The present invention relates to a method and plant of operating a grid forming power supply plant based on both a renewable energy, such as based on wind energy, solar energy, hydro energy, wave energy, and a carbon based energy, such as carbon based fuel. The grid includes a power input connection from a renewable power supply system and a power input connection from an carbon fuel engine based generator set. The generator set includes an engine for converting the carbon-based energy into motion energy, a generator, such as an alternator, for converting the motion energy into electrical energy, and a clutch for coupling and uncoupling of the engine with the generator. The system also includes a power buffer, such as a battery, subsystem for providing short term grid forming capacity and a plant grid forming controller for controlling grid parameters by means of controlling steps of a method. The plant grid forming controller includes interaction means for interacting with a control unit of the renewable power supply system, interaction means for interacting with a power buffer control unit, and interaction means for interaction with a control unit of the generator set.