Determining Capacitance of a Three Phase Capacitor Bank 1

Normally you want to work with ohms per phase and then get the capacitance.

Given the 3-phase Mvar and line-to-line kV of the bank, not the nominal p-p voltage

ohms = kV^2/Mvar

You can also take the per phase Mvar and the phase-to-neutral kV rating of the bank and get the same result.

Your second equation for Xc looks OK so just set ohms equal to Xc and solve for capacitance.

I don't recognize your first equation, but this procedure will work.

@magoo2

For example, the nameplate data of the example with a single capacitor has the following data:
10 kVar @ 480 Volts for a 3Ph bank.

So Xc= (0.480)^2 / (10kVar/1000) = 23.04 ohms
Therefore Capcitance= 1/ (Xc*2*pi*60) =0.000115129 Farads or 115.129 uF

So based on the results above did I determine the per phase results or total 3-Ph reactance and capacitance?

After some research, I was able to find the resources below for the estimation of the capacitor bank capacitance for Y and delta configurations which is listed below.

Dear Mr. Wfg42438
"...I have a very basic question on how to determine the capacitance for a 3-Ph capacitor bank...".
Q1. If I am not mistaken this is done using the following equation
C = [Mvar x 10[sup]6[/sup]]/ [2¶f x (V x 10[sup]3[/sup])[sup]2[/sup]] ......(1)
Where:
Mvar is the reactive power in Mvar
Vrms is the rms voltage Line to Line Voltage in kV
f is the frequency in Hz
C is the capacitance in Farad
A1. Equation (1) is correct.
If you look at it with basic unit, it is C= (var)/ ( 2¶f x V[sup]2[/sup])
Equation (2) X[sub]c[/sub] = 1 / (2¶f C ) ... in Ohm, is also correct.
FYI Equation (1) is derived from (2),
where I[sub]c[/sub] = V / X[sub]c[/sub] = V (2¶f C ) ....in A,
therefore (va)= V x I[sub]c[/sub] = V (V 2¶f C ) = V[sup]2[/sup](2¶f C ) .......(3).

Q2. "... what I am unclear on is this capacitance is the total 3-Ph capacitance or the capacitance per phase.
A2. Eqt (1), (2) and (3) are valid for any [single] (individual) piece of capacitor. The V is the voltage across the capacitor. You may treat it as if for [single-phase]. It is NOT 3ph capacitance. Therefore V is = V[sub]LL[/sub] or V[sub]LN[/sub] does not come into the picture yet, see later when on 3-phase system.
Q3. " The reason why I am confused ...."
A3. Refer the Schneider paper, where for a [3ph bank], the Mvar is the [total 3ph value]. The value of each [ three "equivalent" individual piece of capacitor] is calculated depending on whether it is in Y or D formation.
Q4. "... how the calculation is affected when multiple capacitors make up a single Cap bank.
A4. If a 3ph Bank1 is rated 25 var, when connected in [parallel] to another 3ph Bank2 rated 50 var; the total is (25+50=75) var.
Che Kuan Yau (Singapore)