Robust State Estimation Against Measurement and Network Parameter Errors

Errors in network parameters can cause serious bias in state estimation solution and make good measurements identified and discarded as bad data. This paper addresses this issue by developing a state estimator that remains robust against parameter errors. This is accomplished by modifying the formulation of the well-known least absolute value state estimator in order to identify and reject not only gross measurement errors, but also parameter errors in the network model. The resulting state estimate will not only be free from the impact of erroneous parameters, but will also reliably estimate and correct the erroneous parameters at the same time. The proposed approach can be formulated as a linear programming (LP) problem, and solved in a computational efficient manner by existing LP solvers. Simulation results show that it is effective under different types of parameter errors, gross measurement errors, and Gaussian noise.

[1]  O. Alsaç,et al.  Generalized state estimation , 1998 .

[2]  S. Mei,et al.  Robust State Estimator Based on Maximum Exponential Absolute Value , 2017, IEEE Transactions on Smart Grid.

[3]  X. Rong Li,et al.  Joint Estimation of State and Parameter With Synchrophasors—Part I: State Tracking , 2011, IEEE Transactions on Power Systems.

[4]  Hansheng Wang,et al.  Robust Regression Shrinkage and Consistent Variable Selection Through the LAD-Lasso , 2007 .

[5]  A. Abur,et al.  Strategic Placement of Phasor Measurements for Parameter Error Identification , 2013, IEEE Transactions on Power Systems.

[6]  Emmanuel J. Candès,et al.  Highly Robust Error Correction byConvex Programming , 2006, IEEE Transactions on Information Theory.

[7]  Sermsak Uatrongjit Robust state estimation of power systems based on equivalent measurement technique , 2018 .

[8]  M R M Castillo,et al.  Offline Detection, Identification, and Correction of Branch Parameter Errors Based on Several Measurement Snapshots , 2011, IEEE Transactions on Power Systems.

[9]  Shengwei Mei,et al.  A Robust WLAV State Estimation Using Optimal Transformations , 2015, IEEE Transactions on Power Systems.

[10]  A. Abur,et al.  Identification of network parameter errors , 2006, IEEE Transactions on Power Systems.

[11]  Lamine Mili,et al.  Robust state estimation based on projection statistics , 1996 .

[12]  Fred C. Schweppe,et al.  Bad Data Suppression in Power System Static State Estimation , 1971 .

[13]  X. R. Li,et al.  Joint Estimation of State and Parameter With Synchrophasors—Part II: Parameter Tracking , 2011, IEEE Transactions on Power Systems.

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

[15]  Mihai Anitescu,et al.  A Bayesian Approach for Parameter Estimation With Uncertainty for Dynamic Power Systems , 2016, IEEE Transactions on Power Systems.

[16]  Georgios B. Giannakis,et al.  Distributed Robust Power System State Estimation , 2012, IEEE Transactions on Power Systems.

[17]  M. Vidyasagar,et al.  Bad Data Rejection Properties of Weughted Least Absolute Value Techniques Applied to Static State Estimation , 1982, IEEE Transactions on Power Apparatus and Systems.

[18]  Olcay Arslan,et al.  Weighted LAD-LASSO method for robust parameter estimation and variable selection in regression , 2012, Comput. Stat. Data Anal..

[19]  Peter J. Rousseeuw,et al.  Robust Regression and Outlier Detection , 2005, Wiley Series in Probability and Statistics.

[20]  Ali Abur,et al.  A robust WLAV state estimator using transformations , 1992 .

[21]  Ali Abur,et al.  A New Framework for Detection and Identification of Network Parameter Errors , 2018, IEEE Transactions on Smart Grid.

[22]  Felix F. Wu,et al.  Estimation of parameter errors from measurement residuals in state estimation (power systems) , 1992 .

[23]  Emmanuel J. Candès,et al.  Decoding by linear programming , 2005, IEEE Transactions on Information Theory.

[24]  Yang Weng,et al.  Robust Data-Driven State Estimation for Smart Grid , 2017, IEEE Transactions on Smart Grid.

[25]  Ali Abur,et al.  LAV Based Robust State Estimation for Systems Measured by PMUs , 2014, IEEE Transactions on Smart Grid.

[26]  M. R. Irving,et al.  Power System State Estimation Using Linear Programming , 1978 .

[27]  Fred C. Schweppe,et al.  Power System Static-State Estimation, Part III: Implementation , 1970 .

[28]  Shufeng Dong,et al.  Robust State Estimator Based on Maximum Normal Measurement Rate , 2011, IEEE Transactions on Power Systems.

[29]  T. Van Cutsem,et al.  Real-time processing of transformer tap positions , 1987, Canadian Electrical Engineering Journal.