Case 6:12-cv-00799-JRG Document 81-3 Filed 10/25/13 Page 1 of 121 PageID #: 1958
`Case 6:12—cv—00799—JRG Document 81-3 Filed 10/25/13 Page 1 of 121 Page|D #: 1958
`
`
`EXHIBIT A
`
`EXHIBIT A
`
`
`
`
`
`
`
`
`

`
`Case 6:12-cv-00799-JRG Document 81-3 Filed 10/25/13 Page 2 of 121 PageID #: 1959
`I lllll llllllll Ill lllll lllll lllll lllll lllll 111111111111111111111111111111111
`US007124646B2
`
`c12) United States Patent
`Henry et al.
`
`(IO) Patent No.:
`(45) Date of Patent:
`
`US 7,124,646 B2
`Oct. 24, 2006
`
`(54) CORRECTING FOR TWO-PHASE FLOW IN
`A DIGITAL FLOWMETER
`
`(75)
`
`Inventors: Manus P. Henry, Oxford (GB); Maria
`Jesus De La Fuente, Valladolid (ES)
`
`(73) Assignee: Invensys Systems, Inc., Foxboro, MA.
`(US)
`
`( *) Notice:
`
`Subject to any disclaimer, the term of this
`patent is extended or adjusted under 35
`U.S.C. 154(b) by 0 days.
`
`(21) Appl. No.: 111207,876
`
`(22) Filed:
`
`Aug. 22, 2005
`
`(65)
`
`Prior Publication Data
`
`US 2005/0284237 Al
`
`Dec. 29, 2005
`
`Related U.S. Application Data
`
`(63) Continuation-in-part of application No. 11/130,233,
`filed on May 17, 2005, and a continuation of appli(cid:173)
`cation No. 10/831,228, filed on Apr. 26, 2004, now
`Pat. No. 6,981,424, which is a continuation of appli(cid:173)
`cation No. 10/637,620, filed on Aug. 11, 2003, now
`Pat. No. 6,917,887, which is a continuation of appli(cid:173)
`cation No. 10/339,623, filed on Jan. 10, 2003, now
`Pat. No. 6,758,102, which is a continuation of appli(cid:173)
`cation No. 09/931,057, filed on Aug. 17, 2001, now
`Pat. No. 6,754,594, which is a continuation of appli(cid:173)
`cation No. 09/815,273, filed on Mar. 23, 2001, now
`Pat. No. 6,505,519, and a continuation of application
`No. 09/716,644, filed on Nov. 21, 2000, now aban(cid:173)
`doned, which is a continuation of application No.
`09/111,739, filed on Jul. 8, 1998, now Pat. No.
`6,311,136.
`
`(60) Provisional application No. 60/191,465, filed on Mar.
`23, 2000, provisional application No. 60/066,554,
`filed on Nov. 26, 1997.
`
`(51)
`
`Int. Cl.
`GOJF 1184
`
`(2006.01)
`
`(52) U.S. Cl. ................................................. 73/861.356
`(58) Field of Classification Search ........... 73/861.356,
`73/861.357, 861.358; 702/45
`See application file for complete search history.
`
`(56)
`
`References Cited
`
`U.S. PATENT DOCUMENTS
`
`3,956,682 A
`RE29,383 E
`4,358,822 A
`RE31,450 E
`
`5/1976 Van Dyck
`9/1977 Gallatin et al.
`11/1982 Sanchez
`11/1983 Smith
`
`(Continued)
`
`FOREIGN PATENT DOCUMENTS
`
`EP
`
`0 696 726 A
`
`2/1996
`
`(Continued)
`
`OTHER PUBLICATIONS
`
`DeCarlo, Joseph; "True Mass-Flow Measurement"; Fundamentals
`of Flow Measurement, Unit 11-2; pp. 208-220; 1984.
`
`(Continued)
`
`Primary Examiner-Jewel V. Thompson
`(74) Attorney, Agent, or Firm-Fish & Richardson P.C.
`
`(57)
`
`ABSTRACT
`
`A flowmeter is disclosed. The flowmeter includes a vibrat(cid:173)
`able conduit, and a driver connected to the conduit that is
`operable to impart motion to the conduit. A sensor is
`connected to the conduit and is operable to sense the motion
`of the conduit and generate a sensor signal. A controller is
`connected to receive the sensor signal. The controller is
`operable to detect a single-phase flow condition and process
`the sensor signal using a first process during the single-phase
`flow condition to generate a validated mass-flow measure(cid:173)
`ment. The controller is also operable to detect a two-phase
`flow condition and process the sensor signal using a second
`process during the two-phase flow condition to generate the
`validated mass-flow measurement.
`
`19 Claims, 84 Drawing Sheets
`
`Massflow
`Measurement
`
`100
`;ii
`
`Digital
`Controller
`
`Temp.
`Sensor
`
`I
`I
`I
`
`~-Dr_iv_er,..-11:--S---'----..---'
`
`120
`
`

`
`Case 6:12-cv-00799-JRG Document 81-3 Filed 10/25/13 Page 3 of 121 PageID #: 1960
`Case 6:12-cv-00799-JRG Document 81-3 Filed 10/25/13 Page 3 of 121 Page|D #: 1960
`
`US 7,124,646 B2
`Page 2
`
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`4,773,257 A
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`
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`
`6,505,519 B1*
`6,507,791 B1
`6,551,251 B1
`6,564,619 B1
`617581102 131*
`2002/0033043 A1
`2002/0038186 A1
`2002/0133307 A1
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`
`......... .. 73/861.356
`
`1/2003 Henry et al.
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`4/2003 Zuckerwar etal.
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`3/2002 Dutton etal.
`3/2002 Henry etal.
`9/2002 Maginnis
`3/2006 Logue etal.
`
`......... N 73/861.356
`
`............... .. 702/45
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`
`41852395 A
`
`8/1989 K°1P‘1k
`
`EP
`
`W0
`
`0 702 212
`
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`
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`
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`
`4,891,991 A
`4,895,030 A
`4,911,006 A
`4,911,020 A
`4’934’195 A
`4,934,196 A
`4’996’871 A
`5’027’662 A
`5’029’482 A
`5,050,439 A
`5052 231 A
`'
`'
`5’054’313 A
`5’054’326 A
`512181899 A
`5’228’327 A
`5’259’250 A
`5’271’281 A
`5'295'084 A
`5’301’557 A
`5,343,764 A
`5’347’874 A
`5’400’653 A
`5’429’002 A
`5’469’748 A
`5’497’665 A
`5’497’666 A
`5,535,632 A
`5 555 190 A
`’
`’
`5’570’300 A
`5’578’764 A
`5,594,180 A
`5’648’616 A
`5’654’502 A
`5’687’100 A
`5’732’193 A
`5’734’112 A
`5,774,378 A
`5’804’741 A
`5,877,954 A
`5,926,096 A
`5,969,264 A
`6’073’495 A
`6’092’429 A
`6,185,470 B1
`6301973 B1
`6,309,342 B1
`6’311’136 B1
`6’318’156 B1
`6,318,186 B1
`6,327,914 B1
`6,505,131 B1
`
`1/1990 Mattar et al.
`1/1990 Bergamini et al.
`3/1990 Hargarten et al.
`3/1990 Thompson
`6/1990 11113511111
`6/1990 Romano
`3/1991 Romano
`7/1991 T1110W e1 111'
`7/1991 L111 et 111'
`9/1991 Thompson
`10/1991 Christ etal.
`.
`10/1991 F11Zge111111 e1 111'
`10/1991 Mattar
`9/1993 P““““‘°4
`7/1993 13111011
`11/1993 K01p11k
`12/1993 Mattar 111111
`3/1994 A1u1111c11a111m 6131'
`4/1994 Cage e1 111'
`9/1994 Mattar et al.
`9/1994 Ka101aye1a1'
`3/1995 K1110111y
`7/1995 C01e1111111
`11/1995 K1110111y
`3/1996 Cage e1 111'
`3/1996 Patten et 111'
`7/1996 Kolpak
`9/1996 Derbye1a11
`10/1996 Henry e1 111'
`11/1996 Y0k01e1111'
`1/1997 Carpenter et al.
`7/1997 Kee1
`8/1997 Dutton
`11/1997 1311111111 e1 111'
`3/1998 Aberson
`3/1998 Bose e1 111'
`6/1998 Yang
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`3/1999 Kimasauskas et al.
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`
`.
`
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`1‘
`.
`.
`31:"r'ZZ§i;;m1LZf§’1%$§o5’§h§§§°f;?§3EI§Z?§ 1111111118137
`ASME Fluid Engineering Division Publication FED vol 17 pp,
`75_84 1984
`’
`'
`’
`'
`J. Hemp et a1.‘ “On the Theory and Performance of Coriolis Mass
`Flowmeters” Proceedings of the International Conference on Mass
`Flow Measurement Direct and Indirect‘ IBC Technical Services‘ 40
`1
`1
`1
`.
`.
`.
`pages’ L°“d°“’ Feb'.1989‘
`Henry, M.P., ‘“Ii1telligei1t’ Behaviour For Self-Validating Sensors”,
`Advances In Measurement pp 1-7 date unknown
`Henry MP “Self-Validation Improves Coriolis Meter” Control
`Engineering, 42 (6) pp. 81-86 (1995).
`’
`Henry VI P, “Sensor Validation and Fieldbus” IEEE Computing
`and Cor1trol,Engineering Journal 6 (6) pp. 263-269.
`Henry MP et al
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`Improved .A..[,121lySCl'T1C1'fOl'II13.I1CC IMC Mai‘. 17 1992.
`I
`Henry M P et al
`“A Self-Validating,Digital Coriolis Mass-flow
`Meter; (1')."0VerV1'éW 1999
`Henry
`et al. ,“A Standard Interface For Self-Validating
`Sensors” Report No,QUEL 1884/91 University of Oxford Depart-
`ment of Engineering Science Sep. 1991.
`I
`Henry VI P et al
`“Signal Processing Data Handling and Com-
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`Henry M.P. et al. “The Implications Of Digital Communications
`’
`’ 1.111.’
`,, R
`11 N
`UEL 1912/92 U .
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`1
`on Sensor Vai aion ,
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`_o. Q _
`,
`niversity o
`Oxford, Department of Engineering Science, Apr. 1992.
`Henry M P et al
`“The Self-Validating Sensor‘ Rationale Defini-
`tions ,and. Examples” Control Engineering Practice
`1
`(4) pp
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`’
`585_619 1993
`’
`’
`Liu R.PI et al. “A Neural Network to Correct Mass Flow Errors
`Caused by Two ,Phase Flow in a Digital Coriolis Mass Flow Meter”.
`Engineering Science Department Oxford University
`Luntta E. et al. “Neural Network Approach to Ultrasonic Flow
`Measurements” Flow Measurement and Instrumentation vol 10
`’
`’
`'
`’
`II:/II)erfFa-riI1?{’\/1<eT)9sFer’s Colle iate Diction
`Tenth Edition 1998
`’p'
`my’
`747
`*3
`’
`-'
`..
`-
`II:1<:,1iIr1111:ir111(r)1I,11.1., D<=4\;<e9lo4)(1r21ents in Tow-Phase Mass Flow Rate Instru-
`Skea AF 5 ‘I?Elfects of Cas Leaks in Oil Flow on Single-Phase
`Flowineters” Flow Measurement and Instrumentation vol 10 pp
`'
`146_1§9 (1999).
`’
`'
`’
`Spitzer David A. “Mass Flowmeters ” Industries Flow Measure-
`ment éhapter 12’ pp 197919 1999’
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`Densiineters,” Rev Sci
`Instrum vol 60 No 3 Mar 1989 pp
`493_494
`’
`'
`"
`'
`’
`'
`’
`'
`’
`'
`* cited by examiner
`
`'
`
`'
`
`

`
`Case 6:12-cv-00799-JRG Document 81-3 Filed 10/25/13 Page 4 of 121 PageID #: 1961
`Case 6:12—cv—00799—JRG Document 81-3 Filed 10/25/13 Page 4 of 121 Page|D #: 1961
`
`U.S. Patent
`
`Oct. 24,2006
`
`Sheet 1 of 84
`
`US 7,124,646 B2
`
`Massflow
`
`Measurement
`
`100
`
`105
`
`120
`
`F|G.1
`
`

`
`Case 6:12-cv-00799-JRG Document 81-3 Filed 10/25/13 Page 5 of 121 PageID #: 1962
`Case 6:12—cv—00799—JRG Document 81-3 Filed 10/25/13 Page 5 of 121 Page|D #: 1962
`
`U.S. Patent
`
`Oct. 24,2006
`
`Sheet 2 of 84
`
`US 7,124,646 B2
`
`

`
`Case 6:12-cv-00799-JRG Document 81-3 Filed 10/25/13 Page 6 of 121 PageID #: 1963
`Case 6:12—cv—00799—JRG Document 81-3 Filed 10/25/13 Page 6 of 121 Page|D #: 1963
`
`U.S. Patent
`
`Oct. 24,2006
`
`Sheet 3 of 84
`
`US 7,124,646 B2
`
`

`
`Case 6:12-cv-00799-JRG Document 81-3 Filed 10/25/13 Page 7 of 121 PageID #: 1964
`Case 6:12—cv—00799—JRG Document 81-3 Filed 10/25/13 Page 7 of 121 Page|D #: 1964
`
`U.S. Patent
`
`Oct. 24,2006
`
`Sheet 4 of 84
`
`US 7,124,646 B2
`
`0.
`
`Z
`3 3
`E Qo 2
`
`0
`
`0 .T_.?TL——L__ D U
`M
`2
`LI.
`
`co
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`
`0.
`
`Q
`
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`
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`‘D
`
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`Q 8 _-_o___-———O—I———E3——---
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`j
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`
`

`
`Case 6:12-cv-00799-JRG Document 81-3 Filed 10/25/13 Page 8 of 121 PageID #: 1965
`Case 6:12—cv—00799—JRG Document 81-3 Filed 10/25/13 Page 8 of 121 Page|D #: 1965
`
`U.S. Patent
`
`Oct. 24,2006
`
`Sheet 5 of 84
`
`US 7,124,646 B2
`
`Smmmooi
`
`

`
`Case 6:12-cv-00799-JRG Document 81-3 Filed 10/25/13 Page 9 of 121 PageID #: 1966
`Case 6:12—cv—00799—JRG Document 81-3 Filed 10/25/13 Page 9 of 121 PagelD #: 1966
`
`U.S. Patent
`
`Oct. 24,2006
`
`Sheet 6 of 84
`
`US 7,124,646 B2
`
`500
`
`E‘
`
`LC5
`
`L0
`
`LO
`
`E?
`
`L0
`
`120 Measurements
`
`FIG.5
`
`
`
`DigitalController
`
`LO
`LO
`LO
`
`

`
`Case 6:12-cv-00799-JRG Document 81-3 Filed 10/25/13 Page 10 of 121 PageID #: 1967
`Case 6:12—cv—00799—JRG Document 81-3 Filed 10/25/13 Page 10 of 121 Page|D #: 1967
`
`U.S. Patent
`
`Oct. 24,2006
`
`Sheet 7 of 84
`
`US 7,124,646 B2
`
`600
`
`/V
`
`605
`
`610
`
`615
`
`Collect
`
`Data
`
`Determine
`
`Frequency
`
`Determine/Eliminate
`
`Offset
`
`
`
`
`
`
`
`
`
`
`
`Determine
`
`Amplitude
`
`Determine
`
`Phase
`
`Generate Drive
`
`Signal
`
`Generate
`
`Measurements
`
`F|G.6
`
`620
`
`625
`
`630
`
`635
`
`
`
`

`
`Case 6:12-cv-00799-JRG Document 81-3 Filed 10/25/13 Page 11 of 121 PageID #: 1968
`Case 6:12—cv—00799—JRG Document 81-3 Filed 10/25/13 Page 11 of 121 Page|D #: 1968
`
`U.S. Patent
`
`Oct. 24,2006
`
`Sheet 8 of 84
`
`US 7,124,646 B2
`
`start_san1p|e_S1
`
`S1-in
`
`Voltage
`
`F|G.7A
`
`Voltage
`
` start_offset_S2
`r4
`
`Time
`
`
`
`
`start_samp|e_S2
`
`F|G.7B
`
`

`
`Case 6:12-cv-00799-JRG Document 81-3 Filed 10/25/13 Page 12 of 121 PageID #: 1969
`Case 6:12—cv—00799—JRG Document 81-3 Filed 10/25/13 Page 12 of 121 Page|D #: 1969
`
`U.S. Patent
`
`Oct. 24,2006
`
`Sheet 9 of 84
`
`US 7,124,646 B2
`
`0.12
`
`0.1
`
`Square of
`Sensor Voltage
`(VDV)
`
`°'°8
`
`0.06
`
`0.04
`
`0.02
`
`0
`
`0
`
`3x10"
`
`2.5
`
`2
`
`,5
`
`1
`
`0.5
`
`0
`
`Square of
`Sensor Voltage
`(V‘V)
`
`0.005
`
`0.01
`
`0.015
`
`0.02
`
`0.025
`
`0.03
`
`Tirne(s)
`
`FIG. 8A
`
`-0.5
`0.0121
`
`0.0121
`
`0.0122
`
`0.0122
`
`0.0123
`
`0.0123
`
`Time 8()
`
`F|G.8B
`
`

`
`Case 6:12-cv-00799-JRG Document 81-3 Filed 10/25/13 Page 13 of 121 PageID #: 1970
`Case 6:12—cv—00799—JRG Document 81-3 Filed 10/25/13 Page 13 of 121 PagelD #: 1970
`
`U.S. Patent
`
`Oct. 24,2006
`
`Sheet 10 of 84
`
`US 7,124,646 B2
`
`905
`
`Initialize Variables
`
`910
`
`,
`.
`Estimate end_point
`
`Determine # of Points
`for Curve Fitting
`
`iteration_count = O
`
`91
`
`5
`
`9
`
`20
`
`592
`
`iteration_count = iteration_count + 1
`
`900
`
`/V
`
`930
`
`935
`
`Select step length
`
`ep_int = int end_point + 0.5)
`
`
`
`
`
`Fit Quadratic
`
`Calculate 2* 8 x*
`
`iteration_count<3
`
`975
`
`Calculate Frequency
`
`Fill 2 Array
`
`Smooth z[k-1], z[k], z[k+1]
`
`940
`
`945
`
`950
`
`95
`
`5
`
`

`
`Case 6:12-cv-00799-JRG Document 81-3 Filed 10/25/13 Page 14 of 121 PageID #: 1971
`Case 6:12—cv—00799—JRG Document 81-3 Filed 10/25/13 Page 14 of 121 Page|D #: 1971
`
`U.S. Patent
`
`Oct. 24,2006
`
`Sheet 11 of 84
`
`US 7,124,646 B2
`
`1005
`
`1000
`
`/V
`
`1010
`
`
`Determine
`f2m1.
`f1m2
`
`
`1015
`
`Determine Start and
`
`End Of dimz. d2m1
`
`
`
`
`1020
`
`Determine Phase.
`
`
`
`Amplitude for di and
`02m. and Phase
`Difference
`
`
`
`
`1025
`
`1080
`
`Repeat for
`
`d2: d1m2
`
`Generate Averages
`of Amplitude 8
`Phase Differences
`
`F|G.10
`
`

`
`V
`Case 6:12-cv-00799-JRG Document 81-3 Filed 10/25/13 Page 15 of 121 PageID #: 19722791
`aC
`
`
`
`
`
`
`
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`
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`Case 6:12-cv-00799-JRG Document 81-3 Filed 10/25/13 Page 16 of 121 PageID #: 19733791
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`Case 6:12-cv-00799-JRG Document 81-3 Filed 10/25/13 Page 18 of 121 PageID #: 1975
`Case 6:12—cv—00799—JRG Document 81-3 Filed 10/25/13 Page 18 of 121 Page|D #: 1975
`
`U.S. Patent
`
`Oct. 24,2006
`
`Sheet 15 of 84
`
`US 7,124,646 B2
`
`1405
`
`Estimate Nominal
`
`Operating Frequency
`
`1410
`
`1415
`
`1420
`
`1425
`
`1430
`
`1435
`
`1440
`
`1445
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`1400
`
`/V
`
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`Nominal Signals
`
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`
`Eliminate
`
`High f Components
`
`Combine Signals
`to Produce u[k]
`
`Calculate Frequency
`
`Deviation
`
`Add to
`
`Nominal Frequency
`
`Amplitude
`
`Determine
`
`Phase Difference
`
`.
`
`

`
`Case 6:12-cv-00799-JRG Document 81-3 Filed 10/25/13 Page 19 of 121 PageID #: 1976
`Case 6:12—cv—00799—JRG Document 81-3 Filed 10/25/13 Page 19 of 121 Page|D #: 1976
`
`U.S. Patent
`
`Oct. 24,2006
`
`Sheet 16 of 84
`
`US 7,124,646 B2
`
`Flow
`urement
`
`1500
`
`Digital Controller
`
`
`
`
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`D/ A
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`
`
`
`I
`
`1560
`
`
`
`1505
`
`1550
`
`Sensor
`
`FIG. 1513
`
`

`
`Case 6:12-cv-00799-JRG Document 81-3 Filed 10/25/13 Page 20 of 121 PageID #: 1977
`Case 6:12—cv—00799—JRG Document 81-3 Filed 10/25/13 Page 20 of 121 Page|D #: 1977
`
`U.S. Patent
`
`Oct. 24,2006
`
`Sheet 17 of 84
`
`US 7,124,646 B2
`
`89
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`Case 6:12-cv-00799-JRG Document 81-3 Filed 10/25/13 Page 21 of 121 PageID #: 1978
`Case 6:12—cv—00799—JRG Document 81-3 Filed 10/25/13 Page 21 of 121 Page|D #: 1978
`
`U.S. Patent
`
`Oct. 24,2006
`
`Sheet 18 of 84
`
`US 7,124,646 B2
`
`
`
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`
`

`
`Case 6:12-cv-00799-JRG Document 81-3 Filed 10/25/13 Page 22 of 121 PageID #: 1979
`Case 6:12—cv—00799—JRG Document 81-3 Filed 10/25/13 Page 22 of 121 Page|D #: 1979
`
`U.S. Patent
`
`Oct. 24,2006
`
`Sheet 19 of 84
`
`US 7,124,646 B2
`
`X10-6
`
`SV1: -ve Gain
`
`
`
`20
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`FIG. 19B
`
`

`
`Case 6:12-cv-00799-JRG Document 81-3 Filed 10/25/13 Page 23 of 121 PageID #: 1980
`Case 6:12—cv—00799—JRG Document 81-3 Filed 10/25/13 Page 23 of 121 Page|D #: 1980
`
`U.S. Patent
`
`Oct. 24,2006
`
`Sheet 20 of 84
`
`US 7,124,646 B2
`
`X 10-6
`
`SV1: +ve Gain
`
`
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`20
`
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`
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`
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`20
`
`30
`
`40
`
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`
`

`
`Case 6:12-cv-00799-JRG Document 81-3 Filed 10/25/13 Page 24 of 121 PageID #: 1981
`Case 6:12—cv—00799—JRG Document 81-3 Filed 10/25/13 Page 24 of 121 Page|D #: 1981
`
`U.S. Patent
`
`Oct. 24,2006
`
`Sheet 21 of 84
`
`US 7,124,646 B2
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`Case 6:12-cv-00799-JRG Document 81-3 Filed 10/25/13 Page 25 of 121 PageID #: 1982
`Case 6:12—cv—00799—JRG Document 81-3 Filed 10/25/13 Page 25 of 121 Page|D #: 1982
`
`U.S. Patent
`
`Oct. 24,2006
`
`Sheet 22 of 84
`
`US 7,124,646 B2
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`18
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`Case 6:12-cv-00799-JRG Document 81-3 Filed 10/25/13 Page 26 of 121 PageID #: 1983
`Case 6:12—cv—00799—JRG Document 81-3 Filed 10/25/13 Page 26 of 121 Page|D #: 1983
`
`U.S. Patent
`
`Oct. 24,2006
`
`Sheet 23 of 84
`
`US 7,124,646 B2
`
`
` 2210
`
`
`Every 10.000 Cycles:
`Check Slope of A1
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`2215
`
`Every Cycle: Calculate Iws. Ims.
`11Pc. 11Nc. I2PS'
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`
`
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`amp_factor
`
`Estimate Amplitudes
`
`
`
`Improve Estimate
`
`Adjust Raw Data
`
`

`
`Case 6:12-cv-00799-JRG Document 81-3 Filed 10/25/13 Page 27 of 121 PageID #: 1984
`Case 6:12—cv—00799—JRG Document 81-3 Filed 10/25/13 Page 27 of 121 Page|D #: 1984
`
`U.S. Patent
`
`Oct. 24,2006
`
`Sheet 24 of 84
`
`US 7,124,646 B2
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`Case 6:12-cv-00799-JRG Document 81-3 Filed 10/25/13 Page 28 of 121 PageID #: 1985
`Case 6:12—cv—00799—JRG Document 81-3 Filed 10/25/13 Page 28 of 121 Page|D #: 1985
`
`U.S. Patent
`
`Oct. 24,2006
`
`Sheet 25 of 84
`
`US 7,124,646 B2
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`Case 6:12-cv-00799-JRG Document 81-3 Filed 10/25/13 Page 29 of 121 PageID #: 1986
`Case 6:12—cv—00799—JRG Document 81-3 Filed 10/25/13 Page 29 of 121 PagelD #: 1986
`
`U.S. Patent
`
`Oct. 24,2006
`
`Sheet 26 of 84
`
`US 7,124,646 B2
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`Cycle n
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`Case 6:12-cv-00799-JRG Document 81-3 Filed 10/25/13 Page 30 of 121 PageID #: 1987
`Case 6:12—cv—00799—JRG Document 81-3 Filed 10/25/13 Page 30 of 121 Page|D #: 1987
`
`U.S. Patent
`
`Oct. 24,2006
`
`Sheet 27 of 84
`
`US 7,124,646 B2
`
`2600
`
`/V
`
`Produce Frequency
`
`Estimate
`
`
`
`Estimate Amplitude ,
`& Phase
`.
`
`Calculate Phase
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`Difference
`
`
`
`2605
`
`
`
`2610
`
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`
`2615
`
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`
`Determine Amplitude 1
`Rate of Change
`
`
`
`
`2630
`
`Correct
`Frequency
`
`Compensate
`Phase
`
`
`
`
`
`

`
`Case 6:12-cv-00799-JRG Document 81-3 Filed 10/25/13 Page 31 of 121 PageID #: 19888%1
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`Case 6:12-cv-00799-JRG Document 81-3 Filed 10/25/13 Page 32 of 121 PageID #: 19899m
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`Case 6:12-cv-00799-JRG Document 81-3 Filed 10/25/13 Page 34 of 121 PageID #: 1991
`Case 6:12—cv—00799—JRG Document 81-3 Filed 10/25/13 Page 34 of 121 Page|D #: 1991
`
`U.S. Patent
`
`Oct. 24,2006
`
`Sheet 31 of 84
`
`US 7,124,646 B2
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`Case 6:12-cv-00799-JRG Document 81-3 Filed 10/25/13 Page 35 of 121 PageID #: 1992
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`Case 6:12-cv-00799-JRG Document 81-3 Filed 10/25/13 Page 37 of 121 PageID #: 1994
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`U.S. Patent
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`Oct. 24,2006
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`Sheet 37 of 84
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`US 7,124,646 B2
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`Case 6:12-cv-00799-JRG Document 81-3 Filed 10/25/13 Page 44 of 121 PageID #: 2001
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`Case 6:12-cv-00799-JRG Document 81-3 Filed 10/25/13 Page 48 of 121 PageID #: 2005
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`Case 6:12-cv-00799-JRG Document 81-3 Filed 10/25/13 Page 52 of 121 PageID #: 2009
`Case 6:12—cv—00799—JRG Document 81-3 Filed 10/25/13 Page 52 of 121 Page|D #: 2009
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`U.S. Patent
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`Oct. 24,2006
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`Sheet 49 of 84
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`US 7,124,646 B2
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`Case 6:12-cv-00799-JRG Document 81-3 Filed 10/25/13 Page 53 of 121 PageID #: 2010
`Case 6:12—cv—00799—JRG Document 81-3 Filed 10/25/13 Page 53 of 121 Page|D #: 2010
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`U.S. Patent
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`Sheet 50 of 84
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`20
`
`40
`
`-
`80
`
`60
`
`time(s)
`
`100
`
`120
`
`140
`
`FIG. 37
`
`0.35
`
`0.3
`
`0.25
`
`
`
`sensorevoltages(V)
`
`C) N
`
`0.15
`
`0.1
`
`0.05
`
`0
`
`0.04
`
`z
`
`E
`cg 0.02
`C)(D
`
`0
`
`3e
`
`n
`ll)
`£6
`
`fi
`;-0.02
`S
`
`0.04
`0
`
`
`
`' 0
`
`20
`
`40
`
`so
`
`so
`
`160
`
`“mew
`
`120
`140
`FIG. 37C
`
`

`
`Case 6:12-cv-00799-JRG Document 81-3 Filed 10/25/13 Page 54 of 121 PageID #: 2011
`Case 6:12—cv—00799—JRG Document 81-3 Filed 10/25/13 Page 54 of 121 Page|D #: 2011
`
`U.S. Patent
`
`Oct. 24,2006
`
`Sheet 51 of 84
`
`US 7,124,646 B2
`
`0
`
`QL.»
`
`Diff.ofSVrateofchange
`
`-0.1
`
`0
`
`O’)
`
`20
`
`40
`
`60
`
`80
`
`100
`
`“”‘°‘5’
`
`0
`140
`FIG. 37D
`
`SumofSVrateofchange Ho
`
`-55
`
`N 0
`
`A
`
`0
`
`2'0
`
`4:0
`
`60
`
`80
`
`100
`
`mas’
`
`1é0
`140
`FIG. 37E
`
`

`
`Case 6:12-cv-00799-JRG Document 81-3 Filed 10/25/13 Page 55 of 121 PageID #: 2012
`Case 6:12—cv—00799—JRG Document 81-3 Filed 10/25/13 Page 55 of 121 Page|D #: 2012
`
`U.S. Patent
`
`Oct. 24,2006
`
`Sheet 52 of 84
`
`US 7,124,646 B2
`
`82.2
`
`mean = 81.9542. std = 0.0173229
`
`A821
`N
`‘<5
`{E 82
`E
`~‘—’ 81.9
`
`3E
`
`9
`
`I
`I
`
`y
`
`»—-
`
`_E
`
`81.?81.8