Bahaper6.fm Page 262 Monday, February 24, 2003 5:42 PM
Bahaper6.fm Page 263 Monday, February 24, 2003 5:42 PM
Bahaper6.fm Page 264 Monday, February 24, 2003 5:42 PM dc inpu dc-ac inversion sage Resonan sage ac-dc recificaion sage dc oupu
Bahaper6.fm Page 265 Monday, February 24, 2003 5:42 PM
Bahaper6.fm Page 266 Monday, February 24, 2003 5:42 PM i sw I on Turn-on Turn-off v sw i sw ff v sw i sw I on Turn-off Turn-on v V sw off
Bahaper6.fm Page 267 Monday, February 24, 2003 5:42 PM i sw I on sw v sw on ff P() Turn-off P max Turn-on ff v sw v sw sw on ff i sw I on Turn-off Turn-on P max P() V v off sw
Bahaper6.fm Page 268 Monday, February 24, 2003 5:42 PM (c) (c)
Bahaper6.fm Page 269 Monday, February 24, 2003 5:42 PM o o R o in o R o F o R o (c) o o Ro I o
Bahaper6.fm Page 270 Monday, February 24, 2003 5:42 PM ( < ) < > () i i in I o i v c I o v c I o (c) (d) I o
Bahaper6.fm Page 271 Monday, February 24, 2003 5:42 PM ( < ) () sin ( ) cos ( ) ( ) ( ( ) ) () ()
Bahaper6.fm Page 272 Monday, February 24, 2003 5:42 PM () sin ( ) () [ cos ( )] ( ) () ( ) () ( ) sin ( ) ( ) ( < ) ( ) ( ) () ( ) [ cos ( )] ( ) ( ) () ( ) [ cos( )]
Bahaper6.fm Page 273 Monday, February 24, 2003 5:42 PM [ cos ( )] ( < ) () () T s 2 v c On Off i I o /Z o I o 0 1 ' max '' max 2 3 4 =T s
Bahaper6.fm Page 274 Monday, February 24, 2003 5:42 PM ( ) ( ) () ( cos ( )) ( ) ( ) sin ( ) ( ) ( ) ( )( ) ( ) ( ) ( ) () () ( ) [ cos ( ) ] cos ( ) [ ( )] ( ) ( ) ( ) ( )
Bahaper6.fm Page 275 Monday, February 24, 2003 5:42 PM ( ) ( ) ( ) ( ) ( ) ( ) [ cos ( )] ( cos)
Bahaper6.fm Page 276 Monday, February 24, 2003 5:42 PM 1 0.8 0.6 Q =8 Q =4 Q =2 Q =1 M 0.4 Q = 0.5 0.2 0 0 0.2 0.4 0.6 0.8 1 f ns
Bahaper6.fm Page 277 Monday, February 24, 2003 5:42 PM ( ) ( ) ( cos ( )) ( )( cos( ) )
Bahaper6.fm Page 278 Monday, February 24, 2003 5:42 PM o o R o I o T s On Off v c i I o 0 I o /Z o 1 ' max 2 3 4 =T s (c) ( < ) ( ) ( )
Bahaper6.fm Page 279 Monday, February 24, 2003 5:42 PM in o R o i o I in () ( ) ( < ) ( ) ( ) () ()
Bahaper6.fm Page 280 Monday, February 24, 2003 5:42 PM I in I in I in (c) I in (d) () sin ( ) () cos ( ) ( ) ( )
Bahaper6.fm Page 281 Monday, February 24, 2003 5:42 PM < () ( ) ( ) ( ) ( ) ( ) ( ) ( ) [ ( )] ( < ) T s On Off v c i I in /Z o I in 0 1 max 2 3 T s = 4
Bahaper6.fm Page 282 Monday, February 24, 2003 5:42 PM < < ( ) ( ) ( ) ( ) [ ( ) ( )] ( ) ( ) ( cos) ( cos)
Bahaper6.fm Page 283 Monday, February 24, 2003 5:42 PM 5 Q =12 4 Q =8 M 3 Q =4 2 Q =2 1 Q = 1.5 0 0 0.2 0.4 0.6 0.8 1 f ns ( ) ( ) ( )
Bahaper6.fm Page 284 Monday, February 24, 2003 5:42 PM ( ) ( ) (( ) ) ( )( ) ( ) ( cos) ( cos) ( ) ( ) ( )
Bahaper6.fm Page 285 Monday, February 24, 2003 5:42 PM v c in i o R o I in T s On Off v c 2 i I in /Z o I in 0 1 ' max '' max 2 3 4 =T s (c)
Bahaper6.fm Page 286 Monday, February 24, 2003 5:42 PM i F F o R o v c i I F ( < ) () ( ) () () ()
Bahaper6.fm Page 287 Monday, February 24, 2003 5:42 PM ( < ) ( ) ( ) () () > () sin ( ) () ( )[ cos ( )] ( ) ( ) ( ) ( < ) () ( ) ( ) ( ) ( ) ( ) ( ) ( ) ( < )
Bahaper6.fm Page 288 Monday, February 24, 2003 5:42 PM v c i I F i I F i I F (c) i (d) I F ( cos)
Bahaper6.fm Page 289 Monday, February 24, 2003 5:42 PM T s 2 v c On Off i I F Z o I in 0 1 ' max '' max 2 3 4 =T s 5 4 Q =8 M 3 2 Q =4 Q =2 1 Q =1 Q = 0.5 0 0 0.2 0.4 0.6 0.8 1 f ns
Bahaper6.fm Page 290 Monday, February 24, 2003 5:42 PM ( cos)
Bahaper6.fm Page 291 Monday, February 24, 2003 5:42 PM F o R o I F gd s ds gs 1 s 2
Bahaper6.fm Page 292 Monday, February 24, 2003 5:42 PM -ype M-ype -ype M-ype -ype M-ype (c)
Bahaper6.fm Page 293 Monday, February 24, 2003 5:42 PM o o R o I o i in ( < ) < ( ) ( ) () () () () () < ( )
Bahaper6.fm Page 294 Monday, February 24, 2003 5:42 PM i v c v I o I o I o I o (c) (d) I o (e) ( < ) ( < ) ( < ) ( ) ( )
Bahaper6.fm Page 295 Monday, February 24, 2003 5:42 PM ZV Off On i I o I o v c I o Z o 0 () cos ( ) () sin ( ) ( ) ( ) cos 1 max 2 ' 2 3 T s = 4 ( ) ( < ) ( )
Bahaper6.fm Page 296 Monday, February 24, 2003 5:42 PM () ( ) cos ( ) ( cos) ( < ) ( ) ( ) () () () () () < < [ sin ( ) ( ) ( ) cos ( )] ( ) ( ) ( ) cos
Bahaper6.fm Page 297 Monday, February 24, 2003 5:42 PM 1 Q = 0.9 0.8 Q = 0.7 0.6 Q = 0.5 M 0.4 Q = 0.3 0.2 Q = 0.1 0 0.2 0.4 0.6 0.8 1 f ns ( cos) ( < ) < () () () ( )
Bahaper6.fm Page 298 Monday, February 24, 2003 5:42 PM in o R o Vo I in v c i I in I in I in I in (c) (d) ( < ) ( ) ( ) ( ) () sin ( )
Bahaper6.fm Page 299 Monday, February 24, 2003 5:42 PM T s Off On i I in I in v c I in Z o 0 1 max 2 ' 2 3 T s () [ cos ( )] ( ) ( < ) ( ) ( ) ( cos ( )) () ( ) ( ) ( ) ( )
Bahaper6.fm Page 300 Monday, February 24, 2003 5:42 PM 5 4.56 4.11 3.67 M 3.22 2.78 2.33 Q = 0.9 1.89 1.44 1 Q = 0.05 0 0.11 Q = 0.3 Q = 0.1 Q = 0.5 f ns 0.22 0.33 0.44 0.56 0.67 0.78 0.89 1 ( ) ( cos ( )) ( < ) ( cos) ( ) ( )
Bahaper6.fm Page 301 Monday, February 24, 2003 5:42 PM ( ) ( ) ( )( ) ( ) ( ) ( ) ( )
Bahaper6.fm Page 302 Monday, February 24, 2003 5:42 PM in o Ro I in F o R o i v c I F ( cos)
Bahaper6.fm Page 303 Monday, February 24, 2003 5:42 PM I F I F I F I F (c) (d) T s Off On I F i I F v c I in Z o 1 max 2 ' 2 3 T s 0 (e)
Bahaper6.fm Page 304 Monday, February 24, 2003 5:42 PM 6 5 4 M 3 2 Q = 0.9 1 Q = 0.5 Q = 0.3 Q = 0.05 Q = 0.1 0 0.2 0.4 0.6 0.8 1 f ns a i c I F i V g v c b v c a s i c I F V g i b v
Bahaper6.fm Page 305 Monday, February 24, 2003 5:42 PM
Bahaper6.fm Page 306 Monday, February 24, 2003 5:42 PM I in a i sw i c I F o I o V g v c i v o R o v o b I in i a V g b o I o i sw F i v vc o R o v o i c I c in a i i v sw i b I F I o _ o vc o R o v o V g (c) ( < )
Bahaper6.fm Page 307 Monday, February 24, 2003 5:42 PM I in i a V g b o I o i sw F i v v c o R o i c (d) I in a i i sw F c I F I o i i _ v o v c o R o (e) b I in i a F I o i sw o v c o R o i v I F c i i b (f) ( < ) ( < ) ( < )
Bahaper6.fm Page 308 Monday, February 24, 2003 5:42 PM T s v c On Off 2V g i I F V g /Z o I F 0 1 ' max '' max 2 3 0 T s ( < ) ( < ) ( < ) ( < ) ( ) ( ) ( < ) () () ( ) ( ) ( ) ( < ) () [ cos ( )] ( ) () sin ( )
Bahaper6.fm Page 309 Monday, February 24, 2003 5:42 PM a i c I F a i c I F i i V g v c v V g v c v b b a i c I F a i c I F i i V g v c v V g v c v (c) b (d) b ( < ) () ( ) ( cos) ( ) ( < ) () () () ( ) ( ) ( ) (( ) )
Bahaper6.fm Page 310 Monday, February 24, 2003 5:42 PM ( ) ( ) ( ) ( ) ( cos) (( ) ) () sin ( ) ( ) ( cos) ( ) ( sin cos)
Bahaper6.fm Page 311 Monday, February 24, 2003 5:42 PM ( ) ( ) ( < ) ( < ) ( < )
Bahaper6.fm Page 312 Monday, February 24, 2003 5:42 PM Volage gain (M) 1 0.9 0.8 0.7 0.6 0.5 0.4 0.3 0.2 Q=12 Q=8 Q=4 Q=2 Q=1 Q=0.5 Volage gain (M) 0.1 0 0 0.1 0.2 0.3 0.4 0.5 0.6 0.7 0.8 0.9 1 1 0 0.2 0.4 0.6 0.8 1 5 4 3 2 Q=16 Q=12 Q=8 Q=4 Q=2 Normalized frequency (f ns ) Normalized frequency (f ns ) 5 Q=12 4 Q=8 Volage gain (M) 3 2 Q=2 Q=4 1 Q=1 Q=0.5 0 0 0.2 0.4 0.6 0.8 1 Normalized frequency (f ns ) (c) ( < ) ( ) ( ) ( < ) () ( ) ()
Bahaper6.fm Page 313 Monday, February 24, 2003 5:42 PM 4 Normalized swich average curren 3 2 1 All Q s 0 1 1.5 2 2.5 3 3.5 4 4.5 5 Normalized resonan (swich) rms curren Volage gain (M) 8 Q=16 6 Q=12 Q=8 4 Q=4 2 Q=2 0 1 1.5 2 2.5 3 3.5 4 4.5 5 Volage gain (M) ( ) ( ) ( < ) ( < ) () sin ( ) () cos ( ) ( ) ( ) cos ( ) () () cos ( ) ( )
Bahaper6.fm Page 314 Monday, February 24, 2003 5:42 PM v c I in a i c I F I o i sw i o V g v o R o b I in a v c i sw V g o R o I F i i v I o c b v c I in a i F c I F I o i sw i i _ v o o R o (c) b ( ) ( ) ( < ) () ()
Bahaper6.fm Page 315 Monday, February 24, 2003 5:42 PM I in a V g b o I o i sw F v c v o R o _ i i c (d) v c I in a i F c I F I o i sw i i _ v o o R o (e) b I in i a F I o v c i sw o o R o i F i i v c (f) b ( ) ( ) ( ) (( ) )
Bahaper6.fm Page 316 Monday, February 24, 2003 5:42 PM T s v c Off V g Z o I F On V g i I F I F 0 1 2 3 0 T s ( < ) ( < ) ( < ) ( < ) ( ) ( ) ( ) ( ) ( cos)
Bahaper6.fm Page 317 Monday, February 24, 2003 5:42 PM v c v c a s i sw i c I F a s i sw i c I F i i V g v V g v b b v c v c a s i sw i c I F a s i sw i c I F i i V g v V g v b b (c) (d) (( ) ),, () ( ) ( ) ( cos ( ) ) ( cos)
Bahaper6.fm Page 318 Monday, February 24, 2003 5:42 PM () () ( ) () ( ) 1 0.8 Q=0.8 5 4 Volage gain (M) 0.6 0.4 0.2 Q=0.5 Q=0.3 Q=0.2 Q=0.1 Volage gain (M) 3 2 Q=0.1 Q=0.5 Q=2 Q=1.5 Q=1 0 0 0.2 0.4 0.6 0.8 Normalized frequency (f ns ) 1 0 0.2 0.4 0.6 0.8 1 Normalized frequency (f ns ) 6 5 Volage gain (M) 4 3 Q=1.5 2 Q=0.1 Q=1 1 Q=0.5 Q=0.05 0 0 0.2 0.4 0.6 0.8 1 Normalized frequency (f ns ) (c)
Bahaper6.fm Page 319 Monday, February 24, 2003 5:42 PM 100 15 Normalized swich peak volage Normalized swich peak curren 80 60 40 20 7 6 5 4 Q=0.1 0 0 1 2 3 4 5 6 Volage gain (M) All Q s Q=0.5 Q=1 Q=1.5 0 0 1 2 3 4 5 6 Volage gain (M) 4 3 2 Q=0.1 Q=1.5 2 1.5 Q=1 Q=0.5 1 1 0 1 2 3 4 5 6 0 1 2 3 4 5 6 Volage gain (M) Volage gain (M) (c) (d) Normalized swich capacior rms volage Normalized resonan inducor rms curren 12 9 6 3 3.5 3 2.5 Q=0.1 Q=0.5 Q=1 Q=1.5
Bahaper6.fm Page 320 Monday, February 24, 2003 5:42 PM 1 1 o 1 1 o
Bahaper6.fm Page 321 Monday, February 24, 2003 5:42 PM ( < ) < > () () ( ) in 1 o R o 1 i I in v c 1 1
Bahaper6.fm Page 322 Monday, February 24, 2003 5:42 PM I in 1 I in 1 1 1 (d) I in 1 I in 1 1 1 (e) I in 1 I in 1 1 1 (c) (f) ( ) ( ) ( < )
Bahaper6.fm Page 323 Monday, February 24, 2003 5:42 PM () () () () sin ( ) ( cos ( )) () ( ) cos ( < ) ( < ) () () () ( cos ( ) ) () () > () ( ) ( )
Bahaper6.fm Page 324 Monday, February 24, 2003 5:42 PM ( < ) () ( ) ( ) ( < ) On 0 1 2 3 4 5 6 = T s 0 1 v c i I in
Bahaper6.fm Page 325 Monday, February 24, 2003 5:42 PM 3 H 350 H 25 V 0.02 F 20 F 12 T s = 4 s i 10 H i i 48 V 40 F I o f s = 100 khz = 28 V i o o R o on T
Bahaper6.fm Page 326 Monday, February 24, 2003 5:42 PM v sw i i i o v c ± ± i v I o 20 V 25 V 2.7 H 0.15 F 2.5 H 0.1 F I F f s = 250 khz 4.7 A I F 32.5 V I o = 0.635 A 63.5 V I o
Bahaper6.fm Page 327 Monday, February 24, 2003 5:42 PM i v c I F. i o v c o R o v c 55 V 25 V 1 = 4 s 2 = 25 s 3 T s = 75 s s i 10 A s 10 A i ( 2 )
Bahaper6.fm Page 328 Monday, February 24, 2003 5:42 PM ( cos) sin,, I in v c ( ) i < () ( cos ( ) ) () sin ( )
Bahaper6.fm Page 329 Monday, February 24, 2003 5:42 PM i in in n : 1 o i o m v s o R o 1 1 1 2 2 2 n : 1 o i o m I in 1 1 1 v c1 2 2 2 v c2 1 2 T s T s (c) v 0.02 F o Io 260 H i i 48 V 5 mh 4700 F R o v c A ' A A o R o f s = 50 khz
Bahaper6.fm Page 330 Monday, February 24, 2003 5:42 PM K ik n : 1 i o s I in 1 1 1 i m m v c1 v s 2 2 v c2 F 2 i sw s i i 1 2 I F v c v o I o 1 1 0 1 1 2 2 i 2 T s o 2 o T s R o 2
Bahaper6.fm Page 331 Monday, February 24, 2003 5:42 PM v c o R o T s T s i 2 v c 0 1 2 T s