Do you know how the generator works? This is a device that converts mechanical energy into electrical energy. The coil inside rotates in the magnetic field to produce induced electromotive force, which is the so-called electric energy that we can use. When the coil is subjected to magnetic force in the magnetic field, it produces induced electromotive force, which hinders the rotation of the coil. This is why the rotation of the generator coil needs new power to maintain this rotation. Just as hydropower uses the impact of water rushing down, thermal power uses steam. Once the coil and magnetic field are missing, the coil will stop. Under the condition that the coil and magnetic field are fixed, the faster the rotating speed, the more electric energy is obtained per unit time. In other words, the more electric energy is generated by the generator, but the greater the magnetic field force that prevents the coil from rotating, the greater the driving force to maintain this rotation.
LZ only considers force, and you have learned the principle of leverage. It takes a long time to save labor, and there is no lever to save labor. The driving force mentioned above refers to work. In addition, changing to a pinion will not increase the speed of the coil, just like shifting gears in a car. If you want to change gears quickly, you actually change the gear connected to the axle from large to small. The engine speed is constant, so the gear connected to the pinion is faster. So the car drives very fast, but at the same time you find that the fuel consumption of the car has increased. The fuel consumption here refers to the work done to the car. The work you do to the engine by burning gasoline is the same as the driving force mentioned above.
Super generators don't exist. Generator is an energy conversion tool. LZ certainly hasn't learned the law of conservation of energy. The engine should consider the efficiency of energy conversion, that is, the efficiency of the generator, which itself will not produce energy.
Let me tell you something about work. Work W=F*S is the displacement in the direction of force. Lever can't save work, labor and distance, but the product of force and distance is certain.