Summary

Proceedings of the 2013 International Symposium on Nonlinear Theory and its Applications

2013

Session Number:A2L-D

Session:

Number:69

Phase-Model Analysis of Supply Stability in Power Grid of Eastern Japan

Motoki Nagata,  Isao Nishikawa,  Naoya Fujiwara,  Gouhei Tanaka,  Hideyuki Suzuki,  Kazuyuki Aihara,  

pp.69-72

Publication Date:

Online ISSN:2188-5079

DOI:10.15248/proc.2.69

PDF download (527.3KB)

It is becoming very important to ensure a stable supply of energy because of the recent developments in renewable and decentralized energy. In order to stabilize the supply of power grids, it is useful to analyze mathematical models. In the field of nonlinear science, power grids have been described by phase models and the minimum coupling strength for global frequency synchronization has been used as a measure of stability in power grids. Such studies regard frequency synchronization as the hallmark of a stable supply. In fact, however, if the coupling strength is near the synchronization transition point, the supply of energy is sometimes destabilized. Therefore, a new stability criterion is required. In this paper, we take into account the fact that the phase difference between generators and substations in a model of real power grids is very small. We define a modified minimum coupling strength (MMCS) and calculate it by using the topology of the power grid in eastern Japan. Further, we identify important links for a stable supply by the MMCS.

[1] Y. Ikeda, T. Ikegami, K. Kataoka, and K. Ogimoto, IEEE Power and Energy Society General Meeting, pp. 1-7, 2012.

[2] A. Bergen and D. Hill, IEEE Transactions on Power Apparatus and Systems, vol. PAS-100, no. 1, pp. 25-35, 1981.

[3] A. Motter and Y. Lai, Physical Review E, vol. 66, no. 6, 065102, 2002.

[4] P. Crucitti, V. Latora, and M. Marchiori, Physical Review E, vol. 69, no. 4, 045104, 2004.

[5] Q. Zhou and J. Bialek, IEEE Transactions on Power Systems, vol. 20, no. 2, pp. 782-788, 2005.

[6] G. Filatrella, A. H. Nielsen, and N. F. Pedersen, European Physical Journal B, vol. 61, no. 4, pp. 485-491, 2008.

[7] L. Buzna, S. Lozano, and A. Díaz-Guilera, Physical Review E, vol. 80, no. 6, 066120, 2009.

[8] S. Lozano, L. Buzna, and A. Díaz-Guilera, The European Physical Journal B, vol. 85, no. 7, pp. 231-238, 2012.

[9] D. Witthaut and M. Timme, New Journal of Physics, vol. 14, no. 8, 083036, 2012.

[10] A. E. Motter, S. A. Myers, M. Anghel, and T. Nishikawa, Nature Physics, vol. 9, no. 1, pp. 1-7, 2013.

[11] P. Kundur, Power System Stability and Control. McGraw-Hill, Inc., 1994.

[12] R. Albert, I. Albert, and G. Nakarado, Physical Review E, vol. 69, no. 2, 025103, 2004.

[13] R. Kinney, P. Crucitti, R. Albert, and V. Latora, The European Physical Journal B, vol. 46, no. 1, pp. 101-107, 2005.

[14] P. Hines, E. Cotilla-Sanchez, and S. Blumsack, Chaos (Woodbury, N.Y.), vol. 20, no. 3, 033122, 2010.