Battery knowledge · Electrochemistry fundamentals

Supercapacitor

A device that stores charge in the electric double layer on high-surface-area carbon rather than in a reaction. It delivers very high power and lasts a million cycles but stores only a few watt-hours per kilogram.

Also called
ultracapacitor, EDLC

Example

Capacitor charge and energy

At 5 V: 25 C and 62.5 J.

Ideal constant capacitance; leakage, series resistance and voltage rating excluded.

Explore the graph

Charge rises linearly with voltage; energy rises with voltage squared.

Stored charge
Stored chargeVoltage (V) versus Charge (C). Q = CV. Interpretation follows the graphs.006.251.2512.52.518.83.75255Voltage (V)Charge (C)
Q = CV
Stored energy
Stored energyVoltage (V) versus Energy (J). E = ½CV². Interpretation follows the graphs.0015.61.2531.32.546.93.7562.55Voltage (V)Energy (J)
E = ½CV²

At 5 V: 25 C and 62.5 J.

Q = CV; E = ½CV²

Illustrative model. Ideal constant capacitance; leakage, series resistance and voltage rating excluded.

Use in Lemonergy

Lemonergy Studio blocks

Supercapacitor cell worked example

Causal capacitor state with series loss, leakage and stored energy.

Blocks to use

  1. Supercapacitor cell

    Integrates the internal capacitor voltage from discharge current and leakage. A series resistance produces terminal voltage drop and heat. Stored energy uses the internal capacitor voltage.

    Inputs & settings
    • Use the parameter values in the block reference.
    • Bundled example verified on the production release of 28 October 2026.

This overview identifies the components to use. Follow the example in Lemonergy for their connections and settings.

  1. Review the block inputs, units and model limits.
  2. Open the Studio example and run its bundled model.
  3. Compare the output channels with the numerical checks; change one input and run again.

Example. Use the defaults below with Signed discharge current = 1 A. At 0 s, Terminal voltage is 2.45 V. Additional checks are listed below.

Observe. Inspect the outputs and numerical checks on the block reference page.

Constant capacitance, series resistance and leakage. The external interface is causal; voltage- or temperature-dependent parameters are not included. The example verifies numerical behavior for synthetic parameters. Cell characterization and validation for an intended use are separate tasks.

Open Studio example →

References & further reading

Further reading on this topic

These sources provide broader context; they are not presented as citations for every statement in this entry.

  1. Quantities, Units and Symbols in Physical Chemistry, 3rd edition, 2nd printing

    IUPAC · 2011

    Topic background · Physical-chemistry notation, thermodynamics, electrochemistry and transport quantities.