电路10章含有耦合电感

1、静电场第10章 含有耦合电感的电路返 回下 页静电场10.1 互感磁耦合现象施感电流、右螺旋法则自感磁通链与互感磁通链（：）11 22 L1i1 L2i212 M12i2 21 M21i1 M21 MM121 11 12 L1i1 Mi2 2 21 22 Mi1 L2i2增助、削弱、同名端静电场L1N1LN22i2i122112 u22 1u1 L i Mi11 12 Mi L i212 21i1Mi2L1L2静电场 d1dt d 2dtdi1 M di2 Lu11dtdtdi2 dt M di1dtLu22U1 jL1I1 jMI2U2 jMI1 +jL2 I2ZM jMM静电场jMI1jM

2、I2jLjL21I2I1121U2U121211 21ML1L2def 1k 22静电场10.2 含有耦合电感电路的计算L1 MR2R1L1R1ii uuu1R2Mu2u2LL M22静电场di M dtdi M dtdi ) Ri (L M ) diu Ri (L11111dtdtdi ) R i (L M ) diu R i (L22222dtdtL 2M ) diu u u (R R )i (L121212dtU1 R1 j(L1 M )IU2 R2 j(L2 M ) IU U1 U2 R1 R2 j(L1 L2 2M ) I静电场U(R1 R2 ) j(L1I L2 2M )Z1 R1

3、 j(L1 M )Z2 R2 j(L2 M )Z (R1 R2 ) j(L1 L2容性 2M )Z1 R1 j(L1 M )Z2 R2 j(L2 M )Z (R1 R2 ) j(L1 L2 2M )L1 L2 2M 0静电场jMI3I2jL2I1jL1URR12 jL1 )I1 jMI2U (R1U jMI1 (R2 jL2 )I2静电场jMI3I2jL2I1jL1URR12 jL1 )I1 jMI2U (R1U jMI1 (R2 jL2 )I2静电场jMI3II21j(L1 M )j(L M )2UR1R2静电场 12.5M 8R1 3 7.5R2 5XL2XL1静电场 12.5M 8R1

4、3 7.5R2 5XL2XL1ZM1 ZM Y2Z2I U Z Z2ZUI1Z 2Z Z 2 Y12MUZ Z3Z Z Z 212M1M2Z Z1 ZY12MI2 U 1MM1Uj8Z Z Z 2Z 2 YZI312M2M1II21S UI*-j0.5j4.511US UI*3522静电场jMjL1jL2R1Ia1L L 10I12M 5R1 R2 6R2ZLUSU 12VSj(L1 M )j(L2M )IR11SjMaUR2静电场10.3 耦合电感的功率R1L1idi1 dtdi2 dtdi2 dtRi LM uu1 1 1SR2Mdi1 dtSR iL 0ML2 222didiRi 2i

5、Li M u i121 1 111S 1dtdtdi1 dtdi2 dtR ii L 02i M22 222* 1MI I +(RjL )IS0 j*222122静电场jMII *21jMI I*12静电场10.4 变压器原理jM2I2I11U1RLjL1jL2R2jXLR121没静电场U1 (R1 jL1 )I1 jMI20 jMI1 (R2 jL2 RLjXL )I2I1 R1 jL1 R2 RL j(L21Z11Z22XL )U1Z11ZM jMM ) Y2(22M ) YZ (211221静电场ZeqI22U1 (R1 jL1 )I1U2 jMI1Uoc = MY11U1RLjMY11U1jXL2=R jL (M ) Y2Zeq2211静电场u1=100cos(10t)L2 =1.2HZL =3L1 =5HM =2HZ22 =3+12jZM =20jZ11 =50j20U1 =50I) Y22115020I=2M ) YZ (21122静电场10.5 理想变压器i1i21n :12u2ii12121 iN1N21nu1uuu122n12121空心变压器本身无损耗；耦合因数等于1；M L1L2L1自