You mean synchronous generator, do you ?
Output of generator depends on two things: mechanical power input (torque on shaft) and excitation current.
With increase of output reactive power the output voltage is increasing too (other parameters const.). This is due to magnetic field behaviour in the machine (in opposite situation, decrease output reactive power, voltage drops).
Why increasing excitation voltage will increase reactive power output ? Increasing excitation volatege will increase excitation current, obvious. Higher current means stronger excitation field which will interact with stator field. This affects angle between stator and rotor fields (stator current and voltage phasors aswell which affects power factor).
In general: this all comes from synchronous machine construction. It's behaviour can be observed on it's regulation and output diagrams.
"If an experiment works, something has gone wrong"