Capacitor Hold Up Time Calculator

Plan stored energy with flexible load and voltage inputs. Estimate voltage drop, margins, and runtime. Download clear reports for quick backup design checks today.

Calculator

Example Data Table

Capacitance Voltage Range Load Type Load Efficiency Safety Factor Typical Use
4700 µF 12 V to 9 V Constant Current 0.5 A 90% 1.2 Small control rail
22000 µF 24 V to 18 V Constant Power 10 W 88% 1.25 DC converter input
1 F 5 V to 3.3 V Resistive Load 20 Ω 100% 1.1 Supercapacitor backup

Formula Used

Effective capacitance: Ceff = C × parallel count × usable capacitance percent.

Stored energy: E = 1/2 × Ceff × V².

Available energy: Eavailable = 1/2 × Ceff × (Vhigh² − Vlow²).

Constant current time: t = Ceff × (Vhigh − Vlow) ÷ current ÷ safety factor.

Constant power time: t = Eavailable ÷ adjusted power ÷ safety factor.

Resistive load time: t = Rtotal × Ceff × ln(Vstart ÷ Vend) ÷ safety factor.

ESR sag: voltage drop = current × ESR.

How To Use This Calculator

  1. Enter the capacitor value and select the correct unit.
  2. Add the number of capacitors placed in parallel.
  3. Enter a usable capacitance percent for tolerance and aging.
  4. Add the charged voltage and the lowest allowed voltage.
  5. Select the load type that matches your circuit.
  6. Enter current, power, or resistance as the load value.
  7. Add converter efficiency, ESR, leakage, and safety factor.
  8. Press calculate and review the result above the form.
  9. Download the result as CSV or PDF when needed.

Capacitor Hold Up Time Guide

What Hold Up Time Means

Hold up time is the time a circuit keeps running after input power drops. A capacitor stores energy before the drop. The load then draws that energy until voltage reaches its safe limit. This matters in controls, relays, sensors, converters, and backup rails.

Why Designers Calculate It

A rough capacitor choice can fail during short brownouts. It can also waste board area and cost. This calculator gives a practical estimate before testing. It includes capacitance derating, voltage limits, load type, efficiency, ESR, leakage, and design margin. These options help compare real parts, not only ideal values.

Key Inputs

Start with the total rated capacitance. Choose the unit and enter parallel capacitor count. Add a usable capacitance percent. This can cover tolerance, aging, temperature, and bias effects. Then enter the charged voltage and the minimum operating voltage. The difference between these voltages drives the useful time. A higher starting voltage stores much more energy. A lower shutdown voltage also increases available energy.

Load Behavior

Constant current loads are simple. The current stays fixed as voltage falls. Constant power loads are different. They draw more current at lower voltage. That makes the final part of discharge harder. Resistive loads draw less current as voltage falls. Their discharge follows a logarithmic curve. Pick the load type that best matches your circuit.

Losses And Margins

Efficiency adjusts load demand when a converter is used. ESR creates voltage sag and heat. Leakage slowly drains the capacitor. A safety factor reduces the reported time. This makes the estimate less optimistic. It is useful when temperature or part aging is uncertain.

Practical Use

Use this tool for early sizing. Then check the result against datasheets and tests. Capacitors may have wide tolerance. Electrolytic parts age over time. Ceramic parts can lose capacitance under DC bias. Supercapacitors need voltage balancing and leakage review. Always verify ripple current, voltage rating, polarity, and surge limits. For critical equipment, test the real board with the real load.

Reading The Result

Read the result as an engineering estimate. If the required time is close to the value, choose a larger capacitor bank. Extra margin protects startup delays, relay chatter, and supply dips.

FAQs

What is capacitor hold up time?

It is the time a circuit stays powered after supply voltage is removed or reduced. The capacitor discharges into the load until the voltage reaches the minimum usable level.

Why does voltage range matter so much?

Capacitor energy depends on voltage squared. A higher starting voltage greatly increases stored energy. A lower minimum voltage also increases usable discharge time.

What load type should I choose?

Choose constant current for fixed current loads. Choose constant power for converters and regulated loads. Choose resistive load for heaters, lamps, or simple resistor loads.

What is usable capacitance percent?

It is the practical part of rated capacitance. It can account for tolerance, aging, temperature, DC bias, and design derating. Use a lower value for conservative design.

How does ESR affect hold up time?

ESR causes voltage drop when current flows. This reduces the useful voltage range. It can also create heat and reduce effective backup performance.

Should leakage current be included?

Yes. Leakage current can be important with large capacitors, long backup times, or supercapacitors. It slowly drains stored energy even when the main load is small.

Is this result exact?

No. It is an engineering estimate. Real capacitors vary with age, temperature, voltage, and frequency. Always test the real circuit for important designs.

Can this calculator be used for supercapacitors?

Yes, if the voltage rating, balancing, leakage, ESR, and safety limits are handled correctly. Supercapacitors often need extra review before final use.

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