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Corrected transient temperature rise of conductor

This is the corrected transient conductor temperature rise above ambient temperature caused by the change in conductor resistance with temperature during the transient period.

$\theta_{c_0}$ is the conductor temperature at the start of the transient.

Symbol
$\Delta \theta_{c,t,corr}$
Unit
K
Formulae
$\frac{\Delta \theta_{c,t}}{1+\frac{1}{\beta_c+\theta_{c,t,0}} \left(\Delta \theta_{c,t,\infty}-\Delta \theta_{c,t}\right)}$
Related
$\beta_c$
Reciprocal of temperature coefficient of conductor material [K]
$\Delta \theta_{c,t}$
Transient temperature rise of conductor [K]
$\Delta \theta_{c,t,\infty}$
Steady-state temperature rise of conductor [K]
$\theta_{c,t,0}$
Temperature of conductor at transient step [°C]