2507 stainless hlau coil tube tshuaj tivthaiv, Sib npaug Thermal Network Simulation Kev Kawm Ntawm Lub Ntiaj Teb Tsis tshua muaj Magnetostrictive Transducer

Ua tsaug rau koj tuaj xyuas Nature.com.Koj siv lub browser version nrog kev txhawb nqa CSS tsawg.Rau qhov kev paub zoo tshaj plaws, peb xav kom koj siv qhov browser tshiab (lossis lov tes taw Compatibility Hom hauv Internet Explorer).Tsis tas li ntawd, txhawm rau xyuas kom muaj kev txhawb nqa tsis tu ncua, peb qhia lub vev xaib tsis muaj qauv thiab JavaScript.
Sliders qhia peb kab lus rau ib tus swb.Siv cov nyees khawm rov qab thiab tom ntej kom txav mus los ntawm cov slides, lossis cov khawm tswj swb thaum kawg kom txav mus los ntawm txhua tus swb.

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• 2507 Stainless hlau coiled tubing los ntawm Tuam Tshoj

Qhov tseem ceeb rau tus tsim ntawm lub loj magnetostrictive transducer (GMT) yog ceev thiab raug tsom xam ntawm qhov kub thiab txias.Thermal network modeling muaj qhov zoo ntawm cov nqi qis thiab qhov raug siab thiab tuaj yeem siv rau GMT thermal tsom xam.Txawm li cas los xij, cov qauv thermal uas twb muaj lawm muaj kev txwv hauv kev piav qhia txog cov txheej txheem thermal hauv GMT: feem ntau cov kev tshawb fawb tsom mus rau cov xeev nyob ruaj khov uas tsis tuaj yeem ntes qhov kub hloov pauv;Nws yog feem ntau xav tias qhov kub thiab txias ntawm cov magnetostrictive (GMM) rods yog sib xws, tab sis qhov kub thiab txias gradient thoob plaws GMM pas nrig yog qhov tseem ceeb heev vim tsis zoo thermal conductivity, qhov tsis sib xws poob faib ntawm GMM yog tsis tshua muaj nkag rau hauv thermal. qauv.Yog li ntawd, los ntawm kev xav txog peb yam saum toj no, cov ntaub ntawv no tau tsim GMT Transitional Equivalent Heat Network (TETN) qauv.Ua ntej, raws li tus qauv tsim thiab lub hauv paus ntsiab lus ntawm kev ua haujlwm ntawm longitudinal vibratory HMT, ib qho kev ntsuas thermal yog nqa tawm.Rau lub hauv paus no, cov qauv cua sov yog tsim los rau HMT cov txheej txheem hloov hluav taws xob thiab cov qauv coj los ntsuas.Thaum kawg, qhov tseeb ntawm TETN qauv rau transducer kub spatiotemporal tsom xam los ntawm kev simulation thiab kev sim.
Cov khoom siv magnetostrictive loj heev (GMM), uas yog terfenol-D, muaj qhov zoo ntawm qhov loj magnetostriction thiab siab zog ceev.Cov khoom tshwj xeeb no tuaj yeem siv los tsim cov magnetostrictive transducers loj heev (GMTs) uas tuaj yeem siv ntau yam kev siv xws li underwater acoustic transducers, micromotors, linear actuators, thiab lwm yam. 1,2.
Ntawm qhov kev txhawj xeeb tshwj xeeb yog lub peev xwm rau overheating ntawm subsea GMTs, uas, thaum ua hauj lwm ntawm tag nrho cov hwj chim thiab rau lub sij hawm ntev ntawm excitation, muaj peev xwm tsim kom muaj nuj nqis ntawm tshav kub vim lawv siab zog ceev 3,4.Tsis tas li ntawd, vim qhov loj coefficient ntawm thermal expansion ntawm GMT thiab nws cov rhiab heev rau sab nraud kub, nws cov zis kev ua tau zoo muaj feem xyuam rau kub 5,6,7,8.Hauv kev tshaj tawm kev tshaj tawm, GMT thermal tsom xam txoj hauv kev tuaj yeem muab faib ua ob pawg dav 9: cov lej lej thiab cov txheej txheem lumped parameter.Txoj kev finite element method (FEM) yog ib txoj hauv kev uas feem ntau siv cov lej ntsuas.Xie et al.[10] siv cov txheej txheem finite keeb los simulate qhov kev faib tawm ntawm cov khoom siv hluav taws xob ntawm lub zog loj magnetostrictive tsav thiab pom tau tias tus tsim ntawm kev tswj qhov kub thiab txias ntawm lub tsav.Zhao et al.[11] tau tsim ib qho kev sib koom ua ke finite caij simulation ntawm qhov chaw turbulent flow field thiab qhov kub thiab txias, thiab ua kom muaj GMM ntse tivthaiv ntsuas kub tswj cov cuab yeej raws li cov txiaj ntsig ntawm lub caij nyoog simulation.Txawm li cas los xij, FEM yog qhov xav tau heev ntawm cov qauv teeb tsa thiab lub sijhawm suav.Vim li no, FEM suav hais tias yog ib qho tseem ceeb txhawb rau kev suav offline, feem ntau yog thaum lub sij hawm tsim qauv converter.
Cov txheej txheem lumped parameter, feem ntau hu ua cov qauv hluav taws xob sib txuas, yog siv dav hauv kev ntsuas ntsuas kub vim nws daim ntawv lej yooj yim thiab kev suav nrawm nrawm 12,13,14.Txoj hauv kev no ua lub luag haujlwm tseem ceeb hauv kev tshem tawm cov kev txwv thermal ntawm cov cav 15, 16, 17. Mellor18 yog thawj zaug siv qhov kev txhim kho thermal sib npaug Circuit Court T los ua qauv rau lub cav cua sov hloov txheej txheem.Verez et al.19 tsim ib tug qauv peb-seem ntawm lub thermal network ntawm ib tug ruaj khov hlau nplaum synchronous tshuab nrog axial txaus.Boglietti et al.20 tau npaj plaub lub thermal network qauv ntawm kev sib txawv nyuaj los kwv yees luv luv thermal transients hauv stator windings.Thaum kawg, Wang et al.21 tau tsim kom muaj cov ncauj lus kom ntxaws thermal sib npaug rau txhua qhov PMSM tivthaiv thiab sau cov ntsiab lus ntawm thermal resistance equation.Raws li cov xwm txheej nominal, qhov yuam kev tuaj yeem tswj tau li ntawm 5%.
Nyob rau xyoo 1990, cov qauv hluav taws xob hluav taws xob tau pib siv rau cov khoom siv hluav taws xob qis qis.Dubus et al.22 tau tsim cov qauv hluav taws xob sib txuas los piav qhia txog kev hloov hluav taws xob nyob twj ywm hauv ob sab longitudinal vibrator thiab chav kawm IV khoov sensor.Anjanappa thiab al.23 tau ua 2D nyob ruaj ruaj thermal tsom xam ntawm magnetostrictive microdrive siv tus qauv thermal network.Txhawm rau kawm txog kev sib raug zoo ntawm thermal strain ntawm Terfenol-D thiab GMT tsis, Zhu et al.24 tau tsim ib lub xeev ruaj khov tus qauv sib npaug rau kev ua haujlwm thermal thiab GMT hloov pauv.
GMT ntsuas kub yog qhov nyuaj dua li kev siv cav.Vim qhov zoo tshaj plaws thermal thiab sib nqus conductivity ntawm cov ntaub ntawv siv, feem ntau lub cav Cheebtsam suav hais tias nyob rau tib qhov kub thiab txias feem ntau yog txo mus rau ib leeg ntawm 13,19.Txawm li cas los xij, vim qhov tsis zoo thermal conductivity ntawm HMMs, qhov kev xav ntawm kev faib khoom kub tsis raug lawm.Tsis tas li ntawd, HMM muaj qhov sib nqus permeability tsawg heev, yog li cov cua sov tsim los ntawm cov hlau nplaum feem ntau tsis sib xws raws HMM pas nrig.Tsis tas li ntawd, feem ntau ntawm kev tshawb fawb yog tsom rau kev simulations tsis tu ncua uas tsis suav txog qhov kub thiab txias thaum lub sijhawm ua haujlwm GMT.
Yuav kom daws tau qhov teeb meem saum toj no peb txoj hauv kev, tsab xov xwm no siv GMT longitudinal vibration raws li cov khoom ntawm kev kawm thiab raug ua qauv ntau yam ntawm cov transducer, tshwj xeeb tshaj yog GMM pas nrig.Ib qho qauv ntawm kev ua tiav qhov sib npaug sib npaug ntawm cov cua sov (TETN) GMT tau raug tsim.Ib qho qauv tsim tshwj xeeb thiab kev sim platform tau tsim los ntsuas qhov tseeb thiab kev ua tau zoo ntawm TETN qauv rau kev ntsuas ntsuas kub spatiotemporal.
Qhov tsim thiab geometric qhov ntev ntawm lub longitudinally oscillating HMF yog qhia nyob rau hauv daim duab 1a thiab b, feem.
Cov khoom tseem ceeb muaj xws li GMM rods, teb coils, cov hlau nplaum ruaj khov (PM), yokes, pads, bushings, thiab belleville springs.Lub excitation coil thiab PMT muab HMM pas nrig nrog ib qho chaw sib nqus sib nqus thiab DC bias magnetic teb, feem.Lub yoke thiab lub cev, muaj lub hau thiab lub tes tsho, yog ua los ntawm DT4 mos hlau, uas muaj qhov sib nqus permeability siab.Tsim ib lub kaw sib nqus sib nqus nrog GIM thiab PM pas nrig.Cov zis qia thiab siab phaj yog ua los ntawm cov hlau tsis sib nqus 304 stainless hlau.Nrog belleville springs, ruaj khov prestress tuaj yeem siv rau lub qia.Thaum ib qho kev hloov tam sim no dhau los ntawm lub kauj tsav, HMM pas nrig yuav vibrate raws li.
Ntawm daim duab.2 qhia txog cov txheej txheem ntawm kev sib pauv cua sov hauv GMT.GMM rods thiab teb coils yog ob lub ntsiab ntawm cov cua sov rau GMTs.Lub serpentine hloov nws cov cua sov mus rau lub cev los ntawm huab cua convection sab hauv thiab mus rau lub hau los ntawm conduction.HMM pas nrig yuav tsim cov hlau nplaum poob nyob rau hauv qhov kev txiav txim ntawm ib qho chaw sib nqus sib nqus, thiab cov cua sov yuav raug xa mus rau lub plhaub vim yog convection los ntawm cov huab cua sab hauv, thiab mus rau cov hlau nplaum ruaj khov thiab quab yuam vim kev ua haujlwm.Thaum tshav kub kub hloov mus rau cov ntaub ntawv yog dissipated mus rau sab nraud los ntawm convection thiab hluav taws xob.Thaum cov hluav taws xob tsim hluav taws xob sib npaug rau cov cua sov hloov mus, qhov kub ntawm txhua qhov ntawm GMT mus txog lub xeev khov kho.
Cov txheej txheem ntawm kev hloov hluav taws xob nyob rau hauv longitudinally oscillating GMO: a - tshav kub txaus daim duab, b - lub ntsiab tshav kub hloov txoj kev.
Ntxiv nrog rau cov cua kub uas tsim los ntawm exciter coil thiab HMM pas nrig, tag nrho cov khoom ntawm lub kaw sib nqus hluav taws xob muaj kev sib nqus poob.Yog li, cov hlau nplaum ruaj khov, tus quab, lub hau thiab lub tes tsho yog laminated ua ke kom txo tau qhov sib nqus ntawm GMT.
Cov kauj ruam tseem ceeb hauv kev tsim cov qauv TETN rau GMT thermal tsom xam yog raws li hauv qab no: thawj pab pawg cov khoom uas muaj qhov kub thiab txias sib xyaw ua ke thiab sawv cev rau txhua qhov sib txawv raws li qhov sib cais ntawm lub network, tom qab ntawd koom nrog cov nodes nrog rau qhov tsim nyog hloov hluav taws xob qhia.thermal conduction thiab convection ntawm nodes.Nyob rau hauv cov ntaub ntawv no, lub tshav kub qhov hluav taws xob thiab cov hluav taws xob tso tawm hluav taws xob sib txuas rau txhua qhov kev sib txuas yog txuas mus rau qhov sib npaug ntawm cov node thiab cov zero voltage ntawm lub ntiaj teb los tsim ib qho qauv sib npaug ntawm cov cua sov network.Cov kauj ruam tom ntej yog xam cov tsis muaj thermal network rau txhua feem ntawm cov qauv, suav nrog thermal tsis kam, muaj peev xwm kub thiab hluav taws xob poob.Thaum kawg, tus qauv TETN yog siv hauv SPICE rau kev simulation.Thiab koj tuaj yeem tau txais qhov ntsuas kub ntawm txhua feem ntawm GMT thiab nws qhov kev hloov pauv hauv lub sijhawm.
Txhawm rau kom yooj yim ntawm kev ua qauv thiab kev suav, nws yog ib qho tsim nyog los ua kom yooj yim rau cov qauv thermal thiab tsis quav ntsej txog cov ciam teb uas muaj kev cuam tshuam me me rau cov txiaj ntsig 18,26.Tus qauv TETN tau hais hauv tsab xov xwm no yog ua raws li cov kev xav hauv qab no:
Nyob rau hauv GMT nrog randomly mob windings, nws yog tsis yooj yim sua los yog tsim nyog los simulate txoj hauj lwm ntawm txhua tus neeg xyuas pib.Ntau lub tswv yim tsim qauv tau tsim yav dhau los los ua qauv hloov hluav taws xob thiab qhov kub thiab txias hauv cov cua sov: (1) thermal conductivity, (2) ncaj sib npaug raws li tus neeg xyuas pib geometry, (3) T-sib npaug thermal circuit29.
Composite thermal conductivity thiab kev sib npaug ncaj qha tuaj yeem suav tias yog cov kev daws teeb meem ntau dua li qhov sib npaug ntawm Circuit Court T, tab sis lawv nyob ntawm ntau yam, xws li cov khoom siv, tus neeg xyuas pib geometry thiab qhov ntim ntawm cov cua seem hauv lub winding, uas nyuaj rau kev txiav txim siab29.Ntawm qhov tsis sib xws, T-sib npaug thermal scheme, txawm tias tus qauv kwv yees, yog qhov yooj yim dua 30.Nws tuaj yeem siv rau lub coil excitation nrog longitudinal vibrations ntawm GMT.
Qhov dav dav hollow cylindrical sib dhos siv los sawv cev rau exciter coil thiab nws T-sib npaug thermal daim duab, tau los ntawm kev daws ntawm qhov sib npaug ntawm cov cua sov, tau qhia hauv daim duab.3. Nws yog assumed tias lub tshav kub flux nyob rau hauv lub excitation coil yog ywj siab nyob rau hauv lub radial thiab axial cov lus qhia.Lub tshav kub flux tsis pom zoo.Nyob rau hauv txhua qhov sib npaug Circuit Court T, ob lub terminals sawv cev rau qhov sib thooj ntawm qhov kub thiab txias ntawm lub caij, thiab lub davhlau ya nyob twg thib peb T6 sawv cev rau qhov nruab nrab kub ntawm lub caij.Qhov poob ntawm P6 tivthaiv yog nkag mus rau hauv qhov chaw ntawm qhov nruab nrab kub ntawm qhov ntsuas hauv "Field coil heat poob xam".Nyob rau hauv cov ntaub ntawv ntawm tsis-stationary simulation, lub tshav kub muaj peev xwm C6 yog muab los ntawm qhov sib npaug.(1) kuj ntxiv rau qhov nruab nrab qhov kub thiab txias.
Qhov twg cec, ρec thiab Vec sawv cev rau qhov tshwj xeeb cua sov, ceev thiab ntim ntawm excitation coil, feem.
Hauv rooj.1 qhia cov thermal tsis kam ntawm T-sib npaug thermal Circuit Court ntawm excitation coil nrog ntev lec, thermal conductivity λec, txheej vojvoog rec1 thiab puab vojvoog rec2.
Exciter coils thiab lawv T-sib npaug thermal circuits: (a) feem ntau hollow cylindrical ntsiab, (b) cais axial thiab radial T-sib npaug thermal circuits.
Qhov sib npaug Circuit Court T kuj tau pom tias muaj tseeb rau lwm qhov chaw kub cylindrical13.Ua lub hauv paus cua sov ntawm GMO, HMM pas nrig muaj qhov tsis sib xws ntawm qhov kub thiab txias vim nws cov thermal conductivity tsawg, tshwj xeeb tshaj yog nyob rau ntawm tus pas nrig.Ntawm qhov tsis sib xws, radial inhomogeneity tuaj yeem raug tsis saib xyuas, txij li lub radial tshav kub flux ntawm HMM pas nrig yog tsawg dua li radial tshav kub flux31.
Txhawm rau kom meej meej sawv cev rau theem ntawm axial discretization ntawm tus pas nrig thiab tau txais qhov kub siab tshaj plaws, GMM pas nrig yog sawv cev los ntawm n nodes uniformly spaced nyob rau hauv axial kev taw qhia, thiab tus naj npawb ntawm cov nodes n qauv los ntawm GMM pas nrig yuav tsum khib.Tus naj npawb ntawm qhov sib npaug axial thermal contours yog n T daim duab 4.
Txhawm rau txiav txim siab tus lej n siv los ua qauv GMM bar, FEM cov txiaj ntsig tau pom hauv daim duab.5 raws li kev siv.Raws li qhia hauv daim duab.4, tus naj npawb ntawm cov nodes n yog tswj nyob rau hauv lub thermal tswvyim ntawm HMM pas nrig.Txhua lub node tuaj yeem ua qauv raws li T-sib npaug Circuit Court.Sib piv cov txiaj ntsig ntawm FEM, los ntawm daim duab 5 qhia tau hais tias ib lossis peb lub nodes tsis tuaj yeem cuam tshuam qhov ntsuas kub ntawm HIM pas nrig (txog 50 hli ntev) hauv GMO.Thaum n tau nce mus rau 5, qhov kev simulation tshwm sim tau zoo dua thiab ua rau FEM.Kev nce n ntxiv kuj tseem muab cov txiaj ntsig zoo dua ntawm tus nqi ntawm lub sijhawm suav ntev dua.Yog li ntawd, hauv tsab xov xwm no, 5 nodes raug xaiv los ua qauv GMM bar.
Raws li kev soj ntsuam sib piv tau ua tiav, qhov tseeb thermal lub tswv yim ntawm HMM pas nrig yog qhia hauv daim duab 6. T1 ~ T5 yog qhov nruab nrab kub ntawm tsib ntu (ntu 1 ~ 5) ntawm tus pas.P1-P5 feem sawv cev rau tag nrho cov thermal hwj chim ntawm ntau qhov chaw ntawm tus pas nrig, uas yuav tau tham nyob rau hauv kom meej nyob rau hauv tshooj tom ntej.C1 ~ C5 yog lub peev xwm kub ntawm cov cheeb tsam sib txawv, uas tuaj yeem xam los ntawm cov qauv hauv qab no
qhov twg crod, ρrod thiab Vrod qhia txog qhov tshwj xeeb kub muaj peev xwm, ceev thiab ntim ntawm HMM pas nrig.
Siv tib txoj kev raws li rau lub exciter coil, lub tshav kub hloov tsis kam ntawm HMM pas nrig hauv daim duab 6 tuaj yeem xam raws li
qhov twg lrod, rrod thiab λrod sawv cev rau qhov ntev, lub vojvoog thiab thermal conductivity ntawm GMM pas nrig, feem.
Rau qhov ntev ntawm kev vibration GMT kawm nyob rau hauv tsab xov xwm no, cov khoom seem thiab cov huab cua sab hauv tuaj yeem ua qauv nrog ib qho kev teeb tsa.
Cov cheeb tsam no tuaj yeem suav tias yog muaj ib lossis ntau lub tog raj kheej.Ib qho kev sib txuas ua hluav taws xob ua hluav taws xob sib txuas hauv ib qho cylindrical yog txhais los ntawm Fourier cua sov txoj cai raws li
Qhov twg λnhs yog cov thermal conductivity ntawm cov khoom, lnhs yog qhov ntev axial, rnhs1 thiab rnhs2 yog sab nraud thiab sab hauv radii ntawm cov khoom siv hluav taws xob, feem.
Equation (5) yog siv los xam cov radial thermal kuj rau cov cheeb tsam no, sawv cev los ntawm RR4-RR12 nyob rau hauv daim duab 7. Nyob rau tib lub sij hawm, Equation (6) yog siv los xam cov axial thermal kuj, sawv cev los ntawm RA15 rau RA33 nyob rau hauv daim duab. 7.
Lub peev xwm kub ntawm ib qho ntawm cov thermal Circuit Court rau thaj tsam saum toj no (xws li C7-C15 hauv daim duab 7) tuaj yeem txiav txim siab raws li
qhov twg ρnhs, cnhs, thiab Vnhs yog qhov ntev, tshwj xeeb cua sov, thiab ntim, feem.
Cov cua kub hloov pauv ntawm huab cua hauv GMT thiab qhov chaw ntawm rooj plaub thiab ib puag ncig yog qauv nrog ib qho thermal conduction resistor raws li hauv qab no:
qhov twg A yog qhov chaw sib cuag thiab h yog qhov hloov pauv cua sov coefficient.Table 232 teev qee yam h siv hauv cov tshuab cua sov.Raws li Table.2 tshav kub hloov coefficients ntawm thermal resistances RH8-RH10 thiab RH14-RH18, sawv cev rau convection ntawm HMF thiab ib puag ncig hauv daim duab.7 raug coj los ua tus nqi tas li ntawm 25 W / (m2 K).Cov hluav taws xob hloov hluav taws xob ntxiv tau muab sib npaug rau 10 W / (m2 K).
Raws li cov txheej txheem hloov hluav taws xob sab hauv uas pom hauv daim duab 2, cov qauv ua tiav ntawm TETN converter yog pom hauv daim duab 7.
Raws li qhia hauv daim duab.7, GMT longitudinal vibration yog muab faib ua 16 pob, uas yog sawv cev los ntawm cov dots liab.Cov kub nodes depicted nyob rau hauv cov qauv sib haum mus rau qhov nruab nrab kub ntawm cov feem.Ambient kub T0, GMM pas nrig kub T1 ~ T5, exciter coil kub T6, ruaj khov hlau nplaum kub T7 thiab T8, yoke kub T9 ~ T10, rooj kub T11 ~ T12 thiab T14, sab hauv tsev cua kub T13 thiab tso zis pas nrig kub T15.Tsis tas li ntawd, txhua qhov txuas txuas nrog lub peev xwm thermal ntawm hauv av los ntawm C1 ~ C15, uas sawv cev rau lub peev xwm thermal ntawm txhua cheeb tsam, feem.P1 ~ P6 yog tag nrho cov cua kub tso tawm ntawm GMM pas nrig thiab exciter coil feem.Tsis tas li ntawd, 54 thermal resistances yog siv los sawv cev rau cov conductive thiab convective tsis kam mus rau tshav kub hloov ntawm cov nyob ib sab, uas tau xam nyob rau hauv yav dhau los seem.Table 3 qhia txog ntau yam thermal yam ntxwv ntawm cov ntaub ntawv converter.
Kev kwv yees tseeb ntawm qhov poob ntim thiab lawv qhov kev faib tawm yog qhov tseem ceeb rau kev ua tau zoo thermal simulations.Lub tshav kub poob uas tsim los ntawm GMT tuaj yeem muab faib ua qhov sib nqus ntawm GMM pas nrig, Joule poob ntawm exciter coil, kev poob txhua yam, thiab qhov poob ntxiv.Qhov kev poob ntxiv thiab kev poob txhua yam raug coj mus rau hauv tus account yog qhov me me thiab tuaj yeem tsis quav ntsej.
Lub ac excitation coil kuj muaj xws li: dc kuj Rdc thiab tawv kuj Rs.
qhov twg f thiab N yog qhov zaus thiab tus naj npawb ntawm cov kev hloov pauv ntawm qhov excitation tam sim no.lCu thiab rCu yog sab hauv thiab sab nraud ntawm lub kauj, qhov ntev ntawm lub kauj, thiab lub vojvoog ntawm cov hlau nplaum tooj liab raws li tau hais los ntawm nws tus lej AWG (American Wire Gauge).ρCu yog qhov resistivity ntawm nws cov tub ntxhais.µCu yog qhov sib nqus permeability ntawm nws cov tub ntxhais.
Qhov tseeb magnetic teb nyob rau hauv lub teb coil (solenoid) tsis sib xws raws li qhov ntev ntawm tus pas nrig.Qhov sib txawv no tshwj xeeb tshaj yog pom vim qhov qis sib nqus permeability ntawm HMM thiab PM rods.Tab sis nws yog longitudinally symmetrical.Kev faib tawm ntawm cov hlau nplaum ncaj qha txiav txim siab qhov kev faib tawm ntawm kev sib nqus ntawm HMM pas nrig.Yog li ntawd, kom muaj kev cuam tshuam qhov kev faib tawm tiag tiag, ib tug pas nrig peb ntu, qhia hauv daim duab 8, raug coj los ntsuas.
Qhov sib nqus poob tuaj yeem tau txais los ntawm kev ntsuas lub voj voog hysteresis.Raws li qhov kev sim platform pom nyob rau hauv daim duab 11, peb dynamic hysteresis loops raug ntsuas.Raws li qhov xwm txheej uas qhov ntsuas kub ntawm GMM pas nrig yog qhov ruaj khov qis dua 50 ° C, qhov programmable AC fais fab mov (Chroma 61512) tsav lub teb coil nyob rau hauv ib qho chaw, raws li qhia hauv daim duab 8, qhov zaus ntawm cov magnetic teb generated los ntawm lub teb chaws coil. kuaj tam sim no thiab qhov tshwm sim sib nqus flux ceev yog xam los ntawm kev sib txuas ntawm qhov hluav taws xob induced hauv induction coil txuas nrog GIM pas nrig.Cov ntaub ntawv nyoos tau rub tawm los ntawm lub cim xeeb logger (MR8875-30 ib hnub) thiab ua tiav hauv MATLAB software kom tau txais cov ntsuas dynamic hysteresis loops qhia hauv daim duab 9.
Ntsuas dynamic hysteresis loops: (a) ntu ​​1/5: Bm = 0.044735 T, (b) ntu ​​1/5: fm = 1000 Hz, (c) ntu ​​2/4: Bm = 0.05955 T, (d) ntu ​​2/ 4: fm = 1000 Hz, (e) ntu ​​3: Bm = 0.07228 T, (f) ntu ​​3: fm = 1000 Hz.
Raws li cov ntaub ntawv 37, tag nrho cov hlau nplaum poob Pv ib chav tsev ntim ntawm HMM rods tuaj yeem suav nrog cov qauv hauv qab no:
qhov twg ABH yog qhov ntsuas thaj tsam ntawm BH nkhaus ntawm qhov sib nqus teb zaus fm sib npaug rau qhov excitation tam sim no zaus f.
Raws li Bertotti poob kev sib cais method38, qhov sib nqus poob ib chav tsev loj Pm ntawm GMM pas nrig tuaj yeem qhia tau raws li qhov sib npaug ntawm hysteresis poob Ph, eddy tam sim no poob Pe thiab anomalous poob Pa (13):
Los ntawm engineering foundation38, anomalous losses thiab eddy tam sim no poob tuaj yeem ua ke rau hauv ib lub sij hawm hu ua tag nrho eddy tam sim no poob.Yog li, cov qauv rau kev suav cov poob tuaj yeem yooj yim raws li hauv qab no:
hauv kev sib npaug.(13) ~ (14) qhov twg Bm yog qhov amplitude ntawm qhov sib nqus qhov sib nqus ntawm qhov zoo siab magnetic teb.kh thiab kc yog hysteresis poob yam thiab tag nrho eddy tam sim no poob yam.