Cong Thuc-Do Thi Dien Xoay Chieu

Kha hc LTH mn Vt l (KIT1) Thy ng Vit Hng (0985.074.831) Facebook: LyHung95

Tham gia kha hc LTH KIT-1 v Luyn gii mn Vt l ti Hocmai.vn t kt qu cao nht trong k TSH nm 2014!

TNG HP CNG THC TH TRONG IN XOAY CHIU BIN THIN CNG SUT THEO , L, C, R

Cc cc tr

Gi tr cc tr th minh ha Pha ca u v i

P theo RZZR

URIPCL

22

22

)( +==

Pmax khi cng hng: rR

UPLC +

==

2

max

20 ;

1 ;

0=

Tn ti 21, cng sut 21 PP = (hoc 21 II = ).

Khi 2021 =

2121 coscos ==

P theo C.

Pmax khi cng hng:

rRUP

LC

+==

2

max20 ;1

; 0=

Tn ti 21,CC cng sut 21 PP = (hoc 21 II = ). Khi :

02121

21120 CCC

ZZZ CCC =+=+

2121 coscos ==

P theo L Pmax khi cng hng:

rRUP

CL

+==

2

max20 ;1

; 0=

Tn ti 21, LL cng sut 21 PP = (hoc 21 II = ) .

Khi : 02121 22 0 LLLZZZ LLL =+=+

2121 coscos ==

P theo R Pmax theo BT Csi

)(22; 022

max0rR

UZZ

UPZZrRCL

CL +=

==+

4pi =

21, RR cng sut 21 PP = . Khi :

2021 )())(( rRrRrR +=++

rRRUPP

221

2

21 ++==

2121 cossin2pi ==+



PR theo R

PRmax theo BT Csi

( )

)(22

max

22

rRUP

ZZrR CL

+=

+=

21, RR cng sut 21 RR PP = . Khi :

22221 )( RZZrRR CL =+=

rRRUPP RR 221

2

21 ++==

BIN THIN UR THEO , L, C, R

Cc cc tr

Gi tr cc i Tn ti hai gi tr Pha ca u v i

UR theo ( )

RZZR

URZURIU

CL

R22

.

+===

URmax khi cng hng: UULC R== max

20 ;

1 ;

0= Khi c cng hng th URmax = U khng ph thuc R

Tn ti hai gi tr 21, 21 RR UU = (hoc 21 II = ) .

Khi : 2021 =

2121 coscos ==

UR theo C.

URmax khi cng hng: UULC R== max

20 ;

1 ;


Tn ti hai gi tr 21,CC 21 RR UU = (hoc 21 II = ) .

Khi :

02121

21120 CCC

ZZZ CCC =+=+

2121 coscos == UR theo L URmax khi cng hng: UULC R

== max

20 ;

1 ;


Tn ti hai gi tr 21, LL 21 RR UU = (hoc 21 II = ) .

Khi : 02121 22 0 LLLZZZ LLL =+=+

2121 coscos ==



UR theo R ( )

( )2

2

22

1

.

RZZ

U

RZZR

URZURIU

CL

CL

R

+

=

+===

URmax khi mu s min R UU R

URmin khi mu s max 0 R 0 RU

Khng c 2 gi tr UR bng nhau

Ghi nh: P, I v UR bin thin theo L, C, hon ton tng t nhau BIN THIN UL THEO R, L, C,

Cc cc tr

Gi tr cc tr th minh ha Tn ti hai gi tr

UL theo R

( ) LCLLLL Z

ZZR

UZZUZIU

22.

+===

ULmax khi mu s min:

LCL

L ZZZUUR

= 0 ; 2pi +=

ULmin khi mu s max: 0 LUR

Khng c hai gi tr no ca R cho UL bng nhau

UL theo C.

ULmax khi cng hng: RZUU

LC LR == max20 ;

1

;

0= 00 LC UZC

22

.0L

LLC

ZRZUUZC+



UL theo L ( )

1121)(

.

222

22

++

=

+===

LC

LC

L

CL

LLL

ZZ

ZZR

U

ZZZR

UZZUZIU

ULmax khi: RZRU

UZ

ZRZ CLC

CL

22

max

22

;+

=

+= ;

2pi =+ RC 2222 CRL UUUU ++=

Tn ti hai gi tr 21, LL 21 LL UU = . Khi :

021

211LLL

=+

UL theo

11)2(11

.

22

2

422 +=

===

LCLR

CLY

YUZ

ZUZIU LLL

ULmax khi mu s min

2221

RC

LCL

= 22max 42

CRLCRULU L

=

Tn ti hai gi tr 21, UL bng nhau. Khi

222

21

211L

=+

BIN THIN UC THEO R, L, C, Cc cc tr

Gi tr cc tr th minh ha Pha ca u v i

UC theo R

( ) CCLCCC Z

ZZR

UZZUZIU

22.

+===

ULmax khi mu s min:

CCL

C ZZZUUR

= 0 ; 2pi +=

ULmin khi mu s max: 0 CUR

Khng c hai gi tr no cho UC bng nhau



UC theo L.

UCmax khi cng hng: RZUU

CL CC == max20 ;

1

;

0= 0 LL UZL

22

.00C

CCL

ZRZUUZL+

UC theo C ( )

1121)(

.

222

22

++

=

+===

CL

CL

C

CL

CCC

ZZ

ZZR

U

ZZZR

UZZUZIU

ULmax khi: RZRU

UZ

ZRZ LCL

LC

22

max

22

;+

=

+= ;

Khi : 2pi =+ RL v 2222 LRC UUUU ++=

Tn ti hai gi tr 21,CC 21 CC UU = . Khi :

021 2CCC =+

UC theo

1)2(

1

1.

222422

22

+=

+

===

LCCRCLU

C

CLR

UZZUZIU CCC

UCmax khi mu s min

2

21

2RCL

LC

= 22max 4

2CRLCR

ULUC

=

Tn ti hai gi tr 21, UC bng nhau. Khi

222

21 2 C =+

BIN THIN URL , URC THEO R

Cc cc tr

Gi tr cc i th minh ha Pha ca u v i



URL theo R ( )

22

2

22

22

21

.

L

CLC

CL

LRLRLRL

ZRZZZy

yU

ZZR

ZRUZ

ZUZIU

+

+=

=

+

+===

* URL khng ph thuc R: UUyZZ RLLC === 12

o hm 222 )(

)2(20'L

LCC

ZRZZRZ

y+

+= :

CL

LRL ZZ

ZUURy

=== 00'

*Nu CL

LRLRLLC ZZ

ZUUUUZZ

= min2

*Nu CL

LRLRLLC ZZ

ZUUUUZZ

=>< max2

Khng tn ti hai gi tr no URL bng nhau

URC theo R ( )

22

2

22

22

21

.

C

CLL

CL

CRCRCRC

ZRZZZy

yU

ZZR

ZRUZ

ZUZIU

+

+=

=

+

+===

* URC khng ph thuc R: UUyZZ RCCL === 12

o hm 222 )(

)2(20'C

CLL

ZRZZRZy

+

+= :

CL

CRC ZZ

ZUURy

=== 00'

*Nu CL

CRCRCCL ZZ

ZUUUUZZ

= min2

*Nu CL

CRCRCCL ZZ

ZUUUUZZ

=>< max2

Khng tn ti hai gi tr no URC bng nhau

BIN THIN URL theo L, URC THEO C



Cc cc tr Gi tr cc tr th minh ha URL theo L

( )22

2

22

22

21

.

L

CLC

CL

LRLRLRL

ZRZZZy

yU

ZZR

ZRUZ

ZUZIU

+

+=

=

+

+===

o hm y theo ZL: 222

22

)()(2

'

L

LCLC

ZRRZZZZy

+

=:

24

0'22

22 RZZZRZZZy CCLLCL+

==

K bng bin thin v v th ta c

Khi 2

4 22 RZZZ CCL

++= th

CCRL

ZRZURU

+=

22max 42

Khi ZL = 0 th 22min RZURUC

RL+

=

Khi UUZ RLL

Ta c bng bin thin (ly nghim dng, b nghim m)

ZL 0 2

4 22 RZZZ CCL

++=

+

Y - 0 + y

2

2

1RZC+ 1

Ymin URL

22 RZUR

C+ URLmax U

th minh ha

URC theo C ( )

22

2

22

22

21

.

C

CLL

CL

CRCRCRC

ZRZZZy

yU

ZZR

ZRUZ

ZUZIU

+

+=

=

+

+===

o hm y theo ZC: 22222

)()(2

'

C

LCCL

ZRRZZZZy

+

= :

24

0'22

22 RZZZRZZZy LLCLCC+

==

K bng bin thin v v th ta c

Khi 2

4 22 RZZZ LLC

++= th

LL

RCZRZ

URU+

=22max 4

2

Khi ZC = 0 th 22min RZURUL

RC+

=

Ta c bng bin thin (ly nghim dng, b nghim m)

ZL 0 2

4 22 RZZZ LLC

++=

+

Y - 0 + y

2

2

1RZL+ 1

Ymin URL

22 RZUR

L+ URCmax U

th minh ha



Khi UUZ RCC

Documents

Cong Thuc-Do Thi Dien Xoay Chieu