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Normalized estimation of fundamental frequency and measurement of harmonics/interharmonics

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Abstract

An adaptive notch filter is presented to estimate the fundamental frequency and measure both harmonics and interharmonics of an almost periodic signal with unknown time-variant fundamental frequency, which has the robustness that the convergence speed is determined by neither amplitude nor frequency of fundamental component. The algorithm forms a one-dimensional slow adaptive integral manifold whose existence and stability are proved by averaging method and Lyapunov stability theorem. The local exponential stability and the ultimate boundedness of fundamental frequency estimation are proved. The local exponential stability makes sure that the fundamental frequency, the harmonic and interharmonic components can be all fast tracked. The principle for adjusting the parameters with their influences on transient and steady-state performance is investigated and decreasing parameters can improve noise characteristic. The validity is verified by simulation results.

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Authors and Affiliations

  1. School of Electrical Engineering and Automation, Hefei University of Technology, Hefei Anhui, 230009, China

    Zhaobi Chu, Ming Ding, Shaowu Du & Xueping Dong

Authors
  1. Zhaobi Chu
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  2. Ming Ding
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  3. Shaowu Du
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  4. Xueping Dong
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Corresponding author

Correspondence to Zhaobi Chu.

Additional information

This work was supported by the National Natural Science Foundation of China (Nos. 51177035, 50837001, 51177037, 60974022) and the Science and Research Development Foundation of Hefei University of Technology (No. GDBJ2010-003).

Zhaobi CHU received his M.S. degree in Automation and Ph.D. degree in Power Electronics from Hefei University of Technology (HFUT), Hefei, China, in 1996 and 2009, respectively. He is an associate professor of School of Electrical Engineering and Automation, HFUT. His research interests include adaptive signal processing, nonlinear control system, and power quality analysis.

Ming DING received his M.S. degree from Xian Jiaotong University in 1984. He is a professor of School of Electrical Engineering and Automation, Hefei University of Technology, Hefei, China. His research interests include power system planning, renewable energy, and FACTS.

Shaowu DU received his B.S., M.S., and Ph.D. degrees in Electrical Engineering from Hefei University of Technology, Hefei, China, in 1987, 1992, and 2004, respectively. He is a professor of the School of Electrical Engineering and Automation, Hefei University of Technology, Hefei, China. His research interests include power electronics and electrical drives.

Xueping DONG received his M.S. degree from the Southeast University, China in 1993, and Ph.D. degree from the Nanjing University of Science and Technology, China, in 2008. He is an associate professor of School of Electrical Engineering and Automation, Hefei University of Technology, Hefei, China. His current research interests include robust filtering and control, distributed parameter systems, and switched systems.

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Chu, Z., Ding, M., Du, S. et al. Normalized estimation of fundamental frequency and measurement of harmonics/interharmonics. J. Control Theory Appl. 11, 10–17 (2013). https://doi.org/10.1007/s11768-013-1058-6

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  • DOI: https://doi.org/10.1007/s11768-013-1058-6

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