On the Modeling and State Estimation for Dynamic Power System
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On the Modeling and State Estimation for Dynamic Power System

Authors: A. Thabet, M. Boutayeb, M. N. Abdelkrim

Abstract:

This paper investigates a method for the state estimation of nonlinear systems described by a class of differential-algebraic equation (DAE) models using the extended Kalman filter. The method involves the use of a transformation from a DAE to ordinary differential equation (ODE). A relevant dynamic power system model using decoupled techniques will be proposed. The estimation technique consists of a state estimator based on the EKF technique as well as the local stability analysis. High performances are illustrated through a simulation study applied on IEEE 13 buses test system.

Keywords: Power system, Dynamic decoupled model, Extended Kalman Filter, Convergence analysis, Time computing.

Digital Object Identifier (DOI): doi.org/10.5281/zenodo.1335998

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References:


[1] N.R. Shivakumar and A. Jain, "A review of power system dynamic state estimation techniques,” in Power Syst. Technology and IEEE Power India Conf., New Delhi, India, 2008, pp.1–6.
[2] R. Neela and P. Aravindhababu, "A new decoupling strategy for power system state estimation,” Int. J. of Energy Convers. and Management, vol.50, pp.2047–2051, 2009.
[3] A. Thabet, S. Chniba, D. Gaetan, M. Boutayeb and M.N. Abdelkrim, "Power systems load flow and state estimation: Modified methods and evaluation of stability and speeds computing.” Int. Rev. of Electr. Eng., vol.5, pp.1110–1118, 2010.
[4] E. Scholtz, "Observer based monitors and distributed wave controllers for electromechanical disturbances in power systems,” Ph.D. dissertation, Massachusetts Institute Technology, USA, 2004.
[5] M.A. Pai, P.W. Sauer, B.C. Lesieutre and R. Adapa, "Structural stability in power systems-effect of load models,” IEEE Trans. on Power Syst., vol.10, pp.609–615, 1995.
[6] C.J. Dafis, "An observbility formulation for nonlinear power systems modeled as differential algebraic systems,” Ph.D. dissertation, Drexel university, PA, USA, 2005.
[7] A.S. Debes and R.E. Larson, "A dynamic estimator for tracking the state of a power system.” IEEE Trans. on Power App. And Syst., vol.89, pp.1670–1678, 1970.
[8] J. Aslund and E. Frisk, "An observer for nonlinear differential-algebraic systems,” Autmatica, vol.42, pp.959–965, 2006.
[9] T. Wichmann, "Simplification of nonlinear DAE systems with index tacking,” in European Conf. on Circuit Theory and Design, Espoo, Finland, 2001, pp.173–176.
[10] R. Nikoukhah, A. Willsky and B. Levy, "Kalman filtering and riccati equations for descriptor systems,” IEEE Trans. on Autom. Control, vol.37, pp.1325–1342, 1992.
[11] M.F. Isabel and F.P. Barbosa, "Square root filter algorithm for dynamic state estimation of electric power systems,” in Electrotechnical Conference, 7th Mediterranean, Antalya, Turkey, 1994, pp.877–880.
[12] K. Shih and S. Huang, "Application of a robust algorithm for dynamic state estimation of a power system.” IEEE Trans. on Power Syst., vol.17, pp.141–147, 2002.
[13] K.Yu, N. Watson and J. Arrillaga, "An adaptive Kalman filter for dynamic harmonic state estimation and harmonic injection tracking,” IEEE Trans. on Power Delivery, vol.20, pp.1577–1584, 2005.
[14] H. Ma and A. Grigis, "Identification and tracking of harmonic sources in a power system using Kalman filter,” IEEE Trans. on Power Delivery, vol.11, pp.1659–1665, 1996.
[15] H. Beids and G. Heydt, "Dynamic state estimation of power system harmonics using kalman filter methodology,” IEEE Trans. on Power Delivery, vol.6, pp.1663–1670, 1991.
[16] F. Chowdhury, J. Christensen and J. Aravena, "Power system fault detection and state estimation using Kalman filter with hypothesis testing,” IEEE Trans. on Power Delivery, vol.6, pp.1025–1030, 1991.
[17] Roytelman and S. Shahidehpour, "State estimation for electric power distribution systems in quasi real-time conditions,” IEEE Trans. on Power Delivery, vol.8, pp.2009–2015, 1993.
[18] B.W. Gordon, "Dynamic sliding manifolds for realization of high index differential-algebraic systems,” Asian J. of Control, vol.5, pp.454–466, 2003.
[19] D.C. Tarraf and H.H. Asada, "On the nature and stability of differential-algebraic systems,” in Proc. American Control Conf., Anchorage, USA, 2002, pp.3546–3551.
[20] M. Eremia, J. Trecat and A. Germond, "Réseaux électriques: Aspects Actuels, 2nd ed. Bucuresti, EdituraTehnica, 2000.
[21] D. Karlsson and D.J. Hill, "Modelling and identification of nonlinear dynamic loads in power systems,” IEEE Trans. on Power Syst., vol.9, pp.157–166, 1994.
[22] K. Judd, "Nonlinear state estimation in distinguishable states and the extended Kalman filter,” Physica D: Nonlinear Phenomena, vol.183, pp.273–281,2003.
[23] V.M. Becerra, P.D. Roberts and G.W. Griffiths, "Applying the extended Kalman filter to systems described by nonlinear differential-algebraic equations,” Control Eng. Practice, vol.9, pp.267–281, 2001.
[24] M. Boutayeb and C. Aubry, "A strong tracking extended Kalman observer for nonlinear discrete-time systems,” IEEE Trans. on Autom. Control, vol.44, pp.1550–1556, 1999.
[25] M. Boutayeb, "Identification of nonlinear systems in the presence of unknown but bounded disturbances,” IEEE Trans. on Autom. Control, vol.45, pp.1503–1507, 2000.
[26] Y. Song and J. Grizzle, "The extended kalman filter as a local asymptotic observer for non linear discrete-time systems,” J. of Math. Syst. Estimation and Control, vol.5, pp. 59–78, 1995.