A direct-based method for real-time transient stability assessment of power systems

Khazaee, Saeed and Hayerikhiyavi, Mohammadali and Montaser Kouhsari, Shahram (2020): A direct-based method for real-time transient stability assessment of power systems. Published in: Computational Research Progress in Applied Science & Engineering , Vol. 06, No. 02 (28 February 2020): pp. 108-113.

Abstract

Power system stability is a problem that has challenged power system engineers for many years. This paper studies transient stability assessment using direct methods by Equal Area Criterion (EAC) and Transient Energy Function (TEF). It introduces a Stability Margin Index (SMI) for the power systems based on kinetic energy. Firstly, the proposed method calculates the critical angles and the critical kinetic energies for all machines in a power system using EAC method. Next, when a fault occurs, by using TEF and the kinetic energy, the system is divided into two bunches: the Critical Machine Group (CMG), and Non-Critical Machine Group (NCMG). Then, the stability margin of the system is rapidly judged by using the proposed SMI. By this method, the stability of the system in real-time and at any moment is calculated. Due to the simple calculations, low requirement of data and, non-requirement post-fault data, the calculation time in comparison to the other ways in which directly potential energy obtained, is much less and appropriate for real-time applications. The proposed method has been applied to IEEE 9 bus test systems and the results show the usefulness and effectiveness of this method.

• Item Type: MPRA Paper
• Language: English
• Keywords: Transient stability; direct methods; energy function; critical machines
• Subjects: O - Economic Development, Innovation, Technological Change, and Growth > O1 - Economic Development > O13 - Agriculture ; Natural Resources ; Energy ; Environment ; Other Primary Products; P - Economic Systems > P2 - Socialist Systems and Transitional Economies > P28 - Natural Resources ; Energy ; Environment; Q - Agricultural and Natural Resource Economics ; Environmental and Ecological Economics > Q2 - Renewable Resources and Conservation > Q26 - Recreational Aspects of Natural Resources

References

[1] C.-W. Liu, M.-C. Su, S.-S. Tsay, and Y.-J. Wang, "Application of a novel fuzzy neural network to real-time transient stability swings prediction based on synchronized phasor measurements," IEEE Transactions on Power Systems, vol. 14, pp. 685-692, 1999.

[2] R. Evans and C. Wagner, "Studies of transmission stability," Transactions of the American Institute of Electrical Engineers, vol. 45, pp. 51-94, 1926.

[3] P. Kundur, N. J. Balu, and M. G. Lauby, Power system stability and control vol. 7: McGraw-hill New York, 1994.

[4] V. Vittal and A. Bergen, "Power systems analysis," Prentice Hall, pp. 1-2, 1999.

[5] P. C. Magnusson, "The transient-energy method of calculating stability," Transactions of the American Institute of Electrical Engineers, vol. 66, pp. 747-755, 1947.

[6] H. Al Marhoon, I. Leevongwat, and P. Rastgoufard, "A practical method for power systems transient stability and security analysis," in PES T&D 2012, 2012, pp. 1-6.

[7] A. Michel, A. Fouad, and V. Vittal, "Power system transient stability using individual machine energy functions," IEEE Transactions on Circuits and Systems, vol. 30, pp. 266-276, 1983.

[8] Q. Jiang and Z. Huang, "An enhanced numerical discretization method for transient stability constrained optimal power flow," IEEE Transactions on Power Systems, vol. 25, pp. 1790-1797, 2010.

[9] C. Wang, K. Yuan, P. Li, B. Jiao, and G. Song, "A projective integration method for transient stability assessment of power systems with a high penetration of distributed generation," IEEE Transactions on Smart Grid, vol. 9, pp. 386-395, 2016.

[10] A. Priyadi, N. Yorino, O. A. Qudsi, and M. H. Purnomo, "CCT computation method based on critical trajectory using simultaneous equations for transient stability analysis," in 2014 6th International Conference on Information Technology and Electrical Engineering (ICITEE), 2014, pp. 1-6.

[11] M. Pavella, D. Ernst, and D. Ruiz-Vega, Transient stability of power systems: a unified approach to assessment and control: Springer Science & Business Media, 2012.

[12] Y. Xue, T. Van Custem, and M. Ribbens-Pavella, "Extended equal area criterion justifications, generalizations, applications," IEEE Transactions on Power Systems, vol. 4, pp. 44-52, 1989.

[13] S. Mahdavi and A. Dimitrovski, "Coordinated voltage regulator control in systems with high-level penetration of distributed energy resources," in 2019 North American Power Symposium (NAPS), 2019, pp. 1-6.

[14] S. Mahdavi and A. Dimitrovski, "Integrated Coordination of Voltage Regulators with Distributed Cooperative Inverter Control in Systems with High Penetration of DGs," in 2020 IEEE Texas Power and Energy Conference (TPEC), 2020, pp. 1-6.

[15] N. Sarikhani and A. G. Mazidi, "Online Distribution System's Voltage Stability Margin Monitoring Using Neural Networks and Optimization Algorithm," Computational Research Progress in Applied Science & Engineering, vol. 2, pp. 23-27, 2016.

[16] H. P. S. Mahdavi, A. Dimitrovski and Q. Zhou, "Predictive and Cooperative Voltage Control with Probabilistic Load and Solar Generation Forecasting," in 2020 IEEE International Conference on Probabilistic Methods Applied to Power Systems (PMAPS), Liege, Belgium, 2020, pp. 1-6.

[17] H. Shokouhandeh, M. Ghaharpour, H. G. Lamouki, Y. R. Pashakolaei, F. Rahmani, and M. H. Imani, "Optimal Estimation of Capacity and Location of Wind, Solar and Fuel Cell Sources in Distribution Systems Considering Load Changes by Lightning Search Algorithm," in 2020 IEEE Texas Power and Energy Conference (TPEC), 2020, pp. 1-6.

[18] R. P. A. Taghavirashidizadeh, M. Hayerikhiyavi, M. Zahedi, "A Genetic Algorithm for Multi-Objective Reconfiguration of Balanced and Unbalanced Distribution Systrms in Fuzzy Framework," Journal of Critical Reviews, vol. 7(7), pp. 639-343, 2020.

[19] F. Milano, "An open source power system analysis toolbox," IEEE Transactions on Power systems, vol. 20, pp. 1199-1206, 2005.

[20] P. M. Anderson and A. Fouad, Power system stability: Wiley-IEEE Press, 2003.

[21] A. Pizano-Martianez, C. R. Fuerte-Esquivel, and D. Ruiz-Vega, "Global transient stability-constrained optimal power flow using an OMIB reference trajectory," IEEE Transactions on Power Systems, vol. 25, pp. 392-403, 2009.

[22] A. Vahidnia, G. Ledwich, E. Palmer, and A. Ghosh, "Dynamic equivalent state estimation for multi-area power systems with synchronized phasor measurement units," Electric power systems research, vol. 96, pp. 170-176, 2013.

[23] R. F. Gibson, E. O. Ayorinde, and Y.-F. Wen, "Vibrations of carbon nanotubes and their composites: a review," Composites science and technology, vol. 67, pp. 1-28, 2007.

[24] H. Richter, D. Simon, W. A. Smith, and S. Samorezov, "Dynamic modeling, parameter estimation and control of a leg prosthesis test robot," Applied Mathematical Modelling, vol. 39, pp. 559-573, 2015.