1TFX=X +XjoL0jocZ=R+ j(oL-总阻抗为纯阻,达到最小值R串联谐振时端口电压与电流同相,电流I达到最大值[XcXL=100=Q品质因数*通常R<<X=Xl例如RR谐振时 [VL|=|Vc|=100|Vs电抗元件高电压:电压谐振(电压振荡:谐振电压可以超过此时的电源电压)82CircuitAnalysisbyBeijing JiaotongUniversity
Circuit Analysis by Beijing Jiaotong University Vs & I & jwL VL & VC & jwC 1 VR & R 0 w 0 XL XC X=XL +XC 总阻抗为纯阻,达到最小值R 串联谐振时 端口电压与电流 同相,电流 I 达到最大值 通常 R << XL=|XC | 例如 Q R X R X = =100 = L C 谐振时 VL = VC =100VS 电抗元件高电压:电压谐振 (电压振荡:谐振电压可以超过此时的电源电压) 82 ) 1 j( C Z R L w = + w − 品质因数*
谐振电路BBB=Bc+B,jo110l00B.并联谐振Y=G+j(oCG+iBB与の有关OL当外加的信号频率使得电纳B-0时,称电路发生并联谐振1并联谐振频率0=00VLC85CircuitAnalysisbyBeijing JiaotongUniversity
Circuit Analysis by Beijing Jiaotong University 85 jwC s I & jwL 1 V & G C I & L I & 0 w 0 BC BL B=BC +BL w B 并联谐振 G B L Y G C ) j 1 = + j( − = + w w B与w有关 当外加的信号频率使得电纳B=0时,称电路发生并联谐振 并联谐振频率 LC 1 w =w0 = 谐振电路
BBB-hIc1itevIEjoc0001BLY =G+j(oC.ol总导纳为纯阻,达到最小值G-1/R并联谐振时电路端口电压与电流同相,V达到最大值1通常G<<0C:WL谐振时电抗元件上电流[Ic/ =|IL/=|V/00C:T电流谐振(电流振荡:L和C之间交换流动的电流>>电源电流Circuit Analysis by Beijing Jiaotong University
Circuit Analysis by Beijing Jiaotong University jwC s I & jwL 1 V & G C I & L I & 0 w 0 BC BL B=BC +BL w B 并联谐振时 总导纳为纯阻,达到最小值G=1/R 电路端口电压与电流同相,V达到最大值 通常 L G C 0 0 1 w w = 谐振时电抗元件上电流 S C I G I I = I = V C = 0 S C L w0 w 电流谐振 (电流振荡:L和C之间交换流动的电流>>电源电流 ) 1 j( L Y G C w = + w −
++++++Ehttp://en.wikipedia.org/wiki/LC_circuit#Resonance_effect87CircuitAnalysis byBeijing JiaotongUniversity
Circuit Analysis by Beijing Jiaotong University 87 http://en.wikipedia.org/wiki/LC_circuit#Resonance_effect