Energy Storage Devices

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Transcription:

Energy Srage Deces

Objece f ecure Descrbe The cnsrucn f an nducr Hw energy s sred n an nducr The elecrcal prperes f an nducr Relanshp beween lage, curren, and nducance; pwer; and energy Equalen nducance when a se f nducrs are n seres and n parallel

Inducrs Generally - cl f cnducng wre Usually wrapped arund a sld cre. If n cre s used, hen he nducr s sad hae an ar cre. hp://bzupages.cm/f3/energy-sred-nducr-uzma-nreen-grup6-par-6/

Symbls hp://www.allabucrcus.cm/l_/chp_5/.hml

Alernae Names fr Inducrs Reacr- nducr n a pwer grd Chke - desgned blck a parcular frequency whle allwng currens a lwer frequences r d.c. currens hrugh Cmmnly used n RF (rad frequency) crcury Cl - fen caed wh arnsh and/r wrapped wh nsulang ape prde addnal nsulan and secure hem n place A wndng s a cl wh aps (ermnals). Slend a hree dmensnal cl. Als used dene an elecrmagne where he magnec feld s generaed by curren flwng hrugh a rdal nducr.

Energy Srage The flw f curren hrugh an nducr creaes a magnec feld (rgh hand rule). B feld hp://en.wkbks.rg/wk/crcu_thery/muual_inducance If he curren flwng hrugh he nducr drps, he magnec feld wll als decrease and energy s released hrugh he generan f a curren.

Sgn Cnenn The sgn cnenn used wh an nducr s he same as fr a pwer dsspang dece. When curren flws n he pse sde f he lage acrss he nducr, s pse and he nducr s dsspang pwer. When he nducr releases energy back n he crcu, he sgn f he curren wll be negae.

Curren and Vlage Relanshps, nducance, has he uns f Henres (H) H V-s/A d d d

Pwer and Energy p w d d d d d

Inducrs Sres energy n an magnec feld creaed by he elecrc curren flwng hrugh. Inducr ppses change n curren flwng hrugh. Curren hrugh an nducr s cnnuus; lage can be dscnnuus. hp://www.rfcafe.cm/references/elecrcal/elecrcy%0- %0Basc%0Nay%0Tranng%0Curses/elecrcy%0-%0basc%0nay%0ranng%0curses%0-

Calculans f Fr a slend (rdal nducr) N µ A N µ µ r A N s he number f urns f wre A s he crss-secnal area f he rd n m. µ r s he relae permeably f he cre maeral µ s he acuum permeably (π 0-7 H/m) l s he lengh f he wre used wrap he rd n meers

Wre Unfrunaely, een bare wre has nducance. ln d ( 7 x0 )H d s he dameer f he wre n meers.

Prperes f an Inducr Acs lke an shr crcu a seady sae when cnneced a d.c. lage r curren surce. Curren hrugh an nducr mus be cnnuus There are n abrup changes he curren, bu here can be abrup changes n he lage acrss an nducr. An deal nducr des n dsspae energy, akes pwer frm he crcu when srng energy and reurns when dschargng.

Prperes f a Real Inducr Real nducrs d dsspae energy due resse lsses n he lengh f wre and capace cuplng beween urns f he wre.

Inducrs n Seres

eq fr Inducrs n Seres 3 eq 3 3 3 3 d d d d d d d d d d d d d d d d d d eq n n n

Inducrs n Parallel

eq fr Inducrs n Parallel ( ) ( ) ( ) ( ) [ ] 3 eq 3 3 3 3 d d d d d d d d d eq n n n

General Equans fr eq Seres Cmbnan If S nducrs are n seres, hen Parallel Cmbnan If P nducrs are n parallel, hen: S eq s s eq P p p

Summary Inducrs are energy srage deces. An deal nducr ac lke a shr crcu a seady sae when a DC lage r curren has been appled. The curren hrugh an nducr mus be a cnnuus funcn; he lage acrss an nducr can be dscnnuus. The equan fr equalen nducance fr nducrs n seres S eq s s nducrs n parallel eq P p p