1. copyright (c) 2011 Stefan Rudbäck, Matematica,+46 708387910, mail@matematica.se, matematica.se sid 1 Date: 120123 2.1 Matematica.Lib. The function library that uses scientific state of the art knowledge without compromises. Ex: Natural Gas flow calculation with <0.7% unc (of actual flow) with Matematica.Lib hp tech (0.4% with dpns tech).

2. copyright (c) 2011 Stefan Rudbäck, Matematica,+46 708387910, mail@matematica.se, matematica.se sid 2 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 compared with matematica hp and dpns tech

3. copyright (c) 2011 Stefan Rudbäck, Matematica,+46 708387910, mail@matematica.se, matematica.se sid 3 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

4. copyright (c) 2011 Stefan Rudbäck, Matematica,+46 708387910, mail@matematica.se, matematica.se sid 4 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

5. copyright (c) 2011 Stefan Rudbäck, Matematica,+46 708387910, mail@matematica.se, matematica.se sid 5 1.2 Software/ Matematica high prec system for natural gas

6. copyright (c) 2011 Stefan Rudbäck, Matematica,+46 708387910, mail@matematica.se, matematica.se sid 6 Matematica dpns tech total system unc<0.4% Matematica hp tech sys unc<0.7% Fig;Shows real error of installed steam flow meters in Sweden compared with Matematica hp and dpns tech Matematica/Ex_2 Steam

7. copyright (c) 2011 Stefan Rudbäck, Matematica,+46 708387910, mail@matematica.se, matematica.se sid 7 Power/energy calc of steam with Matematica.Lib hp tech general function blocks

8. copyright (c) 2011 Stefan Rudbäck, Matematica,+46 708387910, mail@matematica.se, matematica.se sid 8 Part_1

9. copyright (c) 2011 Stefan Rudbäck, Matematica,+46 708387910, mail@matematica.se, matematica.se sid 9 Part_2

10. copyright (c) 2011 Stefan Rudbäck, Matematica,+46 708387910, mail@matematica.se, matematica.se sid 10 Date: 120123 2.2 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)

11. copyright (c) 2011 Stefan Rudbäck, Matematica,+46 708387910, mail@matematica.se, matematica.se sid 11 Date: 111130 Ex 1; Detection and elimination of flow profile errors from US/Mag-meters.

12. copyright (c) 2011 Stefan Rudbäck, Matematica,+46 708387910, mail@matematica.se, matematica.se sid 12 Date: 111130 Double precision non stop technology. Ex 1; Dp1dim_fpdc_flow. 1. Detects and corrects flow profile changes; laminar-transient-turbulent without any additional error Correction factor for laminar flow=0,77889 flow signal from flowmeter=100 Corrected flow=77,889 No correction factor for calibrated flow Correction factor for turbulent flow=1,0062

13. copyright (c) 2011 Stefan Rudbäck, Matematica,+46 708387910, mail@matematica.se, matematica.se sid 13 Reynolds number 100 % turbulent flow profile Simplified Graphics showing flow profile uncertainty in the transient area 100002000 100 % laminar flow profile Transient area =both turbulent and laminar flow possible Double precision non stop technology. Ex 1; Dp1dim_fpdc_flow. 1. Detects and corrects flow profile changes; laminar-transient-turbulent without any additional error

14. copyright (c) 2011 Stefan Rudbäck, Matematica,+46 708387910, mail@matematica.se, matematica.se sid 14 Real flow Simplified Graphics showing flowsignal from US-Mag with and without correction Reynolds number 10000 Double precision non stop technology. Dp1dim_fpdc_flow function block eliminates flow signal errors from 1 dim flowmeters calibrated for 1 Reynolds number ex 100000. US/Mag flow signal with Dp1dim_fpdc_flow Transient area =both turbulent and laminar flow possible Reynolds number 2000 Unknown flow signal Calibrated flow signal US/Mag flow signal without Matematica

15. copyright (c) 2011 Stefan Rudbäck, Matematica,+46 708387910, mail@matematica.se, matematica.se sid 15 Double precision non stop technology. Horrible downsizing with additional costs and errors not necessary any more Mag/US NEW INSTALLATION with Matematica Dp1dim_fpdc_flow software =no additional costs and errors Tube FORGET THIS HORRIBLE INSTALLATION with Matematica Dp1dim_fpdc_flow software Mag/US with Matematica dpns software

16. copyright (c) 2011 Stefan Rudbäck, Matematica,+46 708387910, mail@matematica.se, matematica.se sid 16 T1T2T3 T4 T_avg Meausure of 4 temps in a tube Failure of transmitter 4 = no problem (compare with simple calc (1+2+3+10)/4=4>>2.146) Double precision non stop technology. Ex 2; Dpns statistical calc of best possible value Signal unlikely value

17. copyright (c) 2011 Stefan Rudbäck, Matematica,+46 708387910, mail@matematica.se, matematica.se sid 17 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

18. copyright (c) 2011 Stefan Rudbäck, Matematica,+46 708387910, mail@matematica.se, matematica.se sid 18 Matematica.Lib.dpns block under normal conditions T1T2T3T4 T_avg

19. copyright (c) 2011 Stefan Rudbäck, Matematica,+46 708387910, mail@matematica.se, matematica.se sid 19 Example; Improvement of a Power/energy calc system with Matematica.Lib function blocks double precision non stop (dpns) and flow profile block dp_flow. dpns Return temp dpns Forward temp dp_flow TF1 TF2 TF3 TF4 TR1 TR2 TR3 TR4 q1 q2 q3 q4 Matematica.Lib Power/energy calculation system (see page 28-30) Matematica.Lib Power/energy double precision non stop technology and more/less transmitters dpns Return flow dp_flow Double_prec_flow

20. copyright (c) 2011 Stefan Rudbäck, Matematica,+46 708387910, mail@matematica.se, matematica.se sid 20 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 system) -Transmitters can be simplified. It’s often better with multiple simple (cheap) transmitters than 1 advanced (expensive). 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.

21. copyright (c) 2011 Stefan Rudbäck, Matematica,+46 708387910, mail@matematica.se, matematica.se sid 21 Exemple of Matematica.Lib funktion blocks

22. copyright (c) 2011 Stefan Rudbäck, Matematica,+46 708387910, mail@matematica.se, matematica.se sid 22 Example of Matematica.Lib function blocks

23. copyright (c) 2011 Stefan Rudbäck, Matematica,+46 708387910, mail@matematica.se, matematica.se sid 23 Matematica.Lib in list form

24. copyright (c) 2011 Stefan Rudbäck, Matematica,+46 708387910, mail@matematica.se, matematica.se sid 24 Matematica.Lib in list form 2

25. copyright (c) 2011 Stefan Rudbäck, Matematica,+46 708387910, mail@matematica.se, matematica.se sid 25 Matematica.Lib steam MMI

26. copyright (c) 2011 Stefan Rudbäck, Matematica,+46 708387910, mail@matematica.se, matematica.se sid 26 Matematica high precision calculation system for GNG flow in a pipe. Output kg and energy amount. dp temp pressure Gas comp from GC kg MWh Measured values from transmitters In operation at AGA LNG terminal in Nynäshamn/Sweden

27. copyright (c) 2011 Stefan Rudbäck, Matematica,+46 708387910, mail@matematica.se, matematica.se sid 27 Matematica high precision measurement and calculation system for GNG. System total uncertainty<0.7%.

28. copyright (c) 2011 Stefan Rudbäck, Matematica,+46 708387910, mail@matematica.se, matematica.se sid 28 Matematica:Lib Natural Gas GNG density calculation Code based on ISO 12213 <0.1% uncertainty >1400 statements of code in GNGdens function block Siemens PCS 7 /ABB CB General and precise

29. copyright (c) 2011 Stefan Rudbäck, Matematica,+46 708387910, mail@matematica.se, matematica.se sid 29 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

30. copyright (c) 2011 Stefan Rudbäck, Matematica,+46 708387910, mail@matematica.se, matematica.se sid 30 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

31. copyright (c) 2011 Stefan Rudbäck, Matematica,+46 708387910, mail@matematica.se, matematica.se sid 31 Date: 120123 Matematica How can Your organisation and Matematica cooperate in the future? There are (at least) 4 possibilities;

32. copyright (c) 2011 Stefan Rudbäck, Matematica,+46 708387910, mail@matematica.se, matematica.se sid 32 Date: 120123 Matematica-Your organisation coop 1. Start point; Consult basis. Matematica designes/calculates/generates control system code with Processline.

33. copyright (c) 2011 Stefan Rudbäck, Matematica,+46 708387910, mail@matematica.se, matematica.se sid 33 Date: 120123 Matematica-Your organisation coop 2. Developed coop; Licens agreement for Processline.

34. copyright (c) 2011 Stefan Rudbäck, Matematica,+46 708387910, mail@matematica.se, matematica.se sid 34 Date: 120123 Matematica-Your organisation coop 3. Developed coop; Simulation licens (Windows) for Matematica.Lib.

35. copyright (c) 2011 Stefan Rudbäck, Matematica,+46 708387910, mail@matematica.se, matematica.se sid 35 Date: 120123 Matematica-Your organisation coop 4. Developed coop; Simulation and online- license (Windows and Siemens/ABB) for Matematica.Lib.

36. copyright (c) 2011 Stefan Rudbäck, Matematica,+46 708387910, mail@matematica.se, matematica.se sid 36 Date: 120123 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

37. copyright (c) 2011 Stefan Rudbäck, Matematica,+46 708387910, mail@matematica.se, matematica.se sid 37 Contact; Matematica Stefan Rudbäck, civ ing mail@matematica.se www.matematica.se +46(0)708387910 skype; stefan.rudback