Hybrid Controller for Wind Turbine Generators to Ensure Adequate Frequency Response in Power Networks

Converter-interfaced power sources (CIPS) are hybrid control systems as they may switch between multiple operating modes. Due to increasing penetration, the hybrid behavior of CIPS, such as wind turbine generators (WTGs), may have significant impact on power system dynamics. In this paper, the frequency dynamics under inertia emulation and primary support from WTG is studied. A mode switching for WTG to ensure adequate frequency response is proposed. The switching instants are determined by our proposed concept of a region of safety (ROS), which is the initial set of safe trajectories. The barrier certificate methodology is employed to derive a new algorithm to obtain and enlarge the ROS for the given desired safe limits and the worst case disturbance scenarios. Then, critical switching instants and a safe recovery procedure are found. In addition, the emulated inertia and load-damping effect are derived in the time frame of inertia and primary frequency response, respectively. The theoretical results under critical cases are consistent with simulations and can be used as guidance for a practical control design.

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

[2]  P. Parrilo Structured semidefinite programs and semialgebraic geometry methods in robustness and optimization , 2000 .

[3]  Peter J Seiler,et al.  SOSTOOLS: Sum of squares optimization toolbox for MATLAB , 2002 .

[4]  B. J. Kirby,et al.  Frequency Control Concerns In The North American Electric Power System , 2003 .

[5]  Alexandre M. Bayen,et al.  Computational techniques for the verification of hybrid systems , 2003, Proc. IEEE.

[6]  K. Tomsovic,et al.  Application of linear matrix inequalities for load frequency control with communication delays , 2004, IEEE Transactions on Power Systems.

[7]  J. Lofberg,et al.  YALMIP : a toolbox for modeling and optimization in MATLAB , 2004, 2004 IEEE International Conference on Robotics and Automation (IEEE Cat. No.04CH37508).

[8]  Johan Löfberg,et al.  YALMIP : a toolbox for modeling and optimization in MATLAB , 2004 .

[9]  J.A. Ferreira,et al.  Wind turbines emulating inertia and supporting primary frequency control , 2006, IEEE Transactions on Power Systems.

[10]  George J. Pappas,et al.  A Framework for Worst-Case and Stochastic Safety Verification Using Barrier Certificates , 2007, IEEE Transactions on Automatic Control.

[11]  T. Hikihara,et al.  Predicting Voltage Instability of Power System via Hybrid System Reachability Analysis , 2007, 2007 American Control Conference.

[12]  R. Watson,et al.  Frequency Response Capability of Full Converter Wind Turbine Generators in Comparison to Conventional Generation , 2008, IEEE Transactions on Power Systems.

[13]  Johan Löfberg,et al.  Pre- and Post-Processing Sum-of-Squares Programs in Practice , 2009, IEEE Transactions on Automatic Control.

[14]  H. Banakar,et al.  Kinetic Energy of Wind-Turbine Generators for System Frequency Support , 2009, IEEE Transactions on Power Systems.

[15]  Didier Henrion,et al.  Approximate Volume and Integration for Basic Semialgebraic Sets , 2009, SIAM Rev..

[16]  Pulgar Painemal,et al.  Wind farm model for power system stability analysis , 2010 .

[17]  Jin Lin,et al.  Review on frequency control of power systems with wind power penetration , 2010, 2010 International Conference on Power System Technology.

[18]  N. Elia,et al.  Reachability analysis based transient stability design in power systems , 2010 .

[19]  Noel Aubut,et al.  Wind farm inertia emulation to fulfill Hydro-Québec's specific need , 2011, 2011 IEEE Power and Energy Society General Meeting.

[20]  F. Blaabjerg,et al.  Control of Power Converters in AC Microgrids , 2012, IEEE Transactions on Power Electronics.

[21]  Takashi Hikihara,et al.  A Hybrid System Approach to the Analysis and Design of Power Grid Dynamic Performance , 2012, Proceedings of the IEEE.

[22]  I. Hiskens,et al.  Dynamics of Type-3 Wind Turbine Generator Models , 2012, IEEE Transactions on Power Systems.

[23]  Yu Christine Chen,et al.  A Method to Study the Effect of Renewable Resource Variability on Power System Dynamics , 2012, IEEE Transactions on Power Systems.

[24]  Goran Andersson,et al.  Impact of Low Rotational Inertia on Power System Stability and Operation , 2013, 1312.6435.

[25]  Lei Wu,et al.  Towards an Assessment of Power System Frequency Support From Wind Plant—Modeling Aggregate Inertial Response , 2013, IEEE Transactions on Power Systems.

[26]  Didier Henrion,et al.  Convex Computation of the Region of Attraction of Polynomial Control Systems , 2012, IEEE Transactions on Automatic Control.

[27]  Ian M. Mitchell,et al.  Lagrangian methods for approximating the viability kernel in high-dimensional systems , 2013, Autom..

[28]  Kara Clark,et al.  Impact of wind active power control strategies on frequency response of an interconnection , 2013, 2013 IEEE Power & Energy Society General Meeting.

[29]  A. Bucurenciu,et al.  Primary Frequency Response by MTDC Offshore Grids , 2014 .

[30]  M. Althoff Formal and Compositional Analysis of Power Systems Using Reachable Sets , 2014, IEEE Transactions on Power Systems.

[31]  Siep Weiland,et al.  Optimizing Safety Supervisors for Wind Turbines using Barrier Certificates , 2014 .

[32]  Matthias Althoff,et al.  Reachability Analysis of Nonlinear Differential-Algebraic Systems , 2014, IEEE Transactions on Automatic Control.

[33]  Vahan Gevorgian,et al.  Investigating the Impacts of Wind Generation Participation in Interconnection Frequency Response , 2015, IEEE Transactions on Sustainable Energy.

[34]  Fabian M. Uriarte,et al.  Microgrid Ramp Rates and the Inertial Stability Margin , 2015, IEEE Transactions on Power Systems.

[35]  Xin Chen,et al.  Linear relaxations of polynomial positivity for polynomial Lyapunov function synthesis , 2014, IMA J. Math. Control. Inf..

[36]  Kevin Tomsovic,et al.  Virtual Actuators for Wide-Area Damping Control of Power Systems , 2016, IEEE Transactions on Power Systems.