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On The Transient Stability Of Large Wind Farms
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| Author(s) |
V. Knyazkin, M. Ghandhari, C. Canizares |
| Abstract |
This paper presents an analytical method for the assessment for the transient stability domain estimates of large wind farms. A detailed derivation of a reduced-order mathematical model of the wind farm is presented and analyzed. The model reduction commences with the treatment of a well-known fifth order model of the asynchronous generator and utilizes the integral manifold theory to arrive at the model described by a set of three differential equations. The obtained reduced-order model is essentially treated as a linear system with a structured, vector valued vanishing perturbation, which sets the analytical framework for the analytical explorations presented in this paper. In particular, the Lyapunov second method is applied to analyze the dynamic properties of the wind farm. Four well-known techniques for Lyapunov function construction are considered in the context of a simple power system consisting of a single asynchronous generator. It is shown analytically that certain techniques fail to yield valid Lyapunov functions. A methodology for constructing a quadratic Lyapunov function is presented and discussed. Nonlinear simulations are used to demonstrate the theoretical finding reported in the paper and gain further insights into the dynamic properties of wind farms. |
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| Filename: | A13185 |
| Filesize: | 1.049 MB |
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| Type |
Members Only |
| Date |
Last modified 2006-02-15 by System |
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