numerical time constant
DESCRIPTION
Numerical Time ConstantTRANSCRIPT
∆h
PV-1
PVo
PV1
to t1t-1
old s.s.base line
Td
∆ h
Tnss
= data points
New s.s. base line
Numerical formulation for time constant, Tc:
Based on the fact that any point along a straight line has similar slope’s value; hence,
*(Tnss , PVnss)
Tc
dnssc TTT −=
11
11
1
1
−
−
−−
=−−
ttPVPV
tTPVPV
nss
nss
( ) ⎟⎟⎠
⎞⎜⎜⎝
⎛−−
−+=−
−
11
1111 PVPV
ttPVPVtT nssnss
),(),( 11 PVtatslopePVTatslope nssnss =
Numerical Analysis on openloop process response data
**UNPUBLISHED MATERIAL**- INTERNAL USE ONLY