copyright (c) 2011 Stefan Rudbäck, Matematica,+46 708387910, [email protected], matematica.se sid
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Matematica/HistoryFounded >25 years ago by Stefan Rudbäck, civ ing (m Sc).
First customers;Johnson mek verkstads AB , production ofstandard flowmeters (ex orifice plates), and AGA (gas production).
M a tem a t ic a
copyright (c) 2011 Stefan Rudbäck, Matematica,+46 708387910, [email protected], matematica.se sid
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MatematicaABB dpns Energy/Flow computer
Matematica/AbstractsPUTTING KNOWLEDGE TO WORKTranslation/automation of scientific knowledge from the book shelf to (computer) code without any compromises according; flow,energy,thermodynamics.
M a tem a t ic a
PC
Industrialcontrol systems
copyright (c) 2011 Stefan Rudbäck, Matematica,+46 708387910, [email protected], matematica.se sid
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Matematica/important customersAGA; Measurement of gasflows (O2, N2, GNG…).Söderenergi; Calculation of energy production in powerplants.Siemens; Design of flow metersand calculations.
copyright (c) 2011 Stefan Rudbäck, Matematica,+46 708387910, [email protected], matematica.se sid
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Matematica dpns techtotal system unc=0.4%
Matematica hp techsys unc<0.7%
Fig showingReal unc of installednatural gas flow metersin Sverige
Matematica Natural/Bio gas
copyright (c) 2011 Stefan Rudbäck, Matematica,+46 708387910, [email protected], matematica.se sid
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Gas Chromatograph, GC
1. Complete Matematica GNG hp/GC system at AGA/Nynäshamn
Gas flow
Tube
kg/hkgMWMWhdp 3
P (G)
Orifice plate
4*T
+ -
dP
copyright (c) 2011 Stefan Rudbäck, Matematica,+46 708387910, [email protected], matematica.se sid
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1.1 Hardware/transmitters/details
dp-cell/flowdp-cell/pressure4 points mean value arrangement of orifice plate + & - pressure tappings
copyright (c) 2011 Stefan Rudbäck, Matematica,+46 708387910, [email protected], matematica.se sid
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1.1 Hardware/Orifice plate with mv impuls-tubes
Next versionbended up
Next versionbended up
copyright (c) 2011 Stefan Rudbäck, Matematica,+46 708387910, [email protected], matematica.se sid
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1.2 Software part of Matematica hp/GC system at AGA/Nynäshamn
copyright (c) 2011 Stefan Rudbäck, Matematica,+46 708387910, [email protected], matematica.se sid
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1.2 Software with input signals from transmitters and output on computer screens at AGA/Nynäshamn
dP
4*T
P (G)+Patm
kg/hkg
MWMWh
dP
GC
copyright (c) 2011 Stefan Rudbäck, Matematica,+46 708387910, [email protected], matematica.se sid
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4 important function blocks at AGA/Nynäshamn
2
3
4
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copyright (c) 2011 Stefan Rudbäck, Matematica,+46 708387910, [email protected], matematica.se sid
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1. Inside functionblock abstryck_distr
Output=Input! (for signal distr)
copyright (c) 2011 Stefan Rudbäck, Matematica,+46 708387910, [email protected], matematica.se sid
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2. Calculation of most probably temp from 4 signals
copyright (c) 2011 Stefan Rudbäck, Matematica,+46 708387910, [email protected], matematica.se sid
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T1 T2 T3T4
T_most_probably
2. Meausure of 4 temps/3 flows in a tubeFailure of transmitter 4/3 = no problem(compare with simple calc (1+2+3+10)/4=4>>2.146)
2. Double precision non stop technology.
Ex 2; Dpns statistical calc of most probably value
Signal unlikelyvalue
copyright (c) 2011 Stefan Rudbäck, Matematica,+46 708387910, [email protected], matematica.se sid
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3. Linearization of dp-dignal
20 mA
copyright (c) 2011 Stefan Rudbäck, Matematica,+46 708387910, [email protected], matematica.se sid
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1.Linear outputfrom dp-transm
A/D-conversionunc= +-0.1%of span (16 mA)
Sqrt
Control system10% flow= 1 % dp=4.16 mA
10% uncfrom A/D-conv
5% unc
2.Sqrt-calc output from dp-transm
A/D-conversionunc=+-0.1%of span
Control system10% flow= 5.6 mA
1% uncfrom A/D-conv
Figure 3 How A/D conv unc can be reduced from 5 to 1% with dp-sqrt-function
3. Linearization of dp-dignal
copyright (c) 2011 Stefan Rudbäck, Matematica,+46 708387910, [email protected], matematica.se sid
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4. Calculation of GNG density -~1400 lines code- 0.1% uncertainty
copyright (c) 2011 Stefan Rudbäck, Matematica,+46 708387910, [email protected], matematica.se sid
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5. Calculation of GNG summarizedmass flow and energy without underflow
copyright (c) 2011 Stefan Rudbäck, Matematica,+46 708387910, [email protected], matematica.se sid
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CommentTo avoid underflow the Matematica.Lib Totalizer-blockcalculates with>100 numbers.What¨s underflow?Example;
Amount threw the pipe last year= 1234567 kgAmount threw the pipe last second= +1.234567 kg computer addition = 1234568 kg math addition = 1234568.234567
.234567 disappears in underflow>20%.
Matematica.Lib totalizer can summarize for hundred yearswithout underflow.
5. Calculation of GNG summarizedmass flow and energy without underflow
copyright (c) 2011 Stefan Rudbäck, Matematica,+46 708387910, [email protected], matematica.se sid
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Matematica GNG hp system total uncertainty <0.7% at AGA/Nynäshamn
copyright (c) 2011 Stefan Rudbäck, Matematica,+46 708387910, [email protected], matematica.se sid
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Date: 120215
8. How far can You go?With Matematica master tech You can;1. Choose the most advanced master100% 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, [email protected], matematica.se sid
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1. Matematica master tech (0.4%, 100%? failsafe).
4. Matematica dpns/density tech (on demand, partly failsafe).
3. Matematica dpns/GC tech(0.4%, partly failsafe).
2. Matematica hp/density tech (on demand, partly failsafe).
1. Matematica hp/GC tech(0.7%, not failsafe).
Examples of systems filteredfrom the Matematica master tech
copyright (c) 2011 Stefan Rudbäck, Matematica,+46 708387910, [email protected], matematica.se sid
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Matematica GNG master system with important functions (simplified graphics)
dpnstemp_meas
Temp_meas_1
P_abs_1
GC
Temp_meas_2
Temp_meas_3
Temp_meas_4
Tempcal
Density_1
Density_2
dp_1
P_abs_2
P_abs_2
dpnsP_abs
dp_2
dp_3
GCdenscalc
dpns
q1
q3
q2
dpns
q
GCmaint alarm
P_abs maint alarm
Wf 1,2,3,4= T maint alarm
q,dpmaintalarm
q_95_unc
copyright (c) 2011 Stefan Rudbäck, Matematica,+46 708387910, [email protected], matematica.se sid
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NEW!!! Matematica fractions-from-density technology.
Fractions from GC or keyboard (mean values)
Adjusted fractions->density_calc=density_should
density_calc from GC fractions
density_should (from density transmitter)
CalculatedEnergydensityinGNG
Pabs
T(C)
copyright (c) 2011 Stefan Rudbäck, Matematica,+46 708387910, [email protected], matematica.se sid
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Matematica GNG master system energy calc with ffd-tech (fractions from density) (simplified graphics)
GC molar frac
Density_1,P,T
Density_2,P,T
dpns
GNG energyMWh
Fractionsfromdensity
CH4
C2H6
GNG energy95% unc
Fractionsfromdensity
copyright (c) 2011 Stefan Rudbäck, Matematica,+46 708387910, [email protected], matematica.se sid
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Date: 120215
Comments Matematica dpns techWith GNG dpns tech;1.flow with real 95% unc2.energy with real 95% uncis 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, [email protected], matematica.se sid
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T1
1.flow with real 95% unc2.energy with real 95% unc
4.If uncertainty becomes to big the week point can be find threw the dpns Tx_stat_proc factors.
5.When You found a transmitter failure the dpns manual wf_x can be put to zero online under production.
Matematica dpns important functions ( old version)
copyright (c) 2011 Stefan Rudbäck, Matematica,+46 708387910, [email protected], matematica.se sid
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dp 2
GC
Orifice plate
1. Complete Matematica master/dpns system for natural gas
Gas flow
Tube
kg/hkgMWMWhdp 3
V-conedp 3
P1abs,r1
Orifice
4*T
dp 1 0 11010
0 11010
0 11010
+
-
P2abs,r2
100% redundancy, 0.4% uncertainty
copyright (c) 2011 Stefan Rudbäck, Matematica,+46 708387910, [email protected], matematica.se sid
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Matematica GNG mother/dpns system total uncertainty 0.4%
copyright (c) 2011 Stefan Rudbäck, Matematica,+46 708387910, [email protected], matematica.se sid
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dp 2
Orifice plate
Matematica 2,5 flowmeter tech 1. Most probably flow plusreal 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
Gas flow
Tube
kg/hkgMWMWh
dp 3
V-conedp 3Orifice plate
dp 1
+
-
Q1,2,3
copyright (c) 2011 Stefan Rudbäck, Matematica,+46 708387910, [email protected], matematica.se sid
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dp 2
+
-
dp 1
-
+
Matematica 2,5 flowmeter tech arrangement of orifice plate dp transmitters
copyright (c) 2011 Stefan Rudbäck, Matematica,+46 708387910, [email protected], matematica.se sid
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Natural gas dpns software
copyright (c) 2011 Stefan Rudbäck, Matematica,+46 708387910, [email protected], matematica.se sid
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dp 2
Density transmitter (not GC)
Orifice plateGas flow
Tube
kg/hkgMWMWhdp 3
V-cone
dp 1
dp 3
P abs
Orifice plate
+
-
1. Complete Matematica hp/ffd system for natural gas. Composition calculated from density
4*T
copyright (c) 2011 Stefan Rudbäck, Matematica,+46 708387910, [email protected], matematica.se sid
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copyright (c) 2011 Stefan Rudbäck, Matematica,+46 708387910, [email protected], matematica.se sid
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Date: 120215
3. Why Matematica.Lib?-General and precise code based on latest standards.-Measurement & calculation systemsbased on Matematica.Lib can be improvedon demand and afterwards with Matematica.Lib double precision non stop technology.
copyright (c) 2011 Stefan Rudbäck, Matematica,+46 708387910, [email protected], matematica.se sid
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4. Abstracts/14.1. Open design improves clarity=each parameter is calculated separate.4.2. Open design simplifieserror search.
copyright (c) 2011 Stefan Rudbäck, Matematica,+46 708387910, [email protected], matematica.se sid
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Date: 120215
4. Abstracts/24.3. General & precise code for-Static precision &-Dynamic precisionno additional errors from code at fast signal changes
copyright (c) 2011 Stefan Rudbäck, Matematica,+46 708387910, [email protected], matematica.se sid
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Date: 120215
4. Abstracts/34.4. Stable code independent of external environment.4.5. At ”impossible” signals=> totalization will be ”freezed”.
copyright (c) 2011 Stefan Rudbäck, Matematica,+46 708387910, [email protected], matematica.se sid
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Date: 120215
5. DisadvantagesCPU-time <=1 s (PCS7)Recommendation;Dedicated CPU for Matematica.Lib hp/dpns tech.
copyright (c) 2011 Stefan Rudbäck, Matematica,+46 708387910, [email protected], matematica.se sid
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Contact;
MatematicaStefan Rudbäck, civ ing
[email protected]+46(0)708387910skype; stefan.rudback
(On the following pages more aboutMatematica if You are interested)