Power electronics circuits, devices applications

Power electronics circuits, devices applications.Electrical Engineering.This book is dedicated to my dear wife Ilse who with great patience encouraged me to persevere with the completion of this work.

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~11~~15 01 5011(~~ (100 1.0(10 10011~1(10~~5, 49 511(0(0(1()1, 50

~0(0(0111(11100 ~(111(1~110(5, 74 511(0(0(1()1, 74

510~1~-.,11(15~ ~1111 ~00~~(1~(5, 84 510~1~- ,11(15~ 011(11 ~00~~(1~(5, 87

6-10.1 510~1~-~1138~ ~)1~10~00~~(1~(8, 166 6-10 2 111(~~- ~1138~ ~)1~10~00~~(1~(8, 168 6-10.3 ~~011~1100 01 0111~1111-13((0001~8, 169 6-11 1)~81~0 01 ~~ ~ 0113~~-~001(011~( ~1(~11118,172

7-6.5 1-1(01131100801 510~1~-513~~ ~00~~(8100, 204 7-7 111)1(1810( ~110~~~( 0(~11118, 204

7-7.1 1(0~1118~-~0(0(011131~0 ~110~~~(8, 205 7-7.2 ~11~~18_015011(~~ 300 1-030 10011~130~~, 210 7-7.3 1(0~1118~-~0(0(011131~0 111(~~-111)1(1810( ~110~~~(8, 210 7-7.4 ~~800301 ~1118~~110~~~(8, 212

10-3.2 $111~1~-~1138~ $~1111~011~~(1~( 0(1~~8, 302 10-3.3 $111~1~-~1138~ ~1.111-~011~~(1~( 0(1~~8, 303

~0111(01, 319 10-5.5 1~0/~01.1(-01.130(3111 ~110~~~( 0(1~~8, 319 10-5.6 ~1.1111~1138~~110~~~(8, 321

10-6 008~0-1.,00~ ~0111(01 01 0~ 0(1~~8, 323

10-6.1 0~~11-1.,00~ 1(31181~( ~1.111~11011,324 10-6.2 008~0-1.,00~ 1(31181~( ~1.111~11011,328 10-6.3 ~1138~-1.,0~~~0-1.,00~ ~0111(01, 330

111)1(1510( 11.1(11-011, 472 (/// (/( ~(01~~11011, 474 (/1)/(/( ~(01~~11011, 476 111)1(1510( 11.1(11-011, 478 111)1(1510( 1)1~~5, 479 14-8.1 ~11(15~ ~0111(01111)1(1510(5, 480 14-8.2 ~(151-5~11~11111~ 111)1(1510(5, 480 14-8.3 (1(11~-11.1(11-011111)1(1510(5, 481 14-8.4 )3101(~~11011(111(100~ 111)1(1510(5, 482 14-8.5 ~~~~(5~-~01101.1~1111~ 111)1(1510(5, 482 14-8.6 51(111~ 11101.1~11011111)1(1510(5, 483 14-8 7 1.,1~111-~~11~(11~0 5111~011-~0111(011~0 ~~~1111~(5, 484

14-9.1 5~~ ~(1((1(11~1~(5, 485 14-9.2 (110 ~(1((1(11~1~(5, 494 5~(1~5 0~~((111011 01111)1(1510(5, 504

~(1((111~1 0~~((111011 01111)1(1510(5, 507 111)1(1510( ~1(111~ 0(~1.1115, 50751.1(11(11(1()1, 509

~~()-=)( 580

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5~0111~((( 110~~81~1~.,,18100 (1~(111181~~(1~~3111~~ (001~01811~~~8

10~81~3111( 81~031 (001~0181~3108

1~ 0~11~(11008011~38001( ~~0~~310~800101~~~11(11101~ (10~~~ 811(1(111~8

0~0~80, ,.,.

~2

+1 , = ~ 5~~,.,.

~0~~~5~0~ ~ 2 (8) 8~~~~1~ ~~89~8/11

~.

0 0~

~

0

~ 2

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(/)) 111~ ~11~1~)1 01551~31~0 15

(() ~01 ~~ = 0.1 )( 44 = 4.4 ).1-53110(

= (1 = 2 ).1-5,111~(3~3(1101 ,,0113~~ 15 1)0(( = 2 ).1-5)= 220 )( ~-2/44 = 139.64 ~

~)(-22

01 ~2+

(2-40) (2) = 001 (2-41 )

220 = 500 /1-8 (~) 10~ ~11~(~~ 811~~11~00~ 10~ 8011(~~,

28

,.,,0

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17/11 (1 - ~05(10 + 8)) 210

34

~1 18.-/0

12,-, /1(() (/((0)() = 2~ 12,-, /~ (/((0)() = 0

~(0111 ~() (2-51),

11~ = ((0.~0)

2 - 11/2

-./4 (1~= - / ~,,, ~05 (1)( ~05 (/(1)( (/( (1)()

70 () ./

= ().~~, )5111 (((/ - 1)70/().)

= -0 = 46.19 ~ 111~ ~~3)( 111,,,~(5~,,,0113~~, ()1~ = ~ 1/,,,= ~ )( -0 )(

= (50.312 + 29.052)1/2 = 58.09 ~(0) 10~ 3,,,~(3~~ ~11((~11115 1011110 1(0(11

~

1 1

(2-83 )

(2-84 )

(2-85)

(2-86) (2-87)

(2-88)

(2-89)

~ = 470)-/~2 + (470/~)2 = 326 ~~

03(-48

-,-/7~,,15~0,, 80/11/11/.1~8~10/1

80/7/11~/.185

., 1,0

~1~0~~ 3-5 10~1115.

~)(-62

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.3

-,,1-,,0

(1 = ~ 5111-1 ( ~ 200 ~ / 30 4 ) 1

~,.301))1~ 3-6

10.~ ~11~1111111 ~1~ 3-14, 0.(15 10(10 1~5151(111~~5 01 ~1 = ~2 = ~ = 5 0, ~(1~(1~11(111~~,

~ = 10 /-1~, (1110511~~1~ ,,,011(1~~, 11$ = 100 ,. ))~1~1111111~ 10.~ ~11~1111111111-011 6111~,(

1)0(/) = 11$(1 - 2~-(/~~~) 10.~ 111111-0116111~ ( ~(1110~ 10111101110.~ ~011016011 1), (( = (.) 501,,,~0 (15

( = ~~ 111(2)

~01 ~ = 50 (1110~ = 10 /-1~,( = 34.7/-15.

68

~ + 51~2~)

)1/2

(~) ~~0111~() (2-48), 10~ ~1~~1~13~10~, ~~ = (2.2212 - 1)1/2 = 1.983 0~ 198.3%.

~1115~3111~ 0110~ 1~311510~111~~ 5~~01103~~ ~11~~~1111510~ 53111~35 1031 0110~ 1030, 1$ = 0.3536~ ~/~ 10~ ~011-3111~~~~~3611~ (~~) 0110~ 1~311510~111~~, ~ ~ = ~), = 0.707~ ~ )( 0.3536~~/~. ~~0111 ~() (2-49),

0.15922

1 10~ = 9.86

,,

~0= (.

8 ,,0

0

~020

~

0

~0)

0

~0,,,(

1/2 1-.(~ =

(4- 22)

(4-23)

( 4- 24 )

(0) ()-= 71/3.

~00 =2~~

~,.3 ~()3

~0

001

(0) ~(0111 5() (2-44) 111~(~~611~311011~111~1~11~~ 18

140.45 )( 14.050)

~.= ~,

6 +010

,

0

,1+ ~

,1

,1

~+06

102

71111~ 0115 111~111 ~11,,~111,

~ ,0

(0) ~8 ,810~,,,5 1~11 ~ 4-10 1/1(~~-~/135~ 01131 ~011 ,~((~(.

106

= 0.8030( 80.3%

~~ = ~ = 0.7797 (1(1~~111~) 1.

,13

,13

10 = 4.40 1-.

(11= -0.833, 01 = -0.866, ~1 = 223.90, 81 = 56.450 (12= 0.433, 02 = -0.173, ~2 = 111.790, 82 = 71.650 (13= -0.029, 03 = 0.297, ~3 = -5.50, 83 = 77.530

116

0

(~) ~8,,810~015(~) ~8,,810~015

170 /~ 811120)1 0(0)1)

~

~,

~

(38(8 ))0,58 01.1,

,

~(3818 ))0~58 01120

0

126

111~(1 ~ 5-6 111(~~-1111~5~ 0100~ ~(10 (1510( ~~ 5~11~11.

132

440 = 762.1 ~.

10(111 + /1) 10 ((6- 3)

0)(

., +

2,,+ 0 ,.,12,,

,.,1

~~~~,.,12,,

,.,1,,+0

91

,1 11

0+

0

(0) 920

(0) ~~0~ ~() (6.20), /0 = ~ )( 15.07 = 21.3,.,.,,.

(~) ~11~~~1~311/11~~1360/1 01 ~() (6-21) ~1~108 111~3~~13~~ 111~~18101~1111~/1138 /,, = 8.23 ,.,.,,.

~104

~1/1

068

1~0 ~ 6-11 ~)1~(111111 ~ 11((11118~(11~11101111(~~-))11115~ 011101(~(1101111) (0111(0))~(

,0113~~ 0~~~008 00 111~ (30~~ 01 0~13)1 30~1~8 111~ (018 0111~111 ~0113~~ 10( 3

110 = (2~

+

~11 ~ 6-14 ~((1111~~111~11( (0( ()/1115~ 0101(~~(1011111 (1~ ~011((01

(/1(~~-+

~~ = ,/1 = 3632.4 = 0.84 13.~~111~

(~) 1110.~ 111~1.11 ~0.3.5~ ~0113.~~ 1513./(~11 3.510.~ (~1~(~11~~ 3.11(151)-41-1 = 120051110)(

1)00 = 1)-48/2 = 147.15111 (0)( + 70/6) 1)00 = 1)-4~/2 = 147.15111 (0)( - 770/6 - 70)

,0 + 8 ,0+

44 ( . )

= 1292.4 = 0 9 13~~111~

(11) ~10111 8() (6-10), 1/1~ 111(1)(11111.1111(1,,,~1(18~ ~1.111~111 011/1~1151015,

230 /,,.,,.,,,=

=01(5(5111(/1 + 1)~ _5111(/1 - 1)~1

~1(/1 ~/ , 1030

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~ ~ 6-27 ~().111~31~111 (1 (1111 ~0 1110111((11 ~111.

03 -174

~~~~~00~~6~ ~1

~00

~0(

10~ 5~11~0111~11~()0~11~~ 15 25 )(112 1110~ ))~3)(-10-))~3)( (1))))1~ ~1111~111 01111011~10115 110111~010 0.8 ,6., 0~1~1111111~10~ (3) 0111~ ~~~1~, /(~ (0) 1111~1111011~1311~~,/ ,~3110 (~) 1111~1~3))3~1101, ~.

1~(1~~ 7-10 01/( (~8(11~10(.

200

204

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= 11./( + 1((( + ( ,)11.+ 0.5((/(111 + 11.))

(7-120)

214

~~~~80 ./1~0~9/1 (2

-~ 0

,.1+

111~ (1118 001~01 ~01138~ ~30 0~ 1000~ 1(0111

( 2 1

~(()25

17, 2175 /1

~5 0

236

~0(,, = 1, 111~ (1115 ~3111~ 01111003111~0131 ~0111~00~01 ~30 0~ 101100 1(0111 111~ ~~3~

1113~011110~ 10 8() (8-11) ~

4 ~5 ~05 300 111.1 =

()8~~16~ 519(18~

~6/6~6(1~6,,,,

~01 ,.

+ ,.1 +

++

1 28

/,,, = 2(10)( 10~6 + 10/54,160) = 73521-12

~0+

0,

1~0 ~ 8.30 1-131(-0 10~~ 1 31181810 12~0 ~80113111 111~~ 1~

10 =

3500 = 285.72/1-8

116 (, = - = 58 /1-8 2

10(,)

/~ = ~/01~1 16(() (/()1/2 = 22.05 ~ (0) 10~ 0115 10(10 ~11((~111,/0 = 2/~ = 2 )( 22.05 = 44.1 ~.

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~.1 12(1) = 1/1 - -1

(() ~(0111 ~() (8-89), 10~ 11111~10( 10~ 11~3/( (1.1((~11118

1(,,,

.,,1~0 ~ 8-33 ~0(11()1~(11~(1(3(~ (10(1 ~1(111~~003~(( ~1(101(185.

~0(11(110(3-801 1100 11, = 220~, 1-1 = 1-2 = 1-,,, = 30 ~1-1,~ = 50 ~~, ~110/,,, = 175~. ~(0(11

8() (8-87),

~ = 175 /2)( 30 = 0.8714

220~ 50 106

~~02

~50

-3.~5

~01(1 + 3.)~5

~50

-1

/101

~1+

~~1

~01+

01~10111~ 10.~ 0111~111 ~0113~~ 0~ 10.~ 1030 1111~~0311~~ 3110 ~011510~1111~ 10.~ 3~~10~1131~

(,(/) = 15.195111 (377( + 49.740) + 0.865111 (7 )( 377( - 82.850)

+ 1.095111 (9 )( 377( - 84.520) + 0.665111 (11 )( 377( - 85.550) + (0) ~~~1~~1111~ 10.~ 0.311110111~5,10.~ ~~3/( 1030 ~1111~111,1,~ = 1/ = 15.19~.

286

51899

+()1 ()3

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~, = ~1~10~1(~1111(~8181311~~,11 11- = 103010(~11~, ~.111

(10-3) (10-4) (10-5)

~ ~~8~~ ~~~~8,,~ ~1

~0

(~) 0~8(1~811(

302

1~(1 ~ 10-10 ~ 9.5-/(~ 3.113.10~-03.5~05111~1~-~/13.5~ 1(111-~3 ,~ 0(1.,~ (8.~~~0-()/./~~() 0)1 ~~~171/55/0/1 01 8~/./5/1 ~/~~(~/~(1/

1/1~0 ~ 10-12 ~ 68-/(~ 035~0 111(~~-))1135~ (011 ~011,,,~(1~( (~~-

011~(0))(0~~550(-~70(./~~~(./ 0)1 ~~7/1115510/1 0/ 137~,, (71~(1/ /.1(1~,,1/1~5 1-((./., ~/18/(1/1(./)

)~11 ~ 10-13 ~ 360-~~ 12-()11)5~ 3.(-0(

(011.,,~(1~( ~0( 0( 0(1.,,~5 (~~/1,0011( ~0 0))/1~,/11/5.~/0/1 01 8,115/1 ~/~(.(,/~(// /(1(/(/1//1~51.-(0., ~/115/(//10)

(0) 0~8(1~811(

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314

70(~) ~(0111 ~~ (10-42), 10~ 111~)(11111.1111 ~~(111155101~0(~/(111~ 5~~~0,

(.0 = 0.01527 )( 250 = 66.14 (~0/5 0( 631.6 (~111

- - (8) 8~~~~~1

1 ~0~

0

~~0,

318

0198~~ ~2

(10-56) (10-57) (10-58)

324

~11~(~ 70 = ~,,/ ~,,, 15 /(110~11 35 111~ (1111€ ~0115((111( 01 (11010( 3((11311.1(~ ~1(~1.111 ~(0(11

~() (10-58), 111~ (11010( 5~~~0 15

(10-61) 1()(5) - 1~(5)

18(5,.,,, + 1)

18(5 -,,, + 1)

1

~,,,(5 + 1)

328

= 178.02- 2.246 - 17.8 = 158 30/5 0~ 1508.5 ~))01 (8) /1~~ = 2.31 ~ 3110 ~() (10-65) 81 ,~5

)( 265.582 ,,,,,,

= 265.64 ~.111

346

~= 6~5 1(,,,0)~

(10(

0.23+

((1) ~~0111 ~() (11-32), 1( = 1.235 )( 10-3 )( 162.32 = 32.5 ~.111.

(11-33)

1, = ( 51(.()),,, )1/23~, (1 - 5)

1/00.139 )( 32.5 )( 162.3 .

(~) 111~ 51310~ 511~~1~ ~0113~~,

~ = 1.( (~ + ~.)

2+ (% + %.)2

(11-39)

(11-40) 0.69

1175 = 347.67 ~.~

347.67 )( 125.66 /0 = 2.3394 )(

(0) 511~,

1)

= 125.66 -.1 5

10~ 8~~~0, ~01~0 181110~~~110~111 0110(().11~, 0~~0111~8

(1 + 110 ~~8~) 109.96 = 125.66 ( 1 + 0.4 0.9~08 ~)

=,.,.,,~=~0051801

~-

~~,88-~~8585~~~~~

360

(0,,,= 94.25 )(

(1 - 0.242) = 71.44 (3.0/8 0( 682 (~111 1,,, = 125.82 ~.111

(0) ~1601-12, (06 = (0$ = 188.5 (3.0/8 3.110~ = 265.58 - ,, ~(0111~~ (11-60),

0.38 5,,, = 1.14 + 1.71 = 0.1333

1.14 + 1.71 . (0,,, = 94.25 )( (1 - 0.2666) = 69.11 (3.0/8 0( 660 (~111

)~11 ~ 11-12 10(()11~-5))~~0 1511~5 0)1 ~11((~111 ~0111(01.

~11~88-~11858511~~~~

0,,,

~11~~81115011~~8

~111/8, 8~

362

125.66((0.66 + ~~/5)2 + (22.13 + 0.76 + 1.14)2)

~5

5

- = 76.1440( 7 815

~ ~ 11-18 ~(1((~11( ~011((01 ~1(11 5(~11( 511~.

~0~99-~08595~~~~~

= 143.28 )( 75.4 = 10,803 ~ ((1) 11~= 0(0$ = 2.1133 )( 75.4 = 159.34 ~.

70(0$ = (0,,, = 720 )(

30 = 75.4 ((10/8

372

, 0~~~8. , ~

889808~81~00

, 0~~~8 ~~8 1058~~80~~

0, 0~~~8 ~~8 /01~8~~

1/1~0 ~ 11-29 ~ 3.3-~~ 5~11~11~011005

~~,,,,/55/011 0/ /1,/-/5/1 5/~((,/(/1/ /.1/1(/1/11~5/ ,(0., 5118/(1110)

1/1~11 ~ 11.30 ~0111(0) (1101()~ ~0( 111~

0(1 ~ 111 ~1~ 11-29 (~~()70~/1~~~ 0)1()~7111/.55/0/1 0/ 87/15/1 ,,,/~~(7/~0/ ),10~/1//1~5/ ,(~., ,,,/1/5/0/1~)

00.25 ~~~

2(28,8, (~~(,,=

1~ ~ 12.5 20-300 30-~111~ 011315~0011/(~ ~~01~( (~~11~1~(5 (~0/1,(~5()1 0/

. 1 ~0.8,.,,,,,,~(, 0) 1-=(,.,,,) + ~ (1~(~/45))2 ~(,.0)2 ,~~~ ~ ~ , 8 0~~

- -. 1.30

068 10 ~8 8~.,.~0.6 , ~ 1 8~ 8.15 ~.,,~8

(0, - - 0.657 1~.5. ~ 8~.011=(~ )

,.2 1~~1 ~ 8816~.,,~.

- - 0.353., 11 ,.5. 8~0.,,8,.-1 ~1

1901 57(2.0) 9(0~.)

~88 51.~~8 00-20~ 1~()~~

~23~~ 5~~~~5 800-600 ~0 ,.5 ~~~~~

~60 50 ,0

~~30 20 10

30 20 10

~23~-= 5~~~~5 800-600 ~0 ,.5 ~~~~~

41.27(1.625) 0~,6 ,.,~)(.

- - 0.787 1~ ~~~8~80 1~1,6, )

,,2 ~190-~8 8~ ~85, 8~80~8

- - 0.501.,, ~8 8~58 ~8~0 8 ~~~1,,,.

~100 0

~80 70

~60

,,

0 50 40

,, 30

~20 10

~30 20 10

+

~.282

02

/// -

-

/

7 - - - - ~.1

~ / (/

/ / /

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~ ~ 13-2 ~/1~ 10(5 (~0/./,(~$)1 0/ /10~~,~~, 1~~.)

(13-4) (13-43) _

~~~(888

(0) 8~8~96 ~~011~6 0()~1~91()~~-011

= 0.00375 + 42.33 = 42.33 ~ (0) 10.~ (011011(6011 ~~~100, 0 ~ (

400- 500 ~ ~~0(808)= 500 - 700 ~ ~~~

150 ~01(1.~.8, 1~ ( ~)/1~~ 50 )0,.1.0.01001~ 100 ~01(1 8 1~ (/1~~ 200 ()1(1.0.1)

312.5

_400( (0+1500(

_400( (0+1500(

2.510.0

01),01.4

500

~/€(1,/( ~0/11~(111)1)_

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.,

-

800.( - ,.~((-= ,.)250

1 100, ~

1.~ 1~ /20

-1 1~/.0 ,,8((0 ).- , ,

1,182

1~/1.~ 20 8((0,,,.) -5,,,,

811101 1.00~,., 0 = 9.2 - 131111110() 0.~ = 25 - 2810 - 10.

(0~ ~()1.81~81~0(5)

430

2500 ,,,8~5 51,.~~88 ~,.€8~

10, 460,,, 5,,518,-,,5 ~,(8 ~0 (060692 .

.~0,(0 ,~8

8~~118, 0~008

90 80 70 60 00 40 30 20

(() ~1~11~~13-12.9 ~1~~5, (~ = 0.4 , , 5,(,/ = 0.085 , , 5~111~~~10~~,(00 = (,/ + (~ = 0.485 , , 5.

438

~00

+8

885~~ 51~~~1~~8(0) ()-~~8,,,,8( 08()(81~0,,-1~()8 ~08~~,

885,~ 51~~~1~~6(8) (1-~08(1(16~ 6(108(1~6~6(11-1)-~6 ~08,,,~,

+

(0) ~-~08(1(16~6(108(1~6~6(11-1~~6 ~08,,,~, 1~11 ~ 13-21 51111811(~01~111-1)111~~05~518

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10.29(0.405)

.

~ 378(0.149)0~~

~3~,+,

15.09(0.594) 14.84 (0 584 ~

~~60,

5

~~~20810

~~0_

~ 1.0.0.

.~~,, ,0 ,-

0

00 15.,

0

/=.0~~~ 6 ,,,.~)(.,,,.~,,, ~~,.~0 5.,,(,.~~~~05~/=~ 0,.~~~,.~~0 ~~~~ /=0~ (~0~~,.,~-= ~0~0

10-3 102 /0()( -5~ ~(0, ~ 5~(0~05

/=.0~~~ 8 ,,,.~)(.,,,.~,,, ,.~~~5~~~,

,.~~~,,,.~~ ~,,,.,.~0~~~~

1~0 ~ 13-32

~)~0 ~ 13-38 1)15~/11111~~ ~0~~~111 01511000~~ ~111111~110~.

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1~(1 ~ 14-1 111(~~ /111-)1111((10115 8110(11~(15(0( 5~(11001

~0~(899

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.), 02

~~(3 .)2

.)2

~~~()01

~82

(3) 835~~ 51~()~1()~8 (0) ~~()~~3~8~1 ~,~~()~1 )~0 ~ 14.3 1~0-1(3(151510( ((100~1 01 (0)1(1510(,

470

~0

~1

~1

.1+

-.,0

+-.,

111~11 ~ 14-12 ~381-8~11~111118 10(8 (~01./,(~5)/ 0/ /10111~,~~, //1(.)

(3 8

~~

1~.2

(0).8~~~ 5~0100~

~.2(8)(0~~~ ,8~8~101.8~~~

1 5~ ~ 1 ,., ~ ~ -40 10 150 00

11( 1 ,, ~~,., , .~~ 540 . 181)0 1(.1

00 5308=/1 5

5.~~0~~0 ~~~-0~~ ~,.,,~ 12/.15

850 ~,.,,~ ~,.,,5, ~~~6 ~,.,,~1 ~~~~~(3(3~.~

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