A method for calculating PID parameters of a
fluid system including a motor driving a pump, a compressor or a fan, including further a feedback sensor providing a feedback
signal on the
system and a PID regulation controlling the
motor speed. The method includes:after an initial approximation of the
fluid system by a first order
transfer function with
delay where three parameters of the
transfer function of the process to be identified are: K Static
gain, θ
Delay, τ
Time constant,one or more sequences of:a—bypassing the PID regulation and implementing the following processes:a periodic
relay process providing a first point (ω−180; G−180) at −180° of phase named critical point,a periodic
relay with integration process providing a second point (ω−90; G−90) at −90° of phase and,a step injection providing a third point G0 at ω=0° of phase and at null frequency,b—resolving the relevant equations in equation systems according to the points obtained through the processes to calculate the
transfer function parameters available amongK=G0,τ=1ω-180(KG-180)2-1,θ=(tan -1(ω-180·τ)+π)·1ω-180c—applying the transfer function parameters obtained to calculate PID parameters for the
system regulation{Kp=τK·(λ+θ)Ti=τTd=θ