10-Point DFT and its Application in Power System Harmonic Analysis

Abstract:

In this paper, an efficient algorithm for computing 10-point DFT, radix-10 FFT algorithm for computing 10^M-point DFT and N=L×10^M-point DFT are presented. FFT is often employed in power systems harmonics analysis even though it is not accurate due to spectral leakage and barrier effect. When N=L×10^M-point DFTs are used to analyze harmonics in power systems, comparing to N=2^M-point DFTs, very accurate harmonic parameters can be obtained. The simulation results in MATLAB show that the methods are feasible and effective to enhance analysis accuracy.

• Periodical: Advanced Materials Research (Volumes 433-440)
• Pages: 7458-7464
• DOI: https://doi.org/10.4028/www.scientific.net/AMR.433-440.7458
• Online since: January 2012
• Authors: Dao Lin Li, Hai Jun Li
• Keywords: 10-Point DFT, Algorithm Combination, Harmonic Analysis, Power System

References

[1] H. J. Li and R. F, An efficient algorithm of 10-point DFT and its applications,. 2010 International Conference on Electrical and Control Engineering, iCECE 2010, IEEE Computer Society, Jun. 2010, pp.4642-4645, DOI 10. 1109/iCECE. 2010. 1122.

DOI: 10.1109/icece.2010.1122

[2] G. S. Hu, Digital Signal Processing-Theory, Algorithm and Reality, Second Edition, Tsinghua University Press, Beijing, 2003. (In Chinese).

[3] H. J. Li, C. J. Yan and W. B. Peng, Double Factors Algorithm for Computing DFT, 2009 International Conference on Image Analysis and Signal Processing (IASP 2009), IEEE Press, Apr. 2009, pp.133-137.

DOI: 10.1109/iasp.2009.5054641

[4] C. Sidney Burrus. (2009) Fast Fourier Transforms. [Online]. Available: http: /cnx. org/content/col10550/1. 18.

[5] Zhang Fusheng, Geng Zhongxing and Ge Yaozhong, FFT ALGORITHM WITH HIGH ACCURACY FOR HARMONIC ANALYSIS IN POWER SYSTEM", PROCEEDINGS OF THE CHINESE SOCIETY FOR ELECTRICAL ENGINEERING, 1999 ", (3).

[6] Fusheng Zhang, Zhongxing Geng and Wei Yuan, The algorithm of interpolating windowed FFT for harmonic analysis of electric power system", IEEE Transactions on Power Delivery, IEEE Power & Energy Society , 16 Issue: 2, Apr 2001, pp.160-164.

DOI: 10.1109/61.915476

[7] Hai-yan Zhang, Xin-ping Yan, Dan-ping Qi and Wen-hua Jiao, A Precise Method for Detecting Harmonics in Electric Power System Based on Wavelet Package Transform, Advances in Soft Computing, Springer Berlin / Heidelberg, Fuzzy Information and Engineering Volume 2, 2009, pp.347-356.

DOI: 10.1007/978-3-642-03664-4_39

[8] Jiang Jianguo, Piao xiaoguang, Zhao Changhe, Huang Zheng and Zhao dongmei, Method for detecting and analysiing harmonics in power systems", JOURNAL OF DAQING PETROLEUM INSTITUTE, 01-2002. (In Chinese).

[9] Wang ping and Ding Li, "Power System Harmonic Measurement Analysis Based on Windows and Interpolated FFT, JIANGSU ELECTRICAL ENGINEERING, 02-2008. (In Chinese).

[10] Qian Hao and Zhao Rongxiang, FFT Algorithm with High Accuracy for Harmonic Analysis in Power System, JOURNAL OF SOUTHERN YANGTZE UNIVERSITY (NATURAL SCIENCE EDITION), 05-2006. (In Chinese).

[11] Xie Hui and Yang Rengang, PRECISE ALGORITHMS FOR HARMONIC ANALYSIS BASED ON FFT ALGORITHM, PROCEEDINGS OF THE CHINESE SOCIETY FOR ELECTRICAL ENGINEERING, 12-2002. (In Chinese).

[12] Cheng Chunlin, Shao Yanjie and Cao Yingli, "Harmonic Analysis of Power System Based on FFT, 01-2009. (In Chinese).

[13] Liu Min and Wang keying, A Harmonic Analysis Method Based on Fast Fourier Transform and Minimal Error Principle, POWER SYSTEM TECHNOLOGY, 19-2006. (In Chinese).

[14] Rong Haizhou and Su shiping, Improved FFT Method for Harmonic Analysis Base on Least Square Method, PROCEEDINGS OF THE CHINESE SOCIETY OF UNIVERSITIES, 01-2009. (In Chinese).

[15] Jin Quanyi and Peng Anquan, Non-integer Harmonics Parameter Measurement Algorithm Based on FFT", CONTROL & AUTOMATION, 10-2006. (In Chinese).

[16] Hu Zhenhua, Wang Haibin and Zhang Jianyi, FFT Algorithm with High Accuracy for Harmonic Analysis in Industry Power System, PROCEEDINGS OF THE CHINESE SOCIETY OF UNIVERSITIES, 03-2009. (In Chinese).

[17] (2009)Wikipedia. the free encyclopedia. [Online]. Available: http: /en. wikipedia. org/wiki/Fast_Fourier_transform.