39] | L2 | [89.62°/93.99° 90.06°] | L3 | / |
60° | L2 Dry grass A | L3 Wet grass A | [−0.04 7.33 −6.26 −1.01] | [0.59 11.22 7.48 0.10] | L2 | [76.47°/94.30° 76.54°] | L3 | / |
90° | L2 Dry grass B | L3 Wet grass C | [−0.05 5.88 −1.55 −0.32] | [0.42 5.43 −8.95 1.08] | L2, L3 | / | / | / |
0° | L1 Cement A | L4 Cement B | [3.94 −3.98 −1.95 −0.27] | [1.96 16.29 8.01 −14.5] | L1, L4 | / | / | / |
30° | L1 Cement A | L4 Dry grass C | [8.85 −7.34 −4.00 −0.37] | [6.51 9.26 3.99 −2.64] | L1, L4 | / | / | / |
60° | L1 Cement B | L4 Wet grass C | [−3.85 1.75 1.90 0.14] | [−3.98 −1.41 −2.92 −6.03] | L1 | [/81.58° 89.03° 91.19°] | L4 | / |
90° | L1Dry grass C | L4 Wet grass C | [−7.54 4.21 1.82 0.33] | [−1.22 −6.91 −2.45 −1.06] | L1 | [/99.87° 80.70° 100.88°] | L4 | / |
0° | L2 Cement A | L4 Cement B | [−0.16 2.29 −1.94 −0.14] | [0.10 6.84 2.14 1.26] | L2 | [85.27°/89.88° 188.85°] | L4 | / |
30° | L2 Cement A | L4 Dry grass C | [−0.13 1.90 −1.61 −0.12] | [0.04 4.30 0.97 1.44] | L2 | [85.39°/89.76° 193.70°] | L4 | / |
60° | L2 Cement B | L4 Wet grass C | [0.46 −6.39 5.48 0.85] | [−0.38 −18.13 −5.14 4.58] | L2, L4 | / | / | / |
90° | L2 Dry grass C | L4 Wet grass C | [−0.01 4.27 −0.60 −0.21] | [0.46 6.14 3.43 −11.18] | L2, L4 | / | / | / |
Initial Phase Angle | 1st Fault | 2nd Fault | Transient Current at 1st Fault/A [L1 L2 L3 L4] | Transient Current at 2nd Fault/A [L1 L2 L3 L4] | Transient Method Results | Phase Ahead at Steady-State [L1 L2 L3 L4] | Steady-State Method Results | Wheel Cut |
---|---|---|---|---|---|---|---|---|
90° | L2 Wet grass A | L2 750 Ω C | [0.28 −4.44 0.61 0.27] | [0.20 6.78 8.39 0.28] | L2 | [61.57°/94.61° 60.04°] | L3 | / |
0° | L1 Dry grass A | L2 1000 Ω B | [9.74 −5.12 −1.86 −0.35] | [12.23 1.61 3.06 0.78] | L1 | [/105.85° 86.32° 86.38°] | L2 | / |
30° | L2 Dry grass B | L3 2000 Ω A | [0.42 −6.40 5.39 0.43] | [−0.16 −17.01 0.90 −0.73] | L2, L3 | / | / | / |
60° | L3 Dry grass C | L1 500 Ω B | [0.31 5.67 −7.24 0.14] | [23.16 −18.76 −9.91 −2.16] | L3, L1 | / | / | / |
90° | L4 Dry grass A | L1 750 Ω C | [0.10 3.26 1.57 −3.08] | [−9.71 12.28 4.27 7.79] | L4, L1 | / | / | / |
0° | L1 Cement A | L2 2500 Ω B | [7.42 −3.57 −1.42 −0.33] | [7.21 5.38 2.66 0.54] | L1 | [/91.37° 78.29° 79.92°] | / | L2 |
30° | L2 Cement B | L3 1500 Ω C | [0.35 −5.25 4.50 0.66] | [−0.22 −11.19 −3.77 −0.12] | L2 | [82.74°/109.72° 82.14°] | L3 | / |
60° | L3 Cement C | L4 2000 Ω A | [0.13 3.22 −3.39 0.28] | [−0.37 −8.06 −6.48 6.92] | L3, L4 | / | / | / |
90° | L4 Cement A | L1 750 Ω B | [−0.33 −3.78 −4.20 8.39] | [11.72 −2.65 −0.83 −0.25] | L4, L1 | / | / | / |
0° | L1 Wet grass A | L3 1000 Ω B | [4.39 −2.03 −2.20 −0.17] | [2.03 11.6 −7.84 0.98] | L1, L3 | / | / | / |
30° | L2 Wet grass B | L1 750 Ω B | [0.29 −4.51 3.83 0.29] | [−10.21 −5.11 −1.11 −1.12] | L1 | [95.73°/80.45° 83.73°] | L1 | / |
60° | L3 Wet grass C | L2 1500 Ω B | [0.23 2.66 −3.17 0.23] | [−0.61 −11.00 −0.01 −0.77] | L3 | [83.73° 92.72°/82.78°] | / | L2 |
Initial Phase Angle | 1st Fault | 2nd Fault | Transient Current at 1st Fault/A [L1 L2 L3 L4] | Transient Current at 2nd Fault/A [L1 L2 L3 L4] | Transient Method Results | Phase Ahead at Steady-State [L1 L2 L3 L4] | Steady-State Method Results | Wheel Cut |
---|---|---|---|---|---|---|---|---|
0° | L1 750 Ω C | L2 Wet grass A | [8.36 −4.44 −2.11 −0.55] | [3.19 2.49 0.73 0.06] | L1 | [80.08° 96.83°/87.07°] | L2 | / |
0° | L1 1000 Ω B | L4 Dry grass A | [−11.00 4.71 4.13 0.41] | [−8.32 −10.05 −4.61 11.60] | L1, L4 | / | / | / |
0° | L1 2000 Ω C | L2 Dry grass B | [3.11 −1.45 −1.54 −0.12] | [2.89 −4.47 6.69 0.55] | L1, L2 | / | / | / |
30° | L2 500 Ω A | L3 Dry grass C | [−0.06 4.46 −2.83 −1.37] | [0.20 16.73 3.44 0.33] | L2 | [65.92°/96.17° 62.19°] | L3 | / |
30° | L2 750 Ω B | L4 Dry grass A | [0.46 −7.50 5.56 0.89] | [−0.48 −20.23 −6.21 30.97] | L2, L4 | / | / | / |
30° | L2 1000 Ω C | L1 Cement A | [0.03 −0.14 0.14 0.01] | [6.42 −2.23 −5.44 −0.37] | L2, L1 | / | / | / |
60° | L3 1000 Ω A | L2 Cement B | [−0.52 −6.13 7.23 −0.66] | [0.45 5.86 13.82 0.62] | L3 | [46.27° 93.30 °/47.49°] | / | L2 |
60° | L3 1500 Ω B | L1 Cement C | [0.05 1.92 −2.30 0.17] | [−6.84 −0.74 −1.10 7.29] | L3, L4 | / | / | / |
60° | L3 2000 Ω C | L4 Cement A | [0.16 1.90 −2.17 0.21] | [−0.54 −7.92 −2.02 10.11] | L3, L4 | / | / | / |
90° | L4 500 Ω A | L1 Wet grass A | [−0.26 −6.20 −1.69 8.05] | [0.62 −3.72 −1.58 −1.37] | L4, L1 | / | / | / |
90° | L4 1000 Ω B | L2 Wet grass B | [0.42 4.34 1.56 −5.22] | [−12.15 13.11 −2.90 −6.59] | L4, L2 | / | / | / |
90° | L4 1500 Ω C | L3 Wet grass C | [0.25 5.42 2.88 −6.47] | [0.15 −8.03 1.68 −3.47] | L4 | [90.66° 85.75° 94.45°/] | L3 | / |
No. | Test Project | F1/Ω | F2/Ω |
---|---|---|---|
1 | The 2nd grounding occurs | 60 | 60 |
2 | before the 1st grounding line | 60 | 3000 |
3 | trips (same phase) | 3000 | 60 |
4 | The 2nd grounding occurs | 60 | 2000 |
5 | before the 1st grounding line | 60 | 3000 |
6 | trips (different phase) | 3000 | 60 |
7 | The 2nd grounding occurs after | 60 | 60 |
8 | the 1st grounding line trips | 60 | 3000 |
9 | (same phase) | 3000 | 60 |
10 | The 2nd grounding occurs after | 60 | 2000 |
11 | the 1st grounding line trips | 60 | 3000 |
12 | (different phase) | 3000 | 60 |
Line No. | Transient Zero-Sequence Current for Each Line of the 1st Ground Fault/A | Transient Zero-Sequence Current for Each Line of the 2nd Ground Fault/A |
---|---|---|
163 | 0.876 | −0.272 |
122 | 2.408 | −0.69 |
165 | 1.553 | −0.388 |
124 | 0.639 | −0.162 |
125 | 0.589 | −0.224 |
126 | 0.576 | −0.271 |
171 | −14.16 | −13.04 |
128 | 1.923 | −0.51 |
141 | 1.055 | −0.328 |
134 | 2.238 | −0.65 |
167 | 2.207 | 14.15 |
r | Transient Zero-Sequence Current for Each Line of the 1st Ground Fault/A | Transient Zero-Sequence Current for Each Line of the 2nd Ground Fault/A |
---|---|---|
179 | 0.119 | 0.353 |
114 | 0.761 | −14.16 |
115 | 0.380 | 0.967 |
189 | 0.496 | 1.671 |
193 | 0.494 | 1.472 |
178 | 0.507 | 1.22 |
180 | 0.147 | 0.521 |
188 | −9.252 | 12.49 |
190 | 0.289 | 0.68 |
Line No. | Transient Zero-Sequence Current for Each Line of the 1st Ground Fault/A | Transient Zero-Sequence Current for Each Line of the 2nd Ground Fault/A |
---|---|---|
188 | −0.94 | 1.398 |
139 | −0.415 | 0.835 |
158 | −0.616 | 1.124 |
161 | −0.924 | 1.496 |
166 | −0.162 | 0.322 |
146 | 14.15 | 1.339 |
152 | −1.234 | 1.684 |
173 | −0.863 | 1.642 |
180 | −0.438 | 0.709 |
184 | −0.687 | 1.165 |
186 | −0.294 | 0.544 |
145 | −0.703 | −13.93 |
172 | −0.575 | 1.127 |
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Wang, Y.; Liu, J.; Zhang, Z.; Ren, S. A Novel Method for Line Selection for Cross-Line Two-Point Successive Grounding Faults Utilizing Transient and Steady-State Information. Energies 2024, 17, 950. https://doi.org/10.3390/en17040950
Wang Y, Liu J, Zhang Z, Ren S. A Novel Method for Line Selection for Cross-Line Two-Point Successive Grounding Faults Utilizing Transient and Steady-State Information. Energies. 2024; 17(4):950. https://doi.org/10.3390/en17040950
Chicago/Turabian StyleWang, Yizhao, Jian Liu, Zhihua Zhang, and Shuangxue Ren. 2024. "A Novel Method for Line Selection for Cross-Line Two-Point Successive Grounding Faults Utilizing Transient and Steady-State Information" Energies 17, no. 4: 950. https://doi.org/10.3390/en17040950