Abstract
The Frequency-Amplitude (F-A) curve on power system oscillation under a large disturbance characterizes how a natural oscillation mode transitions to nonlinear oscillations with growing amplitudes and decaying frequencies. The existing formulation of the F-A curve is derived by solving elliptical integrals on oscillation of a single-machine-infinite-bus equivalent about the targeted oscillation mode. The formula is in a form of infinite series and needs to sum a large number of terms for satisfactory accuracy. This paper introduces an explicit, approximate expression obtained from the Homotopy Analysis Method on the F-A curve. The proposed F-A curve expression is derived from an SMIB system and verified on the IEEE 3-machine 9-bus system to show how the oscillation frequency of a dominant mode varies with oscillation amplitude under large disturbances.
| Original language | American English |
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| Number of pages | 5 |
| DOIs | |
| State | Published - 2021 |
| Event | 2021 IEEE Power & Energy Society General Meeting (PESGM) - Washington, D.C. Duration: 26 Jul 2021 → 29 Jul 2021 |
Conference
| Conference | 2021 IEEE Power & Energy Society General Meeting (PESGM) |
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| City | Washington, D.C. |
| Period | 26/07/21 → 29/07/21 |
NREL Publication Number
- NREL/CP-5D00-78388
Keywords
- frequency-amplitude (F-A) curve
- Homotopy Analysis Method
- power system oscillation
- rotor angle stability