Abstract
To better capture the phase information of single-phase power grids, a novel single-phase phase-locked loop method is proposed in this paper. The method uses a tracking differentiator as an orthogonal signal generator. Because the generator is sensitive to the input signal’s frequency, the amplitudes of the tracking and differential signals may not be equivalent, causing a failed phase tracking. Therefore, the amplitude correction of the differential signal needs to be done. Then, the corrected differential signal and the tracking signal are both input to the phase detector. To further verify the practical feasibility of the method, the voltage sampling and phase tracking experiments were performed on a digital signal processor-based inverter experimental platform, which is aimed to simulate the grid. The experimental results show that the proposed algorithm has strong dynamic performance and steady-state performance under different states of the power grid, and the phase-locked method has a practical feasibility in single-phase grid-connected applications.
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References
S.B. Crary, Two-reaction theory of synchronous machines. Trans. Am. Inst. Electr. Eng. 56(1), 27–36 (1937)
S. Golestan, M. Monfared, F.D. Freijedo et al., Dynamics assessment of advanced single-phase PLL structures. IEEE Trans. Ind. Electron. 60(6), 2167–2177 (2013)
A.K. George, P. Sumathi, Mono-component AM–FM signal decomposition based on discrete second-order generalized integrator phase-locked loop. Circuits Syst. Signal Process. 36(4), 1–17 (2016)
S. Golestan, S.Y. Mousazadeh, J.M. Guerrero et al., A critical examination of frequency-fixed second-order generalized integrator-based phase-locked loops. IEEE Trans. Power Electron. 32(9), 6666–6672 (2017)
S. Golestan, J. Guerrero, J. Vasquez, A nonadaptive window-based pll for single-phase applications. IEEE Trans. Power Electron. 33(1), 24–31 (2018)
P. Hao, Method of reactive power measurement based on two pairs of Hilbert digital filters. Autom. Electr. Power Syst. 30(18), 45–48 (2006)
Y. Han, M. Luo, X. Zhao et al., Comparative performance evaluation of orthogonal-signal-generators based single-phase PLL algorithms. IEEE Trans. Power Electron. 31(5), 3932–3944 (2015)
J.Q. Han, Active Disturbance Rejection Control Technique-The Technique for Estimating and Compensating the Uncertainties (National Defense Industry Press, China, 2008), pp. 46–110
J.Q. Han, From PID technique to active disturbances rejection control technique. Basic Autom. 9(3), 14–18 (2002)
J.Q. Han, Nonlinear tracking-differentiator. J. Syst. Sci. Math. Sci. 14, 2 (1994)
A. Luo, Y. Chen, Z. Shuai et al., An improved reactive current detection and power control method for single-phase photovoltaic grid-connected DG system. IEEE Trans. Energy Convers. 28(4), 823–831 (2013)
B.P. Mcgrath, D.G. Holmes, J. Galloway, Improved power converter line synchronisation using an adaptive Discrete Fourier Transform (DFT), in Power Electronics Specialists Conference, 2002. Pesc 02. 2002 IEEE. (IEEE, 2002), vol. 2, pp. 821–826
R.K. Mai, Z.Y. He, W. He et al., Adaptive frequency tracking algorithm for power systems. Proc. Csee. 30(16), 73–78 (2010)
P. Rodriguez, J. Pou et al., Decoupled double synchronous reference frame PLL for power converters control. IEEE Trans. Power Electron. 22(3), 1078 (2007)
L. Stastny, R. Mego, L. Franek et al., Zero cross detection using phase locked loop. IFAC-PapersOnLine. 49(25), 294–298 (2016)
S. Sakamoto, T. Izumi, T. Yokoyama, et al., A new method for digital PLL control using estimated quadrature two phase frequency detection. in Power Conversion Conference, 2002. Proceedings of the PCC-Osaka 2002. (IEEE, 2002), vol. 2, pp. 2671–2676
D. Tian, H. Shen, D. Ming, Improving the rapidity of nonlinear tracking differentiator via feedforward. IEEE Trans. Ind. Electron. 61(7), 3736–3743 (2014)
F. Xiao, L. Dong, L. Li et al., A frequency-fixed SOGI-based PLL for single-phase grid-connected converters. IEEE Trans. Power Electron. 32(3), 1713–1719 (2016)
L.I. Yan-Dong, K.F. Wang, Z. Fang et al., Application of soft phase locked loop technique in dynamic voltage restorer. Power Syst. Technol. 28(8), 42–45 (2004)
Z.C. Yuan, S. Qiang, W.H. Liu, A modified soft phase lock loop algorithm improving the performance in dynamic phase tracking and detection of unbalanced voltage. Power Syst. Technol. 12(3), 307 (2010)
C.Y. Zhu, D. Yang, W.X. Jing, Relation equations among the parameters of tracking–differentiator and the amplitude and frequency of its input–output signals. Electr. Mach. Control. 9(4), 81–84 (2005)
Acknowledgements
This work is supported by the National Natural Science Foundation of China [Grant Number 51707068], the Natural Science Foundation of Fujian Province [Grant Number 2017J01097] and Subsidized Project for Cultivating Postgraduates’ Innovative Ability in Scientific Research of Huaqiao University [Grant Number 1611401008].
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Wang, R., Sun, S., Guo, X. et al. Single-Phase Phase-Locked Loop Based on Tracking Differentiator. Circuits Syst Signal Process 39, 3787–3803 (2020). https://doi.org/10.1007/s00034-020-01359-0
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DOI: https://doi.org/10.1007/s00034-020-01359-0