3.1电阻、电感、电容元件一、电阻元件第3章电路的暂态分析Rui+iRuRui二、电感元件dtdiLuiN+uNi磁通磁链ui+L忽略导线电阻为纯电感i大,磁场强若非铁心线圈,电感)(HiLii变变产生感应电动势(电磁感应现象)ui+LdtdiLu直流时,u=0,电感相当于短路(磁场能量)221LiW服从电磁感应定律不服从欧姆定律L上电流不能突变三、电容元件电容uqCui+C-q+qdtduCdtCuddtdqi)(直流时,i=0,电容相当于开路)(212电场能量CuWC上电压不能突变222121)(CuLiiudtduCidtdiLuiRuIRUCLR储能储能耗能能量参考方向相同、交流开路短路直流+RC+UUC程过渡过程又称为暂态过(另一种稳态)(一种稳态)过渡过程0UCUCU电路的连接方式电路的元件参数电路的输入(幅值)换路3.2储能元件和换路定则一、换路定则均可突变、不能突变不能突变非储能元件RRCLCLiuuiCuWLiWRCL212122换路后的瞬间换路前瞬间换路瞬间:0:0:0ttt只适用于换路瞬间)0()0()0()0(00CCLLuuiitt二、初始值的确定确定S闭合前后瞬间各电压、电流的值。设S闭合前电路已处于稳态10mAt=0iSiRiLiC2KΩ1KΩ2KΩLC+++uRuCuLS)0()0(01CLuit、的电路计算、根据mAiuVuiimAiVuRLRCSLC5)0(0)0(10)0(0)0(0)0(5)0(10)0(10mAiSiRiC2KΩ1KΩ2KΩ+++uRuCuLSt=0iL)0()0(2CLui、、根据换路定则求得值其他电压、电流的初始计算、的电路及、根据)0()0(03CLuitVuucc10)0()0(mAiiLL5)0()0(10mAiSiRiLiC2KΩ1KΩ2KΩLC+++uRuCuLSt=0+mAiiiiVuuimAiuiuiLCRSLLLCCCRR15)0()0()0(10)0(10)0(0)0(2)0(10)0(0)0(1)0(0)0()0(15001010-10-500105100050ttiuiuiuiSRRCCLL)0()0(0CLiit、时,只需求Ui1iLiC+++RuCuLR3R2R1it=0U=8Vt=0i1iLiC4Ω4Ω4ΩLC+++RuCuLSR3R2R12Ωi例:换路前电路已处于稳态,求各电压、电流的初始值VRiuARRRRRRUiLCL414)0()0(1444228//)0(][331131:解AiiVuuLLCC1)0()0(4)0()0(Ui1iLiCLC+++RuCuLR3R2R1it=0+VRiRiUuAiAiiiiiuRiiRUiiiiLLCCCCCLC3/4)0()0(03/4)0(3/1)0(4)0(4)0(281)0()0()0()0()0()0()0()0(0)0(321...