A generator including a shaft, a generally rotationally-fixed housing, first bearings (38A, 38B) and a generator rotor torsional damper system, the generator rotor torsional damper system comprising: a generator stator; a generator rotor rotatably supported relative to the generator stator and configured to receive a rotational force input from a prime mover, wherein the shaft and the rotor are arranged concentrically within the housing, with the shaft positioned radially inward of the rotor, wherein both the shaft and the rotor are configured for rotation about a centerline, wherein the rotor is rotationally coupled to the shaft; and a flywheel rotationally supported relative to the generator rotor by second bearings, the flywheel defining a mass; and a hub mounted radially outward relative to the generator rotor and configured to rotate with the rotor, the hub including a radial portion and an axial-extending portion, wherein the flywheel is positioned adjacent to the hub, and the flywheel is positioned at least partially in a cavity defined between the radial portion and the axially-extending portion of the hub, wherein the generator rotor, the flywheel and the hub are arranged concentrically about a common axis; wherein the system comprises: an eddy current coupling operably connected between the flywheel and the generator rotor such that rotation of the generator rotor induces rotation of the flywheel in a common rotational direction through engagement by the eddy current coupling, wherein the eddy current coupling is formed by: a plurality of permanent magnets secured circumferentially, to the flywheel; and a ring of non-ferrous eddy-current conducting material mounted to the hub in a magnetic field of at least a portion of the plurality of permanent magnets, the ring spaced from the array of permanent magnets by a radial gap, wherein the ring is positioned radially outward of the flywheel and wherein the ring has a squirrel cage configuration. a generator stator; a generator rotor rotatably supported relative to the generator stator and configured to receive a rotational force input from a prime mover, wherein the shaft and the rotor are arranged concentrically within the housing, with the shaft positioned radially inward of the rotor, wherein both the shaft and the rotor are configured for rotation about a centerline, wherein the rotor is rotationally coupled to the shaft; and a flywheel rotationally supported relative to the generator rotor by second bearings, the flywheel defining a mass; and a hub mounted radially outward relative to the generator rotor and configured to rotate with the rotor, the hub including a radial portion and an axial-extending portion, wherein the flywheel is positioned adjacent to the hub, and the flywheel is positioned at least partially in a cavity defined between the radial portion and the axially-extending portion of the hub, wherein the generator rotor, the flywheel and the hub are arranged concentrically about a common axis; wherein the system comprises: an eddy current coupling operably connected between the flywheel and the generator rotor such that rotation of the generator rotor induces rotation of the flywheel in a common rotational direction through engagement by the eddy current coupling, wherein the eddy current coupling is formed by: a plurality of permanent magnets secured circumferentially, to the flywheel; and a ring of non-ferrous eddy-current conducting material mounted to the hub in a magnetic field of at least a portion of the plurality of permanent magnets, the ring spaced from the array of permanent magnets by a radial gap, wherein the ring is positioned radially outward of the flywheel and wherein the ring has a squirrel cage configuration.