A Wind Farm Reduced Order Model Using Integral Manifold Theory
Due to the increasing penetration of wind energy, it is
necessary to possess design tools that are able to simulate the impact
of these installations in utility grids. In order to provide a net
contribution to this issue a detailed wind park model has been
developed and is briefly presented. However, the computational costs
associated with the performance of such a detailed model in
describing the behavior of a wind park composed by a considerable
number of units may render its practical application very difficult. To
overcome this problem integral manifolds theory has been applied to
reduce the order of the detailed wind park model, and therefore
create the conditions for the development of a dynamic equivalent
which is able to retain the relevant dynamics with respect to the
existing a.c. system. In this paper integral manifold method has been
introduced for order reduction. Simulation results of the proposed
method represents that integral manifold method results fit the
detailed model results with a higher precision than singular
perturbation method.
[1] Bansal, R.C.; Bhatti, T.S.; Kothari, D.P. Bibliography on the application
of induction generators in nonconventional energy systems, IEEE
Transactions on Energy Conversion , Volume: 18 No: 3, Sept. 2003
Page(s): 433 -439.
[2] A.I. Estanqueiro , R.Aguiar, J.Gil Saraiva ,Rui M.G. Castro, J.M.Ferreira
de Jesus, The Development and Application of a Model for power Output
Fluctuations in a Wind Park , Proc.1993 European Community wind
Energy Conf . and exhibition (ECWEC), Lubbeck, Mar. 1993.
[3] Ekanayake, J.B.; Holdsworth, L.; XueGuang Wu Jenkins, N., Dynamic
modeling of doubly fed induction generator wind turbines; IEEE
Transactions on Power Systems, Volume: 18 No:2 ,May 2003, Page(s):
803-809.
[4] Rui M. G. Castro, J. M. Ferreira de jesus, A wind park linearized model ,
proc.1993 British wind Energy association conf. (BWEA) , York Oct.
1993.
[5] J. M. Undrill, A.E. Turner, Construction of power system
electromechanical equivalents by modal analysis. IEEE Trans. On
power apparatus and systems. Vol. PAS-90, Sep/Oct.1971.
[6] Bruce C. Moore, Principal Component Analysis in linear systems:
Controllability, Observability , and model reduction , IEEE Trans. On
automatic control, Vol.AC-26, No. 1, Feb.1981.
[7] Peter M. M. Bongers ,Modeling and Identification of flexible wind
turbines and factorizational Approach to robust control ,PhD Thesis,
Delft University of technology , Delft University of technology , Delft.
Jun.1994.
[8] Castro, R.M.G.; Ferreira de Jesus, J.M.; A wind park reduced-order
model using singular perturbations theory, IEEE Transactions on Energy
Conversion, Volume:11, No:4, Dec.1996, Page(s): 735 -741
[9] Tseng, H.C.; Kokotovic, P.V.; Tracking and disturbance rejection in
nonlinear systems: the integral manifold approach, Proceedings of the
27th IEEE Conference on Decision and Control, 7-9 Dec. 1988,
Page(s):459-463,vol.1.
[10] Kokotovic, P.V.; Sauer, P.W.; Integral manifold as a tool for reducedorder
modeling of nonlinear systems: A synchronous machine case
study, IEEE Transactions on Circuits and Systems, Volume: 36 No: 3,
March 1989, Page(s):403-410.
[1] Bansal, R.C.; Bhatti, T.S.; Kothari, D.P. Bibliography on the application
of induction generators in nonconventional energy systems, IEEE
Transactions on Energy Conversion , Volume: 18 No: 3, Sept. 2003
Page(s): 433 -439.
[2] A.I. Estanqueiro , R.Aguiar, J.Gil Saraiva ,Rui M.G. Castro, J.M.Ferreira
de Jesus, The Development and Application of a Model for power Output
Fluctuations in a Wind Park , Proc.1993 European Community wind
Energy Conf . and exhibition (ECWEC), Lubbeck, Mar. 1993.
[3] Ekanayake, J.B.; Holdsworth, L.; XueGuang Wu Jenkins, N., Dynamic
modeling of doubly fed induction generator wind turbines; IEEE
Transactions on Power Systems, Volume: 18 No:2 ,May 2003, Page(s):
803-809.
[4] Rui M. G. Castro, J. M. Ferreira de jesus, A wind park linearized model ,
proc.1993 British wind Energy association conf. (BWEA) , York Oct.
1993.
[5] J. M. Undrill, A.E. Turner, Construction of power system
electromechanical equivalents by modal analysis. IEEE Trans. On
power apparatus and systems. Vol. PAS-90, Sep/Oct.1971.
[6] Bruce C. Moore, Principal Component Analysis in linear systems:
Controllability, Observability , and model reduction , IEEE Trans. On
automatic control, Vol.AC-26, No. 1, Feb.1981.
[7] Peter M. M. Bongers ,Modeling and Identification of flexible wind
turbines and factorizational Approach to robust control ,PhD Thesis,
Delft University of technology , Delft University of technology , Delft.
Jun.1994.
[8] Castro, R.M.G.; Ferreira de Jesus, J.M.; A wind park reduced-order
model using singular perturbations theory, IEEE Transactions on Energy
Conversion, Volume:11, No:4, Dec.1996, Page(s): 735 -741
[9] Tseng, H.C.; Kokotovic, P.V.; Tracking and disturbance rejection in
nonlinear systems: the integral manifold approach, Proceedings of the
27th IEEE Conference on Decision and Control, 7-9 Dec. 1988,
Page(s):459-463,vol.1.
[10] Kokotovic, P.V.; Sauer, P.W.; Integral manifold as a tool for reducedorder
modeling of nonlinear systems: A synchronous machine case
study, IEEE Transactions on Circuits and Systems, Volume: 36 No: 3,
March 1989, Page(s):403-410.
@article{"International Journal of Electrical, Electronic and Communication Sciences:55120", author = "M. Sedighizadeh and A. Rezazadeh", title = "A Wind Farm Reduced Order Model Using Integral Manifold Theory", abstract = "Due to the increasing penetration of wind energy, it is
necessary to possess design tools that are able to simulate the impact
of these installations in utility grids. In order to provide a net
contribution to this issue a detailed wind park model has been
developed and is briefly presented. However, the computational costs
associated with the performance of such a detailed model in
describing the behavior of a wind park composed by a considerable
number of units may render its practical application very difficult. To
overcome this problem integral manifolds theory has been applied to
reduce the order of the detailed wind park model, and therefore
create the conditions for the development of a dynamic equivalent
which is able to retain the relevant dynamics with respect to the
existing a.c. system. In this paper integral manifold method has been
introduced for order reduction. Simulation results of the proposed
method represents that integral manifold method results fit the
detailed model results with a higher precision than singular
perturbation method.", keywords = "Wind, Reduced Order, Integral Manifold.", volume = "2", number = "1", pages = "92-6", }