This study proposes a robust technique for accurate estimation of single-phase grid voltage fundamental amplitude and frequency. The technique relies on a quadrature signal generator (QSG) based on a fixed frequency tuned second-order generalised integrator (SOGI) and an infinite-impulse-response differentiation filter (DF). The DF is used to estimate the fundamental frequency from the instantaneous phase angle obtained from the generated orthogonal voltage waveforms. The estimation technique is robust and offers an easy tuning process as there is no interdependent loop between the orthogonal voltage system and the frequency estimation. Additionally, the technique is computationally efficient and can also reject the negative effects caused by the direct current offset and harmonics. Furthermore, the frequency estimation is less sensitive to harmonics when compared with a similar technique relying on the QSG based on the fixed frequency tuned SOGI and least-squares method. Simulation and real-time experimental results are provided to validate the robustness of the proposed technique.

References

1. 1)
  - 37. IEC Standard 61000-4-13: ‘Testing and measurement techniques – harmonics and interharmonics including mains signaling at AC power port, low frequency immunity test’, 2002.
2. 2)
  - G. Fedele , C. Picardi , D. Sgro . A power electrical signal tracking strategy based on the modulating functions method. IEEE Trans. Ind. Electron. , 10 , 4079 - 4087
3. 3)
  - I. Kamwa , M. Leclerc , D. McNabb . Performance of demodulation-based frequency measurement algorithms used in typical PMUs. IEEE Trans. Power Deliv. , 2 , 505 - 514
4. 4)
  - 29. Rodriguez, P., Luna, A., Munoz-Aguilar, R., Etxeberria-Otadui, I., Teodorescu, R., Blaabjerg, F.: ‘A stationary reference frame grid synchronization system for three-phase grid-connected power converters under adverse grid conditions’, IEEE Trans. Power Electron., 2011, 27, (1), pp. 99–112 (doi: 10.1109/TPEL.2011.2159242).
5. 5)
  - 36. Fedele, G., Ferrise, A.: ‘Non adaptive second-order generalized integrator for identification of a biased sinusoidal signal’, IEEE Trans. Autom. Control, 2012, 57, (7), pp. 1838–1842 (doi: 10.1109/TAC.2011.2178877).
6. 6)
  - 14. Kamwa, I., Samantaray, S.R., Joos, G.: ‘Wide frequency range adaptive phasor and frequency PMU algorithms’, IEEE Trans. Smart Grid, 2014, 5, (2), pp. 569–579.
7. 7)
  - A.A. Girgis , W.L. Peterson . Adaptive estimation of power system frequency deviation and its rate of change for calculating sudden power system overloads. IEEE Trans. Power Deliv. , 585 - 594
8. 8)
  - M. Ciobotaru , V.G. Agelidis , R. Teodorescu , F. Blaabjerg . Accurate and less-disturbing active antiislanding method based on PLL for grid-connected converters. IEEE Trans. Power Electron. , 6 , 1576 - 1584
9. 9)
  - 34. Sadinezhad, I., Agelidis, V.: ‘Frequency adaptive least-squares-Kalman technique for real-time voltage envelope and flicker estimation’, IEEE Trans. Ind. Electron., 2012, 59, (8), pp. 3330–3341 (doi: 10.1109/TIE.2011.2159950).
10. 10)
  - 8. IEEE Standard C37.118.1: ‘IEEE standard for synchrophasor measurements for power systems’, 2011.
11. 11)
  - 24. Ciobotaru, M., Teodorescu, R., Blaabjerg, F.: ‘A new single-phase PLL structure based on second order generalized integrator’. Proc. 37th IEEE Power Electronics Specialists Conf. (PESC), 2006, pp. 1–6.
12. 12)
  - 11. IEEE Standard 1453: ‘IEEE recommended practice for measurement and limits of voltage fluctuations and associated light flicker on AC power systems’, 2005.
13. 13)
  - 32. Reza, M.S., Ciobotaru, M., Agelidis, V.G.: ‘Tracking of time-varying grid voltage using DFT based second order generalized integrator technique’. Proc. IEEE Int. Conf. Power System Technology (POWERCON), 2012, pp. 1–6.
14. 14)
  - 9. IEC Standard 61000-4-30: ‘Testing and measurement techniques – power quality measurement methods’, 2003.
15. 15)
  - 26. Rodriguez, P., Luna, A., Ciobotaru, M., Teodorescu, R., Blaabjerg, F.: ‘Advanced grid synchronization system for power converters under unbalanced and distorted operating conditions’. Proc. 32nd Annual Conf. IEEE Industrial Electronics (IECON), 2006, pp. 5173–5178.
16. 16)
  - 7. IEEE Standard 1547: ‘IEEE standard for interconnecting distributed resources with electric power systems’, 2003.
17. 17)
  - 29. Ciobotaru, M., Teodorescu, R., Agelidis, V.G.: ‘Offset rejection for PLL based synchronization in grid-connected converters’. Proc. 23rd Annual IEEE Applied Power Electronics Conf. Exposition (APEC), 2008, pp. 1611–1617.
18. 18)
  - 5. IEC Standard 61727: ‘Photovoltaic (PV) systems – characteristics of the utility interface’, 2004.
19. 19)
  - 35. IEC Standard 61000-4-7: ‘Testing and measurement techniques – general guide on harmonics and interharmonics measurements and instrumentation, for power supply systems and equipment connected thereto’, 2002.
20. 20)
  - 25. Burger, B., Engler, A.: ‘Fast signal conditioning in the single phase systems’. Proc. European Conf. Power Electronics and Applications, 2001.
21. 21)
  - H.A. Darwish , M. Fikri . Practical consideration for recursive DFT implementation in numerical relays. IEEE Trans. Power Deliv. , 1 , 42 - 49
22. 22)
  - 17. Sadinezhad, I., Agelidis, V.G.: ‘Slow sampling online optimization approach to estimate power system frequency’, IEEE Trans. Smart Grid, 2011, 2, (2), pp. 265–277 (doi: 10.1109/TSG.2011.2114374).
23. 23)
  - 14. Kamwa, I., Samantaray, S., Joós, G.: ‘Compliance analysis of PMU algorithms and devices for wide-area stabilizing control of large power systems’, IEEE Trans. Power Syst., 2013, 28, (2), pp. 1766–1778 (doi: 10.1109/TPWRS.2012.2221168).
24. 24)
  - 23. He, W., Zhaosheng, T., Yong, W., Xiaoguang, H.: ‘Spectral correction approach based on desirable sidelobe window for harmonic analysis of industrial power system’, IEEE Trans. Ind. Electron., 2013, 60, (3), pp. 1001–1010 (doi: 10.1109/TIE.2012.2189531).
25. 25)
  - M. Wang , Y. Sun . A practical method to improve phasor and power measurement accuracy of DFT algorithm. IEEE Trans. Power Deliv. , 3 , 1054 - 1062
26. 26)
  - I. Kamwa , R. Grondin . Fast adaptive schemes for tracking voltage phasor and local frequency in power transmission and distribution systems. IEEE Trans. Power Deliv. , 2 , 789 - 795
27. 27)
  - 31. Karimi-Ghartemani, M., Khajehoddin, S.A., Jain, P.K., Bakhshai, A.: ‘Derivation and design of in-loop filters in phase-locked loop systems’, IEEE Trans. Instrum. Meas., 2012, 61, (4), pp. 930–940 (doi: 10.1109/TIM.2011.2172999).
28. 28)
  - 34. Reza, M.S., Ciobotaru, M., Agelidis, V.G.: ‘Estimation of single-phase grid voltage fundamental parameters using fixed frequency tuned second-order generalized integrator based technique’. Proc. Fourth IEEE Conf. Power Electronics for Distributed Generation Systems (PEDG), 2013.
29. 29)
  - 35. Kamwa, I., Pradhan, A.K., Joos, G.: ‘Adaptive phasor and frequency-tracking schemes for wide-area protection and control’, IEEE Trans. Power Deliv., 2011, 26, (2), pp. 744–753 (doi: 10.1109/TPWRD.2009.2039152).
30. 30)
  - 3. Wiczynski, G.: ‘Analysis of voltage fluctuations in power networks’, IEEE Trans. Instrum. Meas., 2008, 57, (11), pp. 2655–2664 (doi: 10.1109/TIM.2008.925005).
31. 31)
  - 4. European Standard EN-50160: ‘Voltage characteristics of electricity supplied by public distribution systems’, 1999.
32. 32)
  - 25. Rodríguez, P., Luna, A., Candela, I., Mujal, R., Teodorescu, R., Blaabjerg, F.: ‘Multiresonant frequency-locked loop for grid synchronization of power converters under distorted grid conditions’, IEEE Trans. Ind. Electron.2011, 58, (1), pp. 127–138 (doi: 10.1109/TIE.2010.2042420).
33. 33)
  - 31. Karimi-Ghartemani, M., Khajehoddin, S.A., Jain, P.K., Bakhshai, A., Mojiri, M.: ‘Addressing DC component in PLL and notch filter algorithms’, IEEE Trans. Power Electron., 2012, 27, (1), pp. 78–86 (doi: 10.1109/TPEL.2011.2158238).
34. 34)
  - 12. Roncero-Sanchez, P., del Toro Garcia, X., Torres, A.P., Feliu, V.: ‘Robust frequency-estimation method for distorted and imbalanced three-phase systems using discrete filters’, IEEE Trans. Power Electron., 2011, 26, (4), pp. 1089–1101 (doi: 10.1109/TPEL.2011.2107580).
35. 35)
  - 10. IEEE Standard 1159: ‘IEEE recommended practice for monitoring electric power quality’, 2009.
36. 36)
  - 36. Kamwa, I., Samantaray, S.R., Joos, G.: ‘Optimal integration of disparate C37. 118 PMUs in wide-area PSS with electromagnetic transients’, IEEE Trans. Power Syst., 2013, 28, (4), pp. 4760–4770 (doi: 10.1109/TPWRS.2013.2266694).
37. 37)
  - 26. Kamwa, I., Samantaray, S.R., Joos, G.: ‘On the accuracy versus transparency trade-off of data-mining models for fast-response PMU-based catastrophe predictors’, IEEE Trans. Smart Grid, 2012, 3, (1), pp. 152–161 (doi: 10.1109/TSG.2011.2164948).

Robust technique for accurate estimation of single-phase grid voltage fundamental frequency and amplitude

References

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