Hey all. I sure hope somebody can assist with this!
I am a hobby beer brewer and am writing my own heat control algorithms. Part of the process involves heating water to a desired temperature setpoint. I'm using an electric water heater element (5500W) inside the water vessel (~5-10 gal). I can pulse the heater element for a desired duty cycle (0 to 100%). The vessel is not well insulated as to allow quicker recovery from a temperature overshoot. Precise temperature control within about 1F is my goal.
Let's say that I apply 20% duty cycle. Over a VERY LONG time (hours) , the temperature stabilizes at say 127F. The curve is similar to a cooling curve but it rises toward an "asymptote" which is the steady state. I believe it is logarithmic.
My question is this- how can I predict the steady state with a few minutes of data instead of waiting hours upon hours?
Thanks in advance !!!