It could, depending on what the refrigerator and portable power station are. hour. A 200-watt-hour power supply could be enough to keep your refrigerator running for almost three hours if you experience a temporary power cut. To run your refrigerator for longer, you'll need to have a higher watt-hour power supply. Mini-fridges will last longer than larger models. Before you try this device, make sure to verify the power requirements of the portable power station and your fridge.