电路课程：第十三章 习题解答

1、殷瑞祥教授殷瑞祥教授 Professor Professor RuiRui-Xiang Yin-Xiang Yin（PhD) PhD) 电路电路课程讲义课程讲义第十三章第十三章 习题解答习题解答电路电路课程讲义课程讲义 Professor Rui-Xiang Yin(PhD) 13-1( )cos(4 )sin(6 )f tttcos(2(2 )cos(3(2 )90 )tt2( )( )2()()33mmmTTf tUtUtUt(1)(2a)22 2 2 33jjj0031( ) edededTTTnnntttmmTTTnTUUFf ttttTTT223(1)2njmUej n2232(1)

2、nnjjmnnUA eFejn电路电路课程讲义课程讲义 Professor Rui-Xiang Yin(PhD) 13-1( )mUf ttT(2b)/22 2 jj0/211( ) ededTTnnttmTTnTUFf ttttTTTcos()2mUjnn2cos()njmnnUA eFjnn电路电路课程讲义课程讲义 Professor Rui-Xiang Yin(PhD) 13-1( )( )f tt(2c)/2/22 2 jj/2/211( ) ed( ) edTTnnttTTnTTFf ttttTT1T22njnnA eFT电路电路课程讲义课程讲义 Professor Rui-Xian

3、g Yin(PhD) 13-202( )nTjjn tnf t edtA eT00()00022()( )nTTjntjn tjjn tnf tt edtfedeA eTT*000222()( )( )nTTTjjn tjnjnnft edtfedfedA eTTT *000222()( )( )nTTTjjn tjnjnnft edtfedfedA eTTT()20022()( )2nTTTjnjjn tjnnTf tedtfedeA eTT 0002( )22( )( )nTTjnjjn tTndf tdeedtf tfdjn A eTdtTTd电路电路课程讲义课程讲义 Professor

4、 Rui-Xiang Yin(PhD) 13-5()()()|()()()LCLCLCrjXRjXZrjXRjXrRj XX()()()()LCLCLCrRX Xj RXrXrRj XX()()()()LCLCLCrRX XRXrXrRXX令令为与频率无关的实数。为与频率无关的实数。()()()()LCLrrRX XRCRrRrR()()()()LCLCLCLCrXXRXrXRRXXXX20.25mFLCR4Rr 4ZR 100.81SSZUUUZ10( )0.8( )Sutut电路电路课程讲义课程讲义 Professor Rui-Xiang Yin(PhD) 13-71100( 314)31

5、431410Z jRjLjC10R 21314LC 315030( 942)9429421.755Z jRjLjC2311503010942 (1)10942 (1)9 31491.755jLjLLC35010cos( 30)1.7553150942 (1)sin( 30)91.755L399.4531.86mHL 318.34 HC22221310()(101.755 )515.4W22mmRPII电路电路课程讲义课程讲义 Professor Rui-Xiang Yin(PhD) 13-8111LC112121211114()LLCL LCLL12111HLC221111H66.7mH115

6、16LCL电路电路课程讲义课程讲义 Professor Rui-Xiang Yin(PhD) 13-111、直流、直流121.5V0SSUI1()0.5V3RSuDCU2、 1=1.5rad/s11211()0V()2sinASSuit22 0 ASI 121211 45 V32RSjUIj 11()2sin(45 ) VRutt3、 2=2rad/s12222()5 2sin(90 )V()0SSuti15 90 VSU 1211 36.87 V32RSUUj 22()2sin(36.87 ) VRutt电路电路课程讲义课程讲义 Professor Rui-Xiang Yin(PhD) 13

7、-11120.52sin(45 )2sin(36.87 ) Vtt 12( )()()()RRRRutuDCutut1122()()()cosSuSRSRPU IDCUI 1.5 0.55 1 cos(9036.87 ) 3.75W 12( )0.52sin(45 )2sin(36.87 ) ARittt 电路电路课程讲义课程讲义 Professor Rui-Xiang Yin(PhD) 13-121、基波：对称、基波：对称Y-Y三相电路三相电路215 032.0526.57 A63AIj 32.05146.57 ABI 32.05 93.43 ACI 0NI1()3 215 32.05cos

8、(26.57 )P 18489.82W中线对基波工作无影响。中线对基波工作无影响。电路电路课程讲义课程讲义 Professor Rui-Xiang Yin(PhD) 13-122、三次谐波：零序谐波、三次谐波：零序谐波111(3)(3)3(3)AABClUIIIZZ*111(3)3 Re(3)(3)AAPUI 3 30 1.054 cos(180108.43 )29.99W 30 0(69)3(16)jj 1.054 108.43 A()3.16271.57 ANABCIIII 当中线断开后，由于三个零序谐波相等，且都反串在回路当中线断开后，由于三个零序谐波相等，且都反串在回路中互相抵消，因此无中线时没有零序谐波电流。中互相抵消，因此无中线时没有零序谐波电流。电路电路课程讲义课程讲义 Professor Rui-Xiang Yin(PhD) 13-123、五五次谐波：反序谐波次谐波：反序谐波11(5)(5)AAUIZ*11