SIMPLORER User Manual V6.0 - FER-a

5.2 Discrete Blocks
• Z-Transfer Function (GZ)
• Integrator (GZ)
• Sample & Hold (SAH)
• Unit Delay (GZ)
• Filter (GZ)
Z-Transfer Function (Discrete)
SIMPLORER 6.0 — Manual 211
� � «Use Pin»
If the box is checked, the input signal is defined by the quantity connected to the pin, otherwise
the value in the text box is used.
Component Parameters
Description [Unit] Parameter Name Data Type
Initial Values Q0[n] real
Input Signal INPUT real
Component Outputs
Description [Unit] Parameter Name Data Type
Block output signal VAL real
>>Basics>Blocks>Discrete Blocks
The Block represents time discrete transfer characteristic G*(z) by a difference equation. The
block can be applied to model discontinuous controllers and processes. Within the dialog you
can define numerator and denominator order and coefficients of the Z-Transfer Function. In
almost all cases of analyzing dynamic processes in controller systems, vanishing initial values
(identical to zero) can be assumed. If this assumption is not fulfilled, initial values can be assigned
to the variables x and y according to the implementation structure of G(z -1 ).
yk ( ) = q0xk ( ) + q1xk ( – 1)
+ … + qnxk ( – n)
– p1yk ( – 1)
– p2yk ( – 2)
– … – pmyk ( – m)
or
Gz 1 –
( )
q0 q1z 1 –
q2z 2 – … qnz n –
+ + + +
p0 p1z 1 –
p2z 2 – … pmz m –
=
-------------------------------------------------------------------------------
+ + + +
Dialog Settings
«Numerator»«Order»
Enter a numerical value (non-negative integer with or without unit suffix) in the text box to
define the numerator order of the z-transfer function. Please note: You cannot define a variable
or expression in this case. Only a number is accepted.
«Numerator»«Coefficient»
Click the «Value» field of the corresponding numerator coefficient Q[n] to define a value.
Common parameter types. Enter a numerical value, a variable, or an expression.