Transient Stability Margins Evaluation Based Upon Probabilistic Approach


(*) Corresponding author


Authors' affiliations


DOI's assignment:
the author of the article can submit here a request for assignment of a DOI number to this resource!
Cost of the service: euros 10,00 (for a DOI)

Abstract


Transient stability is recognized as a crucial aspect both in planning and operating conditions and it constitutes one of the most crucial challenges to address for the designers and for operators. Furthermore, the recent evolution of the methodologies employed in this context allows to treat in a more systematic manner some aspects related to the inherent randomness of the problem. In light of this considerations, the paper proposes a new probabilistic approach for deriving the stability margins of an electrical power system, taking into account the stochastic nature of the main problem randomness: the fault clearing time, the reclosing time and the fault type and location. Differently from previous works, the probabilistic approach properly considers also the friction forces which make more difficult the mathematical formulation of the problem. In order to give a measure of the system exploitation with respect its own transient stability, a probabilistic stability index has been adopted in the work. In the last part of the paper, a numerical application is presented in order to show the feasibility and the effectiveness of the proposed methodology
Copyright © 2013 Praise Worthy Prize - All rights reserved.

Keywords


Transient Stability; Transient Stability Margins; Probability; Exploitation

Full Text:

PDF


References


Radha Rani, K., Amarnath, J., Kamakshaiah, S., Transient stability and contingency analysis of power system in deregulated environment, (2011) International Review on Modelling and Simulations (IREMOS), 4 (3), pp. 1257-1265.

Lauria, D., Pisani, C., Transient stability assessment based upon differential transform method, (2012) International Review of Electrical Engineering (IREE), 7 (4), pp. 4925-4935.

P. Kundur, Power System Stability and Control, (1993, Electric Power System Research, Power System Engineering Series, McGraw-Hill).

R. Billinton, P.R.S. Kuruganty, An approximate method for probabilistic assessment of transient stability, IEEE Trans. on Reliability, Vol. 28, No 3, pp.255-258, 1979.

R. Billinton, P.R.S. Kuruganty, A probabilistic index for transient stability, IEEE Trans. on PAS, Vol. 99, No 1, pp.195-206, 1980.

R. Billinton, P.R.S. Kuruganty, Probabilistic assessment of transient stability, IEEE Trans. on PAS, Vol. 100, No 5, pp. 2163-2170, 1981a.

R. Billinton, P.R.S. Kuruganty, Probabilistic assessment of transient stability in a practical multimachine system, IEEE Trans. on PAS, Vol 100, No 5, pp. 3634-3641, 1981b.

R. Billinton, P.R.S. Kuruganty, Protection system modelling in a probabilistic assessment of transient stability, IEEE Trans. on PAS, Vol. 100, No 7, pp. 3664-3641, 1981c.

P.M. Anderson, A. Bose, A probabilistic approach to power system stability analysis, IEEE Trans. on PAS, Vol 102, No. 4, pp 2430-2439, 1983.

Y.Y. Hsu, C.L. Chang, Probabilistic transient stability studies using the conditional probability approach, IEEE Trans. on PAS, Vol. 3, No 4., pp. 1565-1572, 1988.

E. Chiodo, D. Lauria, Probabilistic Transient Stability Assessment and on Line Bayes Estimation In G.J. Anders and A. Vaccaro, Innovations in Power Systems Reliability, (London, Springer-Verlag, 2011).

G.J. Anders, Probability Concepts in Electric Power Systems, (John Wiley, New York, 1990).

E. Chiodo, F. Gagliardi, D. Lauria, A probabilistic approach to transient stability evaluation, IEE Proceedings - Generation, Transmission and Distribution, Vol. 141, No 5, pp. 537-544, 1994.

E. Chiodo, D. Lauria, Transient stability evaluation of multimachine power systems: a probabilistic approach based upon the Extended Equal Area Criterion, IEE Proceedings - Generation, Transmission and Distribution, Vol. 141, No 6, pp. 545-553, 1994.

F. Allella, E. Chiodo, D. Lauria, Analytical Evaluation and Robustness Analysis of Power System Transient Stability Probability, Electrical Engineering Research Report, NR. 16, , pp. 1-13, 2003.

F. Allella, E. Chiodo, D. Lauria., Transient Stability Probability Assessment and Statistical Estimation, Electric Power Systems Research, Volume 67, n. 1, pp. 21-33, 2003.

C. Juarez, I. Martinez, Analysis of power system stability using phase plane analysis of linear OMIB equivalents, IEEE Electrical Eng.Computing Science and Automatic Control Conference, Oct 26-28, 2011, Tianguistenco, Mexico.

D. Lauria, C. Pisani and D. Villacci, Transient Stability Margins Assessment based upon quadratic stability region approximation, IEEE Energycon 2012 , Sept. 9-12, Florence , Italy.

A.R Bergen, V. Vittal, Power system analysis, (Upper Saddle River, NJ: Prentice Hall, 2000)

J. Endreneyi, Reliability modeling in electric power system, (Wiley, New York, 1978).

A. Papoulis, Probability, Random Variables, Stochastic Processes, (third ed, McGraw Hill, New York, 1991).

E. Chiodo, F. Gagliardi, M. La Scala, D. Lauria, Probabilistic on-line transient stability analysis, Proceedings of the IEE, Part C 146 (2), pp. 176-180, 1999.

R.A. Johnson, Stress-strength models for reliability, In: P.R. Krishnaiah, C.R. Rao (Eds.), Handbook of Statistics, vol. 7, (North-Holland, Amsterdam, pp. 27-53, 1988).

I.A. Ushakov, R.A. Harrison, Handbook of Reliability Engineering, (Wiley, New York, 1994).

D.R. Cox, D. Oakes, Analysis of Survival Data, (Chapman & Hall, London, 1984).

E.L. Crow, K. Shimizu, Lognormal Distributions, (Marcel Dekker, New York, 1988).

R. Billinton, S. Aboreshaid, Stochastic Modeling of high-speed reclosing for probabilistic transient stability studies. IEE Proc., Part C, 1995, 142, (4), pp.350-354, 1995.

X. Zhao, J. Zhou, Probabilistic Transient Stability Assessment Based on Distributed DSA Computation Tool, IEEE International Conference on Probabilistic Methods Applied to Power Systems PMAPS, 14-17 June ,2010,Chongqing, China.


Refbacks

  • There are currently no refbacks.



Please send any question about this web site to info@praiseworthyprize.com
Copyright © 2005-2024 Praise Worthy Prize