Properties of the Frequency–Amplitude Curve




Wang, Bin
Su, Xiaowen
Sun, Kai

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Institute of Electrical and Electronics Engineers


The frequency-amplitude (F-A) curve has been proposed to characterize the electromechanical oscillation frequency of a single-machine-infinite-bus (SMIB) system considering nonlinearity of the swing equation. For a multi-machine system, the F-A curve regarding one oscillation mode is a projection of the system trajectory between the stable equilibrium point and the stability boundary onto the F-A plane. This letter provides rigorous proofs of six general properties of the F-A curve.


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F-A curve, electromechanical oscillation, nonlinear oscillation, oscillation frequency (OF)


Wang, B., Su, X., & Sun, K. (2017). Properties of the Frequency–Amplitude Curve. IEEE Transactions on Power Systems, 32(1), 826-827. doi:10.1109/TPWRS.2016.2553583


Electrical and Computer Engineering