A Wind Farm Reduced Order Model Using Integral Manifold Theory
Creators
Description
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.
Files
6031.pdf
Files
(340.1 kB)
| Name | Size | Download all |
|---|---|---|
|
md5:5f3b81c042a93ef74cd061b2aed55a28
|
340.1 kB | Preview Download |
Additional details
References
- 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.
- 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.
- 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.
- 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.
- 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.
- 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.
- 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.
- 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
- 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.