品质因数q推导过程

EXPERTSFORUM2009.01 QQQQQQQQQQQQQ2Q[1]LsRsLpRp1i=Imcos(t+)(1)Ls(2)Rs(3)(4)u=Umcos(t+)(5)Lp(6)Rp(7)QTheconceptionandmeasurementofsoftmagneticferriteQValue621000QQQQPcvQtan 1abEXPERTSFORUM2009.01(8)QQQ(4)(8)Q(9)(10)(11)(12)QQQ[2]QQQ2QQQ HBH=Hmcos(t+)=Re(H4ejt)(13)B=Bmcos(t+-)=Re(B4ejt)(14)HBHH4=HmejH(15)B4=Bmej(-)B(16)BHBH242BH(17)2'B4H4Bmcos0Hm'H4Bmsin0Hm(18)(19)(19)HmEXPERTSFORUM2009.01W=HdB=S(20)H=HmcostB=Bmcos(t-)BHBHB~HS=HmBmsinW=HmBmsin(21)!#$%&QQ(22)QQ(17)cossin'Q(23)'QNC14='-j(24)(25)(26)L'L'jL4=j(L'-jL)=L+jL'(27)(27)LL(27)LRsL'Lsz4=Rs+jLs(28)(29)LpRpLpRpLP=0N2/C1(30)RP=0N2/C1(31)Q(32)(30)(31)(32)(33)[34]QQ(34)(34)e[5](35)lglek=AB/AeAeABEXPERTSFORUM2009.011(34)(36)(36)(36)(37)4s(38)(37)e4e4(38)(39)=(40)(41)(40)(41)Q(33)Qe(42)Q=/(40)(42)(43)(43)QeQL'(43)Qtg/BHPcv!QPcvQQQW(21)PcvPcvPcv=fW=fHmBmsin(44)Hm(44)(45)(46)(45)BH(46)Q'(44)(47)(47)'22(47)(48)(48)''Q[6]EXPERTSFORUM2009.01QQ100kHz'QPcv(48)Q'(47)(49)(49)'/2'1='(47)Q=1(50)(50)BH/4/4tg=Q=1='BmPcvQPcv#$QQQQQQQQQQQ'()*+,#-.Q=Ls/RsRsQ(51)3RL[7]Rc3(51)(52)QQQLQ0QQLQ0eQQL(52)QeQLQ=QeQLQeQQeQeQ4QQQLQQLQQ(53)EXPERTSFORUM2009.01LsRsRLQQeQL44QQQQLQQ[8][9]5rRc5Q(54)QLQcL(9)Rs2(Ls)2LPLsRsLsLpLs(54)LpLsLRcrLsRsLpRprLrRc64Qf4QQL6QQLQc(54)(54)6Qf[10]QQ=Ls/Rs(55)Ls=Le-L0Rs=Re-R0LeReL0R0(55)ReR0LeL0QL0(55)(55)Q=(Le-L0)/(Re-R0)(56)LeL0R0LeRe(56)Q=0/0(55)(56)(56)L05(54)Q66[9]Q(54)(52)(52)QeQLLsRcRLRs=Rc+RL3RsRLQ(53)(54)5rRc(54)EXPERTSFORUM2009.01Q'/012,#-.QQQQQQ7Qcx[11]QcxQxQcx=Qx(1-2LxC0)(61)(60)(61)Lx(60)Lp(61)(60)(61)C0(61)(61)[12](60)(60)(61)(59)(60)(62)(60)(1-2LpC0)1QcxQ2LpC0=1Qcx=0(1-2LpC0)1QcxQQ%&#$'(QBQBmBm0.25mTQBm0.25mTQQQBsNiZn[13]Q7C0LpRpC0LpC0(57)Z4=jLPe(58)(58)LPeLP(59)C0QxQcx(58)Qcx(60)(60)QxQxQ(60)QxEXPERTSFORUM 2009.01f400kHzQAgilent4285A4284ALCRQQQQ~f400kHzQ'400kHz'NiZnQ400kHzQ400kHzMnZnQQ24.8614.987.52MnZn4300220.14Agilent4284ALCR100mvQf11ULILLSRSLPQQ1250kHz(53)400kHz1000kHzQ(62)1LPC0(62)LPe(62)LP111(1)ULB1ILfB11ILfBQfB(2)Qf420kHzQ253C0C0QQQQQ6QQ(3)LPLPe(59)1f/kHzUL/mvIL/mALs/mHRs/LP/mHQQ110.13997.51.6160.1621.61662.8462545.29892.81.6150.2841.6141793521071.16201.81.6130.4411.6132303372089.54445.11.6070.7981.6082533085098.3194.51.6082.61.608194.320510099.5197.431.6259.451.62510811020010046.471.71085.71.71425.125.125010036.271.751208.21.76113.213.2300100.129.761.771384.61.7958.68400100.121.791.795854.01.8605.285.54500100.116.991.81115421.9433.69600100.113.851.80924702.0472.76800100.110.111.72051182.3221.691000103.28.1301.4886102.7551.081.3397