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设计手册油浸电力变压器铁心计算共页第页油浸电力变压器铁心计算0101目录1铁心材料SB10071第1页2铁心直径的估算SB10071第1页21每柱容量PZH的计算SB10071第1页22铁心直径DO的估算SB10071第1页3铁心中磁通M及磁通密度BM计算SB10071第2页31铁心中磁通MSB10071第2页32磁通密度BMSB10071第2页4空载损耗PO计算SB10071第2页5空载电流IO计算SB10071第2页51中小型变压器6300KVA的空载电流IO计算SB10071第2页52大型变压器6300KVA的空载电流IO计算SB10071第2页6冷轧硅钢片性能数据SB10071第3页7铁心重量计算SB10071第7页71铁心柱重量GZH计算SB10071第7页72铁轭重量GE计算SB10071第7页73角重计算SB10071第7页731三相三柱式铁心角重G计算D形轭SB10071第8页732三相五柱式铁心角重G计算主轭及旁轭均采用相同D形轭SB10071第8页74铁心重量GTX计算SB10071第9页8铁心温升计算SB10071第9页81铁心内部最热点对表面的温差O计算SB10071第9页82铁心表面对油的温差B计算SB10071第9页821铁心级块的单位高度1CM的热负荷QJK计算SB10071第9页822铁心表面对油的温差B计算SB10071第9页83铁心温升计算SB10071第10页831铁心表面温升BP计算SB10071第10页832铁心内部最热点温升M计算SB10071第10页9铁心数据91三相三柱式无拉板结构铁心数据SB10071第11页92三相三柱式拉板结构铁心数据SB10071第13页93三相五柱式拉板结构铁心数据SB10071第16页1铁心材料铁心采用冷轧硅钢片叠积而成,由于硅钢片表面已有附着性较好的绝缘薄膜,故可不再涂漆。铁心常用硅钢片牌号及叠片系数FD从表11中选取。表11铁心常用硅钢片牌号及叠片系数FD硅钢片牌号叠片系数适用范围日本新日铁川崎中国国标FD35Z15535RG15535Z14535RG14535Q15535Q145097097常规产品30Z14030RG14030Q14009630ZH12030RGH12030QG1200961500KV级的产品2要求损耗较低的产品3要求噪声较低的产品27ZH10027RGH1000955要求损耗极低的产品需经批准23ZH9023RGH09023ZDKH9023RGHPJ0900945要求非常特殊的产品需经批准2铁心直径的估算21每柱容量PZH的计算每柱容量是在每个铁心柱上的各绕组额定容量折算成双绕组后的型式容量。KVA11式中PRI各绕组额定容量的总和KVA,如高、中压为自耦联结时,则高压及中压额定容量,应分别乘以效益系数其中U1、U2分别为高压及中压的额定电压KVMZH套有绕组的铁心柱数。22铁心直径D0的估算从表15表17中选取标准直径MM12式中KD铁心直径经验系数,对冷轧硅钢片的铁心及铜绕组的变压器,一般取KD5257,对特大型变压器,由于运输高度的限制,此经验系数有时取得还要大些PZH每柱容量KVA,按公式11计算。资料来源编制校核标审提出部门审定标记处数更改文件号签字日期实施日期批准油浸电力变压器铁心计算共19页第1页代替设计手册HZIRHZM212QUK25ZHP3铁心中磁通M及磁通密度BM计算31铁心中磁通WB13当F50HZ时WB13A32磁通密度T14式中ET每匝电势V,见线圈计算F额定频率HZSZH铁心柱净截面CM2,根据表11的叠片系数FD,从铁心数据表中选取,三相三柱式无拉板结构DO70395从表15中选取三相三柱式拉板结构DO3401000从表16中选取三相五柱式拉板结构DO7801600从表17中选取。4空载损耗P0计算W15式中KP0空载损耗工艺附加系数,铁心为全斜接缝时,从表12中选取PTX铁心硅钢片单位损耗W/KG,根据铁心柱磁通密度BM,从表13或表14中选取GTX铁心硅钢片总重量KG,按公式112计算。5空载电流I0计算一般忽略由空载损耗产生的空载电流的有功部分51中小型变压器6300KVA的空载电流I0计算1652大型变压器6300KVA的空载电流I0计算17式中GZH、GE、G、GEX铁心柱重、铁轭重、铁心角重及铁心总重量KG,分别按公式18至公式112计算,角重可从表15至表17中直接选取K铁心转角部分励磁电流增加系数,对全斜接缝,一般取K4SZH铁心柱净截面CM2,从表15至表17中选取NJ铁心接缝总数,三相三柱式一般取NJ8QTX铁心单位磁化容量VA/KG,根据心柱磁密BM,从表13或表14中选取QJ接缝磁化容量VA/CM2,根据斜接缝处磁密,从表13或表14中选取PR额定容量KVAKI0空载电流附加系数,铁心为全斜接缝时,从表12中选取。表12附加系数铁心为全斜接缝时铁心形式三相三柱式三相五柱式单相二柱容量KVA10010050063016002000630080006300063000等轭不等轭三四柱式系数KPO131251211811511512135105共页第页油浸电力变压器铁心计算192F4ETT31054ZHMSB7215力XTTOPOGKPRJZHTXEZHOP1QNS2QKGRTXTIOO2/J系数KIO1614141613注三相五柱式等轭是指主轭和旁轭截面相等,不等轭是指主轭和旁轭截面不相等。6冷轧硅钢片性能数据冷轧硅钢片性能数据,可按表13公式计算,或直接从表14中选取。表13冷轧硅钢片性能数据计算公式50HZ硅钢片牌号铁心硅钢片单位损耗PTXW/KG35Q155或35Z155PTX08800BM662783BM5170669BM4229573BM3158534BM258481BM0822335Q145或35Z145PTX00835BM609795BM529939BM438683BM318866BM205736BM0021730Q140或30Z140PTX17809BM6131124BM5380493BM4561093BM3440967BM2180062BM2893930Q130或30Z130PTX15823BM697965BM5246357BM4319239BM3226971BM279400BM1133930QG120或30ZH120PTX18690BM6114113BM5283144BM4363681BM3257433BM291095BM1336627QG110或27ZH110PTX21548BM6136051BM5351257BM4472836BM3351903BM2133025BM2061327QG100或27ZH100PTX19297BM6117533BM5291399BM4375704BM3268344BM297052BM14403硅钢片牌号BM145T的铁心单位磁化容量QTXVA/KG35Q155或35Z155QTX48274BM6257023BM5562799BM4647507BM3417033BM2137745BM1922335Q145或35Z145QTX29842BM6153992BM5327524BM4366953BM3233006BM274853BM1043130Q140或30Z140QTX01083BM623843BM588286BM4140577BM3109084BM245790BM0696430Q130或30Z130QTX14783BM668160BM5126880BM4118062BM358606BM209722BM0037630QG120或30ZH120QTX03832BM610672BM502876BM418847BM321212BM212956BM0203127QG110或27ZH110QTX18337BM699149BM5223342BM4266411BM3179347BM259472BM0841827QG100或27ZH100QTX17578BM696301BM5219050BM4261707BM3174491BM256493BM07689硅钢片牌号BM145T的铁心单位磁化容量QTXVA/KG35Q155或35Z155QTX209922351BM61939663635BM57461589080BM415295033842BM317619023391BM210813865451BM2762626779135Q145或35Z145QTX356631360BM63385821027BM513383318493BM428189658453BM333368211050BM221044630665BM552435591130Q140或30Z140QTX262837512BM62481075545BM59752885046BM42043303558BM324061697472BM215099331333BM39444888730Q130或30Z130QTX209046342BM61965738985BM57698965323BM416074017252BM318866245028BM211802027017BM307395989730QG120或30ZH120QTX187600210BM61786347179BM57079989897BM414949346951BM317735383478BM211208524452BM294797191527QG110或QTX134600734BM61260754130BM54917097429BM410220403747BM3油浸电力变压器铁心计算共页第页19327ZH11011940214623BM27433620138BM192667971827QG100或27ZH100QTX132932496BM61260474866BM54976305106BM410469502658BM312379050699BM27799072543BM2045328786接缝磁化容量QJVA/CM2,按斜接缝处磁密BMJBM/1414计算BM145TQJ115526BMJ6594563BMJ51195772BMJ41219129BMJ3664343BMJ2182845BMJ19663BM145TQJ774084BMJ69453550BMJ546437887BMJ4118195014BMJ3165281076BMJ2120845185BMJ36192298表14冷轧硅钢片性能数据表50HZ硅钢片牌号27QG10027ZH10027RGH10027QG11027ZH11027RGH11030QG12030ZH12030RGH12030Q13030Z13030RG13030Q14030Z14030RG14035Q14535Z14535RG14535Q15535Z15535RG155所有硅钢片牌号磁通密度T单位铁损W/KG磁化容量VA/KG单位铁损W/KG磁化容量VA/KG单位铁损W/KG磁化容量VA/KG单位铁损W/KG磁化容量VA/KG单位铁损W/KG磁化容量VA/KG单位铁损W/KG磁化容量VA/KG单位铁损W/KG磁化容量VA/KG接缝磁化容量VA/CM2050008001300094013501100140010501450110014501160150012301550005052008701400102014501190150011401550119015501250160013301650006054009401500110015501280160012301650128016501350170014301750007056010201600118016501370170013201750137017501450180015301850008058011001700126017501460180014101850146018501550190016401950009060011801800134018501550190015001950155019501650200017502050010062012601910142019601640201016002070165020701760212018602170012064013402020151020701730212017002190175021901870224019702290014066014202130160021801820223018002310185023101980236020802410016068015002240169022901910234019002430195024302090248021902530018070015802350178024002000245020002550205025502200260023002650020071016202410182024602050251020602610211026102260267023602720021072016602470186025202100257021202670217026702320274024202790022073017002530190025802150263021802730223027302380281024902860023074017402590194026402200269022402790229027902440288025602930024075017802650198027002250275023002850235028502500295026303000025076018302710203027602300282023602910241029202560302027003070027077018802770208028202350289024202970247029902620309027703140029078019302830213028802400296024803030253030602680316028403210031079019802890218029402450303025403100259031302740323029203280033080020302950223030002500310026003170265032002800330030003350036081020803010228030702560317026603240271032702870338030803430039082021303070233031402620324027203310277033402940346031603510042083021803130238032102680331027803380283034103010354032403590045084022303190243032802740338028403450290034803080362033203670048085022803250249033502800345029003520297035503150370034003750051086023303320255034202860352029603590304036303230378034803830054087023803390261034902920359030203660311037103310386035603910057088024303460267035602980366030803730318037903390394036403990060089024903530273036303040373031403800325038703470402037204070063090025503600279037003100380032003880332039503550410038004150067091026103670285037703160388032603950339040303630419038804240071092026703740291038403220396033204020346041103710428039604330075093027303810297039103280404033804090353041903790437040404420080094027903880303039803340412034404170360042703870446041204510085095028503950309040503400420035004250367043503950455042004600090油浸电力变压器铁心计算共页第页194096029104020315041203470428035704340374044404030464042804690096097029704090322041903540436036404430381045304110473043604780102098030304160329042603610444037104520389046204190482044404870109099030904230336043303680452037804610397047104270491045204960117100031504300343044003750460038504700405048004350500046005050125101032204380350044803820468039304790413048904440510046805150135102032904460357045603890476040104880421049804530520047605250145103033604540364046403960484040904970429050704620530048405350155104034304620371047204030492041705060437051604710540049205450165105035004700378048004100500042505150445052504800550050005550175续表14冷轧硅钢片性能数据表50HZ硅钢片牌号27QG10027ZH10027RGH10027QG11027ZH11027RGH11030QG12030ZH12030RGH12030Q13030Z13030RG13030Q14030Z14030RG14035Q14535Z14535RG14535Q15535Z15535RG155所有硅钢片牌号磁通密度T单位铁损W/KG磁化容量VA/KG单位铁损W/KG磁化容量VA/KG单位铁损W/KG磁化容量VA/KG单位铁损W/KG磁化容量VA/KG单位铁损W/KG磁化容量VA/KG单位铁损W/KG磁化容量VA/KG单位铁损W/KG磁化容量VA/KG接缝磁化容量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油浸电力变压器铁心计算共页第页19514106240855066208600726089007831002080910210843103008731040142142063308700672087507370905079610240822104308561051088610611481430642088606820891074809210809104608351066087010730900108315414406510903069209080759093708221070084810900885109609151107160145066009200703092507700954083510950861111509001120093011331661460670093807140943078209710848112008741140091511460945116117214706800957072509620794098908611146088811660930117309601191179148069009770736098208061007087411730902119309461201097612231861490700099807481003081810260887120109161221096312300993125619315007101020076010250830104509001230093012500980126010101290200续表14冷轧硅钢片性能数据表50HZ硅钢片牌号27QG10027ZH10027RGH10027QG11027ZH11027RGH11030QG12030ZH12030RGH12030Q13030Z13030RG13030Q14030Z14030RG14035Q14535Z14535RG14535Q15535Z15535RG155所有硅钢片牌号磁通密度T单位铁损W/KG磁化容量VA/KG单位铁损W/KG磁化容量VA/KG单位铁损W/KG磁化容量VA/KG单位铁损W/KG磁化容量VA/KG单位铁损W/KG磁化容量VA/KG单位铁损W/KG磁化容量VA/KG单位铁损W/KG磁化容量VA/KG接缝磁化容量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油浸电力变压器铁心计算共页第页19618614849840155611951676860017502124185622001926232019902620635187153011711604139517241010179424581894254519682707203230306571881580140416561628177511901842284219312950201131502075350068018916351689171218981829140018903286197034252055366021204050705190170020351774221018861650194038002010400021004250217047007301911921931941957铁心重量计算71铁心柱重量GZH计算GZHMZHHOSZHTX104KG18式中MZH套有线圈的铁心柱数,单相两柱式MZH2三相三柱式及三相五柱式MZH3HO铁心窗高MM,见图11SZH铁心柱净截面CM2TX铁心硅钢片密度G/CM3,冷轧硅钢片取TX765G/CM3。72铁轭重量GE计算GEMEMOSEMEBMOBSB2HOPSPTX104KG19式中ME上下主轭的心柱中心距MO数目,三相三柱式及三相五柱式ME4单相两柱式ME2MEB边轭即铁心柱至旁轭的中心距MOB数目,三相五柱式MEB4MO铁心柱中心距MM见图11MOB边轭即铁心柱至旁轭中心距MM见图11CHOP旁轭窗高MM,见图11CSE上下主轭净截面CM2SB上下两侧边轭净截面CM2SP旁轭净截面CM2。共页第页油浸电力变压器铁心计算197TX铁心硅钢片密度G/CM3,冷轧硅钢片取TX765G/CM3。73角重计算角重是指边柱中心线外侧铁轭四个角的重量及心柱与铁轭各级填补的重量(如图12中阴影部分所示)。标准铁心的角重,具体数据可从表15至表17查得,下面仅以三相变压器为例,计算其角重。731三相三柱式铁心角重G计算D形轭N1轭窗内平直厚A单相两柱式B三相三柱式C三相五柱式图11铁心型式BENHENMOMOBMOBMOMOMOMOHOPHO。HOHO共页第页油浸电力变压器铁心计算19LN8BNMO轭内侧梯形高图12铁心角重计算示意图BE1B1HB3BF104L210FH120FL8GNMIIEIN1IIEITXD6NIIEIN1IIETXD6NMI6TXDIEIN1I6TXDIE732三相五柱式铁心角重G计算主轭及旁轭均采用相同的D形轭式中LI四角处心柱或旁轭中心至外侧第I级的片长MM,对三相三柱式铁心而言,LIBI/2BI心柱第I级的片宽MMBEI铁轭第I级的片宽MMHEI铁轭第I级的填补的高度MMI第I级的叠片厚度MM第1级主级取一半厚度,见图12FD叠片系数,从表11中选取TX铁心硅钢片密度G/CM3冷轧硅钢片取TX765G/CM3。74铁心重量GTX计算GTXGZHGEGKG112式中GZH铁心柱重量KG,按公式18计算GE铁轭重量KG,按公式19计算G角重KG,按公式110及公式111计算或查表15至表17。8铁心温升计算铁心中两个油道之间或油道至最外级间的各级块分别计算81铁心内部最热点对表面的温差O计算铁心各级块分别计算165KK113式中KP0空载损耗附加工艺系数,从表12中选取如标准铁心设计时,取下列数据三相三柱式KP0115三相五柱式KP012PTX铁心硅钢片单位损耗W/KG,从表13或表14中选取如标准铁心设计时,取下列数据采用冷轧硅钢片35Z155,当BM175T时,PTX16W/KGFD铁心叠片系数,从表11中选取,采用冷轧硅钢片35Z155时,FD097M铁心级块铁心中两个油道之间或油道至最外级间的总厚度CMSJK铁心级块毛截面积CM2。共页第页油浸电力变压器铁心计算199KG110KG111H3H2BL2F10410FHB120F810FL8GNMIIEINMIIEIN1IIETXD6NMI6TXDIEINI6TXDIEINI6TXDIE2MKJ2DXTOP3OSF1018282铁心表面对油的温差B计算铁心各级块分别计算821铁心级块的单位高度1CM的热负荷QJK计算铁心各级块分别计算W/M2114式中KP0空载损耗附加工艺系数,从表12中选取如标准铁心设计时,取下列数据三相三柱式KP0115三相五柱式KP012PTX铁心硅钢片单位损耗W/KG,从表13或表14中选取如标准铁心设计时,取下列数据采用冷轧硅钢片35Z155,当BM175T时,PTX16W/KGTX铁心硅钢片密度G/CM3,冷轧硅钢片取TX765G/CM3FD铁心叠片系数,从表11中选取,采用冷轧硅钢片35Z155时,FD097SJK铁心级块毛截面积CM2BM铁心级块中的最大片宽CMM铁心级块铁心中两个油道之间或油道至最外级间的总厚度CMM修正系数。最外部级块油道至最外级间的级块M1中间级块当M75CM时M1当M20CM时M05当75M20CM时M13004M115822铁心表面对油的温差B计算铁心各级块分别计算自然油循环冷却方式305KK116强迫油循环冷却方式305KK11783铁心温升计算831铁心表面温升BP计算K118832铁心内部最热点温升M计算K119式中YM铁心表面的油温升K,一般取顶层油温升,见油温升计算B铁心表面对油的温差K,按公式116或公式117计算,并取各级块计算中的较大数值O铁心内部最热点对表面的温差K,按公式113计算,并取各级块共页第页油浸电力变压器铁心计算1910MJDXTTOPJKB2SFQ60KJBQ35J1BYOBYM计算中的较大数值。9铁心数据91三相三柱式无拉板结构铁心数据见表15表15三相三柱式无拉板结构铁心数据表心柱铁轭截面积CM2三相角重KG铁心直径MM纸筒内径MM撑条数级数FD100FD097FD096FD100FD097FD096主级片宽MM小级片宽MM主级厚度MM叠片总厚MM夹件内距MM夹件绝缘MM707666350534003365373636652025677127581664020389938594645447020267276280866646004462441657555475252876802859166521050545002686665802529818529096665810563655788179788525288690295101666470627662119593929030309094210010687725570376965113110109953031959921051118780207779769913212812610030321001042110116878790852684381521471451053532104108211512187964093519254174168167110353310911321201268710450101371003219719118911535341141182共页第页油浸电力变压器铁心计算1911125131871137011029109152242172151203535119123213013687122851191711794252245242125403512312721351418713280128821274928427527213040361281322140146881436513934137903183093061354037133137214515188154501498714832356345342140453813814221501568816545160491588339538337914545371431472155161881764017111169344344214171505038146150216016688188801831418125481466461155504015215621651718820060194581925852851250616050391571612170176882123020593203815765595531655040162166217518188225102183521610630611605170554016617021801868923955232362299768966866217555411711752185191892532024560243077487267181805542176180219019689267202591825651812788779185604218018421952018928140272962701487885284319060431851892200206892962028731284359499219111956044190194220521393100030070297609879579471956562194206621021893254031564312381062103010202006563199211621522393421533189328461145111110992056565205217622022881035810347363437812261189117721070642082206225233或103759036462360861319127912662157066214226623023810103928038102377091410136813542207067219231623524310410203978939379150714621447225706822423662402481042790415064107816081559154323075682282406245253104456543228427821712166016432357569233245625025810464404504744582182217671749240757023825062552631048310468614637819351877185724580702422546注铁心直径70395三相三柱式无拉板结构的铁心各级叠片尺寸见SB10112表中撑条数为主撑条参考数,根据机械力的要求,可适当增加。续表15三相三柱式无拉板结构铁心数据表心柱铁轭截面积CM2三相角重KG铁心直径MM纸筒内径MM撑条数级数FD100FD097FD096FD100FD097FD096主级片宽MM小级片宽MM主级厚度MM叠片总厚MM夹件内距MM夹件绝缘MM26027011503

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