Electrical energy system having different axial lengths for efficient power generation

A gas-turbine engine system comprising:

• a gas turbine engine that includes:
• a low pressure spool assembly configured to rotate a low pressure shaft;
• and
• a high pressure spool assembly mechanically coupled to the low pressure spool assembly;
• a radial dedicated generator;
• an assembly gearbox configured to mechanically couple the low pressure shaft to the radial dedicated generator;
• an engine control system configured to control the gas turbine engine;
• and
• an ignition system configured to ignite combustion within the high-pressure spool assembly,
• wherein the radial dedicated generator comprises:
• one or more first stator teeth having a first axial length that support first windings configured to generate a first level of the electrical energy used by the engine control system;
• and
• one or more second stator teeth having a second axial length that support second windings configured to generate a second level of the electrical energy used by the ignition system, the first axial length different than the second axial length.