Uncertainty in real-time voltage stability assessment methods based on Thévenin equivalent due to PMU's accuracy

This article studies the influence of PMU's accuracy in voltage stability assessment, considering the specific case of Thévenin equivalent based methods that include wide-area information in its calculations. The objective was achieved by producing a set of synthesized PMU measurements from a time domain simulation and using the Monte Carlo method to reflect the accuracy for the PMUs. This is given by the maximum value for the Total Vector Error defined in the IEEE standard C37.118. Those measurements allowed to estimate the distribution parameters (mean and standard deviation) of the studied voltage stability indices and grid transformation coefficients which have applications in voltage stability assessment. The obtained distributions have a direct impact in the number of samples needed for estimating system parameters and compromise between time-scale and uncertainty in those estimations is shown.

[1]  Junqi Liu,et al.  Effects of PMU's uncertainty on voltage stability assessment in power systems , 2011, 2011 IEEE International Instrumentation and Measurement Technology Conference.

[2]  Jacob Østergaard,et al.  Suitability of voltage stability study methods for real-time assessment , 2013, IEEE PES ISGT Europe 2013.

[3]  Arne Hejde Nielsen,et al.  Assessment of the impact that individual voltage source has on a generator's stability , 2012, 2012 10th International Power & Energy Conference (IPEC).

[4]  Thierry Van Cutsem,et al.  A short survey of methods for voltage instability detection , 2011, 2011 IEEE Power and Energy Society General Meeting.

[5]  Tilman Weckesser,et al.  Impact of model detail of synchronous machines on real-time transient stability assessment , 2013, 2013 IREP Symposium Bulk Power System Dynamics and Control - IX Optimization, Security and Control of the Emerging Power Grid.

[6]  J. Ostergaard,et al.  Investigation of PMU Performance Under TVE criterion , 2010, 2010 5th International Conference on Critical Infrastructure (CRIS).

[7]  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.

[8]  Stefan Sommer,et al.  Real-time thevenin impedance computation , 2013, 2013 IEEE PES Innovative Smart Grid Technologies Conference (ISGT).

[9]  K. E. Martin.  Synchrophasors in the IEEE C37.118 and IEC 61850 , 2010, 2010 5th International Conference on Critical Infrastructure (CRIS).

[10]  N. Schulz,et al.  Synchrophasor-Based Real-Time Voltage Stability Index , 2006, 2006 IEEE PES Power Systems Conference and Exposition.

[11]  Gao Zonghe.  A Review on On-line Voltage Stability Monitoring Indices and Methods Based on Local Phasor Measurement , 2010 .

[12]  Peter W. Sauer,et al.  Power System Dynamics and Stability , 1997 .

[13]  Thierry Van Cutsem,et al.  Early prediction of transient voltage sags caused by rotor swings , 2014, 2014 IEEE PES General Meeting | Conference & Exposition.

[14]  Gabriele D'Antona,et al.  Effect of Phasor Measurement Unit on power State Estimation considering parameters uncertainty , 2012, 2012 IEEE International Workshop on Applied Measurements for Power Systems (AMPS) Proceedings.

[15]  Morten Lind,et al.  Addressing the security of a future sustainable power system: The Danish SOSPO project , 2012 .

[16]  A. H. Nielsen,et al.  Early prevention of instability - search for optimal grid nodes for applying countermeasures , 2012, 2012 11th International Conference on Environment and Electrical Engineering.

[17]  Junqi Liu,et al.  Impact of synchrophasor measurement uncertainty on detecting voltage stability margin in power systems , 2012, 2012 3rd IEEE PES Innovative Smart Grid Technologies Europe (ISGT Europe).

[18]  Tilman Weckesser,et al.  Investigation of the adaptability of transient stability assessment methods to real-time operation , 2012, 2012 3rd IEEE PES Innovative Smart Grid Technologies Europe (ISGT Europe).

[19]  T. Van Cutsem.  Voltage instability: phenomena, countermeasures, and analysis methods , 2000, Proceedings of the IEEE.

[20]  Hjörtur Johannsson,et al.  System security assessment in real-time using synchrophasor measurements , 2013, IEEE PES ISGT Europe 2013.

[21]  Nick T. Thomopoulos,et al.  Essentials of Monte Carlo Simulation: Statistical Methods for Building Simulation Models , 2012 .

[22]  Kenneth E. Martin.  Synchrophasor Standards Development - IEEE C37.118 & IEC 61850 , 2011, 2011 44th Hawaii International Conference on System Sciences.

[23]  M. Lynn.  Hawaii International Conference on System Sciences , 1996 .

[24]  Tilman Weckesser,et al.  Sensitivity based assessment of transient voltage sags caused by rotor swings , 2014, 2014 Power Systems Computation Conference.

[25]  Hjörtur Johannsson,et al.  An implementation and test platform for wide area stability assessment methods , 2013, IEEE PES ISGT Europe 2013.