电路课程：第十三章 习题解答

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)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-Xiang 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 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)31431410Z 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 LCLL12111HLC221111H66.7mH11516LCL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) 13-11120.52sin(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(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*111(5)3 Re(5)(5)AAPUI 3 10 0.619 cos(68.2)6.897W 10 0615j 0.61968.2 A0NI0.619 51.8 ABI 0.619 171.8 ACI 中线对反序对称谐波工作无影响。中线对反序对称谐波工作无影响。