ElmoMC SimplIQ Software Manual User Manual
Page 217

SimplIQ
Software Manual
13BFilters
MAN-SIMSW (Ver. 1.4)
14-8
14.2.4 First-order Element
(Represented by Second-order Block)
The basic continuous-time single lead-lag element is:
b
s
a
s
a
b
+
+
⋅
The discrete equivalent form is:
⎟⎟
⎠
⎞
⎜⎜
⎝
⎛
−
−
⋅
⎟
⎠
⎞
⎜
⎝
⎛
−
−
β
α
α
β
z
z
1
1
Order Parameter
1
k
1
= 1 - β
2
α
α
β
⎟
⎠
⎞
⎜
⎝
⎛
−
−
=
1
1
2
k
3
k
3
= 0
4
k
4
= 0
For a single pole,
p
s
s
+
⋅
parameters are
pT
e
−
=
=
β
α
,
0
.
Example:
A filter consist of one second-order block and one first-order block. The second-order block
is a notch filter with a 300-Hz notch frequency and a damping of 0.14. The sample time is
360 microseconds. The discrete equivalent of the filter is parameterized by:
k1 = 0.3372, k2 = 0.4573, k3 = -0.7277 and k4 = 0.5222.
The second block is a simple pole with a 400-Hz frequency. It may be represented by:
k1 = 0.1341, k2 = 0, k3 = 0 and k4 = 0.
The KV parameter vector should be programmed as follows:
Parameter Value
Description
KV[0] 100
KV[1]
12
Last index used
KV[2] 16
First
block,
non-scheduled
KV[3]
Float2Par(0.3372)
Parameter 1 (k1)
KV[4]
Float2Par(0.4573)
Parameter 2 (k2)
KV[5]
Float2Par (-0.7277)
Parameter 3 (k3)
KV[6]
Float2Par(0.5222)
Parameter 4 (k4)
KV[7] 16
Second
block,
non-scheduled
KV[8]
Float2Par(0.1341)
Parameter 1 (k1)
KV[9]
0
Parameter 2 (k2)
KV[10]
0
Parameter 3 (k3)
KV[11]
0
Parameter 4 (k4)