Abstract
Small signal analysis methods based on linear time-invariant theory such as impedance-based analysis method and eigenvalue-based analysis method have been frequently proposed to assess the closed-loop stability of grid-connected inverter. However, these methods fail to deal with the effects of time-varying operation points caused by system parameters perturbation or ageing under the long-term operation. The concept and stability criteria of linear time-invariant system are no more effective for dynamic systems with time-varying parameters. This paper presents a time-varying modelling and stability analysis method for grid-connected inverter based on Lyapunov energy function, which is able to investigate the effects of time-varying operation points caused by parameters perturbation on stability under the long-term operation. Simulation results are provided to validate the proposed time-varying modelling and stability analysis method. The proposed method is able to predict potential instability issues of grid-connected inverter within the lifetime of passive components, and provide the design guideline for passive components in terms of stability.
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