A power system for use in a power facility is disclosed. The power system may have a first generator set with a first engine drivingly coupled to a first generator, and a second generator set with a second engine drivingly coupled to a second generator. The power system may also have a common bus, and a controller in communication with the first and second generator sets. The controller may be configured to direct power from the first generator to the common bus, and synchronize a power output from the second generator with a power output from the first generator. The controller may be further configured to postpone power from the second generator being directed to the common bus until the first and second engines are substantially mechanically synchronized.
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