shown below are my notes (questions) from your "part3" figure ...
I'm just guessing – but did you just "sketch in" the Control Variable (% power) trend? ...
suggestion: click the link below my signature – get my email address and send me the RSP file ... then give me a call (the phone number is available through the link) and I'll try to help you with this ...
you've also made a note on your "part4" figure that is troubling ... you mention that some "heavier than standard parts" were run through the furnace during the bump test ... that's a problem ... the purpose of the bump test is to experimentally ascertain the characteristics of the process ... it's ok to have a "load" on the system – but the load should remain STEADY throughout the test ... specifically, CHANGING the load during the test will defeat the purpose of the experiment ...
anyway ...
I've got a little bit of spare time today – give me a call if you like ... (it would be best if I had the RSP file for about ten minutes before you call) ...
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PID values calculated from bump test were tried out. results shown in attached graph for before and after change. new values are causing excessive oscillations.