中国电机工程学报
中國電機工程學報
중국전궤공정학보
Proceedings of the CSEE
2015年
21期
5475-5482
,共8页
谐波%间谐波%压缩感知%基波滤除谱投影梯度算法
諧波%間諧波%壓縮感知%基波濾除譜投影梯度算法
해파%간해파%압축감지%기파려제보투영제도산법
harmonics%inter-harmonics%compressed sensing%spectral projected gradient with fundamental filter (SPG-FF) algorithm
压缩感知(compressed sensing，CS)技术在采样中完成对数据的压缩，相比传统Nyquist采样方法有效降低采样信号数据量，克服采样端压缩复杂度高，对硬件需求大的缺点。该文通过理论证明指出电网信号基波–谐波稀疏度特性，并基于此特性提出一种新型基波滤除谱投影梯度算法(SPG- FF)。通过西门子Benchmark 0.4kV电网通用模型实验，结果表明SPG-FF算法比现有方法有效提升了谐波检测精度和信号重构精度，对谐波和间谐波的检测误差分别小于6.8×10?5和6.2×10?3，重构信号的信噪比高于89 dB。
壓縮感知(compressed sensing，CS)技術在採樣中完成對數據的壓縮，相比傳統Nyquist採樣方法有效降低採樣信號數據量，剋服採樣耑壓縮複雜度高，對硬件需求大的缺點。該文通過理論證明指齣電網信號基波–諧波稀疏度特性，併基于此特性提齣一種新型基波濾除譜投影梯度算法(SPG- FF)。通過西門子Benchmark 0.4kV電網通用模型實驗，結果錶明SPG-FF算法比現有方法有效提升瞭諧波檢測精度和信號重構精度，對諧波和間諧波的檢測誤差分彆小于6.8×10?5和6.2×10?3，重構信號的信譟比高于89 dB。
압축감지(compressed sensing，CS)기술재채양중완성대수거적압축，상비전통Nyquist채양방법유효강저채양신호수거량，극복채양단압축복잡도고，대경건수구대적결점。해문통과이론증명지출전망신호기파–해파희소도특성，병기우차특성제출일충신형기파려제보투영제도산법(SPG- FF)。통과서문자Benchmark 0.4kV전망통용모형실험，결과표명SPG-FF산법비현유방법유효제승료해파검측정도화신호중구정도，대해파화간해파적검측오차분별소우6.8×10?5화6.2×10?3，중구신호적신조비고우89 dB。
Compressed sensing technique can accomplish data compression during the process of sampling. As a result, it can avoid common problems like large data storage capacity, waste of storage space and high complexity of compression in sampling side when collecting harmonic-information under the Nyquist sampling framework. This paper revealed the sparsity of harmonic components in power electrical systems, and presented the mathematical proof. Based on these findings, this paper proposed a novel reconstruction algorithm, which was named the spectral projected gradient with fundamental filter (SPG-FF) algorithm. Results of experiments from Siemens Benchmark 0.4 kV grid model had shown that the SPG-FF algorithm was able to enhance the accuracy of harmonic detection and precision of signal reconstruction. Specifically, the detection accuracy of harmonics and inter-harmonics is within 6.8×10?5and 6.2×10?3, and the SNR of reconstructed signals are above 89dB.
