fucio block descripio Docume D: PRELMNARY VERSON
User s maual versio iformaio Versio Dae Modificaio Compiled by Prelimiary 30.10.009. Prelimiary versio, wihou echical iformaio Peri PRELMNARY VERSON /15
CONENS 1 Moor hermal proecio fucio...4 1.1 heory of he hermal replica calculaios...5 1.1.1 he hermal differeial equaio...5 1.1. he emperaure-ime fucio for cosa curre...5 1.1.3 Formulas for checkig he hermal proecio fucios...7 1.1.4 Numerical soluio of he hermal differeial equaio...9 1. Srucure of he moor hermal overload proecio... 10 1.3 Fourier calculaios (Fourier calculaios)... 11 1.4 Posiive sequece calculaio (Posiive sequece calculaio) ad egaive sequece calculaio (Negaive sequece calculaio)... 1 1.5 he emperaure calculaio ad decisio (hermal replica M)... 13 1.6 echical summary... 14 1.6.1 echical daa... 14 1.6. he parameers... 15 1.6.3 Biary oupu sigals... 15 1.6.4 Biary ipu saus sigals... 15 1.6.5 he fucio block... 15 PRELMNARY VERSON 3/15
1 Moor hermal proecio fucio Basically, he moor hermal proecio fucio measures he hree sampled phase curres. Posiive sequece ad egaive sequece basic harmoic compoes are calculaed. he emperaure calculaio is based o he weighed sum of he posiive ad egaive sequece compoes. he weighig facor is defied by he user applyig he required parameer seig R49M_NegScale_Par_ (Neg.Seq. scale). he purpose of weighig is o ake io cosideraio he icreased heaig of he roor due o iverse roaig (early double speed) egaive sequece mageic field. he seig allows wo differe hermal ime cosas o be cosidered: oe for he roaig sae (heaig) - R49M_p_Par_ (ime cosa) - ad oe for he sill sad (coolig), which is defied by parameer R49M_cp_Par_ (Coolig/Heaig) as a perceage of he heaig ime cosa. he emperaure calculaio is based o he sep-by-sep soluio of he hermal differeial equaio. his mehod yields overemperaure, meaig he emperaure above he ambie emperaure (of he evirome). Accordigly, he emperaure of he proeced objec is he sum of he calculaed overemperaure ad he ambie emperaure. he ambie emperaure ca be measured usig e.g. a emperaure probe geeraig elecric aalog sigals proporioal o he emperaure. he absece of such measureme, he emperaure of he evirome ca be se usig he dedicaed parameer R49M_Amb_Par_ (Ambie emperaure). he selecio bewee parameer value ad direc measureme is made by seig he biary parameer R49M_Ses_BPar_ (emperaure sesor). f he calculaed emperaure (calculaed overemperaure +ambie emperaure) is above he hreshold values, saus sigals are geeraed: R49M_Alm_Par_ (Alarm emperaure) R49M_rip_Par_ (rip emperaure) R49M_Ul_Par_ (Ulock emperaure) For correc seig, he followig values mus be measured ad se as parameers: R49M_om_Par_ R49M_Max_Par_ R49M_Ref_Par_ R49M_p_Par_ (Raed load curre: he measurig coiuous curre) (Raed emperaure: he seady sae emperaure a raed load curre) (Base emperaure: he emperaure of he evirome durig he measureme of he raed values) (ime cosa: separaely measured heaig/coolig ime cosa of he expoeial emperaure fucios.) Whe eergizig he proecio device, he algorihm permis he defiiio of he sarig emperaure as he iiial value of he calculaed emperaure: R49M_Sr_Par_ (Sarup erm.: iial emperaure above he emperaure of he evirome as compared o he raed emperaure above he emperaure of he evirome) he applicaio of hermal proecio of he moor is a beer soluio ha simple overcurrebased overload proecio because hermal proecio remembers he precedig load sae of he moor, cosequely, he seig of he hermal proecio does o eed such a high securiy margi bewee he permied curre ad he permied coiuous hermal curre of he moor. case of previous load saes ad i a broad rage of ambie emperaures his permis he beer exploiaio of he hermal ad cosequely curre carryig capaciy of he moor. PRELMNARY VERSON 4/15
1.1 heory of he hermal replica calculaios 1.1.1 he hermal differeial equaio he heory of solvig he hermal differeial equaio is described ad explaied i deail i a separae docume [ he hermal differeial equaio ]. he source of he formulas below is ha docume. he hermal differeial equaio o be solved is: d d 1 ( ( ) R ha ) (1) he defiiio of he hea ime cosa is: cm ha his differeial equaio: () R c m h A (RMS) heaig curre, he RMS value usually chages over ime; resisace of he moor; specific hea capaciy of he coducor; mass of he coducor; rise of he emperaure above he emperaure of he evirome; hea rasfer coefficie of he surface of he coducor; area of he surface of he coducor; ime. 1.1. he emperaure-ime fucio for cosa curre he soluio of he hermal differeial equaio for cosa curre is he emperaure as he fucio of ime. (he mahemaical derivaio of his equaio is described i a separae docume.) R ( ) 1 ha e o e () Remember ha he calculaio of he measurable emperaure is as follows: Where: emp_ambie is he ambie emperaure. emperaure() = Θ()+emp_ambie PRELMNARY VERSON 5/15
ha separae docume i is prove ha some more easily measurable parameers ca be iroduced isead of he aforemeioed oes. hus, he geeral form of equaio () is: ( ) H 1 ( ) e o e (3) where: H() is he hermal level of he heaed objec, his is he emperaure as a perceage of he Θ referece emperaure. (his is a dimesioless quaiy bu i ca also be expressed i a perceage form.) Θ is he referece emperaure above he emperaure of he evirome, which ca be measured i seady sae, i case of a coiuous referece curre. is he referece curre (ca be cosidered as he omial curre of he heaed objec). f i flows coiuously, he he referece emperaure ca be measured i seady sae. PRELMNARY VERSON 6/15
1.1.3 Formulas for checkig he hermal proecio fucios Equaio (3) offers a geeral formula o check he operaio of he hermal proecio usig cosa curre. he chages of emperaure over ime, (above he emperaure of he evirome), described by equaio (3), are ploed i he diagram below. Parameer of he idividual curves is he sarig emperaure as a perceage of he referece emperaure o. H() diagrams 1,6 1,4 1, 1 H 0,8 0,6 0,4 0 0, 0,4 0,6 0,8 1 1, 1,4 0, 0 0 0,5 1 1,5,5 3 3,5 4 4,5 5 5,5 6 / For furher ess, he ime eeded o reach a specific emperaure value ca be calculaed based o equaio (3). he derived formula wih relaive quaiies is: S o l (4) S se Where: S Θ se Θ o Θ is he seady sae emperaure i case of coiuous curre, is he momeary emperaure above he ambie emperaure; he ime o reach his is o be calculaed, is he sarig overemperaure, is he referece emperaure above he emperaure of he evirome, which ca be measured i seady sae, i case of a coiuous referece curre. PRELMNARY VERSON 7/15
o be able o compare he curre ime characerisics of he hermal proecio wih ha of he iverse characerisics, formula (4) ca be rearraged usig curres ad per ui quaiies: l se se 0 se 1 (5) where: o se is he coiuous curre ha resuls Θ o seady sae overemperaure a he begiig of he calculaio, is he curre ha is applied o reach he seady sae Θ S overemperaure, ( S ). is he seig curre of he overcurre fucio. he plos accordig o equaio (5) ca be see below. hey show how much ime is lef o reach he rip emperaure i case of a coiuous (RMS) curre. he parameer is he coiuous o curre relaed o he raed curre, which geeraes he seady sae sarig emperaure. he op-mos curve is he cold curve. he plos below clearly show ha he hermal replica mehod remembers he sarig emperaure. f he sarig emperaure (o pre-fauly seady sae curre) is icreased, he ime o rip a a faul curre / se >1 auomaically decreases. Characerisic curves 1,8 1,6 1,4 1, / 1 0,8 0,6 0,4 0, 0 0,1 0, 0,3 0,4 0,5 0,6 0,7 0,8 0,9 0 0 0,5 1 1,5,5 3 3,5 4 4,5 5 5,5 6 /se PRELMNARY VERSON 8/15
1.1.4 Numerical soluio of he hermal differeial equaio he formulas (-6) above refer o a cosa curre ad ca be used o es he hermal proecio. realiy, he RMS value of he curres chage over ime; cosequely, differeial equaio (1) mus be solved usig a umerical mehod. he separae docume explais he seps o obai he calculaio formula: H k k k 1 1 (6) where: Θ k Θ k is he emperaure (above he emperaure of he evirome) a he k-h calculaio sep; is he emperaure (above he emperaure of he evirome) oe calculaio sep before. (he user of he hermal proecio does o eed o apply formula (6) above.) PRELMNARY VERSON 9/15
1. Srucure of he moor hermal overload proecio Fig.1-1 shows he srucure of he moor hermal overload proecio (R49M) algorihm. Preparaio R49M L1 L L3 Ambie emperaure Fourier L1 Fourier L Fourier L3 Posiive sequece calculaio Negaive sequece calculaio hermal Replica_M Biary oupus Parameers Saus sigals Figure 1-1 Srucure of he moor hermal overload proecio algorihm For he preparaio phase: he ipus are he sampled values of hree primary phase curres, he oupus are he fudameal Fourier compoes of he posiive ad egaive sequece curres, calculaed usig he phase curres. For he hermal overload fucio: he ipus are he fudameal Fourier compoes of he posiive ad egaive sequece curres, calculaed usig he phase curres. he sigal proporioal o he ambie emperaure, parameers, saus sigals. he oupus are he biary oupu saus sigals. PRELMNARY VERSON 10/15
he sofware modules of he hermal overload proecio fucio: Fourier calculaios hese modules calculae he basic harmoic compoe values of he phase curres idividually. hese modules are o par of he hermal overload fucio; hey belog o he preparaory phase. Posiive sequece calculaio Negaive sequece calculaio hese modules calculae he posiive ad egaive sequece basic harmoic compoes of he phase curres. hese modules are o par of he hermal overload fucio; hey belog o he preparaory phase. hermal replica his module solves he firs order hermal differeial equaio usig a simple sep-by-sep mehod ad compares he calculaed emperaure o he values se by parameers. he followig descripio explais he deails of he idividual compoes. 1.3 Fourier calculaios (Fourier calculaios) hese modules calculae he basic harmoic compoe values of he phase curres idividually. hese modules are o par of he hermal overload fucio; hey belog o he preparaory phase. L1 L L3 Fourier calculaio s L1Four L Four L3 Four Figure 1- Pricipal scheme of he Fourier calculaio he ipus are he sampled values of he hree phase curres (L1, L, L3) he oupus are he basic Fourier compoes of he aalyzed curres (L1Four, LFour, L3Four). PRELMNARY VERSON 11/15
1.4 Posiive sequece calculaio (Posiive sequece calculaio) ad egaive sequece calculaio (Negaive sequece calculaio) hese modules calculae he posiive ad egaive sequece basic harmoic compoes of he phase curres. hese modules are o par of he hermal overload fucio; hey belog o he preparaory phase. L1 Four L Four L3 Four Posiive sequece calculaio 1Four L1 Four L Four L3 Four Negaive sequece calculaio Four Figure 1-3 Schema of he posiive ad egaive sequece compoe calculaio he ipus are he basic Fourier compoes of he aalyzed curres (L1Four, LFour, L3Four) he oupus are he posiive ad egaive sequece fudameal harmoic Fourier compoes of he phase curres. PRELMNARY VERSON 1/15
1.5 he emperaure calculaio ad decisio (hermal replica M) his module solves he firs order hermal differeial equaio usig a simple sep-by-sep mehod ad compares he calculaed emperaure o he values se by parameers. he ipus are: he posiive ad egaive sequece fudameal harmoic Fourier compoes of he phase curres, he value proporioal o he ambie emperaure (his sigal is opioal, defied a parameer seig), he basic Fourier compoes of he phase curres (L1Four, LFour, L3Four). hese values suppor he decisio abou he ruig (heaig) or sill-sad (coolig) sae of he moor, Biary ipu saus sigals, Parameers. he oupus are he saus sigals. hese idicae he geeraed rip commad if he emperaure is above he curre seig value. Aalog ipus Ambie emperaure Biary ipus hermal replica_m Biary oupus Parameers Figure 1-4 Pricipal scheme of he hermal replica calculaio Eumeraed parameer Parameer ame ile Selecio rage Defaul Parameer for mode of operaio R49M_Oper_EPar_ Operaio Off,Pulsed,Locked Pulsed able 1-1 he eumeraed parameers of he moor hermal proecio fucio he meaig of he eumeraed values is as follows: Off Pulsed Locked he fucio is swiched off; o oupu saus sigals are geeraed; he fucio geeraes a rip pulse if he calculaed emperaure exceeds he rip value he fucio geeraes a rip sigal if he calculaed emperaure exceeds he rip value. reses oly if he emperaure cools below he Ulock emperaure. PRELMNARY VERSON 13/15
eger parameers Parameer ame ile Ui Mi Max Sep Defaul Alarm emperaure R49M_Alm_Par_ Alarm emperaure deg 60 00 1 80 rip emperaure R49M_rip_Par_ rip emperaure deg 60 00 1 100 Raed emperaure R49M_Max_Par_ Raed emperaure deg 60 00 1 100 Base emperaure R49M_Ref_Par_ Base emperaure deg 0 40 1 5 Ulock emperaure R49M_Ul_Par_ Ulock emperaure deg 0 00 1 60 Ambie emperaure R49M_Amb_Par_ Ambie emperaure deg 0 40 1 5 Sarup emperaure R49M_Sr_Par Sarup emp. % 0 60 1 0 Raed LoadCurre R49M_om_Par_ Raed LoadCurre % 0 150 1 100 dle Curre R49M_mi_Par_ dle Curre % 1 30 1 5 ime cosa R49M_p_Par_ ime cosa mi 1 999 1 10 Coolig/Heaig R49M_cp_Par_ Coolig/Heaig % 100 400 1 00 Neg.Seq. scale R49M_NegScale_Par_ Neg.Seq. scale % 100 500 1 00 able 1- he ieger parameers of he moor hermal proecio fucio Boolea parameer Boolea parameer Sigal ile Selecio rage Defaul Parameer for ambie emperaure sesor applicaio emperaure R49M_Ses_BPar_ No, Yes No sesor able 1-3 he Boolea parameer of he moor hermal proecio fucio 1.6 echical summary 1.6.1 echical daa Fucio Effecive rage* Accuracy* *o be defied by ypes ess able 1-4 echical daa of he moor hermal proecio fucio PRELMNARY VERSON 14/15
1.6. he parameers he parameers are summarized i Chaper 1.5. 1.6.3 Biary oupu sigals he biary oupu saus sigals of he moor hermal proecio fucio are show i able 1-5. Biary oupu sigals Sigal ile Explaaio R49M_Alarm_Gr_ Alarm Alarm sigal of he moor hermal proecio fucio R49M_Ger_Gr_ Geeral rip Geeral rip sigal of he moor hermal proecio fucio R49M_Lock_Gr_ Reclose locked Moor resar blockig sigal of he moor hermal proecio fucio able 1-5 he biary oupu saus sigals of he moor hermal proecio fucio 1.6.4 Biary ipu saus sigals he moor hermal proecio fucio has wo biary ipu saus sigals. Oe of hem serves o disable he fucio; he oher oe reses he accumulaed hea. Reseig serves es purposes oly, if he heaig calculaio eeds o sar a a clearly defied emperaure. Usig his sigal, he esig egieer eed o wai uil he coolig reaches he required sarig emperaure of he subseque heaig es. Boh biary ipu saus sigals are defied by he user, applyig he graphic equaio edior. he biary ipu saus sigals of he moor hermal proecio fucio are show i able 1-6. Biary saus sigal R49M_Blk_GrO_ R49M_Rese_GrO_ Explaaio Oupu saus of a graphic equaio defied by he user o disable he moor hermal proecio fucio. Oupu saus of a graphic equaio defied by he user o rese he accumulaed hea ad se he emperaure o he defied value for he subseque heaig es procedure. able 1-6 he biary ipu sigals of he moor hermal proecio fucio 1.6.5 he fucio block he fucio block of he moor hermal proecio fucio is show i Figure 1-5. his block shows all biary ipu ad oupu saus sigals ha are applicable i he graphic equaio edior. Figure 1-5 he fucio block of he moor hermal proecio fucio PRELMNARY VERSON 15/15