Actually, the alternator is whats called a current source, in other words, it outputs current (think amperage) the "voltage regulator" monitors the voltage, and when it becomes less than 13.8 volts (same for all alternators) it will increasing the voltage to the alternators field winding, increasing the magnetic flux and therefore increasing the current generated. if you disconnected the load from an alternator, it's voltage would spike very, very high because the current would want to maintain and the voltage would just increase until the load was the same (sort of the way a cars coil makes spark when the points disconnect) likewise, as the voltage rises above 13.8 volts, the field voltage is decreased by the regulator, regulating the voltage at 13.8 volts, hence the name regulator.
think of the alternator as a guy pushing a shopping cart, the guy wants to push the cart at a continuous speed, but if you put something heavy in the cart he has to push much harder to make it go the same speed, likewise if you were to somehow take it out instantly, the cart would go shooting forwards. well, in this analogy speed is voltage, force applied to the cart is current (or amperage) and weight in the card is load on the electrical system.