Model order reduction based dynamic equivalence of a wind farm

Abstract This paper presents dynamic equivalence of a wind farm based on the model order reduction (MOR) methods. A doubly-fed induction generator (DFIG) with complete mechanical, electrical and control components is the basis for model development. For the purpose of wind fluctuation simulation, the dynamic model of DFIG can be seen as a linear input–output system with the incoming wind speed as the input and the generated active power as the output. Linear model reduction techniques, dominant pole based modal analysis (DPMA) and balanced truncation (BT), combined with classical aggregation skills are applied to obtain a new low-order system representing a wind farm. Simulations and comparisons are carried out in the test system to validate the ability of the reduced order model in matching the active power generated by the detailed wind farm model.

[1]  J. Myrzik,et al.  Dynamic equivalencing of distribution networks with dispersed generation , 2007, 2006 IEEE Power Engineering Society General Meeting.

[2]  Jon Clare,et al.  Doubly fed induction generator using back-to-back PWM converters and its application to variable-speed wind-energy generation , 1996 .

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

[4]  Peter W. Sauer,et al.  Towards a wind farm reduced-order model , 2011 .

[5]  Vijay Vittal,et al.  Impact of increased penetration of DFIG based wind turbine generators on transient and small signal stability of power systems , 2009, IEEE PES General Meeting.

[6]  Peter W. Sauer,et al.  Reduced-order model of Type-C wind turbine generators , 2011 .

[7]  J. V. Milanovic,et al.  Wind Farm Model Aggregation Using Probabilistic Clustering , 2013, IEEE Transactions on Power Systems.

[8]  Sudipta Ghosh,et al.  Doubly Fed Induction Generator (DFIG)-Based Wind Farm Control Framework for Primary Frequency and Inertial Response Application , 2016, IEEE Transactions on Power Systems.

[9]  Wei Qiao,et al.  Dynamic modeling and control of doubly fed induction generators driven by wind turbines , 2009, 2009 IEEE/PES Power Systems Conference and Exposition.

[10]  Luis M. Fernández,et al.  Equivalent models of wind farms by using aggregated wind turbines and equivalent winds , 2009 .

[11]  José Ignacio Pérez Arriaga,et al.  Selective modal analysis with applications to electric power systems , 1981 .

[12]  H. Polinder,et al.  General Model for Representing Variable-Speed Wind Turbines in Power System Dynamics Simulations , 2002, IEEE Power Engineering Review.

[13]  A. Sarić,et al.  Dynamic model reduction: An overview of available techniques with application to power systems , 2012 .

[14]  Vladislav Akhmatov.  An Aggregated Model of a Large Wind Farm with Variable-Speed Wind Turbines Equipped with Doubly-Fed Induction Generators , 2004 .

[15]  Jiaying Shi,et al.  Impact of DFIG wind power on power system small signal stability , 2013, 2013 IEEE PES Innovative Smart Grid Technologies Conference (ISGT).

[16]  N. Martins,et al.  Efficient Computation of Multivariable Transfer Function Dominant Poles Using Subspace Acceleration , 2006, IEEE Transactions on Power Systems.

[17]  Sudipta Ghosh,et al.  Balanced truncation based reduced order modeling of wind farm , 2013 .

[18]  M. A. El-Sharkawi.  Dynamic equivalent models for wind power plants , 2011, 2011 IEEE Power and Energy Society General Meeting.

[19]  Zhe Chen,et al.  Aggregated Modelling for Wind Farms for Power System Transient Stability Studies , 2012, 2012 Asia-Pacific Power and Energy Engineering Conference.

[20]  Rui Castro,et al.  A wind park reduced-order model using singular perturbations theory , 1996 .

[21]  M. A. Chowdhury,et al.  A novel aggregated DFIG wind farm model using mechanical torque compensating factor , 2013 .

[22]  Peter Benner,et al.  Dimension Reduction of Large-Scale Systems , 2005 .

[23]  B. Moore.  Principal component analysis in linear systems: Controllability, observability, and model reduction , 1981 .

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