Mitigating the Risk of Voltage Collapse Using Statistical Measures From PMU Data

With the continued deployment of synchronized phasor measurement units (PMUs), high sample rate data are rapidly increasing the real time observability of power systems. Prior research has shown that the statistics of these data can provide useful information regarding network stability, but it is not yet known how this statistical information can be actionably used to improve power system stability. To address this issue, this paper presents a method that gauges and improves the voltage stability of a system using the statistics present in PMU data streams. Leveraging an analytical solver to determine a range of “critical” bus voltage variances, the presented methods monitor raw statistical data in an observable load pocket to determine when control actions are needed to mitigate the risk of voltage collapse. A simple reactive power controller is then implemented, which acts dynamically to maintain an acceptable voltage stability margin within the system. Time domain simulations on 3-bus and 39-bus test cases demonstrate that the resulting statistical controller can outperform more conventional feedback control systems by maintaining voltage stability margins while loads simultaneously increase and fluctuate.

[1]  S. Swain Handbook of Stochastic Methods for Physics, Chemistry and the Natural Sciences , 1984 .

[2]  Venkataramana Ajjarapu,et al.  The continuation power flow: a tool for steady state voltage stability analysis , 1991 .

[3]  P. Kundur,et al.  Definition and classification of power system stability IEEE/CIGRE joint task force on stability terms and definitions , 2004, IEEE Transactions on Power Systems.

[4]  M. Subramanian,et al.  Application of Holomorphic Embedding to the Power-Flow Problem , 2014 .

[5]  S. Carpenter,et al.  Early-warning signals for critical transitions , 2009, Nature.

[6]  A. Trias,et al.  The Holomorphic Embedding Load Flow method , 2012, 2012 IEEE Power and Energy Society General Meeting.

[7]  G. Oehlert A note on the delta method , 1992 .

[8]  Fernando L. Alvarado,et al.  Sensitivity of the loading margin to voltage collapse with respect to arbitrary parameters , 1997 .

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

[10]  P ? ? ? ? ? ? ? % ? ? ? ? , 1991 .

[11]  Taras I. Lakoba,et al.  Understanding Early Indicators of Critical Transitions in Power Systems From Autocorrelation Functions , 2013, IEEE Transactions on Circuits and Systems I: Regular Papers.

[12]  Dmitry Podolsky,et al.  Random load fluctuations and collapse probability of a power system operating near codimension 1 saddle-node bifurcation , 2012, 2013 IEEE Power & Energy Society General Meeting.

[13]  Claudio A. Canizares,et al.  Multiparameter bifurcation analysis of the south Brazilian power system , 2003 .

[14]  Zhijian Liu,et al.  Toward PMU-based robust automatic voltage control (AVC) and automatic flow control (AFC) , 2010, IEEE PES General Meeting.

[15]  C. Wissel A universal law of the characteristic return time near thresholds , 1984, Oecologia.

[16]  S. Imai,et al.  The 1987 Tokyo Blackout , 2006, 2006 IEEE PES Power Systems Conference and Exposition.

[17]  Carson W. Taylor,et al.  Definition and Classification of Power System Stability , 2004 .

[18]  Christopher M. Danforth,et al.  Predicting Critical Transitions From Time Series Synchrophasor Data , 2012, IEEE Transactions on Smart Grid.

[19]  Benjamin A Carreras,et al.  Complex systems analysis of series of blackouts: cascading failure, critical points, and self-organization. , 2007, Chaos.

[20]  M. Scheffer,et al.  Robustness of variance and autocorrelation as indicators of critical slowing down. , 2012, Ecology.

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

[22]  C. W. Gardiner,et al.  Handbook of stochastic methods - for physics, chemistry and the natural sciences, Second Edition , 1986, Springer series in synergetics.

[23]  J. Stoyanov A Guide to First‐passage Processes , 2003 .

[24]  Samuel Chapman Chevalier Using real time statistical data to improve long term voltage stability in stochastic power systems , 2016 .

[25]  Yang Feng,et al.  The Holomorphic Embedding Method Applied to the Power-Flow Problem , 2016, IEEE Transactions on Power Systems.