१ቍڤ᧢ᚘᕴૠ
(Flyback Transformer Design Theory)
* ʳᄗ ૪
* ՠʳ܂ʳʳ
* ʳૠʳֱʳऄ
* ʳʳૠʳኔʳࠏ
* ՛
ઔ࿇ຝݾ֭གᓰ
Lisc
ֲཚ:2009/11/28
รԫᆏ. ᄗ૪.
१ቍڤ(Flyback)᠏ངᕴԾጠጤ֘ᖿڤࢨ"Buck-Boost"᠏ངᕴˁڂࠡᙁנጤڇᢰ៥ิឰၲሽᄭ
ʳழᛧ౨ၦਚۖټˁᠦᒵী१ቍڤ᠏ངᕴቹڕቹ.
ԫΕ१ቍڤ᠏ངᕴऱᚌរڶ:
1. ሽሁ១ʿ౨ய༼ࠎڍሁऴੌᙁנ,
ڂڼᔞٽڍิᙁנޣ.
2. ᠏ངயʿჾ؈՛.
3. ᧢ᚘᕴרᑇֺଖለ՛.
4. ᙁԵሽᚘڇৰՕऱᒤփं೯ழʿսױڶለࡳऱᙁנʿؾছբױኔٌੌᙁԵڇ 85~265V
ၴˁྤᏁ֊ངۖሒࠩࡳᙁנऱޣ.
ԲΕ१ቍڤ᠏ངᕴऱរڶ:
1. ᙁנሽᚘխژڇለՕऱెंʿሉᓳᖞ壄৫լʿڂڼᙁנפ࠹ࠩૻࠫʿຏൄᚨش࣍150W
אՀ.
2. ᠏ང᧢ᚘᕴڇሽੌຑᥛ(CCM)ᑓڤՀՠ܂ழ,ڶለՕऱऴੌ։ၦ,࣐ᖄીज़堷ࡉ,ࢬאؘႊ
१ቍڤ᧢ᚘᕴૠ
(Flyback Transformer Design Theory)
বय़ᕴ䆒䅵䌘ற.xls 1/12 Lisc Oct.
2. ᠏ང᧢ᚘᕴڇሽੌຑᥛ(CCM)ᑓڤՀՠ܂ழ,ڶለՕऱऴੌ։ၦ,࣐ᖄીज़堷ࡉ,ࢬאؘႊ
ڇሁխףԵᎼʿൕۖທګ᧢ᚘᕴ᧯ᗨ᧢Օ.
3. ᧢ᚘᕴڶऴੌሽੌګٝʿٵழᄎՠ܂࣍CCM / DCMࠟጟᑓڤʿਚ᧢ᚘᕴڇૠழለܺᣄʿ֘
༚ᓳᖞڻᑇለႉٻڤڍʿ૯זመ࿓ለᵵᠧ.
รԲᆏ. ՠ܂
ڇቹ˄ࢬقሶᠦ֘ቍڤ᠏ངᕴ(The isolated flyback converter)խ, ᧢ᚘᕴ" T "ڶሶᠦፖރੌհᠨૹ
ʳ܂شˁڂڼ" T "ԾጠTransformer- choke.ሽሁऱՠ܂ڕՀ:
ᅝၲᣂདྷ᧯ጥ Tr tonழʿ᧢ᚘᕴॣ్Npڶሽੌ Ip,ࠀല౨ၦᚏژ࣍ࠡխ(E = LpIp / 2).ط࣍NpፖNs
ʳᲞࢤઌ֘ʿڼழԲᲞጥ˗֘ٻೣᚘۖኲַʿྤ౨ၦႚಬࠩሉˁᅝၲᣂTr off ழʿطᄛڻࡳ৳ :
(e = -NϦӥ˂ϦT)ױवʿ᧢ᚘᕴᢰ៥ิലขسԫ֘ٻሽႨʿڼழԲᄕጥ˗إٻᖄຏʿሉڶሽੌIL
ʳੌຏˁ१ቍڤ᠏ངᕴհኪंݮڕቹ2.
طቹױवʿᖄຏழၴ tonऱՕ՛ലެࡳIpΕVceऱ༏ଖ:
Vce max = VIN / 1-Dmax
VIN: ᙁԵऴੌሽᚘ ; Dmax : ່Օՠ܂ࡌཚ
Dmax = ton / T
বय़ᕴ䆒䅵䌘ற.xls 1/12 Lisc Oct.
طڼױवʿუࠩ܅ऱႃሽᲞሽᚘʿؘႊঅ܅ऱDmaxʿՈ༉ਢDmaxІ0.5,ڇኔᎾᚨشխຏൄ࠷
Dmax = 0.4,אૻࠫVcemax Љ 2.2VIN.
ၲᣂጥTr onழऱႃሽᲞՠ܂ሽੌIe,Ո༉ਢᢰଖሽੌIp: Ic = Ip = IL / n. ڂIL = Io,ਚᅝIoԫ
ࡳழʿרֺ nऱՕ՛ܛެࡳԱIcऱՕ՛ʿՂڤਢਊפښਁঞʿ೫ᢰڜרᑇʳઌ NpIp = NsIsۖᖄ
נ. IpٍױشՀ٨ֱऄ।ق:
Ic = Ip = 2Po / (ӯ*VIN*Dmax) ӯ: ᠏ངᕴऱய
ֆڤᖄנڕՀ:
ᙁנפ : Po = LIp2ӯ / 2T
ᙁԵሽᚘ : VIN = Ldi / dt di = Ipʿ 1 / dt = f / Dmaxʿঞ:
VIN = LIpf / Dmax ࢨ Lp = VIN*Dmax / Ipf
ঞPoԾױ।ق :
Po = ӯVINf DmaxIp
2 / 2f Ip = 1/2ӯVINDmaxIp
Р Ip = 2Po / ӯVINDmax
Ղ٨ֆڤխ :
VIN : ່՛ऴੌᙁԵሽᚘ (V) Dmax : ່Օᖄຏ़ֺ ቹ2 १ቍڤ᠏ངᕴंݮቹ
Lp : ᧢ᚘᕴॣ్ሽტ (mH) Ip : ᧢ᚘᕴᢰଖሽੌ (A)
বय़ᕴ䆒䅵䌘ற.xls 2 / 12 Lisc Oct.
Lp : ᧢ᚘᕴॣ్ሽტ (mH) Ip : ᧢ᚘᕴᢰଖሽੌ (A)
f : ᠏ང᙮ (KHZ)
طՂ૪ᓵױवʿ᠏ངᕴऱ़ֺፖ᧢ᚘᕴऱרᑇֺ࠹ૻ࣍ၲᣂሽདྷ᧯રᚘፖ່ՕႃሽᲞሽੌ,
ۖڼࠟႈਢᖄીၲᣂདྷ᧯ګءՂ֒ऱᣂڂైʿڂڼૠழᏁጵٽەၦ࠷ॐ.
֘ᖿڤ᧢ངᕴԫՠ܂࣍ࠟጟՠ܂ֱڤ :
1. ሽტሽੌլຑᥛᑓڤDCM (Discontinuous Inductor Current Mode)ࢨጠ " ݙ٤౨ၦ᠏ང ": tonழ
ᚏژڇ᧢ᚘᕴխऱࢬڶ౨ၦڇ֘ᖿࡌཚ (toffʼխຟ᠏ฝࠩᙁנጤ.
2. ሽტሽੌຑᥛᑓڤCCM ( Continuous Inductor Current Mode) ࢨጠ " լݙ٤౨ၦ᠏ང " : ᚏژ
ʳڇ᧢ᚘᕴխऱԫຝ։౨ၦڇtoffأঅఎࠩՀԫଡtonࡌཚऱၲࡨ.
DCMࡉCCMڇ՛ॾᇆႚᎠࠤᑇֱ૿ਢᲞլઌٵऱʿࠡंݮڕቹ3.ኔᎾՂʿᅝ᧢ངᕴᙁԵሽᚘVIN
ʳڇԫଡለՕᒤփ࿇س᧢֏ʿࢨਢሉሽੌ ILڇለՕᒤփ᧢֏ழʿؘྥሀ။ထࠟጟՠ܂ֱڤˁڂڼ
१ቍڤ᠏ངᕴޣڇDCM / CCMຟ౨ࡳՠ܂ˁ܀ڇૠՂਢֺለܺᣄऱˁຏൄݺଚױאאDCM /
CCMᜯणኪ܂ૠഗᄷ.,ࠀאሽੌᑓڤ൳ࠫPWM.ڼऄױڶயᇞެDCMழհٺጟംᠲʿ܀ڇ
CCMழྤೈሽሁࡐڶऱլࡳംᠲˁױشᓳᆏ൳ࠫᛩᏺ墿ᒳᠦ܅᙮ࡉ૾܅ᛳኪᚨຒ৫ࠐᇞ
ެCCMழڂႚᎠࠤᑇ " ׳תؓ૿ሿរ "֧ದऱլࡳ.
বय़ᕴ䆒䅵䌘ற.xls 2 / 12 Lisc Oct.
(҇) DCM Waveforms ( ҈ ) CCM Waveforms
ቹ3 DCM / CCM೫ᢰሽੌंݮቹ
( a )
( b )
( a )
I
t
I
t
II
t
t
Full Load
High VIN
Mode Boundary
Low VIN
( b )
বय़ᕴ䆒䅵䌘ற.xls 3 / 12 Lisc Oct.
ቹ3 DCM / CCM೫ᢰሽੌंݮቹ
ڇࡳणኪՀʿຏᏺၦӔӥڇtonழऱ᧢֏ؘႊ࣍ڇ"toffʵழऱ᧢֏ʿܡঞᄎທګज़堷ࡉ.
ڂڼ,
Ӕӥ = VIN ton / Np = Vs*toff / Ns
ܛ᧢ᚘᕴᢰ៥ิޢרऱٗ˂ઞଖؘႊ࣍೫ᢰ៥ิޢרٗ˂ઞଖ.
ֺለቹˆխDCMፖCCMհሽੌंݮױאवሐ:DCMणኪՀڇTr tonཚၴʿᖞଡ౨ၦ᠏ฝंݮխࠠ
ʳڶለऱᢰଖሽੌʿຍਢڂॣ్ሽტଖLpઌኙለ܅հਚʿࠌIp৺Ꮳ֒ࢬທګऱ૿யᚨਢᏺ
ʳףԱ៥ิჾ(winding lose)ࡉᙁԵៀंሽ୲ᕴऱዮंሽੌʿൕۖޣၲᣂདྷ᧯ጥؘႊࠠڶሽੌࢭ
ʳሉ౨Ժʿֱ౨ڜ٤ՠ܂.
ڇCCMणኪխʿᢰଖሽੌለ܅ʿ܀ၲᣂདྷ᧯ڇtonणኪழڶለऱႃሽᲞሽੌଖˁڂڼᖄીၲ
ʳᣂདྷ᧯פऱˁٵழሒګCCM,༉Ꮑڶለऱ᧢ᚘᕴᢰሽტଖLp,ڇ᧢ᚘᕴज़խࢬᚏ
ʳژऱྲྀ塒౨ၦঞޣ᧢ᚘᕴऱ᧯ᗨለDCMழՕʿۖࠡהߓᑇਢઌऱ.
ጵՂࢬ૪,DCMፖCCMऱ᧢ᚘᕴڇૠழਢഗءઌٵऱʿਢڇᢰଖሽੌऱࡳᆠڶࠄܑ
( CCMழ Ip = Imax - Imin ).
বय़ᕴ䆒䅵䌘ற.xls 3 / 12 Lisc Oct.
รԿᆏ FLYBACK TANSFORMER DESIGN
ԫΕFLYBACK᧢ᚘᕴૠհەၦڂై:
1. ᚏ౨౨Ժ.ʳᅝ᧢ᚘᕴՠ܂࣍CCMֱڤழʿط࣍נԱऴੌ։ၦʿᏁףAIR GAP,ࠌ֏ڴᒵٻ H
ၗႜʿൕۖࠌ᧢ᚘᕴ౨ࢭ࠹ለՕऱሽੌʿႚᎠޓڍऱ౨ၦ.
P = f*VeНBs H d B Ve: ज़ࡉᎼऱڶய᧯ᗨ.
or P = 1/2Lp (Imax
2 - Imin
2)
ڤխImax, Imin
—— ᖄຏࡌཚأʿࡨጤઌᚨऱሽੌଖ.
ط࣍१ቍڤ᧢ᚘᕴज़ՠ܂ڇรԫွૻዩڃᒵʿज़ڇٌΕऴੌ܂شՀऱB.Hய࣠ፖAIR
GAPՕ՛ڶയ֊ᣂᜤʿڕቹ4.
Br
Bs
ڶᎼ
B
ϦBac
ڇHDC2ழྤᎼ
BDC
Bs
ቹ 4 ڶྤᎼழ१ቍ᧢ᚘᕴज़
รԫွૻዩڃሁ
ڇٌੌሽੌՀᎼኙӔBacྤޏ᧢ய࣠ʿ܀ኙӔHacലՕՕᏺףʿຍਢڶܓऱԫ૿ʿױڶயچ྇՛
COREऱڶயᖄࡉ྇֟ᢰ៥ิऱሽტ.
ڇऴੌሽੌՀᎼऱףԵױࠌCOREࢭ࠹ޓףՕऱऴੌሽੌװขسHDCʿۖBDCথፂլ᧢ʿڂڼ
ʳڇՕऱऴੌೣᆜՀױڶயچַज़堷ࡉʿຍኙ౨ၦऱᚏژፖႚᎠຟਢڶܓऱ. ᅝ֘ᖿ᧢ᚘᕴՠ܂
ʳ࣍CCMழʿڶઌᅝՕऱऴੌګٝʿຍழ༉ؘႊڶᎼ.
؆ףऱٗઞଖʿרᑇࡉज़૿ᗨެࡳԱ˕ၗՂӔBacଖ; ऴੌऱؓ݁ሽੌଖʿרᑇࡉሁ९৫ެࡳ
ʳԱ˛ၗՂHDCଖऱۯᆜ. ӔBacኙᚨԱӔHacଖऱᒤˁױאנʿᎼՕӔHac༉Օ. ڕڼʿ༉ؘႊʳڶߩ
ʳജऱज़Ꮌࠐַ堷ࡉणኪࠀؓऴੌګ։.
ྤᎼ
H
Ϧ Ϧ
বय़ᕴ䆒䅵䌘ற.xls 4/12 Lisc Octবय़ᕴ䆒䅵䌘ற.xls 4/12 Lisc Oct
2. ႚᙁפ .ʳط࣍COREޗறࢤʿ᧢ᚘᕴݮणʻ।૿ᗨኙ᧯ᗨऱֺ),।૿ऱᑷ༏୴ʿւᄵ֒ʿՠ
ʳ܂ᛩቼऱլࡳࢤʿૠழլױނႚᙁפፖ᧢ᚘᕴՕ՛១ऱ܂ᜤᢀʿᚨီࡳޣ܂ެˁڂڼ
ʳش૿ᗨଊᗨऄޣհAPଖຏൄ܂ԫጟە. ڶᆖ᧭հૠृຏൄױٽࡳޣऴ൷ᒔࡳCORE
ʳհޗᔆʿݮणʿ.
3. ʿ೫ᢰ៥ิޢרٗᑇᚨঅઌٵ.ૠழᄎሖࠩ೫ᢰרᑇᏁطૠጩࢬ։ᑇר࠷ᖞʿۖᖄ
ʳી೫ᢰޢרٗᑇ܅࣍ᢰޢרٗᑇ. ڕڼ֧ದ೫ᢰऱޢרٗઞଖ՛࣍ᢰʿࠌࠡሒࠩؓᘝ༉ؘႊ྇
ʳ՛ tonழၴʿشለ९ऱழၴࠐႚᙁሽ౨ࠩᙁנጤ. ܛޣᖄຏ़ֺ˗՛࣍0.5. ࠌሽሁՠ܂࣍DCMᑓڤ.
ʳ܀ڇڼᏁࣹრ: ૉ Lp֜ՕʿሽੌՂ֒՛,tonழၴԾʻІ50%),ৰױ౨ڇʵᖄຏʵޔʳழʿሽੌՂ֒ଖ
ʳլՕʿנሽሁڶ౨ԺװႚᎠࢬᏁפऱွ. ຍԫွਢڂߓอ۞ݺפૻࠫʳհਚˁױຏመᏺף
AIR GAPࡉ྇՛ሽტLp,ࠌ۞ݺૻࠫ܂شլᄎขسࠐᇞެڼംᠲ.
4. ሽტଖLp . ሽტLpڇ᧢ᚘᕴૠॣཚլ܂ૹរەၦ. ڂLpᐙၲᣂሽᄭऱՠ܂ֱڤ. ਚ
ʳڼԫᑇطሽሁՠ܂ֱڤޣ܂ᓳᖞ. Lpऱ່Օଖፖ᧢ᚘᕴჾ່՛ଖਢԫીऱ. ڕ࣠ૠࢬLp
ʳՕʿԾޣאCCMֱڤՠ܂ʿঞଶ؏ٽᔞ. ۖૉᏁאDCMֱڤՠ܂ழʿঞ౨شᏺՕAIR GAP,૾܅Lpࠐ
ʳሒࠩޣʿຍᑌʿԫ֊݁լᄎࠌ᧢ᚘᕴೣᠦૠ.
বय़ᕴ䆒䅵䌘ற.xls 5 / 12 Lisc Oct.
ڇኔᎾૠխຏመᓳᖞᎼՕ՛ࠐᙇࡳ౨ၦऱႚᎠֱڤ(DCM / CCM) . ૉՠ܂࣍DCMֱڤʿႚᎠ
ʳٵᑌऱ౨ၦଖሽੌਢৰऱ. ՠ܂խၲᣂTr,ᙁנԲᲞ᧯˗א֗ሽ୲˖ขس່Օऱჾʿ᧢ᚘᕴ۞ߪ
ʳขس່ՕऱᎭჾ(I2R). ૉՠ܂࣍CCMֱڤʿሽტለՕழʿሽੌՂ֒܅ឈྥຍጟणउՀჾ່՛ʿ܀
ʳຍՕऱ֏ऴੌګ։ࡉऱዩലࠌՕڍᑇᥳढᔆขس堷ࡉ. ࢬאૠழᚨࠌشԫଡމऱֱ
ʳऄʿࠌଖሽੌՕ՛ᔞխʿଖፖऴੌڶயଖऱֺଖֺለᔞխ. ᓳᖞԫଡٽᔞऱᎼʿ༉ױࠩຍ
ʳԫႚᎠֱڤʿኔᕳଃ՛ʿயٽհࠋउ.
5. 堷ࡉᛳழயᚨ.ʳڇᛳ᧢ሉणउՀʿܛᅝᙁԵሽᚘVINmaxۖሉሽੌIominழʿૉIoડྥᏺף,
ʳঞ൳ࠫሽሁᄎمܛףᐈ౧ᓢא༼ࠎᇖךפ. ڼழʿᄎנVINmaxࡉDmaxࠀژʿܛࠌਢԫଡॺൄऱ
ʳழၴʿ᧢ᚘᕴՈᄎנ堷ࡉʿ֧ದሽሁ؈൳. ܌ࣚڼԫᛳኪլߜயᚨʿױᚨشՀ૪ֱऄ:
᧢ᚘᕴਊᙁԵሽᚘ(VINmax),ᐈ౧ᓢ(Dmax)ၞ۩ૠ. ܛࡳ܅ऱӔ˕ՠ܂ᑓڤʿऱᢰ៥ิ
רᑇʿ܀ڼֱऄհរਢࠌ᧢ᚘᕴऱய૾܅.
বय़ᕴ䆒䅵䌘ற.xls 5 / 12 Lisc Oct.
ʳԲΕ᧢ᚘᕴૠੌ࿓ (Transformer Design Procedure)
ᙇࡳCOREޗᔆ BsΕ܅ჾΕ܅ګء
ެࡳCORE Ap = AwAe = (Pt*10
4) / 2ӔB*f *J*Ku
ՠ܂ᑓڤᒔᎁ CCM / DCM
ૠרᑇֺ n = VIN(min) / (Vo+Vf)*[Dmax / (1-Dmax)]
೫ᢰଖሽੌૠጩ ӔIpp = ӔIsp / n ; ӔIsp = ӔISB + ӔIs
ૠጩΕ೫ᢰሽტ
Lp = n
2Ls ; Ls = (Vo + Vf)*(1-Dmax)Ts / ӔISB
বय़ᕴ䆒䅵䌘ற.xls 6 / 12 Lisc Oct.
Lp = n Ls ; Ls = (Vo + Vf)*(1-Dmax)Ts / ӔISB
ӔISB = 2IOB / (1-Dmax)
Ε೫ᢰרᑇૠጩ Np = Lp*ӔIpp / (ӔB*Ae) ; Ns = Np / n
AIR GAPૠ lg = 0.4Ӹ*Lp*Ipp / (ӔB*Ae) = Np
2*Ӵo*Ae / Lp
៥ิᒵஉᒔࡳ dw = Ѕ(4AW / Ӹ)
ዌૠ ጵٽەၦڜΕګءΕ࣐ࠫࢤΕ
ؚᑌ֗ᚌ֏ᓳᖞ ሽࢤ౨Εᖲඳൎ৫.
বय़ᕴ䆒䅵䌘ற.xls 6 / 12 Lisc Oct.
รᆏ Flyback Transformer Design Example
ʳԫ. ૠޡᨏ:
step0 SPEC: VIN , fs , Vo , Io , D, ӯ, Ϧt , CCM&DCM , Loadणउ .
step1 ᙇᖗCOREޗᔆʿᒔࡳϦB.
step2 ᒔࡳCORE SIZEࡉTYPE.
step3 ᒔࡳᜯሽੌ IOBΗ
step4 ࡳרᑇֺӄ,CHECK Dmax.
step5 DCM / CCMᜯழԲڻೡଖሽੌϦISBૠጩ.
step6 ૠጩΕ೫ᢰሽტ(Lp&Ls).
step7 ޣCCMழ೫ᢰଖሽੌϦIsp.
step8 ޣCCMழᢰଖሽੌϦIpp.
step9 ᒔࡳNp, Ns .
step11 ૠጩᒵஉʿ۷ጩᎭ࿗ش.
step12 ۷ጩჾ֗ᄵ֒.
step13 ዌૠ.
step14 SAMPLEࠫ܂,ዌᒔᎁ.
বय़ᕴ䆒䅵䌘ற.xls 7 / 12 Lisc Oct.
step14 SAMPLEࠫ܂,ዌᒔᎁ.
step15 DQ֗ૠᚌ֏.
ʳԲΕૠᜰࠏ ( DESIGN EXAMPLE I )
Step0. ઌᣂ࠷ (Specification)
ࠏ : 60watts ADAPTER POWER (API-9621) MAIN X'FMR
INPUT : 90 ~ 264 Vac 47 ~ 63 HZ ; ሽሁ൷ᒵڕቹ4.
OUTPUT : DC 19V 0 ~ 3.16A ; Vcc = 12 VDC 0.1A
ӯЊ 0.83 ; f s = 70KHZ ; Duty cylce over 50%
Ϧt Љ40o (।૿) @ 60W ; X'FMRૻ 21mm.
CASE Surface Temperature Љ 78к .
Note : Constant Voltage & Current Design (UC3843AD)
Step1. ᙇᖗCOREޗᔆʿᒔࡳϦB
ءࠏADAPTER DESIGN,ط࣍ᇠᣊীᖲཋᑷய࣠ʿਚᙇᖗCOREޗᔆᚨەၦBs,܅ჾ֗
ӴiޗᔆʿٽګءەၦʿڇڼᙇشFerrite Core, אTDK հ PC40 or PC44ᚌᙇ, ኙֺTDK DATA
BOOK, ױव PC44ޗᔆۯയ৫ՀᥳჾPcvࣔ᧩܅࣍PC40 , ່ٿᒔࡳᚨشPC44ޗ.
বय़ᕴ䆒䅵䌘ற.xls 7 / 12 Lisc Oct.
ઌᣂᑇڕՀ:
Ӵi = 2400 ± 25% Pvc = 300KW / m
2 @100KHZ ,100к
Bs = 390mT Br = 60mT @ 100к Tc = 215к
ַX'FMRנᛳኪ堷ࡉயᚨ, ڼࠏא܅Ϧ˕ૠ.
ᙇ ϦB = 60%Bm, ܛϦB = 0.6 * (390 - 60) = 198mT Ѝ0.2 T
Step2 ᒔࡳCore Sizeࡉ Type.
1> ޣcore APאᒔࡳ size
AP= AW*Ae=(Pt*10
4)/(2ӔB*fs*J*Ku)
= [(60/0.83+60)*104]/(2*0.2*70*103*400*0.2) = 0.59cm4
ڤխ Pt = Po /ӯ +Po ႚᎠפ
J : ሽੌയ৫ A / cm2 (300~500)
Ku: ៥ิߓᑇ 0.2 ~ 0.5 .
2> ݮण֗ᒔࡳ.
ݮणط؆ຝ֡՚ʿױٽBOBBIN, EMIޣެࡳʿױەAPଖ֗ݮणޣۖެ
ࡳ, ٽՂ૪ঞ, ᔹTDKհDATA BOOK,ױवRM10, LP32/13, EPC30݁ױየߩՂ૪
ޣʿ܀RM10ࡉEPC30ױش៥ᒵ୲ᗨ݁՛࣍LP32/13,ڇڼᙇشLP32/13 PC44,ࠡᑇڕՀ:
Ae = 70.3 mm2 Aw = 125.3mm2 AL = 2630±25% le = 64.0mm
AP = 0.88 cm4 Ve = 4498mm3 Pt = 164W ( forward )
Step3 ۷ጩᜯሽੌ IOB ( DCM / CCM BOUNDARY )
ءࠏאILሒ80% Iomaxழᜯរૠ᧢ᚘᕴ.
ʳܛ : IOB = 80%*Io(max) = 0.8*3.16 = 2.528 A
Step4 ޣרᑇֺ n
n = [VIN(min) / (Vo + Vf)] * [Dmax / (1-Dmax)] VIN(min) = 90*Ѕ2 - 20 = 107V
= [107 / (19 + 0.6)] *[0.5 / (1- 0.5)]
= 5.5 Ѝ 6
רֺ nʳױ࠷ 5 ࢨ 6,ڇڼ࠷ 6 א૾܅ᥳჾʿ܀Ꭽჾലڶࢬᏺף.
CHECK Dmax
Dmax = n (Vo +Vf) / [VINmin + n (Vo + Vf)]
= 6*(19 + 0.6) /[107 + 6*(19 + 0.6)] = 0.52
বय़ᕴ䆒䅵䌘ற.xls 8 / 12 Lisc Oct.
Step5 ޣCCM / DCMᜯणኪհ೫ᢰଖሽੌӔISB.
ӔISB = 2IOB / (1-Dmax) = 2*2.528 / (1-0.52) = 10.533
Step6 ૠጩڻ్ሽტ Ls ֗ᢰሽტ Lp.
Ls = (Vo + Vf)(1-Dmax) * Ts / ӔISB
= (19+0.6) * (1-0.52) * (1/70000) / 10.533 = 12.76 uH
Lp = n
2 Ls = 62 * 12.76 = 459.4 uH Ѝ 460 uH
ڼሽტଖᜯሽტʿૉᏁሽሁՠ܂࣍CCM,ঞױᏺՕڼଖʿૉᏁՠ܂࣍DCMঞױᔞᅝᓳ՛ڼ
ଖ.
Step7 ޣCCMழ೫ᢰଖሽੌӔIsp.
Io(max) = (2ӔIs + ӔISB) * (1- Dmax) / 2
РӔIs = Io(max) / (1-Dmax) - (ӔISB / 2 )
РӔIsp = ӔISB +ӔIs = Io(max) / (1-Dmax) + (ӔISB / 2 )
= 3.16 / (1-0.52) + 10.533 / 2 = 11.85A
Step8 ޣCCMழᢰଖሽੌӔIpp.
Is
t
Is
t
Ϧ
Ϧ
Ϧ
Ϧ
বय़ᕴ䆒䅵䌘ற.xls 9 / 12 Lisc Oct.
Step8 ޣCCMழᢰଖሽੌӔIpp.
ӔIpp = ӔIcp / n = 11.85 / 6 = 1.975 A
Step9 ᒔࡳNpΕNs .
1> Np Np = Lp * ӔIpp / (ӔB* Ae)
= 460*1.975 / (0.2*70.3) = 64.6 Ts
ڂૠጩ࣠։ᑇרʿەᐞଫΕ೫ᢰ៥ิרᑇ࠷ᖞʿࠌ᧢ᚘᕴԫΕԲڻ៥ิڶઌٵऱڜ
רଖʿਚᓳᖞ Np = 60Ts OR Np = 66Ts
ەၦڇࡳרᑇֺnழʿբڶᎭჾᏺףʿጐၦؓᘝPfeፖPcu,ڇڼ٣ᙇ Np = 60 Ts.
2> Ns Ns = Np / n = 60 / 6 = 10 Ts
3> Nvcc
ޣޢרٗᑇVa Va = (Vo + Vf) / Ns = (19+0.6) / 10 = 1.96 V/Ts
Р Nvcc = (Vcc + Vf) / Va = (12+1) / 1.96 = 6.6 7 Ts
Step10 ૠጩAIR GAP .
lg = Np
2ʽӴo*Ae / Lp = 60
2*4*3.14*10-7*70.3 / 0.46 = 0.69 mm
t
বय़ᕴ䆒䅵䌘ற.xls 9 / 12 Lisc Oct.
Step11 ૠጩᒵஉdw,۷ጩᎭ࿗ڶ.
1> dwp
Awp = Iprms / J Iprms = Po / ӯ / VIN(min) = 60/0.83/107 = 0.676A
Awp = 0.676 / 4 ˝࠷4A / mm
2 or 5A / mm2
= 0.169mm2 ࠷ӥ0.35mm*2
2> dws
Aws = Io / J = 3.16 / 4 = 0.79 mm
2 ӥ1.0 mm
ەၦױ៥ࢤ֗ᓅயᚨʿ७شڍᒵࠀ៥ʿᒵլᚨՕ࣍ӥ0.4, ӥ0.4հAw= 0.126mm
2, ঞ
0.79 / 0.126 = 6.27 6
ܛNs७شӥ0.4 * 6 .
3> dwvcc
Awvcc = Iv / J = 0.1 / 4 = 0.025mm
2 ӥ0.18mm
Ղ૪៥ิᒵஉ݁א4A / mm2հૠጩʿא૾܅Ꭽჾʿૉዌૠழᒵץመʿױᔞᅝᓳᖞ˝հ࠷ଖ.
4> ۷ጩᎭ࿗ڶ.
0.4Aw ЊNp*rpʽӸ(1/2dwp)
2
+ Ns*rsʽӸ(1/2dws)
2
+ Nvcc*rvʽӸ(1/2dwv)
2
বय़ᕴ䆒䅵䌘ற.xls 10 / 12 Lisc Oct.
0.4Aw ЊNp*rpʽӸ(1/2dwp) + Ns*rsʽӸ(1/2dws) + Nvcc*rvʽӸ(1/2dwv)
0.4Aw Њ60*2*3.14*(0.35/2)2+10*6*3.14+(0.4/2)2+7*3.14*(0.18/2)2
Њ 11.54 + 7.54 + 0.178 = 19.26
0.4 * 125.3 = 50.12
50.12 > 19.26 OK
Step12 ۷ጩჾΕᄵ֒.
1> ޣנٺ៥ิհᒵ९.
2> ޣנٺ៥ิհRDCࡉRac @100к
3> ޣٺ៥ิհჾפ
4> ף᜔ٺ៥ิհפჾʻޣנTotalଖ)
ڕ : Np = 60Ts , LP32/13BOBBIN៥ᒵؓ݁ר९ 4.33cm
ঞ lNP = 60*4.33 = 259.8 cm
Ns = 10Ts
ঞ lNS = 10*4.33 = 43.3 cm
বय़ᕴ䆒䅵䌘ற.xls 10 / 12 Lisc Oct.
Nvcc = 7Ts
ঞ lNvc = 7 * 4.33 = 30.31cm
ᒵॴ।ױव : ӥ0.35mm WIRE RDC = 0.00268Ө/cm @ 100к
ӥ0.40mm WIRE RDC = 0.00203 Ө/cm @ 100к
ӥ0.18mm WIRE RDC = 0.0106 Ө/cm @ 100к
R@100к = 1.4*R@20к
ޣ೫ᢰٺሽੌଖ. բवIo = 3.16A.
೫ᢰؓ݁ଖሽੌ : Ispa = Io / (1-Dmax ) = 3.16 / (1- 0.52) = 6.583A
೫ᢰऴੌڶயሽੌ : Isrms = Ѕθ(1-Dmax)*I
2
spaι = Ѕ(1- 0.52)*6.583
2 = 4.56A
೫ᢰٌੌڶயሽੌ : Isac = Ѕ(I
2
srms - Io
2) = Ѕ(4.562-3.162) = 3.29A
ޣᢰٺሽੌଖ :
П Np*Ip = Ns*Is
ᢰؓ݁ଖሽੌ : Ippa = Ispa / n = 6.58 / 6 = 1.097A
ᢰऴੌڶயሽੌ : Iprms = Dmax * Ippa = 1.097 * 0.52 = 0.57A
ᢰٌੌڶயሽੌ : Ipac = ЅD*I
2
ppa = 1.097*Ѕ0.52 = 0.79A
ޣٺ៥ิٌΕऴੌሽॴ.
বय़ᕴ䆒䅵䌘ற.xls 11 /12 Lisc Oct.
ޣٺ៥ิٌΕऴੌሽॴ.
ᢰ : RPDC = ( lNp * 0.00268 ) / 2 = 0.348Ө
Rpac = 1.6RPDC = 0.557Ө
೫ᢰ : RSDC = ( lNS*0.00203 ) /6 = 0.0146Ө
Rsac = 1.6RSDC = 0.0243Ө
Vcc៥ิ : RDC =30.31*0.0106 = 0.321Ө
ૠጩٺ៥ิٌऴੌჾ:
೫ᢰऴੌჾ : PSDC = Io
2RSDC = 3.16
2 * 0.0146 = 0.146W
ٌੌჾ : Psac = I2sac*Rsac = 3.29
2*0.0234 = 0.253W
Total : Ps = 0.146 + 0.253 = 0.399 W
ᢰऴੌჾ : PPDC = Irms
2RPDC = 0.57
2 * 0.348 = 0.113W
ٌੌჾ : Ppac = I
2
pac*Rpac = 0.79
2*0.557 = 0.348W
࢙ฃVcc៥ิჾʻڂࠡሽੌ՛) Total Pp = 0.461W
᜔ऱᒵഎჾ : Pcu = Pc + Pp = 0.399 + 0.461 = 0.86 W
বय़ᕴ䆒䅵䌘ற.xls 11 /12 Lisc Oct.
2> ૠጩᥳჾ PFe
TDK DATA BOOKױवPC44ޗհϦB = 0.2T ழ,Pv = 0.025W / cm2
LP32 / 13հVe = 4.498cm3
PFe = Pv * Ve = 0.025 * 4.498 = 0.112W
3> Ptotal = Pcu + PFe = 0.6 + 0.112 = 0.972 W
4> ۷ጩᄵ֒ʳϦt
ࠉᆖ᧭ֆڤ Ϧt = 23.5PӢ˂ЅAp = 23.5 * 0.972 / Ѕ0.88 = 24.3 к
۷ጩհᄵ֒Ϧ̇՛࣍SPEC,ૠOK.
Step13 ዌૠ
LP32 / 13 BOBBINհ៥ᒵ༏ᐈ 21.8mm.
ەၦڜ၏ᠦհऎ૿၏ᠦլ՛࣍6.4mm.
྇՛LK༼யʿ७شԿࣔएዌʿࠡዌڕՀ :
X'FMRዌ :
Np #1 3.2 / 3.2 2 -- A ӥ0.35 * 2 30 1L
SHI #2 3.2 / 3.2 SHI- 4 2mils * 12 1 3L
Ns #3 3.2 / 3.2 8.9 - 6.7 ӥ0.4 * 6 10 3L
SHI #4 3.2 / 3.2 SHI- 4 2mils * 12 1 1L
বय़ᕴ䆒䅵䌘ற.xls 12 / 12 Lisc Oct.
SHI #4 3.2 / 3.2 SHI- 4 2mils * 12 1 1L
Np #5 3.2 / 3.2 A -- 1 ӥ0.35 * 2 30 1L
Nvcc #6 3.2 / 3.2 3 -- 4 ӥ0.18 7 2L
#7 ຑʳʳࠟ A រ 2L
ข(20888-0001I)ዌ ( L = 550 ~ 580 uH @20KHz 1.0V )
#1 TAPE 1L
Np #2 4.0 / 4.0 2 -- A AWG#27 * 2 30 1L
SHI #3 4.0 / 4.0 SHI- 4 2mils * 12 1 3L
Ns #4 4.0 / 4.0 8.9 - 6.7 AWG#27 * 6 10 3L
SHI #5 4.0 / 4.0 SHI- 4 2mils * 12 1 1L
Np #6 4.0 / 4.0 A -- 1 AWG#27 * 2 30 1L
Nvcc #7 4.0 / 4.0 3 -- 4 AWG#30 7 2L
#8 ຑʳʳࠟ A រ 2L
বय़ᕴ䆒䅵䌘ற.xls 12 / 12 Lisc Oct.বय़ᕴ䆒䅵䌘ற.xls 12 / 12 Lisc Oct.
ֆࠫዪץᒵ। (JIS 0Ε˄Ε˅Ε3)
ᖄ᧯ ᖄᒵ 0ጟ ່Օ ່Օ ૹʳၦ ᖄ᧯
ऴஉ ኲ૿ᗨ ່Օ ່՛ ່Օ ᖄሽॴ ່՛ ່Օ ່՛ ່Օ ᖄሽॴ ऴஉ
ݙګ؆உ ؼᓂদ ݙګ؆உ Ө/ km ؼᓂদ ݙګ؆உ ؼᓂদ ݙګ؆உ Ө/ km kg / km
(mm) (mm2 ) (mm) (mm) (mm) ( 20к ) (mm) (mm) (mm) (mm) ( 20к ) (mm)
0.04 0.0013 0.03 0.056 0.002 0.052 15670 0.01153 0.04
0.05 0.0020 0.04 0.069 0.003 0.064 10240 0.01745 0.05
0.06 0.0028 0.04 0.081 0.003 0.075 6966 0.02595 0.06
0.07 0.0038 0.04 0.091 0.003 0.085 4990 0.035 0.07
0.08 0.0050 0.05 0.103 0.003 0.097 3778 0.046 0.08
0.09 0.0064 0.05 0.113 0.003 0.107 2959 0.058 0.09
0.10 0.0079 0.156 0.009 0.140 2647 0.05 0.125 0.003 0.118 2381 0.0698 0.1
0.11 0.0095 0.166 0.009 0.150 2153 0.05 0.135 0.003 0.128 1957 0.087 0.11
0.12 0.0113 0.180 0.010 0.162 1786 0.06 0.147 0.004 0.139 1636 0.1006 0.12
0.13 0.0133 0.190 0.010 0.172 1505 0.06 0.157 0.004 0.149 1389 0.13
0.14 0.0154 0.200 0.010 0.182 1286 0.06 0.167 0.004 0.159 1193 0.1368 0.14
0.15 0.0177 0.210 0.010 0.192 1111 0.06 0.177 0.004 0.169 1037 0.15
0.16 0.0201 0.222 0.011 0.204 969.5 0.07 0.189 0.005 0.181 908.8 0.1788 0.16
0.17 0.0227 0.232 0.011 0.214 853.5 0.07 0.199 0.005 0.191 803.2 0.17
0.18 0.0254 0.246 0.012 0.226 757.2 0.08 0.211 0.005 0.202 715 0.2263 0.18
0.19 0.0284 0.256 0.012 0.236 676.2 0.08 0.221 0.005 0.212 640.6 0.19
0.20 0.0314 0.266 0.012 0.246 607.6 0.08 0.231 0.005 0.222 577.2 0.2793 0.2
0.21 0.0346 0.276 0.012 0.256 549 0.08 0.241 0.005 0.232 522.8 0.21
0.22 0.0380 0.286 0.012 0.266 498.4 0.08 0.252 0.005 0.243 480.1 0.22
0.23 0.0415 0.298 0.013 .0.278 454.5 0.09 0.264 0.006 0.255 438.6 0.3694 0.23
0.24 0.0452 0.308 0.013 0.288 416.2 0.09 0.274 0.006 0.265 402.2 0.24
0.25 0.0491 0.318 0.013 0.298 382.5 0.09 0.284 0.006 0.275 370.2 0.25
0.26 0.0531 0.330 0.013 0.310 358.4 0.09 0.294 0.006 0.285 341.8 0.472 0.26
0.27 0.0573 0.340 0.013 0.320 331.4 0.09 0.304 0.006 0.295 316.6 0.27
0.28 0.0616 0.350 0.013 0.330 307.3 0.09 0.314 0.006 0.305 294.1 0.28
0.29 0.0661 0.360 0.013 0.340 285.7 0.09 0.324 0.006 0.315 273.9 0.5872 0.29
0.30 0.0707 0.374 0.014 0.352 262.9 0.01 0.337 0.007 0.327 254 0.6435 0.3
0.32 0.0804 0.394 0.014 0.372 230 0.01 0.357 0.007 0.347 222.8 0.7194 0.32
0.35 0.0962 0.424 0.014 0.402 191.2 0.01 0.387 0.007 0.377 185.7 0.8553 0.35
0.37 0.1075 0.446 0.014 0.424 170.6 0.01 0.407 0.007 0.397 165.9 0.37
0.40 0.1257 0.480 0.015 0.456 145.3 0.011 0.439 0.007 0.429 141.7 1.118 0.4
0.45 0.1590 0.532 0.016 0.508 114.2 0.011 0.49 0.007 0.479 112.1 1.414 0.45
0.50 0.1963 0.586 0.017 0.560 91.43 0.012 0.542 0.008 0.531 89.95 1.745 0.5
0.55 0.2376 0.646 0.017 0.620 78.15 0.012 0.592 0.008 0.581 74.18 2.112 0.55
0.60 0.2827 0.698 0.017 0.672 65.26 0.012 0.644 0.008 0.632 62.64 2.513 0.6
0.65 0.3318 0.752 0.018 0.724 55.31 0.012 0.694 53.26 2.95 0.65
0.70 0.3848 0.804 0.019 0.776 47.47 0.013 0.746 45.84 3.421 0.7
0.75 0.4418 0.860 0.020 0.830 41.19 0.014 0.798 39.87 0.75
0.80 0.5027 0.914 0.021 0.882 36.08 0.015 0.852 35.17 4.469 0.8
0.85 0.5675 0.966 0.022 0.934 31.87 0.015 0.904 31.11 0.85
0.90 0.6362 1.020 0.023 0.986 28.35 0.016 0.956 27.71 5.656 0.9
0.95 0.7088 1.072 0.024 1.038 25.38 0.017 1.008 24.84 0.95
1.00 0.7854 1.138 0.025 1.102 23.33 0.017 1.062 22.49 6.982 1
1.10 0.9503 1.242 0.026 1.204 19.17 1.1
1.20 1.1310 1.342 0.026 1.304 16.04 10.06 1.2
1.30 1.3273 1.448 0.027 1.408 13.61 1.3
1.40 1.5394 1.548 0.027 1.508 11.7 13.68 1.4
1.50 1.7671 1.654 0.028 1.612 10.16 1.5
1.60 2.0106 1.754 0.028 1.712 8.906 17.88 1.6
1.70 2.2698 1.856 0.029 1.814 7.781 1.7
1.80 2.5447 1.956 0.029 1.914 7.007 22.63 1.8
1.90 2.8353 2.062 0.030 2.018 6.278 1.9
2.00 3.1416 2.162 0.030 2.118 5.656 27.93 2
2.10 3.4636 2.266 0.031 2.220 5.123 31 2.1
2.20 3.8013 2.368 0.032 2.322 4.662 2.2
2.30 4.1548 2.460 0.032 2.422 4.26 36.94 2.3
2.40 4.5239 2.574 0.033 2.562 3.908 2.4
2.50 4.9087 2.678 0.034 2.682 3.598 2.5
2.60 5.3093 2.778 0.034 2.728 3.324 47.29 2.6
2.70 5.7256 2.878 0.034 2.828 3.079 2.7
2.80 6.1575 2.978 0.034 2.982 2.861 2.8
2.90 6.6052 3.078 0.034 3.028 2.665 58.72 2.9
3.00 7.0686 3.178 0.034 3.128 2.489 64.76 3
3.20 8.0425 3.388 0.034 3.338 2.198 71.49 3.2
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বय़ᕴ䆒䅵䌘ற.xls ॵٙ 1
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