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PLL wrap function for synchronization in phase jump disturbances
Función de ajuste de un PLL para la sincronía ante perturbaciones de salto de fase
DOI:
https://doi.org/10.15446/ing.investig.v41n1.84955Keywords:
single phase PLL, SPLL, phase disturbance, wrap, fast Fourier transform, FFT, phase error (en)PLL de fase sencilla, SPLL, disturbio de fase, envoltura, transformada rápida de Fourier (FFT), error de fase (es)
Synchrony plays a major role in the interconnection process between local electric power generation systems and the electrical grid. Grid phase disturbances prevent the generation system from maintaining synchrony. Therefore, an efficient phase tracking method is necessary in order to detect phase jumps and abrupt changes in amplitude. In this paper, we propose a software-designed method to strengthen phase tracking based on the wrap process of a second-level Phase Locked Loop (PLL). The term ‘wrap’ means establishing the phase values of the reference signal in intervals of π to match it with the values obtained from the PLL output (sync pulse). To quantify phase error, a mathematical transformation of the time domain to the frequency domain is implemented. The validity of the proposed wrap function is verified using electrical disturbances.
La sincronía es primordial para la interconexión de sistemas locales de generación de energía con el sistema eléctrico. Las perturbaciones en fase evitan que el sistema de generación mantenga la sincronía. Por lo tanto, un método eficiente de seguimiento de fase es necesario para detectar saltos en la misma y cambios abruptos en amplitud. En este trabajo se propone un método para fortalecer el seguimiento de fase basado en el proceso de envoltura de fase de un PLL (Phase Locked Loop) de segundo grado diseñado por software. El término ‘envoltura’ (wrap) se refiere a establecer los valores de fase de la señal de referencia en intervalos de π para que coincida con los valores obtenidos de la señal de salida del PLL (pulso de sincronía). Una técnica de transformación matemática del dominio del tiempo al dominio de la frecuencia es implementada con el fin de cuantificar el error de fase. La validez de la función de envoltura propuesta es verificada usando perturbaciones eléctricas.
References
Amuda, L. N., Cardoso Filho, B. J., Silva, S. M., Silva, S. R., and Diniz, A. S. A. C. (2000). Wide bandwidth single and three-phase PLL structures for grid-tied PV systems. In Photovoltaic Specialists Conference, 2000. Conference Record of the Twenty-Eighth IEEE (pp. 1660-1663). IEEE. https://doi.org/10.1109/PVSC.2000.916220
Arulkumar, K., Vijayakumar, D., and Palanisamy, K. (2016). Recent advances and control techniques in grid connected PV system–A review. International Journal of Renewable Energy Research (IJRER), 6(3), 1037-1049.
Calderón-Guizar, J. G. (2010). Estudios de estabilidad transitoria en sistemas eléctricos industriales con generación propia interconectados con el sistema de transmisión. Ingeniería, investigación y tecnología, 11(4), 445-451.
Chung, B.-Y., Chien, C., Samueli, H., and Jain, R. (1993). Performance analysis of an all-digital BPSK direct-sequence spread-spectrum IF receiver architecture. IEEE Journal on Selected Areas in Communications, 11(7):1096–1107. https://doi.org/10.1109/49.233222
Damaraju, R., and Lalitha, S. V. N. L. (2015). A fuzzy controller for compensation of voltage sag/swell problems using reduced rating dynamic voltage restorer. Indian Journal of Science and Technology, 8(23). http://dx.doi.org/10.17485/ijst/2015/v8i23/71858
Guerrero, J. M., Vásquez, J. C., Matas, J., De Vicuña, L. G., and Castilla, M. (2011). Hierarchical control of droop-controlled AC and DC microgrids—A general approach toward standardization. IEEE Transactions on Industrial Electronics, 58(1), 158-172. https://doi.org/10.1109/TIE.2010.2066534
Guo, X. Q., Wu, W. Y., and Gu, H. R. (2011). Phase locked loop and synchronization methods for grid-interfaced converters: a review. Przeglad Elektrotechniczny, 87(4), 182-187.
Ingale, R. (2014). Harmonic Analysis Using FFT and STFT. International Journal of Signal Processing, Image Processing and Pat-tern Recognition, 7(4), pp. 345-362. dx.doi.org/10.14257/ijsip.2014.7.4.33
Jaalam, N., Rahim, N. A., Bakar, A. H. A., Tan, C., and Haidar, A. M. (2016). A comprehensive review of synchronization methods for grid-connected converters of renewable energy source. Renewable and Sustainable Energy Reviews, 59, 1471-1481. https://doi.org/10.1016/j.rser.2016.01.066
Jain, B., Jain, S., and Nema, R. K. (2015). Control strategies of grid interfaced wind energy conversion system: An overview. Renewable and Sustainable Energy Reviews, 47, pp. 983-996. https://doi.org/10.1016/j.rser.2015.03.063
Kumm, M., Klingbeil, H., and Zipf, P. (2010). An FPGA-based linear all-digital phase-locked loop. IEEE Transactions on Circuits and Systems I: Regular Papers, 57(9), 2487-2497. https://doi.org/10.1109/TCSI.2010.2046237
Kundur P. Power System Stability and Control. Mc Graw Hill. 1994.
Lee, K. J., Lee, J. P., Shin, D., Yoo, D. W., and Kim, H. J. (2014). A novel grid synchronization PLL method based on adaptive low-pass notch filter for grid-connected PCS. IEEE Transactions on Industrial Electronics, 61(1), 292-301. https://doi.org/10.1109/TIE.2013.2245622
Patil, K. R., and Patel, H. H. (2016). Modified Dual Second-order Generalized Integrator FLL for Frequency Estimation Under Various Grid Abnormalities. Transactions on Environment and Electrical Engineering, 1(4), pp. 10-18. https://doi.org/10.1109/EEEIC.2016.7555824
Rueda, C., Arroyo J., Rivas, I., and Rebolledo L. (2014). Implementation of an embedded phase and frequency tuner, as reference for real-time energy exchange with the grid. LACCEI, Vol.1, pp.139-146.
S. Akoum, B. Farhang-Bouroujeny, “A phase locked loop with arbitrarily wide lock range for software defined radios, 2007 Software Defined Radio Technical Conference, November 5-9, 2007, Denver/Colorado
Senthilnathan, K., Annapoorani, I., and Ravi, S. (2018). Simulation and Hardware Implementation of Shunt Active Power Filter Based on Synchronous Reference Frame Theory. TELKOMNIKA, 16(1), 1-9. http://dx.doi.org/10.12928/telkomnika.v16i1.6524
Su, X., and Chen, W. (2004). Reliability-guided phase unwrapping algorithm: a review. Optics and Lasers in Engineering, 42(3), pp. 245-261. https://doi.org/10.1016/j.optlaseng.2003.11.002
The MathWorks, Inc. (2019). Atan2. August 1, 2019, of The Math-Works, Inc. Web Site: https://www.mathworks.com/help/matlab/ref/atan2.html
Valderrabano-Gonzalez, A., Rosas-Caro, J. C., Tapia-Olvera, R., Beltran-Carbajal, F., and Gomez-Ruiz, J. F. (2013). Single phase angle tracking method for power switches gating synchronization. Electric Power Systems Research, 105, pp. 88-94. https://doi.org/10.1016/j.epsr.2013.07.015
Xiao, J., Bai, L., Li, F., Liang, H., and Wang, C. (2014). Sizing of energy storage and diesel generators in an isolated microgrid using discrete Fourier transform (DFT). IEEE Transactions on Sustainable Energy, 5(3), 907-916. https://doi.org/10.1109/TSTE.2014.2312328
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Copyright (c) 2020 Clementina Rueda Germán, Iván de Jesús Rivas Cambero, Hossam A. Gabbar, José Humberto Arroyo Núñez

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