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This study looks into reliability assessment and components rating of a wind-power system with integrated battery energy storage. The system can potentially be used in remote electrification projects to mitigate the reliance on diesel generators. A reliability assessment method has been proposed in this study, based on a combination of the traditional analytical and simulation-based approaches, to enable calculation of reliability indices, required battery capacity and power rating, and power rating of the power-electronic converter of the wind-power units. The proposed method is easy to implement in the MATLAB software environment, takes into account the units forced outage rate (FOR), and also permits modelling of the grid-connected mode.