Battery knowledge · Capacity, energy, power and ratings

Voltage efficiency

Average discharge voltage divided by average charge voltage over a cycle. The gap comes from resistance, overpotential and hysteresis, so voltage efficiency falls as current rises. Multiplied by coulombic efficiency it gives energy efficiency; a lithium-ion cell at moderate rate reaches about 95 %, a vanadium flow battery often only 80–90 %.

Abbreviation
VE
Also called
voltaic efficiency
Unit
%
Relationship
VE = V̄_discharge / V̄_charge; EE = CE × VE

Example

Combine charge and voltage efficiency

If average discharge voltage is 3.5 V and average charge voltage is 3.8 V, voltage efficiency is about 92.1%. With a matched-cycle coulombic efficiency of 99%, energy efficiency is about 91.2%.

Explore the graph

Returning most of the charge does not return the same fraction of energy.

Recovered energy
Recovered energyEnergy put in (Wh) versus Energy recovered (Wh). Ideal 100%; Selected efficiencies. Interpretation follows the graphs.00252550507575100100Energy put in (Wh)Energy recovered (Wh)
Ideal 100%Selected efficiencies (dashed)

99% × 92% = 91.08% energy efficiency.

η_energy = η_charge × V̄_discharge / V̄_charge

Illustrative model. Matched cycle and measurement boundaries; auxiliary loads omitted.

Use in Lemonergy

Separate nameplate ratings from test results.

This is a reference concept. No executable Lemonergy block has been verified for this term.

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. The International System of Units (SI), 9th edition

    Bureau International des Poids et Mesures · 2026

    Topic background · Definitions of SI units and coherent derived units; 2026 revision.

  2. Battery Test Manual For Electric Vehicles, Revision 3

    Jon P. Christopherson · Idaho National Laboratory · 2015

    Topic background · Performance characterization, pulse resistance/power, life testing and reference performance tests; historical 2015 edition.