During an outage in summer, if your freezer food isn't cold enough, use that first and keep things that only need to be 32 degrees in the freezer until it gets above freezing. Then use ice or use the food.
When it's freezing outside, refrigeration is already provided outside so you're priority is keeping the house warm.
Cheap power inverter on your car battery will run most refrigerators. Run it a few hours, shut it off a few. It's not rocket science.
Some can power an electric heater and fan to provide single room warmth. Charcoal grill for cooking outside. Boil a pot of snow for water on some pallet wood if necessary.
Charge your phone in the car or with previous mentioned power inverter.
simple inverter Learned a lot from this guy last ten years. His content on prepper stuff is outstanding and he lives in Texas so understands what people there are going through.
How We are Handling the Texas Power Outage and Record Low Temps