An Analytical Model for Frequency Nadir Prediction Following a Major Disturbance

• Published in: IEEE transactions on power systems 2020-07, Vol.35 (4), p.2527-2536
• Main Authors: Liu, Liu, Li, Weidong, Ba, Yu, Shen, Jiakai, Jin, Cuicui, Wen, Kerui
• Format: Article
• Language: English
• Subjects: Accuracy; Analytical models; Computational modeling; Decoupling; Frequency deviation; Frequency nadir; Frequency response; Generators; Governors; Iterative methods; Mathematical analysis; Mathematical model; Mathematical models; maximum frequency deviation; Polynomials; power deficit; Prediction models; Predictive models; primary frequency response; Time-frequency analysis
• ISSN: 0885-8950; 1558-0679
• DOI: 10.1109/TPWRS.2019.2963706

The frequency nadir is a significant indicator for the primary frequency response monitoring and control. It is imperative to predict the maximum frequency deviation and the time at which the maximum occurs with high efficiency and accuracy following a major disturbance. To develop an analytical model for the frequency nadir prediction, the closed-loop is broken and a parabolic frequency deviation is input for decoupling the calculation of governor response and frequency deviation. Following which, the polynomial fitting is adopted to depict the primary frequency response characteristic of each governor. The iterative numerical solution for the frequency nadir prediction model is carried out based on the insight into the features of governor response. Case studies are presented to verify the performance of the analytical model over WSCC 9-bus system, New England 39-bus system and practical provincial power system, where the frequency nadir prediction model demonstrates its advantages of easy implementation, minimum computation, and high accuracy.