Calculation to solve for capacitance and joules, when I, dVTotal, td, and ESR are all known.
Stack Size and Capacitance
Number of capacitors in stack
Stack Capacitance (farads)
Capacitor Voltage Rating
Capacitor Size (farad)
Calculation to solve for dvTotal, when I, td, C and ESR are known.
dVTotal = I *td/C + I * ESR
(change in voltage)
Calculation to solve for td, when I, dVTotal, C, and ESR are known.
td = C ((dVTotal - I * ESR))/I
I = Current in Amps
dvTotal = Vstart- Vend, The change in voltage, from the start to end of the discharging time.
Vstart = Initial voltage
Vend = Ending voltage
C = Capacitance in Farads
ESR - Equivalent Series Resistance in Ohms
ΔT = Derating factor, which is substracted from the maximum temperature specification of the capacitor.
= Thermal resistance case to ambient
Calculation assume a constant current.