An Analytical Method of Maximum Penetration of Wind Power Considering Frequency Constraint and Wind Speed Fluctuation

With the wind power capacity increasing, the system frequency fluctuation is aggravated by wind power fluctuation. Therefore, to ensure the stability of system frequency, it is important for the power system to accurately determine the maximum penetration of wind power (MPWP). This paper proposes an analytical method to determine the MPWP considering frequency constraints and wind speed fluctuation (WSF). Firstly, a frequency response model based on wind speed prediction is established, which can reflect the frequency dynamics under WSF and load fluctuation. Then, by using analytical and discretization methods, the maximum steady-state frequency deviation and the maximum rate of change of frequency are solved under WSF and load fluctuation. Based on the solved results, the MPWP can be determined under the frequency constraints. Finally, simulation results confirm the proposed method efficacy in determining the MPWP.