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Grades 9–12 · Machines

How can braking return energy to a battery?

Regenerative braking transfers part of a moving vehicle's kinetic energy into electrical storage. The wheels drive an electrical machine in generating operation. Its electromagnetic torque opposes motion, slowing the vehicle while electrical energy flows through power electronics toward the battery.

M34 visual explanationThe vehicle mass is 1,000 kg and the selected speed interval is 20 to 10 m/s. Supplied conversion efficiencies are 80 percent and then 75 percent. The figure traces energy through generation and storage.Braking redirects part of the kinetic energyStoreVehicleGenerator20 → 10 m/s • mass 1,000 kgSupplied efficiencies: 80% then 75%150 kJ decrease; 60 kJ not storedEnergy added to storage: 90 kJ

In the diagramBraking redirects part of the kinetic energyStoreVehicleGenerator20 → 10 m/s • mass 1,000 kgSupplied efficiencies: 80% then 75%150 kJ decrease; 60 kJ not storedEnergy added to storage: 90 kJ

The stated speed reduction removes 150 kilojoules of kinetic energy. Supplied efficiencies of 80% and then 75% leave 90 kilojoules added to storage.

This does not require the wheels to rotate backward. What changes is the direction of energy transfer: the machine receives mechanical energy rather than supplying driving work. Conventional friction braking instead transfers much of the vehicle's lost kinetic energy into thermal energy.

For a 1,000-kilogram vehicle slowing from 20 to 10 meters per second, the translational kinetic-energy decrease is ½m(vi² − vf²) = 150 kilojoules. The illustration assumes that amount reaches the regeneration chain before its specified conversion losses. Its generator and converter pass on 80 percent, giving 120 kilojoules of electrical energy.

A supplied storage efficiency of 75 percent then stores 90 kilojoules. The combined efficiency is 0.8 × 0.75 = 0.6, not the sum of the percentages. Sixty kilojoules of the selected decrease is not stored, preserving the full 150-kilojoule account.

Actual recovery is constrained by available braking torque, battery acceptance, power limits and other losses. The stated efficiencies are explanatory inputs, not a vehicle specification. The mechanism can recover some previously supplied motion energy; it cannot refill a battery without drawing that energy from the vehicle or another source.

About this explanation

Starting knowledge: Use kinetic energy, fractional efficiencies and conservation through several energy-transfer stages.

Sources

  • U.S. Department of Energy Alternative Fuels Data Center — Glossary: Regenerative Braking and Electric Generator
  • OpenStax, Rice University — Physics 9.2: Mechanical Energy and Conservation of Energy
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