2019/8/4電力品質污染因素電力諧波電壓閃爍三相不平衡電磁場電壓突波與電流突波電壓驟降與電壓昇與電力中斷2019/8/4較常發生污染的負載可歸類電弧爐:(a)交流電弧爐(b)直流電弧爐(c)精煉爐軋鋼馬達設備:(a)閘流體轉換器(b)DC馬達(c)AC變頻馬達高週波感應爐(HFinductionfurnaces)其他非線性負載(1)焊接機(2)打鐵錘和撞槌(3)整流設備(4)螢光燈設備(5)變壓器激磁電流2019/8/4(1)電力諧波(Harmonics)00.020.04-1-0.500.51AMPLITUDE1thorder00.020.04-2-1012AMPLITUDE1th3th&5thorder00.020.04-2-1012TIME(SEC)AMPLITUDE1th4th$7thorder00.020.04-2-1012TIME(SEC)AMPLITUDE1th,2th&3th1th,2th&4th2019/8/4間級諧波(61~119Hz)間級諧波(121~179Hz)間級諧波(181~239Hz)整數級諧波(2,3,4,5,7,…...級)次級級諧波(1~59Hz)偶數級諧波(2,4,6,8,10,…..級)奇數級諧波(3,5,7,9,11,.....級)三倍頻諧波(3,6,9,12,15,...級)2級(120Hz)60Hz61Hz3級(180Hz)頻率(Hz)2019/8/4特性諧波與非特性諧波之別6步脈衝--特性諧波為5,7,11,13,17,19,..6k1.非特性諧波為2,3,4,---.12步脈衝--特性諧波為11,13,23,25,...12k1.非特性諧波為2,3,4,5,7,17,19,..18步脈衝--特性諧波為17,19,35,37,...18k1.非特性諧波為..5,7,11,13,23,25,..2019/8/4正、負、零序諧波之區別n:1234…...N正序諧波:-4級7級10級3n+1負序諧波:2級5級8級11級3n-1零序諧波:3級6級9級12級3n請問25級諧波為?序諧波25/3=8餘1----正序諧波請問41級諧波為?序諧波41/3=13餘2----負序諧波00.10.20.30.40.5-2-1012TIME(SEC)AMPLITUDE10HzMODULATION,TIMEDOMIANWITHA=0.301002003004005000100020003000諧波與電壓閃爍之區別2019/8/4諧波頻率分類之目的不同種類之負載產生不同之諧波頻率?不同之諧波頻率造成不同之事故?不同之諧波頻率採用不同之改善方法?2019/8/4D接變壓器有抑制三倍頻諧波之作用IA3n=IB3n=IC3n=0Ia(h)=3,5,7,9,11,13,15,17,19,...單相整流器含有三倍頻諧波IA(h)=5,7,11,13,17,19,Ib3n6-pulseconverterabcDC24VIa3nIc3nGAI3n+++BCI3nI3n正序諧波(Positive-sequenceharmonics):級數為(3n+1)之整數諧波,註:n=1,2,3,.....。負序諧(Negative-sequenceharmonics):級數為(3n-1)之整數諧波。零序諧波(Zero-sequenceharmonics):級數為(3n)之整數諧波。諧波相序2019/8/4諧波相序之推導(順時鐘正相序,逆時鐘負(逆)相序)Va1Vc1Vb1Va2Vb2Vc2Va3負相序(逆)Vc3Vb3零相序正相序(順)2019/8/4正、負、零序諧波之排列n:1234…...N正序諧波:4級7級10級13級3n+1負序諧波:2級5級8級11級3n-1零序諧波:3級6級9級12級3n請問25級諧波為?序諧波25/3=8餘1----正序諧波請問41級諧波為?序諧波41/3=13餘2----負序諧波2019/8/4區分諧波相序之目的零序諧波電流可能造成地電位昇零序諧波電流可能造成電腦螢光幕扭曲零序諧波電流可能造成保護設備誤動作單相整流器含有零序諧波(三倍頻諧波)負序諧波電流可能造成三相不平衡問題相序諧波潮流分析(正、負、零序網路)其他2019/8/4諧波重點提示一、諧波是什麼(諧波之定義)?二、諧波之產生(諧波來源)?三、諧波之破壞(諧波之影響)?四、諧波之濾除(諧波之改善)?串聯共振與並聯共振?與共振理論諧波四大概論2019/8/4串聯共振諧波特性LCFILTERxfl()xfc()BUSKUTILITYxfs()HARMONICSOURCEIhxfc()BUSKUTILITYxfs()HARMONICSOURCEIhCAPACITORBANKxft1()BusK驅動點阻抗值02004006008001000120014001600051015202530HzIMPEDANCE(ohm)吸收臨近用戶諧波電流之簡圖HARMONICSOURCEIhINDUCTIVELOADS220VBUSxft()TrCAPACITORBANKxfc2()INDUCTIVELOADS11.4kVBUSLOADSUTILITYxfl()LINEIMPEDANCECAPACITORBANKxfc1()PLANTAPLANTB單一電容負載之簡單電力圖BUSKSTATICCAPACITORIhZfs()xcUTILITYHARMONICSOURCE原系統02004006008001000120014001600050100HzGv(f)020040060080010001200140016000200400600HzlZeq'l2019/8/4各級諧波大小頻譜HARMONICSRECORDINGInputchannels:3-phasevoltages3-phasecurrentsOutputrecorddata:Harmonics,angles,andpowers(upto63orders),andTHD2019/8/4諧波改善方法採用高脈衝整流方式(如12-pulse或24-pulse或IGBT)裝置被動式濾波器(PassiveFilters)變壓器Y-△與Y-Y連接交互使用主動式濾波器(ActiveFilters)2019/8/4充電器充電器充電器I1I2I3TPC單相110VBUS單相200VA單相200VA單相200VA單相整流器-電動機車充電器例2019/8/4-20-100102030013263952657891104117130143time(10msec/point)安培(A)I3(三台)I2(二台)I1(一台)三台充電器之電流時域波形2019/8/4單相整流器-電動機車充電器例-200-10001002000timeV(伏特)-30-20-100102030I(安培)V(110V)I(三台)機車充電器三台整流器200VA3I單相110VBUS電壓檢出電流檢出7.513307002040608025811141720232629諧波電流(%)1.545.1024625811141720232629諧波級數諧波電壓(%)823W-500501001234567諧波級數W&VArP(W)Q(Var)2019/8/4D-DD-YFreq.5,7,11,13,..Freq.5,7,11,13,..12步脈衝之特性諧波IL1(t)tD-DIL1(t)D-YtIL2(t)IL2(t)IL(t)11,13,..IL(t)2019/8/4脈波數6步脈波12步脈波Y-D交流側電流波形6步脈波整流器基本架構IA12Y-YIA2IA1IA12D-DIA2IA1D-Y或Y-Y或D-DIA1IA2Y-D或D-Y諧波級數與產生量IA1t3IdcVdc+_3Idch=6k1hIhI1h=6k1hIhI1h=12k1hIhI1k=1,2,3,..IA2t363/2Idc3/IdcIA12363/2Idc3/IdcdcIt2019/8/42019/8/4單相充電器各級諧波電壓失真分佈圖2019/8/482MVA33kV/650V20.52%15MVArCO-GENERATORS385MVAOTHERLOADS180MVA100MVA161kV/22kV10.5%M3UTILITY161kVBUS33kVBUS2thFILTER64.2mH(25%)33kVBUS3thFILTER40.56mH(16.5%)4thFILTER13.55mH(8.6%)9thFILTER4.62mH(1.68%)M4M2SHORTCIRCUITCAPACITY:5784~3280MVAPOWERFACTOR:0.98SYSTEMQUALITYFACTOR:30M1DD/10MVAr15MVAr8MVArY/D+-350V+-350V+-700V直流電弧爐6-Pulse6-Pulse12-Pulse2th3th4th9th2019/8/4-120012001336597msecA57111317THD22.915.010.28.44.331.0035諧波級數%-120012001336597msecA19.310.47.04.02.623.6035諧波級數%57111317THD-30301733mseckV-25002500AVanIa1.10.61.61.40.02.5035257111317THD諧波級數%12-pulse整流器之諧波潮流實例-30301733mseckV-25002500AVanIa0.70.34.53.10.15.603557111317THD%16.4MW16MVAr-3030諧波級數kW&kVArPa(kW)Qa(kVAr)1113-30301733mseckV-500500AVan9th-10.9kW-2.5MVAr-3030諧波級數kW&kVArPQ111333kVBUS#1REC.6-pulseM3#2REC.6-pulse9thFILTER8MVAr2th,3th,4th濾波器(合計40MVAr)與其他負載12-pulseDC-EAF85噸..爐變容量82MVAM4M1M2M52019/8/418步脈衝整流之特性32.8MVA22kV/230V7.82%#3RECTIFIER30.4MVAPF:0.81MOTORLOADS3MVA22kVBUS32.8MVA22kV/230V7.73%32.8MVA22kV/230V7.8%#1RECTIFIER30.4MVAPF:0.81#2RECTIFIER30.4MVAPF:0.81M4D100/YD100/YYY/2019/8/4三個6步脈衝之特性諧波-1500-1000-50005001000150006.5113.0219.5326.0432.5539.0645.57TIME(msec)CURRENT(A)#1REC.#2REC.#3REC.2019/8/4三台整流變壓器與總電流諧波成份比較(A)456781011121317193537M4#1REC.#2REC.#3REC.020406080100120140HARMONICCURRENT(A)HARMONICORDER2019/8/418步脈衝之特性諧波-4000-3000-2000-10000100020003000400006.5113.0219.5326.0432.5539.0645.57TIME(msec)CURRENT(A)2019/8/4TR2228100/125/150MVA161kV/33kV10.5%UTILITY33kV27.4MVAr33kV22.4MVAr5thFILTER6%5thFILTER6%SHORTCIRCUITCAPACITY:5784~3280MVAPOWERFACTOR:0.98SYSTEMQUALITYFACTOR:3033kVBUS57