Direct Transient Stability Assessment of Stressed Power Systems
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Edition: International
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Direct Transient Stability Assessment of Stressed Power Systems

Authors: E. Popov, N. Yorino, Y. Zoka, Y. Sasaki, H. Sugihara

Abstract:

This paper discusses the performance of critical trajectory method (CTrj) for power system transient stability analysis under various loading settings and heavy fault condition. The method obtains Controlling Unstable Equilibrium Point (CUEP) which is essential for estimation of power system stability margins. The CUEP is computed by applying the CTrjto the boundary controlling unstable equilibrium point (BCU) method. The Proposed method computes a trajectory on the stability boundary that starts from the exit point and reaches CUEP under certain assumptions. The robustness and effectiveness of the method are demonstrated via six power system models and five loading conditions. As benchmark is used conventional simulation method whereas the performance is compared with and BCU Shadowing method.

Keywords: Power system, Transient stability, Critical trajectory method, Energy function method.

Digital Object Identifier (DOI): doi.org/10.5281/zenodo.1093227

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[1] P. Kundur, Power system Stability and Control. The ERPI Power system Engineering Series, 1994, pp. 17.
[2] V. Jalili-Marandi, "Instantaneous relaxation-based real-time transient Stability Simulation,” IEEE Trans. Power Systems, vol. 24, no. 3, pp.1327-1336, Aug. 2009 .
[3] Chen Shen, Jian Wang, "Distributed transient stability simulation of power systems based on a jacobian-free newton-GMRES method,” IEEE Trans. Power Systems, vol. 24, no. 1, pp.146-156, Feb. 2009.
[4] Y. Sasaki, E. Popov, N. Yorino, and Y. Zoka, "A real-time robust dynamic ELD against uncertainties of renewable energy sources,” Innovative Smart Grid Technologies Europe, No. ISGT351, pp.1-5, Oct. 2013.
[5] Yan Xu, Zhao Yang Dong, Ke Meng, Jun Hua Zhao, Kit Po Wong, "A hybrid method for transient stability-constrained optimal power flow computation,” IEEE Trans. Power Systems, vol. 27, no. 4, pp. 1769-1777, Nov. 2012.
[6] L. Hakim, J. Kubokawa, N. Yorino, Y. Zoka, Y. Sasaki, "Total transfer capability assessment incorporating corrective controls for transient stability using TSCOPF,” IEEJ Trans. on Power and Energy, Vol. 130, No.4, pp.399-406, April 2010.
[7] Minghui Yin, C. Y. Chung, K. P. Wong, Yusheng Xue, Yun Zou, "An improved iterative method for assessment of multi-swing transient stability limit,” IEEE Trans. Power Systems, vol. 26, no. 4, pp.2023-2030, Nov. 2011.
[8] T. Odun-Ayo, M. L. Crow, "Structure-preserved power system transient stability using stochastic energy functions,” IEEE Trans. Power Systems, vol. 27, no. 3, pp.1450-1458, Aug. 2012.
[9] H. D. Chiang and J. S. Thorp, "The closest unstable equilibrium point method for power system dynamic security assessment,” IEEE Trans. Circuits Syst, vol. 36, pp. 1187–1199, Dec. 1989.
[10] C. W. Liu, J.S Thorp, "A novel method to compute the closest unstable equilibrium point for transient stability region estimate in power systems,” IEEE Trans on Circuits and Systems I: Fundamental Theory and Applications, Vol. 44, No. 7, pp. 630 -635, July 1997.
[11] G. D. Irisarri, G. C. Ejebe and J. G. Waight, "Efficient solution for equilibrium points in transient energy function analysis,” IEEE Trans. on Power Systems, vol. 9, no. 2, pp. 693-699, 1994.
[12] H. D. Chiang, F. Wu, and P. Varaiya, "A BCU method for direct analysis of power system transient stability,” IEEE Trans. Power Systems, vol. 9, no. 3, 1994.
[13] H. D. Chiang, C. C. Chu, and G. Cauley, "Direct stability analysis of electric power systems using energy functions: Theory, applications, and perspective,” Proceedings of the IEEE, vol. 83, no. 11, 1995.
[14] Y. Mansour, E. Vaahedi, A. Y. Chang, B. R. Corns, B. W. Garrett, K. Demaree, T. Athey, and K. Cheung, "B. C. Hydro’s On-line transient stability assessment (TSA): Model development, analysis, and post-processing,” IEEE Trans. Power Systems, vol. 10, no. 1, pp. 241-253, 1995.
[15] L. F. C. Alberto, and N. G. Bretas, "Application of Melnikov’s method for computing heteroclinic orbits in a classical SMIB power system model,” IEEE Trans. CAS-I, 47-7, pp. 1085-1089, 2000.
[16] A. C. Xue, F. F. Wu, Y. X. Ni, Q. Lu and S. W. Mei, "Power system transient stability assessment based on quadratic approximation of stability region,” Electric Power Systems Research. Vol.76, No. 9/10, pp.709-715, 2006.
[17] J. T. Scruggs, L. Mili, "Dynamic gradient method for PEBS detection in power system transient stability assessment,” Int Jour of Electrical Power and Energy Systems, Vol. 23, No.2, pp. 155-165, 2001.
[18] N. Kakimoto, Y. Ohsawa and M. Hayashi, "Transient stability analysis of electric power system via lur6 type Liapunov function.” Trans. IEE of Japan, vol. 98, No. 5/6, May/June 1978.
[19] A. Llamas, J. De La Ree Lopez, L. Mili, A. G. Phadke, and J. S. Thorp, "Clarifications of the BCU method for transient stability analysis,” IEEE Trans. Power Systems, vol. 10, no. 1, pp. 210-219, 1995.
[20] F. Paganini, and B. C. Lesieutre, "Generic properties, one-parameter deformations, and the BCU Method,” IEEE Trans. CAS-I, 46-6, pp.760-763, 1999.
[21] I. S Nazareno, L. F. C. Alberto and N. G. Bretas, "Problems in the precise determination of BCU's controlling unstable equilibrium points and PEBS's exit point method in real-time transient stability analysis,” Transmission and Distribution Conference and Exposition: Latin America, pp. 475-480, Nov. 2004.
[22] R. T. Treinen, V. Vittal, and W. Kliemann, "An improved technique to determine the controlling unstable equilibrium point in a power system,” IEEE Trans. Circuit and Systems, vol. 43, no. 4, pp. 313-323, 1996.
[23] Y. Kataoka, Y. Tada, H. Okamoto, and R. Tanabe, "Improvement of search efficiency of unstable equilibrium for transient stability assessment,” in National Convention Record, IEE of Japan Power System, pp. 1349-1350, 1999. (in Japanese)
[24] I. Luna-Lopez, J. M. Canedo, A. Loukianov, "Dynamical method for CUEP detection in power system transient stability assessment,” In Proc. of IEEE Power Engineering Society Winter Meeting, 2002. Vol. 1, pp. 189-194, 2002.
[25] Z. D. Li, S. Liu and C. Chen, "New algorithm for the solution of controlling unstable equilibrium point,” International Conference on Power System Technology, Vol. 4, pp. 1999-2003, Kunming, Oct. 2002.
[26] Lei Chen, Yong Min, Fei Xu, Kai-Peng Wang, "A continuation-based method to compute the relevant unstable equilibrium points for power system transient stability analysis,” IEEE Trans. Power Systems, vol. 24, no. 1, pp. 165 – 172, 2009.
[27] Ancheng Xue, Shengwei Mei, Bangpeng Xie, "A comprehensive method to compute the controlling unstable equilibrium point,” IEEE Electric Utility Deregulation and Restructuring and Power Technologies, Third International Conference, pp. 1115 – 1120, 2008.
[28] H.D. Chiang, Direct Methods for Stability Analysis of Electric Power Systems: Theoretical Foundation, BCU Methodologies, and Applications. Wiley, 1 edition, 2010, pp. 80.
[29] T. Athey, R. Podmore, and S. Virmani, "A practical method for direct analysis of transient stability,” IEEE Trans. Power Apparatus and Sys-tems, vol. PAS-98, pp. 573-584, 1979.
[30] N. Yorino, A. Priyadi, H. Kakui, M. Takeshita, " A new method for obtaining critical clearing time for transient stability,” IEEE Trans. Power Systems, vol. 25, no. 3, pp. 1620 – 1626, 2010.
[31] N. Yorino, A. Priyadi, R.A. Mutalib, Y. Sasaki, Y. Zoka, H. Sugihara, "A direct method for obtaining critical clearing time for transient stability using critical generator conditions,” European Transactions on Electrical Power, vol. 22, issue 5 pp.674 – 687. 2010.
[32] N. Yorino, E. Popov, Y. Zoka, Y. Sasaki, and H. Sugihara, ”An application of critical trajectory method to BCU problem for transient stability studies,” IEEE Transactions on Power Systems, Vol. 28, No. 4, pp.4237-4244 , 2013.
[33] E. Popov, N. Yorino, Y. Zoka, Y. Sasaki, and H. Sugihara, "Robust method for detection of CUEP for power system transient stability screening,” Innovative Smart Grid Technologies Europe, No. ISGT316, pp.1-5,Oct. 2013.
[34] E Popov , N. Yorino, Y. Sasaki, Y. Zoka, and H. Sugihara, "Robust method for detection of CUEP in power systems,” IEEJ Transactions on Power and Energy, Vol.134, No.2, pp.1-9, Feb. 2014.
[35] P. M. Anderson and A. A. Fouad, Power System Control and Stability. Wiley-IEEE Press, 2002, pp. 38.