A hybrid welding system is provided. In one embodiment, the welding system includes an engine-driven generator, an energy storage device, a contactor, and a controller. The controller may be configured to control delivery of weld power from the generator when a commanded output is below a threshold level, and from both the generator and the energy storage when the commanded output is above the threshold level. Closing of the contactor enables the energy storage device to contribute to weld power during welding operations and to be charged by the generator output independent of charging between weld operations. Additional hybrid welding systems and methods are also disclosed.