Inverter 公式

TurnsRatioN=transformerturnsratio=#ofSecondaryTurns/#ofPrimaryTurnsVsecmax=maximumsecondaryRMSvoltage(lampvoltage)Vdcmin=minimumpowersourceinputvoltageT=numberoftransformersVsecmax=650VVDCmin=16.5VT=1PCSDuty=31%DutyVDC=12.99VFull-bridge,primarywindinginseries:N=Nsecondary/Nprimary=Vsecmax/(VDCmin/T)Nsecondary=1700TurnNprimary=34TurnN=50TurnFull-bridge,primarywindinginparallel:N=Nsecondary/Nprimary=Vsecmax/VDCminNsecondary=1800TurnNprimary=36TurnN=50TurnPush-PullorFull-bridge,primarywindinginseries:N=Nsecondary/Nprimary=Vsecmax/(DutyVDC/T)Nsecondary=1800TurnNprimary=35.98TurnN=50.03TurnPush-PullorFull-bridge,primarywindinginparallel:N=Nsecondary/Nprimary=Vsecmax/DutyVDCNsecondary=2600TurnNprimary=51.97TurnN=50.03TurnHalf-bridge,primarywindinginseries:N=Nsecondary/Nprimary=Vsecmax/(DutyVDC/2T)Nsecondary=2400TurnNprimary=23.99TurnN=100.06TurnHalf-bridge,primarywindinginparallel:N=Nsecondary/Nprimary=Vsecmax/(DutyVDC/2)Nsecondary=1800TurnVDCmin-VDCminDuty-DutyNprimary=17.99TurnN=100.06Turn決定二次側串聯電容CsVlamp=1000VIlamp=7.5mA0.0075fsw=50KHz50000Cs=47PF4.7E-11Vo=1121.61VN=transformerturnsratio=#ofSecondaryTurns/#ofPrimaryTurns一、Vx未知時:V2無V1、R1時:V2=5V1=5R2R2=100V2=0R1R3=43R1=470V1VxVx=1.503497R2=990R3=150R3Vx=2.5Vx=1.085R2=7.6R3=2V2=12二、R1已知，R2、R3未知時:V24.33V1=0~4.95R2-0.62V2=4.95R10.0062Vx=0.62~1.5V1Vx3.45R1=100-1.5R2=141.9R3-0.0345R3=25.51二、R2已知，R1、R3未知時:V20.95V1=0~5R20.95V2=5R10.00405Vx=0.95~1.5V1Vx-3.5R2=10001.5R1=1727R30.0035R3=271.4三、R3已知，R1、R2未知時:V21.53V1=0~5R2-5.47V2=7R1-0.0225Vx=1.53~2.5V1Vx-2.5R3=68-4.5R1=205.9R3-0.03676R2=182.8電阻並聯公式:R1=12ΩR1R2===============9.176471ΩR2=39ΩR1R2R3==========4.785276ΩR3=10ΩR1R2R3R4========3.236515ΩR4=10ΩNormalFrequency=953000/(RCT[KΩ]*CCT[pF])RCT=47KΩCCT=330PF=61.44KHzKickOffFrequency={3812/RCT[KΩ]+26}*1000/{4*CCT[pF]}=81.14KHzOpenLampProtectionTime=0.33*CTIMER[uF]CTIMER=2.2uF=0.73SecBurstModeFrequency=3102/(RLCT[MΩ]*CLCT[nF]RLCT=1MΩCLCT=10nF=310.20HzResonanceFrequency=L＝300mHC＝15pFfo＝75.03KHzOutputCurrentSenseR=ISEN=(outputcurrent*√2/π)*RISEN=1.23VOutputCurrent=14mARsen=195Ω*IfRsen=185.328Ω*OutputCurrent=14.75mAVrms=Vp/1.414Vave=Vp/3.14167.37285267KickOffVoltage(R)=Vsen+VD=(kickoffvoltage*R2)/(R1+R2)Vsen=3VVD=0.6VR1=2.6MΩR2=3.6KΩKickOffVoltage=1480VR2=4.48KΩ12KickOffVoltageVsenVD2111R11R2LCfo2112Rsen12VD1LampReturnISEN2KickOffVoltage=1841VKickOffVoltage(C)=V=(kickoffvoltage*C1)/(C1+C2)Vsen+VD=(V*R2)/(R1+R2)Vsen=3VVD=0.6VC1=5pFC2=0.33nFR1=10KΩR2=1KΩKickOffVoltage=1876V3213R1KickOffVoltageVsenVD2V111C21C13R212KickOffVoltageVsenVD2111R11R212KickOffVoltageVsenVD2111R11R212Rsen12VD1LampReturnISEN23213R1KickOffVoltageVsenVD2V111C21C13R212KickOffVoltageVsenVD2111R11R2NormalFrequency=65*10^4/(RCT[KΩ]*CCT[pF])RCT=20KΩCCT=220pF=147.73KHzKickoffFrequency=65*10^4/((RCT[KΩ]//RRT1)*CCT[pF]))RRT1=150KΩ=167.42KHzOpenLampProtectionTime=(CCTIMR[uF]*(3-(RCTIMR[KΩ)*0.03)))/30RTIMR=220KΩCTIMR=2.2uF=-0.264SecBurstModeFrequency=1496/CLCT[nF]CLCT=4.7nF=318.30HzResonanceFrequency=L＝300mHC＝15pFｆo＝75.03KHzTransformerTurnRatio=LampVoltage=560VrmsInputVoltage=12VDuty=0.6%/100Q=0.85N=73.43OutputCurrentSenseR=FB=(outputcurrent*√2/π)*RFB=1.25VOutputCurrent=6mARsen=463Ω*IfRsen=463Ω*OutputCurrent=6.00mAVrms=Vp/1.414Vave=Vp/3.141612312RsenLampReturnFB1VD2LCfo21KickOffVoltage(R)=OVP+VD=(kickoffvoltage*R2*√2)/(R1+R2)OVP=2VVD=0.5VR1=3MΩR2=3.3KΩKickOffVoltage=1609VR2=3.3KΩKickOffVoltage=1609VKickOffVoltage(C)=OVP+VD=(kickoffvoltage*C1*2√2)/(C1+C2)OVP=2VVD=0.4VC1=22pFC2=33nFKickOffVoltage=1274VC2=33.0nFKickOffVoltage=1274V1R11R212VD121M210n222KickOffVoltageOVP1112VD121M210n222KickOffVoltageOVP111C21C112312RsenLampReturnFB1VD212312RsenLampReturnFB1VD21R11R212VD121M210n222KickOffVoltageOVP1112VD121M210n222KickOffVoltageOVP111C21C112312RsenLampReturnFB1VD2NormalFrequency=1/(RCT[KΩ]*CCT[pF])*1000000/2RCT=2.2KΩCCT=4700PF=48.36KHzKickOffFrequency=1/{(RCT[KΩ]//R1[KΩ])*CCT[pF]}*1000000/2R1=3.9KΩ=75.63KHzOpenLampProtectionTime=0.33*CTIMER[uF]CTIMER=4.7uF=1.55SecResonanceFrequency=L＝300mHC＝15pFfo＝75.03KHzOutputCurrentSenseR=ISEN=(outputcurrent*√2/π)*RISEN=1.25VOutputCurrent=6.5mARsen=427Ω*IfRsen=463Ω*OutputCurrent=6.00mAVrms=Vp/1.414Vave=Vp/3.1416LCfo2112Rsen12VD1LampReturnISEN212Rsen12VD1LampReturnISEN2NormalFrequency=1/(RCT[KΩ]*CCT[pF])RCT=12KΩCCT=1000PFSingle=83.33KHzPushPull=41.67KHzKickOffFrequency=1/{(RCT[KΩ]//R1)*CCT[pF]}R19.17KΩSingle=192.38KHzPushPull=96.19KHzOutputCurrentSenseR=ISEN=(outputcurrent*√2/π)*RISEN=2.5VOutputCurrent=7mARsen=793Ω*IfRsen=1000Ω*OutputCurrent=5.55mAVrms=Vp/1.414Vave=Vp/3.141612Rsen12VD1LampReturnISEN212Rsen12VD1LampReturnISEN2BallastCapacitor算法Ballast電容未知時:燈管電流=7mA操作頻率=60KHz燈管工作電壓=650VrmsK=21.5~2Ballast應該選用=14.28pF變壓器匝數比選用LampStriking&Transformer:KickOff所需電壓=1800Vrms輸入電壓=12V匝數比選用=67.52共振電容選用ResonantCapacitor:初級感量為二個繞組…中間短路，跨二端所量得之感量匝數比並非理想變壓器之匝數比…所以得用實驗求得燈管頻率=50KHz初級感量32uH串聯架構匝數比要除2後再帶入公式初級感量29uH匝數比=90匝數比=80Ballast=22pFBallast=22pF共振電容=0.15uF求共振電容=0.14uF求燈管頻率=49.11066944KHzBuckInductor計算次級電壓=1220Vrms電流連波=100mAVDD(max)=13.2Vton=2.8us匝數比=90Inductor用=198.74uHVBUCK,