My dryer is using way more electricity than normal.

Sounds to me like a short. Your dryer may be making electrical contacts in areas that it shouldn't. I'd open it up and check all the wiring. Tighten down all the screws you can find. Use a multimeter. Test the continuity on the heater coils. A typical load should run about 3000 watts.

A clothes dryer accounts for a whopping 12% of electricity use in a typical household. And clothes drying is one of the easiest places to save energy, because you can erase 100% of the cost by simply hanging your clothes up to dry. At a sample rate of $0.15/kWh and 7.5 loads per week, we're talking a savings of $196 per year by line-drying instead of using an electric dryer. That's hefty.

Here was the question I posted on drying clothes several years ago: Any tips for preventing stiff clothes when drying outdoors?