Battery knowledge · Thermal management and heat transfer

Thermal mass

A body’s total heat capacity seen as a buffer against temperature change. A 500 kg pack at about 1 kJ/(kg·K) stores roughly 500 kJ per kelvin, so 10 kW of uncooled heat warms it only about 1.2 K a minute. Together with the thermal resistance to the coolant it sets the pack’s thermal time constant. [1]

Also called
thermal inertia, thermal time constant
Relationship
τ = m·cₚ·R_th

Example

Calculate a thermal time constant

With mass 0.5 kg, cₚ = 900 J/(kg·K) and R_th = 2 K/W, the lumped thermal time constant is 900 s, or 15 min. The calculation assumes a nearly uniform internal temperature.

Explore the graph

Thermal resistance sets the steady temperature rise; thermal mass sets the response time.

Temperature above ambient
Temperature above ambientTime (min) versus Temperature rise (K). Lumped response. Interpretation follows the graphs.001515303045456060Time (min)Temperature rise (K)
Lumped response

Steady rise: 10 K. Time constant: 8.333 min.

ΔT = P R_th [1 − exp(−t / (C_th R_th))]

Illustrative model. C_th = 500 J/K, fixed ambient and heat input, uniform temperature.

Use in Lemonergy

Design protocol or analysis tool

Inspect pack temperature

The separate Charge session can include a lumped thermal node.

Equation or tool to use

  1. Charge session thermal node

    Balances heat and exchange

    Inputs & settings
    • Ambient temperature
    • Thermal mass (J/K)
    • Conductance (W/K)
    • Heater availability

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

  1. Provide thermal mass and conductance.
  2. Compare two ambient temperatures.

Example. 100 kJ/K thermal mass and 100 W/K conductance give a 1000 s no-source temperature-difference time constant.

Observe. Temperature limits can pause charge; heater and mass are separate.

One node does not resolve gradients, coolant geometry or runaway. Studio’s native charger instead uses external temperature.

Open Design → Charge session →

References & further reading

Technical references

  1. A General Energy Balance for Battery Systems

    Dawn Bernardi, Ellen Pawlikowski, John Newman · Journal of The Electrochemical Society · 1985

    Technical reference · Battery energy balance and irreversible and reversible heat contributions. Reduced thermal models require explicit assumptions and current-sign conventions.

Further reading on this topic

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

  1. University Physics Volume 2, §1.6: Mechanisms of Heat Transfer

    OpenStax, Rice University

    Topic background · Conduction, convection, radiation and thermal resistance.