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Main >> Applications >> Sample problems

Thermal relay - QuickField simulation example

Switching temperature and operating time of a thermal relay attached to a hot-liquid tank, including the temperature dependence of winding resistance. With temperature raise the conductivity, current and electromagnetic force fall down.
The tank is cooling down. Calculate the relay switching temperature and time.

Engineering question

How to calculate the switching temperature and time of a thermal relay?

Answer
Model the temperature-dependent winding conductivity in transient magnetics and calculate the electromagnetic force during cooling to determine when the relay switches.

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Typical applications
thermal protection relays, relay windings, temperature-sensitive relays

Thermal relay

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Simulation problem

Problem Type
Axisymmetric problem of transient magnetics.

Geometry

Given
Magnetic permeability of core μ = 400;
Voltage U = 12 V;
Spring force f = 0.8 H
Initial temperature T1 = 200 °C;
Ambient temperature T0 = 20 °C;
Time constant ts = 10 hrs;
Conductivity of copper σ - depends on temperature:

Solution
The temperature falls down as
T(t) = T0 + (T1-T0)·exp( -t / ts).
The integration time was chosen to be 3ts, integration step ts/5.
To calculate the electromagnetic force as a function of time transient magnetic problem is simulated. The temperature function T(t) was added to the material properties of 'winding' block.

Results
After 16 hours the temperature falls down to 56°C and relay switches off.

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