Stability of a Class of Power System with Interval Parameters

Article Preview

Abstract:

The main discussion in this paper is the stability of power system with interval parameters. By Lyapunov method, matrix theory and so on, the stability theorem of models with interval parameters is provided. Taking an asynchronous wind turbine model as simulation example, the interval that makes the simulation example stable is found, and the numerical simulation shows that the theorem is not only effective but also practical.

You might also be interested in these eBooks

Info:

Periodical:

Pages:

270-274

Citation:

Online since:

June 2014

Export:

Price:

Permissions CCC:

Permissions PLS:

Сopyright:

© 2014 Trans Tech Publications Ltd. All Rights Reserved

Share:

Citation:

* - Corresponding Author

[1] H.L. Guan, Y.N. Chi and H.Z. Dai, et a1: Asynchronous wind turbines connected to the system small signal stability and control. The automation of electric power systems, Vol. 32 (2008), pp.54-57.

Google Scholar

[2] L.H. Yang, G.Y. Yang and Z. Xu, et a1: Optimal controller design of a doubly-fed induction generator wind turbine system for small signal stability enhancement. IET Generation, Transmission and Distribution, Vol. 4 (2010), pp.579-597.

DOI: 10.1049/iet-gtd.2009.0553

Google Scholar

[3] L.B. Shi, L. Kang and Y.X. Ni, et a1: Small signal stability analysis with penetration of grid-connected wind farm of PMSG type. Automation of Electric Power Systems(in Chinese), Vol. 36 (2012), pp.171-177.

DOI: 10.1109/apap.2011.6180400

Google Scholar

[4] C. Wang, L.B. Shi and L.Z. Yao, et al: Mass type doubly-fed wind power of small disturbance stability analysis. Proceedings of the CSEE, Vol. 4 (2010), pp.63-70.

Google Scholar

[5] J.L. Jiang, Q. Chao and J.W. Chen, et al: Different frequency response characteristics of wind turbine simulation analysis[J]. Renewable energy sources, Vol. 28 (2010), pp.24-28.

Google Scholar

[6] E. Haesen, C. Bastiaensen and J. Driesen, et al: A probabilistic formulation of load margins in power systems with stochastic generation. IEEE T Power Syst, Vol. 24 (2009), pp.951-958.

DOI: 10.1109/tpwrs.2009.2016525

Google Scholar

[7] L.C. Chen and W.Q. Zhu: First passage failure of dynamical power systems under random perturbations. Sci China Tech Sci, Vol. 53 (2010), pp.2495-2500.

DOI: 10.1007/s11431-010-4070-9

Google Scholar

[8] J.Y. Zhang, P. Ju and Y.P. Yu, et al: Responses and stability of power system under small Gauss type random excitation. Science China: Technology Science, Vol. 42 (2012), pp.851-857.

DOI: 10.1007/s11431-012-4893-7

Google Scholar

[9] Z. N. Ma and Y. C. Zhou: Qualitative and stability of ordinary differential equation method of (Science Publications, Peking 2001).

Google Scholar

[10] X.X. Liao and G.L. Qian: Some new results for stability of interval matrices. Control Theory and Advanced Technology, Vol. 7 (1988) pp.265-275.

Google Scholar

[11] S.G. Wang and M.X. Wu, Z.Z. Jia: Matrix Inequality (Science Publications, Peking 2006).

Google Scholar