Abstract
Microgrids (MGs) often operates under the unbalanced and harmonic condition due to the integration of unbalanced and nonlinear load. Several control methods of inverter-interfaced distribution generations (DGs) have been made for unbalance and harmonic compensation of MG. However, the dynamic performance and stability of these control strategies have not been discussed on system level. This paper develops the state-space model of the inverter-based MG under unbalanced and harmonic condition for stability analysis. Droop-controlled distribution generation (DG) with PR controller, uncontrolled rectifier (working as a nonlinear load), and unbalanced resistance load are included in the developed model. The complete model is built on the stationary reference frame. Dynamic-phasor (DP) method are used to describe the fundamental and harmonic components of ac waveform via the dc variables, whereby a fixed equilibrium can be obtained for small-signal analysis. Numerical simulation is carried out to validate the developed model, and small-signal analysis is performed to analyze dynamic behavior of compensation method and their influence on the stability of MG.
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