A Fast and Accurate Calculation Method of Line Breaking Power Flow Based on Taylor Expansion

In order to quickly obtain the voltage value of each node after the power system line is disconnected, a fast and accurate calculation method of breaking voltage based on Taylor series expansion is proposed in this study, which can calculate the value of nodal voltage of the system in a short time. At first, a breaking parameter is introduced into the admittance of the disconnected line, and a nonlinear disconnection function is constructed about the breaking parameter. After the line is disconnected, the voltage of each node and the admittance matrix of each node are functions of the relevant parameters, and then, the Taylor series is used to expand. The voltage of each node of the system before breaking is considered as the initial value of the Taylor series, and the first, second, and third derivatives of the node voltage with respect to the parameter are considered as the correction term; the voltage of each node of the system is calculated after the line is disconnected. Finally, the simulation results of the IEEE 14-node system are used to verify the correctness of the proposed method.

[1]  Nan Duan,et al.  Smart Meters Enabling Voltage Monitoring and Control: The Last-Mile Voltage Stability Issue , 2022, IEEE Transactions on Industrial Informatics.

[2]  Shuaihu Li,et al.  DNN-Based Distributed Voltage Stability Online Monitoring Method for Large-Scale Power Grids , 2021, Frontiers in Energy Research.

[3]  Ali T. Alouani,et al.  Real time voltage stability prediction of smart grid areas using smart meters data and improved Thevenin estimates , 2020 .

[4]  A. L. Sangal,et al.  Tunicate Swarm Algorithm: A new bio-inspired based metaheuristic paradigm for global optimization , 2020, Eng. Appl. Artif. Intell..

[5]  Peter Palensky,et al.  An Overview on the Reliability of Modern Power Electronic Based Power Systems , 2020, IEEE Open Journal of Power Electronics.

[6]  Zhihao Yun,et al.  Online Thevenin Equivalent Parameter Identification Method of Large Power Grids Using LU Factorization , 2019, IEEE Transactions on Power Systems.

[7]  Amandeep Kaur,et al.  STOA: A bio-inspired based optimization algorithm for industrial engineering problems , 2019, Eng. Appl. Artif. Intell..

[8]  Canbing Li,et al.  A Fast Sensitivity-Based Preventive Control Selection Method for Online Voltage Stability Assessment , 2018, IEEE Transactions on Power Systems.

[9]  Qian Ai,et al.  Interactive Model for Energy Management of Clustered Microgrids , 2016, IEEE Transactions on Industry Applications.

[10]  Gang Zhou,et al.  The static security analysis in power system based on Spark Cloud Computing platform , 2015, 2015 IEEE Innovative Smart Grid Technologies - Asia (ISGT ASIA).

[11]  L. Wehenkel,et al.  Contingency Ranking With Respect to Overloads in Very Large Power Systems Taking Into Account Uncertainty, Preventive, and Corrective Actions , 2013, IEEE Transactions on Power Systems.

[12]  P. A. Kaplunovich,et al.  Fast selection of N−2 contingencies for online security assessment , 2013, 2013 IEEE Power & Energy Society General Meeting.

[13]  D. Ernst,et al.  Contingency Filtering Techniques for Preventive Security-Constrained Optimal Power Flow , 2007, IEEE Transactions on Power Systems.

[14]  K.L. Lo,et al.  A New Approximate Load Flow Calculation Method for Contingency Selection , 2006, 2006 IEEE PES Power Systems Conference and Exposition.

[15]  K. R. Padiyar,et al.  Dynamic analysis of small signal voltage instability decoupled from angle instability , 1996 .

[16]  V. H. Quintana,et al.  A fast and reliable decoupled load flow method in rectangular coordinates , 1990, Proceedings of the Twenty-Second Annual North American Power Symposium.

[17]  M. S. Sachdev,et al.  A Fast Approximate Technique for Outage Studies in Power System Planning and Operation , 1974 .

[18]  Hui Liu,et al.  Quantitative SSR Analysis of Series-Compensated DFIG-Based Wind Farms Using Aggregated RLC Circuit Model , 2017, IEEE Transactions on Power Systems.