Skip to main content
SpringerLink
Log in

A Synchronization Method for Three-Phase Grid-Connected Inverters Using Levenberg-Marquardt Technique

  • Conference paper
  • First Online:
AETA 2015: Recent Advances in Electrical Engineering and Related Sciences

Part of the book series: Lecture Notes in Electrical Engineering ((LNEE,volume 371))

  • 1877 Accesses

Abstract

The controllers of three-phase grid-connected inverters usually need improvements to allow distributed generations to meet the stringent grid codes with high power quality and the fault ride through ability. Therefore, the performance of the grid-connected inverter depends on the response of the selected synchronization method. This paper proposes a method with high accuracy and good dynamics under the unbalanced and highly distorted voltage. The proposed method bases on the least squares technique using the Levenberg-Marquardt algorithm to rapidly converge the solution, thus requiring less hardware and associated cost for real-time implementation. The technique does not base on interdependent loops offering stability and easy estimating process. The robustness and accuracy of the proposed technique are better than the techniques basing on the dual second-order generalized integrator (DSOGI) and the conventional PLL. The simulation results in MATLAB/Simulink under the unbalanced and harmonic voltage conditions validated the performance of the proposed method.

This is a preview of subscription content, log in via an institution to check access.

Access this chapter

Log in via an institution
Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 259.00
Price excludes VAT (USA)
  • Available as EPUB and PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 329.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info
Hardcover Book
USD 329.99
Price excludes VAT (USA)
  • Durable hardcover edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Institutional subscriptions

References

  1. Grath BP Mc, Holmes DG, Galloway JH (2005) Galloway, power converter line synchronization using a discrete Fourier transform (DFT) based on a variable sample rate. IEEE Trans Power Elect, 20(4):877–884

    Google Scholar 

  2. Ciobotaru M, Teodorescu R, Agelidis VG (2008) Offset rejection for PLL based synchronization in grid-connected converters. In: 23rd Annual IEEE Applied Power Electronics Conference and Exposition (APEC), pp 1611–1617

    Google Scholar 

  3. Karimi-Ghartemani M, Khajehoddin SA, Jain PK, Bakhshai A, Mojiri M (2012) Addressing DC component in PLL and notch filter algorithms. IEEE Trans. Power Electron, 27(1):78–86

    Google Scholar 

  4. Asiminoaei L, Blaabjerg F, Hansen S (2007) Detection is key—Harmonic detection methods for active power filter applications. IEEE Ind Appl Mag 13(2):22–33

    Article  Google Scholar 

  5. Gonzalez SA, Garcia-Retegui R, Benedetti M (2007) Harmonic computation technique suitable for active power filters. IEEE Trans. Ind. Electron, 54(5):2791–2796

    Google Scholar 

  6. IEEE Recommended Practice for Utility Interface of Photovoltaic (PV) Systems (2000), IEEE Standard 929

    Google Scholar 

  7. IEEE Application Guide for IEEE Std 1547™ (2009). IEEE Standard for Interconnecting Distributed Resources with Electric Power Systems

    Google Scholar 

  8. Teodorescu R, Liserre M, Rodriguez P (2011) Grid Converters for Photovoltaic and Wind Power Systems. John Wiley & Sons

    Google Scholar 

  9. Kobayashi H (2012) Fault ride through requirements and measures of distributed PV systems in Japan. In: Proceedings of the IEEE-PES General Meeting, pp 1–6, 22–26

    Google Scholar 

  10. Karimi-Ghartemani M, Karimi H, Iravani MR (2004) A magnitude/phase-locked loop system based on estimation of frequency and in-phase/quadrature-phase amplitudes. IEEE Trans Ind Electron, 51(2):511–517

    Google Scholar 

  11. Karimi-Ghartemani M, Iravani MR (2004) Robust and frequency adaptive measurement of peak value. IEEE Trans Power Del, 19(2):481–489

    Google Scholar 

  12. Ciobotaru M, Agelidis VG, Teodorescu R, Blaabjerg F (2010) Accurate and less-disturbing active anti-islanding method based on PLL for grid-connected converters. IEEE Trans Power Electron, 25(6):1576–1584

    Google Scholar 

  13. Santos Filho RM, Seixa PF, Cortizo PC, Torres LAB, Souza AF (2008) Comparison of three single-phase PLL algorithms for UPS application. IEEE Trans Ind Electron, 55(8): 2923–2932

    Google Scholar 

  14. Nicastri A, Nagliero A (2010) Comparison and evaluation of the PLL techniques for the design of the grid-connected inverter system. In: Proceedings of the IEEE International Symposium on Industrial Electronics, 3865–3870

    Google Scholar 

  15. Golestan S, Monfared M, Freijedo FD, Guerrero JM (2012) Design and tuning of a modified power-based PLL for single-phase grid-connected power conditioning systems. IEEE Trans Power Electron, 27(8):3639–3650

    Google Scholar 

  16. Chung S-K (2000) Phase-locked loop for grid-connected three-phase power conversion systems. In: IEE Proc Electr Power Appl, 147(3):213–219

    Google Scholar 

  17. Karimi-Ghartemani M, Iravani MR (2005) Measurement of harmonics/inter-harmonics of time-varying frequencies. IEEE Trans Power Del, 20(2):23–31

    Google Scholar 

  18. Carvalho JR, Duque CA, Ribeiro MV, Cerqueira AS, Baldwin TL, Ribeiro PF (2009) A PLL-based multirate structure for timevarying power systems harmonic/interharmonic estimation. IEEE Trans Power Del, 24(4):1789–1800

    Google Scholar 

  19. Karimi-Ghartemani M, Khajehoddin SA, Jain PK, Bakhshai A (2012) Derivation and design of in-loop filters in phase-locked loop systems. IEEE Trans Instrum Meas, 61(4):930–940

    Google Scholar 

  20. Reza MS, Ciobotaru M, Agelidis VG (2013) Estimation of Single-Phase Grid Voltage Fundamental Parameters Using Fixed Frequency Tuned Second Order Generalized Integrator Based Technique. In: Proceedings of the 4th International Symposium. IEEE on Power Electron (PDEG), 1–8

    Google Scholar 

  21. Ghartemani MK, Khajehoddin SA, Jain PK, Bakhshai A (2012) Problems of startup and phase jumps in PLL systems. IEEE Trans Power Electron, 27(4):1830–1838

    Google Scholar 

  22. Rodriguez P, Luna A, Ciobotaru M, Teodorescu R, Blaabjerg F (2006) Advanced grid synchronization system for power converters under unbalanced and distorted operating conditions. In: Proceedings of the 32nd Annual Conference IEEE Industrial Electronics (IECON), p 5173–5178

    Google Scholar 

  23. Rodriguez P, Luna A, Munoz-Aguilar RS, Etxeberria-Otadui I, Teodorescu R, Blaabjerg F (2012) A stationary reference frame grid synchronization system for three-phase grid-connected power converters under adverse grid conditions. IEEE Trans Power Elect, 27(1):99–112

    Google Scholar 

  24. Rodriguez P, Luna A, Candela I, Mujal R, Teodorescu R, Blaabjerg F (2011) Multiresonant frequency-locked loop for grid synchronization of power converters under distorted grid conditions. IEEE Trans Ind Electron, 58(1):127–138

    Google Scholar 

  25. Hadjidemetriou L, Kyriakides E, Blaabjerg F(2013) Synchronization of grid-connected renewable energy sources under highly distorted voltage and unbalanced grid fault. In: Proceedings of the IEEE IECON, p. 1887–1892

    Google Scholar 

  26. Nicastri A, Nagliero A (2010) Comparison and evaluation of the PLL techniques for the design of the grid-connected inverter systems. In: Proceedings of the IEEE ISIE, pp 3865–3870

    Google Scholar 

  27. Ljung L (1987) System Identification—theory for the user. Prentice Hall

    Google Scholar 

  28. Johansson R (1993) System modeling and Identification. Prentice Hall

    Google Scholar 

  29. Terzija VV, Djuric MB, Kovacevic BD (1994) Voltage phasor and local system frequency estimation using Newton type algorithm. IEEE Trans Power Deliv, 9(3):1368–1374

    Google Scholar 

  30. Sadinezhad I, Agelidis VG (2011) Slow Sampling Online Optimization Approach to Estimate Power System Frequency. IEEE Trans Smart Grid, 2(2):265–277

    Google Scholar 

  31. Reza MS, Ciobotaru M, Agelidis VG (2015) Power system frequency estimation by using a Newton-type technique for smart meters. IEEE Trans Instrum Meas, doi:10.1109/TIM.2014.2347671

    Google Scholar 

  32. Levenberg K (1944) A Method for the Solution of Certain Non-Linear Problems in Least Squares. Q Appl Math 2:164–168

    MathSciNet  MATH  Google Scholar 

  33. Marquardt DW (1963) An algorithm for least-squares estimation of nonlinear parameters. J Soc Ind Appl Math 11(2):431–441

    Article  MathSciNet  MATH  Google Scholar 

  34. Andersson T (2005) Parameter estimation and waveform Fitting for narrowband signals. Ph.D. dissertation, KTH Electrical Engineering., Stockholm, Sweden

    Google Scholar 

  35. Blaabjerg F, Teodorescu R, Liserre M, Timbus AV (2006) Overview of control and grid synchronization for distributed power generation systems. IEEE Trans Indu Electron 53(5)

    Google Scholar 

  36. Rodríguez P, Teodorescu R, Candela I, Timbus AV, Blaabjerg F (2006) New positive-sequence voltage detector for grid synchronization of power converters under faulty grid conditions. In: Proceeding of PESC, 06:129–135

    Google Scholar 

  37. IEEE Standard for Synchrophasors for Power Systems (2006). IEEE Standard C37, 118–2005

    Google Scholar 

Download references

Acknowledgment

The authors acknowledge the support from the Power System & Renewable Energy Lab C201 and the Power Electronics Lab D406 of Hochiminh city-University of Technology and Education for this research project.

Author information

Authors and Affiliations

  1. Hochiminh City University of Technology, Hochiminh City, Vietnam

    Tran Quang Tho & Truong Viet Anh

  2. Faculty of Electrical and Electronics Engineering, Ton Duc Thang University, No. 19 Nguyen Huu Tho Street, District 7, Ho Chi Minh City, Vietnam

    Pham Huu Ly

  3. Hochiminh City University of Technology (VNU-HCM), Hochiminh City, Vietnam

    Le Minh Phuong

Authors
  1. Tran Quang Tho
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. Pham Huu Ly
    View author publications

    You can also search for this author in PubMed Google Scholar

  3. Truong Viet Anh
    View author publications

    You can also search for this author in PubMed Google Scholar

  4. Le Minh Phuong
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to Pham Huu Ly .

Editor information

Editors and Affiliations

  1. Faculty of Electrical and Electronics En, Ton Duc Thang University, Ho Chi Minh City, Vietnam

    Vo Hoang Duy

  2. MERLIN, Ton Duc Thang University, Ho Chi Minh City, Vietnam

    Tran Trong Dao

  3. Electrical Engineering and Computer Scie, VŠB—Technical University, Ostrava-Poruba, Czech Republic

    Ivan Zelinka

  4. Division of Mechanical, Korea Maritime and Ocean University, Busan, Korea (Republic of)

    Hyeung-Sik Choi

  5. Université de Picardie Jules Verne, Laboratoire MIS, Amiens Cedex 1, France

    Mohammed Chadli

Rights and permissions

Reprints and permissions

Copyright information

© 2016 Springer International Publishing Switzerland

About this paper

Cite this paper

Tho, T.Q., Ly, P.H., Anh, T.V., Phuong, L.M. (2016). A Synchronization Method for Three-Phase Grid-Connected Inverters Using Levenberg-Marquardt Technique. In: Duy, V., Dao, T., Zelinka, I., Choi, HS., Chadli, M. (eds) AETA 2015: Recent Advances in Electrical Engineering and Related Sciences. Lecture Notes in Electrical Engineering, vol 371. Springer, Cham. https://doi.org/10.1007/978-3-319-27247-4_22

Download citation

  • DOI: https://doi.org/10.1007/978-3-319-27247-4_22

  • Published:

  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-319-27245-0

  • Online ISBN: 978-3-319-27247-4

  • eBook Packages: EngineeringEngineering (R0)

Publish with us

Policies and ethics

Search

Navigation