Variable cycle compensation in a gas turbine engine

A method of variable cycle compensation in a gas turbine engine, the method comprising:

• adjusting, by a controller during an acceleration or thrust oscillation event, an electric component to compensate for a power change induced by an actuation system by operating the electric component as an electric motor to compensate for an increase in power absorption or a decrease in power production of a turbomachinery of the gas turbine engine responsive to the acceleration or thrust oscillation event, wherein the turbomachinery comprises at least one compressor section and at least one turbine section operably coupled to a shaft of the gas turbine engine, the actuation system is configured to adjust a variable cycle of the turbomachinery by adjusting power absorption or power production, and the electric component is configured to add or subtract torque to the shaft;
• and
• operating the electric component as an electric generator to compensate for an increase in power production or a decrease in power absorption of the turbomachinery, wherein compensation provided by operating the electric component provides a power adjustment until a spool speed driven by the at least one turbine section of the gas turbine engine changes to catch up with the power change induced by the actuation system, wherein the electric component is operable to respond with a faster rate of change than the actuation system.