Spatiotemporal Big Data Analysis for Smart Grids Based on Random Matrix Theory

[1]  Benjamin Sovacool,et al.  Electricity market design for the prosumer era , 2016, Nature Energy.

[2]  A. Guionnet,et al.  An Introduction to Random Matrices , 2009 .

[3]  M. A. Abido,et al.  A Fully Adaptive PMU-Based Fault Location Algorithm for Series-Compensated Lines , 2014, IEEE Transactions on Power Systems.

[4]  D. Voiculescu.  Limit laws for Random matrices and free products , 1991 .

[5]  Winston A Hide,et al.  Big data: The future of biocuration , 2008, Nature.

[6]  Olivier Ledoit,et al.  Some hypothesis tests for the covariance matrix when the dimension is large compared to the sample size , 2002 .

[7]  Hamid Shaker,et al.  A Data-Driven Approach for Estimating the Power Generation of Invisible Solar Sites , 2016, IEEE Transactions on Smart Grid.

[8]  Song-xi Chen,et al.  A two-sample test for high-dimensional data with applications to gene-set testing , 2010, 1002.4547.

[9]  C. Lynch.  Big data: How do your data grow? , 2008, Nature.

[10]  T. Tao.  Outliers in the spectrum of iid matrices with bounded rank perturbations , 2010 .

[11]  J. Bouchaud,et al.  RANDOM MATRIX THEORY AND FINANCIAL CORRELATIONS , 2000 .

[12]  D. Lee.  Voltage Stability Assessment Using Equivalent Nodal Analysis , 2016, IEEE Transactions on Power Systems.

[13]  Z. Bai,et al.  Corrections to LRT on large-dimensional covariance matrix by RMT , 2009, 0902.0552.

[14]  Robert C. Qiu,et al.  Massive MIMO as a Big Data System: Random Matrix Models and Testbed , 2015, IEEE Access.

[15]  Qian Ai,et al.  A Big Data Architecture Design for Smart Grids Based on Random Matrix Theory , 2015, IEEE Transactions on Smart Grid.

[16]  Friedrich Götze,et al.  Rate of convergence to the semi-circular law , 2003 .

[17]  Martin Reisslein,et al.  Requirements, Design Challenges, and Review of Routing and MAC Protocols for CR-Based Smart Grid Systems , 2017, IEEE Communications Magazine.

[18]  A.G. Phadke,et al.  The Wide World of Wide-area Measurement , 2008, IEEE Power and Energy Magazine.

[19]  V. L. GIRKO.  Extended proof of the Statement: Convergence rate of the expected spectral functions of symmetric random matrices Ξ n is equal to O (n—1/2) and the method of critical steepest descent , 2002 .

[20]  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.

[21]  P. A. Mello,et al.  Random matrix physics: Spectrum and strength fluctuations , 1981 .

[22]  M.A. El-Sharkawi,et al.  Support vector machines for transient stability analysis of large-scale power systems , 2004, IEEE Transactions on Power Systems.

[23]  Ning Lu,et al.  Guest Editorial Big Data Analytics for Grid Modernization , 2016, IEEE Trans. Smart Grid.

[24]  Vahid Madani,et al.  Wide-Area Monitoring, Protection, and Control of Future Electric Power Networks , 2011, Proceedings of the IEEE.

[25]  Bo Wang,et al.  Power System Transient Stability Assessment Based on Big Data and the Core Vector Machine , 2016, IEEE Transactions on Smart Grid.

[26]  Santiago Grijalva,et al.  Prosumer-based smart grid architecture enables a flat, sustainable electricity industry , 2011, ISGT 2011.

[27]  David M. Laverty,et al.  Real-Time Multiple Event Detection and Classification Using Moving Window PCA , 2016, IEEE Transactions on Smart Grid.

[28]  Ofer Zeitouni,et al.  The single ring theorem , 2009, 0909.2214.

[29]  Qian Ai,et al.  Designing for Situation Awareness of Future Power Grids: An Indicator System Based on Linear Eigenvalue Statistics of Large Random Matrices , 2015, IEEE Access.

[30]  Eugene P. Wigner,et al.  Lower Limit for the Energy Derivative of the Scattering Phase Shift , 1955 .

[31]  Bo Wang,et al.  PMU-Based Fault Location Using Voltage Measurements in Large Transmission Networks , 2012, IEEE Transactions on Power Delivery.

[32]  Veda C. Storey,et al.  Business Intelligence and Analytics: From Big Data to Big Impact , 2012, MIS Q..

[33]  Mahesh Venugopal,et al.  A novel algorithm to determine fault location in a transmission line using PMU measurements , 2013, 2013 IEEE International Conference on Smart Instrumentation, Measurement and Applications (ICSIMA).

[34]  Zhidong Bai,et al.  A note on the convergence rate of the spectral distributions of large random matrices , 1997 .

[35]  Christopher L. DeMarco,et al.  SVD-Based Voltage Stability Assessment From Phasor Measurement Unit Data , 2016, IEEE Transactions on Power Systems.

[36]  Le Xie,et al.  Dimensionality Reduction of Synchrophasor Data for Early Event Detection: Linearized Analysis , 2014, IEEE Transactions on Power Systems.

[37]  Robert C. Qiu,et al.  Data Modeling with Large Random Matrices in a Cognitive Radio Network Testbed: Initial Experimental Demonstrations with 70 Nodes , 2014, ArXiv.

[38]  E. Wigner.  Random Matrices in Physics , 1967 .

[39]  Friedrich Götze,et al.  The rate of convergence for spectra of GUE and LUE matrix ensembles , 2005 .

[40]  He Xing,et al.  The research on coordinated operation and cluster management for multi-microgrids , 2012 .

[41]  Chenghong GU,et al.  Economic optimization of smart distribution networks considering real-time pricing , 2014 .

[42]  Mariya Shcherbina,et al.  Central Limit Theorem for linear eigenvalue statistics of the Wigner and sample covariance random matrices , 2011, 1101.3249.

[43]  Taras I. Lakoba,et al.  Identifying Useful Statistical Indicators of Proximity to Instability in Stochastic Power Systems , 2014, IEEE Transactions on Power Systems.

[44]  Mario Kieburg,et al.  Weak commutation relations and eigenvalue statistics for products of rectangular random matrices. , 2013, Physical review. E, Statistical, nonlinear, and soft matter physics.

[45]  Rudolf Wegmann,et al.  The asymptotic eigenvalue-distribution for a certain class of random matrices , 1976 .

[46]  Z. Bai,et al.  Convergence Rate of Expected Spectral Distributions of Large Random Matrices. Part I. Wigner Matrices , 1993 .

[47]  E. Wigner.  On the Distribution of the Roots of Certain Symmetric Matrices , 1958 .

[48]  Xiaochen Zhang,et al.  A Data-Driven Approach for Detection and Estimation of Residential PV Installations , 2016, IEEE Transactions on Smart Grid.

[49]  Eduard Muljadi,et al.  Spatial-Temporal Synchrophasor Data Characterization and Analytics in Smart Grid Fault Detection, Identification, and Impact Causal Analysis , 2016, IEEE Transactions on Smart Grid.

[50]  Jianhui Wang,et al.  Data-Driven Power Outage Detection by Social Sensors , 2016, IEEE Transactions on Smart Grid.

[51]  E. Wigner.  The Problem of Measurement , 1963 .

[52]  Florent Benaych-Georges,et al.  Outliers in the Single Ring Theorem , 2013, 1308.3064.

[53]  Le Xie,et al.  Distributed Online Monitoring of Quasi-Static Voltage Collapse in Multi-Area Power Systems , 2012, IEEE Transactions on Power Systems.

[54]  Jian-Feng Yao,et al.  Convergence Rates of Spectral Distributions of Large Sample Covariance Matrices , 2003, SIAM J. Matrix Anal. Appl..

[55]  Daniel S. Kirschen,et al.  Assessing the Impact of Insufficient Situation Awareness on Power System Operation , 2013, IEEE Transactions on Power Systems.