Acknowledgement
This work was supported in part by Tianjin Education Commission Scientific Research Project under Grant 2019KJ104, in part by New Energy and Smart Grid Technology Innovation Special Project of Hebei Provincial Key Research and Development Program under Grant 19214501D, and in part by Hebei Provincial Key Research and Development Program New Energy Industry Technology Innovation Special Project under Grant 20314501D.
References
- Ali, Z., Christofides, N., Hadjidemetriou, L.: Diversifying the role of distributed generation grid-side converters for improving the power quality of distribution networks using advanced control techniques. IEEE Trans. Ind. Appl. 55(4), 4110-4123 (2019) https://doi.org/10.1109/tia.2019.2904678
- Ouyang, S., Ma, W., Ke, Q.: A multi-resonant decoupling network synchronization method based on improved DSOGI-FLL for grid-connected converter. Auto. Electr. Power Syst. 42(19), 133-139 (2018)
- Zhang, P., Fang, H.: Fast single-phase all digital phase-locked loop for grid synchronization under distorted grid conditions. J Power Electron 18(5), 1523-1535 (2018) https://doi.org/10.6113/JPE.2018.18.5.1523
- Luo, W., Jiang, J., Zhou, Z.: Grid-connected phase-loop technology based on frequency-adaptive improved comb filter. Auto. Electr. Power Syst. 41(20), 97-104 (2017)
- Verma, A., Jarial, R.: An improved hybrid pre-filtered open-loop algorithm for three-phase grid synchronization. IEEE Trans Ind Electron 99, 1-1 (2020)
- Verma, K., Subramanian, C., Jarial, R.K. A Robust Lyapunov's demodulator for tracking of single-/three-phase grid voltage variables. IEEE Transactions on Instrumentation and Measurement, 70, 1-11 (2021)
- Ahmed, H., Biricik, S., Benbouzid, M.: Enhanced frequency adaptive demodulation technique for grid-connected converters. IEEE Trans Ind Electron 99, 1-1 (2020)
- Hwang, S.: Offset error compensation algorithm for grid voltage measurement of grid-connected single-phase inverters based on SRF-PLL. J Power Electron 20(3), 794-801 (2020) https://doi.org/10.1007/s43236-020-00077-9
- Li, J., Wang, Q.: L: an accurate and robust adaptive notch filter-based phase-locked loop. Journal of Power Electronics. 20(6), 1514-1525 (2020) https://doi.org/10.1007/s43236-020-00127-2
- Liu, H., Xing, Y., Hu, H.: Enhanced frequency-locked loop with a comb filter under adverse grid conditions. IEEE Trans Power Electron 31(12), 8046-8051 (2016) https://doi.org/10.1109/TPEL.2016.2564994
- Golestan, S., Guerrero, J.M., Musavi, F., Vasquez, J.C.: Single-phase frequency-locked loops: a comprehensive review. IEEE Trans Power Electron 34(12), 11791-11812 (2019) https://doi.org/10.1109/tpel.2019.2910247
- Teodorescu, R., Liserre, M., Rodriguez, P. Grid converters for photovoltaic and wind power systems. Automation of Electric Power Systems.Hoboken, NJ, USA: Wiley, 2011.
- Rodriguez, P., Luna, A., Candela, I., Mujal, R.: Multiresonant frequency-locked loop for grid synchronization of power converters under distorted grid conditions. IEEE Trans. Ind. Electron. 58(1), 127-138 (2011) https://doi.org/10.1109/TIE.2010.2042420
- Meneghetti L. H., Carvalho, E. L., Energy storage system for programmable dispatch of photovoltaic generation. In 2019 21st European Conference on Power Electronics and Applications.1-10 (2019)
- Quan X, Dou X, Wu Z, Hu M (2017) A concise discrete adaptive filter for frequency estimation under distorted three-phase voltage. IEEE Trans. Power Electron. 32(12), 9400-9412 (2017) https://doi.org/10.1109/TPEL.2017.2657641
- Ahmed, H., Bierhoff, M., Benbouzid, M.: Multiple nonlinear harmonic oscillator-based frequency estimation for distorted grid voltage. IEEE Trans. Instrum. Measurement. 69(6), 2817-2825 (2020) https://doi.org/10.1109/TIM.2019.2931065
- Golestan, S., Guerrero, J.M., Vasquez, J.C.: Modeling, tuning, and performance comparison of second-order-generalized-integrator-based FLLs. IEEE Trans Power Electron. 33(12), 10229-10239 (2018) https://doi.org/10.1109/tpel.2018.2808246
- Tahir, M., Mazumder S.K. (2014) Improving dynamic response of active harmonic compensator using digital comb filter. IEEE Trans. Emerg. Sel. Topics Power Electron. 2(4): 994-1002 https://doi.org/10.1109/JESTPE.2014.2345741
- Geng, J., Li, X., Liu, Q.: Frequency-locked loop based on a repetitive controller for grid synchronization systems. IEEE Access. 8, 154861-154870 (2020) https://doi.org/10.1109/access.2020.3018639
- C. Zhang, S. Foyen, J. A. Suul and M. Molinas.: Modeling and Analysis of SOGI-PLL/FLL-based Synchronization Units: Stability Impacts of Different Frequency-feedback Paths. IEEE Transactions on Energy Conversion. (99), 1-1 (2020)
- Quan, X., Huang, A.Q.: PI-based synchronous reference frame frequency-locked loop. IEEE Trans Ind Electron 68(5), 4547-4553 (2021) https://doi.org/10.1109/TIE.2020.2985002
- Bamigbade, V.K., Al Hosani, M.: Single-phase type-1 frequency-fixed FLL for distorted voltage condition. IEEE Trans Ind Electron 68(5), 3865-3875 (2021) https://doi.org/10.1109/TIE.2020.2984999
- Kanjiya, P., Khadkikar, V., Moursi, M.S.E.: A novel type-1 frequency-locked loop for fast detection of frequency and phase with improved stability margins. IEEE Trans Power Electron 31(3), 2550-2561 (2016) https://doi.org/10.1109/TPEL.2015.2435706
- Dai, Z., Zhang, Z., Yang, Y., Blaabjerg, F.: A fixed-length transfer delay based adaptive frequency-locked loop for single-phase systems. IEEE Trans Power Electron 34(5), 4000-4004 (2019) https://doi.org/10.1109/tpel.2018.2871032
- Golestan, S., Guerrero, J.M., Vasquez, J.C.: Single-phase FLLs based on linear kalman filter, limit-cycle oscillator, and complex bandpass filter: analysis and comparison with a standard FLL in grid applications. IEEE Trans Power Electron 34(23), 11774- 11790 (2019) https://doi.org/10.1109/TPEL.2019.2906031
- Quan, X., Hu, Q., Dou, X., Wu, Z., Li, W.: High-order frequency-locked loop: general modeling and design. IEEE Trans Ind Electron 99, 1-1 (2020)
- S. J. Elliott and P. A. Nelson.: Active noise control IEEE signal processing magazine. 10(4), 12-35 (1993) https://doi.org/10.1109/79.248551
- J.-A. Wang, L. Fan, and X.-Y. Wen (2020) Improved results on stability analysis for delayed neural network. International J Control Autom Syst 1-10
- Y. Gao, Y. Wu, X. Wang, and Q. Chen.: Characteristic model-based adaptive control with genetic algorithm estimators for four-pmsm synchronization system. Int J Control Automation Syst 1-12 (2020)
- Park, B.-J., Pham, P.-T.: Model reference robust adaptive control of control element drive mechanism in a nuclear power plant. Int J Control Auto Syst 99, 1-1 (2020)
- Kolluri, S.: A new control architecture with spatial comb filter and spatial repetitive controller for circulating current harmonics elimination in a droop-regulated modular multilevel converter for wind farm application. IEEE Trans. Power Electron. 34(11), 10509-10523 (2019) https://doi.org/10.1109/tpel.2019.2897150
- Badoni, M., Singh, A.: Comparative performance of wiener filter and adaptive least mean square-based control for power quality improvement. IEEE Trans. Ind. Electron. 63(5), 3028-3037 (2016) https://doi.org/10.1109/TIE.2016.2515558
- Brown, Robert Grover; Hwang, Patrick Y.C.: Introduction to Random Signals and Applied Kalman Filtering. New York: John Wiley & Sons. ISBN 978-0-471-12839-7.
- Xiao, Y.-Y.: Stabilization of a modified LMS algorithm for canceling nonlinear memory effects. IEEE Trans Signal Process 68, 3439-3449 (2020) https://doi.org/10.1109/tsp.2020.2997951
- Dash, P.K., Swain, D.P.: An adaptive linear combiner for on-line tracking of power system harmonics. IEEE Trans Power Syst 11(4), 1730-1735 (1996) https://doi.org/10.1109/59.544635
- D. Liu, H. Cha and B. Wang.: A novel variable step length lms algorithm based on arctangent compound function. In 2021 IEEE 5th advanced information technology, electronic and automation control conference (IAEAC). 1691-1696 (2021)
- Siqueira, N.N.: TP Ferreira (2021) Transient analysis of the set-membership LMS algorithm. IEEE Commun Lett 25(4), 1298-1302 (2021) https://doi.org/10.1109/LCOMM.2021.3051007
- He, X., Geng, H.: A generalized design framework of notch filter based frequency-locked loop for three-phase grid voltage. IEEE Trans. Ind. Electron. 65(9), 7072-7084 (2018) https://doi.org/10.1109/tie.2017.2784413
- L. Tan, J. Jiang.: Novel adaptive IIR filter for frequency estimation and tracking [DSP Tips& Tricks]. IEEE Signal Process Mag. 26(6), 186-189 (2009) https://doi.org/10.1109/MSP.2009.934189
- Glover, J.: Adaptive noise canceling applied to sinusoidal interferences. IEEE Trans Acoust Speech Signal Process 25(6), 484-491 (1977) https://doi.org/10.1109/TASSP.1977.1162997
- D. E Goldberg.: Genetic Algorithm in search Optimization and Machine learning. Addison-Wesely, (1989)
- Ortatepe, Z.: Pre-calculated duty cycle optimization method based on genetic algorithm implemented in DSP for a non-inverting buck-boost converter. J Power Electron 20(1), 34-42 (2020) https://doi.org/10.1007/s43236-019-00009-2
- Zames, G.: On the input-output stability of time-varying nonlinear feedback systems Part one: Conditions derived using concepts of loop gain, conicity, and positivity. IEEE Trans. Automat. Contr. 11(2), 228-238 (1966) https://doi.org/10.1109/TAC.1966.1098316