Study of number and size of air-gaps in core of shunt reactors in tranmission lines of high and supper high voltages
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https://doi.org/10.54939/1859-1043.j.mst.80.2022.23-30Keywords:
Cuộn kháng bù ngang, Phương pháp giải tích, Phương pháp phần tử hữu hạn, Số lượng khe hở, Kích thước khe hở, Điện cảmAbstract
The air-gaps are designed on the core of shunt reactors to increase the reluctance of the magnetic circuit, to increase the stored energy and to obtain the required reactive power. The volume of the air-gaps depends on the capacity of the shunt reactors. In fact, the more reactive power the shunt reactor has, the more volume and length of the air-gap the shunt reactor needs. However, the leakage flux appearing around the air-gap will directly affect to the inductance parameters and the reactive power of the shunt reactor. For a large air-gap, the leakage flux appearing around the air-gap will have a large radius and will loop into the winding, resulting in a large total inductance. Therefore, dividing a large length air-gap into smaller air-gaps distributed on the core will reduce the total inductance value. The number of the air-gaps to be splitted depends on the capacity of the shunt reactor and the mains voltage. In this paper, the authors combine the analytical method based on the theory of magnetic circuit model to determine the main parameters of the shunt reactor, then the finite element method is used to determine the number of the air-gaps and the appropriate air-gaps size on the core of the shunt reactors.
References
[1]. N. Petcharaks, C. Yu, and C. Panprommin, “A study of Ferranti and energization overvoltages case of 500 kV line in Thailand,” in 1999 Eleventh International Symposium on High Voltage Engineering, vol. 1, pp. 291–294 vol.1. doi: 10.1049/cp:19990564, (1999).
[2]. G. Chavan, S. Acharya, S. Bhattacharya, D. Das, and H. Inam, “Application of static synchronous series compensators in mitigating Ferranti effect,” in 2016 IEEE Power and Energy Society General Meeting (PESGM), pp. 1–5. doi: 10.1109/PESGM.2016.7741380, (2016).
[3]. Reshma Tarannum and Rashmi Singh, “Reducing Ferranti Effect in Transmission Line using Dynamic Voltage Restorer,” International Conference on Science and Engineering for Sustainable Development (ICSESD-2017), pp. 45–50, (2017).
[4]. Zahra Norouzian, “Shunt Reactors: Optimizing Transmission Voltage System,” ABB Transformers and Reactors. ABB Transformers and Reactors, (2016).
[5]. Jinhao Hu, Pei Yuan, Xin Li, and Yun Liu, “Analysis on the Necessity of High-Voltage Shunt Reactors in Power Grid,” 2020 10th International Conference on Power and Energy Systems (ICPES), 2020, pp. 83-87, doi: 10.1109/ICPES51309.2020.9349640., (2020).
[6]. C. S. Indufiar, “Required Shunt Compensation for an EHV Transmission Line Sending-end System,” in IEEE Power Engineering Review, vol. 19, no. 9, pp. 61-62, doi: 10.1109/MPER.1999.1236746, (1999).
[7]. J. Hu, P. Yuan, X. Li, and Y. Liu, “Analysis on the Necessity of High-Voltage Shunt Reactors in Power Grid; Analysis on the Necessity of High-Voltage Shunt Reactors in Power Grid,” 2020 10th International Conference on Power and Energy Systems (ICPES), doi: 10.1109/ICPES51309.2020.9349640/20/, (2020).
[8]. R. Jez, “Influence of the Distributed Air Gap on the Parameters of an Industrial Inductor,” IEEE Transactions on Magnetics, vol. 53, no. 11, doi: 10.1109/TMAG.2017.2699120, (2017).
[9]. M. Christoffel, “The Design and Testing of EHV Shunt Reactors,” IEEE Transactions on Power Apparatus and Systems, vol. PAS-86, no. 6, pp. 684–692, doi: 10.1109/TPAS.1967.291879, (1967).
[10]. A. Ayachit and M. K. Kazimierczuk, “Sensitivity of effective relative permeability for gapped magnetic cores with fringing effect,” IET Circuits, Devices and Systems, vol. 11, no. 3, pp. 209–215, doi: 10.1049/iet-cds.2016.0410, (2017).
[11]. L. M. Escribano, R. Prieto, J. A. Oliver, J. A. Cobos, and J. Uceda, “New modeling strategy for the fringing energy in magnetic components with air gap,” APEC. Seventeenth Annual IEEE Applied Power Electronics Conference and Exposition (Cat. No.02CH37335), vol. 1, pp. 144–150, doi: 10.1109/APEC.2002.989240, (2002).
[12]. V. Valchev, A. van den Bossche, and T. Filchev, “2-D FEM Tuned Analytical Approximation for Fringing Permeances,” Scientific Computing in Electrical Engineering. Mathematics in Industry, vol. 4, doi: doi.org/10.1007/978-3-642-55872-6_44, (2004).
[13]. T. P. Minh et al., “Finite Element Modeling of Shunt Reactors Used in High Voltage Power Systems,” Engineering, Technology & Applied Science Research, vol. 11, no. 4, pp. 7411–7416, doi: 10.48084/etasr.4271, (2021).
[14]. Phạm Minh Tú, Bùi Đức Hùng, Trần Văn Thịnh, Đặng Quốc Vương, Phùng Anh Tuấn, and Đặng Chí Dũng, “Nghiên cứu ảnh hưởng của số lượng khe hở đến giá trị điện cảm của cuộn kháng bù ngang,” Tạp chí Khoa học và Công nghệ Đại học Thái Nguyên, vol. 226, no. 11, pp. 268–276, (2021).
[15]. Pham Minh Tu, Bui Duc Hung, Tran Van Thinh, Dang Chi Dung, and Dang Quoc Vuong, “Investigating Effects of Distance Air-Gaps on Iron-Core Shunt Reactors,” in Advances in Engineering Research and Application, pp. 545–557, (2022).
[16]. A. Balakrishnan, W. T. Joines, and T. G. Wilson, “Air-Gap Reluctance and Inductance Calculations for Magnetic Circuits Using a Schwarz-Christoffel Transformation,” in IEEE Transactions on Power Electronics, doi: 10.1109/63.602560., vol. 12, no. 4, pp. 654–663, (1997).