I think that this is a little misleading;
Sychronous generators are pretty cool because of their abillity to vary the PF over a given range.
It is the nature of AC systems that the load controls the power factor. If the load demands VARs then VARs will flow. (Actually the current phase angle changes, nothing is "created" but VARs are a mathematical description of current phase angle related to watts that is relatively easy to work with.)
The shifted phase angle may be corrected at the load or at some place on the distribution system with capacitors.
A single, islanded, synchronous generator can not change the phase angle of the connected load. When two or more generators are connected in series, They may be adjusted so that the phase angle of the current through one of them is zero, (unity power factor, no VARs, etc.) The phase angle of all the other generators on the system will then shift to compensate for the machine that is not producing its share of the VARs.
VARs are imaginary, a mathematical fiction.
BUT, express a load in ohms and Henrys, and try to calculate the farads needed to correct the phase angle to 25.8 degrees (PF = 0.9) without ever reducing the numbers to kW, KVA or KVARs. The calculations are so much easier when you use the imaginary VARs to express the phase shift between the current and the voltage, as it relates to the power flowing.
Bill
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"Why not the best?"
Jimmy Carter