A MEASUREMENT ASSURANCE PROGRAM FOR CALIBRATION BY THE STATIC WEIGH METHOD CS5000
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1 A EAUREENT AURANCE PROGRA FOR CALIBRATION BY THE TATIC WEIGH ETHOD C5000 JI HITCHAN AND TEVE NGUYEN, NOVEBER. 3, 05 Thi document outline the eurement Aurnce Progrm (AP) for eetric C5000 flo meurement ytem liquid flo meurement ytem ued to clibrte liquid flo meter. It conit of four element: ) clibrtion of meurement device, ) ttiticl proce control of meurement device, 3) meurement uncertinty nlyi, nd 4) proficiency tet. Thi AP i reponible for proce control, mintining qulity of meurement, nd trcebility to Ntionl Intitute of tndrd nd Technology (NIT) tndrd. AP re necery to mintin qulity urnce nd tie to ntionl tndrd []. They ure qulity of ll meurement device nd tet procedure nd ure tte of ttiticl control of the meurement proce. Upon etblihing trcebility to ntionl tndrd AP my be implemented to mintin it over time. Thi document outline the AP ued to evlute nd mnge eetric liquid flo clibrtion ytem. L of propgtion of error i ued to predict meurement uncertinty []. A proficiency tet i ued to vlidte the ytem meurement. Proce control i mintined by ttiticl Proce Control (PC) [3]. Under thi AP liquid flo rte meurement re trced to NIT nd meurement qulity i mintined. ETHOD Liquid flo meter clibrtion re performed by driving liquid ter t contnt flo rte through ytem of cloed conduit nd referencing primry flo meter (meter under tet) to econdry flo reference (flo tndrd). The flo reference re grvimetric ttic eigh ytem. Ech reference conit of collection tnk reting on lod cell, temperture probe, fihtil for flo profile control, nd flo diverter. All component re connected by teel pipe. Uptrem of the primry meter re ection of tright pipe tht re ufficient in length to fully develop flo. Prior to collecting meurement therml tedy tte, hydrodynmic tedy tte, nd tet meter output tedy tte re obtined. After ll tedy tte re obtined, the cle i trred nd the diverter i ctuted cuing the flo to chnge coure from returning to the torge tnk to the collection tnk. The motion of the diverter ynchronouly trt collection timer. After predetermined volume h been collected, the diverter i dectivted; cuing the flo to divert bck to the torge tnk nd ynchronouly topping the collection timer. At thi point the eight nd temperture of the ter inide the collection tnk, the durtion of the tet triggered by the diverter motion, nd the primry meter output i collected nd ued to clculte volumetric flo rte. Flo rte meurement re trced to NIT through n unbroken chin of comprion. Comprion re creted nnully by clibrting ll meurement device t n ccredited lbortory. Trcebility i mintined through PC. eurement uncertinty evluted by n uncertinty nlyi. The entire ytem vlidted by proficiency tet. TATITICAL PROCE CONTROL ttiticl control of the clibrtion ytem i eed uing PC. The ytem i clibrted regulrly gint check tndrd. Check tndrd clibrtion include to flo rte. eurement re grouped nd plotted uing control chrt. Control limit re clculted from hehrt control limit fctor [3; Tble A.5]. A proficiency tet i performed nnully uing n ccredited lbortory, nd etblihe meurement trcebility t tht point in time. For ll other point in time, PC mintin confidence in the meurement procee. UNCERTAINTY ANALYI L of Propgtion of Uncertinty [] ued to determine uncertinty in flo rte, volume, nd K- fctor meurement. The reult econd order ccurte (Eq. ). R... n n ()
2 Where prtil differentil opertor, η component of meurement proce, uncertinty of η, meurnd, nd n meurement uncertinty. Conervtion of m ued to derive function for flo rte (the method i imilr to tht given by T. T, Yeh et. l [4]). The clibrtion ytem modeled completely cloed ytem (no lek) nd broken into three component: ) torge m, ) primry m nd 3) econdry m. torge m m contined beteen the econdry nd primry meter, econdry m totl m een by the flo reference nd primry m totl m een by the primry meter (meter under tet). Auming tht m conerved, the difference in m ping through the primry meter from tet trt to tet end obtined by equting the totl m t ech time. () Pri ec here the difference opertor. ubcript, ec, nd Pri refer to torge volume, econdry flo reference, nd Primry flo meter repectively. The chnge in torge, ec, depended on it phyicl volume ( V ) nd the denity of ter ( ) t the tet trt nd tet top time. ubcript nd refer to trt nd top time repectively. V V V nd, nd econd order term ere dropped. ec ec V ( V ec ( V ec V V V )( ) V V V V V V (3) Volume nd denity ere umed to chnge ith temperture ccording to Eqn. (4-5). V 3 T V (4) T (5) Where nd re the coefficient of therml expnion for teel (liner) nd ter (volumetric), nd T i the chnge in temperture from tet trt to top. ec V T 3 T V V T (3 ) (6) ec i the m collected in the eigh tnk nd clculted by meuring the difference in m contined in the eigh tnk from tet trt to tet end. A buoyncy correction mde to ccount for buoynt force exerted on the ter in the collection tnk by the urrounding tmophere. / ec (7) Where the chnge in m i meured by the eigh cle, the denity of ir, nd the denity of ter in the eigh tnk. The denity of ter umed to be function of temperture nd the dt hon in Tble () ued to determine ter denity from temperture. The denity of ir umed to depend on temperture nd the folloing eqution ued to determine ir denity from temperture. 0.35kP (8) J ( T 73.5) KgK Where T temperture in degree Celiu. Eqn (6) nd (7) ere then inerted into Eqn () to generte the chnge in Primry m. Pri V T (3 ) (9) The m flo rte een by the meter under tet Pri V T (3 ) (0) t t t Where t the djuted tet time. The tet time meured by the ue of photo-eye ttched to the diverter. A the diverter ped through the trem of fluid exiting the fih tle, the photo-eye i trigged hich imultneouly enbled the pule counter for the UT nd high preciion frequency genertor ued to
3 3 meure time. Adjutment of thi photo-eye loction criticl for ccurte flo meurement. To ccount for diverter triggering ymmetrie, the tet time djuted function of flo rte uing 5 th order polynomil fit of the dt cquired folloing the procedure outlined in ethod of Annex: A of IO 485 [8]. t t t IO Q ) () ( et t the djuted tet time, t the meured tet time, t IO ( Q et ) the tet time djutment ccording to the IO 485 procedure function of Q, the et point flo rte. ee Fig (-). et Volumetric flo rte, Q, expreed Eqn (0) divided by the fluid denity,. VT (3 ) Q t t () By meuring the uncertintie of ech vrible in Eqn (), nd uing the l of propgtion of uncertinty, Eqn (), the uncertinty in flo rte ere clculted. Reference [] B. Belnger, eurement Aurnce Progrm Prt I: Generl Introduction, NB pecil Publiction 676-I, U.. Government Printing Office, Whington, y 984. []. J. Kline nd F. A. cclintock, Decribing Uncertintie in ingle-mple Experiment, echnicl Engineering, Jnury, 953. [3] D. J. Wheeler nd D.. Chmber, Undertnding ttiticl Proce Control, PC Pre, Knoxville TN, y 984. [4] T. T. Yeh et. l., An Uncertinty Anlyi of NIT Hydrocrbon Flo Clibrtion Fcility, Proceeding of the 004 Het Trnfer/Fluid Engineering ummer conference, AE 004. [5] ANI/AT, eurement Uncertinty for Fluid Flo in Cloed conduit Americn ociety of echnicl Engineer, 00. [6] F. P. Incroper nd D. P. Deitt, Introduction to Het Trnfer John Wiley & on, Inc., 996. [7] Normn E. Doling, echnicl Behvior of teril. Prentice Hll, 999. [8] Ioif I. hinder, NIT Clibrtion ervice for Wter Flo eter. NIT pecil Publiction 50, Augut 006
4 Lit of Tble 4 TABLE THI TABLE LIT THE UNCERTAINTY BUDGET FOR FLOW RATE EAUREENT. Vlue tndrd Uncertinty (%) tndrd Uncertinty (%). Uncertinty Lrge Tnk (000 Gllon) mll Tnk (300 Gllon) mll cle Indiction 0.5 lb N/A 0.0 Lrge cle Indiction lb 0.05 N/A cle Drift cle Clibrtion Cl F torge Totl Uncertinty Collection Time Uncertinty 00 () Timer Clibrtion 0 khz Diverter Actution mll 0.03 () N/A 0.03 Diverter Actution Lrge 0.05 () 0.05 N/A Totl Time Uncertinty Wter Denity Uncertinty Temperture Uncertinty 0.5 (C) N/A N/A Totl Wter Denity Uncertinty Combined Uncertinty for Q Expnded Uncertinty for Q (k=) Combined tndrd Uncertinty: Vlue ere clculted uing the l of propgtion of uncertinty (Fig 3). Uncertinty vlue ere clculted under the umption of 00 () tet here the tnk filled completely. Overll uncertinty depend on tet time nd mount of fluid collected in tnk. In generl, lo flo rte nd longer tet time yield mller ytem uncertinty. TABLE THI TABLE LIT THE WATER DENITY A A FUNCTION OF TEPERATURE. Temperture C Denity Kg/m^ To determine the uncertinty in denity, polynomil fit of (Tble ) mde nd the uncertinty determined by the ue of the l of propgtion of uncertinty.
5 Lit of Figure 5 Figure : Lrge Diverter bi meurement reult ccording to ethod Annex: A of IO 485. Figure : mll Diverter bi meurement reult ccording to ethod Annex: A of IO 485.
6 6 Figure 3: Thi figure illutrte combined expnded uncertinty of flo rte meurement veru flo rte. Coverge fctor to. Figure 4: Proficiency Tet reult. Proficiency tet done by tking the men of three reding from 6 electromgnetic flo meter nd uing the tndrd devition of the reding to reduce the rndom uncertinty contributed by the flo meter itelf. Coverge fctor. Error br for emetric mtch thoe hon in Tble, nd uncertinty for UWRL pecified t 0.% of Rte. ximum difference of the men 0.7% t 5 GP, verge difference of the men over the full flo rnge -0.08%.
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