Synchronized Operating Point Stability of Multimachine Power System using Holomorphic Embedding in Kuramoto Framework

The multimachine power system is prone to the possible vulnerabilities caused due to unwanted disturbances that result in the most researched topic of transient stability. The transient stability in the power network is posed as synchronization of the coupled oscillator in the nonuniform second order Kuramoto framework. The conventional stability analysis typically uses the phasor measurement units data that is sensitivity to cyber attacks and iterative power flow solutions which genuinely has convergence issues, that lag reliability, and scalability. To eliminate the dependency of the iterative based load flow methods, a novel approach to adequately investigate the stability of the synchronized operating point in the multimachine power network using holomorphic embedding is presented in this paper. The proposed method is sufficiently illustrated on the IEEE 3-generator 9-bus system along with problem formulation and simulation results.

[1]  A. Karami,et al.  Improvement in power system transient stability by using STATCOM and neural networks , 2019, Electrical Engineering.

[2]  Wei Dong,et al.  Impacts of Grid Structure on PLL-Synchronization Stability of Converter-Integrated Power Systems , 2019, IFAC-PapersOnLine.

[3]  Daniel Tylavsky,et al.  Estimating the saddle-node bifurcation point of static power systems using the holomorphic embedding method , 2017 .

[4]  Bin Wang,et al.  A Multi-Dimensional Holomorphic Embedding Method to Solve AC Power Flows , 2017, IEEE Access.

[5]  J. Nuttall,et al.  THE CONVERGENCE OF PADÉ APPROXIMANTS TO FUNCTIONS WITH BRANCH POINTS , 1977 .

[6]  Florian Dörfler,et al.  Kron Reduction of Graphs With Applications to Electrical Networks , 2011, IEEE Transactions on Circuits and Systems I: Regular Papers.

[7]  Daniel Tylavsky,et al.  A novel method to converge to the unstable equilibrium point for a two-bus system , 2013, 2013 North American Power Symposium (NAPS).

[8]  Eskandar Gholipour,et al.  Holomorphic Embedding Load-Flow Modeling of Thyristor-Based FACTS Controllers , 2017, IEEE Transactions on Power Systems.

[9]  Newton G. Bretas,et al.  Synchronism versus stability in power systems , 1999 .

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

[11]  Francesco Bullo,et al.  Synchronization and transient stability in power networks and non-uniform Kuramoto oscillators , 2010, ACC 2010.

[12]  Daniel Tylavsky,et al.  Nonlinear network reduction for distribution networks using the holomorphic embedding method , 2016, 2016 North American Power Symposium (NAPS).

[13]  Antonio Trias,et al.  Fundamentals of the Holomorphic Embedding Load-Flow Method , 2015, ArXiv.