International Journal of Advanced Engineering Application

ISSN: 3048-6807

State Estimation in Power Systems Using Kalman Filtering Techniques

Author(s):Rohit Kumar1, Divya Singh2, Nikhil Chauhan3, Pradeep Tiwari4, Kritika Sharma4

Affiliation: 1,2,3,4,5 Department of Electrical Engineering, Government Engineering College, Jabalpur, Madhya Pradesh, India

Page No: 6-10

Volume issue & Publishing Year: Volume 2 Issue 8 , Aug-2025

Journal: International Journal of Advanced Engineering Application (IJAEA)

ISSN NO: 3048-6807

DOI: https://zenodo.org/records/17623948

Download PDF

Article Indexing:

Abstract:
State estimation is a vital function in modern power system operation and control, providing the system operator with accurate, real-time information about the network's operating condition. Conventional state estimation methods, such as Weighted Least Squares (WLS), often face challenges under dynamic conditions and in the presence of measurement noise. This paper presents a detailed investigation into the application of Kalman Filtering (KF) techniques for state estimation in power systems. Both standard Kalman Filter (KF) and Extended Kalman Filter (EKF) approaches are discussed in terms of their performance, accuracy, and computational efficiency. Simulation results demonstrate that Kalman filtering techniques offer significant improvements in accuracy and robustness compared to conventional methods, particularly under dynamic load variations and noisy measurement environments

Keywords: State estimation, Power systems, Kalman filter, Extended Kalman filter, Dynamic estimation, Smart grid

Reference:

  • [1] A. Monticelli, “Electric power system state estimation,” Proceedings of the IEEE, vol. 88, no. 2, pp. 262–282, 2000.
  • [2] F. C. Schweppe, “Power system static-state estimation, Part I: Exact model,” IEEE Transactions on Power Apparatus and Systems, vol. PAS-89, no. 1, pp. 120–125, Jan. 1970.
  • [3] A. Abur and A. G. Expósito, Power System State Estimation: Theory and Implementation. New York: Marcel Dekker, 2004.
  • [4] L. Mili, M. Cheniae, and P. Rousseeuw, “Robust state estimation of electric power systems,” IEEE Transactions on Circuits and Systems I: Fundamental Theory and Applications, vol. 41, no. 5, pp. 349–358, May 1994.
  • [5] S. Chakrabarti and E. Kyriakides, “PMU measurement uncertainty considerations in WLS state estimation,” IEEE Transactions on Power Systems, vol. 24, no. 2, pp. 1062–1071, May 2009.
  • [6] K. D. Jones, L. Cheng, and J. S. Thorp, “Application of Kalman filtering for real-time state estimation in power system dynamics,” Electric Power Systems Research, vol. 93, pp. 9–17, Dec. 2012.
  • [7] Y. Weng, R. Negi, and M. D. Ilić, “Graphical model for state estimation in electric power systems,” IEEE Transactions on Smart Grid, vol. 6, no. 3, pp. 1158–1167, May 2015.
  • [8] M. Zhou, V. A. Centeno, J. S. Thorp, and A. G. Phadke, “An alternative for including phasor measurements in state estimators,” IEEE Transactions on Power Systems, vol. 21, no. 4, pp. 1930–1937, Nov. 2006.
  • [9] P. Kundur, Power System Stability and Control. New York: McGraw-Hill, 1994.
  • [10] J. Lavaei and S. H. Low, “Zero duality gap in optimal power flow problem,” IEEE Transactions on Power Systems, vol. 27, no. 1, pp. 92–107, Feb. 2012.
  • [11] G. Welch and G. Bishop, “An introduction to the Kalman filter,” University of North Carolina at Chapel Hill, Tech. Rep. TR 95-041, 2006.
  • [12] H. K. Khalil, Nonlinear Systems, 3rd ed. Upper Saddle River, NJ: Prentice Hall, 2002.