A method of power system harmonic detection based on wavelet transform
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1 4 5 Vol.4 No Power Sytem Protection and Control Aug., 22 A method o power ytem harmonic detection baed on wavelet tranorm ZENG Rui-jiang, YANG Zhen-bin 2, LIU Hui-chao 2 (. Electric Power Reearch Intitute, Guangdong Power Grid Corporation, Guangdong 5, China; 2. Anhui CSG Smart Grid Technology Co. Ltd, Heei 2388, China) Abtract: Baed on the wavelet multi-reolution analyi, a kind o ampling requency election method i propoed. It i eective in extracting the undamental wave ignal and the given harmonic ignal. Harmonic ignal i analyzed with wavelet tranorm, reaonable decompoition level are elected, and then the harmonic detection reult caued by ampling requency in dierent range are dicued. The correctne o the method i teted by imulation. Finally, the method i ued in F282DSP baed harmonic detection device or long time operation and tet in the ditribution network automation ytem. Reult how that the method ha a at computing peed, a quick reaction, and a real-time tracking o harmonic change. Key word: wavelet tranorm; harmonic analyi; DSPF282; ampling requency; multi-reolution analyi TM7 A (22) (FFT) [-2] [3] - [4-5] [6-7] Matlab F282DSP [8] L 2 ( R) () t () t (Continuou
2 Wavelet Tranorm, CWT) t WT a, t, a, t t d t a, R, a a R a () WT ( a,b) () t () t a b [9] VVWV2W2 WV3W3W2W (2) x() t V W V V Mallat d j a j j d j a j A j D j V 4 V 3 V 2 W 4 Fig. Decompoition diagram o wavelet tranorm multireolution analyi o our layer pace V W 3 V W 2 W [] c 2 c [-2] 2 3 a 4 d4 d3 d2 d Fig. 2 Frequency diviion map o wavelet tranorm our layer decompoition a5 d d 4 6 d 3 8 d 2 4 Fig. 3 Frequency diviion map o wavelet tranorm ive layer decompoition 3 5 Hz 5 Hz 25 Hz j j Hz 35 Hz 45 Hz j j2 2 2 (3) j Hz < < 3 Hz (4) 5 Hz < < 25 Hz 25 Hz < < 75 Hz 87 Hz < <2 Hz d 2 2 (5) (6) (7) (4)~(7)
3 (3) 3 5 (4) ~(6) 5 Hz < < 75 Hz (8) 4 8 Hz < < 5 6 Hz 96~2 75 Hz < < 25 Hz 5 6 Hz < < 8 Hz 25 Hz < < 3 Hz 8 Hz < < 9 6 Hz 3 Hz 96Hz 5 Hz (3) ~ Hz Hz(8) 5 Hz < < 75 Hz Matlab db4 t in2π 5t in2π 5t 5.2in2π 25t 7.in2π 35t ' t in2π 5 t+.3in2π 5 t +.2in 2π 25 t +.in 2π 35t (8) 4 8~5 6 Hz 5 6 Hz 2 3 A53 D55 D47 D A5 D D5D4D FFT DFFT D2FFT D3FFT FFT A5FFT D4FFT D5FFT Fig. 4 Simulation diagram o ampling requency in ampling range
4 Hz D3 D4 7 D4 Fig. 5 Simulation diagram o ampling requency greater than the ampling range 4 Hz D4 5 D3 F282DSP Matlab 7 [3] Fig. 6 Simulation diagram o ampling requency le than the ampling range Fig. 7 Application example igure Fig. 8 Structure diagram o harmonic detecting device
5 - 39-8,,. Meyer FFT [J]., 2, 39(2): 9-93,. FANG Guo-zhi, YANG Cai-han, YANG Chao. Detection o inter-harmonic in power ytem baed on Meyer wavelet and FFT[J]. Power Sytem Protection and Control, 2, 39(2): 9-93,.,,. FFT [J]., 25, 2(): JIANG Jian-bo, LIU Xian-xing, WANG De-ming. Application o FFT and wavelet tranorm to meaurement o harmonic in power ytem[j]. High Voltage Engineering, 25, 2(): ,,. DFT [J]., 2, 48(54): 6-9. LI Yi-hua, DUAN Hu, ZHOU Li-ming. Harmonic detection baed on liding-window iterative o dicrete ourier tranorm and wavelet tranorm[j]. Electrical Meaurement & Intrumentation, 2, 48(54): [D]. :, 29. ZHOU Yang-ning. Detection and reearch on harmoniou wave baed on wavelet tranrom[d]. Wuhan: Wuhan Univerity o Technology, 29.. [J]., 29, 2(3): WANG Song, SHI Shuang-huang, LI De-he, et al. A new method o power harmonic detection baed on wavelet[j]. Journal o Sytem Simulation, 29, 2(3): ,,,. - Hilbert [J]., 29, 37(6): ZHOU Xi-chao, LIU Jun, ZHENG Wei, et al. Harmonic analyi baed on wavelet-mathematical morphology and Hilbert[J]. Power Sytem Protection and Control, 29, 37(6): 2-23.,,,. [J]., 2, 38(22): YANG Jie, WANG Jin-hao, ZHANG Xue-meng, et al. Analyi o voltage ag ource location baed on wavelet multireolution method[j]. Power Sytem Protection and Control, 2, 38(22): 9-95.,,,. DB8 [J]., 2, 26(2): ZHU Xiang, XIE Da, GAO Qiang, et al. On the application o analyzing power ytem harmonic uing DB8[J]. Journal o Electric Power Science and Technology, 2, 26(2): 67-7.,,,. [J]., 2, 4(3): WU Shi-hong, WANG Hong, CHU Guo-li, et al. Meaurement o harmonic in electric power ytem baed on wavelet packet tranorm[j]. Journal o Shenyang Agricultural Univerity, 2, 4(3): ,,,. [J]., 2, 22(): ZHOU Long-hua, FU Qing, YU Shi-jie, et al. Harmonic detection baed on wavelet tranorm[j]. Proceeding o the CSU-EPSA, 2, 22(): 8-85.,. [J]., 29(2): 46-47, 7. ZHANG Yan, Lü Wei-jie. Analyi and detection o power ytem inter-harmonic baed on wavelet tranorm[j]. Electric Switchgear, 29(2): 46-47, 7.,,,. [J]., 29, 33(7): CAO Jian, LIN Tao, LIU Lin, et al. A method to meaure inter-harmonic in power ytem baed on leat quare method and complex continuou wavelet tranorm[j]. Power Sytem Technology, 29, 33(7): 86-9.,,,. [J]., 2, 3(2): 9-5. ZHAO Guang-chao, TANG Jin-hua, HUANG Ji-eng, et al. Application o wavelet analyi in the power ytem harmonic uppreion[j]. Example o Application, 2, 3(2): 9-5. E-mai: yangzb8@yahoo.com.cn
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