Power Electronics
Model class: Exact ideal relationship
Supercapacitor energy and runtime planner
Calculate usable supercapacitor energy and estimated runtime for a constant-power discharge between two voltages.
Interactive engine
Start with the stated conditions.
Values stay in this browser. Choose a representative scenario, then calculate deliberately.
Example ready
Calculate to inspect the result.
The result will identify the direct answer, assumptions, and any warning that changes the next decision.
How much does each input matter?
Each row holds every other input fixed at its current value and moves one input by ±10%, using the same model as the main result. It identifies which input is the binding lever, not a full tolerance stack.
Assumptions to check
- The entered supercapacitor-runtime values represent the stated operating condition.
- This exact ideal relationship is evaluated in the declared lumped or first-pass model.
- A supercapacitor-runtime calculation is not a component qualification or safety approval.
What this supercapacitor-runtime calculation establishes
Calculate usable supercapacitor energy and estimated runtime for a constant-power discharge between two voltages. The useful result is the stated electrical quantity and the decision it supports, not an unstated claim about a finished product. This engine keeps the governing relationship visible so an input, unit, condition, or model boundary can be reviewed before a value becomes a component or layout choice.
Usable ideal energy is one-half capacitance times the difference of start and end voltage squared; runtime divides that energy times delivery efficiency by load power. Treat the number as a first-pass result for the declared operating point. When a source, load, temperature, frequency, waveform, component tolerance, or measurement condition changes, repeat the calculation at the relevant corner rather than assuming the nominal answer persists.
Worked decision context
10 F from 5 V to 3 V stores 80 J usable ideal energy; at 10 W and 90% delivery efficiency that is 7.2 s. That example verifies the equation and illustrates the scale of the result, but it does not select a part by itself. Compare the result with available values, ratings, tolerance bands, and the receiving circuit or physical environment before implementation.
Use the primary output to identify the binding constraint. If it leaves little margin, document which input dominates and use selected-part data, a higher-fidelity model, simulation, or measurement. This is especially important when a small numerical difference changes a thermal, timing, noise, or reliability decision.
Limits and validation handoff
This omits the ESR voltage step and assumes one constant delivery efficiency across the discharge. A real ESR step reduces usable voltage swing at the start of discharge. The calculation does not silently include omitted parasitics, installation conditions, manufacturing variation, or product policy. Those conditions can be decisive even when the arithmetic is exact for the selected model.
Record inputs, units, model assumptions, and the intended decision with the result. Verify the leading risk against the selected component data sheet and a representative measurement when the circuit has consequential energy, high voltage, safety, compliance, or reliability requirements.
Common mistakes
- Treating the supercapacitor-runtime result as a guaranteed operating limit rather than a first-pass exact ideal relationship estimate.
- Mixing a data-sheet value measured under one condition with this supercapacitor-runtime calculation performed at another.
- Selecting a component before checking the boundary this calculation names: this omits the ESR voltage step and assumes one constant delivery efficiency across the discharge. A real ESR step reduces usable voltage swing at the start of discharge.
Model limit and handoff
Keep the entered supercapacitor-runtime conditions with the calculation, then validate the binding limit using the selected component, physical implementation, and representative operating corner.
FAQs
Is this supercapacitor-runtime result sufficient to approve a design?
No. It applies exact ideal relationship reasoning to the entered supercapacitor-runtime values and names the checks that still need selected-part data, a higher-fidelity model, or measurement. This omits the ESR voltage step and assumes one constant delivery efficiency across the discharge. A real ESR step reduces usable voltage swing at the start of discharge.
What does this supercapacitor-runtime calculator assume that could make the result wrong?
Usable ideal energy is one-half capacitance times the difference of start and end voltage squared; runtime divides that energy times delivery efficiency by load power. If the entered values do not match the real operating condition, the result no longer describes the actual circuit.
Where should this supercapacitor-runtime result go next?
Compare this supercapacitor-runtime result with Battery and stored-energy estimate limits, then use the stated next decision below the calculator to move from this first-pass number toward an implementation.