veey well though out plan.
Put expected “load” in the over, stick temperature probe near load, turn on one heater circuit and time how long it takes to change one degree and how long to get to 200. Unplug the power to heater as it hits 200 and log how far past 200 it goes as well as how long the temperature takes to max out.
With those data points you can start to make some rough estimates.
I love the idea of a constantly updating PID setting loop inside a loop inside a loop..
Overshoot will definitely happen.
I wonder if the professor created this assignment to have the student put together all the other information in the course so far ?
The heat will be delivered in joules. That should be measured as the reference for all testing and future use.
The oven should have a known heat loss, conduction, convection and radiant , each will increase with the differential temperature to the surrounding environment.
the mass of the part will be the wild card.
one should run the test as stated with an empty oven, then watch for the decay time as well.
then perform a second test by cutting power before the ceiling temperature (by the overshoot temperature amount) so as to determine at what temperature the power should stopped to allow the natural overshoot to bring the temperature up to the magic number.
The rolling set-point seems to be developed from the theoretical curve for the stated project.
The empty over test would develop the curve on the empty oven. The first real reference.
Put in the part, run the test using the empty oven conditions and see the departure of the curve, develop a second curve for that part. bracket the parameters.
I think one thing overlooked is that air temperature in the oven must be higher than the part temperature. You might get to 1,000 degrees with the part being at 150 degrees. So the point is where you measure. A 1 pound cube of aluminum in a 300 degree environment will heat according to the properties of the part. Getting the skin of a part to temperature is not the same as getting the part core to temperature and wildly different than getting the oven to temperature.
This is why I as asking about what course this is for and what year.
What is the real goal of the assignment ?