M atem atica
Industrial
control systems
Matematica/Abstracts
PUTTING KNOWLEDGE TO WORK
Translation/automation of scientific knowledge
from the book shelf
to (computer) code without any compromises according;
flow,energy,valves,pressurelosses,thermodynamics.
PC
copyright (c) 2011 Stefan Rudbäck,
Matematica,+46 708387910,
Matematica
ABB dpns
Energy/Flow
computer
1
Contact;
Matematica
Stefan Rudbäck, civ ing
mail@matematica.se
www.matematica.se
+46(0)708387910
skype; stefan.rudback
copyright (c) 2011 Stefan Rudbäck,
Matematica,+46 708387910,
2
Date: 120515
M atem atica
Matematica/History
Founded >25 years ago by Stefan
Rudbäck, civ ing (m Sc).
First customers;Johnson mek
verkstads AB , production of
standard flowmeters (ex orifice
plates), and AGA (gas production).
copyright (c) 2011 Stefan Rudbäck,
Matematica,+46 708387910,
3
Date: 120515
Matematica/important customers
AGA; Measurement of gasflows
(O2, N2, GNG…).
Söderenergi; Calculation of energy
production in powerplants.
LKAB; Measurement of gasflow.
Siemens; Design of flow meters
and calculations.
copyright (c) 2011 Stefan Rudbäck,
Matematica,+46 708387910,
4
Matematica Natural/Bio gas
Matematica dpns tech
total system unc=0.4%
Matematica hp tech
sys unc<0.7%
Fig showing
Real unc of installed
natural gas flow meters
in Sverige
copyright (c) 2011 Stefan Rudbäck,
Matematica,+46 708387910,
5
1. Complete Matematica GNG hp/GC system at AGA/Nynäshamn
Gas Chromatograph, GC
kg/h
kg
MW
MWh
dp 3
4*T
P (G)
dP
+
Orifice plate
Tube
Gas flow
copyright (c) 2011 Stefan Rudbäck,
Matematica,+46 708387910,
6
1.1 Hardware/transmitters/details
4 points mean value
arrangement of
orifice plate + & pressure tappings
dp-cell/pressure
copyright (c) 2011 Stefan Rudbäck,
Matematica,+46 708387910,
dp-cell/flow
7
rdware/Orifice plate with mv
-tubes (2 gasket design)
Next
bend
Next version
bended up
copyright (c) 2011 Stefan Rudbäck,
Matematica,+46 708387910,
8
1.2 Software part of Matematica hp/GC system at AGA/Nynäshamn
copyright (c) 2011 Stefan Rudbäck,
Matematica,+46 708387910,
9
1.2 Software with input signals from transmitters and
output on computer screens at AGA/Nynäshamn
4*T
dP
dP
kg/h
kg
P (G)+Patm
MW
MWh
GC
copyright (c) 2011 Stefan Rudbäck,
Matematica,+46 708387910,
10
4 important function blocks at AGA/Nynäshamn
2
3
1
5
4
copyright (c) 2011 Stefan Rudbäck,
Matematica,+46 708387910,
11
1. Inside functionblock abstryck_distr
Output=Input! (for signal distr)
copyright (c) 2011 Stefan Rudbäck,
Matematica,+46 708387910,
12
2. Calculation of most probably temp from 4 signals
copyright (c) 2011 Stefan Rudbäck,
Matematica,+46 708387910,
13
2. Double precision non stop technology.
Ex 2; Dpns statistical calc of most probably value
2. Meausure of 4 temps/3 flows in a tube
Failure of transmitter 4/3 = no problem
(compare with simple calc (1+2+3+10)/4=4>>2.146)
T_most_probably
Signal
unlikely
value
T1 T2 T3
copyright (c) 2011 Stefan Rudbäck,
Matematica,+46 708387910,
14
T4
3. Linearization of dp-dignal
20 mA
copyright (c) 2011 Stefan Rudbäck,
Matematica,+46 708387910,
15
3. Linearization of dp-dignal
10% flow
= 1 % dp
=4.16 mA
1.Linear output
from dp-transm
10% flow
= 5.6 mA
2.Sqrt-calc output
from dp-transm
Control system
10% unc
from A/D-conv
A/D-conversion
unc= +-0.1%
of span (16 mA)
Sqrt
Control system
1% unc
from A/D-conv
5% unc
A/D-conversion
unc=+-0.1%
of span
Figure 3 How A/D conv unc can be reduced from 5 to 1% with dp-sqrt-function
copyright (c) 2011 Stefan Rudbäck,
Matematica,+46 708387910,
16
4. Calculation of GNG density
-~1400 lines code
- 0.1% uncertainty
copyright (c) 2011 Stefan Rudbäck,
Matematica,+46 708387910,
17
5. Calculation of GNG summarized
mass flow and energy without underflow
copyright (c) 2011 Stefan Rudbäck,
Matematica,+46 708387910,
18
5. Calculation of GNG summarized
mass flow and energy without underflow
Comment
To avoid underflow the Matematica.Lib Totalizer-block
calculates with>100 numbers.
What¨s underflow?
Example;
Amount threw the pipe last year=
1234567 kg
Amount threw the pipe last second=
+1.234567 kg
computer addition
math addition
= 1234568 kg
= 1234568.234567
.234567 disappears in underflow>20%.
Matematica.Lib totalizer can summarize for hundred years
without underflow.
copyright (c) 2011 Stefan Rudbäck,
Matematica,+46 708387910,
19
Matematica GNG hp system
total uncertainty <0.7% at AGA/Nynäshamn
copyright (c) 2011 Stefan Rudbäck,
Matematica,+46 708387910,
20
Date: 120515
8. How far can You go?
With Matematica master tech
You can;
1. Choose the most advanced master
100% dpns tech system to meet very
high demands.
2. Choose a cost-efficient dpns/hp
system filtered from the master
system, based on Your demands!
copyright (c) 2011 Stefan Rudbäck,
Matematica,+46 708387910,
21
Examples of systems filtered
from the Matematica master tech
1. Matematica master tech
(0.4%, 100%? failsafe).
1. Matematica hp/GC tech
(0.7%, not failsafe).
4. Matematica dpns/density tech
(on demand, partly failsafe).
2. Matematica hp/density tech
(on demand, partly failsafe).
3. Matematica dpns/GC tech
(0.4%, partly failsafe).
copyright (c) 2011 Stefan Rudbäck,
Matematica,+46 708387910,
22
Matematica GNG master system with important functions (simplified graphics)
Temp_meas_1
Temp_meas_2
Temp_meas_3
Temp_meas_4
P_abs_1
P_abs_2
P_abs_2
GC
dpns
temp_meas
Temp
cal
Wf 1,2,3,4
= T maint
alarm
dpns
P_abs
P_abs
maint alarm
G
C
d
e
n
s
c
a
l
c
Density_1
Density_2
d
p
n
s
GC
maint alarm
dp_1
q1
dp_2
q2
dp_3
q3
copyright (c) 2011 Stefan Rudbäck,
Matematica,+46 708387910,
d
p
n
s
q_95_unc
q
q,dp
maint
alarm
23
NEW!!! Matematica fractions-from-density technology.
Pabs
density_calc from GC fractions
T(C)
density_
should
(from
density
transmitter)
Fractions from
GC or keyboard (mean values)
Adjusted fractions->
density_calc=
density_should
copyright (c) 2011 Stefan Rudbäck,
Matematica,+46 708387910,
Calculated
Energy
density
in
GNG
24
Matematica GNG master system energy calc with ffd-tech
(fractions from density) (simplified graphics)
GC molar frac
CH4
C2H6
Density_1,P,T
Density_2,P,T
Fractions
from
density
d
p
n
s
Fractions
from
density
copyright (c) 2011 Stefan Rudbäck,
Matematica,+46 708387910,
GNG energy
MWh
GNG energy
95% unc
25
Date: 120515
Comments Matematica dpns tech
With GNG dpns tech;
1.flow with real 95% unc
2.energy with real 95% unc
is calculated.
3.If a transmitter fails or needs maintenance the production
can continue with an increased q,MW uncertainty.
4.If uncertainty becomes to big the week point can be find
threw the dpns Tx_stat_proc factors.
5.If You know a transmitter failure the dpns manual wf_x can
be put to zero online under production.
copyright (c) 2011 Stefan Rudbäck,
Matematica,+46 708387910,
26
Matematica dpns important
functions ( old version)
1.flow
2.ener
4.IfT1
u
big th
threw
facto
5.When You found a
transmitter failure the dpns
manual wf_x can be put to
zero online under production.
copyright (c) 2011 Stefan Rudbäck,
Matematica,+46 708387910,
27
1. Complete Matematica master/dpns system for natural gas
100% redundancy, 0.4% uncertainty
GC
4*T
P1abs,r1
dp 1
0 11010
P2abs,r2
dp 2
kg/h
kg
MW
MWh
dp 3
0 11010
0 11010
Orifice
dp 3
V-cone
-
Orifice plate
Gas flow
Tube
+
copyright (c) 2011 Stefan Rudbäck,
Matematica,+46 708387910,
28
Matematica GNG mother/dpns system total uncertainty 0.4%
copyright (c) 2011 Stefan Rudbäck,
Matematica,+46 708387910,
29
Matematica 2,5 flowmeter tech
1. Most probably flow plus
real 95% unc calculated.
2. Failsafe. At 1 unnormal signal;
-it will be exp downweighted by normal distr function.
-alarm will be activated, but production continues.
3. Maintenance indicated from system uncertainty
dp 1
Q1,2,3
dp 2
Orifice plate
dp 3
kg/h
kg
MW
MWh
dp 3
V-cone
-
Orifice plate
Gas flow
Tube
+
copyright (c) 2011 Stefan Rudbäck,
Matematica,+46 708387910,
30
Matematica 2,5 flowmeter tech
arrangement of orifice plate dp transmitters
dp 1
dp 2
+
+
-
copyright (c) 2011 Stefan Rudbäck,
Matematica,+46 708387910,
31
Natural gas dpns software
copyright (c) 2011 Stefan Rudbäck,
Matematica,+46 708387910,
32
1. Complete Matematica hp/ffd system for natural
gas. Composition calculated from density
Density transmitter (not GC)
kg/h
kg
MW
MWh
dp 3
4*T
P abs
dp 1
dp 2
Orifice plate
dp 3
V-cone
-
Orifice plate
Gas flow
Tube
+
copyright (c) 2011 Stefan Rudbäck,
Matematica,+46 708387910,
33
copyright (c) 2011 Stefan Rudbäck,
Matematica,+46 708387910,
34
Date: 120515
3. Why Matematica.Lib?
-General and precise code based on latest
standards.
-Measurement & calculation systems
based on Matematica.Lib can be improved
on demand and afterwards with
Matematica.Lib
double precision non stop technology.
copyright (c) 2011 Stefan Rudbäck,
Matematica,+46 708387910,
35
Date: 120515
4. Abstracts/1
4.1. Open design improves
clarity=each parameter is
calculated separate.
4.2. Open design simplifies
error search.
copyright (c) 2011 Stefan Rudbäck,
Matematica,+46 708387910,
36
Date: 120515
4. Abstracts/2
4.3. General & precise code for
-Static precision &
-Dynamic precision
no additional errors from code
at fast signal changes
copyright (c) 2011 Stefan Rudbäck,
Matematica,+46 708387910,
37
Date: 120515
4. Abstracts/3
4.4. Stable code independent of
external environment.
4.5. At ”impossible” signals=>
totalization will be ”freezed”.
copyright (c) 2011 Stefan Rudbäck,
Matematica,+46 708387910,
38
Date: 120515
5. Disadvantages
CPU-time (startup~0,3 s PCS7)
Recommendation;
Dedicated CPU for
Matematica.Lib hp/dpns tech.
copyright (c) 2011 Stefan Rudbäck,
Matematica,+46 708387910,
39