Comment by idiotsecant

>generated; while the generators are catching up to that, the voltage drops, which means the current increases to compensate...

Close- you won't see an increase in load of a synchronous machine operating at constant throttle manifest as a voltage sag, you'll see it manifest as a decrease in frequency (this generators literally slow down, like a guy on a bike going uphill). Voltage sags are more related to transmission line phenomenon.