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This work presents a unified method for dynamic modeling and stability analysis of microgrid power systems. Using the automated state model generation algorithm, a state-space model of the microgrid power system is derived. The model may be used to conduct time-domain simulations and analyze system response to large transients. Additionally, eigenvalues of the system may be analyzed with respect to inverter control gains to assess small-signal stability. The proposed methodology is verified for a large-signal transient study and small-signal stability analysis using dual and single-inverter microgrid systems, respectively. The presented method is general and may be applied to balanced three-phase circuit topologies and inverter controllers without the need to derive circuit state equations.
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Johnson et al. (2010) studied this question.
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