Mitigation Strategy of Neutral-Point DC for Transformer Caused by Metro Stray Currents
Abstract
:1. Introduction
- (1)
- In the proposed method, considering the neutral DC magnitude and fluctuation characteristics, four indicators are proposed to evaluate the transformer DC bias risk. Then, the risk level of transformer DC bias is used as the mitigation constraint, and minimizing the number of BD installations is used as the optimizing objective.
- (2)
- In the optimizing process, the effect of metro train and urban power system operations on the BD installation placements are both considered. The Monte Carlo method is used to sample the metro train operations and a relation matrix is proposed to describe the connection structures and network topology of AC power systems. The mitigation strategy of transformer DC bias risk is obtained by collecting the BD installation placements under each sampling condition.
2. Evaluation Indicators of Transformer DC Bias Risk
2.1. Indicator
2.2. Indicator
2.3. Indicator
2.4. Indicator
3. Mitigation Method of Transformer DC Bias
3.1. Method Principle
3.2. Optimization Model of BD Installation
3.3. Calculation of BD Installation
3.3.1. Modeling of BD Installation
3.3.2. Sampling Operation of Metro Trains
3.3.3. Sampling Operation of Urban Power Grid
3.3.4. Calculation of BD Installation
4. Method Comparison and Application
4.1. Introduction of Urban Power System
4.2. Method Comparison
4.3. Comparison in Static Scenario
4.4. Comparison in Dynamic Scenario
4.5. Method Application
5. Conclusions
Author Contributions
Funding
Data Availability Statement
Conflicts of Interest
References
- Lin, S.; Wang, A.; Liu, M.; Lin, X.; Zhou, Q.; Zhao, L. A Multiple Section Model of Stray Current of DC Metro Systems. IEEE Trans. Power Deliv. 2021, 36, 1582–1593. [Google Scholar] [CrossRef]
- Du, G.; Wang, J.; Jiang, X.; Zhang, D.; Yang, L.; Hu, Y. Evaluation of Rail Potential and Stray Current With Dynamic Traction Networks in Multitrain Subway Systems. IEEE Trans. Transp. Electrif. 2020, 6, 784–796. [Google Scholar] [CrossRef]
- Xu, S.Y.; Li, W.; Wang, Y. Effects of Vehicle Running Mode on Rail Potential and Stray Current in DC Mass Transit Systems. IEEE Trans. Veh. Technol. 2013, 62, 3569–3580. [Google Scholar]
- Wang, A.; Lin, S.; Hu, Z.; Li, J.; Wang, F.; Wu, G.; He, Z. Evaluation Model of DC Current Distribution in AC Power Systems Caused by Stray Current of DC Metro Systems. IEEE Trans. Power Deliv. 2021, 36, 114–123. [Google Scholar] [CrossRef]
- Wang, A.; Lin, S.; Wu, J.; Zhang, H.; Li, J.; Wu, G.; He, Z. Relationship Analysis Between Metro Rail Potential and Neutral Direct Current of Nearby Transformers. IEEE Trans. Transp. Electrif. 2021, 7, 1795–1804. [Google Scholar] [CrossRef]
- Yu, K.; Ni, Y.; Zeng, X.; Peng, P.; Fan, X.; Leng, Y. Modeling and Analysis of Transformer DC Bias Current Caused by Metro Stray Current. IEEJ Trans. Electr. Electron. Eng. 2020, 15, 1507–1519. [Google Scholar] [CrossRef]
- Wang, A.; Lin, S.; He, Z.; Jingzhuo, Z.; Wu, G. Probabilistic Evaluation Method of Transformer Neutral Direct Current Distribution in Urban Power Grid Caused by DC Metro Stray Current. IEEE Trans. Power Deliv. 2023, 38, 541–552. [Google Scholar] [CrossRef]
- Rezaei-Zare, A. Behavior of Single-Phase Transformers Under Geomagnetically Induced Current Conditions. IEEE Trans. Power Deliv. 2014, 29, 916–925. [Google Scholar] [CrossRef]
- Etemadi, A.H.; Rezaei-Zare, A. Optimal Placement of GIC Blocking Devices for Geomagnetic Disturbance Mitigation. IEEE Trans. Power Syst. 2014, 29, 2753–2762. [Google Scholar] [CrossRef]
- Xie, Z.; Lin, X.; Zhang, Z.; Li, Z.; Xiong, W.; Hu, H.; Khalid, M.S.; Adio, O.S. Advanced DC Bias Suppression Strategy Based on Finite DC Blocking Devices. IEEE Trans. Power Deliv. 2017, 32, 2500–2509. [Google Scholar] [CrossRef]
- Rezaei-Zare, A.; Etemadi, A.H. Optimal Placement of GIC Blocking Devices Considering Equipment Thermal Limits and Power System Operation Constraints. IEEE Trans. Power Deliv. 2018, 33, 200–208. [Google Scholar] [CrossRef]
- Ma, S.; Lin, X.; Li, Z.; Jin, N.; Rong, Z.; Zhang, P.; Xu, H. A System-Level Suppression Method for DC Bias Based on Reverse Unbalanced Currents in the Same Transmission Section. IEEE Access 2021, 9, 126967–126975. [Google Scholar] [CrossRef]
- Guo, Y.; Du, Q.; Liu, Y.; Yang, F.; Chen, L.; Zhang, X.; Xiao, S.; Li, C.; Wu, G. Systematic protective scheme for mega-city power systems against stray currents caused by metro systems. High Volt. 2023, 8, 943–953. [Google Scholar] [CrossRef]
- Liang, Y.; He, D.; Zhu, H.; Chen, D. Optimal Blocking Device Placement for Geomagnetic Disturbance Mitigation. IEEE Trans. Power Deliv. 2019, 34, 2219–2231. [Google Scholar] [CrossRef]
- Wu, F.; Yu, S.; Zhao, Z.; Quan, W. Calculation and control of DC bias current distribution in an AC power system around a typical ±800 kV DC grounding electrode. J. Eng. 2019, 2019, 3145–3149. [Google Scholar] [CrossRef]
- Overbye, T.J.; Shetye, K.S.; Hutchins, T.R.; Qiu, Q.; Weber, J.D. Power Grid Sensitivity Analysis of Geomagnetically Induced Currents. IEEE Trans. Power Syst. 2013, 28, 4821–4828. [Google Scholar] [CrossRef]
- Ma, S.; Rong, Z.; Lin, X.; Jin, N.; Wang, Z.; Xing, J.; Peifu, Z. Study on the Global Optimal Configuration of DC Bias Equipment Considering the Cooperation of Multiple Devices. Proc. CSEE 2020, 40, 4387–4399. [Google Scholar]
- Ma, S.; Lin, X.; Li, Z.; Jin, N.; Rong, Z.; Zhang, P.; Xu, H. A Novel DC Bias Suppression Method Considering the Cooperation of Multiple Devices. IEEE Access 2021, 9, 130212–130220. [Google Scholar] [CrossRef]
- Du, G.; Zhu, C.; Jiang, X.; Li, Q.; Huang, W.; Shi, J.; Zhu, Z. Multiobjective Optimization of Traction Substation Converter Characteristic and Train Timetable in Subway Systems. IEEE Trans. Transp. Electrif. 2023, 9, 2851–2864. [Google Scholar] [CrossRef]
Method | Number | Installation Placements |
---|---|---|
Existing method | 66 | 3, 9−73 |
Proposed method | 44 | 2, 5, 6, 12, 13, 22, 23, 30−59, 61−64, 67, 70, 72 |
Method | Number | Installation Placements |
---|---|---|
Existing method | 67 | 3, 5, 9–73 |
Proposed method | 46 | 2, 5, 6, 7, 12, 13, 22, 23, 26, 30–59, 61–64, 67, 70, 72 |
Substation | Indicator | Substation | Indicator | ||
---|---|---|---|---|---|
Max | Max | ||||
2 | 48.64 | 0.21 | 42 | 95.58 | 81.41 |
3 | 28.61 | 0.005 | 43 | 90.22 | 59.90 |
6 | 75.57 | 20.28 | 44 | 49.34 | 0.45 |
7 | 52.46 | 1.27 | 45 | 86.59 | 48.41 |
9 | 55.16 | 1.90 | 46 | 82.74 | 39.45 |
10 | 65.92 | 7.24 | 47 | 93.03 | 76.06 |
11 | 63.67 | 6.45 | 49 | 93.80 | 72.85 |
12 | 49.38 | 0.79 | 50 | 81.60 | 31.79 |
13 | 54.54 | 1.55 | 51 | 79.60 | 22.85 |
14 | 84.37 | 40.43 | 52 | 95.69 | 82.12 |
31 | 93.57 | 75.63 | 53 | 97.72 | 90.48 |
32 | 82.52 | 41.27 | 54 | 39.60 | 0.15 |
33 | 90.99 | 73.11 | 55 | 38.12 | 0.10 |
34 | 84.46 | 46.51 | 56 | 31.87 | 0.03 |
35 | 87.11 | 61.23 | 59 | 93.58 | 86.52 |
36 | 90.53 | 72.15 | 61 | 91.67 | 82.51 |
38 | 88.08 | 59.38 | 62 | 94.09 | 86.88 |
40 | 97.25 | 28.90 | 72 | 83.30 | 46.82 |
Constraint Thresholds | Number | Installation Placement |
---|---|---|
0 | 48 | 2, 5, 6, 7, 12, 13, 22, 23, 26, 30–59, 61–64, 67, 70–73 |
0.01 | 44 | 2, 5, 6, 12, 13, 22, 23, 30–59, 61-64, 67, 70,71 |
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Wang, A.; Lin, S.; Wu, G.; Li, X. Mitigation Strategy of Neutral-Point DC for Transformer Caused by Metro Stray Currents. Electronics 2024, 13, 2467. https://doi.org/10.3390/electronics13132467
Wang A, Lin S, Wu G, Li X. Mitigation Strategy of Neutral-Point DC for Transformer Caused by Metro Stray Currents. Electronics. 2024; 13(13):2467. https://doi.org/10.3390/electronics13132467
Chicago/Turabian StyleWang, Aimin, Sheng Lin, Guoxing Wu, and Xiaopeng Li. 2024. "Mitigation Strategy of Neutral-Point DC for Transformer Caused by Metro Stray Currents" Electronics 13, no. 13: 2467. https://doi.org/10.3390/electronics13132467
APA StyleWang, A., Lin, S., Wu, G., & Li, X. (2024). Mitigation Strategy of Neutral-Point DC for Transformer Caused by Metro Stray Currents. Electronics, 13(13), 2467. https://doi.org/10.3390/electronics13132467