I didn't test anything yet but according to the hysteresis definition.
it should be in short => how much degrees it should differ before it takes a decision to do something about the temp ( be it heating or cooling )
an example to understand hysteresis with a heater
target is 78 and we have a hysteresis of 1 degree.
current value is 76 => temp to low => heater on => it reaches 78 and then it still heats until it measures 78+1 degree hysterersis. => now the heater is off. then the water cools again and it hits 78 again , it needs to sinks until 78 -1 (hysteresis) before it starts heating again.
+++77***78***79---
+ its always heating
- its does nothing
* heating or doesnothing depending on the trend of the temperatuur (being lowering or warming up)
so in fact you have a 'zone' between 77 - 79 where its either heating or it does nothing but its only on the (target + or - hysteresis) value where it will deside to either stop heating or start heating.
so now you should understand that your hysteresis should be rather low (but not zero, then it will constantly toggle the heating on or off )
if you make it to large you can either overheat or 'underheat'
your water because your heater /cooler have a certain latency before it have any effect.
For the term cooling diff I don't know how they apply it because it's not a term like hysteresis. but I would expect that it should be and extra threshold 'around' the target before it either cools or heats. or if it starts cooling it cools until the cooling difference is reached (+ hystersis) before it turns the cooler off.
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