Power system with a coordinated power draw

A power system for a vehicle comprising:

• a gas turbine engine;
• an electric machine rotatable with the gas turbine engine, the gas turbine engine configured to rotate the electric machine to generate electrical power during at least certain operations;
• a power load electrically coupled to the electric machine;
• and
• a controller operable with the gas turbine engine, the electric machine, and the power load, the controller comprising one or more processors and a data storage, the data storage storing instructions that when executed by the one or more processors cause the controller to perform functions, the functions comprising
• receiving a command to operate the power load at a command output power while operating the power load at a reference output power;
• operating the gas turbine engine in a maximum regulator mode to increase a power generation of the gas turbine engine when the command output power is greater than the reference output power or in a minimum regulator mode to decrease the power generation of the gas turbine engine when the command output power is less than the reference output power;
• and
• coordinating an electric machine power draw from the gas turbine engine with a change in power generation of the gas turbine engine to maintain a rotational speed parameter of the gas turbine engine substantially constant while operating the gas turbine engine in the maximum regulator mode or in the minimum regulator mode.