Derivation element

The D element is a transfer element used in closed-loop control technology with a derivative response characteristic. The output signal/potential at output 2 depends on the rate of change of the input signal/potential at input 1. The D element is modelled as an actual D element in this case, also known as a derivative-action element, with first-order time delay, because an ideal D element is technically infeasible. Derivative-action coefficient Kd and delay time T can be adjusted. In order to keep circuit wiring as straightforward as possible, required earthing (0 V) is not led out as a terminal, but rather wired internally.

The output signal’s voltage range is determined by the potential applied to terminals A1 and A2 relative to ground (0 V). If a positive potential is connected to A1 and a negative potential to A2, the available output signal is no greater than the smaller numeric value of the two (example: A1 = +15 V, A2 = -10 V => control range = ±10 V). This can be further limited by means of a parameter, in order to take losses from the control electronics within the component into account.

The component does not generate an output signal unless a minimum potential is connected to both the A1 and the A2 terminals. The value can be adjusted in the advanced settings. If either terminal A1 or A2 is not connected to any potential, the potential of the connected terminal is passed through to the output (4).

This element is based on the element with the same designation from Festo Didactic’s equipment set for Basic principles of control technology (TP 1013).

Adjustable parameters

Designation Range Default value
Derivation gain 1 ... 1000 ms 2
Time constant (PT1) 0.01 ... 100 ms 0.8
Efficiency 0 ... 1 0.9
Minimum voltage 0 ... 10 V 1.5