Calculate Thermal Resistance

Thermal resistance Rth is the key parameter in heat sink design. Enter power dissipation and temperature limits: the calculator instantly determines the required Rth.

Why is Thermal Resistance Critical?

Every electronic component has a maximum operating temperature that must not be exceeded. The heat sink must dissipate the generated power loss so that this limit is maintained. Thermal resistance Rth (unit: K/W) describes how efficiently a heat sink achieves this: the smaller the Rth, the more heat can be dissipated at the same temperature difference.

Rth Calculator

Unit of Thermal Resistance: Kelvin per Watt (K/W)

Thermal resistance Rth is expressed in Kelvin per Watt (K/W), equivalent to °C/W. The value indicates how many Kelvin a component heats up per Watt of dissipated power loss. An Rth of 0.1 K/W means: at 100 W power dissipation, the temperature rises by 10 K relative to the cooling medium. The smaller the K/W value, the more capable the heat sink.

Formula and Derivation

ΔT = T_max − T_0

The temperature difference is the maximum component temperature minus the ambient or coolant inlet temperature.

R_th = ΔT / P_V

The required thermal resistance is the temperature difference divided by the power dissipation. Unit: K/W.

Total Thermal Resistance: the Resistance Chain

The calculated Rth is the total thermal resistance from the component to the cooling medium. In practice it is made up of several partial resistances connected in series:

R_th,total = R_th,JC + R_th,CH + R_th,HA
  • R_th,JC – junction to case (junction-to-case, from the component datasheet)
  • R_th,CH – case to heat sink (thermal paste, insulating pad, contact interface)
  • R_th,HA – heat sink to ambient or cooling medium (the part you can design)

Each interface adds up. The heat sink must be designed so that the sum of all partial resistances does not exceed the required total Rth.

Practical Calculation Example

An IGBT module has a maximum junction temperature of 70 °C. The power dissipation is 2,000 W, the cooling water inlet temperature is 20 °C.

  1. ΔT = 70 °C − 20 °C = 50 K
  2. R_th = 50 K / 2,000 W = 0.025 K/W

The required total thermal resistance is 0.025 K/W. This value is only achievable with liquid cooling.

Reference Values: Typical Thermal Resistance by Cooling Type

The following table maps typical Rth ranges to the appropriate cooling technology. It helps you quickly classify the calculated value and choose the right cooling strategy.

Required Rth Suitable Cooling Type Typical Application
> 0.2 K/W Standard air heat sink Low power loss, sufficient installation space and airflow
0.05 – 0.2 K/W High-performance air cooling (Bondfin, Pinfin) Medium power loss, limited installation space
< 0.05 K/W Liquid cooling (Monopress, Structureflow) High power density, IGBT modules, inverters

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