copyright (c) 2011 Stefan Rudbäck, Matematica, , matematica.se sid 1 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 2 Matematica ABB dpns Energy/Flow computer Matematica/Abstracts PUTTING KNOWLEDGE TO WORK Translation/automation of scientific knowledge from the book shelf to (computer) code without any compromises according; flow,energy,thermodynamics. PC Industrial control systems

copyright (c) 2011 Stefan Rudbäck, Matematica, , matematica.se sid 3 Date: Matematica/important 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 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 Matematica Natural/Bio gas

copyright (c) 2011 Stefan Rudbäck, Matematica, , matematica.se sid 5 Gas Chromatograph, GC 1. Complete Matematica GNG hp/GC system at AGA/Nynäshamn Gas flow Tube kg/h kg MW MWh dp 3 P (G) Orifice plate 4*T +- dP

copyright (c) 2011 Stefan Rudbäck, Matematica, , matematica.se sid Hardware/transmitters/details dp-cell/flowdp-cell/pressure4 points mean value arrangement of orifice plate + & - pressure tappings

copyright (c) 2011 Stefan Rudbäck, Matematica, , matematica.se sid Hardware/Orifice plate with mv impuls-tubes Next version bended up Next version bended up

copyright (c) 2011 Stefan Rudbäck, Matematica, , matematica.se sid Software part of Matematica hp/GC system at AGA/Nynäshamn

copyright (c) 2011 Stefan Rudbäck, Matematica, , matematica.se sid Software with input signals from transmitters and output on computer screens at AGA/Nynäshamn dP 4*T P (G)+Patm kg/h kg MW MWh dP GC

copyright (c) 2011 Stefan Rudbäck, Matematica, , matematica.se sid 10 4 important function blocks at AGA/Nynäshamn

copyright (c) 2011 Stefan Rudbäck, Matematica, , matematica.se sid Inside functionblock abstryck_distr Output=Input! (for signal distr)

copyright (c) 2011 Stefan Rudbäck, Matematica, , matematica.se sid Calculation of most probably temp from 4 signals

copyright (c) 2011 Stefan Rudbäck, Matematica, , matematica.se sid 13 T1T2T3 T4 T_most_probably 2. Meausure of 4 temps/3 flows in a tube Failure of transmitter 4/3 = no problem (compare with simple calc ( )/4=4>>2.146) 2. 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 Linearization of dp-dignal 20 mA

copyright (c) 2011 Stefan Rudbäck, Matematica, , matematica.se sid 15 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 3. Linearization of dp-dignal

copyright (c) 2011 Stefan Rudbäck, Matematica, , matematica.se sid Calculation of GNG density -~1400 lines code - 0.1% uncertainty

copyright (c) 2011 Stefan Rudbäck, Matematica, , matematica.se sid Calculation of GNG summarized mass flow and energy without underflow

copyright (c) 2011 Stefan Rudbäck, Matematica, , matematica.se sid 18 Comment To avoid underflow the Matematica.Lib Totalizer-block calculates with>100 numbers. What¨s underflow? Example; Amount threw the pipe last year= kg Amount threw the pipe last second= kg computer addition = kg math addition = disappears in underflow>20%. Matematica.Lib totalizer can summarize for hundred years without underflow. 5. Calculation of GNG summarized mass flow and energy without underflow

copyright (c) 2011 Stefan Rudbäck, Matematica, , matematica.se sid 19 Matematica GNG hp system total uncertainty <0.7% at AGA/Nynäshamn

copyright (c) 2011 Stefan Rudbäck, Matematica, , matematica.se sid 20 Date: 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, , matematica.se sid 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 filtered from the Matematica master tech

copyright (c) 2011 Stefan Rudbäck, Matematica, , matematica.se sid 22 Matematica GNG master system with important functions (simplified graphics) dpns temp_meas Temp_meas_1 P_abs_1 GC Temp_meas_2 Temp_meas_3 Temp_meas_4 Temp cal Density_1 Density_2 dp_1 P_abs_2 dpns P_abs dp_2 dp_3 GCdenscalcGCdenscalc dpnsdpns q1 q3 q2 dpnsdpns q GC maint alarm P_abs maint alarm Wf 1,2,3,4 = T maint alarm q,dp maint alarm q_95_unc

copyright (c) 2011 Stefan Rudbäck, Matematica, , matematica.se sid 23 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) Calculated Energy density in GNG Pabs T(C)

copyright (c) 2011 Stefan Rudbäck, Matematica, , matematica.se sid 24 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 dpnsdpns GNG energy MWh Fractions from density CH4 C2H6 GNG energy 95% unc Fractions from density

copyright (c) 2011 Stefan Rudbäck, Matematica, , matematica.se sid 25 Date: 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, , matematica.se sid 26 T1T2T3 T4 1.flow with real 95% unc 2.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, , matematica.se sid 27 dp 2 GC Orifice plate 1. Complete Matematica master/dpns system for natural gas Gas flow Tube kg/h kg MW MWh dp 3 V-cone dp 3 P1abs,r1 Orifice 4*T dp P2abs,r2 100% redundancy, 0.4% uncertainty

copyright (c) 2011 Stefan Rudbäck, Matematica, , matematica.se sid 28 Matematica GNG mother/dpns system total uncertainty 0.4%

copyright (c) 2011 Stefan Rudbäck, Matematica, , matematica.se sid 29 dp 2 Orifice plate 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 Gas flow Tube kg/h kg MW MWh dp 3 V-cone dp 3 Orifice plate dp Q1,2,3

copyright (c) 2011 Stefan Rudbäck, Matematica, , matematica.se sid 30 dp dp Matematica 2,5 flowmeter tech arrangement of orifice plate dp transmitters

copyright (c) 2011 Stefan Rudbäck, Matematica, , matematica.se sid 31 Natural gas dpns software Flow real unc Calc of most probably flow Uncertainty of most probably flow

copyright (c) 2011 Stefan Rudbäck, Matematica, , matematica.se sid 32 dp 2 Density transmitter (not GC) Orifice plate Gas flow Tube kg/h kg MW MWh dp 3 V-cone dp 1 dp 3 P abs Orifice plate Complete Matematica hp/ffd system for natural gas. Composition calculated from density 4*T

copyright (c) 2011 Stefan Rudbäck, Matematica, , matematica.se sid 33

copyright (c) 2011 Stefan Rudbäck, Matematica, , matematica.se sid 34 Date: 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, , matematica.se sid 35 Date: Abstracts/ Open design improves clarity=each parameter is calculated separate Open design simplifies error search.

copyright (c) 2011 Stefan Rudbäck, Matematica, , matematica.se sid 36 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 37 Date: Abstracts/ Stable code independent of external environment At ”impossible” signals=> totalization will be ”freezed”.

copyright (c) 2011 Stefan Rudbäck, Matematica, , matematica.se sid 38 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 39 Contact; Matematica Stefan Rudbäck, civ ing +46(0) skype; stefan.rudback (On the following pages more about Matematica if You are interested)