ADAS706: Specific z excitation - process metastable and excited state populations

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1 ADAS706: Spcfc xctaton - pocss mtastabl an xct stat populatons Th pogam calculats xct stat an mtastabl stat populatons of a pa of aacnt ons of a slct lmnt n a plasma of spcf tmpatus an nsts by awng on funamntal ngy lvl an at coffcnt ata fom spcfc on fls of typ AD04. It s functonally smla to ADAS205 but s spcfcally sgn fo xamnaton of oubly xct populatons an satllt lns an os utls onsaton balanc nfomaton. Backgoun thoy: Ths s a nw co n ppaaton. Th followng thoy an ntactv wgt sgns a vlopmntal only. ons aacnt ons X, X 2 an X of th lmnt X. W a concn wth th populaton stuctu of th ons X an X as nflunc both by lcton mpact xctaton an by combnaton fom th stag abov. It s th latt pocss whch las to th msson of lctonc satllt lns Lt th lvls of th on X b spaat nto th mtastabl lvls X, nx by Gk ncs, an xct lvls X, nx by Roman ncs. Th collctv nam mtastabl stats as us h nclus th goun stat. Th vng mchansms cons fo populatng th xct lvls X a xctaton fom th mtastabl lvls X an combnaton fom th goun o mtastabl lvls of th aacnt on X. Th omnant populaton nsts of th ons n th plasma a thos of th lvls X an X, not by an spctvly. Thy, o at last th atos a assum known fom a ynamcal onsaton balanc. Th oth omnant populaton nsts n th plasma a th lcton nsty, th poton nsty p an th nutal hyogn nsty. Th xct populatons, not by, a assum to b n a uasstatc ulbum wth spct to th omnant populatons. Th pogam valuats th pnnc of th xct populatons on th omnant populatons wth ths assumpton. Lt not th numb of mtastabl lvls an not th numb of xct lvls. Unlk th stuaton of ADAS205, populatons of oubly xct stats a xplctly nclu n th populaton stuctu calculaton. aft sngly xct an oubly xct lvls a collctvly call onay lvls. Th statstcal balanc uatons tak th fom X,2, wh th omnant populatons xclung th lcton nsty hav bn takn to th ght han s. Th an a lmnts of th collsonal-aatv matx, s th f X lcton combnaton coffcnt ctly to th lvl an s th chag xchang combnaton coffcnt fom nutal hyogn to th lvl fom th mtastabl of th on X. Th lmnt of th collsonal-aatv matx s compos as A p p p wh A, an a th at coffcnts fo spontanous tanston, lcton nuc collsonal tanston an poton nuc collsonal tanston spctvly. ADAS Us manual hap ach 2003

2 ADAS Us manual hap ach 2003 I p p a A A < s th total loss at fom lvl, wth I th lcton mpact onsaton at coffcnt an a A th Aug at to th mtastabl of th on X. Ths s a nw tm whch s u fo th coct tatmnt of oubly xct populatons. Subv th st nto sngly xct stats S an th oubly xct stats D, so that S D. ot that D s a subst of all oubly xct stats '. o D an 0 < I wh I s th onsaton ngy of lvl latv to th fst contnuum nx, 0 a A n gnal fo som an wth th aatv combnaton coffcnt an th sonanc captu coffcnt. o o S an 0 > I wh I s th onsaton ngy of lvl latv to th fst contnuum nx, 0 a A an wth th aatv combnaton coffcnt an th patally summ lctonc combnaton coffcnt, that s, ' D ;, α. Ths stnctons a ncssay to avo oubl countng of lctonc combnaton vnts. Th soluton fo th onay populatons s X c xc X wh th xc, c an X a th ffctv contbutons to th xct populatons fom xctaton fom th mtastabls, fom f lcton captu an fom chag xchang combnaton fom nutal hyogn spctvly. All ths coffcnts pn on nsty as wll as tmpatu. Th actual populaton nsty of an onay lvl may b obtan fom thm whn th omnant populaton nsts a known. Th full statstcal ulbum of all th lvl populatons of th on X, that s of mtastabls as wll as onay lvls latv to mtastabls, may also b obtan fom th uatons X Substtuton of th uas-ulbum soluton fo th onay lvls, n , gvs X X Soluton of ths uatons gvs an xpsson fo th mtastabl populatons of th fom X c xc 8.6.7

3 Th ffctv contbutons to th mtastabl populaton nsts xclung th goun lvl a xpss latv to th goun populaton nsty. ot also that a full ulbum wth spct to th aacnt X on populaton nsty s not stablsh. Th ato / may b spcf abtaly n stablshng actual populaton nsts. Th mtastabl to goun factons n ulbum f only xctaton s nclu a th. Substtuton of n n n gvs th full statstcal ulbum xc populaton nsts fo th onay lvls n tms of th goun populaton nsty an aacnt on populaton nsty. xc xc X xc X c xc c Wth nsts, p an th atos / an / spcf, th full ulbum populaton nsts latv to th goun lvl populaton nsty may b comput. A smla st of populaton solutons may b obtan fo th on X. Ionsaton balanc: Euatons of th fom fo th onsaton stags X, X an X 2, X allow tmnaton of th onsaton balanc factons of th mtastabls of ach stag. Such ata s awn may b awn fom oth pats of th ADAS atabas. If th onsaton balanc ata awn s of th unsolv stag to stag fom thn ths must b factonat ov th mtastabls. Pcs onsaton balanc s not an ssntal ssu fo th psnt obctvs snc n gnal th ulbum s ynamc an w a smply usng th onsaton balanc as a fnc aganst whch to masu vatons. Souc ata : Th pogam opats on collctons of funamntal at coffcnt ata call spcfc on fls. Th allow gnal contnt, ogansaton an fomattng of ths fls s spcf n ADAS ata fomat AD04. Th scop of opaton of ADAS706 s tmn by th contnt of th spcfc on fl pocss. Th mnmum spcfcaton follows that scb fo ADAS205 howv to xplot th full capablts of ADAS706 to xamn msson fom oubly xct stats, sonanc captu an Aug ata must b nclu. Also, to allow subsunt xamnaton of satllt ln spcta n tal, xta lns call l-lns can b psnt n th AD04 fl. Ths gv th summ ffcts of satllt ln msson ung th lctonc pocss fo whch th oubly xct ntmat stats a not xplctly nclu n th st D. ADAS705 s spcfcally sgn to assst n th gnaton of th appopatly stuctu AD04 fls. ompoun fatu output: Th co ADAS205 cats a contou.pass fl fo tansf to th spctal ln ato agnostc co ADAS207. In ADAS806 a mo pcs spcfcaton of th output fl us. It s to b not that that th block of ata compsng th populaton solutons, onsaton balanc togth wth lvl ngs, spontanous msson coffcnts an l-lns comps all that s ncssay to pov a complt smulaton of th satllt ln spctal ntval. W call ths a compoun fatu wth an ADAS ata fomat spcfcaton accong to AD3. Ths a now achv n th ADAS atabas. Th pov th ncssay an suffcnt nput fo th satllt ln spctal ln ato co ADAS807 as wll as th compoun fatu fo th spcal fatu spctal fttng co ADAS604. Pogam stps: Ths a summas n fg ADAS Us manual hap ach 2003

4 !! gu 8.6 EJLQ 6W DGDQW SDLU RI VSLIL LRQ ILV 5DG DQG YULI\ QWU XVU VSLIL LRQ GDWD DQG!!! ILV VWLRQV 9ULI\ LRQLVDWLRQ EDDQ &DXDWSRSX DWLRQ GQVLWLVDQG VWDJ UDWLY DEXQGDQV USDW USDW 2XWSXW WDEV DQG JUDSKV QG 3USDU $' RPSRXQG IDWXU 'LVSD\ SRSXDWLRQ JUDSKV 6W WDEXDU DQG JUDSKLD RXWSXW RSWLRQV Intactv paamt commnts: Th fl slcton wnow has th appaanc shown blow ADAS 705 IPUT Ionsng Ion l Dtals :- Data oot /xpot/hom/aas/aas/af04 ntal ata Us ata Et Path am copsa#l/copsa#l_c#n4.at a Data l:... copsa#l_c#c3.at copsa#l_c#n4.at copsa#l_c#o5.at c Ions Ion l Dtals :- Data oot /xpot/hom/aas/aas/af04 ntal ata Us ata Et Path am b Data l: copsa#h/copsa#h_c#n5.at... copsa#h_c#c4.at copsa#h_c#n5.at copsa#h_c#o6.at Bows ommnts ancl Don. Two fls a slct cosponng to aacnt onsaton stags. Th upp sub-wnow s fo th onsng on. 2. Data oot a shows th full pathway to th appopat ata subctos. lck th ntal Data button to nst th fault cntal ADAS pathway to th coct ata typ. Th appopat ADAS ata fomat fo nput to ths pogam s AD04 spcfc on fls. lck th Us Data button to nst th pathway to you own ata. ot that you ata must b hl n a smla fl stuctu to cntal ADAS, but wth you ntf placng th fst aas, to us ths faclty. ADAS Us manual hap ach 2003

5 3. Th Data oot can b t ctly. lck th Et Path am button fst to pmt tng. 4. Avalabl sub-ctos a shown n th lag fl splay wnow. Scoll bas appa f th numb of nts xc th fl splay wnow s. 5. lck on a nam to slct t. Th slct nam appas n th small slcton wnow c abov th fl splay wnow. Thn ts sub-ctos n tun a splay n th fl splay wnow. Ultmatly th nvual atafls a psnt fo slcton. Datafls all hav th tmnaton.at. 6. Th scon ons on ata fl may b slct n lk mann at b. owv th co cats th xpct nam fo th fl at on th bass of th onsng on fl slct f t can. Ths automatc choc can b ov-n. 7. nc th scon ata fl s slct, th st of buttons at th bottom of th man wnow bcom actv. 8. lckng on th Bows ommnts button splays any nfomaton sto wth th slct atafl. It s mpotant to us ths faclty to fn out what s boaly avalabl n th atast. Th possblty of bowsng th commnts appas n th subsunt man wnow also. 9. lckng th Don button movs you fowa to th nxt wnow. lckng th ancl button taks you back to th pvous wnow Th pocssng optons wnow has th appaanc shown blow 0. Th wnow s an xtn vson of th pocssng optons wnow of ADAS205. ot that th a two slct ata fls not at th top of th wnow an ths can b spaatly bows.. Sub-wnows at a an b allow tabl nty of tmpatus an nsts. ommon sts a us fo both ons. 2. o th tmpatu wnow a, clck on th Et Tabl button to opn up th tabl to. Th tng opatons a as scb n th ntouctoy chapt. ot that th s a st of nput lcton tmpatus fom th slct fl. Ths ncat th saf ang of tmpatus f xtapolaton s to b avo. ot that altng unts whch must b on wth th tabl t wnow actvat convts th nput valus an ntpts th output valus n th slct unts. It os not convt output valus alay typ n. Dfault Tmpatus a nst n th slct unts on clckng th appopat button. ot that th on an nutal hyogn tmpatus a only us f such collsonal ata s psnt n th nput AD04 fl. 3. Th nsts tabl s hanl n lk mann. ot that n ths cas th a no nput nsty valus. Thus unt changng only affcts th ntptaton of th output valus cat by th us. Th / an / a only us f nutal hyogn chag xchang ata an f lcton combnaton ata a psnt n nput AD04 fl. Ths ato vctos a spcf at ach lcton nsty so th ato vctos an lcton nsty vcto a of th sam lngth. That s a mol s spcf. By contast th output lcton tmpatus a npnnt so that fnal calculat populatons a obtan at ponts of a twomnsonal lcton tmpatu/lcton nsty g. 4. At c, clck th appopat button to swtch btwn th two ons. Th subwnows at an chang accongly allowng npnnt chocs of mtastabls an acton slctons. 5. Th tastabl Stat Slctons button pops up a wnow nxng all th ngy lvls. Actvat th buttons oppost lvls whch you wsh tat as mtastabls. S th man ADAS USER anual fo a tal xplanaton of th hanlng of mtastabls n th collsonal-aatv pctu. ADAS Us manual hap ach 2003

6 Ttl fo Run Tmpatus Inx Elcton Ion utal Input yogn Valu 5.000E E E E E E E E E05.000E05.000E E E05.500E05.500E05.000E E E E E05 ADAS705 PRESSIG PTIS Data fl nams : /xpot/hom/aas/aas/af04/copsa#l/copsa#l_c#n4.atbows commnts a /xpot/hom/aas/aas/af04/copsa#l/copsa#l_c#n5.at Bows commnts b Dnsts Inx Elcton Ion /E / Dnsts Dnsts Rato Rato.000E E E E E Tmpatu Unts : Klvn Dnsty Unts : cm-3 Et Tabl Et Tabl Dfault Tmpatus Dfault Dnsts ucla hag :7 Ion hag 5 Ion hag 6 c tastabl Stats 2s2 S 0.0 Slctons Racton Slcton Poton Impact ollsons Scal Poton Impact fo Zff f Ent Z-ffctv fo ollsons Rcombnaton Ionsaton Rats utal hag Exchang Elcton Exchang 6W,RQLVDWLRQ DQG 5RPELQDWLRQ 'DWDVWV 'DWD URRW SDDJVDGDVDGDVDGI &QWUD GDWD 8VU GDWD GLW 3DWK DP 'DWD <DU PQW J ancl Don K 6. Vaous pocsss, supplmntay to th pmay lcton xctaton collsons an boun-boun aatv tanstons, a actvat as s by clckng on th appopat buttons. ot agan ths only hav an ffct f such ata s psnt n th AD04 fl xcpt fo Ionsaton ats. Ths actvats onsaton out of xct stats an s obtan by an ntnal calculaton of ths ats n th EIP appoxmaton. Wanng-onsaton shoul not b swtch on f you hav nclu autoonsng lvls n you AD04 atast but hav omtt th tals of altnatv thshols tc psnt n avanc AD04 fls. 7. Poton collsons may b psnt n th AD04 fl. If so, ths at coffcnts may b scal to psnt a mxtu of oth chag poctls wth a man Z- ffctv f. 8. At g, th oot path to th combnaton an onsaton ata fo th onsaton balanc s spcf. Th patcula typ of balanc s slct by ya numb an by th lmnt symbol at h. ot that avalabal ata may b of th solv o stag to stag typ. If th populaton stuctu calculatons a st up as mtastabl solv an th onsaton balanc chosn s unsolv, th balanc s plt btwn matstabls statstcally. Th output optons wnow has th appaanc shown blow 9. As n th pvous wnow, th full pathway to th fl bng analys s shown fo nfomaton. Also th Bows commnts button s avalabl. ADAS Us manual hap ach 2003

7 20. Gaphcal splay s actvat by th Gaphcal utput button a. Ths wll caus a gaph to b splay followng complton of ths wnow. Whn gaphcal splay s actv, an abtay ttl may b nt whch appas on th top ln of th splay gaph. By fault, gaph scalng s aust to match th u outputs. Pss th Explct Scalng button b to allow xplct mnma an maxma fo th gaph axs to b nst. Actvatng ths button maks th mnmum an maxmum boxs tabl. 2. a copy s actvat by th Enabl a opy button c. Th l nam box thn bcoms tabl. If th output gaphc fl alay xts an th Rplac button has not bn actvat, a pop-up wnow ssus a wanng. 22. A choc of output gaph plottng vcs s gvn n th Dvc lst wnow. lckng on th u vc slcts t. It appas n th slcton wnow abov th Dvc lst wnow. 23. Th Txt utput button actvats wtng to a txt output fl. Th fl nam may b nt n th tabl l nam box whn Txt utput s on. Th fault fl nam pap.txt may b st by pssng th button Dfault fl nam. A pop-up wnow ssus a wanng f th fl alay xsts an th Rplac button has not bn actvat. ADAS705 UTPUT PTIS Data fl nams : /xpot/hom/aas/aas/af04/copsa#l/copsa#l_c#n4.at Bows commnts /xpot/hom/aas/aas/af04/copsa#l/copsa#l_c#n5.at Bows commnts a Gaphcal utput Gaph Ttl gu Dfault Dvc Post-scpt Explct Scalng X-mn : Y-mn : X-max : Y-max : Post-scpt P-PL P-GL Enabl a opy Rplac l nam : gaph.ps Txt utput Rplac Dfault fl nam b l nam : pap.txt ompoun fatu output Rplac Dfault fl nam c l nam : ancl aas705_af3.pass Don 24. Th ompoun fatu output button b shoul b actvat to wt th passng fl fo us by th agnostc ln ato pogam ADAS807. Th fl s fomatt accong to ADAS ata fomat AD3 an s sut fo ct nty to th spctal ln ato co ADAS807 an th spctal fttng co ADAS Th gaph s splay n a followng Gaphcal utput whn th Don button s pss. ADAS Us manual hap ach 2003

8 26. Th gaph has at ts foot a Don button, an possbly xt an Pvous buttons f th s a sunc of gaphs to b splay. A Pnt button s also psnt f th Enabl a opy button on th pvous wnow was actvat. 27. Pss th xt button to show th nxt gaph n a sunc an th Pvous button to show th pvous gaph. 28. Pss th Pnt button to mak a ha copy of th cuntly splay pctu. 29. Pssng th Don button stos th pvous utput ptons wnow. Illustaton: gu 8.6a. Tabl 8.6a ots: ADAS Us manual hap ach 2003

Load Equations. So let s look at a single machine connected to an infinite bus, as illustrated in Fig. 1 below.

Load Equations. So let s look at a single machine connected to an infinite bus, as illustrated in Fig. 1 below. oa Euatons Thoughout all of chapt 4, ou focus s on th machn tslf, thfo w wll only pfom a y smpl tatmnt of th ntwok n o to s a complt mol. W o that h, but alz that w wll tun to ths ssu n Chapt 9. So lt