Fusion of Multirate Measurements for Nonlinear Dynamic State Estimation of the Power Systems

With the increasing availability of sensors, power system dynamic state estimation (PSDSE) is going to play a critical role in the reliable and efficient operation of power systems. The real-time measurements in today’s power grid are obtained through various types of sensors having different sampling rates, e.g., the traditional SCADA systems with low sampling rates (generally 0.5–2 samples per second), and different groups of phasor measurement units having high sampling rates (usually 30–60 samples per second). We propose a multi-rate multi-sensor data fusion-based PSDSE framework to utilize the measurements coming from sensors with two different sampling rates. The continuous time-domain nonlinear dynamical and measurement equations are discretized at appropriate sampling periods to obtain two discrete models. Two separate estimators are developed using these models. State information of the intermediate time steps of the estimation having coarser sampling period is evaluated using model-based prediction. These two estimations are optimally combined or fused using Bar–Shalom–Campo formula. The proposed algorithm tracks the dynamic states successfully during transient events such as faults. The method is demonstrated by using the standard IEEE-9, 39, 57, and 118 bus systems. The fusion-based state estimator is shown to perform better than the individual state estimators.

[1]  Andre Albuquerque,et al.  Multistage strategies to incorporate phasor measurements into power system state estimation , 2013, 2013 IREP Symposium Bulk Power System Dynamics and Control - IX Optimization, Security and Control of the Emerging Power Grid.

[2]  H. Chiang Direct Methods for Stability Analysis of Electric Power Systems: Theoretical Foundation, BCU Methodologies, and Applications , 2010 .

[3]  Shuai Lu,et al.  Capturing real-time power system dynamics: Opportunities and challenges , 2015, 2015 IEEE Power & Energy Society General Meeting.

[4]  Peng Yang,et al.  Power System State Estimation Using PMUs With Imperfect Synchronization , 2013, IEEE Transactions on Power Systems.

[5]  Yaakov Bar-Shalom,et al.  The Effect of the Common Process Noise on the Two-Sensor Fused-Track Covariance , 1986, IEEE Transactions on Aerospace and Electronic Systems.

[6]  Zhenyu Huang,et al.  Distributed dynamic state estimation with extended Kalman filter , 2011, 2011 North American Power Symposium.

[7]  Zhenyu Huang,et al.  Application of extended Kalman filter techniques for dynamic model parameter calibration , 2009, 2009 IEEE Power & Energy Society General Meeting.

[8]  Bikash C. Pal,et al.  Decentralized Dynamic State Estimation in Power Systems Using Unscented Transformation , 2014, IEEE Transactions on Power Systems.

[9]  D. Simon Optimal State Estimation: Kalman, H Infinity, and Nonlinear Approaches , 2006 .

[10]  R D Zimmerman,et al.  MATPOWER: Steady-State Operations, Planning, and Analysis Tools for Power Systems Research and Education , 2011, IEEE Transactions on Power Systems.

[11]  Zhenyu Huang,et al.  Exploring adaptive interpolation to mitigate non-linear impact on estimating dynamic states , 2015, 2015 IEEE Power & Energy Society General Meeting.

[12]  Kaushik Das,et al.  Real-time hybrid state estimation incorporating SCADA and PMU measurements , 2012, 2012 3rd IEEE PES Innovative Smart Grid Technologies Europe (ISGT Europe).

[13]  Arun G. Phadke,et al.  Synchronized Phasor Measurements and Their Applications , 2008 .

[14]  Lingling Fan,et al.  Extended Kalman filtering based real-time dynamic state and parameter estimation using PMU data , 2013 .

[15]  Kai Sun,et al.  Optimal PMU placement for power system dynamic state estimation by using empirical observability Gramian , 2015, 2015 IEEE Power & Energy Society General Meeting.

[16]  H. B. Mitchell,et al.  Multi-Sensor Data Fusion: An Introduction , 2007 .

[17]  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).

[18]  Greg Welch,et al.  Dynamic State Estimation of a Synchronous Machine Using PMU Data: A Comparative Study , 2015, IEEE Transactions on Smart Grid.

[19]  Yuanqing Xia,et al.  State estimation for asynchronous multirate multisensor dynamic systems with missing measurements , 2010 .

[20]  I. Kamwa,et al.  Dynamic State Estimation in Power System by Applying the Extended Kalman Filter With Unknown Inputs to Phasor Measurements , 2011, IEEE Transactions on Power Systems.

[21]  Greg Welch,et al.  Reduced Measurement-space Dynamic State Estimation (ReMeDySE) for power systems , 2011, 2011 IEEE Trondheim PowerTech.

[22]  Shaobu Wang,et al.  An Alternative Method for Power System Dynamic State Estimation Based on Unscented Transform , 2012, IEEE Transactions on Power Systems.

[23]  Andre Albuquerque,et al.  An estimation fusion method for including phasor measurements into power system real-time modeling , 2013, IEEE Transactions on Power Systems.

[24]  Lingling Fan,et al.  Identification of synchronous generator model with frequency control using unscented Kalman filter , 2015 .

[25]  Murali Tummala,et al.  Multirate, multiresolution, recursive Kalman filter , 2000, Signal Process..

[26]  Nikolaos M. Manousakis,et al.  A two-stage state estimator for power systems with PMU and SCADA measurements , 2013, 2013 IEEE Grenoble Conference.

[27]  George Loukas,et al.  Cyber-Physical Attacks: A Growing Invisible Threat , 2015 .

[28]  Malini Ghosal,et al.  Fusion of PMU and SCADA Data for dynamic state estimation of power system , 2015, 2015 North American Power Symposium (NAPS).

[29]  Innocent Kamwa,et al.  Online State Estimation of a Synchronous Generator Using Unscented Kalman Filter From Phasor Measurements Units , 2011, IEEE Transactions on Energy Conversion.

[30]  Cem Bila POWER SYSTEM DYNAMIC STATE ESTIMATION and LOAD MODELING , 2013 .