Copyright (c) 2011 Stefan Rudbäck, Matematica,+46 708387910, [email protected], matematica.se sid...

copyright (c) 2011 Stefan Rudbäck, Matematica,+46 708387910, [email protected], matematica.se sid

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Date: 120215

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


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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


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Date: 120215

Matematica/important customersAGA; Measurement of gasflows (O2, N2, GNG…).Söderenergi; Calculation of energy production in powerplants.Siemens; Design of flow metersand calculations.


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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


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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


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1.1 Hardware/transmitters/details

dp-cell/flowdp-cell/pressure4 points mean value arrangement of orifice plate + & - pressure tappings


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1.1 Hardware/Orifice plate with mv impuls-tubes

Next versionbended up

Next versionbended up


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1.2 Software part of Matematica hp/GC system at AGA/Nynäshamn


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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


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4 important function blocks at AGA/Nynäshamn

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3

4

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1. Inside functionblock abstryck_distr

Output=Input! (for signal distr)


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2. Calculation of most probably temp from 4 signals


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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


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3. Linearization of dp-dignal

20 mA


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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


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4. Calculation of GNG density -~1400 lines code- 0.1% uncertainty


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5. Calculation of GNG summarizedmass flow and energy without underflow


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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


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Matematica GNG hp system total uncertainty <0.7% at AGA/Nynäshamn


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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!


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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


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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


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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)


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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


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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.


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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)


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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


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Matematica GNG mother/dpns system total uncertainty 0.4%


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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


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dp 2

+

-

dp 1

-

+

Matematica 2,5 flowmeter tech arrangement of orifice plate dp transmitters


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Natural gas dpns software


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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


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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.


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Date: 120215

4. Abstracts/14.1. Open design improves clarity=each parameter is calculated separate.4.2. Open design simplifieserror search.


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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


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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”.


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Date: 120215

5. DisadvantagesCPU-time <=1 s (PCS7)Recommendation;Dedicated CPU for Matematica.Lib hp/dpns tech.


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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)

Copyright (c) 2011 Stefan Rudbäck, Matematica,+46 708387910, [email protected], matematica.se sid...

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