Voltage stability and robustness for microgrid systems

Voltage stability is of essential importance for power grids. The emergence of distributed energy generators, controllable loads, and local-area energy storage capabilities have introduced new scenarios for distribution networks in which classical frameworks for voltage stability may be inadequate. This paper introduces a control-theoretic framework for studying voltage stability and its robustness, as well as optimal power management in distribution systems composed of networked microgrids. The framework involves descriptions of the loads and generators by nonlinear state space models and the network connections by a set of topology-based algebraic equations. The integration of the combined system leads to a general nonlinear state space model for the microgrid systems. Simplified microgrids are used to illustrate the concepts.

[1]  H. Glavitsch,et al.  Estimating the Voltage Stability of a Power System , 1986, IEEE Transactions on Power Delivery.

[2]  Kun Men,et al.  Fast dynamic voltage stability margin estimation by integration with intelligent load adjustments , 2005, IEEE Power Engineering Society General Meeting, 2005.

[3]  Ghadir Radman,et al.  Enhancement of microgrid dynamic voltage stabilty using Microgrid Voltage Stabilizer , 2011, 2011 Proceedings of IEEE Southeastcon.

[4]  Y. Tamura,et al.  Relationship Between Voltage Instability and Multiple Load FLow Solutions in Electric Power Systems , 1983, IEEE Transactions on Power Apparatus and Systems.

[5]  Xifan Wang,et al.  Determination of load shedding to provide voltage stability , 2011 .

[6]  P. Olver.  Nonlinear Systems , 2013 .

[7]  S. Sastry,et al.  Analysis of power-flow equation , 1981 .

[8]  T. Thiringer,et al.  Voltage and Transient Stability Support by Wind Farms Complying With the E.ON Netz Grid Code , 2007, IEEE Transactions on Power Systems.

[9]  Hadi Saadat,et al.  Power System Analysis , 1998 .

[10]  Peter W. Sauer,et al.  Robust stability in power systems with nonlinear loads using generalized Kharitonov's theorem , 1994 .

[11]  K. Vu,et al.  Use of local measurements to estimate voltage-stability margin , 1997 .

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

[13]  H. Happ.  Power system control and stability , 1979, Proceedings of the IEEE.

[14]  B. Pal,et al.  Robust Control in Power Systems , 2005 .

[15]  Ahmad Sadeghi Yazdankhah,et al.  Impacts of distributed generations on power system transient and voltage stability , 2012 .

[16]  C. W. Taylor.  Power System Voltage Stability , 1993 .

[17]  Kwang Y. Lee,et al.  A study on voltage collapse mechanism in electric power systems , 1991 .

[18]  Arturo Roman Messina,et al.  Robust Stability and Performance Analysis of Large Scale Power Systems with Parametric Uncertainty: A Structured Singular Value Approach , 2008 .

[19]  B. Venkatesh,et al.  Optimal reconfiguration of radial distribution systems to maximize loadability , 2004, IEEE Transactions on Power Systems.

[20]  David J. Hill,et al.  Energy Functions, Transient Stability and Voltage Behaviour in Power Systems with Nonlinear Loads , 1989, IEEE Power Engineering Review.

[21]  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.

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

[23]  T. Van Cutsem.  An approach to corrective control of voltage instability using simulation and sensitivity , 1993 .

[24]  N.G. Bretas,et al.  Large disturbance voltage stability assessment using extended Lyapunov function and considering voltage dependent active loads , 2005, IEEE Power Engineering Society General Meeting, 2005.

[25]  Math Bollen,et al.  Integration of Distributed Generation in the Power System , 2008 .