A Stochastic Nonlinear Excitation Controller for Transient Stabilization in a Power System

Authors

Yan Xu, Fushuan Wen, Ivo Palu, Zeng Yang, Minghui Chen, Hongwei Zhao, Huiyu Shang

Abstract

Stochastic disturbances caused by renewable energy systems (e.g., wind power and solar power) may deteriorate the transient stability problems in a power system. This paper proposes a stochastic nonlinear excitation controller for transient stability enhancement in a multimachine power system. The third-order model of generators is adopted. A new probabilistic stability criterion is presented where the magnitude of a stochastic disturbance is included explicitly. Then the whole power system is represented by a nonlinear stochastic differential equation set. The proposed excitation controller is implemented by leveraging the feature of a stochastic port-Hamiltonian system. Compared with the controller design methods based on the deterministic power system model, the proposed method can improve the system stability even in the presence of continuous stochastic disturbances on power injections. Besides, it is convenient to select the Hamiltonian function as the stochastic Lyapunov function in the proposed approach. Finally, the effectiveness of the proposed method is demonstrated by a two-area test system with a three-phase fault.

Citation

• Journal: 2019 IEEE 60th International Scientific Conference on Power and Electrical Engineering of Riga Technical University (RTUCON)
• Year: 2019
• Volume:
• Issue:
• Pages: 1–4
• Publisher: IEEE
• DOI: 10.1109/rtucon48111.2019.8982375

BibTeX

@inproceedings{Xu_2019,
  title={{A Stochastic Nonlinear Excitation Controller for Transient Stabilization in a Power System}},
  DOI={10.1109/rtucon48111.2019.8982375},
  booktitle={{2019 IEEE 60th International Scientific Conference on Power and Electrical Engineering of Riga Technical University (RTUCON)}},
  publisher={IEEE},
  author={Xu, Yan and Wen, Fushuan and Palu, Ivo and Yang, Zeng and Chen, Minghui and Zhao, Hongwei and Shang, Huiyu},
  year={2019},
  pages={1--4}
}

Download the bib file

References

• Odun-Ayo, T. & Crow, M. L. Structure-Preserved Power System Transient Stability Using Stochastic Energy Functions. IEEE Transactions on Power Systems vol. 27 1450–1458 (2012) – 10.1109/tpwrs.2012.2183396
• Ju, P. et al. Analytical Assessment for Transient Stability Under Stochastic Continuous Disturbances. IEEE Transactions on Power Systems vol. 33 2004–2014 (2018) – 10.1109/tpwrs.2017.2720687
• kundur, Power System Stability and Control (1994)
• Billinton, R. & Kuruganty, P. R. S. Probabilistic Assessment of Transient Stability in a Practical Multimachine System. IEEE Transactions on Power Apparatus and Systems vol. PAS-100 3634–3641 (1981) – 10.1109/tpas.1981.316657
• Xu, Y. et al. Stochastic Small Signal Stability of a Power System with Uncertainties. Energies vol. 11 2980 (2018) – 10.3390/en11112980
• Hua Deng, Krstic, M. & Williams, R. J. Stabilization of stochastic nonlinear systems driven by noise of unknown covariance. IEEE Transactions on Automatic Control vol. 46 1237–1253 (2001) – 10.1109/9.940927
• Sontag, E. D. Smooth stabilization implies coprime factorization. IEEE Transactions on Automatic Control vol. 34 435–443 (1989) – 10.1109/9.28018
• Satoh, S. & Fujimoto, K. Passivity Based Control of Stochastic Port-Hamiltonian Systems. IEEE Transactions on Automatic Control vol. 58 1139–1153 (2013) – 10.1109/tac.2012.2229791
• Satoh, S. & Fujimoto, K. On passivity based control of stochastic port-Hamiltonian systems. 2008 47th IEEE Conference on Decision and Control 4951–4956 (2008) doi:10.1109/cdc.2008.4738733 – 10.1109/cdc.2008.4738733
• Ortega, R. & Spong, M. W. Adaptive motion control of rigid robots: A tutorial. Automatica vol. 25 877–888 (1989) – 10.1016/0005-1098(89)90054-x
• Wang, Y., Hill, D. J., Middleton, R. H. & Gao, L. Transient stability enhancement and voltage regulation of power systems. IEEE Transactions on Power Systems vol. 8 620–627 (1993) – 10.1109/59.260819
• Kumar, B. K., Singh, S. N. & Srivastava, S. C. A decentralized nonlinear feedback controller with prescribed degree of stability for damping power system oscillations. Electric Power Systems Research vol. 77 204–211 (2007) – 10.1016/j.epsr.2006.02.014
• Kanchanaharuthai, A., Chankong, V. & Loparo, K. A. Transient Stability and Voltage Regulation in Multimachine Power Systems Vis-à-Vis STATCOM and Battery Energy Storage. IEEE Transactions on Power Systems vol. 30 2404–2416 (2015) – 10.1109/tpwrs.2014.2359659
• Mahmud, M. A., Pota, H. R., Aldeen, M. & Hossain, M. J. Partial Feedback Linearizing Excitation Controller for Multimachine Power Systems to Improve Transient Stability. IEEE Transactions on Power Systems vol. 29 561–571 (2014) – 10.1109/tpwrs.2013.2283867
• Wang, X., Chiang, H.-D., Wang, J., Liu, H. & Wang, T. Long-Term Stability Analysis of Power Systems With Wind Power Based on Stochastic Differential Equations: Model Development and Foundations. IEEE Transactions on Sustainable Energy vol. 6 1534–1542 (2015) – 10.1109/tste.2015.2454333
• Milano, F. & Zarate-Minano, R. A Systematic Method to Model Power Systems as Stochastic Differential Algebraic Equations. IEEE Transactions on Power Systems vol. 28 4537–4544 (2013) – 10.1109/tpwrs.2013.2266441
• Cvetkovic, M. & Ilic, M. D. Ectropy-Based Nonlinear Control of FACTS for Transient Stabilization. IEEE Transactions on Power Systems vol. 29 3012–3020 (2014) – 10.1109/tpwrs.2014.2315962
• Wang, K. & Crow, M. L. The Fokker-Planck Equation for Power System Stability Probability Density Function Evolution. IEEE Transactions on Power Systems vol. 28 2994–3001 (2013) – 10.1109/tpwrs.2012.2232317
• Dong, Z. Y., Zhao, J. H. & Hill, D. J. Numerical Simulation for Stochastic Transient Stability Assessment. IEEE Transactions on Power Systems vol. 27 1741–1749 (2012) – 10.1109/tpwrs.2012.2187466
• Caliskan, S. Y. & Tabuada, P. Compositional Transient Stability Analysis of Multimachine Power Networks. IEEE Transactions on Control of Network Systems vol. 1 4–14 (2014) – 10.1109/tcns.2014.2304868
• Transient stabilization of multimachine power systems with nontrivial transfer conductances. IEEE Transactions on Automatic Control vol. 50 60–75 (2005) – 10.1109/tac.2004.840477