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| Received:March 22, 2011Revised:February 08, 2012 |
| 基金项目: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). |
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| Normalized estimation of fundamental frequency and measurement of harmonics/interharmonics |
| Zhaobi CHU,Ming DING,Shaowu DU,Xueping DONG |
| (School of Electrical Engineering and Automation, Hefei University of Technology) |
| 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. |
| Key words: Normalized fundamental frequency estimator Harmonic analysis Adaptive notch filter Stability analysis |
