A generator including a shaft , a generally rotationally-fixed housing , first bearings 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 (CL), 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 (G), 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 (CL), 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 (G), wherein the ring is positioned radially outward of the flywheel and wherein the ring has a squirrel cage configuration. <EOS>