Abstract
The state-space representations grant a convenient, compact, and elegant way to examine the induction and synchronous generator-based wind turbines, with facts readily available for stability, controllability, and observability analysis. The state-space models are used to look into the functionality of different wind turbine technologies to fulfill grid code requirements. This paper deals with the model order reduction of the Variable-Speed Wind Turbines model with the aid of improved stability preserving a balanced realization algorithm based on frequency weighting. The algorithm, which is in view of balanced realization based on frequency weighting, can be utilized for reducing the order of the system. Balanced realization based model design uses a full frequency spectrum to perform the model reduction. However, it is not possible practically to use the full frequency spectrum. The Variable-Speed Wind Turbines model utilized in this paper is stable and includes various input-output states. This brings a complicated state of affairs for analysis, control, and design of the full-scale system. The proposed work produces steady and precise outcomes such as in contrast to conventional reduction methods which shows the efficacy of the proposed algorithm.
Highlights
Among the available sources of energy such as oil, gas coal, and nuclear, the wind is recognized as an infinite source of clean energy
In [48], input related and output related matrices Xen and Yen respectively are not ensured to be positive/semi-positive definite due to negative eigenvalues obtained by using eigenvalue decomposition of Xen and Yen
The proposed technique ensured the positive/semi-positive definite of the matrices Xen and Yen by introducing small variation in input related and output related matrices Xen and Yen respectively. This is achieved by subtracting all the eigenvalues with the negative sum of eigenvalues which results in stable
Summary
Among the available sources of energy such as oil, gas coal, and nuclear, the wind is recognized as an infinite source of clean energy. According to the global wind energy council (GWEC), by the completion of the year 2019, the total cumulative installed capacity of wind energy was 60.4 GW [5] around the globe, which is a 19 % globally increase from installation in. The total cumulative installed capacity for wind energy is 651 GW around the globe, a 10 % increase compared to 2018 (see GWEC for more detail). Wind farms need their disturbance less connection with the grid similar to that of a conventional power plant. In this regard a noble grid code essentially covers the following [12]:
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