Abstract
The world tendency is to replace all generators that use fossil fuels by renewable energy. Although this is a very important step toward keeping the environment clean, this paper shows that by replacing wind energy by the conventional generators, the relative stability becomes worse. This does not mean that the paper is against such replacement, but makes an alert to be aware of such important issue and to implement appropriate controllers for increasing the relative stability of the power systems equipped with renewable energy sources. In this work, a data-driven approach is used to assess the stability of power grids by just using voltage time-series data. Lyapunov exponent (LE) index is presented as an effective tool to analyze complex systems stability. If the maximum LE (MLE) is positive (negative), then the system is unstable (stable). In the present paper, the MLE is computed for a finite-time interval for the sample system of the New England 39-Bus system. In the end, the effect of renewable wind energy on the stability of the system has been investigated and by substituting the wind farm in different areas of the system, the impact of adding a wind farm to the system in different locations is found.
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Amiri, M., Dehghani, M., Khayatian, A., Mohammadi, M., Vafamand, N., Boudjadar, J. (2021). Investigation of Wind Energy Impact on Power Systems Stability Using Lyapunov Exponents. In: Selvaraj, H., Chmaj, G., Zydek, D. (eds) Proceedings of the 27th International Conference on Systems Engineering, ICSEng 2020. ICSEng 2020. Lecture Notes in Networks and Systems, vol 182. Springer, Cham. https://doi.org/10.1007/978-3-030-65796-3_2
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