Selection Guide
How to Calculate Capacitance for Backup Power Applications
Size supercapacitor capacitance for hold-up and backup: constant-current and constant-power formulas, tolerance, aging margin, and a worked example.
Updated 2026-10-28 · 9 min read
The challenge
Undersized capacitance causes brown-outs at end of life; oversized capacitance costs volume, money, and charge time. The goal is the smallest capacitance that still meets the requirement at the worst corner: cold, aged, and at minimum tolerance.
Constant-current loads
C = I · t / (V1 − V2)
Use this when the load draws a roughly fixed current directly from the capacitor (e.g. a linear regulator or a resistive load).
Constant-power loads
C = 2 · P · t / (η · (V1² − V2²))
Behind a DC/DC converter, current rises as voltage falls. Size by energy and include converter efficiency η.
Add margins
- Capacitance tolerance (check datasheet; e.g. −10%)
- End-of-life loss (often specified as −20% to −30% of initial)
- Low-temperature reduction
- ESR drop, which reduces the usable window
Worked example
A gateway needs 3 W for 8 s. The buck-boost converter works down to 1.8 V. Supply is 5.0 V (two cells in series). Efficiency is 88%.
C = 2·3·8 / (0.88·(25 − 3.24)) ≈ 2.5 F. With 30% end-of-life and 10% tolerance margin: 2.5 / (0.7·0.9) ≈ 4.0 F at 5 V, i.e. two ~8 F cells in series.
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