On the Modeling and State Estimation for Dynamic Power System
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.
Digital Object Identifier (DOI): doi.org/10.5281/zenodo.1335998Procedia APA BibTeX Chicago EndNote Harvard JSON MLA RIS XML ISO 690 PDF Downloads 2368
 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.
 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.
 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.
 E. Scholtz, "Observer based monitors and distributed wave controllers for electromechanical disturbances in power systems,” Ph.D. dissertation, Massachusetts Institute Technology, USA, 2004.
 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.
 C.J. Dafis, "An observbility formulation for nonlinear power systems modeled as differential algebraic systems,” Ph.D. dissertation, Drexel university, PA, USA, 2005.
 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.
 J. Aslund and E. Frisk, "An observer for nonlinear differential-algebraic systems,” Autmatica, vol.42, pp.959–965, 2006.
 T. Wichmann, "Simplification of nonlinear DAE systems with index tacking,” in European Conf. on Circuit Theory and Design, Espoo, Finland, 2001, pp.173–176.
 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.
 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.
 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.
 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.
 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.
 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.
 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.
 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.
 B.W. Gordon, "Dynamic sliding manifolds for realization of high index differential-algebraic systems,” Asian J. of Control, vol.5, pp.454–466, 2003.
 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.
 M. Eremia, J. Trecat and A. Germond, "Réseaux électriques: Aspects Actuels, 2nd ed. Bucuresti, EdituraTehnica, 2000.
 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.
 K. Judd, "Nonlinear state estimation in distinguishable states and the extended Kalman filter,” Physica D: Nonlinear Phenomena, vol.183, pp.273–281,2003.
 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.
 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.
 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.
 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.