Skip to main content
Log in

UPFC setting to avoid active power flow loop considering wind power uncertainty

  • Research Article
  • Published:
Frontiers in Energy Aims and scope Submit manuscript

Abstract

The active power loop flow (APLF) may be caused by impropriate network configuration, impropriate parameter settings, and/or stochastic bus powers. The power flow controllers, e.g., the unified power flow controller (UPFC), may be the reason and the solution to the loop flows. In this paper, the critical existence condition of the APLF is newly integrated into the simultaneous power flow model for the system and UPFC. Compared with the existing method of alternatively solving the simultaneous power flow and sensitivity-based approaching to the critical existing condition, the integrated power flow needs less iterations and calculation time. Besides, with wind power fluctuation, the interval power flow (IPF) is introduced into the integrated power flow, and solved with the affine Krawcyzk iteration to make sure that the range of active power setting of the UPFC not yielding the APLF. Compared with Monte Carlo simulation, the IPF has the similar accuracy but less time.

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

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Similar content being viewed by others

References

  1. Sadjad G, Mehrdad T H, Mohamad BBS. Unified power flow controller impact on power system predictability. IET Generation, Transmission & Distribution, 2013, 8(5): 819–827

    Google Scholar 

  2. Golshannavaz S, Aminifar F, Nazarpour D. Application of UPFC to enhancing oscillatory response of series-compensated wind farm integrations. IEEE Transactions on Smart Grid, 2014, 5(4): 1961–1968

    Article  Google Scholar 

  3. Lin W M, Lu K H, Ou T C. Design of a novel intelligent damping controller for unified power flow controller in power system connected offshore power applications. IET Generation, Transmission & Distribution, 2015, 9(13): 1708–1717

    Article  Google Scholar 

  4. Wang L, Li H W, Wu C T. Stability analysis of an integrated offshore wind and seashore wave farm fed to a power grid using a unified power flow controller. IEEE Transactions on Power Systems, 2013, 28(3): 2211–2221

    Article  Google Scholar 

  5. Wei P, Ni Y X, Wu F F. Load flow tracing in power systems with circulating power. International Journal of Electrical Power & Energy Systems, 2002, 24(10): 807–813

    Article  Google Scholar 

  6. Marinakis A, Glavic M, Van Cutsem T. Minimal reduction of unscheduled flows for security restoration: application to phase shifter control. IEEE Transactions on Power Systems, 2010, 25(1): 506–515

    Article  Google Scholar 

  7. Lauria S, Palone F. Maximum undergrounding degree of HV sub transmission networks as dictated by unscheduled power flows. IET Generation, Transmission & Distribution, 2013, 7(11): 1202–1209

    Article  Google Scholar 

  8. Cvijić S, Ilić M D. Part II: PAR flow control based on the framework for modelling and tracing of bilateral transactions and corresponding loop flows. IEEE Transactions on Power Systems, 2014, 29(6): 2715–2722

    Article  Google Scholar 

  9. Sayed M A, Takeshita T. All nodes voltage regulation and line loss minimization in loop distribution systems using UPFC. IEEE Transactions on Power Electronics, 2011, 26(6): 1694–1703

    Article  Google Scholar 

  10. Miller J M, Ballamat B M, Morris K N, Malinowski J H, Pastermack B M, Eilts L E. Operating problems with parallel flow. IEEE Transactions on Power Systems, 1991, 6(3): 1024–1034

    Article  Google Scholar 

  11. Li S, Wang T, Zhang H, Wang L, Jiang Y, Xue J. Sensitivity-based coordination to controllable ranges of UPFCs to avoid active power loop flows. International Journal of Electrical Power & Energy Systems, 2020, 114: 105383

    Article  Google Scholar 

  12. Hajian M, Rosehart W D, Zareipour H. Probabilistic power flow by Monte Carlo simulation with Latin supercube sampling. IEEE Transactions on Power Systems, 2013, 28(2): 1550–1559

    Article  Google Scholar 

  13. Wang Z A, Alvarado F L. Interval arithmetic in power flow analysis. IEEE Transactions on Power Systems, 1992, 7(3): 1341–1349

    Article  Google Scholar 

  14. Moore R E, Cloud M J, Kearfott R B. Introduction to Interval Analysis. Philadelphia: Society for Industrial and Applied Mathematics, 2009

    Book  MATH  Google Scholar 

  15. Duan C, Jiang L, Fang W L, Liu J. Moment-SOS approach to interval power flow. IEEE Transactions on Power Systems, 2017, 32 (1): 522–530

    Article  Google Scholar 

  16. Ding T, Bo R, Li F X, Guo Q, Sun H, Gu W, Zhou G. Interval power flow analysis using linear relaxation and optimality-based bounds tightening (OBBT) methods. IEEE Transactions on Power Systems, 2015, 30(1): 177–188

    Article  Google Scholar 

  17. Ding T, Li X, Li F, Bo R, Sun H. Interval radial power flow using extended DistFlow formulation and Krawcyzk iteration method with sparse approximate inverse preconditioner. IET Generation, Transmission & Distribution, 2015, 9(14): 1998–2006

    Article  Google Scholar 

  18. Wang Y, Wu Z, Dou X, Hu M, Xu Y. Interval power flow analysis via multi-stage affine arithmetic for unbalanced distribution network. Electric Power Systems Research, 2017, 142: 1–8

    Article  Google Scholar 

  19. Vaccaro A, Canizares C A. An affine arithmetic-based framework for uncertain power flow and optimal power flow studies. IEEE Transactions on Power Systems, 2017, 32(1): 274–288

    Article  Google Scholar 

  20. Pereira L E S, da Costa V M. Interval analysis applied to the maximum loading point of electric power systems considering load data uncertainties. International Journal of Electrical Power & Energy Systems, 2014, 54: 334–340

    Article  Google Scholar 

  21. Pereira L E S, da Costa V M, Rosa ALS. Interval arithmetic in current injection power flow analysis. International Journal of Electrical Power & Energy Systems, 2012, 43(1): 1106–1113

    Article  Google Scholar 

  22. Fuerte-Esquivel C R, Acha E, Ambriz-Perez H. A comprehensive Newton-Raphson UPFC model for the quadratic power flow solution of practical power networks. IEEE Transactions on Power Systems, 2000, 15(1): 102–109

    Article  Google Scholar 

  23. Ding T, Cui H T, Gu W, Wan Q L. An uncertainty power flow algorithm based on interval and affine arithmetic. Automation of Electric Power Systems, 2012, 36(13): 51–55

    Google Scholar 

  24. Wolfram M, Schlegel S, Westermann D. Closed loop flow detection in power system based on Floyd-Warshall algorithm. In: IEEE Manchester PowerTech, Manchester, UK, 2017, 18–22

    Google Scholar 

  25. Hiskens I. IEEE PES task force on benchmark systems for stability controls report on the 39-bus system (New England Reduced Model). 2020-6-9, available at website of Universidade de Sao Paulo

Download references

Acknowledgements

This work was supported by the National Natural Science Foundation of China (Grant No. 51877061).

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Shenghu Li.

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Li, S., Wang, T. UPFC setting to avoid active power flow loop considering wind power uncertainty. Front. Energy 17, 165–175 (2023). https://doi.org/10.1007/s11708-020-0686-z

Download citation

  • Received:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s11708-020-0686-z

Keywords

Navigation