谐波和间谐波干扰严重影响电力系统的正常运行，将快速傅里叶变换(FFT)和采用局部优化的匹配追踪算法相结合，并构造离散正弦字典，实现在含有噪声、基波频率偏移和频率相近的间谐波情况下的谐波和间谐波参数检测。采用循环迭代方法，按照能量大小，依次提取出谐波和间谐波扰动成分，每次迭代首先用FFT估计出当前频率参数，并搜索该频率下的相位，然后以该频率和相位作为初值，用Nelder-Mead算法获得优化后的频率和相位值，并通过MP算法提取出匹配信号表达式，进而获得幅值参数。仿真结果表明本文提出的算法计算复杂度低、物理意义清晰，具有较好的检测精度和抗噪性能。
Abstract
Harmonic and inter-harmonic disturbances seriously affect the normal operation of power system, and a FFT and local optimized matching pursuit (MP) based on sinusoid dictionary method is used to detect the waveform parameters in case of noise, fundamental frequency deviation and similar inter-harmonic frequency with harmonic or fundamental frequency. According to the amount of energy, the harmonic and inter-harmonic disturbances are extracted in turn through iteration. During each iteration, firstly，FFT is used to estimate the current frequency parameter, and then the phase is searched under this frequency; further, the Nelder-Mead algorithm is used to acquire the optimized frequency and phase that exact matches with the disturbance. Finally, the signal expression matching with harmonic or inter-harmonic is gained by MP, and the amplitude is acquired. The simulation results show that the proposed approach has good detection precision and anti-noise performance.
关键词
谐波 /
间谐波 /
匹配追踪 /
正弦字典 /
时频原子 /
优化计算
{{custom_keyword}} /
Key words
harmonic /
inter-harmonic /
matching pursuit /
sinusoid dictionary /
time-frequency atom /
optimal computation
{{custom_keyword}} /
{{custom_sec.title}}
{{custom_sec.title}}
{{custom_sec.content}}
参考文献
［1］ 祁才君, 王小海 (Qi Caijun, Wang Xiaohai). 基于插值FFT算法的间谐波参数估计(Interharmonic estimation based on interpolating FFT algorithm) ［J］. 电工技术学报(Transactions of China Electrotechnical Society), 2003, 18(3): 92-95.
［2］ 张鹏, 李红斌 (Zhang Peng, Li Hongbin). 一种基于离散小波变换的谐波分析方法(A novel algorithm for Harmonic analysis based on discrete wavelet transforms) ［J］. 电工技术学报 (Transactions of China Electrotechnical Society), 2012, 27(3): 252-259.
［3］ 苏玉香, 刘国平, 沈晓群, 等 (Su Yuxiang, Liu Guoping, Shen Xiaoqun, et al.). 改进的Hilbert-Huang变换在船舶电网谐波检测中的应用 (Improved Hilbert-Huang trans-form applied in power quality detection in marine power system) ［J］. 电工电能新技术 (Advanced Technology of Electrical Engineering and Energy), 2011, 30(3): 10-14.
［4］ 杨玉坤, 杨明玉 (Yang Yukun, Yang Mingyu). Prony算法在谐波、间谐波参数辨识中的应用 (Application of Prony algorithm in parameter identification of harmonics and inter-harmonics) ［J］. 电力系统及其自动化学报(Proceedings of the CSU-EPSA), 2012, 24(3): 121-126.
［5］ 张惠娟, 汪友华, 王艳延, 等 (Zhang Huijuan, Wang Youhua, Wang Yanyan, et al.). 基于AR模型的电力系统间谐波分析 (Power system interharmonics analysis based on autoregression model) ［J］. 电工技术学报 (Transactions of China Electrotechnical Society), 2010, 25(7): 144-149.
［6］ 孟玲玲, 孙常栋, 王晓东 (Meng Lingling, Sun Changdong, Wang Xiaodong). 基于噪声子空间分解MUSIC函数的谐波/间谐波检测算法(Harmonic/inter-harmonic detection based on DNS-MUSIC function) ［J］. 电力自动化设备(Electric Power Automation Equipment), 2012, 32(2): 89-94.
［7］ 张静, 徐政, 牛卢璐 (Zhang Jing, Xu Zheng, Niu Lulu). TLS-ESPRIT 在电力系统信号高精度频谱估计中应用(Application of TLS-ESPRIT in high resolution spectrum estimation of power system signal) ［J］. 电力自动化设备(Electric Power Automation Equipment), 2009, 29(5): 48-51.
［8］ 张宇辉, 段伟润, 李天云 (Zhang Yuhui, Duan Weirun, Li Tianyun). 基于多级EEMD和WVD分布的谐波/间谐波检测方法(Method to detect harmonics and inter-harmonics based on multiple-level EEMD and Wigner-Ville distribution) ［J］. 电工电能新技术 (Advanced Technology of Electrical Engineering and Energy), 2015, 34(3): 66-71.
［9］ 侯世英, 张文玉, 孙韬, 等 (Hou Shiying, Zhang Wenyu, Sun Tao, et al.). 基于正交优化时频原子分解算法的电能质量扰动匹配特征分析 (Analysis on matching features of power quality disturbances based on orthogonal optimization of time-frequency atom decomposition) ［J］. 电网技术(Power System Technology), 2013, 37(3): 647-652.
［10］ 李明, 张葛祥, 王晓茹 (Li Ming, Zhang Gexiang, Wang Xiaoru). 时频原子方法在间谐波分析中的应用(Application of time-frequency atom method in inter-harmonics analysis) ［J］. 电网技术 (Power System Technology), 2009, 33(17): 81-85.
［11］ 张英杰, 龚庆武, 李勋, 等 (Zhang Yingjie, Gong Qingwu, Li Xun, et al.). 基于 PSO 的原子分解法在间谐波分析中的应用 (Application of atomic decomposition based on PSO in inter-harmonics analysis) ［J］. 电力系统保护与控制 (Power System Protection and Control), 2013, 41(15): 41-48.
［12］ Mallat S G, Zhang Z F. Matching pursuits with time-frequency dictionaries ［J］. IEEE Transactions on Signal Processing, 1993, 41(12): 3397-3415.
［13］ 卢泽华, 罗日成, 黄彪, 等 (Lu Zehua, Luo Richeng, Huang Biao, et al.). 协同进化蜜蜂算法结合谱估计的间谐波参数分析 (Analysis of inter-harmonics parameters using co-evolutionary bees algorithm and spectral estimate) ［J］. 中南大学学报 (Journal of Central South University), 2014, 45(8): 2654-2660.
［14］ Leonowicz Z, Lobos T, Rezmer J. Advanced spectrum estimation methods for signal analysis in power electronics ［J］. IEEE Transactions on Industrial Electronics, 2003, 50(3): 514-519.
{{custom_fnGroup.title_cn}}
脚注
{{custom_fn.content}}
PDF(827 KB)
