02333 A new hybrid evolutionary strategy for reactive power dispatch

%uyEIado l.toqs E Ial3E Kpeaqe pamoqs aa"euIIo3Iad 30 l"auwsasse =ql 103 sl[nsaJ %u!leIado aq~ weId aql 30 a1nl!e3 u! pallnsa1 qa!qM paIInaao a%emEp ou po!Iad p!es aql %u!Ina ~ssauaw3 Bu!py~% pue lndq9noIql leoa ol pIe2aI ql!MKI[e!aadsa ‘l! u! paatqd suogelaadxa aql 118 pa&3[n3 "eql a10u1 seq ‘sInoq %u!leIado ~09 autos Ial3e ‘uI!aqllaA u! WlelS JaMod IasaM aql II? II!UI Sdm Mau aql 30 uoyeIado Ie3 OS ‘09+S ‘(6) ‘28 ‘ZOOZ‘+‘J.L’aMod 83,4 ‘10 lJ ‘M ‘Ws!NUne~ uo!WaS Jawod UJ!WI~A aw ~04 II!LU Sdw Mau w trc~zo/&o .palIodaI swql!Io%IE K.tGe"oyqoAa Iaqlo aql ol paredwos se suognaaxa MOD peal 30 Iaquzn" Iassal uaaa pue sluyls "oyfos 30 Iaqmn" ssal KlqeIap!suoa %"gen[eAa Kq suo~ln~os Iallaq ol sa%IaA"os S~H leqlMOqS slInsa1 asaq,3,"aIn$EIaly aq$ u! palIoda1 asoql qlypaIedruoa SlpaI aql pue auop s! S~H 30 Ougsal aarsualxx 'slyq alqe"osea1 II!ql!M a~\? sluauraI!nbaI leuogelndruoa leql OS suognaaxa MOU peal 30 IaquInu aql aanpa1 ols~~30 @sap aql u! aperu SF $10333 sno~%.uO3 V '(S& 1(8ale1$s kEuo!ln~oaa p!IqKq se ol paI1a3aI s! anbyqaal paAoIduy s!u 'uoyqos Iallaq E pul3 ol pue aaua8Iaauoa aql aAoIdur! 01 IapIo II! ~3 leuo!ypEIl aql ol pappe aIe sluauIaAoIdm! Iofeur atuos .(~a) BaleI~s hreuoynloaa uo paseq wa[qoId s!ql Ou!Alos 103 poqlaru M~U e sluasaId Iaded s!qL 'S~II~EI~SUO~K$qenbau! p"E Klqenba 30 Iaqunw e %U@.!leS a[!q~ ‘sl~uu[ aql U!qlFM sa%el[oA aql [[e daay pue sass01 uo!ss&~~e~l IaMod lea1 aql aZfur!"!tu ol se OS uoyeIaua% IaMod aapaeal aleaolle ol s! qsledslp Iafiod aAgaeaI30 wa[qoId aqA ‘0658 ‘(5) ‘S9 pue '8 'a 'sea ‘fooz

‘tpmasay

aA!peaJ

surars~~s .mwd

404 A6atew

~glJqg

A.4euognloAa

'3 ‘UeqpIeAled

qcqeds!p JaMod p!JqAq mau w EEEZO/CO

.sdes aa!Id alE!IdoIddE Iapun paanpa~ aq uea laedm! IaMod lay1eu1 leql s! uoyqauo~ aqL 'lapour aql30 uo!lEagdde [n~ssaaans aql Moqs salpnls ase3 waIoaq& uoyzz!uuldg lolaal\ IaysnL-uqnx aql uo pawq sdea aagd 30 luauraaIo3ua aql Iapun mnyqg!nba qseN pazgeIa"a% e pul) ol pasodoId s! mqlgo%pz uV .yro~lau [eagaafa ~30 alnleu Iyleds aql %u!luasaIdaI 103 pasn aIE suogenba MOU IaMod >a 'anssl aql ssaIppe ol auo lsIg aq$ SF Iaded s!qL 'uogelnuIIo3 des aa!Id Kue papnla"! 1ou aAeq slapour %uyEe9 luaIIna‘IaAaMoH +k~g~aporu %u!rue8 u! KlgEaI sg laaDa1 0~ SF dals ~ea$ol e ‘Vsn aql u! s$ayIaw &s!Ilaala le"o!%aI pale@aIap IeIaAas u! paaIo3ua ale sdea aa!Id leql laE3 aql "aA!t) warun8Ie aql u! puels e aye] ol pualu~ lo" saop Jaded s!qL .IaMod layIeur %u!dwep 103 ~00% aIe sdea aa!Id leql at&E saleaoApe al!qti sleuly y.uouo~a %UOIM puas KEw sdea aa!Id lEql anh sluauoddo .slaqIeuI KlgIlaala pale@!aIap II! paaIo3"a "aaq aA\eq leql sdes aa!Id "o aleqap paleaq uaaq seq aIaqL ~s~ay~eur KlyIlaala pale@aIap .103 sdea aagd ql!m lapou~ %u!uIe% 1Egeds e sluasald laded s!qL 'Lot-TOE ‘(P) ‘SZ ‘EOOZ

.palaa@a" aq ‘IeIaua% "!‘"ea sllnsa1 uf saauaIa33~p aql leql sMoqs slapour lEuIIaqlos! -uou pue lewaqlos~ aql30 sl[nsaI aqt 30 uosysduroa .aa"els!saI [[aa aql103 anlea pall!3 e Ou!sn uaqM %L'I ol paanpa1 sefiKauedaIas!p s!q~ '%E SEM lapour lea!Iarunu aql Kq a%elloa Ilaa palepyea pue paInseam aql uaamlaq KauEdaIas!p angeLa urnurycEuI aql .passnas!p SF [apow IeuIIaqlosyrou aql pue [aporn IemIaqlos! aqluroI3 slfnsa1 aql UaaAtlaq KauedaIas!p aql ‘aa!laeId u! pun03 syaels [laa pn3 aleuoqIEa "aqom leuIIaqlos!-uou 01 uogeaqdde 103 IapouI 1Eapawnu s!ql ssasse ol lap10 UI .saauEuIIo3Iad aql 30 uoyEuyIa$ap 103 suo!~Ela~ Iea!uIaqaoIlaa[a IemIaqlos! asn [apour Ilaa [an3 IecyKleue aql pue [apou~ lea!Iaurn" a[dtu!s aql qloa ~&~a~p~n $3[aa le padoIaAap K[sno!AaId SBM leql [apour [[aa [an3 IexlK[eue aq] ql!M paIedmoa aIE lapom aql 30 s$lnsa~ aql ‘&UOIIII~qlIn~ 'SpEO[ lUaIIn3 pUe SUOgEZygn Se8 SnOyA lE Sa8ellOA [[a3 palelna[ea aql ql!M sa%elloa [laa paInseat" [enlae aql Bu!Iedruoa Kq palen[EAa aIe IalameIed IeluauqIadxa slql Ou!uyIalap 103 spoqlaw OMJ, .IalauzeIed IEiuam!Iadxa Kluo aql se aauelysa1 [[aa aql sasn leql lapour p+amnu alduqs v 30 uo!l~ag!Iaa e sluasaId ala!lIe s!q~ ‘LOEZ-L6ZZ

0 11 e 40 fiulpa$ atweuiro#Jad Aq uIeJ6oJd 6u!$aaqs~o14 e u! 6z6zo/~o (apotu Ila3 ian4 le3!Jaumu aldw!s e )o uo!ae3!1!Jal\ 'asuap KI~A s! emseld aql asneaaq aa"eurIo3Iad IoleIa"a8 IleIaho aql uo palbalsau aq "~3 lsaga aql lnq ',rn/~m 00~ u! %uynsaI ‘611ea01 q8!q KIaa saruoaaq Ia3suE1l leaq aAgE!peI aql 'umopyEaIq apoyles-gal"! B"01ls u! 8"glnsaI wua~lsu~op l"aIIn3 "o~leIl"aa"os aql sz"!Iq 'pueq Iaqlo aql "0 ‘apoqles aql lo uo~le~luaauoa i"aIIn3 1eayaala aql le Bupf.10~ a3103 zluaIo7 aq= 'ufiopyea.tq apoue-Ial"! ~013 Iaj3ns lo" saop IolsIa"a8 luasaId aql q%noqlle 'ufiopyeaIq apoue-~a]"! aanp"! Kirur "o~lEIl"aa"oa l"aIIna Iea!Ilaa~a 30 lods aql lv Buqat? aa103 ZluaIo~ aqJ, 'aIaql Kl!~panp"oa q&q pue aInleIadural q&q UT %yllnsaI ‘apoqtea aql 30 a8pa ureaIls"mop aql pue apoue aql JO aspa uIeaIlsdn aql )e ~o~lEIl~aa~oa luaIIna 1Ea!Ilaala BuoIls e saanpu! laa33a IIeH %uoIls aql ‘(V 091 =I) peel l!n31!3 lloqs aql 30 asE3 aql UI .pau!e,qo aIE sqnsa1 %uyollo3 aqL 'poqlaur flaMxeK luaurala allug u!yIaIef> aql %uyn Kq paalos aIe suoyenba aql apqh ‘poqlaw aunqoa al!"!3 E Kq paa[os 1a3suE1l leaq aage~pe1 aql ql!~ auraqas %wqsyru!p uo!le!IEA Ielo3 lyduq ue ql!M payos am suogenba SZI~OJ~-ICI!AEN aqJ 'lunoaae ol"! uaysl s! uo!lE!pEI aa~ql luapuadap amy Kq aql aIaqM ‘sasKleue pglarunu IEuo!s"auup palpnls aIe IoleIaua% CJH~ ad.Q KepeIed e30 apoqleae pue apoue "E Ieau eluseld paz!uol Kl~EaM aql u! euaurouaqd leuo!suaru!p aalql aqL 'PZIZ-IIIZ ‘(El) ‘PP 'x ‘qolI pue 'K ‘EMeyfqsI '~00~ ~umua%aua,y

wam3

wa[qoId ~~JCJ aql 103 uo!lel -uawaldru! auy-lva1 u! poqlaru pasodoId aql30 Klq!qBdEa aql su~~guo~ uos!Iedruoa aq~ .AIaA!laadsaI ‘poqlaru sltyagaoa-g [euoguaauos aql pue poqlaur M O W peon 3V aql 30 leql Ia~o KaeInaae uoyqos pue Kl!p!deI uo!lelndmoa 30 aaelueape aql ~11~3~0~ poqlaru pasodoId aql ~1013 paulelqo sl[nsaI uo!lepwnS wIa]sKs snq-882 KuEduroD IaMod ue.w!eL aql uo palsal s! qaeoIdde pasodold aqL '[aporu MOD peal Da e "0 paseq suoyqos MOU auq uroI3 payelqo PIE sIow23 Klylyas aqL .saa"els!saI a"!~ pue 'SMOG awl ‘sIolae3 Kllyl!suas aql 30 swIal u! sso~ uo!ssys"eIl ~el"aruaIau! aql Kq palepnuIo3 s! xyem uwqoaef aA~leuIal~e aqL wI!eIlsuoa MOD am1 ql!m walqoId (ags) qsleds!p uo!ss!ura a!ruouoaa aql ayes ol pasodoId s! xyetu uwqoaef aA!lwIalle ue uo paseq poqlaru Uosqde~-UOlMaN laaI!p e ‘KpnlS SE-q1 "I 'L[p-, ,$7 ‘(5) ‘SZ 'EO()Z . SIUZ/S~~~.18.Mq p *a~~od~~3~~lJa~~~~~~~~no~~lnuo~rau~aru~ 'd-'[‘uaq3 pus 'a-.s‘uaqa waedw

uo!ss!rua

3!buouosa

uosqdetj-uow+aN

pagp

w

icczo/co

.po!Iad ~e?aK-01 E KJAO (8661 ‘sIellop sn uo![~!m e 3leq lnoqe) sosad uogpm 6~ lnoqe aIe pauIIo3Iad sEM dxI7 qa!qM uo Iapaa3 palaalas aql 103 s%u!Aes lsoa Ielol aq~ .sau!dd![!qd uIaqlnog aql u! 8ugeIado Kuedmoa &~$ln uoynq!I]s!p IaNd ,N"MO-IOlS3AU! Ue ‘(O~~Vd~~) '03 lq%g puE IaMOd ayaara UeKesea 103 uo!suEdxa Kllaedea Klddns ol saA!leuIalle aAgaa33a-lsoa a18 (aa) saaInosa1 palnqyyp leql s! Bu!pug Kay aql sIapaa3 uo!lnq!Ilslp le speol %"!~as 103 SuEId luaurlsaau! aql uo pasea .sau!ddyqd aqt 103 palmpuoz Kpn~s &IT) @weld aaInosa1 paleI%aly lEaof e 30 sllnsa1 aql slIoda1 Iaded s!qJ ‘OZL-I IL YL) ‘8~ ‘EOOZ ‘~~~J~Y II ‘3 ‘Koem*s P=E ‘s ‘v ‘YYW

a3rnosar

paler6aw!

ie3ol lo Apnw as63 v

Gu!uueid oEczo/co

pus uo~s.danuo~ ~Saq

JOJeJaUa6 aHw AepeJej 10 apoule3 pue apoue Jeau sppaia papppuo3 leuo!suauqp aarql 8zczo/go

5ainporu ak?p!lq-H 30 IaquIn" aql Bu!seaIsy Kq a%elloA UogeIado aql kpuedxa u! Klg!q!xaw seq pue ‘sIauIIo3sueIl Buydnoa lnoql~maug uo~ss~rus~1e1~aql u! pal~asu! Kpaanp aq "Ea~)sss pasodoId aqL .IoleIaua% aql pue au!1 uo~ss~msuEI~ ayl %u!pnpu! palsal puE l[!nq SEM adKloloId paleas e ‘uo!yzluawaldux~ aIEMpIEq 30 Kl!$q!sea3 aql u11!3uo3 ol IapIo III XXI~SKS IaMod snq-al!u!3u!-atnqaeu-au030 awl uo~ssymueIi ~3 ps1 aql u! pal~asu! SF 3s~~ aql leql %u!mnsse ‘c)sss pasodoId 30 uogEIado aql K$!Iaa ol padolaaap seM sapos &Jqz ql!M ~apolu uo!le~nur!s llelap V .aseqd qasa 103 says II! palaauuoa sa[npouI a%p~.lq-H

X!S 30 SlS!SUOD

I,D!qM

‘IWaAU!

a%p!Iq-H

pDpE3SE3

U O p%X-,

(3s~~) Iolesuadmoa sa!Ias snouoIqauKs agels e sasodoId Iaded s!q& ‘891-65, ‘(Z) ‘59 ‘EOOZ ‘I,JdLLWJ~ SUtJjS.~S .GAtOd 3JAlJa13 ‘10 j2 ‘8 ‘UEH

uo paseq lotesuadruoa

sayas

ratianui snouorymk

a6plrq-H wels

papease ~z&zo~&o

'OOE-O"Z/(O't)ld-(S'I)nV ‘Id %l," 0'1 SBM OOE -@z/l&(s'[)nV 103 uo!l!sodwoa leap! aqJ 'ld 30 lualuoa 8u~sEaIau! ql!MpaIaMO[SEMOOE-OUZ/ld-(S'I)nVIOJ 03 3O~eAOuI~II031(1~A~‘13a~as aql ‘OblM 0'1 IaAO SEM O()E-@IZ/(S'~)nV tIl unuqleld 30 lU91"03 aql "X,M‘I~A~MOH .paAoIdL"! SBM &!JqE]S S)! ‘()OE-@IZ/(S'~)nV 0) pappe 312M wnugeld 30 SlIIIlOIlII? ,,EUS IDI,,,, 'I, ,,SE DA0 SEM UleaIlS "0 alUll aql UaqMpaseaIaap Kpq%gsseM aaueurIo3Iadsl!‘3,og le Klaagaalas 03 aAoma1 ol ()oE-@Iz/(s'~)~V 103 uo~~e%~]saau~ IeluauIlIadxa snonuy~oa q 00s %ulIna '()~E-@Iz/(s'~)~V '&OI)E SEM aInlEIadural @u~a[ea (tap! aq$ leql paMoqs 03 30 IeAoruaI 103 aauewIo3Iad ouz/(sy)nV "o saInleIadma$ 8u!uyEa 30 laa33a aq= 'ou&'~)nV ‘guz u! 81~ 5.1 SBM nV 30 lualuoa tunmydo q leql paMoqs sllnsa1 aqL 'loPea pa‘, pX,3 I? U! palE%!lS9A"~ SEM SE8 qa!I ZH "lo13 03 30 leAOU91 UO~,Ep -!xo 3!1K[elea 103 aauEuuo3Iad I!aql pue ‘aInpaaoId uogelFd!aaIdoa e S"!sn paledaId SKIM slsK[elej ap~xo au!z ~10% 30 sa!Ias V ‘5181-5081

‘(11) ‘~9 ‘~00~ ~~~aurai%uvjq pm uo~smuo~ X8mg ‘1~ ia ‘r ‘heqz llao iant III uolwoiidde leiwatod JO) ap!xo yz uo pavoddns wAletec# p@kunuge~d JaAO 9ZEZOIEO se6 WJ ua6orpAq u! 03 40 uo!~ep!xo wlz~alas

S~SIZ~IOJ ‘sagddns ‘Icqod ‘sy~~ouoq ‘sa!lddns ‘Awed ‘squouo3a) uopq~yI pm Ajddns JaMod

(sw?~~Jo~

p!~Pal3

go