Direct Transient Stability Assessment of Stressed Power Systems
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.
[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.
[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.
@article{"International Journal of Electrical, Electronic and Communication Sciences:67470", author = "E. Popov and N. Yorino and Y. Zoka and Y. Sasaki and H. Sugihara", title = "Direct Transient Stability Assessment of Stressed Power Systems", 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.", volume = "8", number = "6", pages = "910-8", }
