Natural gas storage system with heat accumulator

The system (1) has a container (10) designed as a natural gas storage, and a heat storage (20) provided with a heat storage medium (25). An electrically driven compressor (30) is fluidically connected to the container over a feed line (40). An expander (35) is fluidically connected to the container over a discharge line. The feed line and the discharge line are thermally coupled to the heat storage. The compressor is designed as a turbine that is operated by an electric motor, where the compressor and the expander are operated in different directions. An independent claim is also included for a method for operating a natural gas system.