copyright (c) 2011 Stefan Rudbäck, Matematica, , matematica.se sid 1 Date: Matematica/Abstracts Translation of scientific knowledge from text/mathematics to (computer) code without any compromises according; flow,energy,thermodynamics.

copyright (c) 2011 Stefan Rudbäck, Matematica, , matematica.se sid 2 Date: Matematica/customers AGA; Measurement of gasflows (O2, N2, GNG…). Söderenergi; Calculation of energy production in powerplants. Siemens; Design of flow meters and calculations.

copyright (c) 2011 Stefan Rudbäck, Matematica, , matematica.se sid 3 Date: 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, , matematica.se sid 4 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, , matematica.se sid 5 dp T Gas Chromatograph, GC Orifice plate 1. Complete Matematica hp system for natural gas in Nynäshamn P Gas flow Tube kg/h kg MW MWh

copyright (c) 2011 Stefan Rudbäck, Matematica, , matematica.se sid 6 dp 4 temp transm, Temp_meas Gaschromatograph, GC measurement of molfractions of 6 gas components CH4,C2H6,C3H8,C4H10,CO2,N2 Orifice plate 1.1 Hardware/transmitters Matematica high precision system <0,7% unc for natural/Bio- gas flow and energy measurement in a tube P calculationTemp_cal Gas flowTube

copyright (c) 2011 Stefan Rudbäck, Matematica, , matematica.se sid Software/ Matematica high prec system for natural gas

copyright (c) 2011 Stefan Rudbäck, Matematica, , matematica.se sid ABB/CPU Matematica ABB dpns Energy/Flow computer

copyright (c) 2011 Stefan Rudbäck, Matematica, , matematica.se sid 9 Matematica/Siemens dpns GNG Energy/Flow computer Siemens/CPU

copyright (c) 2011 Stefan Rudbäck, Matematica, , matematica.se sid 10 Matematica/Siemens hp/dpns GNG Energy/Flow computer Siemens/CPU

copyright (c) 2011 Stefan Rudbäck, Matematica, , matematica.se sid 11 dpns-technology statistical temp=31,75 mean value temp =31,74 live values from AGA’s plant in Nynäshamn 1.4 Example of Matematica double precision non stop (dpns) technology

copyright (c) 2011 Stefan Rudbäck, Matematica, , matematica.se sid 12 Temp_meas= (most prob temp from 4 transmitters) Abs press= (Pöver+Patm) dprot= (sqrt calc dp from dp-transm) Mol parts from GC Mass flow Totalized Mass flow Energy flow Totalized Energy flow 2.Matematica natural gas. Connection btw transmitters and code with output

copyright (c) 2011 Stefan Rudbäck, Matematica, , matematica.se sid 13 Date: Why Matematica.Lib? -General and precise code based on latest standards. -Measurement & calculation systems based on Matematica.Lib can be improved at need and afterwards with Matematica.Lib double precision non stop technology.

copyright (c) 2011 Stefan Rudbäck, Matematica, , matematica.se sid 14 Date: Abstracts/ Open design improves clarity=each parameter is calculated separate Open design improves error search.

copyright (c) 2011 Stefan Rudbäck, Matematica, , matematica.se sid 15 Date: Abstracts/ General & precise code for -Static precision & -Dynamic precision no additional errors from code at fast signal changes

copyright (c) 2011 Stefan Rudbäck, Matematica, , matematica.se sid 16 Date: Abstracts/ Stable code independent of external environment At ”impossible” signals=> totalization will be ”freezed”.

copyright (c) 2011 Stefan Rudbäck, Matematica, , matematica.se sid 17 Date: Disadvantages CPU-time <=1 s (PCS7) Recommendation; Dedicated CPU for Matematica.Lib hp/dpns tech.

copyright (c) 2011 Stefan Rudbäck, Matematica, , matematica.se sid Details/1 Natural gas input

copyright (c) 2011 Stefan Rudbäck, Matematica, , matematica.se sid Details/2 Natural gas Output

copyright (c) 2011 Stefan Rudbäck, Matematica, , matematica.se sid Details/3 Temperature Naturgas_7 temp_ber block Input -measured temp i C -Flow in kg/s Output -Calc temp in C at upper pressure tapping of flowmeter (isolated tube) dp 4 pcs temp, Temp_meas orifice P calculationTemp_cal

copyright (c) 2011 Stefan Rudbäck, Matematica, , matematica.se sid 21 dp linearization block 1=>linearization, 0=>output=input -Scaling of dp-transm=20mA=span -Sqrt-calculated output from dp-transm -Linearized dp from dp-transm Comment Why? Se next slide 6. Details/4 linearization of dp-signal

copyright (c) 2011 Stefan Rudbäck, Matematica, , matematica.se sid 22 1.Linear output from dp-transm A/D-conversion unc= +-0.1% of span (16 mA) Sqrt Control system 10% flow = 1 % dp =4.16 mA 10% unc from A/D-conv 5% unc 2.Sqrt-calc output from dp-transm A/D-conversion unc=+-0.1% of span Control system 10% flow = 5.6 mA 1% unc from A/D-conv Figure 3 How A/D conv unc can be reduced from 5 to 1% with dp-sqrt-function

copyright (c) 2011 Stefan Rudbäck, Matematica, , matematica.se sid Details/5 Natural gas/density block Input -static pressure in PaA -static temp in C -measured mol% of 5 (up to 21) fractions in natural gas Output -density in kg/m3 -compressibility factor Z -number of iterations Comment 1 If all inputs are exact density will be calculated with 0,1% uncertainty. For this precision ~1400 statement code is needed. Comment 2 Only relation btw molar fractions are needed Measured with Gas Chromatograph. Sum of molar fractions can differ from 100% (or 1).

copyright (c) 2011 Stefan Rudbäck, Matematica, , matematica.se sid 24 Date: Calculations Nynäshamn. If all hardware and software are according specification mass flow, energy flow totalized mass flow and energy flow will be calculated with a total unc<+-0,7% of actual flow.

copyright (c) 2011 Stefan Rudbäck, Matematica, , matematica.se sid 25

copyright (c) 2011 Stefan Rudbäck, Matematica, , matematica.se sid Details/7 Mass Flow Natural Gas flow ISO5167 block Input -linearized dp i Pa -d=throat size in m -dp<dp_dropout flöde =>(normalflowmass)=0 =totalizations freezed Output normalflowmass =flow in kg/s reynerror=1 =standard limit violated Conversion from kg/s to kg/h

copyright (c) 2011 Stefan Rudbäck, Matematica, , matematica.se sid Details/8 Energy Cal_value Calc of Energy of natural gas at; temp before comb. 15C temp after comb. 15C +all vapour condensed after combustion

copyright (c) 2011 Stefan Rudbäck, Matematica, , matematica.se sid Details/9 Totalizations Comment To avoid underflow the Matematica.Lib Totalizer-block calculates with>100 numbers.underflow What¨s underflow? Example; Amount threw the pipe last year = kg Amount threw the pipe last second = kg The sum of these 2 amounts will be kg in a computer disappears in underflow>20%. Matematica.Lib totalizer can summarize for hundred years without underflow.

copyright (c) 2011 Stefan Rudbäck, Matematica, , matematica.se sid 29 Date: System sensibility 7.1 (GC). Not very important! What happens with sys unc if GC molar fractions unc goes from 1 to 2%? Answer: 0,66=>0,67 Mass flow 0,67=>0,72 Energy flow

copyright (c) 2011 Stefan Rudbäck, Matematica, , matematica.se sid 30

copyright (c) 2011 Stefan Rudbäck, Matematica, , matematica.se sid 31 Date: Possible improvements 8.1 digital signal from dp-transm to control system ~0,7-0,6

copyright (c) 2011 Stefan Rudbäck, Matematica, , matematica.se sid 32

copyright (c) 2011 Stefan Rudbäck, Matematica, , matematica.se sid 33 Date: Possible improvements 8.2 two dp-transm =>0,7-0,6 minor improvement

copyright (c) 2011 Stefan Rudbäck, Matematica, , matematica.se sid 34

copyright (c) 2011 Stefan Rudbäck, Matematica, , matematica.se sid 35 Date: How far can You go? With Matematica software You can calculate the most cost effective improvement for a system. So far simple improvements can deliver 0,4% system unc. With Matematica.Lib dpns technology it¨s up to You to spec Your limit (You name it).

copyright (c) 2011 Stefan Rudbäck, Matematica, , matematica.se sid 36 Date: More of Matematica/dpns-technology. Se following slides

copyright (c) 2011 Stefan Rudbäck, Matematica, , matematica.se sid 37 T1T2T3 T4 T_most_probably Meausure of 4 temps in a tube Failure of transmitter 4 = no problem (compare with simple calc ( )/4=4>>2.146) Double precision non stop technology. Ex 2; Dpns statistical calc of most probably value Signal unlikely value

copyright (c) 2011 Stefan Rudbäck, Matematica, , matematica.se sid 38 Example; Improvement of a GNG massflow/energyflow calc system with Matematica.Lib function block double precision non stop (dpns) Note simplified graphics dpns temp_meas Temp_meas_1 P_abs Matematica.Lib GNG flow/energy double precision non stop technology calculation system <0,4% sys unc dpns flow Flow orifice dp-cell 1 Temp_meas_2 Temp_meas_3 Temp_meas_4 Temp cal Flow orifice dp 2 Flow ISA nozzle dp 1 Flow ISA nozzle dp 2 GC gaskromatograf

copyright (c) 2011 Stefan Rudbäck, Matematica, , matematica.se sid 39 Contact; Matematica Stefan Rudbäck, civ ing +46(0) skype; stefan.rudback (On the following pages more about Matematica if You are interested)

copyright (c) 2011 Stefan Rudbäck, Matematica, , matematica.se sid 40

copyright (c) 2011 Stefan Rudbäck, Matematica, , matematica.se sid 41 Strypfläns/corner/fläns/D&D/2 tappings med yttre rörledning som medelvärdesbildare. (=Triple-T, rekommenderas framför ringkammare). Symmetriska (impuls)rör + resp - tryckanslutning dp-cell Mitt på = medelvärdesbildning av medelvärdesbildningen rörledning

copyright (c) 2011 Stefan Rudbäck, Matematica, , matematica.se sid 42 Date: Matematica.Lib. The function library that uses scientific state of the art knowledge without compromises. Ex: Power/energy calc with Matematica.Lib can reduce the calc error from typical 5% to <0.3%

copyright (c) 2011 Stefan Rudbäck, Matematica, , matematica.se sid 43 Power/energy calc with Matematica.Lib general function blocks

copyright (c) 2011 Stefan Rudbäck, Matematica, , matematica.se sid 44 Part_1

copyright (c) 2011 Stefan Rudbäck, Matematica, , matematica.se sid 45 Part_2

copyright (c) 2011 Stefan Rudbäck, Matematica, , matematica.se sid 46 Date: Matematica.Lib/dpns (Double precision non stop technology) Specify your demands for; Production reliability and Production precision and Matematica.Lib will meet those demands (Ex; see below)

copyright (c) 2011 Stefan Rudbäck, Matematica, , matematica.se sid 47 Flow signal from one dim flowmeter like US/mag Flow profile corrected ignal , difference=34%! For this case Example of FLOW PROFILES HANDLED BY Matematica dp_flow Date: Double precision non stop technology. Ex 1; Dp_flow.

copyright (c) 2011 Stefan Rudbäck, Matematica, , matematica.se sid 48 Let T4_stat_proc_value control the wheight factor wf4 (T4_proc=wf4*T4_stat_proc and so on for 1,2,3) =(1+2+3)/3

copyright (c) 2011 Stefan Rudbäck, Matematica, , matematica.se sid 49 Matematica.Lib.dpns block under normal conditions T1T2T3T4 T_avg

copyright (c) 2011 Stefan Rudbäck, Matematica, , matematica.se sid 50 With Matematica double precision non stop technology the following is possible; -The measurement uncertainty can be reduced to a limit defined by the user (to a certain limit). -The reliability can be improved to a limit defined by the user. (transmitter failure will be non-stop handled by the dpns-system) -Transmitters can be simplified. Failures will be non-stop handled. -Safety system operating parallell with the production system can be eliminated. Failures will be non-stop handled. -Real transmitter errors will be calculated.

copyright (c) 2011 Stefan Rudbäck, Matematica, , matematica.se sid 51 Exemple of Matematica.Lib funktion blocks

copyright (c) 2011 Stefan Rudbäck, Matematica, , matematica.se sid 52 Example of Matematica.Lib function blocks

copyright (c) 2011 Stefan Rudbäck, Matematica, , matematica.se sid 53 Matematica.Lib in list form

copyright (c) 2011 Stefan Rudbäck, Matematica, , matematica.se sid 54 Matematica.Lib in list form 2

copyright (c) 2011 Stefan Rudbäck, Matematica, , matematica.se sid 55 Matematica.Lib steam MMI

copyright (c) 2011 Stefan Rudbäck, Matematica, , matematica.se sid 56 Soft package Matematica calculation system for GNG delivery of kg and energy amount at Nynäs/Sweden MWh kg

copyright (c) 2011 Stefan Rudbäck, Matematica, , matematica.se sid 57 Matematica:Lib Natural Gas GNG density calculation Code based on ISO <0.1% uncertainty >1400 statements of code in naturgasdens function block Siemens PCS 7 /ABB CB General and precise

copyright (c) 2011 Stefan Rudbäck, Matematica, , matematica.se sid 58 Soft package Matematica calculation system for GNG delivery of kg and energy amount at Nynäs/Sweden

copyright (c) 2011 Stefan Rudbäck, Matematica, , matematica.se sid 59 Matematica:Lib Naturgas GNG flow calculation Code based on ISO 5167 = 0.5% uncertainty >450 statements of code in ISO_5167 function block (orifice plates, venturis and nozzles) Siemens PCS 7/ABB CB General and precise

copyright (c) 2011 Stefan Rudbäck, Matematica, , matematica.se sid 60 Soft package Matematica calculation system for GNG delivery of kg and energy amount at Nynäs/Sweden

copyright (c) 2011 Stefan Rudbäck, Matematica, , matematica.se sid 61 Matematica:Lib Naturgas GNG totalization of power to energy with function block Totalizer_3. Code developed by Matematica with 84 digits without underflow. May summarize in 100 years with 1 ms sampling <0.0001% underflow. Totalizer_3 function block appr. 800 statements of code Siemens PCS 7/ABB CB General and precise

copyright (c) 2011 Stefan Rudbäck, Matematica, , matematica.se sid 62 Date: Matematica How can Your organisation and Matematica cooperate in the future? There are (at least) 4 possibilities;

copyright (c) 2011 Stefan Rudbäck, Matematica, , matematica.se sid 63 Date: Matematica-Your organisation coop 1. Start point; Consult basis. Matematica designes/calculates/generates control system code with Processline.

copyright (c) 2011 Stefan Rudbäck, Matematica, , matematica.se sid 64 Date: Matematica-Your organisation coop 2. Developed coop; Licens agreement for Processline.

copyright (c) 2011 Stefan Rudbäck, Matematica, , matematica.se sid 65 Date: Matematica-Your organisation coop 3. Developed coop; Simulation licens (Windows) for Matematica.Lib.

copyright (c) 2011 Stefan Rudbäck, Matematica, , matematica.se sid 66 Date: Matematica-Your organisation coop 4. Developed coop; Simulation and online- license (Windows and Siemens/ABB) for Matematica.Lib.

copyright (c) 2011 Stefan Rudbäck, Matematica, , matematica.se sid 67 Date: At last; I hope some of my soft or hard packages can help Your organisation to better business in the future. Do not hesitate to contact me for a discussion of the first step in a future cooperation. Regards Stefan Rudbäck, Man dir, civ ing, M Sc