Kalman Filters for Dynamic and Secure Smart Grid State Estimation

Combining dynamic state estimation methods such as Kalman filters with real-time data generated/collected by digital meters such as phasor measurement units (PMU) can lead to advanced techniques for improving the quality of monitoring and controllability in smart grids. Classic Kalman filters achieve optimal performance with ideal system models, which are usually hard to obtain in practice with unexpected disturbances, device failures, and malicious data attacks. In this work, we introduce and compare a novel method, viz. adaptive Kalman Filter with inflatable noise variances, against a variety of classic Kalman filters. Extensive simulation studies demonstrate the powerful ability of our proposed algorithm under suboptimal conditions such as wrong system modeling, sudden disturbance and bad data injection.

[1]  M. Kurzyn Real-Time State Estimation for Large-Scale Power Systems , 1983, IEEE Transactions on Power Apparatus and Systems.

[2]  Jeffrey L. Anderson An Ensemble Adjustment Kalman Filter for Data Assimilation , 2001 .

[3]  Yang Liu,et al.  A survey on bad data injection attack in smart grid , 2013, 2013 IEEE PES Asia-Pacific Power and Energy Engineering Conference (APPEEC).

[4]  G. Brunello,et al.  An overview of the IEEE Standard C37.118.2 — Synchrophasor Data Transfer for Power Systems , 2014 .

[5]  J. L. Roux An Introduction to the Kalman Filter , 2003 .

[6]  Ali Abur,et al.  On the use of PMUs in power system state estimation , 2011 .

[7]  A. Abur,et al.  Bad Data Identification When Using Phasor Measurements , 2007, 2007 IEEE Lausanne Power Tech.

[8]  Jinghe Zhang,et al.  A Two-stage Kalman Filtering Approach for Robust and Real-time Power Systems State Tracking , 2013 .

[9]  F. Lewis Optimal Estimation: With an Introduction to Stochastic Control Theory , 1986 .

[10]  Alicia Karspeck,et al.  Comparison of Filtering Methods for the Modeling and Retrospective Forecasting of Influenza Epidemics , 2014, PLoS Comput. Biol..

[11]  T. Başar,et al.  A New Approach to Linear Filtering and Prediction Problems , 2001 .

[12]  J. Thorp,et al.  A New Measurement Technique for Tracking Voltage Phasors, Local System Frequency, and Rate of Change of Frequency , 1983, IEEE Transactions on Power Apparatus and Systems.

[13]  David Livings Aspects of the Ensemble Kalman Filter , 2005 .

[14]  Jun S. Liu,et al.  Sequential Monte Carlo methods for dynamic systems , 1997 .

[15]  A. G. Expósito,et al.  Power system state estimation : theory and implementation , 2004 .

[16]  Alicia Karspeck,et al.  Real-Time Influenza Forecasts during the 2012–2013 Season , 2013, Nature Communications.

[17]  Agus Budiyono,et al.  Principles of GNSS, Inertial, and Multi-sensor Integrated Navigation Systems , 2012 .

[18]  K. Schneider,et al.  Feasibility studies of applying Kalman Filter techniques to power system dynamic state estimation , 2007, 2007 International Power Engineering Conference (IPEC 2007).

[19]  G. Evensen Sequential data assimilation with a nonlinear quasi‐geostrophic model using Monte Carlo methods to forecast error statistics , 1994 .

[20]  Greg Welch,et al.  Observability and estimation uncertainty analysis for PMU placement alternatives , 2010, North American Power Symposium 2010.

[21]  J. Shaman,et al.  Forecasting seasonal outbreaks of influenza , 2012, Proceedings of the National Academy of Sciences.