Bootstrap-based hypothesis test for detecting sustained oscillations

Sustained oscillations are one of major stability concerns of a power system operator. In order to take effective remedial reactions, it is preferred to detect sustained oscillations at their early stage. Previously, self-coherence spectra were used to detect sustained oscillations using phasor measurement unit (PMU) data. This paper proposes a hypothesis test using a bootstrap method to set up a threshold on the self-coherence spectra for detecting oscillations. Simulation data are used to evaluate the performance of this method. Case studies show that the proposed method can select a threshold with a predetermined false positive rate.

[1]  Joe H. Chow,et al.  A toolbox for power system dynamics and control engineering education and research , 1992 .

[2]  Vaithianathan Mani Venkatasubramanian,et al.  Oscillation monitoring from ambient PMU measurements by Frequency Domain Decomposition , 2008, 2008 IEEE International Symposium on Circuits and Systems.

[3]  David Hinkley,et al.  Bootstrap Methods: Another Look at the Jackknife , 2008 .

[4]  B. C. Papadias,et al.  Analysis of forced oscillations in a multimachine power system , 1991 .

[5]  Abdelhak M. Zoubir,et al.  Bootstrap techniques for signal processing , 2004 .

[6]  Ning Zhou,et al.  A coherence method for detecting and analyzing oscillations , 2013, 2013 IEEE Power & Energy Society General Meeting.

[7]  R. Tibshirani,et al.  An introduction to the bootstrap , 1993 .

[8]  Sangit Chatterjee Bootstrapping ARMA Models: Some Simulations , 1986, IEEE Transactions on Systems, Man, and Cybernetics.

[9]  John W. Pierre,et al.  Bootstrap-based confidence interval estimates for electromechanical modes from multiple output analysis of measured ambient data , 2005 .

[10]  Petre Stoica,et al.  Introduction to spectral analysis , 1997 .

[11]  C. W. Taylor,et al.  Model validation for the August 10, 1996 WSCC system outage , 1999 .

[12]  A. Bose Edgeworth correction by bootstrap in autoregressions , 1988 .

[13]  B. Efron Bootstrap Methods: Another Look at the Jackknife , 1979 .

[14]  Anthony C. Davison,et al.  Bootstrap Methods and Their Application , 1998 .

[15]  M. A. Magdy,et al.  Frequency domain analysis of power system forced oscillations , 1990 .

[16]  Graham Rogers,et al.  Power System Oscillations , 1999 .

[17]  Wei Hu,et al.  An energy-based method for location of power system oscillation source , 2013, IEEE Transactions on Power Systems.

[18]  John W. Pierre,et al.  Initial results in the detection and estimation of forced oscillations in power systems , 2013, 2013 North American Power Symposium (NAPS).

[19]  Ning Zhou,et al.  Initial results in power system identification from injected probing signals using a subspace method , 2006, IEEE Transactions on Power Systems.

[20]  Zhao Yang Dong,et al.  Application of Phasor Measurement Unit on Locating Disturbance Source for Low-Frequency Oscillation , 2010, IEEE Transactions on Smart Grid.