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Will My Ecodial L do the thermal stress check for one conductor of a cable or for all, if there is more than one conductor per phase.

While calculating a circuit (even if there is more than one conductor per phase) Ecodial indicates the thermal stress value for one conductor; it is normal:
 
The standard IEC 60364, Part 4.43: §434 indicate that the thermal stress must be checked with one conductor. (Formula given by the CENELEC Report is shown below).

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