Abstract Due to the resonance between power factor correction capacitors and feeder inductors in closed-loop distribution network, the background harmonic voltage will be amplified, causing severe distortion of node voltage, which can affect the normal operation of electrical equipment and even endanger the personal safety of users. The current mainstream suppression scheme is resistive active power filter (RAPF) based on impedance matching principle, which is installed at the midpoint of closed-loop distribution network with conductance gain of Z/2 (Z is the characteristic impedance of the distribution feeder). The RAPF can effectively suppress background harmonic voltage amplification, but cannot further attenuate background harmonic voltage to achieve better suppression performance. Some improvement schemes based on RAPF can optimize suppression performance, but all come at the sacrifice of increasing costs (installing communication equipment or increasing the number of APFs). Firstly, the propagation law of background harmonic voltage on the closed-loop distribution feeder was analyzed by the distributed parameter model. The degree of amplification of background harmonic voltage on the feeder depends on the distance between the beginning of the feeder and the nearest antinode (including the antinode located on the left side of the harmonic source). The farther the distance, the more severe the amplification of background harmonic voltage. When the beginning of the feeder is exactly at the standing wave node, the amplification of the background harmonic voltage is most severe. On the contrary, when the beginning of the feeder is exactly at the standing wave antinode, the harmonic voltage amplification factor at all positions on the feeder will not be greater than 1, that is, the background harmonic voltage will not be amplified. Based on this, the suppression scheme based on the phase shift of harmonic voltage standing wave is proposed. The principle is to move the phase of the standing wave to make the antinode close to or exactly fall on the beginning of the feeder. The propose scheme can be divided into two suppression strategies: standing wave shifting to the left and standing wave shifting to the right. The two have different applicable ranges, according to the relationship between the length of the feeder and the suppressed harmonic wavelength, the suppression conditions are divided into three types, and the selection of the direction of standing wave movement and the calculation of the optimal control parameters are discussed separately. Finally, the proposed scheme is implemented through standing wave phase shifting based active power filter (SWPS-APF) and its control block diagram is provided. A 10 km long closed-loop distribution feeder simulation model was built in PLECS software to evaluate the suppression performance and compensation capacity of SWPS-APF under three operating conditions: no load on the feeder, 100 Ω load on the feeder, and feeder parameters changes. Experimental verification was conducted on a down-scaled experimental platform. Both simulation and experimental results indicate that the proposed scheme has significant advantages over mainstream RAPF schemes in terms of suppression performance and compensation capacity. In conclusion, compared with various existing suppression schemes, the proposed standing wave phase shifting scheme only requires the installation of an APF at the midpoint of the closed-loop distribution feeder, without the need for communication equipment, and has lower costs. However, it can achieve better suppression performance and less compensation capacity.
Zhang Min,Sun Xiaofeng,Zhu Yanping等. Applications of Standing Wave Phase Shifting Active Power Filters in Closed-Loop Distribution Power Systems[J]. Transactions of China Electrotechnical Society, 2025, 40(1): 203-216.
[1] 郭慧珠, 孟鑫, 贺明智, 等. 无通信高电能质量的微电网平滑切换控制策略[J]. 电工技术学报, 2022, 37(10): 2611-2621. Guo Huizhu, Meng Xin, He Mingzhi, et al.An enhanced power quality and smooth transition control strategy for a microgrid without remote pre-synchronization communication[J]. Transactions of China Electrotechnical Society, 2022, 37(10): 2611-2621. [2] 王怡, 杨知方, 余娟, 等. 考虑可靠性需求的配电网多种设备统一优化配置[J]. 电工技术学报, 2023, 38(24): 6727-6743. Wang Yi, Yang Zhifang, Yu Juan, et al.A unified optimal placement method for multiple types of devices in distribution networks considering reliability demand[J]. Transactions of China Electrotechnical Society, 2023, 38(24): 6727-6743. [3] 王杨, 唐俊苗, 赵劲帅, 等. 基于自适应虚拟阻抗控制的孤岛微电网电能质量优化策略[J]. 电力系统自动化, 2023, 47(7): 63-73. Wang Yang, Tang Junmiao, Zhao Jinshuai, et al.Power quality optimization strategy in islanded microgrid based on adaptive virtual impedance control[J]. Automation of Electric Power Systems, 2023, 47(7): 63-73. [4] 李勇, 刘珮瑶, 胡斯佳, 等. 基于感应滤波的光伏电站谐波谐振抑制方法[J]. 电工技术学报, 2022, 37(15): 3781-3793. Li Yong, Liu Peiyao, Hu Sijia, et al.Harmonic resonance damping method of photovoltaic power station based on inductive filtering[J]. Transactions of China Electrotechnical Society, 2022, 37(15): 3781-3793. [5] 叶宗彬, 侯波, 张延澳, 等. 一种三相对称系统快速谐波检测算法[J]. 电工技术学报, 2023, 38(2): 510-522. Ye Zongbin, Hou Bo, Zhang Yan'ao, et al.A fast harmonic detection algorithm for three-phase symmetric systems[J]. Transactions of China Electrotechnical Society, 2023, 38(2): 510-522. [6] 杨权, 梁永昌, 魏建荣, 等. 多谐波源下分布式电源并网逆变器的谐波抑制策略[J]. 电工技术学报, 2023, 38(11): 2908-2920. Yang Quan, Liang Yongchang, Wei Jianrong, et al.Research on harmonic suppression strategy of grid connected inverter under multi-harmonic sources[J]. Transactions of China Electrotechnical Society, 2023, 38(11): 2908-2920. [7] Akagi H.Control strategy and site selection of a shunt active filter for damping of harmonic propagation in power distribution systems[J]. IEEE Transactions on Power Delivery, 1997, 12(1): 354-363. [8] Akagi H, Fujita H, Wada K.A shunt active filter based on voltage detection for harmonic termination of a radial power distribution line[J]. IEEE Transactions on Industry Applications, 1999, 35(3): 638-645. [9] Wada K, Fujita H, Akagi H.Considerations of a shunt active filter based on voltage detection for installation on a long distribution feeder[J]. IEEE Transactions on Industry Applications, 2002, 38(4): 1123-1130. [10] Cheng P T, Lee T L.Distributed active filter systems (DAFSs): a new approach to power system harmonics[J]. IEEE Transactions on Industry Applications, 2006, 42(5): 1301-1309. [11] 孙孝峰, 曾健, 张芳, 等. 阻性有源滤波器分频控制位置的选择方案[J]. 中国电机工程学报, 2011, 31(28): 65-70. Sun Xiaofeng, Zeng Jian, Zhang Fang, et al.Site selection strategy of discrete frequency resistive active power filter[J]. Proceedings of the CSEE, 2011, 31(28): 65-70. [12] 孙孝峰, 王伟强, 沈虹, 等. 基于双阻性有源滤波器的背景谐波抑制策略[J]. 电工技术学报, 2016, 31(16): 145-153. Sun Xiaofeng, Wang Weiqiang, Shen Hong, et al.Background harmonic suppression based on double resistive active power filters[J]. Transactions of China Electrotechnical Society, 2016, 31(16): 145-153. [13] 吴振辉, 彭晓涛, 沈阳武, 等. 一种配电网环型供电模型及其合环运行方式的研究[J]. 中国电机工程学报, 2013, 33(10): 18, 57-63. Wu Zhenhui, Peng Xiaotao, Shen Yangwu, et al. Study on a loop power supply model and its loop-close operation mode for distribution network[J]. Procee-dings of the CSEE, 2013, 33(10): 18, 57-63. [14] Lee T L, Hu S H.Discrete frequency-tuning active filter to suppress harmonic resonances of closed-loop distribution power systems[J]. IEEE Transactions on Power Electronics, 2011, 26(1): 137-148. [15] 王宝诚, 杨理莉, 韩瑞静, 等. 环形配电网的分频调节阻性有源电力滤波器位置策略[J]. 电工技术学报, 2017, 32(4): 241-249. Wang Baocheng, Yang Lili, Han Ruijing, et al.Site selection strategy of discrete frequency tuned resistive active power filter for harmonic damping in loop power distribution systems[J]. Transactions of China Electrotechnical Society, 2017, 32(4): 241-249. [16] Sun Xiaofeng, Han Ruijing, Yang Lili, et al.Study of a novel equivalent model and a long-feeder simulator-based active power filter in a closed-loop distribution feeder[J]. IEEE Transactions on Industrial Electronics, 2016, 63(5): 2702-2712. [17] Sun Xiaofeng, Yang Lili, Wang Rui, et al.A novel impedance converter for harmonic damping in loop power distribution systems[J]. IEEE Journal of Emerging and Selected Topics in Power Electronics, 2016, 4(1): 162-173. [18] 沈虹, 李雪苗, 康佳, 等. 基于双点检测SRAPF的环形配电系统背景谐波衰减策略研究[J]. 太阳能学报, 2019, 40(2): 572-579. Shen Hong, Li Xuemiao, Kang Jia, et al.Research on harmonic mitigating based on double point detection of single resistive active power filter in closed-loop distribution sysems[J]. Acta Energiae Solaris Sinica, 2019, 40(2): 572-579. [19] 李雪苗. 基于双点检测SRAPF的配电网系统背景谐波衰减策略研究[D]. 秦皇岛: 燕山大学, 2017. Li Xuemiao.Research on harmonic mitigating based on double point detection of single resistive active power filter in distribution systems[D]. Qinghuangdao: Yanshan University, 2017. [20] Saito M, Takeshita T, Matsui N.Modeling and harmonic suppression for power distribution systems[J]. IEEE Transactions on Industrial Electronics, 2003, 50(6): 1148-1158. [21] Santana W C, Al-Haddad K, da Silva L E B. Modeling and active damping of harmonic propagation on electric distribution systems[C]//2009 IEEE Electrical Power & Energy Conference (EPEC), Montreal, QC, Canada, 2009: 1-7. [22] Sun Xiaofeng, Han Ruijing, Shen Hong, et al.A double-resistive active power filter system to attenuate harmonic voltages of a radial power distribution feeder[J]. IEEE Transactions on Power Electronics, 2016, 31(9): 6203-6216. [23] 邱关源. 电路[M]. 5版. 北京: 高等教育出版社, 2006.
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