In this paper, the idea of operating an inverter as a synchronous generator is developed after establishing a model for synchronous generators to cover all dynamics without any assumptions on the signals. The inverters which are operated in this way are called static synchronous generators (SSG). This means that the wellestablished theory/device for synchronous generators can still be used for inverters, which will dominate the power generation in the future because of the increasing share of distributed generation sources and renewable energy sources utilised. The power of an SSG can be regulated using the well-known frequency and voltage drooping mechanism. SSGs can also be easily operated in gridconnected mode or island mode. Simulation results are given to verify the idea.