Instruction Manual

Step response:
After a step change of input variable x1 by {x =xt-x(t-ts), the
output changes to maximum value y
max.
yCaxy
max
=×× +D 0
and decays to 0 according to function
ynts C x y ymax C
n
n
(. ) .
()
=× += ×
-
D 0
1
Thereby, n is the number of calculation cycles ts after the input
step change. Number n of required calculation cycles ts until
output variable decaying to y(n*Ts) is
n
lg
yn ts
ymax
lgC
=
×
+
()
1
Surface area A under the decaying function is
Ay Tts=×+
max
()
Ramp response:
After ramp starting, output variable y runs towards the final
value of differentiation quotient
ymaT
max
=××
according to function
yn ts m a T C
n
() ( )×=×××-1
Thereby, m =
m
dx
dt
=
is the gradient factor of the input func-
tion. Relative error F after n calculating cycles Ts referred to
the final value is calculated as follows:
F=C
n
and the number of required calculating cycles, according
to which function
yn ts()×
approaches final value
y= y
max
to error F is
n
F
C
=
×
lg
lg2
Time functions 9499-040-82711
III-125 LEAD ( differentiator (No. 50))
Fig. 4
s
Fig. 5