The process time constant is the time that it takes a process variable to reach 63.2% of its final value.[^1] It is a simplified version of the linear first-order differential equation:[^1]
$$y(t)=(e^{-\frac{t}{\tau_p}})y(0)+(1+e^{-\frac{t}{\tau_P}})K_P\Delta u$$
with the initial conditions \(y(0)=0\) and \(t=\tau_p\) .[^1]
$$y(t)=(e^{\frac{-t}{\tau_p}})K_P\Delta u=(1-e^{-1})K_P\Delta u=0.632K_P\Delta u$$
[[Gas Turbine Engine Performance]] – jet engine turbines have a time constant around 0.5 to 1 s.
[[Actuator Time Constant Reduction]]
[[X-29 Canards]] – actuators had a time constant of 0.05s
[[Motor Drive Design Difficulties]] – fast or slow time constant affects controller
[[Motor Drive Designs]] – time constants are important to consider when designing a motor controller
[[Electrical Time Constant]]
[[Mechanical Time Constant]]
[[Hassenstein-Reichardt Detector]] – used a LPF with a time constant
[[Sliding Mode Controller]] – time constants can limit the controller to a lower switching frequency
[[Function 100]] – speedbrake extend time constant is less than the speedbrake retract time constant
- FirstOrderDead
- sriyudthsakMathematicalModelingDynamic2016
Backlinks:
[[First Order Plus Dead Time]]
[[First-Order Systems]]