There are many uses for heat tracing. Use may range from freeze protection to process heat input.
I have seen hundreds of heat trace circuits on PID controllers.
Thermostatic control always involves undershoot and overshoot. Process thermal lag may result in temperature swings greater than the differential of the thermostat. Oversized traces may result in even greater temperature swings.
Some products may be damaged by over-temperature.
"The use of thermostats for controlling oversized self regulating circuits shall be avoided"
The specification writer may be aware of real world issues with his plant or similar plants due to oversized trace.
On the other hand, undersized heat trace is common.
Example:
Heating requirements are 15 Watts per foot.
Available trace is 10 Watts per foot and 20 Watts per foot.
Supply 10 Watt per foot trace.
Installation instructions:
Trace shall be installed so as to provide 15 Watts per foot of run.
The trace is installed zig-zag fashion so as to provide 15 Watts per running foot of pipeline.
Extra cost; 150% greater length of trace to be purchased. Extra labour to install zig-zag fashion.
A straight run of thermostatically controlled 20 Watt per foot may be cheaper to buy and install, but the designer does not want that.
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Ohm's law
Not just a good idea;
It's the LAW!