A study on relationship between power network structure and total transient energy

Abstract A good understanding of the power network structure is important to smart grid development. In this paper, we present a study on the impact of the power network structure on the dynamics of power systems. The particular interest of this study is in the impact of the structure of bus location on the total transient energy injected into the system due to a fault, which is an important factor affecting the dynamics of power systems. First, we develop a mathematical representation to estimate the total transient energy. Then, the distribution factors of the total transient energy are defined based on the representation. In a power network, the difference of the distribution factors at a given bus characterizes the structural disparity of the bus. A metric is proposed to quantify the structural disparity. With the metric, our analysis shows that the amounts of the total transient energy due to a given fault at different buses heavily depend on the structural disparities of buses. The proposed metric can be used for fast screening of potential critical bus locations in power systems without the need of computationally extensive time-domain simulations. The feasibility of the proposed metric is validated in the case studies on the IEEE 39-bus system and a 2036-bus real power system.

[1]  P. Kundur,et al.  Power system stability and control , 1994 .

[2]  V. Vittal,et al.  Right-Sized Power System Dynamic Equivalents for Power System Operation , 2011, IEEE Transactions on Power Systems.

[3]  M. Pai,et al.  Electromechanical distance measure for decomposition of power systems , 1984 .

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

[5]  Di Wu,et al.  Impact of Grid Structure on Dynamics of Interconnected Generators , 2014, IEEE Transactions on Power Systems.

[6]  Pravin Varaiya,et al.  Arnold diffusion in the swing equations of a power system , 1984 .

[7]  Zhenyu Huang,et al.  Predictive Dynamic Simulation for Large-Scale Power Systems through High-Performance Computing , 2012, 2012 SC Companion: High Performance Computing, Networking Storage and Analysis.

[8]  R. Podmore,et al.  A Practical Method for the Direct Analysis of Transient Stability , 1979, IEEE Transactions on Power Apparatus and Systems.

[9]  A. Y. Chang,et al.  Enhanced "Second Kick" methods for on-line dynamic security assessment , 1996 .

[10]  Damien Ernst,et al.  Transient Stability of Power Systems: A Unified Approach to Assessment and Control , 2000 .

[11]  A. Chakrabortty,et al.  PMU placement for dynamic equivalencing of power systems under flow observability constraints , 2014 .

[12]  Jurgen Kurths,et al.  Synchronization in complex networks , 2008, 0805.2976.

[13]  M. Ribbens-Pavella,et al.  Extended Equal Area Criterion Justifications, Generalizations, Applications , 1989, IEEE Power Engineering Review.

[14]  R. Belhomme,et al.  A composite electromechanical distance approach to transient stability , 1991 .

[15]  Fred C. Schweppe,et al.  Distance Measures and Coherency Recognition for Transient Stability Equivalents , 1973 .

[16]  H. H. Happ,et al.  Power System Control and Stability , 1979, IEEE Transactions on Systems, Man, and Cybernetics.

[17]  A. Fouad,et al.  Transient Stability of a Multi-Machine Power System Part I: Investigation of System Trajectories , 1981, IEEE Transactions on Power Apparatus and Systems.

[18]  Carlos J. Tavora,et al.  Characterization of Equilibrium and Stability in Power Systems , 1972 .

[19]  Gary W. Chang,et al.  Power System Analysis , 1994 .

[20]  Florian Dörfler,et al.  Synchronization in complex networks of phase oscillators: A survey , 2014, Autom..

[21]  Jorge Valenzuela,et al.  A two-phase investment model for optimal allocation of phasor measurement units considering transmission switching , 2015 .

[22]  A. Díaz-Guilera,et al.  Role of network topology in the synchronization of power systems , 2012, 1207.0406.

[23]  M. Pai.  Energy function analysis for power system stability , 1989 .

[24]  A. Michel,et al.  Power system transient stability using individual machine energy functions , 1983 .

[25]  Vijay Vittal,et al.  Power system transient stability analysis: Formulation as nearly Hamiltonian systems , 1984 .

[26]  Ka Wing Chan,et al.  On-line stability constraint assessment for large complex power systems , 1998 .

[27]  Rahmat-Allah Hooshmand,et al.  A new method for optimal placement of phasor measurement units to maintain full network observability under various contingencies , 2012 .

[28]  Marc Pastre,et al.  High-Speed Power System Transient Stability Simulation Using Highly Dedicated Hardware , 2013, IEEE Transactions on Power Systems.

[29]  Vijay Vittal,et al.  An on-line contingency filtering scheme for dynamic security assessment , 1997 .

[30]  Vijay Vittal,et al.  The transient energy function method , 1988 .

[31]  Marc Timme,et al.  Impact of network topology on synchrony of oscillatory power grids. , 2013, Chaos.

[32]  Sergey N. Dorogovtsev,et al.  Critical phenomena in complex networks , 2007, ArXiv.

[33]  Kazuya Omata,et al.  Development of transient stability control system (TSC system) based on on-line stability calculation , 1996 .

[34]  Joe H. Chow,et al.  A toolbox for power system dynamics and control engineering education and research , 1992 .