电力电子技术石新春课后答案19章

2012- 8- 2126 1 UAK0 UGK0 2 IAIL 31- 32Im 100A Id 1- 323 a 0 11 sin() ()20.3183 22 m dammm I IIt dtII 2 2 00 11 (sin)()(1 cos2) () 2222 mm am II IItdtt dt 100A157A2 157314( ) m IA 100 m da I IA b 0 12 sin() ()0.6366 dbmmm IIt dtII 2 2 00 11 (sin)()(1 cos2) () 2 2 mm bm II IItdtt dt 100A157A2 157222( ) m IA 22222222 0000 1111 2222 dammmdammm () ()20() ()20 2222 () ()() ()() ()IIt dtIIIIt dtII 1111 () ()20() ()20() () 1111 () ()20() ()20() ()() ()() ()() ()() ()() ()() () 2222 () ()() ()() ()() ()() ()() ()() () 11111111 sin)()(sin)()( 0000 sin)()(sin)()( 000000 ( ( 000000 ( ( 000000 (sin(sin( 1111 2 2 2 2 (sin)()(sin)()()()( 2 2 1111 2 2 1111 2 2 sin)()(sin)()()()( 2 2 0000 (sinsinsin)()(sin)()( 3 dammmdammm 20.318320.3183 I IIt dtIIIIt dtII20.318320.3183202020.318320.3183 I 20202020202020202020 2 11 )()()()( 22222222 0000 )()()()( 0000 IIII 2 1111 2 )()( 11 )()( 1111 )()( 11111111 222222222222 00 11 )()()()( 0000 )()()()( 0000 1111 )()()()()()()()( 11 )()()()()()( 1111111111111111111111 00 )()( 1212 2012- 8- 2226 0.6366141.33( ) dbm IIA c 3 13 sin() ()0.4775 2 dcmmm IIt dtII 2 2 33 1113 (sin)()(1 cos2) ()()0.6342 238 m cmmm I IItdtt dtII 100A157A 157 247.56( ) 0.6342 m IA 0.4775118.21( ) dcm IIA d 3 311 3 sin() ()0.2387 2224 m ddmmm I IIt dtII 2 2 33 1113 (sin)()(1 cos2) ()()0.4485 222238 m dmm I IItdtt dtI 100A157A 157 350.06( ) 0.4485 m IA 0.238783.56( ) ddm IIA e 4 0 11 ()0.125 224 demmm II dtII 2 4 0 1 ()0.3536 2 emm IIdtI 100A157A 157 444.00( ) 0.3536 m IA 0.12555.5( ) dem IIA f 4 0 11 ()0.25 4 dfmmm II dtII 2 4 0 1 ()0.5 fmm IIdtI 100A157A 157 314( ) 0.5 m IA 0.25 31478.5( ) df IA 4GTO GTOPNPNP1N1P2N1P2N2V1V2 12121 121121.15GTO121.05 CGTO 2V21V1 GTO 25 31478.5( )5( )25 31478.5( ).5( )( ) PNPN 444.00( )00( )444.00( )00( ) 157A157A PNPNPNPN 2 2012- 8- 2326 5GTOGTR GTRGTO GTO GTR GTR 6GTRGTOMOSFETIGBT GTR 2 GTO MOSFET 2 IGBT MOSFET GTO 2012- 8- 2426 10100V 30 V20A220V min30 1I2 2 360udidi2 30 1.5 20 d d U R I 2 2 (1cos) d U U 100V min30 2 100 119( ) 2 1.866 UV 1 222 2 2sin1sin2sin2 ()79.33 22 UtUU Id t RRR min30 2max sin 63 79.3378.18( ) 2 IA 2 2max 2 78.18 55.28( ) 22 2168.29( ) VT VT I IA UUV 31683500V(55.28/1.57)3100A 3 t t t0 0 0 i2 ud id /3 /3 22- 74430ud idiVT1iVD4 0 0 i id d /3/3 500V /3 2012- 8- 2526 a) T a b R L 0 b) u2 i2 ud id u2 0 ud id Id 0 0 0 0 0 i2 Id Id Id Id Id t t t t t t t iVT1 iVD4 iVT2 iVD3 iVD c) d) e) f) g) d22 1cos 0.90.84 2 UUU d22 d 1cos 0.90.84 2 UUU I RRR 3U2100VR2LE60V 30 1udidi2 2UdIdI2 UdIdI2 2 2 3 0.9cos0.9 10077.94( ) 2 77.9460 8.97( ) 2 8.97( ) d d d d UUV UE IA R IIA 100V100V 2 U Ud dU U 9 100779 10077 2 2 9 10077 R R2 2 dUId dI I IdI 3 3 9 100779 100779 10077 3 3 9 100779 100779 100779 10077 2012- 8- 2626 T b R L a) u1u2 i2 ud id u2 0 t 0 t 0 t ud id i2 t Id Id Id 0 0 E 4R=4 U2=220V= /3 (1) (2) (3) 12 2 1cos 0.90.9 220 0.75148.5( ) 2 148.5 37.125( ) 4 d d d UUV U IA R 2 2 3 137.125 ()21.43( ) 2 33 d VTd I IIdtA 3 2 3 0 1 ()21.43( ) 3 d Dd I II dtA 5a b 30udiVT1uVT1 ab180 ( )( )( ) ()() d VTd I I IIdtAIIdtAIIdtAIIdtAIIdtA()()() d I ()()()IIdtAIIdtAIIdtA()()()()() 2 II dtAII dtA 2 ()()II dtA R R=4 ( ) 37.125125 2121 333333 IIdtAIIdtA 37.125125 21.4321IIdtAIIdtAIIdtA ()21()() 3 3 d I I II dtAII dtA()21.()21 d I I ()()()() 2012- 8- 2726 a b c T R L u2 ud id VT1 VT2 VT3 ud ia uaubuc 0t a b c T R L u2 ud id VT1 VT2 VT3 30udiVT1uVT1 ud iVT1 id uca 0t 0 0 t t 0t uVT1 uba uaubuc uaubuc 300 6/3R=2U2=220VId 2 2 1.17cos1.17220 0.5128.7( ) d UUV 128.7 64.35( ) 2 d d U IA R 2 2 3 0 1 ()0.57737.13( ) 2 3 d VTdd I IIdtIA 2247.3050( ) 1.57 VT I A 2 6210771200( )UV cos1.17220 0cos1.17220 0cos1.17220 0cos1.17220 0cos17220 0 t / 17220 0.5128.717220 0.512817220 0.512817220 0.51285128 35( )( )35( )( )( ) 2012- 8- 2826 7U2100VR5L60 1udidiVT1 2UdIdIdVT IVT 3 4 1 u2 t t t t0 = p/3 ud uabuacubcubaucaucbuabuac 0 0 0 id iVT1 uaubuc ucb 2 2 2.34cos2.34 100 0.5117( ) d UUV 117 23.4( ) 5 d d U IA R 7.8( ) 3 d dVT I IA 13.51( ) 3 d VT I IA 3 1 1 cos0.955cos0.955*0.50.4775 I I 42 2 626 100 2489.90500( )UV 13.51 2217.2120( ) 1.571.57 VT I A 8R5LU2220VXB=0.3Ud IdIVDI2udiVD1i2 0 ( )( ) t t 1 I1 I I 1 1 coscos 1 I1 I I coscos 2012- 8- 2926 22 6 0.3 2.34cos2.34cos 22 5 b ddd dd d mX UUIUI UU I R 2 486.90( ) 97.38( ) d d UV IA 97.38 32.46( ) 33 d VD I IA 2 2 79.51( ) 3 d IIA Bd 2 2 coscos() 6 X I U Bd 2 22 0.3 97.38 1 cos0.1084 66220 X I U cos0.891626.93 udiVD1i2 u2 ud t0 t0 t0 ua = 0 ubuc ua bua cub cub auc auc bua bua c iV D 1 t0 i2 9 (1) (2) /2Ud /2 /2U U (2 0 U 2012- 8- 21026 66A 22 2.34cos2.34cos() d UUU1 dM d UE I R 300 66 1.2 d U 220.8( ) d UV 220.8( ) d UV1 220.82.34 200 cos()61.85118.1590 12R1LU2220V LB=1mH EM400V60UdId 22 6 2.34cos2.34cos 22 bB ddd mXL UUIUI dM d UE I R 2 290.31( ) 109.69( ) d d UV IA Bd 2 22 0.3142 109.69 coscos()0.1279 6220 6 X I U 0 cos(120)0.1279cos1200.62798.90 22 400 109.69 109.69131.84() Mdd PE IIRkW 13 m 6kk=123 6 6k1k=123 57 m2mkk=123 2m 2mk1k=123 2mk1 143i2357I23I25 I27 3 2 8.97( ) d IIA 23 2 22 28.97 2.69( ) 33 d I IA 25 2 22 28.97 1.62 55 d I IA 27 2 22 28.97 1.15( ) 77 d I IA 1: 1 1k=1k=1 2mk2mk 8.9090 69131.84()69131.84()()()()69131 6kk=1=1 3 1k=1 12 2 2012- 8- 21126 21 2 22 28.97 8.08( ) d I IA 1 1 8.08 coscos0.90 cos300.7794 8.97 I I 157i257I25I27 7 117 23.4( ) 5 d d U IA R 25 6623.4 3.65( ) 55 d I IA 27 6623.4 2.61( ) 77 d I IA 1610.5kV10kV 150MVAId400A15 (1)cos1 (2)Ud (3) (4)23 1 1 coscoscos150.9659 1 0.955cos0.955 0.96590.9224 2 2 10.5 2.34cos2.34cos1513.70() 3 d UUkV 3 21 66 400311.88( ) d IIA 2 22 400326.60( ) 33 d IIA 3 10.5 326.60 0.92245478.80()PSkW 2222 ( 3 10.5 326.60)5478.802294.13()QSPkVAR 46k1k=123 25 66 40062.38( ) 55 d IIA 27 66 40044.55( ) 77 d IIA 211 66 40028.35( ) 1111 d IIA 213 66 40023.99( ) 1313 d IIA 217 66 40018.35( ) 1717 d IIA 219 66 40016.41( ) 1919 d IIA 223 66 40013.56( ) 2323 d IIA 23 2 2 2 21 2222222 100% 62.3844.5528.3523.9918.3516.4113.56 100% 311.88 28.76% n n i I THD I 3 40062.38( )40062.38( )400624006240062 666666 4002840028 11111111 d d 1111111111111111 4002840028 666666 1717 d II 66 1717 d II 92245478.80()92245478.80()()92245478 2222 5 326.60)5478)2 222 5 326.60)5478) )2 222 2727 6666 7777 IIIIII 2727 6666 IIIIIIII 40028.35( )35( )( ) 40018.3540018.35 1717 400184001840018 666666 400134001340013 2012- 8- 21226 17 v 1 cos 1 1 coscos I v I 2012- 8- 21326 1.*Ud816V U0=24V5W20kHz U0=24V5W 22 0 24 115.2 5 U R P Ud8V 08 8 182 1 1243 d UUD D Ud16V 016 16 1161 1 1243 d UUD D 12 33 D 2 (1) 2 LDD RT 2 (1) 2 DDRT L 2 (1)DD 12 33 D1/3 2 2 111 (1) *115.2* (1) 3320000 0.43 22 DDRT LmH 220kHz3- 7L=0.05mH Ui=15VU0=10V10W D 0 0 0 10 0.4 110 15 i i UD UUDV DUU 33- 1Ui=100VR=0.5L=1mH T=20 ston5 s 1UOIO 2* 3*ton3 s 1 0 5 10025 20 i UDUV 0 0 25 50 0.5 U IA R 10V 0 0 0 0 1010 11110 0 i i U0 UUDVUUDV 0 0 10U0 DUUDUU 0i i 111111 UUDVUUDVUUDVUUDV 0 0 11110 i i 111111 0 11111111 0i i 1111 5 3- 7 10W 0 4 15 UUDVUUDV0.4UUDVUUDVUUDV O 2012- 8- 21426 2 0 0 100 M E m E 0.001 0.002 0.5 L R 6 20*10 0.01 0.002 T 0.0025 on t 0.0025 0.01 11 0.2490 11 ee m ee 0.0025 m 0.01 11100 I()(0)50.2 0.511 ax eEe mA Ree 0.0025 min 0.01 11100 I()(0)49.8 0.511 eEe mA Ree 32 0 0 0 3 10015 20 15 30 0.5 UDEV U IA R 0.0015 on t 0.0015 0.01 11 0.1490 11 ee m ee 0.0015 m 0.01 0.0015 min 0.01 11100 I()(0)30.13 0.511 11100 I()(0)29.9 0.511 ax eEe mA Ree eEe mA Ree 43- 35E=600VR=0.1L=EM=350V T=1800 sIO=100A 1UOton 2 0 u 0 iiGiD E V + M R L VD io EM uo iG iD 3- 35 1 0 000 100 0.1 350360 M M UE IUI REV R 0 0 360 18001080 600 on on tU UEtTs TE 2 tont Gi iD Di V V R=0.1L L L VD i iG iDi 2012- 8- 21526 t t t t IG U0 I0 ID E t o nt o f f 5 D 0 1 1 i UU D 63- 4Ui=50VLCR=20 T=40 ston25 sUOIO 0 111 50133.33 11 0.625 1 ii on UUUV t D T 0 0 133.33 6.67 20 U IA R 7 0 0 i UU 0 i UUD1 0 0 UD1 83- 7Ui=100VR=0.5LC 1D0.2 2D0.6 1 0 0.2 10025 110.2 i D UUV D 0 0 25 50 0.5 U IA R 2 0 0.6 100150 11 0.6 i D UUV D 0 0 150 300 0.5 U IA R 00 ( 150) ( 300)45PU IkW 9Buck- BoostCuk Cuk UU 0.20.2 0.6 .2 UUVUUV I i UUUUi i UUi U U Ui= 0.20.2 UUVUUV 0.2 .2 UUVUUVUUV 2012- 8- 21626 Cuk 10U1=120VR=10900 UOIOPO 20 o11 111 2 ( 2sin) d()sin2120sin2 9084.85 22 UUttUV 0 0 84.85 8.49 10 U IA R 00 84.85 8.49720.38PU IW 720.38 0.707 120 8.49 P S 1100 8050 22 01 1 (sin2) 2 UU P RR 2 1 max 0.80.8UPP R 1 sin20.8sin(2 )20.41.2566 2 60.54 max 0.5PP 1 sin20.5sin(2 )2 2 90 12220VR=10 L= mH 1 2 3 4900 1 314 0.001 arctan()arctan()1.8 10 L R 1.8 180 21.8 1 m 2222 220 21.99 ()(314 0.001)10 ax U IA LR 3 22 maxm 21.99104835.60 ax PIRWcoscos1.80.9995 4900 arctan 54 220V220V arctan()arctan()arctan() L L () R ()()()()() L L ()arctan()arctan() 2012- 8- 21726 336 tan1.8 sin(901.8 )sin(901.8 )e 3301.8 900900 1 01 1 sin(2 )sin(22 )155.56 2 U UUV 0 0 2222 155.56 15.55 ()(314 0.001)10 U IA LR 0 1 1 0.707 2 U U 13U1=220VR=1 TC0.3s0.2s 22 1 max 220 48.4 1 U PkW R 0.3s0.2s max 0.3 48.429.04 0.20.3 N PPkW M 14 15 22180 180 16 1 233 33 2012- 8- 21826 17TCRTSC TCR Thyristor Controlled ReactorTSC Thyristor Switched Capacitor TCR TCR FC TSC TSC 2012- 8- 21926 1 2 4 1