李石强, 王鹤, 于华楠. 基于稀疏字典原子共享的电力系统谐波动态监测方法[J]. 中国电机工程学报, 2024, 44(24): 9559-9570. DOI: 10.13334/j.0258-8013.pcsee.231404
引用本文: 李石强, 王鹤, 于华楠. 基于稀疏字典原子共享的电力系统谐波动态监测方法[J]. 中国电机工程学报, 2024, 44(24): 9559-9570. DOI: 10.13334/j.0258-8013.pcsee.231404
LI Shiqiang, WANG He, YU Huanan. A Dynamic Harmonic Monitoring Method for Power System Based on Sparse Dictionary Atom Sharing[J]. Proceedings of the CSEE, 2024, 44(24): 9559-9570. DOI: 10.13334/j.0258-8013.pcsee.231404
Citation: LI Shiqiang, WANG He, YU Huanan. A Dynamic Harmonic Monitoring Method for Power System Based on Sparse Dictionary Atom Sharing[J]. Proceedings of the CSEE, 2024, 44(24): 9559-9570. DOI: 10.13334/j.0258-8013.pcsee.231404

基于稀疏字典原子共享的电力系统谐波动态监测方法

A Dynamic Harmonic Monitoring Method for Power System Based on Sparse Dictionary Atom Sharing

  • 摘要: 随着新型负荷和分布式电源(distributed generations,DGs)的广泛接入,电力系统中谐波问题日渐凸显,对各并网点进行谐波监测是电网谐波污染责任划分、溯源和治理的前提。针对谐波信号随机性强、特征不明显导致监测困难的问题,该文提出一种基于字典原子共享的电力系统谐波动态监测方法。首先,对电网谐波特性进行分析,提出一种基于压缩感知稀疏字典原子共享和复用的谐波动态监测架构,实现电网运行数据的连续动态采样;然后在此框架下,提出一种基于残差能量的稀疏度自适应匹配追踪(residual energy based sparsity adaptive matching pursuit,REB-SAMP)算法,通过计算每次迭代后的残差能量来表征原始数据被稀疏分解程度,并基于此制定算法的迭代终止判别和变步长策略;此外,将Gabor过完备稀疏字典与傅里叶稀疏字典级联构建超完备合成字典,提升算法对谐波监测数据的稀疏表示性能;最后,基于PSCAD/EMTDC仿真平台搭建分布式电源并网系统,验证所提算法的合理性和有效性。仿真结果表明:所提算法更易感知并网点谐波情况,具有重构精度高、抗噪性强、收敛性好的优点。

     

    Abstract: With the wide access of novel load and distributed generations (DGs), the harmonic problem in power system is becoming more and more prominent. Harmonic monitoring at grid connection points is the premise of responsibility division, source tracing and suppression of harmonic pollution. Aiming at the problem that harmonic signal is difficult to monitor due to its strong randomness and subtle characteristics, this paper proposes a dynamic harmonic monitoring method in power system based on sparse dictionary atoms sharing. First, the characteristics of harmonic in power system are analyzed, and a harmonic dynamic monitoring architecture based on sharing and multiplexing the over completed dictionary atoms of compressed sensing is proposed to realize continuous dynamic sampling of power grid operation data. Then, a residual energy-based sparsity adaptive matching pursuit (REB-SAMP) algorithm is proposed, which characterizes the degree of sparse decomposition of the original data by calculating the residual energy after each iteration. Based on this residual energy, an iterative termination criterion and a variable step-size strategy are formulated for the algorithm. In addition, by cascading Gabor over-complete sparse dictionary and Fourier sparse dictionary, the super-complete synthetic dictionary is constructed, which improves the sparse representation performance for harmonic monitoring data. Finally, a distributive generation system is built based on PSCAD/EMTDC simulation platform to verify the rationality and effectiveness of the proposed algorithm. The simulation shows that the proposed algorithm is easier to detect the harmonics at the points of common coupling (PCC), and has the advantages of higher reconstruction accuracy, better convergence and stronger anti-noise performance.

     

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