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When generators of a power system are subject to a large disturbance, their electromechanical oscillations (EOs) are essentially nonlinear as observed from their rotor angle waveforms due to the nonlinear power network. However, traditional modal analysis has not given enough considerations to nonlinearities in EOs. This paper analytically formulates the accurate oscillation frequency (OF) of an EO...
This paper proposes a new approach to estimate the non-constant nonlinear frequency of a power system electro-mechanical oscillation mode by deriving an approximate, analytic expression about the oscillation amplitude-frequency dependency. The approach uses the Harmonic Balance Method (HBM) together with one of three representative function approximation techniques, i.e. Taylor Expansion (TE), Chebyshev...
For analysis of non-constant electro-mechanical oscillation frequency with a power system, this paper proposes an analytical approach integrating Differential Groebner Basis (Diff-GB) and the Harmonic Balance Method (HBM). This approach is illustrated in detail on a single-machine-infinite-bus system, whose oscillation frequency fluctuates with time due to its nonlinear-system nature. The Diff-GB...
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