How about a different explanation?
A generator (and other sources) has a given power capability. Just like a dual-voltage motor or transformer, there is more than one set of output windings that can be connected together in different ways.
Think of a pair of flashlight batteries, each with a 1.5v output and, let's say, a 1a current capacity. If you connect them in parallel, you have a 1.5v, 2a supply; if you connect them in series, it's 3v at 1a.
Both of those connections can supply as much as (since P = E x I, either 1.5 x 2 or 3 x 1) three watts of power. The generator is the same way. The output voltage depends on the various internal connections.
Obviously, the only generator output voltage you care about is that which matches your loads, and the current capacity at that voltage is the most you can supply. If it's not enough, you need a larger unit.