Decentralized AC power flow for multi-area power systems using a decomposition approach based on Lagrangian relaxation

Authors

  • Mauricio Granada-Echeverri Universidad Tecnológica de Pereira
  • Jesús María López-Lezama Universidad de Antioquia
  • José Roberto Sánchez-Mantovani Feis-Unesp-Ilha

Keywords:

Decentralized power flow, multi-area power systems, decomposition techniques

Abstract


A decentralized solution method to the AC power flow problem in power systems with interconnected areas is presented. The proposed methodology allows finding the operation point of a particular area without explicit knowledge of network data of adjacent areas, being only necessary to exchange border information related to the interconnection lines between areas. The methodology is based on the decomposition of the first-order optimality conditions of the AC power flow, which is formulated as a nonlinear programming problem. A 9-bus didactic system, the IEEE Three Area RTS-96 and the IEEE 118 bus test systems are used in order to show the operation and effectiveness of the distributed AC power flow.
|Abstract
= 20 veces | PDF (ESPAÑOL (ESPAÑA))
= 13 veces|

Downloads

Download data is not yet available.

References

J. H. Kim, J. K. Park, B. H. Kim, J. B. Park, D. Hur. “A method of inclusion of security constraints with distributed optimal power flow”. Electrical Power and Energy Systems. Vol. 23. 2001. pp. 189-194.

A. J. Conejo, J. A Aguado. “Multi-area coordinated decentralized DC optimal power flow”. IEEE Transactions on Power Systems. Vol. 13. 1998. pp. 1272-1278.

G. Bakirtzis, P. N. Biskas. “A decentralized solution to the DC-OPF of interconnected power systems”. Transactions on Power Systems. Vol. 18. 2003. pp. 1007-1013.

A. J. Conejo, F. J. Nogales, F. J. Prieto. “A decomposition procedure based on approximate Newton directions”. Mathematical programming. Vol 93. 2002. pp. 495-515.

F. J. Nogales, F. J. Prieto, A. J. Conejo. “A decomposition methodology Applied to the multi-area optimal power flow problem”. Annals of Operations Research. Vol. 120. 2003. pp 99-116.

P. N. Biskas, A. G. Bakirtzis. “Decentralized OPF of large multiarea power system”. IEE Proceedings on Generation Transmission and Distribution. Vol. 153. 2006. pp. 99-105.

B. H. Kim, R. Baldick. “Coarse-grained distributed optimal power flow”. IEEE Transactions on Power Systems. Vol. 12. 1997. pp. 932-939.

R. Baldick, B. H. Kim, C. Chase, Y. Luo. “A fast distributed implementation of optimal power flow”. IEEE Transactions on Power Systems. Vol. 14. 1999. pp. 858-864.

M. Arnold, S. Knopfli, G. Andersson. “Improvement of OPF decomposition methods applied to multi-area power systems”. Proceedings of IEEE Power Tech Conference. Lausanne. Switzerland. 1-5 July 2007. pp. 1308-1313.

G. Hug-Glanzmann. G. Andersson. “Decentralized optimal power flow control of overlapping areas in power systems”. IEEE Transactions on Power Systems. Vol. 24. 2009. pp. 327-336.

Z. Haibo, Z. Boming, S. Hongbin, A. Ran. “A new distributed power flow algorithm between multi-control-centers based on asynchronous iteration”. International Conference on Power System Technology. Chongqing, China. 22-26 Oct. 2006. pp. 1-6.

Y. Phulpin, M. Begovic, M. Petit, J. B. Heyberger, D. Ernst. “Evaluation of network equivalents for voltage optimization in multi-area power systems”. IEEE Transactions on Power Systems. Vol. 24. 2000. pp. 729-743.

A. G. Bakirtzis, P. N. Biskas. “Decentralized DC load flow and applications to transmission management”. IEE Proceeding on Generation Transmission and Distribution. Vol. 149. 2002. pp. 600-606.

H. W. Dommel, W. F. Tinney. “Optimal power flow solutions”. IEEE Transactions on Power Apparatus and Systems. Vol. 87. 1968. pp. 1866-1876.

K. Zollenkopf. Bi-factorization-basic computation algorithm and programming techniques. Large sparse sets of linear equations. Ed. Academic Press. New York. 1971. pp. 75-97.

W. F. Tinney, V. Brandwajn, M. Chan. “Sparse method methods”. IEEE Transactions on Power Apparatus and Systems. Vol. 104. 1985. pp. 295-301.

M. Granada, M. J. Rider, J. R. S. Mantovani and M. Shadidehpour. “Multi-areas optimal reactive power flow”. IEEE/PES Transmission and Distribution Conference and Exposition: Latin America. Bogotá Colombia. August 13-15. 2008. pp. 1-6.

C. Grigg, P. Wong , P. Albrecht, R. Allan, M. Bhavaraju, R. Billinton, Q. Chen, C. Fong, S. Haddad, S. Kuruganty, W. Li, R. Mukerji, D. Patton, N. Rau, D. Reppen, A. Schneider, M. Shahidehpour, C. Singh. “The IEEE reliability test system-1996”. IEEE Transactions on Power Systems. Vol. 14. 1999. pp.1010-1020.

Published

2013-03-07

How to Cite

Granada-Echeverri, M., López-Lezama, J. M., & Sánchez-Mantovani, J. R. (2013). Decentralized AC power flow for multi-area power systems using a decomposition approach based on Lagrangian relaxation. Revista Facultad De Ingeniería Universidad De Antioquia, (53), 225–235. Retrieved from https://revistas.udea.edu.co/index.php/ingenieria/article/view/14793

Most read articles by the same author(s)