Online Thevenin Equivalent Parameter Identification Method of Large Power Grids Using LU Factorization

Real-time tracking and identification of Thevenin equivalent parameters is crucial for voltage stability online monitoring of large power grids. An online parameter identification method based on wide-area measurements and nodal analysis is proposed in this paper. The node-voltage equation is utilized directly, and the open-circuit voltage is calculated accurately as the Thevenin equivalent voltage of load buses. Moreover, the equivalent parameters can be identified precisely under the generator reactive power over-limit condition. To avoid repetitive Gaussian elimination of the high-dimensional linear system, lower upper factorization and optimized substitution are used to accelerate the open-circuit voltage solution process. The simulation results of multiple test systems demonstrate the accuracy and rapidity of the proposed method.

[1]  J.E. Brittain Thevenin's theorem , 1990, IEEE Spectrum.

[2]  M. Begovic,et al.  Use of local measurements to estimate voltage-stability margin , 1997, Proceedings of the 20th International Conference on Power Industry Computer Applications.

[3]  Giuseppe Fusco,et al.  Constrained least squares methods for parameter tracking of power system steady-state equivalent circuits , 2000 .

[4]  Miroslav Begovic,et al.  Voltage Stability Protection and Control Using a Wide Area Network of Phasor Measurements , 2002, IEEE Power Engineering Review.

[5]  Liu Zhuo RESEARCH ON PARAMETERS DRIFT PROBLEM IN TRACKING THEVENIN EQUIVALENT , 2005 .

[6]  F. Gubina,et al.  Local voltage-stability index using tellegen's Theorem , 2007, 2007 IEEE Power Engineering Society General Meeting.

[7]  S. Corsi,et al.  A Real-Time Voltage Instability Identification Algorithm Based on Local Phasor Measurements , 2008, IEEE Transactions on Power Systems.

[8]  Yang Wang,et al.  A new node voltage stability index based on local voltage phasors , 2009 .

[9]  Sandro Corsi Wide area voltage protection , 2010 .

[10]  Tongwen Chen,et al.  Investigation on the thevenin equivalent parameters for online estimation of maximum power transfer limits , 2010 .

[11]  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.

[12]  Wilsun Xu,et al.  Voltage stability monitoring based on the concept of coupled single-port circuit , 2012, 2012 IEEE Power and Energy Society General Meeting.

[13]  Wilsun Xu,et al.  A Network Decoupling Transform for Phasor Data Based Voltage Stability Analysis and Monitoring , 2012, IEEE Transactions on Smart Grid.

[14]  D. J. Morrow,et al.  Online Tracking of Thévenin Equivalent Parameters Using PMU Measurements , 2012, IEEE Transactions on Power Systems.

[15]  Davide Fabozzi,et al.  Dynamic Simulation of Large-Scale Power Systems Using a Parallel Schur-Complement-Based Decomposition Method , 2014, IEEE Transactions on Parallel and Distributed Systems.

[16]  Chia-Chi Chu,et al.  Wide-Area Measurement-Based Voltage Stability Indicators by Modified Coupled Single-Port Models , 2014, IEEE Transactions on Power Systems.

[17]  Yunfei Wang,et al.  Identification of critical components for voltage stability assessment using channel components transform , 2014 .

[18]  D. John Morrow,et al.  Online Thévenin Equivalent Determination Considering System Side Changes and Measurement Errors , 2015, IEEE Transactions on Power Systems.

[19]  Chia-Chi Chu,et al.  Long-Term Voltage Instability Detections of Multiple Fixed-Speed Induction Generators in Distribution Networks Using Synchrophasors , 2015, IEEE Transactions on Smart Grid.

[20]  Hongbin Sun,et al.  PMU Uncertainty Quantification in Voltage Stability Analysis , 2015, IEEE Transactions on Power Systems.

[21]  Heng-Yi Su,et al.  Estimating the Voltage Stability Margin Using PMU Measurements , 2016, IEEE Transactions on Power Systems.

[22]  Jacob Østergaard,et al.  Super-Positioning of Voltage Sources for Fast Assessment of Wide-Area Thévenin Equivalents , 2017, IEEE Trans. Smart Grid.

[23]  Gexiang Zhang,et al.  Robust Voltage Instability Predictor , 2017, IEEE Transactions on Power Systems.

[24]  Hossein Kazemi Karegar,et al.  Modified Thevenin-based voltage instability indicator and load shedding approach for MCF connected network , 2017 .

[25]  Bai Cui,et al.  Voltage stability assessment based on improved coupled single-port method , 2017 .

[26]  Jacob Østergaard,et al.  Super-Positioning of Voltage Sources for Fast Assessment of Wide-Area Thévenin Equivalents , 2017, IEEE Transactions on Smart Grid.

[27]  Kai Sun,et al.  A Novel Generation Rescheduling Algorithm to Improve Power System Reliability With High Renewable Energy Penetration , 2018, IEEE Transactions on Power Systems.

[28]  Venkataramana Ajjarapu,et al.  Sensitivity based Thevenin Index with Systematic Inclusion of Reactive Power Limits , 2018, 2018 IEEE Power & Energy Society General Meeting (PESGM).

[29]  Anthony Faris,et al.  An Optimal Thevenin Equivalent Estimation Method and its Application to the Voltage Stability Analysis of a Wind Hub , 2018, 2018 IEEE Power & Energy Society General Meeting (PESGM).

[30]  Heng-Yi Su,et al.  Robust Thevenin Equivalent Parameter Estimation for Voltage Stability Assessment , 2018, IEEE Transactions on Power Systems.

[31]  D. Lay Matrix Operations , 2018, Mathematics for Enzyme Reaction Kinetics and Reactor Performance.