Case 6:12-cv-00799-JRG Document 25-5 Filed 01/31/13 Page 1 of 102 PageID #: 864
`ease 6‘”'°”'°°’99'”RG ”°°””‘e”‘ 2” llllllllllllllllllllllllllIllllflllllllllll|l|I|l|||fl||l||‘ll||llI|l|||864
`
`US006754594B2
`
`(12) United States Patent
`Henry et al.
`
`(10) Patent N0.:
`(45) Date of Patent:
`
`US 6,754,594 B2
`*Jun. 22, 2004
`
`(54) DIGITAL FLOWMETER
`
`EP
`EP
`
`0 698 783 A1
`0 702 212 A2
`
`2/1996
`3/1996
`
`(75)
`
`Inventors: Manus P. Henry, Oxford (GB); David
`W. Clarke, Oxford (GB); James H.
`Viglmsa Needham Heights» MA (US)
`
`.
`(73) Asslgneei
`
`*
`
`.
`) Notice:
`
`(
`
`Invensys Systems’ Inc” FeXbere> MA
`(US)
`.
`.
`.
`.
`Subject. to any disclaimer, the term of this
`patent 15 extended or adlusted under 35
`U-S-C 154(b) by 0 daY5~
`
`This patent is subject to a terminal dis-
`daimer.
`
`(21) Appl. No‘, 09/931,057
`
`(22)
`
`(65)
`
`Filed:
`
`Aug. 17, 2001
`_
`,
`_
`Pner Pubhcatlen Data
`Us 2002/0019710 A1 Feb. 14, 2002
`
`Related U.S. Application Data
`
`(63) Continuation of application No. 09/111,739, filed on Jul. 8,
`1998, now Pat. No. 6,311,136.
`Provisional application No. 60/066,554, filed on Nov. 26,
`1997
`
`(60)
`
`(51)
`Int. Cl.7 ......................... .. G01F 1/00, G01F 23/00,
`G01F 1/84
`(52) U.S. Cl.
`................ 702/45; 73/861.355; 73/861.356
`(58) Field of Search ............................. .. 702/4547, 50,
`702/100, 104406; 73/861.355, 861.357
`
`(56)
`
`References Cited
`
`US. PATENT DOCUMENTS
`3,956,682 A
`5/1976 Van Dyck ................... 318/640
`RE29,383 E
`9/1977 Gallatin etal.
`............. .. 137/14
`RE31,450 E
`11/1983 Smith .................. .. 73/861.356
`
`(List continued on next page.)
`FOREIGN PATENT DOCUMENTS
`
`OTHER PUBLICATIONS
`VIerriam—Webster’s Collegiate Dictionary, Tenth Edition,
`1998, p. 747.*
`VI. Henry et al., “The Implications of Digital Communica-
`tions on Sensor Validation”, Report No. QUEL 1912/92,
`University of Oxford, Department of Engineering Science,
`Apr. 1992.
`VI.P. Henry et al., “Signal processing, Data Handling and
`Communications: The Case for Measurement Validation”,
`\/Iar. 1992.
`
`VI.P. Henry et al., “A New Approach to Sensor Validation”,
`Improving Analyser Performance, IMC, Mar. 17, 1992.
`VI.P. Henry, “Intelligent Behaviour For Self—Validating Sen-
`sors , Advances in Measurement, pp 1-7 date unknown. .
`J. Hemp et al.; “On the Theory and Performance of Coriolis
`\/[ass Flowmeters”; Proceedings of the International Con-
`ference on Mass Flow Measurement Direct and Indirect;
`IBC Technical Services; 40 pages; Feb. 1989.
`Joseph DeCarlo; “True Mass—Flow Measurement”; Funda-
`mentals of Flow Measurement, Unit 11-2; pp. 208-220;
`1984.
`David Spitzer; “Mass Flowmeters”; Industries Flow Mea-
`surement, Chapter 12; pp. 197-210; 1990.
`
`Primary Examiner—Marc S. Hoff
`Assistant Examiner—Manuel L Barbee
`
`(74) Attorney Agenh or Firm—Fish & Richardson PC
`57
`ABSTRACT
`(
`)
`A dlgltal flowmeter Includes a vlbratable pondult, a drlver
`connected ‘to the conduit and operable to impart motion to
`the conduit, and a sensor connected to the conduit and
`
`control and
`operable to sense the motion of the conduit.
`measurement system is connected to the driver and the
`sensor. The control and measurement system includes cir-
`§“.1“Y‘.° refiive flsenielr S1gna1fr9m‘{1e S.enS<g.> gfffifie *1
`“Ve Slgna
`asel
`de.SenS9r Sllgeatfislgg.
`1g1 a dslgna
`Pr°eeSS1“g> Supp Y
`e
`“‘’e Slgna
`e
`e
`“"er> a“ gen-
`erate a measurement of a property of a two-phase material
`flowing through the conduit based on the signal from the
`Sensor.
`
`EP
`
`0696726 A
`
`2/1996
`
`26 Claims, 71 Drawing Sheets
`
`Massilow
`Measurement
`
`100
`
`105
`
`/“
`
`
`
`
`
`
`
`Digital
`Controller
`
` Flow Tube
`
`Temp.
`Sensor
`III
`
`
`
`

`
`Case 6:12-cv-00799-JRG Document 25-5 Filed 01/31/13 Page 2 of 102 PageID #: 865
`Case 6:12—cv—00799—JRG Document 25-5 Filed 01/31/13 Page 2 of 102 Page|D #: 865
`
`US 6,754,594 B2
`Page 2
`
`7/1993 Bruck ...................... .. 73/1.34
`11/1993 Kolpak ................ .. 73/861.355
`12/1993 Mattar et al.
`.......... 73/861.355
`9 1994 M
`1.
`........ .. 73 861.355
`9/1994 al. ........ 73/861.357
`3/1995 Kalota
`73/861 355
`
`Y """"""" " 73 861556
`71995 C 1
`/
`em“ """""""""" "
`/
`'
`“/1995 Keletey ~~~~~~~~~~~~~~ ~~ 73/861356
`
`3/1996 Cage etal.
`73/861.356
`3/1996 Patten etal.
`......... .. 73/861.355
`7/1996 Kelpek ~~~~~~~~~~~~~~~~~~ ~~ 73/86104
`
`9/1996 Derby e‘ e1"
`""" " 702/45
`10/1996 Henry et al.
`................ .. 702/45
`11/gag gekel e‘ e1"t"1'""""" 7;/383:3?
`7/1997 Ke‘F1’e“ ere e" '''' "73 461556
`8/1997 De:
`""""""""""""""
`7g 15218
`/
`“ en """"""" "
`/
`"
`“/1997 Bumer e‘ "L ~~
`702/100
`3/1998 Aberson ...... ..
`700/174
`6/1998 Yang . . . . . . .
`. . . . . .. 702/104
`9/1998 Freeman """" "
`" 73/861356
`7/1999 Mattaret al.
`..
`..... .. 390/606
`$333 ffadlér ‘H"""
`Z3/22832
`/
`unmng ‘me e" '
`/
`'
`10/2001 Henry et al.
`................ .. 702/45
`
`
`
`5,228,327 A
`5,259,250 A
`5,271,281 A
`5343 764 A
`5,347,874 A
`5’400’653 A
`5’429’002 A
`9
`9
`59469748 A
`5,497,665 A
`5,497,666 A
`55359632 A
`545559190 A
`5,570,300 A
`§’§g:Hg$A
`56489616 A
`56549502 A
`9
`9
`596877100 A
`5,732,193 A *
`5,774,378 A
`598049741 A
`5,926,096 A
`giggfgg A
`9
`9
`6,311,136 B1
`
`*
`
`*
`
`* cited by examiner-
`
`U.S. PATENT DOCUMENTS
`
`~~~~~~~~~--7;/3£i1£§
`$323 gafllffir 6‘ a1~
`jajgaggg A
`‘"1
`~~~~~~~~~~~~~~~~~~ ~
`~
`>
`>
`1/1985 Smith et ‘*1’ "
`73/861356
`43919025 A
`
`.......... .. 73/29.01
`8/1987 Cheung et al.
`4,688,418 A
`........... .. 73/23.31
`3/1988 Mikasa etal.
`4,727,746 A
`
`9/1988 Aslesen et al.
`4,773,257 A
`. 73/61.44
`......................... .. 702/45
`4782 711 A * 11/1988 Pratt
`4’801’897 A
`1/1989 Flecken
`331/65
`
`4,817,448 A
`4/1989 Hargmen etal.
`73/861.356
`4823 614 A *
`4/1989 Dahlin ...................... .. 73/198
`4,852,410 A
`8/1989 Corwon et al.
`...... .. 73/861.356
`
`4’879’911 A
`11/1989 Zolock ....... N
`73/861.356
`.......... 73/861.357
`4,891,991 A
`1/1990 Mattaretal.
`4,895,030 A
`1/1990 Bergaminietal.
`73/861.355
`4,911,006 A
`3/1990 Hargarten et al.
`.......... .. 73/198
`4,911,020 A
`3/1990 Thompson ........... .. 73/861.356
`4934 195 A
`6/1990 Hussain ............... .. 73/861.355
`4’934’196 A
`6/1990 Romano
`73/861356
`4’996’871 A
`3/1991 Romano
`73/52 A
`5,027,662 A
`7/1991 Titlow et al.
`........ .. 73/861.356
`5,029,482 A
`7/1991 Lin em.
`73/861.04
`5,050,439 A
`9/1991 Thompson ............. 73/861.356
`5,052,231 A
`10/1991 Christ et al.
`......... .. 73/861.356
`5,054,313 A * 10/1991 Fitzgerald et A1.
`..... N 73/54.27
`5,054,326 A
`10/1991 Mattar ................. .. 73/861.355
`5,218,869 A
`6/1993 Pummer .................... .. 73/629
`
`
`
`

`
`Case 6:12-cv-00799-JRG Document 25-5 Filed 01/31/13 Page 3 of 102 PageID #: 866
`Case 6:12—cv—00799—JRG Document 25-5 Filed 01/31/13 Page 3 of 102 Page|D #: 866
`
`U.S. Patent
`
`Jun. 22,2004
`
`Sheet 1 of 71
`
`US 6,754,594 B2
`
`Massflow
`
`Measurement
`
`105
`
`100
`/
`
`/I
`
`
`
`Digital
`Controiier
`
`125
`
`
`
`110
`
`Flow Tube
`
`———
`
`120
`
`F|C.1
`
`—--~-
`
`
`
`115
`
`

`
`Case 6:12-cv-00799-JRG Document 25-5 Filed 01/31/13 Page 4 of 102 PageID #: 867
`
`
`
`cm.5:2:.:E.3.3.:2.8.NaScmahmfimfan
`
`
`

`
`Case 6:12-cv-00799-JRG Document 25-5 Filed 01/31/13 Page 5 of 102 PageID #: 868
`
`
`
`
`
`ZEI176S‘17SL‘9SnILJ09199118v00z‘zz°Im1‘1113112(['3'[1
`
`
`
`
`
`
`
`

`
`Case 6:12-cv-00799-JRG Document 25-5 Filed 01/31/13 Page 6 of 102 PageID #: 869
`
`
`
`CORIOLIS
`
`MODE
`
`A
`/""\
`
`C
`f'\
`
`I
`
`5:‘
`V3
`
`"U
`99H
`(D
`59
`
`
`
`ILJ017199118v00z‘zz°Im1'
`
`C‘
`CI)
`
`9*
`\l
`U1
`\_-BU1
`\o
`
`A U
`
`!N
`
`

`
`Case 6:12-cv-00799-JRG Document 25-5 Filed 01/31/13 Page 7 of 102 PageID #: 870
`
`
`
` Processor
`
`460
`
`
`
`
`
`ZEI176S‘17SL‘9SnILJ09199118vooz‘zz°un1‘guamd'S'f1
`
`
`
`
`
`
`
`

`
`
`
`Case 6:12-cv-00799-JRG Document 25-5 Filed 01/31/13 Page 8 of 102 PageID #: 871
`
`565
`
`570
`
`505
`
`r--———¢~ Measurements
`
`500
`
`\
`
`Digital Controller
`
`555
`
`U3 U1 01
`
`535
`
`540
`
`I3
`
`
`111313cI°S'[1
`
`ILJ09199115v00z‘zz‘Hut
`
`C‘
`CI)
`
`9*
`\l
`U]
`‘AU]
`\o
`
`A U
`
`FlG.5
`
`550
`
`120
`
`!N
`
`

`
`Case 6:12-cv-00799-JRG Document 25-5 Filed 01/31/13 Page 9 of 102 PageID #: 872
`Case 6:12—cv—00799—JRG Document 25-5 Filed 01/31/13 Page 9 of 102 Page|D #: 872
`
`U.S. Patent
`
`Jun. 22, 2004
`
`Sheet 7 of 71
`
`US 6,754,594 B2
`
`600
`
`/“
`
`Determine
`
`Frequency
`
`605
`
`610
`
`615
`
`
`
`620
`
`
`
`625
`
`630
`
`635
`
`
`
`
`
`
`
`
`Determine/ Eliminate
`
`Offset
`
`Determine
`
`Amplitude
`
`Determine
`
`Phase
`
`Generate Drive
`Signal
`
`Generate
`
`Measurements
`
`FIG. 6
`
`

`
`Case 6:12-cv-00799-JRG Document 25-5 Filed 01/31/13 Page 10 of 102 PageID #: 873
`Case 6:12—cv—00799—JRG Document 25-5 Filed 01/31/13 Page 10 of 102 Page|D #: 873
`
`U.S. Patent
`
`Jun. 22, 2004
`
`Sheet 8 of 71
`
`US 6,754,594 B2
`
`start_samp|e_S;
`
`S1-in
`
`Voltage
`
`Time
`
`FIG. 7A
`
`
`
`sta rt_offset_S 2
`
`r4
`
`sta rt_sampIe_S2
`
`
`
`F|G.7B
`
`Voltage
`
`

`
`Case 6:12-cv-00799-JRG Document 25-5 Filed 01/31/13 Page 11 of 102 PageID #: 874
`Case 6:12—cv—00799—JRG Document 25-5 Filed 01/31/13 Page 11 of 102 Page|D #: 874
`
`U.S. Patent
`
`Jun. 22, 2004
`
`Sheet 9 of 71
`
`US 6,754,594 B2
`
`0.12
`
`°'°°
`
`Sensor Voltage
`
`0.1 Square of
`
`0.04
`
`0.02
`
`00
`
`0.005
`
`0.01
`
`0.015
`
`0.02
`
`0.025
`
`0.03
`
`Time(s)
`
`FIG. 8 A
`
`3 x 10.‘
`
`2.5
`
`2
`
`_
`
`1
`
`0.5
`
`0
`
`Square of
`Sensor Voltage
`(V'V)
`
`-00§0121
`
`0.0121
`
`0.0122
`
`0.0122
`
`0.0123
`
`0.0123
`
`Time(s)
`
`F|G.8B
`
`

`
`Case 6:12-cv-00799-JRG Document 25-5 Filed 01/31/13 Page 12 of 102 PageID #: 875
`Case 6:12—cv—00799—JRG Document 25-5 Filed 01/31/13 Page 12 of 102 Page|D #: 875
`
`U.S. Patent
`
`Jun. 22, 2004
`
`Sheet 10 of 71
`
`US 6,754,594 B2
`
`905
`
`initiaiize Variables
`
`910
`
`,
`_
`Estimate end_point
`
`915
`
`Determine # oi Points
`tor Curve Fitting
`
`920
`
`925
`
`900
`
`/V
`
`iteration_count = iteration,count + 1
`
`930
`
`935
`
`ep_int
`
`2:
`
`940
`
`945
`
`Select step iength
`
`int end,point + 0.5)
`
`Fit! 2 Array
`
`
`
`Smooth zik—1}, z[k]. zIk+1i
`
`Fit Quadratic
`
`Oatculate 2* 3 x*
`
`iteration_count< 3
`
`950
`
`955
`
`960
`
`H5 9.
`
`N
`
`975
`
`

`
`Case 6:12-cv-00799-JRG Document 25-5 Filed 01/31/13 Page 13 of 102 PageID #: 876
`Case 6:12—cv—00799—JRG Document 25-5 Filed 01/31/13 Page 13 of 102 Page|D #: 876
`
`U.S. Patent
`
`Jun. 22, 2004
`
`Sheet 11 of 71
`
`US 6,754,594 B2
`
`1005
`
`f1: 121m. 8Im2
`101 d1. d2
`
`1000
`
`/I/
`
`1010
`
`Determine
`
`12m. 11m
`
`1015
`
`Determine Start and
`
`End 01 d1m2» d2m1
`
`1020
`
`
`
`
`
`
`
`
`Determine Phase.
`Amptitude for d1 and
`02m. and Phase
`Difference
`
`
`
`
`1025
`
`103
`
`Repeat for
`
`dz. d1rn2
`
`Generate Averages
`of Amplitude 8
`Phase Differences
`
`F|G.10
`
`

`
`Case 6:12-cv-00799-JRG Document 25-5 Filed 01/31/13 Page 14 of 102 PageID #: 877
`
`S5
`-m
`
`E?
`8‘
`3
`
`EF
`
`E3
`‘N
`34%
`
`6%
`$3
`5
`O"'5
`
`,2‘.
`
`za176S‘17SL‘9Sn
`
`10
`
`STARTUP FOR 2" WET EMPTY FLOWTUBE WITHOUT SQUARE WAVE KICK-START
`
`3«F§;'\§§L1
`
`5
`
`FIG. HA 0
`
`
`
`DRIVE
`SIGNAL2
`
`5
`
`0
`
`-5 V
`
`FIG.
`
`11B -10
`
`0.2
`0"
`SENSOR
`VOLTAGE 1 (V) 0
`
`-0.1
`FIG. 11C -0.2
`
`SENSOR
`VOLTAGE 2 (V)
`
`0.2
`
`0.1
`
`-0.1
`
`FIG. 11D -02
`
`
`
`

`
`Case 6:12-cv-00799-JRG Document 25-5 Filed 01/31/13 Page 15 of 102 PageID #: 878
`
`
`
`20
`
`10
`
`DRIVE
`SIGNAL 1
`
`STARTUP FOR 2" WET EMPTY FLOWTUBE WITH SQUARE WAVE KICK-START
`
`0
`FIG. 12A I200
`
`F5
`V3
`
`“U
`99H
`(D
`5H
`
`za176S‘17SL‘9SnILJ091musv00z‘zz'un['
`
`
`
`1.5
`
`2
`
`2.5
`
`104
`
`20
`
`10
`
`DRIVE
`SIGNAL2
`
`-10
`
`FIG. 12B .20
`
`0.4
`
`SENSOR
`
`VOLTAGE 1 (V) 0.2
`
`0 I
`
`HVH
`
`-02 .
`
`FIG. 12C -0.4
`
`SENSOR
`VOLTAGE 2(V)
`
`0.4
`
`o_2
`0
`
`-0.2
`
`-
`
`FIG. 12D-0.4
`
`
`
`

`
`Case 6:12-cv-00799-JRG Document 25-5 Filed 01/31/13 Page 16 of 102 PageID #: 879
`
`STARTUP FOR 1" EMPTY FLOWTUBE WITH SQUARE WAVE-KICK START
`
`F5
`V3
`
`DRIVE
`SIGNAL 1
`
`I:up
`
`"U
`93up
`CD
`
`FIG. 13A ~2o0
`20
`«,0
`
`DRIVE
`S|GNAL2
`
`-10
`
`FIG. 13B -20
`
`0.1
`
`0.2
`
`0.3
`
`0.4
`
`0.5
`
`0.6
`
`0.7
`
`0.8
`
`.. ..
`
`
`
`E
`L»
`3*’
`3’O
`A
`
`m
`
`5-
`2
`3
`2..
`L‘
`
`C}
`CI)
`ax
`
`3'.
`JR
`
`-IR
`
`U5
`[9
`
`SENSOR
`VOLTAGE 1 (V)
`
`FIG.
`
`0.4
`02
`'
`0
`-0.2 ...... ..
`‘0.._4
`
`0
`
`_
`
`SENSOR
`VOLTAGE 2 (V)
`
`0.4
`
`0.2
`
`°
`
`-
`
`-
`
`-0.2 —
`
`‘ 0
`
`0.1
`
`0.2
`
`0.3
`
`0,4
`TlME(S)
`
`
`
`

`
`Case 6:12-cv-00799-JRG Document 25-5 Filed 01/31/13 Page 17 of 102 PageID #: 880
`Case 6:12—cv—00799—JRG Document 25-5 Filed 01/31/13 Page 17 of 102 Page|D #: 880
`
`U.S. Patent
`
`Jun. 22, 2004
`
`Sheet 15 of 71
`
`US 6,754,594 B2
`
`1405
`
`Estimate Nominal
`Operating Frequency
`
`1410
`
`1415
`
`1420
`
`1425
`
`1430
`
`1435
`
`1440
`
`1445
`
`Synthesize
`Nominal Signals
`
`Multiply by Original
`Sensor Signals
`
`Eliminate
`High 1 Components
`
`Combine Signals
`to Produce ulkl
`
`Calculate Frequency
`Deviation
`
`Add to
`Nominal Frequency
`
`Determine
`Amplitude
`
`Determine
`
`Phase Difference
`
`1400
`
`/V
`
`F|G.l4
`
`

`
`Case 6:12-cv-00799-JRG Document 25-5 Filed 01/31/13 Page 18 of 102 PageID #: 881
`Case 6:12—cv—00799—JRG Document 25-5 Filed 01/31/13 Page 18 of 102 Page|D #: 881
`
`U.S. Patent
`
`Jun. 22, 2004
`
`Sheet 16 of 71
`
`US 6,754,594 B2
`
`Mass Flow
`Measurement
`
`1500
`
`Digital Controller
`
`Multiplying
`D/ A
`
`
`
`
`1550
`
`Sensor
`
`
`
`1560
`
`1555
`
`
`
`Kc“)
`
`
`
`FIG. 153
`
`

`
`Case 6:12-cv-00799-JRG Document 25-5 Filed 01/31/13 Page 19 of 102 PageID #: 882
`
`
`
`F1
`02
`
`E1
`g
`
`PF
`
`Eu
`
`‘[9
`[9
`
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`
`§
`3‘
`
`GC
`
`I)
`
`1625
`
`1630
`
`1610
`
`\
`
`Receive
`Sensor Data
`
`1605
`
`1520
`
`/
`
`1600
`
`/“
`
`1640
`
`Generate Amplitude.
`Frequency and Phase
`
`Generate Drive Signal
`as Dillerence
`
`Determine Amplitude
`alt)
`
`Calculate Mass
`
`=
`
`_
`
`1635
`
`T
`Pl Calculation
`
`of Gain
`
`1655
`
`Multiply Drive Signal
`by Gain
`
`F|G.16
`
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`
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`
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`
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`
`

`
`Case 6:12-cv-00799-JRG Document 25-5 Filed 01/31/13 Page 20 of 102 PageID #: 883
`Case 6:12—cv—00799—JRG Document 25-5 Filed 01/31/13 Page 20 of 102 Page|D #: 883
`
`U.S. Patent
`
`Jun. 22, 2004
`
`Sheet 18 of 71
`
`US 6,754,594 B2
`
`FlG.18
`
`

`
`Case 6:12-cv-00799-JRG Document 25-5 Filed 01/31/13 Page 21 of 102 PageID #: 884
`Case 6:12—cv—00799—JRG Document 25-5 Filed 01/31/13 Page 21 of 102 Page|D #: 884
`
`U.S. Patent
`
`Jun. 22, 2004
`
`Sheet 19 of 71
`
`US 6,754,594 B2
`
`X .10-6
`
`SV1: -ve Gain
`
`3.045
`
`3.04 --
`
`
`
`AD1879
`
`Gain
`
`3.03
`
`3.025
`20
`
`30
`
`40
`
`50
`
`60
`
`AD1879 Temperature(C)
`
`F|G.19A
`
`X ,0-5
`
`SV2: -ve Gain
`
`
`
`' 20
`
`30
`
`40
`
`50
`
`«so
`
`AD1879 Temperature(C)
`
`FIG. 19B
`
`

`
`Case 6:12-cv-00799-JRG Document 25-5 Filed 01/31/13 Page 22 of 102 PageID #: 885
`Case 6:12—cv—00799—JRG Document 25-5 Filed 01/31/13 Page 22 of 102 Page|D #: 885
`
`U.S. Patent
`
`Jun. 22, 2004
`
`Sheet 20 of 71
`
`US 6,754,594 B2
`
`X 10-6
`
`SV1: +ve Gain
`
`3.045
`
`3.04 -
`
`
`
`AD1879
`Gain 3035
`
`8.03
`
`3.025
`20
`
`30
`
`40
`
`50
`
`60
`
`AD1879 Temperature(C)
`
`A01 879
`
`Offset
`
`Zero
`
`20
`
`30
`
`40
`
`50
`
`60
`
`AD1879 Temperature(C)
`
`F|G.19D
`
`

`
`Case 6:12-cv-00799-JRG Document 25-5 Filed 01/31/13 Page 23 of 102 PageID #: 886
`
`mean = 000627865. std = 000144671
`
`mean = 4.0109679, std - 000150263
`
`mmsmmnzo9m~m>+couwmmammmzm
`
`
`
`mm_u>uum>mm_.mE,_couwmmommacm
`
`4'll-842005O5.520.91.m0W0O10%O01D0.0.0.D0.0.D.00.O4000O000O04.4.
`
`300
`FIG. 2 O A
`
`0I0WF
`
`00mm.
`
`
`
` .0%WmW.Mm000O0.44444mmsmmoa93w)!COummmnmmmzn.
`
`400
`
`0
`
`mean = -000234461, std = 000875262
`
`wm
`
`300
`
`400
`
`2 O C
`
`0mrlu
`
`0
`
`F
`
`300
`
`DDo0W2
`
`400
`
`500
`
`
`
`cm.5.8.:.:_=.B.3%2.8.Ba3cmahmfimfian
`
`
`
`
`

`
`Case 6:12-cv-00799-JRG Document 25-5 Filed 01/31/13 Page 24 of 102 PageID #: 887
`
`F5
`V3
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`:
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`
`31.8 x 10
`
`Phase zero drift without offset and gain correction
`
`4% *2
`
`‘
`
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`
`‘
`
`2
`
`'
`
`'
`4
`
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`
`s
`
`e
`10
`A Time (hours)
`
`12
`
`14
`
`16
`
`18
`
`3.2.2
`
`5 -2.4
`
`E'
`
`§ -2 B
`
`-2.0
`
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`
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`g 0.012
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`.g 0.008
`.2
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`
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`U)
`
`°o
`
`2
`
`4
`
`5
`
`10
`3
`Ttme (hours)
`
`12
`
`14
`
`16
`
`18
`
`FIG. 21B
`
`
`
`

`
`
` 2210
`
`Every 10.000 Cycles:
`Check Slope of A,
`
`F|G.22
`
`Case 6:12-cv-00799-JRG Document 25-5 Filed 01/31/13 Page 25 of 102 PageID #: 888
`Case 6:12—cv—00799—JRG Document 25-5 Filed 01/31/13 Page 25 of 102 Page|D #: 888
`
`U.S. Patent
`
`Jun. 22, 2004
`
`Sheet 23 of 71
`
`US 6,754,594 B2
`
`Every Cycle: Catculate Iws, lms.
`Iwc» lmc» 1293- I2~s- $Um1s-
`R3fi01s. SUm10» 3Um2s
`
`2205
`
`2200
`
`
`2220
`
`
`
`
`2215
`
`Y
`
`Generate Average
`
`"Values
`
`Estimate Zero Offset
`
`& Gain Mismatch
`
`Calcuiate k.
`
`amp_tactor
`
`Estimate Amplitudes
`
`Improve Estimate
`
`Adjust Raw Data
`
`

`
`Case 6:12-cv-00799-JRG Document 25-5 Filed 01/31/13 Page 26 of 102 PageID #: 889
`
`1
`
`4
`
`nae
`
`36.
`
`1
`
`6O.o/.
`
`
`
`
`
`cm.5.8.:.3...B.3?.$8.3a3cmsqmémfian
`
` m.M.024nmou6420__am1mmc_mmo.u
`
`
`Sewm>..coUmmmnmmmcn.
`
`3O1OmmGWI0.El00._...9u.
`
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`W8QB._03mm2
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`1000
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`mmsmmobo.30>+comommao.o_§.Emm_u>oUm>mmtwE_conmmmnummzm
`
`
`
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`
`
`

`
`Case 6:12-cv-00799-JRG Document 25-5 Filed 01/31/13 Page 27 of 102 PageID #: 890
`
`.WmMm.mo
`
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`
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`
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`
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`
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`
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`
`Case 6:12-cv-00799-JRG Document 25-5 Filed 01/31/13 Page 28 of 102 PageID #: 891
`Case 6:12—cv—00799—JRG Document 25-5 Filed 01/31/13 Page 28 of 102 Page|D #: 891
`
`U.S. Patent
`
`Jun. 22, 2004
`
`Sheet 26 of 71
`
`US 6,754,594 B2
`
`Cycle n
`<——————-———-—->
`
`‘
`
`Cycle n-1
`
`F ‘
`
`Cycle n+1
`
`_
`
`
`
`-1:/co
`
`0
`
`1:/an
`
`21:/on
`
`31:/(0
`
`Time(s)
`
`FlG.25
`
`

`
`Case 6:12-cv-00799-JRG Document 25-5 Filed 01/31/13 Page 29 of 102 PageID #: 892
`Case 6:12—cv—00799—JRG Document 25-5 Filed 01/31/13 Page 29 of 102 Page|D #: 892
`
`U.S. Patent
`
`Jun. 22, 2004
`
`Sheet 27 of 71
`
`US 6,754,594 B2
`
`2605
`
`2600
`
`Produce Frequency
`
`/M
`
`Estimate
`
`2610
`
`2615
`
`2620
`
`2625
`
`2630
`
`Estimate Amphtude
`
`& Phase
`
`Calculate Phase
`
`Difference
`
`Determine Amptitude
`Rate of Change
`
`Correct
`
`Frequency
`
`Compensate
`Phase
`
`F|G.26
`
`

`
`Case 6:12-cv-00799-JRG Document 25-5 Filed 01/31/13 Page 30 of 102 PageID #: 893
`
`
`
`u:2.85751e-01 s:2.39168c-02
`V
`.
`.
`
`‘
`
`.
`
`} , W’,
`l
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`
`?
`
`
`
`.
`
`‘
`
`.
`
`10
`
`
`O'28'{'
`T:
`
`0.3
`
`V1
`
`AMPLITUDE 0'24
`(V)
`0.22
`
`0.2
`
`0.13
`
`81.6
`
`3V1
`FREQUENCY
`
`81.5
`
`(HZ)
`
`31.4
`
`81.3
`
`I HM .
`I
`
`
`
`,
`
`%
`
`;
`
`9
`
`
`N
`
`
`
`
`
`
`ZEI176S‘17SL‘9SnILJ08Z1991lSvooz‘zz‘H111’Juamd-S-[1
`
`
`
`
`
`40
`T|N~:»g(S)
`20
`u:8.14105e+O1s:5.73609e-02
`
`60
`50
`FIG‘ 27A
`
`10
`
`20
`
`“gas
`
`’
`
`40
`
`so
`so
`FIG. 273
`
`
`
`

`
`Case 6:12-cv-00799-JRG Document 25-5 Filed 01/31/13 Page 31 of 102 PageID #: 894
`
`u:3.08123e-13 s:5.73600e-O2
`
`RESIDUAL
`
`RANV
`
`FREQUENCY
`
`(HZ)
`
`-02
`
`‘
`
`-
`
`10
`
`2o
`
`40
`
`30
`T""'E<S>
`u:1.57354e-04 s:5.61601e-02
`-
`
`
` sv1
`3
`
`
`
`1“313cI'S°fl
`
`gF
`
`‘B
`§
`
`-B
`
`g
`2
`§
`
`cg
`:3
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`
`E U
`
`5‘
`[9
`
`so
`so
`FIG. 28A
`
`02
`045
`MEAS.
`04
`CORRECTION o_o5
`FOR AMP. VAR.
`0
`(Hz)
`-o5'§¥
`
`10
` “io
`so
`40
`so
`60
`T"‘“E‘S’
`FIG. 28B
`
`-0.1
`-045
`
`
`
`

`
`Case 6:12-cv-00799-JRG Document 25-5 Filed 01/31/13 Page 32 of 102 PageID #: 895
`
`
`
`u:8.14105e+01 s:5.73609e-O2
`
`
`
`ZEI176S‘17SL‘9SnILJ009199113v00z‘zz°Im1‘guamd-S-[1
`
`
`
`
`
`
`
`20
`
`30
`T|ME(S)
`
`40
`
`u:8.14103e+01 s:1.29455e-O2
`
`20
`
`30
`TIME(S)
`
`40
`
`81.6
`
`31-5
`
`81.4 ‘
`
`SV1 RAW
`FREQUENCY
`(Hz)
`
`81.3
`
`81.44
`
`31.42
`
`FREQUENCY
`CORRECTED
`FOR AMP. VAR. 31,4 V
`(Hz)
`
`31.33
`
`
`
`

`
`Case 6:12-cv-00799-JRG Document 25-5 Filed 01/31/13 Page 33 of 102 PageID #: 896
`
`u:8.14105e+01 s:5.70865e-02
`
`81.6
`
`AVERAGE
`
`81.5
`
`2
`RAW FREQUENCY
`(Hz)
`81.4 i
`
`E
`
`81.42
`AV. FREQUENCY 81_41
`CORRECTED FOR 81 4
`AMP. VAR. (Hz)
`
`81.39
`81.38
`31.37
`
`-
`
`10
`
`20
`
`30
`TWS’
`
`40
`
`'
`
`E E-
`E
`50
`60
`FIG 303
`
`!N
`
`
`
`111313cI°S'[1
`
`E
`
`3 1
`
`.
`E
`
`§
`5
`
`; §
`
`C
`:
`“,7;
`“A
`
`E U
`
`
`
`10
`
`81.3
`
`31.44
`31.43
`
`~
`20
`
`30
`T'ME(S)
`u:8.14103e-I-01 s:1.10440e-02
`
`40
`
`so
`so
`FIG 30A
`
`

`
`Case 6:12-cv-00799-JRG Document 25-5 Filed 01/31/13 Page 34 of 102 PageID #: 897
`
`u:8.53993E+O1 s:2.57161e-02
`
`C!
`V’
`~u
`99H
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`5H
`
`ha
`S
`.=
`B
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`
`m
`g
`:2,
`B
`
`EL
`3‘
`
`zai76S‘17SL‘9Sn
`
`I
`
`I
`
`AVERAGE RAW 8 4
`FREQUENCY (Hz)
`5-
`85.38
`
`55.35
`85.34
`
`85.42
`
`
`
`~
`5
`
`.
`1o
`
`.
`15
`
`20
`
`25
`30
`T"“E‘~°”
`u:8.53993e+O1 s:6.41500e-O3
`
`35
`
`40
`
`45
`
`50
`55
`FIG. 31A
`
`AV. FREQUENCY
`FOR AMP. VAR.
`(Hz)
`
`85.41 .
`
`85.38
`
`354
`
`85.39
`
`T
`
`50
`
`55
`
`T”"'E(S)
`
`FIG. 31B
`
`
`
`

`
`
`
`Case 6:12-cv-00799-JRG Document 25-5 Filed 01/31/13 Page 35 of 102 PageID #: 898
`
`
`
`u:8.19240e+O1 s:4.00537e-02
`
`
`
`111313cI'S'fl
`
`E1
`
`S F :
`
`3
`“I9
`3-B
`
`RAW AVERAGE
`FREQUENCY (Hz)
`
`819
`81.85 4
`
`81.8
`
`81.75
`
`m 53 a 3
`
`. 2
`
`za176S‘i7SL‘9Sn
`
`20
`
`30
`
`40
`
`T|ME(S)
`
`u:8.19230e+01 s:2.69478e-02
`
`60
`FIG. 32A
`
`82
`
`CORRECTED 81.95 ‘
`
`FREQUENCY
`
`(Hz)
`
`81.9 1
`
`..
`
`81.85
`
`
`
`20
`
`30
`
`40
`
`50
`
`60
`
`FIG. 32B
`
`
`
`

`
`Case 6:12-cv-00799-JRG Document 25-5 Filed 01/31/13 Page 36 of 102 PageID #: 899
`
`
`
`0.02
`
`0.0‘!
`
`u:9.52729e«04' s:7.18147e-03
`
`SV1 RAW
`PHASE (DEGREES)
`
`%
`
`°
`
`—o.o1
`
`
`
`FIG. 33E
`
`10
`
`2°
`
`40
`
`50
`
`50
`
`!N
`
`S:
`V3
`
`"U
`99or
`(D
`5or
`
`ILJ0vsmusvooz‘zz°Im1‘
`
`C‘
`tn
`
`9*
`xx
`U1
`\_-BU1
`\o
`
`A U
`
`FIG. 33A
`
`CORRECTION
`FOR AMP. VAR.
`
`(DEGREES)
`
`0
`
`-5
`
`0 015
`
`0.01
`
`0.005
`
`CORRECTED
`
`PHASE (DEGREES)
`
`20
`
`3o
`TlME(S)
`u:1.23765e—O6 s:2.85542e—03
`
`40
`
`,
`TIME(S)
`U29.5149'|'e'-"04 s:4.41863e-O3
`
`

`
`Case 6:12-cv-00799-JRG Document 25-5 Filed 01/31/13 Page 37 of 102 PageID #: 900
`
`1
`
`u:4.36399e-01 s:2.04405e-01
`
`'s°r1 0.8
`(DEGREES)
`
`1“319cI
`
`E.=
`vsI9
`5
`
`3
`
`g
`
`E8
`
`’.
`2.,
`2-‘
`
`
`
`ZEIi76S‘17SL‘9Sfl
`
`RAw PHASE o_5
`DIFFERENCE
`(DEGREES)
`
`0.4
`0.2
`
`0
`
`HQ 34A
`
`10
`
`20
`
`so
`
`TlME(S)
`
`40
`
`u:4.36354e-01 s:1.61762e-01
`
`so
`
`so
`
`0.8 A
`
`A
`
`PHASE DlFF=
`CORRECTED FOR
`AMP. VAR.
`
`0.6
`
`0_4
`
`10
`
`20
`
`.30
`'nME(3)
`
`40
`
`50
`
`so
`
`
`
`

`
`Case 6:12-cv-00799-JRG Document 25-5 Filed 01/31/13 Page 38 of 102 PageID #: 901
`
`
`
`u:-2.180469-18 s:4.-118639-03
`
`
`
`
`
`ZEI176S‘17SL‘9SnILJ099199113v00z‘zz°Im1‘1113112(['3'[1
`
`
`
`
`
`
`
`FIG. 35A
`
`10
`
`20
`
`
`
`so
`I.
`u:1 .3974se-'(')"6°s.‘:‘°i).13445e~o2
`
`40
`
`60
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`§_ o.o2
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`
`
`
`
`
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`0
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`:3 -0.01
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`
`95
`
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`
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`
`IG. 35B
`
`30
`
`40
`
`u:9.5O094eE314es(§).31942e~03
`
`
`
`PhasecorrectednorAmp.Var
`
`
`
`20
`
`40
`
`60
`
`
`
`

`
`Case 6:12-cv-00799-JRG Document 25-5 Filed 01/31/13 Page 39 of 102 PageID #: 902
`
`
`
`.5
`.m
`
`"U
`N1-?-
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`51-?-
`
`ZH176S‘17SL‘9SflILJ0Lg13311370%caunl-
`
`u:4.32002e-01 s:2.22420e-O2
`
`.°4:an
`
`§ :
`
`94:A
`
`P A
`
`ID
`
`P 4:
`
`P onon
`
`20
`
`30
`time (S)
`
`40
`
`u:4’.31999e~01 s:2.40919a—03
`
`10
`
`time (s)
`
`
`
`
`
`
`
`
`
`UncorrectedPhaseDifference(degrees)
`
`
`
`

`
`Case 6:12-cv-00799-JRG Document 25-5 Filed 01/31/13 Page 40 of 102 PageID #: 903
`
`
`
`5:‘
`V3
`
`"U
`99or
`(D
`=5or
`
`he
`S
`FN
`“N
`N
`E
`
`m'
`
`.:a‘
`E
`0)oo
`
`3:
`\]>—t
`
`3605
`
`3600
`
`3610
`
`C}
`C/1
`¢\
`11UI
`-IR
`‘in
`\D
`4>
`US
`
`
`
`
`
`PhaseDifference(degrees)
`
`No flow, tubes full, no pump noise
`
`0.002
`
`-0.002
`
`31
`-0.004 %‘
`
`
`
`-0.01
`
`I
`Ratio
`RawéD
`:4.843e-03 011.748 --
`‘ Fourier
`Tamrbased :2.800e-03
`6.792
`Cort. Fourier : 4.1-226-04
`1.000
`
`'
`
`10
`
`20
`
`._
`
`'
`
`30
`time (s)
`
`'
`
`‘
`
`‘
`
`T
`
`;'
`
`~—
`s
`
`3
`0
`
`‘
`
`-A
`
`'5
`_
`
`I
`
`"
`
`;
`
`1
`
`:
`
`40
`
`50
`
`60
`
`FIG. 36A
`
`N
`
`

`
`Case 6:12-cv-00799-JRG Document 25-5 Filed 01/31/13 Page 41 of 102 PageID #: 904
`
`
`
`No How, tubes full, pumps on
`
`0.05
`
`0.04
`
`0.03
`
`I
`
`.0 o —A
`
`~0.02
`
`-0.03
`
`
`
`
`
`PhaseDifference(degrees)
`
`
`
`
`
`ILJ069133118I700Z‘ZZ°““I'JIIBIBJ'S'f1
`
`
`
`
`
`
`
`~0.05
`
`Flatio
`‘
`HawSD
`*
`.
`: 1.6779,-O2-' 14.520
`Fourier
`Time-besed : 9.3 ae”~.03-
`8.529
`Corr§Eourier : 1.1 5ej—o3
`1.000
`
`5
`
`10
`
`20
`
`30
`“'""‘s’
`
`40
`
`50
`
`60
`FIG. 36B
`
`
`
`Z51i76S‘17SL‘9Sn
`
`
`
`

`
`
`
`Case 6:12-cv-00799-JRG Document 25-5 Filed 01/31/13 Page 42 of 102 PageID #: 905
`
`0.06
`
`0.05
`
`o.o4
`
`0.03
`
`0.02
`
`om
`
`o
`
`-0.01
`
`43.02
`
`—
`
`Empty,-wet tubes
`
`"
`
`Raw SD
`
`-
`
`Ratio
`
`: 1.165e-02
`Fourier
`Tnme~based : 6.758e-03
`Corr. Foufler : 2.730e~O3
`
`4.268
`2.476
`1.000
`
`'
`
`v
`
`;-
`--
`
`-
`
`~,
`
`
`
`
`
`PhaseDifference(degrees)
`
`'
`V3
`
`"U
`99
`8
`‘.5H-
`
`HS F
`
`$3
`
`NccA
`
`m'
`
`:a'‘
`(‘D
`
`2Acc
`
`:
`"5
`
`2
`
`C:
`m
`
`9\
`
`l E
`
`5
`
`10
`
`15
`
`20
`
`25
`time (s)
`
`30
`
`35
`
`40
`
`45
`
`50
`
`FIG. 36C
`
`7]]
`\g
`-I:
`
`5:‘
`
`N
`
`

`
`Case 6:12-cv-00799-JRG Document 25-5 Filed 01/31/13 Page 43 of 102 PageID #: 906
`
`
`
`Low flow rate
`
`0.5
`
`0.48 -
`
`0.46
`
`
`
`
`3610
`
`F5
`V3
`
`“U
`991-?-
`(D
`51-?-
`
`
`
`ZEI176S‘17SL‘9SnILJ0Ivmusv00z‘zz°Im1‘
`
`.0 3
`
`
`
` 93:-M PhaseDifference(degrees)
`
`0.38
`
`Raw SD
`: 2.805e'—02
`Fourier
`Time-vbased : 1.472e-02
`Corr. Fourier : 2.4099-03
`
`Raiio
`11.643
`6.112
`1.000 «'
`
`‘
`
`M ;
`‘
`
`A
`
`‘
`
`x
`
`-
`
`~
`
`“"‘°“’
`
`~ 5
`
`_:
`5’
`~*
`
`0
`60
`FIG. 36D
`
`
`
`

`
`Case 6:12-cv-00799-JRG Document 25-5 Filed 01/31/13 Page 44 of 102 PageID #: 907
`
`
`
`
`
`cm.5:2:.:_=.B.3?.9.815adcma.qma.mEan
`
`%mm6.66333
`
`04
`
`05
`
`F
`
`mEL63
`
`H
`
`m
`
`m)
`
`6h3MM.I
`
`SW0
`
`;4
`
`166
`1.1.A
`
`.3}.
`123
`
`
`«an7.35
`
`W?mn
`mum
`
`Wm3w
`
`...5.m.
`
`.
`
`891.102
`
`
`

`
`Case 6:12-cv-00799-JRG Document 25-5 Filed 01/31/13 Page 45 of 102 PageID #: 908
`
`m3w.Mh..nn..aH
`
`W
`
`.6
`
`.m.v..._
`
`0.O.n
`
`W.
`
`4.5
`
`m9,M.Mm..m.
`..mt
`
`'Fme—basad ‘: 3-.9‘356é"0.1
`Corr Foutier : 5.6509-02
`
`5am61.
`
`5..U0004..666333
`
`H
`
`F63
`
`
`
`
`
`cm.5.85.3...B,3?.9.8.a.a.:cm§w_.m$_E
`
`
`
`
`
`.3283oucemufimmmcm
`
`
`

`
`Case 6:12-cv-00799-JRG Document 25-5 Filed 01/31/13 Page 46 of 102 PageID #: 909
`
`
`
`Low flow. low aeration
`
`0.7
`
`0.6 -
`
`
`
`
`
`PhaseDifference(degrees)
`
`
`1“319cI'S'fl
`v00z‘zz°Im1‘
`ILJ01717199113
`za176S‘17SL‘9Sn
`
`
`
`OJ
`
`.
`
`Raw 89
`: 9.902e-02
`Fourier
`Time—based : 5.990e—02
`Corr. Fourier : 2.6162-02
`
`Flam
`3.784
`2.290
`1.000
`
`I
`
`time (s)
`
`
`
`

`
`Case 6:12-cv-00799-JRG Document 25-5 Filed 01/31/13 Page 47 of 102 PageID #: 910
`
`3605
`
`361 0
`
`
`
`cm.5:2:.2...B.3.:2.2.kma3cmsdnrmfE
`
`
`
`
`
`,u¢w|uuw-m‘.:
`
`
`
`
`
`Low flow, high aeration
`
`r
`
`S
`
`I
`
`iE
`
`I
`
`I
`
`30
`time (s)
`
`40
`
`FIG. 36H
`
`
`
`4...1.-.-..m
`
`Ratio;
`1 .280:
`1 .084
`I .000
`
`ssaw-,“gm.
`-HI
`L-1.:R111
`
`I
`
`xI
`
`|
`
`I
`
`;
`
`5
`
`§
`Fourier
`Time-basil
`Corr Foun r
`
`:
`
`:
`
`10
`
`0.8
`
`00.
`
`0.2
`
`
`
`
`
`.8983mocmacfiomazm
`
`
`

`
`Case 6:12-cv-00799-JRG Document 25-5 Filed 01/31/13 Page 48 of 102 PageID #: 911
`
`3.2
`
`High flow, low aeration
`
`Fourier
`‘fime-based
`Corr. Fourier
`
`:3
`.’*;]794e~+-0*.
`:
`1_.~ 389-OI
`: 3.7458-02
`
` F!atio 5
`8526
`4.639
`I .000
`
`RN4|
`
`10
`
`30
`time (5)
`
`FIG. 36I
`
`Omm1666333
`
`
`
`cm.5:2:.:5.B,3?.E523aScma.q%_.mEan
`
`
`
`

`
`Case 6:12-cv-00799-JRG Document 25-5 Filed 01/31/13 Page 49 of 102 PageID #: 912
`
`
`
`
`
`fiwoaoamoceufio32....
`
`O
`
`n..’.Y>4m0HG3_._I.
`
`.m-1.5i-.
`W1:15-....into....Il.I.|:a1l-..®Jm.mm6Wnu3
`
`
`
`aA.0.....H1mmm-
`1«.ixmmwfim
`
`
`..RB4.1
`mmmm
`wusm
`
`K1rL:..w
`
`M
`
`3605
`
`3600
`
`361 0
`
`
`
`cm.5:2:.:_=.B.3?.9.8.3aScma.q%_.mEan
`
`mmm
`
`.....25..-_..m_&?..........UmH-
`
`
`
`
`
`
`
`MWF.
`
`
`
`
`

`
`Case 6:12-cv-00799-JRG Document 25-5 Filed 01/31/13 Page 50 of 102 PageID #: 913
`
`
`
`
`
`ILJ0817wattsv00z‘zz°Im1‘guamd‘Sn
`
`C‘
`CI)
`
`“ax
`\l
`U:
`“A
`U:
`\o
`
`A U
`
`Empty -— High flow transition
`
`3605
`
`'°
`
`3eoo_ 3
`
`{.0G3 .3 O
`
`M PhaseDifference
`(degrees)rt.<3
`
`4:
`
`
`
`~6
`
`‘Raw SD
`.‘1.l61e+00
`Fourier
`‘nme—based : 1.066e+00
`Corr. Fourier : 1.008e+0O
`
`Ratio
`1.152
`1.057
`1.000
`
`5
`
`10
`
`15
`
`20
`
`25
`
`30
`time (s)
`
`35
`
`40
`
`50
`
`55
`
`FICS.
`
`£3€H(
`
`!N
`
`

`
`Case 6:12-cv-00799-JRG Document 25-5 Filed 01/31/13 Page 51 of 102 PageID #: 914
`
`
`
`3605
`
`3600
`3610
`
`.1
`
`
`
`
`
`PhaseDifference(degrees) I—0
`
`High flow - empty transition
`
`.,
`
`Raw SD
`}‘
`: 5.841e—01
`Fourixr
`Time-based : 5.6559-01
`Corr. Fourier ; 5.5469-01
`
`Ratio
`1.053
`1.020
`1.000
`
`10
`
`15
`
`20
`
`25
`
`35
`
`40
`
`45
`
`50
`
`FIG. 36L
`
`time (3)
`
`F5
`V3
`
`"U
`99H
`(D
`=59
`
`ILJ0617Jeansv00z‘zz’un[‘
`
`C1‘
`Cl)
`
`9*
`x:
`U:
`‘A
`U:
`\o
`
`A c
`
`uN
`
`

`
`Case 6:12-cv-00799-JRG Document 25-5 Filed 01/31/13 Page 52 of 102 PageID #: 915
`Case 6:12—cv—00799—JRG Document 25-5 Filed 01/31/13 Page 52 of 102 Page|D #: 915
`
`U.S. Patent
`
`Jun. 22, 2004
`
`Sheet 50 of 71
`
`US 6,754,594 B2
`
`0.35
`
`0.3
`
`0.25
`sensorvoltages(V) O M
`
`
`
`
`
`
`0.15
`
`0.1
`
` —+
`
`°‘°5o
`
`20
`
`40
`
`so u “so
`
`R195
`
`100
`
`140
`120
`FIG. 37A
`
`0.04
`
`—-r——
`
`
`
`——r-—~———-~—-—-———r—
`
`:;
`§ 0.02
`8’
`3.
`o
`-§
`5-0.0?
`
`0
`
`'°’°4o
`
`2o
`
`40
`
`so
`
`time{s)
`
`an
`
`100
`
`12a
`
`140
`
`FIG. 378
`————w-
`
`,
`.
`
`2o
`40
`so
`so
`100
`120
`
`140
`
`tirnets)
`
`HG. 37C
`
`82.2
`
`32.1
`
`§
`
`.
`
`3‘
`
`$1.9
`E
`
`31.3
`
`81‘-'0
`
`

`
`Case 6:12-cv-00799-JRG Document 25-5 Filed 01/31/13 Page 53 of 102 PageID #: 916
`Case 6:12—cv—00799—JRG Document 25-5 Filed 01/31/13 Page 53 of 102 Page|D #: 916
`
`U S Patent
`
`Jun. 22 2004
`
`Sheet 51 of 71
`
`US 6,754,594 B2
`
`
`
`‘
`
`
`
`Difi.o1SVrateofchange
`
`.<'=0‘Q
`SumoiSVrate01change139__cN I
`
`20
`
`40
`
`60
`
`80
`
`100
`
`CD
`
`5
`
`#-
`0
`
`20
`
`I10
`
`60
`
`80
`
`1 (;)O
`
`me“)
`
`1 20
`1 40
`FIG. 37E
`
`

`
`Case 6:12-cv-00799-JRG Document 25-5 Filed 01/31/13 Page 54 of 102 PageID #: 917
`Case 6:12—cv—00799—JRG Document 25-5 Filed 01/31/13 Page 54 of 102 Page|D #: 917
`
`U.S. Patent
`
`Jun. 22, 2004
`
`Sheet 52 of 71
`
`US 6,754,594 B2
`
`mean = 81.9542, std = 0.0173229
`
`
`
`o
`
`20
`
`40
`
`so
`
`so
`
`100
`
`‘"“°“’
`
`120
`140
`FIG. 38A
`
`Mean vafue - 000142862. std = 000522801
`
`53o OO‘°......;l"‘ rawphase
`(degrees)
`
`C
`
`0
`
`20
`
`40
`
`60
`
`80
`
`100
`
`120
`
`140
`
`‘""°‘s’
`
`FIG. 38B
`
`1
`
`Mean value = 000304097. std = 0.341224
`
`
`
`rawphase(degrees) oM
`
`-2
`
`,4
`0
`
`..__J__.
`20
`
`40
`
`60
`
`80
`
`1 00
`
`1 20
`
`1 40
`
`time{s)
`
`FIC-. 38C
`
`

`
`Case 6:12-cv-00799-JRG Document 25-5 Filed 01/31/13 Page 55 of 102 PageID #: 918
`Case 6:12—cv—00799—JRG Document 25-5 Filed 01/31/13 Page 55 of 102 Page|D #: 918
`
`U.S. Patent
`
`Jun. 22, 2004
`
`Sheet 53 of 71
`
`US 6,754,594 B2
`
`Mean value = 000123626. std - 00117307
`9...L
`
` 73‘0
`
`0
`
`20
`
`40
`
`60
`
`""‘°‘s’
`
`80
`
`100
`
`120
`
`FIG 33:)
`
`0 15
`
`Mean value = 0.0169594. std = 0.0234245
`
` 9 an‘
`
`O rawphase(degrees)fl::388
`
`-0.1
`
`
`
`
`
`0
`
`20
`
`40
`
`_ 60
`W
`
`80
`
`100
`120
`FIG 38E
`
`Mean value = 0.144992. std = 000420759
`
`.
`
`1
`
`
`
`20
`
`40
`
`60
`time(s)
`
`80
`
`100
`
`120
`
`FIG. 38F
`
`0.2
`
`E.’
`Q)
`
`:
`
`B0
`
`: 0.15
`$
`J:
`O.
`
`3S
`
`0.1
`
`0
`
`0
`
`2 8
`
`’
`1*.
`en
`tn
`
`3O.
`
`E
`
`-0.1
`
`

`
`Case 6:12-cv-00799-JRG Document 25-5 Filed 01/31/13 Page 56 of 102 PageID #: 919
`Case 6:12—cv—00799—JRG Document 25-5 Filed 01/31/13 Page 56 of 102 Page|D #: 919
`
`U.S. Patent
`
`Jun. 22, 2004
`
`Sheet 54 of 71
`
`US 6,754,594 B2
`
`Mean value = 0.663722. std = 000926315
`
`9xx
`
`0550
`
`20
`
`40
`
`B0
`
`S)
`
`80
`
`1 00
`1 20
`FIG. 386
`
`Mean vatue = 2.89224. std = 0.123418
`
`9’ A
`
`9’
`
`..N
`
`
`
`
`
`rawphase(degrees)9’NO’)Non(.0
`
`
`S“4s
`o
`
`20:
`
`40
`
`60
`t':me(s)
`
`so
`
`100
`
`120
`
`FIG. 38H
`
`

`
`Case 6:12-cv-00799-JRG Document 25-5 Filed 01/31/13 Page 57 of 102 PageID #: 920
`Case 6:12—cv—00799—JRG Document 25-5 Filed 01/31/13 Page 57 of 102 Page|D #: 920
`
`U.S. Patent
`
`Jun. 22, 2004
`
`Sheet 55 of 71
`
`US 6,754,594 B2
`
`mean = 81.9535. std = 000533983
`OJ[0
`
`
`
`correctedfreq(Hertz)S292‘L’:2_3a
`
`81.92
`
`
`‘”"°“’
`FIG 39A
`
`20
`
`40
`
`60
`
`80
`
`100
`
`120
`
`140
`
`X 10-3
`
`Mean value = 000142935, std - 0000659252
`
`'5, 4
`:3;
`§ 2 .
`
`
`
`3-2
`8
`
`'40
`
`20
`
`40
`
`so
`
`so
`
`100
`
`“"‘*“’
`
`120
`140
`FIG 3913
`
`Mean value = 0.0040215, std = 0.0109707
`
`1
`
`E
`
`V
`
`,
`i
`
`I
`
`.07 0.2
`Q)
`92
`8’
`B 0.1
`
`3
`2
`D.
`
`8 0 ‘
`2t
`
`0 °
`
`—0.1
`
`o
`
`20
`
`40
`
`60
`
`so
`
`100
`
`120
`
`140
`
`time(s)
`
`FIG. 39C
`
`

`
`Case 6:12-cv-00799-JRG Document 25-5 Filed 01/31/13 Page 58 of 102 PageID #: 921
`Case 6:12—cv—00799—JRG Document 25-5 Filed 01/31/13 Page 58 of 102 Page|D #: 921
`
`U.S. Patent
`
`Jun. 22, 2004
`
`Sheet 56 of 71
`
`US 6,754,594 B2
`
`Mean value = 000113804. std = 0000601559_fi
`
`X 106
`
`1
`
`~
`
`2
`
`13
`0)
`
`5
`
`2 8
`
`2 0
`0
`8J:
`D.
`
`20
`
`40
`
`so
`‘‘"'°‘*‘’
`
`so
`
`100
`FIG 39
`
`Mean value = 0.0167976. std = 000363328
`
`-5
`
`-10
`o
`
`33
`
`E 8
`
`$0.04
`
`I
`
`120
`
`
`
`§ ‘
`
`3 g
`
`§o.o2 ‘
`2Q
`‘U
`
`o
`o
`
`20
`
`40
`
`so
`"'"°‘s’
`
`so
`
`100
`no
`
`120
`395
`
`Mean value = 0.144992, std ' 000103524
`y.
`
`80
`
`‘I00
`
`*2”
`
` o
`
`20
`
`40
`
`so
`time(s}
`
`

`
`Case 6:12-cv-00799-JRG Document 25-5 Filed 01/31/13 Page 59 of 102 PageID #: 922
`Case 6:12—cv—00799—JRG Document 25-5 Filed 01/31/13 Page 59 of 102 Page|D #: 922
`
`U.S. Patent
`
`Jun. 22, 2004
`
`Sheet 57 of 71
`
`US 6,754,594 B2
`
`0 75
`
`Mean value = 0.663739. $16 = 0.0018275?
`
`
`
`
`
`correctedphase(degrees) 03ii
`
`0.6
`
`‘'‘‘‘‘‘‘I'
`
`0.550
`
`20
`
`40
`
`_ so
`ume(s)
`
`so
`
`100
`
`120
`
`Mean value = 2.89254. std = 000922299
`
`
`
`-
`
`.
`
`.
`
`.
`
`’
`
`‘:'
`
`3.
`
`.
`
`l‘
`
`S
`
`'
`‘
`2 8
`' 0
`
`,
`20
`
`,
`40
`
`,
`
`,
`60
`time(s)
`
`.
`
`,
`80
`
`,
`
`'3
`
`,
`100
`
`120
`
`FIG. 39H
`
`75‘
`
`E 8
`
`’
`E’
`
`8
`z:
`8
`
`

`
`Case 6:12-cv-00799-JRG Document 25-5 Filed 01/31/13 Page 60 of 102 PageID #: 923
`
`Raw Phase error
`
`
`
`fim2uuE._o.=mmanna
`
`-0.5
`
`Stall pain at Foxboro's
`analogue Itansmitler
`
`A! high Iiows. max. dens
`_
`it)! drop
`pre .
`re
`is set by avaflable arr
`(5 bar),
`OT by flowtube tall.
`1 5
`20
`
`10
`
`,5‘
`i
`
`Drop In apparent Density (7.)
`
`
`
`
`
`cm.5:2:.2...31.5.:2.8.mmaScm9§_.m£an
`
`
`

`
`Case 6:12-cv-00799-JRG Document 25-5 Filed 01/31/13 Page 61 of 102 PageID #: 924
`
`
`
`
`
`
`
`
`
`ZHi76S‘i7SL‘9SnILJ069199118i700Z‘ZZ°11“I'111a1e(['S'f1
`
`4000
`
`5
`
`‘Percentage mass flow error
`
`-.2,
`I
`
`.
`
`I
`I
`..I .
`I
`I
`I
`I
`
`,
`
`_
`
`;
`I
`I
`I
`'
`..l..I
`I
`I
`
`-5
`
`3 _,0
`E
`o
`:3
`I
`2.15
`
`.
`
`.
`
`.
`
`.
`
`.
`
`.
`
`_________..
`
`.
`
`2
`1
`
`3
`2
`:. .
`L
`5
`2
`:
`
`_
`
`5
`E
`;
`E
`?
`3 .
`
`_ 3
`"
`
`T
`
`.
`
`=
`
`-20
`
`--
`“ 5
`
`"
`
`~
`j
`:
`'
`'Sla'Il'p'o'i'nI'c’II Fd:':b'c>'rb‘s'
`I analoguatransmitter
`|
`I
`|
`'
`
`‘
`
`;
`3
`'
`
`:
`1
`At high ft_o'w's} I‘na’x. densily drop
`is set by available air pressure
`(5 bar), NOT by flowtube stall.
`:
`:
`
`;
`‘._~\*__;
`E
`T‘ \
`N — ~ 4 - ..
`1
`-Z
`E
`>3 —'- 1.5 kg"/s "'+ '-~-' 119 kg]:
`1* = 1.6 kg/5
`0 = 2.0 kg/s
`Q = 1.7 kg/s
`l_> = 2.1 kg/s
`Q = 1.8 kg/s
`<_1 = 2.5 kg/s
`
`.
`
`.
`
`.
`
`. .,
`
`3
`fifi =”3.0 I-<'g‘/S"
`I.» n 3.5 kg/s
`no -= 3.8 kg/s
`>_.< = 4.0 kg/s
`
` 0
`
`5
`
`10
`
`15
`
`20
`Drop in apparent Density (96)
`
`25
`
`
`
`

`
`Case 6:12-cv-00799-JRG Document 25-5 Filed 01/31/13 Page 62 of 102 PageID #: 925
`
`
`
`Residual phase error aner correction for bubble eflect
`
`0.3
`
`0.25
`
`0.2
`
`0.15
`
`0.1
`
`0.05
`
`
`
`Phaseerror(degrees)
`
`-0.05
`
`'1' Stall bdiritbi Fd)'<bb'rb's''
`1 analogueitransmiller
`
`‘
`
`' J" ‘
`
`'
`
`'
`
`' At high" nisws.'max.‘d'e'nsa:;é'dmp'
`is set by favailable air pressure
`(5 bar), NOT by flowtube slall.
`
`>.i'='1j5k‘g'ls
`4! =I.6kgIs
`I; =1.7kgIs
`O =1.Bkg/s
`
`_
`
`.J;r._=,1i'9.kg/S.
`0 = 2.0 kgls
`> = 2.1 kgls
`«:1 = 2.5 kg/s
`
`.. is =“3.o kg‘/‘s
`A’ = 3.5 kg/5
`up = 3.3 kg/s
`gs = 4.0 kg/s
`
`I5
`
`20
`Drop in apparent Density (°/o)
`
`25
`
`30
`
`35
`
`40
`
`FIG. 40C
`
`
`
`
`
`ZH176S‘i7SL‘9SnILJ009199113vooz‘zz°Im1‘guawd'S'f1
`
`
`
`

`
`Case 6:12-cv-00799-JRG Document 25-5 Filed 01/31/13 Page 63 of 102 PageID #