Most PID's control power output by using Pulse Width Modulation (PWM.) For example, if the cycle time is 2 sec, then
@100% power the output is on full time
@75% power the output is on for 1.5 sec and off for 0.5 sec
@50% power the output is on for 1.0 sec and off for 1.0 sec
@25% power the output is on for 0.5 sec and off for 1.5 sec
@10% power the output is on for 0.2 sec and off for 1.8 sec
When the system is heating up, the power will typically be at 100%. As the temp gets closer to the setpoint, the power is reduced to prevent overshooting. When you reach the setpoint the power is set at a level just high enough to keep the temperature constant, but will still be pulsing on and off.
The PWM cycle time is a settable parameter in the PID. For brewing use, especially RIMS, the cycle time should be set to the minimum allowed by the PID, usually 1 or 2 seconds.
PID stands for Proportional, Integral, and Differential. The PID algorithm is a mathematical formula that determines what level to set the power output. The proportional component sets the power output based on the difference between the current temperature and the setpoint. The further below the setpoint, the higher the output. The Integral component compensates for an offset between the steady state temp and setpoint. The differential component causes the output to be higher the slower you are approaching the setpoint, and lower the faster you are approaching the setpoint. This helps prevent overshooting the setpoint.
Brew on