Efficient Location Identification of Multiple Line Outages With Limited PMUs in Smart Grids

The efficient location identification of multiple line outages is critical to not only cascading failure elimination but also repair cost reduction. Most of existing methods, however, fail to handle location identification well. This failure typically occurs because the methods cannot overcome two challenges: the very limited number of phasor measurement units (PMUs) and the high computational complexity. This paper presents an efficient algorithm inspired by the ambiguity group theory to identify the locations of line outages with limited PMUs. Using 14-, 57-, 118-, 300-, and 2383-bus systems, our experimental study demonstrates that the proposed technique successfully identifies the most likely multiple line outages while attaining a 500 × speedup when compared to the method of exhaustive search.

[1]  G. Strang.  Introduction to Linear Algebra , 1993 .

[2]  M. G. Lauby,et al.  An IEEE survey of US and Canadian overhead transmission outages at 230 kV and above , 1994 .

[3]  Pangan Ting,et al.  Efficient Identification Method for Power Line Outages in the Smart Power Grid , 2014, IEEE Transactions on Power Systems.

[4]  Raymond Reiter,et al.  A Theory of Diagnosis from First Principles , 1986, Artif. Intell..

[5]  Gene H. Golub,et al.  Singular value decomposition and least squares solutions , 1970, Milestones in Matrix Computation.

[6]  Joseph Euzebe Tate,et al.  Event detection and visualization based on phasor measurement units for improved situational awareness , 2008 .

[7]  D. Novosel,et al.  Dawn of the grid synchronization , 2008, IEEE Power and Energy Magazine.

[8]  Yim-Shu Lee,et al.  Efficient multifrequency analysis of fault diagnosis in analog circuits based on large change sensitivity computation , 1996, Proceedings of the Fifth Asian Test Symposium (ATS'96).

[9]  Miao He,et al.  A Dependency Graph Approach for Fault Detection and Localization Towards Secure Smart Grid , 2011, IEEE Transactions on Smart Grid.

[10]  I. Kamwa,et al.  Causes of the 2003 major grid blackouts in North America and Europe, and recommended means to improve system dynamic performance , 2005, IEEE Transactions on Power Systems.

[11]  Stefano Manetti,et al.  On the application of symbolic techniques to the multiple fault location in low testability analog circuits , 1998 .

[12]  T.J. Overbye,et al.  Line Outage Detection Using Phasor Angle Measurements , 2008, IEEE Transactions on Power Systems.

[13]  Xi Fang,et al.  3. Full Four-channel 6.3-gb/s 60-ghz Cmos Transceiver with Low-power Analog and Digital Baseband Circuitry 7. Smart Grid — the New and Improved Power Grid: a Survey , 2022 .

[14]  Thomas J. Overbye,et al.  Double line outage detection using phasor angle measurements , 2009, 2009 IEEE Power & Energy Society General Meeting.

[15]  Ian Dobson,et al.  Using Transmission Line Outage Data to Estimate Cascading Failure Propagation in an Electric Power System , 2008, IEEE Transactions on Circuits and Systems II: Express Briefs.

[16]  J. Aguado,et al.  Cumulant-based probabilistic optimal power flow (P-OPF) with Gaussian and gamma distributions , 2005, IEEE Transactions on Power Systems.

[17]  T. J. Overbye,et al.  Multiple Element Contingency Screening , 2011, IEEE Transactions on Power Systems.

[18]  Mladen Kezunovic,et al.  Smart Fault Location for Smart Grids , 2011, IEEE Transactions on Smart Grid.

[19]  Stefano Manetti,et al.  Finding ambiguity groups in low testability analog circuits , 2000 .

[20]  J. Meijerink,et al.  An iterative solution method for linear systems of which the coefficient matrix is a symmetric -matrix , 1977 .

[21]  Philip G. Hill,et al.  Power generation , 1927, Journal of the A.I.E.E..

[22]  James S. Thorp,et al.  Three-phase linear state estimation using Phasor Measurements , 2013, 2013 IEEE Power & Energy Society General Meeting.

[23]  Stefano Manetti,et al.  A singular-value decomposition approach for ambiguity group determination in analog circuits , 2003 .

[24]  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.

[25]  S. C. Srivastava,et al.  A Simple Scheme for Wide Area Detection of Impending Voltage Instability , 2012, IEEE Transactions on Smart Grid.

[26]  Hao Zhu,et al.  Sparse Overcomplete Representations for Efficient Identification of Power Line Outages , 2012, IEEE Transactions on Power Systems.

[27]  M. Glavic,et al.  Wide-Area Detection of Voltage Instability From Synchronized Phasor Measurements. Part I: Principle , 2009, IEEE Transactions on Power Systems.

[28]  Alston S. Householder,et al.  The Theory of Matrices in Numerical Analysis , 1964 .