independent control of active and reactive powers. What is the advantage of this? Please give some examples where independent control of active and reactive power is not there.
If you take a thyristor based HVDC, as you vary the active power, the ignition angle of the valve change. This results in varying the phase of the current and generated reactive power, which then need to be compensate using capacitor bank. (In this case active power is controlled and reactive power is compensated)
In HVDC light, or any other VSC, you can set the angle and the amplitude of the generated voltage. By changing the phase, you can control active power without changing reactive power. The equation look something like that ,if I remember right
P=(V1-V2)*cos(phi)/X
Going to dq0 reference, you can control active power with d and reactive power with q.
need more detail, I suggest to read the book of Kundur.