Real-time state estimation on micro-grids

This paper presents a new probabilistic approach of the real-time state estimation on the micro-grid. The grid is modeled as a factor graph which can characterize the linear correlations among the state variables. The factor functions are defined for both the circuit elements and the renewable energy generation. With the stochastic model, the linear state estimator conducts the Belief Propagation algorithm on the factor graph utilizing real-time measurements from the smart metering devices. The result of the statistical inference presents the optimal estimates of the system state. The new algorithm can work with sparse measurements by delivering the optimal statistical estimates rather than the solutions. In addition, the proposed graphical model can integrate new models for solar/wind correlation that will help with the integration study of renewable energy. Our state-of-art approach provides a robust foundation for the smart grid design and renewable integration applications.

[1]  Brendan J. Frey,et al.  Factor graphs and the sum-product algorithm , 2001, IEEE Trans. Inf. Theory.

[2]  Hadi Saadat,et al.  Power System Analysis , 1998 .

[3]  Chris A. Glasbey,et al.  A spatiotemporal auto‐regressive moving average model for solar radiation , 2008 .

[4]  W. Hubbi,et al.  Effects of the weighting matrix on power system state estimation , 1991 .

[5]  Marc G. Genton,et al.  Predictive spatio-temporal models for spatially sparse environmental data , 2005 .

[6]  Birgitte Bak-Jensen,et al.  ARIMA-Based Time Series Model of Stochastic Wind Power Generation , 2010, IEEE Transactions on Power Systems.

[7]  A. P. Sakis Meliopoulos,et al.  Distributed State Estimator Advances and Demonstration , 2008, Proceedings of the 41st Annual Hawaii International Conference on System Sciences (HICSS 2008).

[8]  Dorota Kurowicka,et al.  Integration of stochastic generation in power systems , 2006 .

[9]  Birgitte Bak-Jensen,et al.  Stochastic Optimization of Wind Turbine Power Factor Using Stochastic Model of Wind Power , 2010, IEEE Transactions on Sustainable Energy.

[10]  Johannes B. Huber,et al.  Multiple-bases belief-propagation decoding of high-density cyclic codes , 2009, IEEE Transactions on Communications.

[11]  Haibin Wang,et al.  A load modeling algorithm for distribution system state estimation , 2001, 2001 IEEE/PES Transmission and Distribution Conference and Exposition. Developing New Perspectives (Cat. No.01CH37294).

[12]  Mesut Baran,et al.  Distribution system state estimation using AMI data , 2009, 2009 IEEE/PES Power Systems Conference and Exposition.

[13]  J. Zakoian,et al.  Stationarity of Multivariate Markov-Switching ARMA Models , 2001 .

[14]  S. Kennedy Reliability evaluation of islanded microgrids with stochastic distributed generation , 2009, 2009 IEEE Power & Energy Society General Meeting.

[15]  G. Forney,et al.  Codes on graphs: normal realizations , 2000, 2000 IEEE International Symposium on Information Theory (Cat. No.00CH37060).

[16]  Li Ping,et al.  The Factor Graph Approach to Model-Based Signal Processing , 2007, Proceedings of the IEEE.

[17]  Panganamala Ramana Kumar,et al.  Extended message passing algorithm for inference in loopy Gaussian graphical models , 2004, Ad Hoc Networks.

[18]  Benjamin Van Roy,et al.  An analysis of belief propagation on the turbo decoding graph with Gaussian densities , 2001, IEEE Trans. Inf. Theory.

[19]  Hans-Martin Krolzig,et al.  Predicting Markov-Switching Vector Autoregressive Processes , 2000 .

[20]  E. Handschin,et al.  Static state estimation in electric power systems , 1974 .

[21]  Robert H. Lasseter Microgrids and Distributed Generation , 2007 .

[22]  S. Soliman,et al.  Static State Estimation , 2010 .

[23]  Pierre Ailliot,et al.  Markov-switching autoregressive models for wind time series , 2012, Environ. Model. Softw..

[24]  N.N. Schulz,et al.  A revised branch current-based distribution system state estimation algorithm and meter placement impact , 2004, IEEE Transactions on Power Systems.

[25]  A. Monticelli,et al.  Electric power system state estimation , 2000, Proceedings of the IEEE.

[26]  Alois Schlögl,et al.  A comparison of multivariate autoregressive estimators , 2006, Signal Process..

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

[28]  Bikash Pal,et al.  Statistical Representation of Distribution System Loads Using Gaussian Mixture Model , 2010, IEEE Transactions on Power Systems.