I-2507 yentsimbi engenasici setyhubhu yekhemikhali yecandelo lemichiza, iNethiwekhi yeThermal eLingeneyo yoPhononongo lweSigubungelo esiNgqwesileyo soMhlaba esiGuqulela iMagnetostrictive.

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• Ingcaciso yeMveliso
• 2507 Ityhubhu yentsimbi engatyiwayo ejiyileyo evela eTshayina

Okubalulekileyo kuyilo lwe-giant magnetostrictive transducer (GMT) luhlalutyo olukhawulezayo noluchanekileyo lokusasazwa kobushushu.Imodeli yenethiwekhi ye-Thermal ineenzuzo zeendleko eziphantsi zokubala kunye nokuchaneka okuphezulu kwaye ingasetyenziselwa uhlalutyo lwe-GMT lwe-thermal.Nangona kunjalo, imodeli ekhoyo ye-thermal inemida ekuchazeni le mithetho ye-thermal enzima kwi-GMT: uninzi lwezifundo lugxininise kwiindawo ezimileyo ezingenako ukubamba utshintsho lweqondo lokushisa;Ngokuqhelekileyo kucingelwa ukuba ukuhanjiswa kweqondo lokushisa kweentonga ezinkulu ze-magnetostrictive (GMM) zifana, kodwa i-gradient yeqondo lokushisa kuyo yonke intonga ye-GMM ibaluleke kakhulu ngenxa yokungahambi kakuhle kwe-thermal, ukuhanjiswa kwelahleko okungafaniyo kwe-GMM kunqabile ukuba kufakwe kwi-thermal. imodeli.Ngoko ke, ngokuqwalasela ngokubanzi le miba mithathu ingasentla, olu xwebhu luseka imodeli ye-GMT Transitional Equivalent Heat Network (TETN).Okokuqala, ngokusekelwe kuyilo kunye nomgaqo wokusebenza kwe-HMT ye-longitudinal vibratory, uhlalutyo lwe-thermal luyenziwa.Ngesi siseko, imodeli yezinto zokufudumeza isekwe kwinkqubo yokuhambisa ubushushu be-HMT kunye neeparamitha zemodeli ezihambelanayo zibalwe.Ekugqibeleni, ukuchaneka kwemodeli ye-TETN ye-transducer uhlalutyo lwe-spatiotemporal lokushisa luqinisekiswa ngokulinganisa kunye nokulinga.
I-giant magnetostrictive material (GMM), eyi-terfenol-D, ineenzuzo zemagnetostriction enkulu kunye noxinano lwamandla aphezulu.Ezi mpawu zikhethekileyo zingasetyenziselwa ukuphuhlisa i-giant magnetostrictive transducers (GMTs) enokuthi isetyenziswe kuluhlu olubanzi lwezicelo ezifana ne-acoustic transducers engaphantsi kwamanzi, i-micromotors, i-linear actuators, njl.
Eyona nto ixhalabisayo kukugqithiswa kwe-GMTs ye-subsea, leyo, xa iqhutywe ngamandla apheleleyo kunye nexesha elide lokuvuselela, inokuvelisa ixabiso elibalulekileyo lobushushu ngenxa yobuninzi babo bamandla3,4.Ukongezelela, ngenxa ye-coefficient enkulu yokwandiswa kwe-thermal ye-GMT kunye nokuvakalelwa kwayo okuphezulu kwiqondo lokushisa langaphandle, ukusebenza kwayo okuphumayo kuhambelana ngokusondeleyo nokushisa5,6,7,8.Kwiimpapasho zobugcisa, iindlela zokuhlalutya i-Thermal ye-GMT zinokwahlulwa zibe ziindidi ezimbini ezibanzi9: iindlela zamanani kunye ne-lumped parameter method.Indlela ye-finite element (FEM) yenye yezona ndlela ziqhelekileyo zokuhlalutya amanani.Xie et al.[10] wasebenzisa indlela yesiqalelo esinesiphelo ukulinganisa ukusasazwa kwemithombo yobushushu ye-giant magnetostrictive drive kwaye waqonda uyilo lolawulo lobushushu kunye nenkqubo yokupholisa ye-drive.UZhao et al.[11] waseka i-joint finite element simulation of a turbulent flow field and the temperatures field, and built a GMM intelligent component device control temperatures based on the results of filing element finite.Nangona kunjalo, i-FEM ifuna kakhulu malunga nokuseta imodeli kunye nexesha lokubala.Ngesi sizathu, i-FEM ithathwa njengenkxaso ebalulekileyo yokubala okungaxhunyiwe kwi-intanethi, ngokuqhelekileyo ngexesha lesigaba soyilo lokuguqula.
I-lumped parameter method, edla ngokubizwa ngokuba yimodeli yenethiwekhi yokushisa, isetyenziswa ngokubanzi kuhlalutyo lwe-thermodynamic ngenxa yefomu yayo elula yemathematika kunye nesantya esiphezulu sokubala12,13,14.Le ndlela idlala indima ebalulekileyo ekupheliseni imida thermal iinjini 15, 16, 17. Mellor18 waba ngowokuqala ukusebenzisa oluphuculweyo thermal elingana isekethe T umfuziselo inkqubo yokudlulisa ubushushu injini.Verez et al.I-19 yenza imodeli ene-dimensional emithathu yothungelwano lwe-thermal yomatshini osisigxina wemagnethi we-synchronous kunye nokuhamba kwe-axial.U-Boglietti et al.20 bacebise imifuziselo emine yothungelwano olushushu olushiyanayo ukuntsokotha ukuqikelela ubushushu bexeshana elifutshane kwi-stator windings.Ekugqibeleni, u-Wang et al.21 baseke isekethe elinganayo ye-thermal yecandelo ngalinye le-PMSM kwaye ishwankathele i-equation yokumelana ne-thermal.Ngaphantsi kweemeko ezinqabileyo, impazamo inokulawulwa ngaphakathi kwe-5%.
Ngeminyaka yee-1990, imodeli yothungelwano lobushushu yaqala ukusetyenziswa kubaguquli bamandla aphezulu asezantsi.I-Dubus et al.22 iphuhlise imodeli yothungelwano lobushushu ukuchaza ukutshintshwa kobushushu obumileyo kwi-double-sided longitudinal vibrator kunye ne-class IV bend sensor.U-Anjanappa et al.23 wenze uhlalutyo lwe-2D olumileyo lwe-thermal ye-magnetostrictive microdrive usebenzisa imodeli yenethiwekhi ye-thermal.Ukufunda ubudlelwane phakathi kwe-thermal strain ye-Terfenol-D kunye neeparamitha ze-GMT, uZhu et al.I-24 iseke imodeli elinganayo yemeko yokumelana nobushushu kunye nokubala kokufuduswa kwe-GMT.
Uqikelelo lobushushu be-GMT luntsonkothile kakhulu kunosetyenziso lwe-injini.Ngenxa ye-thermal kunye ne-magnetic conductivity egqwesileyo yezinto ezisetyenzisiweyo, uninzi lwamacandelo e-injini aqwalaselwa kubushushu obufanayo buhlala buncitshiswe kwi-node enye13,19.Nangona kunjalo, ngenxa yokungahambi kakuhle kwe-thermal conductivity ye-HMMs, ukucinga ngokusasazwa kobushushu obufanayo akusachanekanga.Ukongeza, i-HMM inomlinganiselo ophantsi kakhulu wemagnethi, ngoko ke ubushushu obuveliswa yilahleko yemagnethi buhlala bungekho yunifomu ecaleni kwentonga ye-HMM.Ukongezelela, uninzi lophando lugxininise kwimifuziselo ezinzileyo engabandakanyi utshintsho lweqondo lokushisa ngexesha lokusebenza kwe-GMT.
Ukuze kulungiswe ezi ngxaki zintathu zobugcisa ezingentla, eli nqaku lisebenzisa i-GMT longitudinal vibration njengento efundwayo kunye nemizekelo echanekileyo yeendawo ezahlukeneyo ze-transducer, ngakumbi intonga ye-GMM.Imodeli yothungelwano olupheleleyo lotshintsho olulinganayo lobushushu (TETN) GMT yenziwe.Imodeli yesiqalelo esinesiphelo kunye neqonga lovavanyo lakhiwe ukuvavanya ukuchaneka kunye nokusebenza kwemodeli ye-TETN yohlalutyo lwe-transducer lobushushu bendawo.
Uyilo kunye nemilinganiselo yejometri ye-HMF ejikelezayo i-longitudinally iboniswe kwi-Fig. 1a kunye ne-b, ngokulandelanayo.
Amacandelo aphambili abandakanya iintonga ze-GMM, iikhoyili zentsimi, iimagnethi ezisisigxina (PM), iidyokhwe, iipads, i-bushings, kunye nemithombo ye-belleville.Ikhoyili yovuselelo kunye ne-PMT zibonelela ngentonga ye-HMM ngomhlaba otshintshanayo wemagnethi kunye nomhlaba wemagnethi othambekele we-DC, ngokulandelelanayo.Ijoka kunye nomzimba, oquka i-cap kunye ne-sleeve, zenziwe nge-DT4 yentsimbi ethambileyo, ene-magnetic permeability ephezulu.Yenza isekethe yamagnetic evaliweyo kunye ne-GIM kunye nentonga ye-PM.Isiqu esiphumayo kunye nepleyiti yoxinzelelo yenziwe ngentsimbi engagqwali ye-304 engeyiyo-magnetic.Ngemithombo ye-belleville, i-prestress ezinzileyo ingasetyenziswa kwi-stem.Xa i-alternating current idlula kwicoil yokuqhuba, intonga ye-HMM iya kungcangcazela ngokufanelekileyo.
Kwikhiwane.I-2 ibonisa inkqubo yokutshintshwa kobushushu ngaphakathi kwe-GMT.Iintonga ze-GMM kunye neekhoyili zentsimi zezona mithombo mibini yobushushu kwii-GMTs.Inyoka idlulisela ubushushu bayo emzimbeni ngokuhambisa umoya ngaphakathi kunye nesiciko ngokuqhuba.Intonga ye-HMM iya kudala ilahleko yamagnetic phantsi kwesenzo sentsimi yamagnetic etshintshanayo, kwaye ubushushu buya kudluliselwa kwiqokobhe ngenxa yokuhanjiswa ngomoya wangaphakathi, kunye nemagnethi esisigxina kunye nedyokhwe ngenxa yokuqhuba.Ubushushu obudluliselwe kwityala ke buchithwa ngaphandle nge-convection kunye ne-radiation.Xa ubushushu obuveliswayo bulingana nobushushu obudluliswayo, ubushushu benxalenye nganye ye-GMT bufikelela kwindawo ezinzileyo.
Inkqubo yokutshintshwa kobushushu kwi-GMO ye-longitudinally oscillating: a - idayagram yokuhamba kobushushu, b - iindlela eziphambili zokuhambisa ubushushu.
Ukongeza kubushushu obuveliswa yi-coil ye-exciter kunye nentonga ye-HMM, onke amacandelo esekethe yamagnetic evaliweyo namava okulahleka kwemagnethi.Ke, umazibuthe osisigxina, idyokhwe, ikepusi kunye nomkhono zilayitiwe kunye ukuze kuncitshiswe ilahleko yamagnetic ye-GMT.
Amanyathelo aphambili ekwakheni imodeli ye-TETN yohlalutyo lwe-thermal ye-GMT ngolu hlobo lulandelayo: amacandelo okuqala eqela kunye namaqondo okushisa afanayo kunye kwaye amele icandelo ngalinye njenge-node eyahlukileyo kwinethiwekhi, emva koko udibanise la mabhobho kunye nokubonakaliswa kobushushu obufanelekileyo.ukuqhuba ubushushu kunye nokuhanjiswa phakathi kweenodi.Kule meko, umthombo wobushushu kunye nemveliso yobushushu ehambelana necandelo ngalinye idityaniswe ngokuhambelanayo phakathi kwe-node kunye ne-voltage ye-zero eqhelekileyo yomhlaba ukwakha imodeli elinganayo yothungelwano lobushushu.Isinyathelo esilandelayo kukubala iiparitha zenethiwekhi ye-thermal yecandelo ngalinye lomzekelo, kubandakanywa ukumelana nokushisa, amandla okushisa kunye nokulahlekelwa kwamandla.Ekugqibeleni, imodeli yeTETN iphunyezwe kwi-SPICE yokulinganisa.Kwaye unokufumana ukuhanjiswa kweqondo lokushisa kwecandelo ngalinye le-GMT kunye nokutshintsha kwayo kwi-domain yexesha.
Ukulungelelaniswa kwemodeli kunye nokubala, kuyimfuneko ukwenza lula imodeli ye-thermal kwaye ungayinaki imiqathango yomda enempembelelo encinci kwiziphumo18,26.Imodeli yeTETN ecetywayo kweli nqaku isekwe kolu qikelelo lulandelayo:
Kwi-GMT enee-windings zamanxeba ngokungakhethiyo, akunakwenzeka okanye kuyimfuneko ukulinganisa indawo yomqhubi ngamnye.Izicwangciso ezahlukeneyo zokubunjwa ziye zaphuhliswa kwixesha elidlulileyo ukulinganisa ukuhanjiswa kobushushu kunye nokusabalalisa ubushushu ngaphakathi kwee-windings: (1) i-conductivity edibeneyo ye-thermal, (2) i-equations ngqo esekelwe kwi-geometry yomqhubi, (3) i-T-equivalent thermal circuit29.
I-Composite conductivity ye-thermal kunye ne-equations echanekileyo inokuqwalaselwa njengezisombululo ezichanekileyo kune-T yesekethe elinganayo, kodwa zixhomekeke kwizinto ezininzi, ezifana nezinto eziphathekayo, i-geometry ye-conductor kunye nomthamo womoya oseleyo kwi-winging, ekunzima ukuyicacisa29.Ngokuchasene noko, i-T-equivalent thermal scheme, nangona imodeli eqikelelweyo, ilungele ngakumbi30.Ingafakwa kwikhoyili yovuselelo enokushukuma okude kwe-GMT.
Indibano ye-cylindrical eqhelekileyo engenanto esetyenziselwa ukumela i-coil ye-exciter kunye ne-T-equivalent diagram ye-thermal, efunyenwe kwisisombululo se-equation yokushisa, iboniswe kumkhiwane.3. Kucingelwa ukuba i-heat flux kwi-coil yokuvuselela izimeleyo kwi-radial kunye ne-axial directions.Ubushushu obujikelezayo buhoywa.Kwisekethe nganye elinganayo T, iitheminali ezimbini zimela ubushushu bomhlaba obuhambelanayo bento, kwaye i-T6 yesithathu imele ubushushu obuqhelekileyo bento.Ilahleko yecandelo le-P6 ifakwe njengomthombo wenqaku kwi-node yeqondo lokushisa eliphakathi elibalwe "kwi-Field coil heat loss calculation".Kwimeko yokulinganisa okungahambiyo, amandla okushisa i-C6 anikezelwa yi-equation.(1) yongezwe kwi-Avareji yeqondo lokushisa.
Apho i-cec, ρec kunye neVec zimele ubushushu obuthile, ubuninzi kunye nomthamo wekhoyili yokuvuselela, ngokulandelelanayo.
Kwitafile.I-1 ibonisa ukuxhathisa kwe-thermal ye-T-equivalent thermal circuit ye-coil yokuvuselela kunye nobude be-lec, i-thermal conductivity λec, i-radius yangaphandle ye-rec1 kunye ne-radius yangaphakathi ye-rec2.
Iikhoyili ze-Exciter kunye ne-T-equivalent thermal circuits: (a) ngokuqhelekileyo i-cylindrical element engenanto, (b) i-axial kunye ne-radial T-equivalent circuits thermal circuits.
Isekethe elinganayo i-T nayo ibonise ukuba ichanekile eminye imithombo yokushisa ye-cylindrical13.Ukuba ngumthombo oyintloko wokushisa we-GMO, intonga ye-HMM inokusasazwa kweqondo lokushisa elingalinganiyo ngenxa ye-conductivity ephantsi ye-thermal, ngokukodwa kwi-axis yentonga.Ngokuchasene noko, i-radial inhomogeneity inokungahoywa, kuba i-radial heat flux yentonga ye-HMM ingaphantsi kakhulu kunobushushu be-radial flux31.
Ukumela ngokuchanekileyo inqanaba le-axial discretization yentonga kunye nokufumana ubushushu obuphezulu, intonga ye-GMM imelwe yi-n nodes ngokulinganayo kwi-axial direction ye-axial direction, kunye nenani leendawo ze-nodes ze-model ye-GMM kufuneka ibe yinto engaqhelekanga.Inani leecontours ezilinganayo ze-axial thermal ngu-n T figure 4.
Ukumisela inani leendawo ezisetyenziselwa ukulinganisa ibar ye-GMM, iziphumo ze-FEM zibonisiwe kwifig.5 njengesalathisi.Njengoko kubonisiwe kwifig.I-4, inani lee-nodes n lilawulwa kwisikimu se-thermal yentonga ye-HMM.I-node nganye inokulinganiswa njengesekethe ye-T elinganayo.Ukuthelekisa iziphumo ze-FEM, ukusuka kwi-Fig. 5 ibonisa ukuba i-nodes enye okanye ezintathu azikwazi ukubonisa ngokuchanekileyo ukuhanjiswa kweqondo lokushisa kwentonga ye-HIM (malunga ne-50 mm ubude) kwi-GMO.Xa i-n inyuswe kwi-5, iziphumo zokulinganisa ziphucula kakhulu kwaye zisondele kwi-FEM.Ukwandisa n ngakumbi kwakhona kunika iziphumo ezingcono ngexabiso lexesha elide lokubala.Ke ngoko, kweli nqaku, ii-node ezi-5 zikhethwa ukwenza imodeli ye-GMM bar.
Ngokusekelwe kuhlalutyo lokuthelekisa olwenziwayo, iskimu esichanekileyo se-thermal yentonga ye-HMM iboniswe kwi-Fig. 6. T1 ~ T5 yiqondo lokushisa eliqhelekileyo lamacandelo amahlanu (icandelo 1 ~ 5) kwintonga.I-P1-P5 ngokulandelanayo imele amandla okushisa apheleleyo emimandla eyahlukeneyo yentonga, eya kuxutyushwa ngokubanzi kwisahluko esilandelayo.I-C1 ~ C5 amandla obushushu bemimandla eyahlukeneyo, enokubalwa ngefomula elandelayo
apho icrod, ρrod kunye neVrod zibonisa umthamo wobushushu obuthile, ubuninzi kunye nomthamo wentonga ye-HMM.
Ukusebenzisa indlela efanayo kunye ne-coil ye-exciter, ukuchasana kokutshintshwa kobushushu kwintonga ye-HMM kwi-Fig. 6 ingabalwa njenge
apho i-lrod, i-rrod kunye ne-λrod zimele ubude, i-radius kunye ne-thermal conductivity yentonga ye-GMM, ngokulandelelanayo.
Kwi-GMT ye-longitudinal vibration efundwe kweli nqaku, amacandelo asele kunye nomoya wangaphakathi unokulinganiswa kunye noqwalaselo olulodwa lwe-node.
Ezi ndawo zinokuthathwa njengeziqulathe iisilinda enye okanye ngaphezulu.Udibaniso lotshintshiselwano lobushushu oluqhutywayo kwinxalenye yecylindrical ichazwa ngumthetho weFourier wokuqhuba ubushushu njengo.
Apho i-λnhs yi-thermal conductivity ye-material, i-lnhs bubude be-axial, i-rnhs1 kunye ne-rnhs2 yi-radii yangaphandle kunye nengaphakathi ye-elementi yokudlulisa ubushushu, ngokulandelelanayo.
I-Equation (5) isetyenziselwa ukubala ukuchasana kwe-thermal ye-radial kule mimandla, emelwe yi-RR4-RR12 kuMfanekiso 7. Ngelo xesha, i-Equation (6) isetyenziselwa ukubala ukuxhatshazwa kwe-axial thermal, emele ukusuka kwi-RA15 ukuya kwi-RA33 kwi-Figure. 7.
Umthamo wokushisa wesekethe enye ye-thermal ye-node yendawo engentla (kuquka i-C7-C15 kwi-Fig. 7) inokumiselwa njenge
apho ii-ρnhs, cnhs, kunye neeVnhs zibubude, ubushushu obuthile, kunye nomthamo, ngokulandelelanayo.
Ukuhanjiswa kobushushu obuphakathi phakathi komoya ngaphakathi kwe-GMT kunye nomphezulu wetyala kunye nokusingqongileyo kulandelwa imodeli enye yesixhasi sokuqhuba i-thermal ngolu hlobo lulandelayo:
apho u-A engumphezulu woqhagamshelwano kwaye u-h ngumlinganiso wokudlulisa ubushushu.Uluhlu lwama-232 ludwelisa ezinye eziqhelekileyo h ezisetyenziswa kwiinkqubo zobushushu.NgokweThebhile.I-2 i-coefficients yokudlulisa ukushisa kwe-thermal resistances i-RH8-RH10 kunye ne-RH14-RH18, emele i-convection phakathi kwe-HMF kunye nokusingqongileyo kwifig.I-7 ithathwa njengexabiso elingaguqukiyo le-25 W / (m2 K).I-coefficients eseleyo yokudlulisa ukushisa ibekwe ilingana ne-10 W / (m2 K).
Ngokwenkqubo yokudlulisa ukushisa kwangaphakathi eboniswe kwi-Figure 2, imodeli epheleleyo ye-converter ye-TETN iboniswe kwi-Figure 7.
Njengoko kubonisiwe kwifig.7, ukungcangcazela kwe-longitudinal ye-GMT yahlulwe yangangamaqhina ali-16, amelwe ngamachaphaza abomvu.Amaqondo obushushu aboniswe kwimodeli ahambelana namaqondo obushushu aphakathi kwamacandelo ahlukeneyo.Ubushushu be-Ambient T0, ubushushu bentonga ye-GMM T1 ~ T5, ubushushu be-coil exciter T6, ubushushu bemagnethi esisigxina T7 kunye ne-T8, ubushushu bedyokhwe T9 ~ T10, ubushushu betyala T11 ~ T12 kunye ne-T14, ubushushu bomoya wangaphakathi T13 kunye nobushushu bentonga yemveliso T15.Ukongezelela, i-node nganye ixhunyiwe kwi-thermal potential of the ground ngokusebenzisa i-C1 ~ C15, emele umthamo we-thermal yendawo nganye, ngokulandelanayo.I-P1~P6 yimveliso yobushushu epheleleyo yentonga ye-GMM kunye ne-coil ye-exciter ngokulandelanayo.Ukongezelela, i-54 i-thermal resistances isetyenziselwa ukumela i-convective resistance and convective resistance to transfer heat phakathi kweendawo ezikufutshane, ezibalwe kumacandelo angaphambili.Itheyibhile 3 ibonisa iimpawu ezahlukeneyo ze-thermal zezinto zokuguqula.
Ukuqikelelwa ngokuchanekileyo komthamo welahleko kunye nokusabalalisa kwabo kubaluleke kakhulu ekwenzeni ukulinganisa okuthembekileyo kwe-thermal.Ilahleko yobushushu eyenziwa yi-GMT inokwahlulwa ibe yilahleko yamagnetic yentonga ye-GMM, iJoule ilahleko ye-coil exciter, ilahleko yomatshini, kunye nelahleko eyongezelelweyo.Ilahleko eyongezelelweyo kunye neelahleko zoomatshini ezithathelwe ingqalelo zincinci kwaye zinokungahoywa.
I-ac excitation resistance coil ibandakanya: i-dc resistance Rdc kunye ne-skin resistance ye-Rs.
apho i-f kunye no-N ziziphindaphindo kunye nenani lokujika kovuselelo lwangoku.I-lCu kunye ne-rCu yi-radii yangaphakathi nangaphandle yekhoyili, ubude bekhoyili, kunye ne-radius yocingo lwemagnethi yobhedu njengoko ichazwa yinombolo yayo ye-AWG (i-American Wire Gauge).I-ρCu kukuxhathisa kondoqo wayo.µCu kukukwazi ukungena kumbindi wayo.
Intsimi yamagnetic ngaphakathi kwikhoyili yentsimi (solenoid) ayifani kunye nobude bentonga.Lo mahluko uphawuleka ngokukodwa ngenxa yokungena kwemagnethi ephantsi ye-HMM kunye neerodi ze-PM.Kodwa i-longitudinally symmetrical.Ukusasazwa kwendawo yamagnetic kumisela ngokuthe ngqo ukuhanjiswa kweelahleko zamagnetic kwintonga ye-HMM.Ngoko ke, ukubonakalisa ukusabalalisa kwangempela kwelahleko, intonga yamacandelo amathathu, eboniswe kuMzobo 8, ithathwa ukulinganisa.
Ilahleko yamagnetic inokufumaneka ngokulinganisa i-hysteresis loop eguqukayo.Ngokusekelwe kwiqonga lokulinga eliboniswe kuMzobo we-11, iilophu ezintathu ze-hysteresis eziguquguqukayo zalinganiswa.Ngaphantsi kwemeko yokuba ubushushu bentonga ye-GMM buzinzile ngaphantsi kwe-50 ° C, unikezelo lwamandla lwe-AC olucwangcisiweyo (Chroma 61512) luqhuba ikhoyili yentsimi kuluhlu oluthile, njengoko kubonisiwe kuMfanekiso 8, ukuphindaphinda kombane owenziwe ngumbane. uvavanyo lwangoku kunye nesiphumo soxinaniso lwe-magnetic flux lubalwa ngokudibanisa i-voltage eyenziwe kwikhoyili ye-induction exhunywe kwintonga ye-GIM.Idatha eluhlaza ikhutshwe kwi-memory logger (MR8875-30 ngosuku) kwaye iqhutywe kwi-software ye-MATLAB ukufumana i-loops ye-hysteresis elinganisiweyo eboniswe kwi-Fig.
Umlinganiselo we-hysteresis loops: (a) icandelo 1/5: Bm = 0.044735 T, (b) icandelo 1/5: fm = 1000 Hz, (c) icandelo 2/4: Bm = 0.05955 T, (d) icandelo 2/ 4: fm = 1000 Hz, (e) icandelo 3: Bm = 0.07228 T, (f) icandelo 3: fm = 1000 Hz.
Ngokutsho koncwadi 37, ilahleko yamagnetic iyonke iPv ngeyunithi yeyunithi yeentonga ze-HMM ingabalwa kusetyenziswa le fomula ilandelayo:
apho i-ABH iyindawo yokulinganisa kwigophe le-BH kwi-magnetic field frequency fm ilingana ne-excitation yangoku frequency f.
Ngokusekwe kwindlela yokwahlula ilahleko ye-Bertotti38, ilahleko yamagnetic ngeyunithi yobunzima bePm yentonga ye-GMM inokubonakaliswa njengesixa selahleko ye-hysteresis Ph, ilahleko yangoku ye-eddy kunye nelahleko engaqhelekanga Pa (13):
Ukusuka kumbono wobunjineli38, ilahleko engaqhelekanga kunye nelahleko yangoku ye-eddy inokudityaniswa ibe yikota enye ebizwa ngokuba yilahleko yeeddi epheleleyo yangoku.Ke, ifomula yokubala ilahleko inokwenziwa lula ngolu hlobo lulandelayo:
kwinxaki.(13)~(14) apho i-Bm ibubude boxinaniso lwemagnethi yomhlaba onika umdla wemagnethi.I-kh kunye ne-kc yi-hysteresis loss factor kunye ne-eddi epheleleyo yangoku yokulahlekelwa yinto.