Series Resonant Circuit
For the series R-L-C circuit resonance will occur when the total impedance is purely resistance.
This occurs when XL = XC...
With this We Can Expand This
and 
We Already Know, From the Earlier Discussions, that
and 
and 
And We Allow H to be a Multiple of "F," We Can Force (2) to Look Like this
then changing this to

Reducing this We Get

|
(3)
|
H will be the harmonic multiple to the fundamental.
From an Earlier Paper We Showed the Following

From (3) We Can Come Up with the Systems Harmonic Resonance

|
(4)
|
Where
H = harmonic order...
MVAsc = = available short circuit at the capacitor bank.
MVAR = capacitor bank size.
|
|
|