Table of Contents Author Guidelines Submit a Manuscript
Mathematical Problems in Engineering
Volume 2013, Article ID 235316, 10 pages
http://dx.doi.org/10.1155/2013/235316
Research Article

Improved Power Flow Algorithm for VSC-HVDC System Based on High-Order Newton-Type Method

1School of Electrical Engineering and Automation, Henan Polytechnic University, Jiaozuo 454000, China
2Economics and Business College, Qingdao Technological University, Qingdao 266520, China
3College of Energy and Electrical Engineering, Hohai University, Nanjing 210098, China
4Jiangsu Frontier Electric Technology Co., Ltd., Nanjing 211102, China

Received 4 April 2013; Accepted 12 May 2013

Academic Editor: Guanghui Wen

Copyright © 2013 Yanfang Wei et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Linked References

  1. N. Flourentzou, V. G. Agelidis, and G. D. Demetriades, “VSC-based HVDC power transmission systems: an overview,” IEEE Transactions on Power Electronics, vol. 24, no. 3, pp. 592–602, 2009. View at Publisher · View at Google Scholar · View at Scopus
  2. P. Haugland, It’s Time to Connect—Technical Description of HVDC Light Technology, ABB, 2008.
  3. A. L. P. de Oliveira, C. E. Tibúrcio, M. N. Lemes, and D. Retzmann, “Prospects of Voltage-Sourced Converters (VSC) applications in DC transmission systems,” in Proceedings of the IEEE/PES Transmission and Distribution Conference and Exposition: Latin America (T and D-LA '10), pp. 491–495, Sao Paulo, Brazil, November 2010. View at Publisher · View at Google Scholar · View at Scopus
  4. J. M. Maza-Ortega, A. Gomez-Exposito, M. Barragan-Villarejo, E. Romero-Ramos, and A. Marano-Marcolini, “Voltage source converter-based topologies to further integrate renewable energy sources in distribution systems,” IET Renewable Power Generation, vol. 6, no. 6, pp. 435–445, 2012. View at Google Scholar
  5. X. P. Zhang, “Multiterminal voltage-sourced converter-based HVDC models for power flow analysis,” IEEE Transactions on Power Systems, vol. 19, no. 4, pp. 1877–1884, 2004. View at Publisher · View at Google Scholar · View at Scopus
  6. C. Angeles-Camacho, O. L. Tortelli, E. Acha, and C. R. Fuerte-Esquivel, “Inclusion of a high voltage DC-voltage source converter model in a Newton-Raphson power flow algorithm,” IEE Proceedings: Generation, Transmission and Distribution, vol. 150, no. 6, pp. 691–696, 2003. View at Publisher · View at Google Scholar · View at Scopus
  7. C. Zheng, X. Zhou, R. Li, and C. Sheng, “Study on the steady characteristic and algorithm of power flow for VSC-HVDC,” Proceedings of the CSEE, vol. 25, no. 6, pp. 1–5, 2005. View at Google Scholar
  8. A. Pizano-Martinez, C. R. Fuerte-Esquivel, H. Ambriz-Pérez, and E. Acha, “Modeling of VSC-based HVDC systems for a Newton-Raphson OPF algorithm,” IEEE Transactions on Power Systems, vol. 22, no. 4, pp. 1794–1803, 2007. View at Publisher · View at Google Scholar · View at Scopus
  9. A. Pizano-Martinez, C. R. Fuerte-Esquivel, and C. Angeles-Camacho, “Voltage source converter based high-voltage DC system modeling for optimal power flow studies,” Electric Power Components and Systems, vol. 40, no. 3, pp. 312–320, 2012. View at Google Scholar
  10. C. Liu, B. Zhang, Y. Hou, F. F. Wu, and Y. Liu, “An improved approach for AC-DC power flow calculation with multi-infeed DC systems,” IEEE Transactions on Power Systems, vol. 26, no. 2, pp. 862–869, 2011. View at Publisher · View at Google Scholar · View at Scopus
  11. X. Wang, Y. Song, and M. Irving, Modern Power Systems Analysis, Springer, Berlin, Germany, 2008.
  12. J. Beerten, S. Cole, and R. Belmans, “Generalized steady-state vsc mtdc model for sequential ac/dc power flow algorithms,” IEEE Transactions on Power Systems, vol. 27, no. 2, pp. 821–829, 2012. View at Google Scholar
  13. T. Smed, G. Andersson, G. B. Sheble, and L. L. Grigsby, “A new approach to AC/DC power flow,” IEEE Transactions on Power Systems, vol. 6, no. 3, pp. 1238–1244, 1991. View at Publisher · View at Google Scholar · View at Scopus
  14. Y. Wei, Z. Zheng, Y. Sun, Z. Wei, and G. Sun, “Voltage stability bifurcation analysis for AC/DC systems with VSC-HVDC,” Abstract and Applied Analysis, vol. 2013, Article ID 387167, 9 pages, 2013. View at Publisher · View at Google Scholar
  15. C. R. Fuerte-Esquivel, E. Acha, and H. Ambriz-Pérez, “A comprehensive Newton-Raphson UPFC model for the quadratic power flow solution of practical power networks,” IEEE Transactions on Power Systems, vol. 15, no. 1, pp. 102–109, 2000. View at Google Scholar · View at Scopus
  16. H. Ambriz-Perez, E. Acha, and C. R. Fuerte-Esquivel, “Advanced SVC models for Newton-Raphson load flow and Newton optimal power flow studies,” IEEE Transactions on Power Systems, vol. 15, no. 1, pp. 129–136, 2000. View at Publisher · View at Google Scholar · View at Scopus
  17. C. R. Fuerte-Esquivel and E. Acha, “A Newton-type algorithm for the control of power flow in electrical power networks,” IEEE Transactions on Power Systems, vol. 12, no. 4, pp. 1474–1480, 1997. View at Google Scholar · View at Scopus
  18. M. A. Noor, K. I. Noor, E. Al-Said, and M. Waseem, “Some new iterative methods for nonlinear equations,” Mathematical Problems in Engineering, vol. 2010, Article ID 198943, 12 pages, 2010. View at Publisher · View at Google Scholar · View at MathSciNet · View at Scopus
  19. P. Tang and X. Wang, “An iteration method with generally convergent property for cubic polynomials,” International Journal of Bifurcation and Chaos, vol. 19, no. 1, pp. 395–401, 2009. View at Publisher · View at Google Scholar · View at MathSciNet · View at Scopus
  20. A. Cordero, J. L. Hueso, E. Martínez, and J. R. Torregrosa, “Increasing the convergence order of an iterative method for nonlinear systems,” Applied Mathematics Letters, vol. 25, no. 12, pp. 2369–2374, 2012. View at Publisher · View at Google Scholar · View at MathSciNet
  21. D. Herceg and D. Herceg, “Means based modifications of Newton's method for solving nonlinear equations,” Applied Mathematics and Computation, vol. 219, no. 11, pp. 6126–6133, 2013. View at Publisher · View at Google Scholar · View at MathSciNet
  22. F. Soleymani, S. Karimi Vanani, and A. Afghani, “A general three-step class of optimal iterations for nonlinear equations,” Mathematical Problems in Engineering, vol. 2011, Article ID 469512, 10 pages, 2011. View at Publisher · View at Google Scholar · View at MathSciNet
  23. Z. Y. Sun, Y. Sun, and W. H. Ning, “Power flow algorithm with cubic convergence,” Power System Protection and Control, vol. 37, no. 4, pp. 5–8+28, 2009. View at Google Scholar · View at Scopus
  24. T. Orfanogianni and R. Bacher, “Using automatic code differentiation in power flow algorithms,” IEEE Transactions on Power Systems, vol. 14, no. 1, pp. 138–144, 1999. View at Google Scholar · View at Scopus
  25. M. Bartholomew-Biggs, S. Brown, B. Christianson, and L. Dixon, “Automatic differentiation of algorithms,” Journal of Computational and Applied Mathematics, vol. 124, no. 1-2, pp. 171–190, 2000. View at Publisher · View at Google Scholar · View at Scopus
  26. Q. Jiang, G. Geng, C. Guo, and Y. Cao, “An efficient implementation of automatic differentiation in interior point optimal power flow,” IEEE Transactions on Power Systems, vol. 25, no. 1, pp. 147–155, 2010. View at Publisher · View at Google Scholar · View at Scopus
  27. S. Cole, Steady-State and Dynamic Modeling of VSC-HVDC Systems for Power System Simulation, K. U. Leuven, Leuven, Belgium, 2010.
  28. A. M. Ostrowski, Solution of Equations in Euclidean and Banach Spaces, Academic Press, New York, NY, USA, 1973. View at MathSciNet
  29. J. Kou, Y. Li, and X. Wang, “A modification of Newton method with third-order convergence,” Applied Mathematics and Computation, vol. 181, no. 2, pp. 1106–1111, 2006. View at Publisher · View at Google Scholar · View at Scopus
  30. H. H. H. Homeier, “On Newton-type methods with cubic convergence,” Journal of Computational and Applied Mathematics, vol. 176, no. 2, pp. 425–432, 2005. View at Publisher · View at Google Scholar · View at Scopus
  31. S. K. Parhi and D. K. Gupta, “A sixth order method for nonlinear equations,” Applied Mathematics and Computation, vol. 203, no. 1, pp. 50–55, 2008. View at Publisher · View at Google Scholar · View at Scopus
  32. A. Walther and A. Griewank, A Package for the Automatic Differentiation of Algorithms Written in C/C++, 2009, http://www.coin-or.org/projects/ADOL-C.xml.
  33. Power Systems Test Case Archive, University of Washington, http://www.ee.washington.edu/research/pstca/.
  34. Y. Wei, Z. Wei, and G. Sun, “A commentary on voltage stability of multi-infeed AC/DC system with VSC-HDVC,” in Proceedings of the Asia-Pacific Power and Energy Engineering Conference (APPEEC '11), pp. 1–4, Wuhan, China, March 2011. View at Publisher · View at Google Scholar · View at Scopus