Time ConstantSnapshot of the front panel of the simulator:
Description of the system to be simulatedIn this lab the step response of a general or standard first order system is simulated (that is, the time response on the output of the system is calculated numerically). A mathematical model of the first order system is the following differential equation:
where
An alternative way of representing this model is by Laplace transforming the differential equation, and taking the ratio of output to input (in the Laplace domain), to get the transfer function from input u to output y:
Aim of this labThe aim is to develop both a qualitative and a quantitative understanding of the impact that the gain K and the time-constant T, and the step input height U have on the step respons of a first order system. MotivationFirst order systems constitute an important class of dynamic systems: Many physical systems behave (approximately) as first order systems, e.g. stirred liquid tanks, motors, and sensors. And a very common lowpass filter algorithm is a first order system. TasksNote: The equality sign "=" in the following text can be regarded as "approximately equal to" (so that you do not have to enter exact numeric values).
Updated 12. January 2008. Developed by Finn Haugen. E-mail: finn@techteach.no. |