Розробка та дослідження алгоритмів в АСУ ТП МБРЗ, що підвищують вихід корисного при безперервній розливці сталі: Автореф. дис… канд. техн. наук / В.

I?i?noa?noai i?iieneiai? iie?oeee
Oe?a?ie

Iaoeiai-ae?iaie/a
ei?ii?aoe?y

«EE?ANUeEEE ?INOEOOO AAOIIAOEEE»

EAIEAI Aieiaeeie? Ion?eiae/

OAeE 658.012.011.56:621.746.047

?IC?IAEA OA AeINE?AeAEAIIss

AEAI?EOI?A A ANO OI IA?C, UI I?AeAEUOTHOUe
AEO?Ae

EI?ENIIAI I?E AACIA?A?AI?E ?ICEEAOe? NOAE?

05.13.07 – Aaoiiaoecaoe?y oaoiieia?/ieo i?ioean?a

A a o i ? a o a ? a o

aeena?oaoe?? ia caeiaoooy iaoeiaiai nooiaiy

eaiaeeaeaoa oaoi?/ieo iaoe

Ee?a 1999

Aeena?oaoe??th ? ?oeiien.

?iaioa aeeiiaia o iaoeiai-ae?iaie/?e ei?ii?aoe?? “Ee?anueeee ?inoeooo
aaoiiaoeee”

I?i?noa?noaa i?iieneiai? iie?oeee Oe?a?ie.

Iaoeiaee ea??aiee — aeieoi? oaoi?/ieo iaoe, noa?oee iaoeiaee
ni?a?ia?oiee

AIAOOAANUeEEE Aieiaeeie?
Nayoineaaiae/,

caa. eaai?aoi???th IAE “Ee?anueeee
?inoeooo aaoiiaoeee”.

Io?oe?ei? iiiiaioe: — aeieoi? oaoi?/ieo iaoe, i?ioani?

NIAIE?A Na?a?e Eocueie/,

caa. eaai?aoi???th IAE “Ee?anueeee
?inoeooo aaoiiaoeee”.

— eaiaeeaeao oaoi?/ieo iaoe

AA?AIIA Nayoineaa Ieaenaiae?iae/,

noa?oee iaoeiaee ni?a?ia?oiee Oeaio?o oaeia?ieo

ia/enethaaeueieo nenoai ?inoeoooo e?aa?iaoeee ?i.Aeooeiaa

IAIO.

I?ia?aeia onoaiiaa — Ee?anueeee aea?aeaaiee oaoi?/iee oi?aa?neoao
aoae?aieoeoaa ?

a?o?oaeoo?e.

Caoeno a?aeaoaeaoueny 20 aeiaoiy 1999 ?ieo i
13 aiaeei? ia can?aeaii? niaoe?ae?ciaaii? a/aii? ?aaee E 26.818.01
IAE “Ee?anueeee ?inoeooo aaoiiaoeee” ca aae?anith: 254107, Ee?a-107,
aoe. Iaa??ia, 22.

C aeena?oaoe??th iiaeia iciaeiieoeny o a?ae?ioaoe? IAE “Ee?anueeee
?inoeooo aaoiiaoeee”.

Aaoi?aoa?ao ?ic?neaiee 17.09. 1999 ?ieo.

A/aiee nae?aoa?

niaoe?ae?ciaaii? a/aii? ?aaee

eaiaeeaeao oaoi?/ieo iaoe
E. I. O?iiueei

CAAAEUeIA OA?AEOA?ENOEEA ?IAIOE

Aeooaeuei?noue. ?icaeoie /i?ii? iaoaeo?a?? a?eueoino? e?a?i a
inoaii?e /an aecia/a?oueny c?inoath/ei aeei?enoaiiyi aacia?a?aii?
?iceeaee noae?. A 1996 ?ioe? ia Oe?a?i? aoei a?aeeeoi 3,2 iei. o
noae?, ui noaiiaeoue aeecueei 10% a?ae na?oiaiai ?? ae?iaieoeoaa. Ca?ac
ia iaoaeo?a?eieo caaiaeao Oe?a?ie ? a?n?i iaoei aacia?a?aii? ?iceeaee
caaioiaie (IA?C). A uia aeiei??iii ?aoi?ioaaoe /i?io iaoaeo?a?th Oe?a?ie
oa aeaanoe ?? ia ??aaiue ia?aaeiaeo ?iaeono??aeueieo e?a?i, ia
iaoaeo?a?eieo caaiaeao Oe?a?ie a iaeaeeae/ee /an iaiao?aeii caoaeoaaoe
35 iaoei aacia?a?aii? ?iceeaee caaioiaie ??cieo oei?a.

I?aeoe/ii an? IA?C, ui i?aoeththoue c na?aaeeie a?n?iaeanyoeo
?ie?a, iathoue aenieee ??aaiue aaoiiaoecaoe?? ? eiii’thoa?io nenoaio
eiio?ieth oa oi?aae?iiy oaoiieia?/iei i?ioeanii.

Na?aae caaea/ aaoiiaoeciaaiiai oi?aae?iiy IA?C iniaeeaa i?noea
caeiathoue caaea/? ?ice?ith aacia?a?aiiai ceeaea ? oi?aae?iiy
caeeth/iith oacith ?iceeaee, iniaeeai ia aaaaoino?oieiaeo IA?C.

Iaiao?aei?noue iioei?caoe?? ?ice?ith ceeaea aeieea? i?e
ooai?aii? a aacia?a?aiiio ceeaeo aeaoaeoieo ae?eyiie, oae caaieo
“iiyn?a”, ye? iaiao?aeii aeeo/eoe c aacia?a?aiiai ceeaea i?e io?eiaii?
caaioiaie. Oni?oia ??oaiiy oe??? caaea/? aeicaiey? ca?eueoeoe aeo?ae
ei?eniiai iaoaeo.

A caeeth/i?e oac? ?iceeaee ia aaaaoino?oieiaeo IA?C aeieea?
caaea/a i?i?i?caoe?? noia?ieo iai??ieo caeeoe?a ceeaea, ye? aeieeathoue
iai?ee?ioe? ?iceeaee ia an?o no?oieao. Oni?oiee ?ica’ycie oe??? caaea/?
oaeiae aeicaiey? i?aeaeueoe aeo?ae ei?eniiai.

Iiaeaia aeena?oaoe?eia ?iaioa i?enay/aia oaeineiiaeaiith
aaoiiaoeciaaiiai oi?aae?iiy iaoeiaie aacia?a?aii? ?iceeaee noae? a
?acoeueoao? iioeiaeueiiai ?ica’yceo cacia/aieo caaea/.

Aeooaeuei?noue ia?aii? oaiaoeee iaoiiaeth?oueny oe?ieei
aeei?enoaiiyi aacia?a?aii? ?iceeaee a ?iaeono??aeueii ?icaeiaieo
e?a?iao ? iaiao?aei?noth aaaaeaiiy a ae?th aeineoue aaeeei? e?eueeino?
iaoei aacia?a?aii? ?iceeaee noae? ia iaoaeo?a?eieo caaiaeao Oe?a?ie a
iaeaeeae/ee /an. A oaeiae c?inoath/eie aeiiaaie aei aeiiii?/ieo
iieaciee?a oaoiieia?/ieo i?ioean?a a /i?i?e iaoaeo?a?? oa a?aenooi?noth
a oaoi?/i?e e?oa?aoo?? aeineoue iiaieo ?acoeueoao?a a /anoei? ?ic?iaee
aeai?eoi?a iioei?caoe?? ?ice?ith ceeaea oa iioei?caoe?? oi?aae?iiy
cae?i/aiiyi ?iceeaee a ANO OI IA?C.

?iaioa aeeiioaaeanue ca?aeii c ieaiaie IAeI? NAO (i.
Aei?i?iiao?ianuee) ? oaiaeaie ia ?ic?iaeo ? aaaaeaiiy a ae?th nenoai
aaoiiaoeciaaiiai oi?aae?iiy iaoeiaie aacia?a?aii? ?iceeaee caaioiaie
Eociaoeueeiai iaoaeo?a?eiiai eiia?iaoo ?i. A. ?. Eai?ia oa
Aei?i?ianueeiai iaoaeo?a?eiiai eiia?iaoo ?i. O. A. Aeca?aeeinueeiai.

?ic?iaeo ? aaaaeaiiy a ae?th ANO OI IA?C eiia?iaoo ?i.
Aeca?aeeinueeiai aeeiiaii ?acii c o??iith Oano — Aeuei?ia (Aano??y).

Ia’?eoii aeine?aeaeaiiy yaeythoueny nenoaie aaoiiaoeciaaiiai
oi?aae?iiy IA?C, a oaeiae iiaeeeaino? no/anieo oaoi?/ieo cania?a
aei??thaaiiy oa ia/enethaaiiy, ui aeei?enoiaothoueny aeey ?o noai?aiiy.

I?aaeiaoii aeine?aeaeaiiy ? aeai?eoie iioei?caoe?? ?ice?ith
aacia?a?aiiai ceeaea oa aeai?eoie iioei?caoe?? oi?aae?iiy caeeth/iith
oacith ?iceeaee ia iaeii- oa aaaaoino?oieiaeo IA?C.

Oe?eue ?iaioe iieyaa? a i?aeaeuaii? aoaeoeaiino?
aaoiiaoeciaaiiai oi?aae?iiy iaoeiaie aacia?a?aii? ?iceeaee noae? ca
?aooiie ciaioaiiy iai??ieo caeeoe?a ceeaea oa i?aeaeuaiiy aeoiaeo
ei?eniiai i?e aeieeiaii? a aacia?a?aiiio ceeaeo, oae caaieo «iiyn?a» ?
i?e cae?i/aii? ?iceeaee ia IA?C.

Iaoith aeine?aeaeaiue aoee ?ic?iaea ? aeine?aeaeaiiy aeai?eoi?a
iioei?caoe?? ?ice?ith ceeaea i?e ??cieo niiniaao caaeaiiy iiaeeeaeo
aeiaaeei caaioiaie ? aeai?eoi?a iioei?caoe?? oi?aae?iiy cae?i/aiiyi
?iceeaee ia IA?C o aeiaaeeao iiaeeeaino? io?eiaiiy caaioiaie ??cii?
aeiaaeeie.

Iaoeiaa iiaecia ?iaioe iieyaa? a oiio, ui aeine?aeaeai?
iiaeeeaino? io?eiaiiy ei?enieo aacia?a?aiieeoeo caaioiaie ??cii?
aeiaaeeie oa aia?oa iaea?aeaii aeai?eoi iioei?caoe?? ?ice?ith
aacia?a?aiieeoiai ceeaea o aeiaaeeo caaeaiiy aeae?eueeio i??ieo aeiaaeei
c aeiioneaie. Aia?oa iaea?aeaii aeai?eoi iioei?caoe?? oi?aae?iiy
cae?i/aiiyi ?iceeaee ia aaaaoino?oieia?e IA?C o aeiaaeeo iiaeeeaino?
io?eiaiiy caaioiaie ??cii? aeiaaeeie, a oaeiae iiaeeo?eaoeeth oeueiai
aeai?eoio c o?aooaaiiyi iaiao?aeiino? ia?oi/a?aiaiai ia?ae?eooy e?aei?o
no?oie?a iai?ee?ioe? ?iceeaee. Oaeineiiaeaii niin?a aei??thaaiiy
aeiaaeeie aacia?a?aiiai ceeaea o aeiaaeeo aeei?enoaiiy aeey
aei??thaaiiy aeiaaeeie ceeaea ?iioeueniiai aeao/eea, ?icoaoiaaiiai ia
aaeo ee?oee, ui oyaia ceeaie. Oaeineiiaeaii niin?a oi?aae?iiy
cae?i/aiiyi ?iceeaee ia iaeiino?oieia?e IA?C o aeiaaeeo iiaeeeaiai
io?eiaiiy caaioiaie i??ii? oa e?aoii? aeiaaeeie. Oaeineiiaeaii niin?a
ae??caiiy «iiyn?a» ?c aacia?a?aiiai ceeaea a i?ioean? ?iceeaee.

Ia caoeno aeiinyoueny:

Niin?a i?aeaeuaiiy oi/iino? aei??thaaiiy aeiaaeeie ceeaea o
IA?C c o?aooaaiiyi ca?eueoaiiy aeiaaeeie ceeaea, ui aeieea? a
?acoeueoao? caeaaeaiiy ceeaea a ee?oeao.

Aeai?eoi iioei?caoe?? ?ice?ith aacia?a?aiiai ceeaea o aeiaaeeo
caaeaiiy aeae?eueeio i??ieo aeiaaeei c aeiioneaie.

Aeai?eoi iioei?caoe?? oi?aae?iiy cae?i/aiiyi ?iceeaee ia
aaaaoino?oieia?e IA?C ? iiaeeo?eaoe?y oeueiai aeai?eoio o aeiaaeeo
iaiao?aeiino? ia?oi/a?aiaiai ia?ae?eooy e?aei?o no?oie?a.

Niin?a io?eiaiiy i??ieo oa e?aoieo caaioiaie ia iaeiino?oieia?e
IA?C ia- i?ee?ioe? ?iceeaee.

Niin?a aaoiiaoe/iiai oi?aae?iiy ae??coaaiiyi (iaae??coaaiiyi)
«iiyn?a» ?c aacia?a?aiiai ceeaea a i?ioean? ?iceeaee.

Aeinoia??i?noue ?acoeueoao?a ia?aa??yeanue oeyoii eiio?ieueieo
aei??thaaiue aeiaaeei io?eiaieo caaioiaie oa aeine?aeaeaiiyi
?acoeueoao?a aeeiiaiiy ?ic?iaeaieo aeai?eoi?a a oiiaao ae?th/eo IA?C.

I?aeoe/ia oe?ii?noue oa ?acoeueoaoe ai?iaaaeaeaiiy ?iaioe
iieyaathoue a iaa?oiooaaii? iiaeeeaino? aeei?enoaiiy ?ic?iaeaieo
aeai?eoi?a o neeaae? aeai?eoi?/iiai caaacia/aiiy ANO OI IA?C, aeeiiaieo
ia aac? no/anieo i?ia?aiiaaieo eia?/ieo eiio?iea??a, oa ?ic?iaoe?
i?ia?ai ia iia? Oo?ai-N, ui aeicaiey? aeine?aeaeoaaoe yoaeoeai?noue
?ic?iaeaieo aeai?eoi?a.

Niin?a i?aeaeuaiiy oi/iino? aei??thaaiiy aeiaaeeie
aacia?a?aiieeoiai ceeaea aoa aeei?enoaiee a ANO OI IA?C Eociaoeueeiai
iaoaeo?a?eiiai eiia?iaoo, ui aoea aaaaeaia aei ae?? a 1990 ?ioe?.
Aeai?eoie iioei?caoe?? ?ice?ith aacia?a?aiiai ceeaea ? iioei?caoe??
oi?aae?iiy cae?i/aiiyi ?iceeaee ia aaaaoino?oieia?e IA?C i?ieoee ?nieoe
a oiiaao IA?C Aei?i?ianueeiai iaoaeo?a?eiiai eiia?iaoo. Ca ?acoeueoaoaie
oeeo ?nieo?a i?eeiyoi ??oaiiy i?i aeeth/aiiy aeacaieo aeai?eoi?a aei
neeaaeo ae?th/i? ANO OI IA?C.

Iniaenoei aianeii caeiaoaa/a ? ?ic?iaea oa aeine?aeaeaiiy
aeacaieo aeai?eoi?a, a oaeiae aaciina?aaeiy o/anoue o i?iaeooaaii? oa
aaiae? a ae?th ANO OI IA?C Eociaoeueeiai oa Aei?i?ianueeiai
iaoaeo?a?eieo eiia?iao?a.

Ai?iaaoe?y ?iaioe. Iniiai? iieiaeaiiy aeena?oaoe?eii? ?iaioe
aeiiia?aeaeenue ia iaoeiai — oaoi?/i?e eiioa?aioe?? «I?iaeaie
aaoiiaoecaoe?? iaoaeo?a?? Oe?a?ie» (ANO IAOAEO?A?ss — 95, Ee?a,
1995?.), I’yoi? oe?a?inueei? eiioa?aioe?? “Aaoiiaoeea-98” (Ee?a,
1998?.), iaoeiaiio nai?ia?? IAE «Ee?anueeee ?inoeooo aaoiiaoeee» oa
??/ieo iaoeiaeo nai?ia?ao AIAeI? NAO (Iineaa, 97,98 ??.).

Ioae?eaoe??. Ca oaiith aeena?oaoe?? ? a?n?i ioae?eaoe?e, o oiio
/ene? i’youe noaoae a iaoeiai-oaoi?/ieo aeo?iaeao ? ca??ieeao.

Iiaecia oaoi?/ieo ??oaiue, ui cai?iiiiiaaii o aeena?oaoe??,
i?aeoaa?aeaeaia aeaiia iaoaioaie Oe?a?ie oa iaeiei aaoi?nueeei
na?aeioeoaii N?N?.

No?oeoo?a oa ia’?i ?iaioe. Aeena?oaoe?y neeaaea?oueny ?c
anooio, i’yoe ?icae?e?a, aeniiae?a, nieneo aeei?enoaieo aeaea?ae c 97
iaeiaioaaiue oa aeiaeaoe?a ? i?noeoue (aac aeiaeaoe?a) 115 noi??iie
iaoeiiieniiai oaenoo, 7 oaaeeoeue ? 8 ?enoie?a.

INIIAIEE CI?NO ?IAIOE

O anooi? aeaii iaa?oiooaaiiy aeooaeueiino? caaea/, ui
?icaeyaeathoueny o aeena?oaoe??, aecia/aii iaoo oa caaea/?
aeine?aeaeaiiy, i?eaaaeaii ?acoeueoaoe, ye? aeiinyoueny ia caoeno.

O ia?oiio ?icae?e? iaaaaeaii iniiai? caaea/? ii oi?aae?iith
iaoeiaie aacia?a?aii? ?iceeaee caaioiaie (IA?C) ? iniiai? iai?yiee
no/anieo aeine?aeaeaiue, ye? aeeiiothoueny a aaeoc? aaoiiaoecaoe??
aacia?a?aii? ?iceeaee noae?. Aeeiiaii iaeyae e?oa?aoo?e oa iaa?oioiaaii
iaiao?aei?noue ??oaiiy caaea/, iinoaaeaieo o aeena?oaoe??. Ia i?eeeaaeao
IA?C Eociaoeueeiai oa Aei?i?ianueeiai iaoaeo?a?eieo eiia?iao?a aeaii
ioe?ieo iiaeeeaino? ca?eueoaiiy aeoiaeo ei?eniiai i?e i?aeaeuaii?
oi/iino? aei??thaaiiy aeiaaeeie aacia?a?aiiai ceeaea, iioeiaeueiiio
??oaii? caaea/ ?ice?ith ceeaea oa oi?aae?iiy cae?i/aiiyi ?iceeaee ia
aaaaoino?oieia?e IA?C. Iaaaaeaia iaoiaeeea aei??thaaiiy aeiaaeeie
caaioiaie, ui io?eiothoueny .

O ae?oaiio ?icae?e? ?icaeyiooi niin?a i?aeaeuaiiy oi/iino?
aei??thaaiiy aeiaaeeie aacia?a?aiiai ceeaea i?e aeei?enoaii? aeey
aei??thaaiiy aeiaaeeie ?iioeueniiai aeao/eea, yeee ?icoaoiaaii ia aaeo
i?eaiaea ee?oee, ui oyaia ceeaie. I?aeaeuaiiy oi/iino? aei??thaaiiy
aeinyaa?oueny a ?acoeueoao? o?aooaaiiy iiaeiaaeaiiy ceeaea, yea aeieea?
i?e caeaaeaii? ceeaea a ee?oeao.

Iioi/io i??io aeiaaeeio caaioiaie i?iiiio?oueny aecia/aoe ia
iniia? ianooiiiai ae?aco

Liio = Laei x Kiiae ,
(1)

aea Liio – iioi/ia aeiaaeeia caaioiaee; Laei — aeiaaeeia caaioiaee,
yea io?eio?oueny ia iniia? iieac?a aeao/eea aeiaaeeie ceeaea; Kiiae –
caaaeueiee eiao?oe??io iiaeiaaeaiiy ceeaea.

Caaaeueiee eiao?oe??io iiaeiaaeaiiy ceeaea aecia/a?oueny ?c
ni?aa?aeiioaiiy

Kiiae = (1 + K1) x (1 + K2) x … x (1 + Kn) ,
(2)

aea n — e?euee?noue oyaio/eo ee?oie IA?C; K1, K2,…,Kn — eiao?oe??ioe
iiaeiaaeaiiy, ye? aeeeeeai? caeaaeaiiyi ceeaea a eiaei?e ?c oyaio/eo
ee?oie.

I?e oeueiio a?aoiao?oueny caaaeueia caeaaeaiiy ceeaea ii
a?aeiioaiith aei ee?oee, ia ye?e onoaiiaeaii aeao/ee aeiaaeeie.

Eiaeiee ?c eiao?oe??io?a iiaeiaaeaiiy Ki ( i = 1,2,…n )
aeineoue oi/ii iiaeia aecia/eoe ?c ni?aa?aeiioaiiy :

Ki = ai x di + bi ,
(3)

aea di – a?aeiioaiiy ??cieoe? ?icoeeo aaee?a iiia?aaeiuei? ? aeaii?
oyaio/eo ee?oie aei ?icoeeo aaee?a aeaii? ee?oee (caeaaeaiiy a aeai?e
ee?ooe?); ai, bi – aii???/i? eiao?oe?aioe.

Cai?iiiiiaaiee niin?a i?aeaeuaiiy oi/iino? aei??thaaiiy
aeiaaeeie ceeaea aoa aeei?enoaiee i?e oi?aae?ii? ??ceith ceeaea a ANO OI
IA?C Eociaoeueeiai iaoaeo?a?eiiai eiia?iaoo. I?e oeueiio i?aeaeuaiiy
aeoiaeo ei?eniiai ca ?aooiie ca?eueoaiiy oi/iino? ??co neeaei 1,17%.

?icaeyiooi oaeiae niin?a aaoiiaoe/iiai oi?aae?iiy ae??caiiyi
(iaae??caiiyi) «iiyn?a» o aacia?a?aiiio ceeaeo a i?ioean? ?iceeaee i?e
aeei?enoaii? aeey ??ca ceeaea iaoei aaciai? ??cee. Niin?a iieyaa? a
iino?eiiio eiio?ie? a i?ioean? ae??caiiy “iiyno” iiaeeeaino? iiaa?iaiiy
iaoeie aaciai? ??cee a ii/aoeiaa iieiaeaiiy aei ne?aeoth/iai ??co.

A o?aoueiio ?icae?e? ?icaeyiooi caaea/o iioeiaeueiiai ?ice?ith
aacia?a?aiieeoiai ceeaea.

sseui aeai?eoie iioeiaeueiiai ?ice?ith aeey aeiaaee?a caaeaiiy
aeiionoeieo aeiaaeei caaioiaie o aeaeyae? aeae?eueeio o?eniaaieo
aeiaaeei aai iaeiiai ae?aiaciio aeiaaeei a?aeii?, oi ?icaeyaea?oueny
aeai?eoi iioeiaeueiiai ?ice?ith aeey caaeaiiy aeiionoeieo aeiaaeei
caaioiaie o aeaeyae? aeae?eueeio ae?aiacii?a c i??i?eoaoaie, ui ia
ia?aoeiathoueny.

Aeey oi?ioethaaiiy iinoaiiaee caaea/? aaaaeaii ianooii?
iicia/aiiy:

n — e?euee?noue ae?aiacii?a aeiionoeieo aeiaaeei caaioiaie;

l imin — i?i?iaeueia aeiaaeeia caaioiaee o i — io ae?aiacii? ( i =
1,2,…,n );

l imax — iaeneiaeueia aeiaaeeia caaioiaee o i — io ae?aiacii? ( i =
1,2,…,n );

L?ice — aeiaaeeia ceeaea, yeo iaiao?aeii ?ice?i?oe;

d — oiaueia ??co (i?e aeei?enoaii? aeey ??co ceeaea iiaeeoeue aai iaoeie
?iioeuenii? ??cee d = 0, i?e aeei?enoaii? IA? d > 0, ? aeey
iaea?aeaiiy aeniei? oi/iino? ?ice?ith a oeueiio aeiaaeeo aaee/eio d
iaiao?aeii a?aoiaoaaoe).

A i?eeiyoeo iicia/aiiyo caaea/o i?i iioei?caoe?th ?ice?ith aeey
oeueiai aeiaaeeo iiaeeeai noi?ioethaaoe oaeei /eiii:

i?i?i?coaaoe

n

(N) =L?ice — Ni ( li + d ) ; N = N1, N2,…, Nn .
(4)

i =1

i?e iaiaaeaiiyo

n

Ni ( li + d ) L?ice ;
(5)

i =1

l imin li l imax (i = 1,…, n );
(6)

Ni 0.
(7)

Caaea/a (4)…(7) ca nai?i oi?ioethaaiiyi ciai? noiaea ia
caaea/o oe?ei/eneiaiai e?i?eiiai i?ia?aioaaiiy. Aea ?noioii
a?ae??ciy?oueny oei, ui eiao?oe??ioe e?i?eii? oi?ie, ui i?i?i?co?oueny
— oaeiae iaa?aeii?, a aeacai? eeoa ae?aiaciie ?o ci?ie. ?ica’ycie oe???
caaea/? iiaeeeai io?eiaoe iaoiaeaie oe?ei/eneiaiai e?i?eiiai
i?ia?aioaaiiy. Aeey oeueiai, iai?eeeaae, eiaeiee ?c a?ae??ce?a [limin ,
limax] iiaeia ?icaeoe ia aeaiaioa?i? ?ioa?aaee oa ?icaeyaeaoe eiaeiee li
o eiaeiiio c oeeo ?ioa?aae?a. Aeey oiai uia ia «i?inei/eoe» iioeiaeueia
??oaiiy, eiaeiee ?c oaeeo ?ioa?aae?a iiaeiai iaoe aeiaaeeio ia a?eueoo,
i?ae i?eeiyoa iaeeieoey aei??thaaiiy aeiaaeeie. I/aaeaeii, ui i?e oaeiio
i?aeoiae? iaeia caaea/a (4)…(7) ?iciaaeaoueny ia aeoaea aaaaoi caaea/
oe?ei/eneiaiai e?i?eiiai i?ia?aioaaiiy, ??oaiiy eiaeii? c yeeo aeineoue
neeaaeia. E??i oiai, i?e ?ica’ycoaaii? caaea/? (4)…(7) ye caaea/?
oe?ei/eneiaiai e?i?eiiai i?ia?aioaaiiy, iai?eeeaae, ca aeiiiiiaith
aeai?eoia Aiii??, iaiiaeeeai a?aooaaoe i??i?eoaoe ae?aiacii?a caaeaieo
aeiaaeei.

Ana aeeeaaeaia aeua ? i?eaaei aei iaiao?aeiino? ?ic?iaee
niaoe?aeueiiai eiia?iaoi?iiai aeai?eoio aeey ??oaiiy caaea/? (4)…(7).

?iaioa cai?iiiiiaaiiai aeai?eoio iniiaaia ia aeei?enoaii?
ianooiieo aeaio e?eoa???a aaca?aeoiaeiino? ?ice?ith (8) e (9)

N = L?ice lmin ; N lmax L ?ice ,
(8)

aea [L?ice lmin] icia/a? iia?aoe?th ciaoiaeaeaiiy iaeneiaeueiiai
oe?eiai /enea, yea iaioa aai aei??aith? L?ice lmin.

N1 l1min + … + Nn l nmin L ?ice N1 l1max + … + Nn l
nmax . (9)

E?eoa??e (8) a?aeiiee ? aeei?enoiao?oueny aeey ia?aa??ee
iiaeeeaino? aaca?aeoiaeiiai

?ice?ith ceeaea a naiiio i??i?eoaoiiio ae?aiacii? aeiionoeieo aeiaaeei,
a e?eoa??e (9) aeei?enoiao?oueny a aeai?eoi? aeey aecia/aiiy iiaeeeaino?
aaca?aeoiaeiiai ?ice?ith ceeaea a aeae?eueeio ae?aiaciiao aeiionoeieo
aeiaaeei caaioiaie.

A aeai?eoi? iine?aeiaii ia?aa??y?oueny iiaeeea?noue
aaca?aeoiaeiiai ?ice?ith c iaeneiaeueii iiaeeeaith e?euee?noth caaioiaie
a?eueo i??i?eoaoieo ae?aiacii?a.

sseui i?e oaeiio ?icaeyae? aa??aioo aaca?aeoiaeiiai ?ice?ith ia
ciaeaeaii, oi e?euee?noue caaioiaie ia?aaeinoaiiueiai ae?aiaciio ii
iaei?e ciaioo?oueny aei ioey. I?ney eiaeiiai ciaioaiiy aecia/a?oueny
iiaeeea?noue aaca?aeoiaeiiai ?ice?ith.

I?e a?aenooiino? aaca?aeoiaeiiai ?ice?ith a oaeiio ?ac? ia
iaeeieoeth ciaiueoo?oueny e?euee?noue caaioiaie ianooiiiai ii c?inoaiith
i?ei?eoao?a ae?aiaciio. ? aanue aeuacaaaeaiee i?ioean iiaoi?th?oueny. ?
oaeei /eiii, i?iaeiaaeo?oueny aei ae?aiaciio c iaeaeuei i??i?eoaoii.

I?e ciaoiaeaeaii? aa??aioo aaca?aeoiaeiiai ?ice?ith nii/aoeo
aecia/a?oueny e?euee?noue caaioiaie c eiaeiiai ae?aiaciio, a iio?i
aeiaaeeie caaioiaie. I?e oeueiio an? caaioiaee eiaeiiai ae?aiaciio
iathoue iaeiaeiao aeiaaeeio . Aeai?eoi iiaoaeiaaii oaeei /eiii, ui
iaeneiaeueii iiaeeea? aeiaaeeie io?eiothoue caaioiaee, ye?
a?aeiinyoueny aei a?eueo i??i?eoaoieo ae?aiacii?a.

sseui i?e iine?aeiaiiio ia?aaeyae? an?o aa??aio?a, aa??aioo
aaca?aeoiaeiiai ?ice?ith ia ciaeaeaii, oi ye ??oaiiy caaea/? (4)…(7)
i?eeiathoue aa??aio c i?i?iaeueiei caeeo- eii. I?e oeueiio
ia?aaaaa iaaea?oueny aa??aioo, ui i?noeoue a?eueoo e?euee?noue
caaioiaie a?eueo i??i?eoaoieo ae?aiacii?a.

I?iaaaeai? a oiiaao oanoeno?oieiaeo aethiiaeo IA?C
eiiaa?oi?iiai oeaoo Aei?i?ianueeiai iaoaeo?a?eiiai eiia?iaoo
aeine?aeaeaiiy ?ic?iaeaiiai aeai?eoio iieacaee iiaeeea?noue ca?eueoaiiy
aeoiaeo ei?eniiai iaoaeeo ia 0,93% ca ?aooiie ciaioaiiy iai??ieo
caeeoe?a ceeaea i?e aeaeaeaii? c aacia?a?aiiai ceeaea “iiyn?a”.

Aeey ia?aa??ee iiaeeeaino? aeei?enoaiiy aeaiiai aeai?eoia a
nenoaiao aaciai? aaoiiaoecaoe?? IA?C, ui ?aae?cothoueny ia aac?
i?ia?aiiaaieo eia?/ieo eiio?iea??a, aoee aeeiiai? eiio?ieuei? i?iaiie
aeai?eoia ia eiio?iea?? PLC 5/30 o??ie Allen — Bradley (NOA).

Iaea?aeai? ?acoeueoaoe aeathoue ciiao noaa?aeoaaoe i?i ?aaeuei?
iiaeeeaino? aeei?enoaiiy aeaiiai aeai?eoio a nenoaiao aaciai?
aaoiiaoecaoe?? IA?C, ui iiaoaeiaai? ia aac? no/anieo i?ia?aiiaaieo
eia?/ieo eiio?iea??a.

O ?icae?e? 4 ?icaeyiooi iaoiaee iioei?caoe?? oi?aae?iiy
cae?i/aiiyi ?iceeaee aeey iaeii- ? aaaaoino?oieiaeo IA?C.

Aeey iaeiino?oieiaeo IA?C iioei?caoe?y oi?aae?iiy cae?i/aiiyi
?iceeaee o aeiaaeeo iiaeeeaino? io?eiaiiy ei?enieo caaioiaie ??cii?
aeiaaeeie neeaaea?oueny c aecia/aiiy a iiiaio cae?i/aiiy eeooy iaoaeo
?c noaeaeeaiiai eiaoa iioeiaeueiiai ?ice??eiiai ieaio aeey noia?ii?
aeiaaeeie ceeaea, ui i?noeoue no?oiie, ? ceeaea, ui io?eia?ouey c
iaoaeo, ui i?noeoueny a i?ii?aeiiio eiao?, oa ianooiiiai io?eiaiiy
caaioiaie a?aeiia?aeii? aeiaaeeie.

Aeey aaaaoino?oieiaeo IA?C iioeiecaoe?y oi?aae?iiy cae?i/aiiyi
?iceeaee, ie??i i?i?i?caoe?? noia?ieo iai??ieo caeeoe?a ceeaea,
aeeth/a? oaeiae ? i?i?i?caoe?th /ano ?iaioe IA?C a caeeth/iiio ia??iae?
?iceeaee. sseui ?ai?oa aoei iieacaii iiaeeea?noue io?eiaiiy
iioeiaeueiiai ?ice?ieiiai ieaio aeey ??cieo niinia?a caaeaiiy
aeiionoeieo aeiaaeei caaioiaie, oi a iiaeaeueoiio aoaeaii ?icaeyaeaoe
o?eueee caaea/o i?i?i?caoe?? caaaeueiiai /ano ?iceeaee ia IA?C.

Aeey iinoaiiaee caaea/? iioei?caoe?? oi?aae?iiy cae?i/aiiyi
?iceeaee aeey aaaaoino?oieiai? IA?C iio??ai? oae? iicia/aiiy:

m — e?euee?noue no?oie?a IA?C, ui i?aoeththoue i?e cae?i/aii? ?iceeaee ;

n – e?euee?noue ?ioa?aae?a aeiionoeieo aeiaaeei caaioiaie;

L i – aeiaaeeia ceeaea ia i –io no?oieo (i = 1,2,…, m );

Vi — oaeaee?noue ?iceeaee ia i -io no?oieo;

Lie – aeiaaeeia ceeaea, yeee iiaeeeai io?eiaoe c iaoaeo, ui i?noeoueny a
i?ii?aeiiio eiao?;

j — aeiaaeeia caaioiaee j -ai oeio (j = 1,2,…,n );

Nj — e?euee?noue caaioiaie j -ai oeio, ui io?eiothoue iai?ee?ioe?
?iceeaee a noi? c on?o no?oie?a;

Nij — e?euee?noue caaioiaie j -ai oeio, ui io?eiothoue iai?ee?ioe?
?iceeaee ia i — io no?oieo.

I/aaeaeii, ui aeiaaeeia, yeo o?aaa ?ice?i?oe, aoaea aecia/aia
caeaaei?noth

m

Lcaa = L ie + L i .
(10)

i=1

Iaoae iioeiaeueiee ?ice?ieiee ieai aeey aeiaaeeie Lcaa aoaea

m n

Lcaa = Nij l j + d ,
(11)

i=1 j=1

aea d -iai??iee caeeoie ceeaea.

Iicia/eii aeiaaeeio ceeaea, yea io?eio?oueny c iaoaeo, ui
ciaoiaeeoueny a i?ii?aeiiio eiao? ? aea? aaca?aeoiaeiee ?ice??e –
L*ie. Oiae?

L ie = L*ie + d
(12)

*an ?iaioe i -ai no?oiea iai?ee?ioe? ?iceeaee, oiaoi /an aei
i?eieiaiiy iinoa/aiiy iaoaeo ?c i?ii?aeiiai eiaoa a e?enoae?caoi? i
-ai no?oiea, a i?eeiyoeo iicia/aiiyo aoaea aecia/aoeny ae?acii:

n

ti = ( Nij lj – Li ) / V i ,
(13)

j=1

aea ti — /an ?iaioe i -ai no?oiea iai?ee?ioe? ?iceeaee.

Oaia? caaea/o i?i i?i?i?caoe?th caaaeueiiai /ano ?iceeaee ia
IA?C iiaeia caienaoe oaeei /eiii:

i?i?i?coaaoe

T (N) = max ti ,
(14)

i

i?e iaiaaeaiiyo:

m

Nij = Nj ;
(15)

i =1

n

Nij lj Lj ;
(16)

j =1

Nij 0
(17)

A caaea/? (14)…(17) ia a?aoiao?oueny caeeoie d o
aeiaaeeo a?aenooiino? aa??aioo aaca?aeoiaeiiai ?ice?ith. Aea a oeueiio
aeiaaeeo iiaeia oiiaii aaaaeaoe d caaioiaeith n+1 – ai ae?aiaciio.
I/aaeaeii, ui Nn+1 = 1. Oiaoi ? a aeiaaeeo ?ice?ith c caeeoeii caaea/a
caiaeeoueny aei aeaeo (14)…(17).

Caaea/a (14)…(17) ia e?i?eia e ia iioeea, oiio aoaeaii
canoiniaoaaoe aeey ?? ?ica’yceo iaoiaee aeeiai?/iiai i?ia?aioaaiiy, ye?
canoiniaothoue aeey oe?ieiai eeano iioei?caoe?eieo caaea/ aac
iaiaaeaiue ia oei ooieoe?? oe?e?. Aeey ??oaiiy iiaeaii? caaea/? aoaeaii
aeei?enoiaoaaoe aeai?eoi cai?ioii? i?iaiiee.

?aeo?aioi? ni?aa?aeiioaiiy aeeiai?/iiai i?ia?aioaaiiy aeey
caaea/? (14)…(17) iiaeia caienaoe a ianooiiiio aeaeyae?:

n

fm ( Ym) = (( zm j l j — L m) / V m ) ;

j=1

(18)

n

zmj l j L m

j=1

oa

n

fk ( Yk) = min max ( zk j l j — L k) / V k , f k+1 (
Yk — Z k ) ;

Zkj Ykj j=1

n
(19)

zk j l j L k

j=1

I/aaeaeii, ui Y1 =N1,N2,…,Nn

Ia’?i ia/eneaiue (e?euee?noue aeiionoeieo aa??aio?a), ui
aeeiio?oueny ia eiaeiiio aoai? ?ica’yceo caaea/? (18), (19), iiaeia
nooo?ai ciaioeoe, yeui a?aooaaoe ianooiia i??eoaaiiy. Noia?ia aeiaaeeia
ceeae?a, ui ?iciiae?eythoueny ia yoaiao m, m — 1,…,k, iiaeiia aooe ia
iaioa ye noia aeiaaeei no?oie?a m, m — 1,…,k, ? ia a?eueoa i?ae oey
noia iethn aeiaaeeia ceeaea, yeee io?eia?oueny c iaoaeo, ui i?noeoueny a
i?ii?aeiiio eiao?. A i?eeiyoeo iicia/aiiyo oea iiaeia caienaoe oae

m n m

Lnk + Li ykj l j Li
(20)

i=k j=1 i=k

Iniaeeaee aeiaaeie c oi/ee ci?o iioei?caoe?? oi?aae?iiy
cae?i/aiiyi ?iceeaee i?aaenoaaeythoue niaith aaaaoino?oieia? IA?C, o
yeeo i?e cae?i/aii? ?iceeaee a ia?oo /a?ao iaiao?aeii i?eieieoe
iinoa/aiiy iaoaeo c i?ii?aeiiai eiaoa a e?aei? no?oiee. Iae/ano?oa oea
oanoe- ? a?eueo no?oieia? IA?C.

?ica’ycie caaea/? (14)…(17) ? a oeueiio aeiaaeeo iiaeia
io?eiaoe, ei?enooth/enue ?aeo?aioieie ni?aa?aeiioaiiyie aeeiai?/iiai
i?ia?aioaaiiy.

Aeine?aeaeaiiy ?ic?iaeaiiai aeai?eoia, ye? aoee i?iaaaeai? a
oiiaao oanoe-no?oieiaeo aethiiaeo IA?C eiiaa?oi?iiai oeaoo
Aei?i?ianueeiai iaoaeo?a?eiiai eiia?iaoo ?i. Aeca?aeeinueeiai, iieacaee
iiaeeeaino? ca?eueoaiiy aeoiaeo ei?eniiai ca ?aooiie nei?i/aiiy iai??ieo
caeeoe?a ceeaea iai?ee?ioe? ?iceeaee a na?aaeiueiio ia 0,3% ? nei?i/aiiy
/ano caeeth/ii? oace ?iceeaee a na?aaeiueiio ia 27%.

O ?icae?e? 5 ?icaeyiooi no/ani? oaiaeaioe?? noai?aiiy ANO OI
IA?C ? iiaeeeaino? ?aae?caoe?? ?ic?iaeaieo aeai?eoi?a.

A?aecia/a?oueny, ui oaia??oiueiai /ano ye caei?aeiii?, oae ?
a?o/eciyi? o??ie-ae?iaieee iaeaaeiaiiy oa nenoai aaoiiaoecaoe?? IA?C
i?eeoee aei ?aeeii? eiioeaioe?? i?e noai?aii? a?o?oaeoo?e ANO OI IA?C.

Oey eiioeaioe?y oaea.

Nenoaie aaoiiaoe/iiai eiio?ieth oa oi?aae?iiy IA?C aoaeothoueny
ii caaaeueiii?eeiyoiio aeai??aiaaiio i?eioeeio.

Aei neeaaeo ia?oiai ??aiy (aaciai? aaoiiaoecaoe??) aoiaeyoue:

eiio?ieueii – aei??thaaeueia aia?aoo?a;

eieaeuei? nenoaie eiio?ieth oa oi?aae?iiy;

i?ia?aiiaai? eia?/i? eiio?iea?e (PLC) c ?iciiae?eueiith no?oeoo?ith;

iia?aoi?nuee? noaioe?? ia aac? IAII.

Aei neeaaeo ae?oaiai ??aiy aaoiiaoecaoe??, ye i?aaeei,
aoiaeeoue oi?aaeyth/a i?i?- aai i?e?i – AII c aeineoue aaeeeith
e?euee?noth ia?eoa??eiiai onoaoeoaaiiy.

?ic?iaeai? a iiaeai?e ?iaio? aeai?eoie iiaeooue aooe
?aae?ciaai? c oi/ee ci?o iiaeeeainoae no/anieo cania?a aei??thaaiiy.

?ic?iaeaiee aeai?eoi iioeiaeueiiai ?ice?ith ceeaea ia IA?C
iiaea aooe ?aae?ciaaii a ?aieao ia?oiai ??aiy nenoai aaoiiaoecaoe??
IA?C, iiaoaeiaaieo ia no/anieo i?ia?aiiaaieo eia?/ieo eiio?iea?ao
na?aaeiuei? iiaeeeaino? .

?ic?iaeaiee aeai?eoi iioei?caoe?? oi?aae?iiy cae?i/aiiyi
?iceeaee ia aaaaoino?oieiaeo I?EC iiaea aooe ?aae?ciaaii a ?aieao
ia?oiai ??aiy nenoai aaoiiaoecaoe?? IA?C o?eueee o aeiaaeeo aeei?enoaiiy
i?ia?aiiaaiiai eia?/iiai eiio?iea?a, ui ia? iiaeeea?noue i?aai?caoe??
ia?a?eaaiiy i?ia?aie.

AENIIAEE

A ?acoeueoao? aeeiiaieo a iiaeai?e aeena?oaoe?ei?e ?iaio?
aeine?aeaeaiue io?eiaii ianooii? ?acoeueoaoe:

1. ?ic?iaeaii iaoiae i?aeaeuaiiy oi/iino? aei??thaaiiy
aeiaaeeie aacia?a?aiieeoiai ceeaea i?e aeei?enoaii? aeey aei??thaaiiy
aeiaaeeie ceeaea ?iioeueniiai aeao/eea, ui anoaiiaeth?oueny ia aae?
i?eaiaea oyaio/eo ee?oie. I?aeaeuaiiy oi/iino? aei??thaaiiy aeiaaeeie
ceeaea aeinyaa?oueny c o?aooaaiiyi iiaeiaaeaiiy ceeaea, ui aeieea? a
?acoeueoao? caeaaeaiiy ceeaea a oyaio/eo ee?oeao. ?ic?iaeaiee iaoiae
aoei aeei?enoaii a ANO OI IA?C Eociaoeueeiai iaoaeo?a?eiiai eiia?iaoo ?
aeaei iiaeeea?noue aeinyaoe aeniei? oi/iino? aaoiiaoe/iiai oi?aae?iiy
??cii ceeaea. I?aeaeuaiiy aeoiaeo ei?eniiai a ?acoeueoao? aaoiiaoe/iiai
oi?aae?iiy ii??ceie ceeaea neeaei 1,17%.

2. ?ic?iaeaii niin?a aaoiiaoe/iiai oi?aae?iiy ae??caiiyi
(iaae??caiiyi) «iiyn?a» o aacia?a?aiiio ceeaeo a i?ioean? ?iceeaee i?e
aeei?enoaii? aeey ??ca ceeaea iaoei aaciai? ??cee. Niin?a iieyaa? a
iino?eiiio eiio?ie? a i?ioean? ae??caiiy “iiyno” iiaeeeaino? iiaa?iaiiy
iaoei aaciai? ??cee a ii/aoeiaa iieiaeaiiy aei ii/aoeo ianooiiiai ??co ?
aeicaiey? aeinyaaoe iaeneiaeueii iiaeeeaiai ia?a??caiiy ceeaea aac
ciaiueoaiiy oaeaeeino? eeooy.

3. ?ic?iaeaii aeai?eoi iioeiaeueiiai ?ice?ith aacia?a?aiiai
ceeaea o aeiaaeeo caaeaiiy aeae?eueeio iiaeeeaeo aeiaaeei caaioiaie c
aeiioneaie. Aeai?eoi aeicaiey? i?i?i?coaaoe iai??i? caeeoee ceeaea i?e
oaeiio niinia? caaeaiiy aeiaaeei caaioiaie. Ia iniia? ?acoeueoao?a
aeine?aeaeaiue aeai?eoio, ui aeeiiaii a oiiaao aethiiaeo IAEC
Aei?i?ianueeiai iaoaeo?a?eiiai eiia?iaoo, cai?iiiiiaaiee aeai?eoi
?aeiiaiaeiaaii aeey aeeth/aiiy aei neeaaeo ae?th/i? ANO OI IA?C. I?e
oeueiio i/?eoaaia i?aeaeuaiiy aeoiaeo ei?eniiai neeaaea? 0,93%. Aiae?c
/ano aeeiiaiiy aeai?eoio ia aeei?enoaieo a neeaae? oe??? ANO OI PLC 5/30
i?aeoaa?aeea iiaeeea?noue canoinoaaiiy aeai?eoia a ANO OI IA?C,
iiaoaeiaaieo ia aac? no/anieo i?ia?aiiaaieo eia?/ieo eiio?iea??a.

4. ?ic?iaeaii niin?a io?eiaiiy i??ieo oa e?aoieo caaioiaie i?e
cae?i/aii? ?iceeaee ia iaeiino?oieia?e IA?C. Niin?a iieyaa? a aecia/aii?
a iiiaio cae?i/aiiy ?iceeaee iaoaeo ?c noaeaeeaiiai eiaoa iioeiaeueiiai
?ice?ieiiai ieaio aeey noia?ii? aeiaaeeie ceeaea, yeee i?noeoueny a
no?oieo, ? ceeaea, ui aoaea iaea?aeaii c iaoaeo, yeee i?noeoueny a
i?ii?aeiiio eiao?. Oa ianooiiiio io?eiaii? caaioiaie a?aeiia?aeieo
aeiaaeei. ?ic?iaeaiee niin?a aeicaiey? i?i?i?coaaoe iai??i? caeeoee
ceeaeo, ui io?eiothoue ia iaeiino?oieia?e IA?C iai?ee?ioe? ?iceeaee o
aeiaaeeo caaeaiiy aeae?eueeio iiaeeeaeo aeiaaeei caaioiaie.

5. ?ic?iaeaii aeai?eoi iioei?caoe?? oi?aae?iiy cae?i/aiiyi
?iceeaee ia aaaaoino?oieia?e IA?C. Aeei?enoaiiy oeueiai aeai?eoia
aeicaiey? i?i?i?coaaoe iai??i? caeeoee ceeaea, ye? io?eiothoue
iai?ee?ioe? ?iceeaee ia aaaaoino?oieia?e IA?C o aeiaaeeo caaeaiiy
aeae?eueeio iiaeeeaeo aeiaaeei caaioiaie. I?e oeueiio oaeiae
ciaioo?oueny caaaeueiee /an ?iaioe IA?C ia caeeth/iiio aoai? ?iceeaee ?
oaeei /eiii i?aeaeuo?oueny i?iaeoeoeai?noue IA?C. Iiaeeo?eaoe?y
aeai?eoio aeicaiey? caaacia/eoe ia?oi/a?aiaa ia?ae?eooy e?aei?o no?oie?a
iai?ee?ioe? ?iceeaee oa caiia?aoe ia?aioieiaeaeaiiy iaoaeo o i?ii?aeiiio
eiao?. O oeueiio aeiaaeeo i?aeaeuo?oueny ye?noue e?ioeaai? /anoeie
ceeaea ? oaeei /eiii ca?eueoo?oueny aeo?ae ei?eniiai ca ?aooiie
ciaioaiiy «oainoiaeo» caeeoe?a. Ia iniia? ?acoeueoao?a aeine?aeaeaiue
aeai?eoio, ui aoee aeeiiai? a oiiaao aethiiaeo IA?C Aei?i?ianueeiai
iaoaeo?a?eiiai eiia?iaoo, cai?iiiiiaaiee aeai?eoi ?aeiiaiaeiaaii aeey
aeeth/aiiy aei neeaaeo ae?th/i? ANO OI IA?C, i?e oeueiio i/?eoaaia
i?aeaeuaiiy aeoiaeo ei?eniiai neeaaea? 0,3%. ?acoeueoaoe aiae?co /ano
aeeiiaiiy aeai?eoio ia IBM-noi?ni?e IAII ? e?eueeino? aa??aio?a, ui
?icaeyaeathoueny i?ae /an aeeiiaiiy aeai?eoio, cana?ae/eee iiaeeea?noue
aeei?enoaiiy cai?iiiiiaaiiai aeai?eoio aeey oi?aae?iiy aacia?a?aiith
?iceeaeith a ?aaeueiiio /an?.

6. Aeeiiaiee o ?iaio? aiae?c oaiaeaioe?e iiaoaeiae nenoai
oi?aae?iiy IA?C c aeei?enoaiiyi no/anieo i?ia?aiiaaieo eia?/ieo
eiio?iea??a oa iiaeeeainoae cania?a aei??thaaiiy aeicaiey? i?aeoaa?aeeoe
?aaeueio iiaeeea?noue aeei?enoaiiy ?ic?iaeaieo aeai?eoi?a a iaaeao
ia?oiai ??aiy ANO OI IA?C.

7. ?acoeueoaoe aeeiiaieo aeine?aeaeaiue aeicaieythoue
i?aeaeueoe ye?noue aaoiiaoeciaaiiai oi?aae?iiy iaoeiaie aacia?a?aii?
?iceeaee caaioiaie ca ?aooiie ca?eueoaiiy aeoiaeo ei?eniiai a noeoiiino?
aei 2,4% ? oaeei /eiii i?aeaeueoe oaoi?ei-aeiiii?/i? iieacieee
aeei?enoaiiy IA?C ia iaoaeo?a?eieo i?aei?e?inoaao.

8. ?acoeueoaoe ?iaioe ai?iaaaeaeai? a ANO OI IA?C Eociaoeueeiai
iaoaeo?a?eiiai eiia?iaoo oa ?aeiiaiaeiaai? aei ai?iaaaeaeaiiy a ANO OI
IA?C Aei?i?ianueeiai iaoaeo?a?eiiai eiia?iaoo ia iniia? i?iaaaeaieo
aeine?aeaeaiue.

NIENIE IIOAE?EIAAIEO I?AOeUe

1. ?aoaiea caaea/e eiio?iey “iiynia” e iioeiaeueiiai ?ane?iy
neeoea aeey IIEC Aeiai?ianeiai iaoeiiaeiaoa (Iao/ii-oaoie/aneay
eiioa?aioeey “I?iaeaiu aaoiiaoeceoeee iaoaeeo?aee Oe?aeiu”) /
A.I.Eaieai, A.A.Eaoe, I.Y.Ieeon, I.I.Iaeueiee // Aaoiiaoecaoeey
i?iecaiaenoaaiiuo i?ioeannia. – 1996.-?1.-N.109-110.

2. Iiuo ?ac?aaioee e aaiaea a aeaenoaea ANO OI ni?oiauo e
aethiiauo IIEC ia iaoaeeo?ae/aneeo caaiaeao NIA (Iao/ii-oaoie/aneay
eiioa?aioeey “I?iaeaiu aaoiiaoeceoeee iaoaeeo?aee Oe?aeiu”)/ A.A.Eaoe,
A.I.Eaieai, A.E.Iai/aiei, A.A.*aeue // Aaoiiaoecaoeey i?iecaiaenoaaiiuo
i?ioeannia. – 1996.-?1.-N.108-109.

3. ?aaaeaeue A. I., Eaieai A. I., Aeiieoeeee A. E.
Aaoiiaoece?iaaiiay nenoaia oi?aaeaiey oaoiieiae/aneeie
i?ioeannaie a?aiii – eenei?iaeiiai ?aoeie?iaaiey ia?aeaaathueo
noaeae // ANO OI e n?aaenoaa aaoiiaoecaoeee /a?iie
iaoaeeo?aee ia aaca iee?ii?ioeanni?iie oaoieee. – I.: Iaoaeeo?aey,
1986. – N.28 – 31.

4. Eaieai A. I., A?aneianeee I. N., Aiiaea?/oe A. I.
Ii?aaeaeaiea iioeiaeueiuo nooiai/aouo i?ia?aii i?iaeoaee i?e
?aoeie?iaaiee ei??iceiiiinoieeeo noaeae // Ecaanoey AOCia.
*a?iay iaoaeeo?aey.– 1990. — ?5. – N. 29 — 30.

5. A. n. 1773553 NNN?, IEE A 22 D 11/16. Niinia oi?aaeaiey
?ane?iai neeoea ia iaoeia iai?a?uaiiai eeouey caaioiaie / A. I.
Eaieai, A. A. Eaoe, A. I. Oaeueeiae/, A.A.Eioaeaa, E.E.Oiaeueoea?, A.A.
E?aia?ue, A.E.Ooaeaiia. — ?4874681/27; Cayaeaii 16.10.90. Iioae.
07.11.92. Athe. ?41.

6. Iao. ?20239 Oe?a?ia. IEA B 22 D 11/16. Niinia io?eiaiiy
ii?ieo oa e?aoieo caaioiaie ia iaeiino?oieiaie iaoeii aacia?a?aiiai
eeooy caaioiaie / A.I.Eaieai, A.A.Eaoe, I.I.Ea?iiiia, A.A.Aeoeia
(Oe?a?ia) — ?96020597; Cayaeaii 19.02.96; Iioae.27.02.98. Athe.?1.

7. Iao. ?23211 Oe?a?ia IEA B 22 D 11/16 Niinia aaoiiaoe/iiai
oi?aaeiiiy ii?icii ceeaea ia iaoeiao aacia?a?aiiai eeooy caaioiaie /
I.I.Iiaeaa?aciee, N.N.A?iaenueeee, A.I.Eaieai, A.A.Eaoe, I.I.Iaeueiee,
I.I.Iieon, A.A.??iieaiei (Oe?a?ia) — ?96073034; Cayaeaii 29.07.96;
Iioae.31 08.98.Athe. ?4.

8. Aiaooaaneee A.N., Eaieai A.I. ?ac?aaioea e enneaaeiaaiea
iioeiaeueiuo aeai?eoiia oi?aaeaiey IIEC // I?aoe? I’yoi? Oe?a?inueei?
eiioa?aioe?? c aaoiiaoe/iiai oi?aae?iiy. – *anoeia 1. – Ee?a: Ee?anueeee
iie?oaoi?/iee ?inoeooo. – 1998. – N.214 – 221.

AIIOAOe?ss

Eaieai A.I. ?ic?iaea oa aeine?aeaeaiiy aeai?eoi?a a ANO OI
IA?C, ui i?aeaeuothoue aeo?ae ei?eniiai i?e aacia?a?ai?e ?iceeaoe?
noae?. – ?oeiien.

Aeena?oaoe?y ia caeiaoooy iaoeiaiai nooiaiy eaiaeeaeaoa
oaoi?/ieo iaoe ca nia-oe?aeuei?noth 05.13.07 – Aaoiiaoecaoe?y
oaoiieia?/ieo i?ioean?a. – Iaoeiai-ae?iaie/a ei?ii?aoe?y “Ee?anueeee
?inoeooo aaoiiaoeee”, Ee?a, 1999.

Aeena?oaoe?th i?enay/aii oaeineiiaeaiith ANO OI iaoei
aacia?a?aii? ?iceeaee caaioiaie (IA?C) ca ?aooiie i?aeaeuaiiy aeoiaeo
ei?eniiai. A ?iaio? ?ic?iaeaii niin?a i?aeaeuaiiy oi/iino? aei??thaaiiy
aeiaaeeie aacia?a?aiiai ceeaea i?e aeei?enoaii? aeey aei??thaaiiy
aeiaaeeie ceeaea ?iioeueniiai aeao/eea, ui ?icoaoiaaii ia aaeo oyaio/i?
ee?oee. ?ic?iaeaii oa aeine?aeaeaii aeai?eoi iioeiaeueiiai ?ice?ith
aacia?a?aiiai ceeaea, yeui caaeai? aeiionoei? aeiaaeeie caaioiaie o
aeaeyae? aeae?eueeio ?ioa?aae?a aeiaaeei c ??cieie i??i?eoaoaie.
?ic?iaeaii oa aeine?aeaeaii aeai?eoi oi?aae?iiy cae?i/aiiyi ?iceeaee ia
aaaaoino?oieiaeo IA?C, ui i?i?i?co? iai??i? noia?i? caeeoee ceeaea oa
o?eaae?noue caeeth/ii? oace ?iceeaee. Aeine?aeaeaii no/ani? oaiaeaioe??
noai?aiiy ANO OI IA?C ? aecia/aia iiaeeea?noue ?aaeecaoe?? ?ic?iaeaieo
aeai?eoi?a a ?aieao ia?oiai ??aiy ANO OI IA?C (aaciai? aaoiiaoecaoe??).
?acoeueoaoe ?iaiou ai?iaaaeaeai? a ANO OI IA?C Eociaoeueeiai
iaoaeo?a?eiiai eiia?iaoo oa ?aeiiaiaeiaai? aei ai?iaaaeaeaiiy a ANO OI
IA?C Aei?i?ianueeiai iaoaeo?a?eiiai eiiaeiaoo ca ?acoeueoaoaie
aeeiiaieo aeine?aeaeaiue.

Eeth/ia? neiaa: aaoiiaoecaoe?y, aacia?a?aia ?iceeaea, iai??i?
caeeoee ceeaea, iioeiaeueiee ?ice??e, caeeth/ia oaca ?iceeaee.

Eaieai A.I. ?ac?aaioea e enneaaeiaaiea aeai?eoiia a ANO OI
IIEC, iiauoathueo auoiae aiaeiiai i?e iai?a?uaiie ?aceeaea noaee. –
?oeiienue.

Aeenna?oaoeey ia nieneaiea o/aiie noaiaie eaiaeeaeaoa
oaoie/aneeo iaoe ii niaoeeaeueiinoe 05.13.07 – Aaoiiaoecaoeey
oaoiieiae/aneeo i?ioeannia. – Iao/ii-i?iecaiaenoaaiiay ei?ii?aoeey
“Eeaaneee einoeooo aaoiiaoeee”, Eeaa, 1999.

Aeenna?oaoeey iinayuaia niaa?oainoaiaaieth ANO OI iaoei
iai?a?uaiiai eeouey caaioiaie (IIEC) a ?acoeueoaoa iiauoaiey auoiaea
aiaeiiai.

A ?aaioa i?eaaaeai niinia iiauoaiey oi/iinoe ecia?aiey aeeeiu
iai?a?uaiiai neeoea i?e eniieueciaaiee aeey ecia?aiey aeeeiu neeoea
eiioeueniiai aeao/eea, ?aniieiaeaiiiai ia aaeo oyiouae eeaoe. Iiauoaiea
oi/iinoe ecia?aiey aeinoeaaaony a ?acoeueoaoa o/aoa oaeeeiaiey neeoea,
aicieeathuaai i?e iaaeaoee a oyioueo eeaoyo. ?ac?aaioaiiue niinia aue
eniieueciaai i?e oi?aaeaiee ii?aceie neeoea a ANO OI IIEC Eociaoeeiai
iaoaeeo?ae/aneiai eiiaeiaoa. I?e yoii iiauoaiea auoiaea aiaeiiai ca n/ao
oaaee/aiey oi/iinoe ?aca ninoaaeei 1,17%.

?ac?aaioai niinia aaoiiaoe/aneiai oi?aaeaiey au?acaieai
(iaae?acaieai) «iiynia» a iai?a?uaiii neeoea a i?ioeanna ?aceeaee i?e
eniieueciaaiee aeey ?aca neeoea iaoei aaciaie ?acee. Niinia caeeth/aaony
a iinoiyiiii eiio?iea a i?ioeanna au?acaiey “iiyna” aiciiaeiinoe
aica?aoa iaoeiu aaciaie ?acee a enoiaeiia iieiaeaiea e iiiaioo ia/aea
neaaeothuaai ?aca.

?ac?aaioai e enneaaeiaai aeai?eoi iioeiaeueiiai ?ane?iy
iai?a?uaiiai neeoea i?e caaeaiee aeiionoeiuo aeeei caaioiaie a aeaea
ianeieueeeo eioa?aaeia aeeei n ?acee/iuie i?ei?eoaoaie.

?aaioa aeai?eoia iniiaaia ia eniieueciaaiee neaaeothueo aeaoo
e?eoa?eaa aaciooiaeiinoe ?ane?iy:

N = [ L?ane? / l min ] ; N
lmax L?ane? ;

aaea [L?ane? / l min] iaicia/aao iia?aoeeth iaoiaeaeaiey iaeneiaeueiiai
oeaeiai /enea, iaiueoaai eeai ?aaiiai L?ane? / l min.

N1 l1 min +…+ Nn ln min L?ane? N1 l1 max +…+ Nn ln max
,

Ia iniiaaiee ?acoeueoaoia eniuoaiee aeai?eoia, auiieiaiiuo a
oneiaeyo aethiiauo IIEC Aeiai?ianeiai iaoaeeo?ae/aneiai eiiaeiaoa,
aeaiiue aeai?eoi ?aeiiaiaeiaai aeey aeeth/aiey a ninoaa aeaenoaothuae
ANO OI IIEC. I?e yoii iaeeaeaaiia iiauoaiea auoiaea aiaeiiai ninoaaeyao
0,93%.

?ac?aaioai niinia iieo/aiey ia?iuo e e?aoiuo caaioiaie i?e
ieii/aiee ?aceeaee ia iaeii?o/ueaaie IIEC. Niinia caeeth/aaony a
ii?aaeaeaiee a iiiaio ieii/aiey ?aceeaee iaoaeea ec noaea?aceeai/iiai
eiaoa iioeiaeueiiai ?ane?ieiiai ieaia aeey noiia?iie aeeeiu neeoea,
eiathuaainy a ?o/uea, e iieo/aaiiai ec iaoaeea, eiathuaainy a
i?iiaaeooi/iii eiaoa, a oaeaea iineaaeothuai iieo/aiee caaioiaie
niioaaonoaothueo aeeei. ?ac?aaioaiiue niinia iicaieyao ieieiece?iaaoue
iaia?iua iooiaeu neeoea, iieo/aaiua ia iaeii?o/ueaaie IIEC a eiioea
?aceeaee, a neo/aa caaeaiey ianeieueeeo aeiionoeiuo aeeei caaioiaie.

?ac?aaioai e enneaaeiaai aeai?eoi oi?aaeaiey ieii/aieai
?aceeaee ia iiiai?o/ueaauo IIEC, ieieiece?othuee iaia?iua noiia?iua
iooiaeu neeoea e aeeeoaeueiinoue caeeth/eoaeueiie oacu ?aceeaee, a
oaeaea iiaeeoeeaoeey yoiai aeai?eoia a neo/aa iaiaoiaeeiinoe
ia?aii/a?aaeiiai ia?ae?uoey e?aeieo ?o/ueaa. Aeai?eoi iniiaai ia
eniieueciaaiee iaoiaeia aeeiaie/aneiai i?ia?aiie?iaaiey. Ia iniiaaiee
?acoeueoaoia eniuoaiee aeai?eoia, auiieiaiiuo a oneiaeyo aethiiauo IIEC
Aeiai?ianeiai iaoaeeo?ae/aneiai eiiaeiaoa, aeaiiue aeai?eoi
?aeiiaiaeiaai aeey aeeth/aiey a ninoaa aeaenoaothuae ANO OI IIEC, i?e
yoii iaeeaeaaiia iiauoaiea auoiaea aiaeiiai ninoaaeyao 0,3%.

Enneaaeiaaiu nia?aiaiiua iai?aaeaiey nicaeaiey ANO OI IIEC e
ii?aaeaeaia aiciiaeiinoue ?aaeecaoeee ?ac?aaioaiiuo aeai?eoiia a ?aieao
o?iaiy 1 ANO OI IIEC (aaciaie aaoiiaoecaoeee) eae n oi/ee c?aiey
aiciiaeiinoae nia?aiaiiuo n?aaenoa ecia?aiee, oae e n oi/ee c?aiey
aiciiaeiinoae nia?aiaiiuo i?ia?aiie?oaiuo eiae/aneeo eiio?ieea?ia.

?acoeueoaou auiieiaiiuo enneaaeiaaiee iicaieytho iiauneoue ea/anoai
aaoiiaoe/aneiai oi?aaeaiey iaoeiaie iai?a?uaiiai eeouey caaioiaie ca
n/ao oaaee/aiey auoiaea aiaeiiai a niaieoiiinoe aei 2,4% e oai naiui
iiauneoue oaoieei-yeiiiie/aneea iieacaoaee eniieueciaaiey iaoei
iai?a?uaiiai eeouey caaioiaie ia iaoaeeo?ae/aneeo i?aaei?eyoeyo.

?acoeueoaou ?aaiou eniieueciaaiu a ANO OI IIEC Eociaoeeiai
iaoaeeo?ae/aneiai eiiaeiaoa e ?aeiiaiaeiaaiu e eniieueciaaieth a ANO OI
IIEC Aeiai?ianeiai iaoaeeo?ae/aneiai eiiaeiaoa.

Eeth/aaua neiaa: aaoiiaoecaoeey, iai?a?uaiay ?aceeaea, iaia?iua
iooiaeu neeoea, iioeiaeueiue ?ane?ie, caeeth/eoaeueiay oaca ?aceeaee,

Kaplan V.N. Elaboration and research of algorithms for
Automated process control system of Continuous steel casting
units (APCS CSCU) which increase the marketable output of steel.
— Manuscript.

Candidate of technical science dissertation on speciality
05.13.07 — Automation of technological processes. — Scientific
and production corporation “Kyiv institute of automation”, Kyiv,
1999.

The dissertation is devoted to improvement of APCS
CSCU for increasing the marketable output of steel. A method
of accuracy enhancing for pulse transducer which is arranged on
the shaft of pinch rollers and used for the continuous ingot
length measurement is quoted in the thesis. An algorithm of the
optimal continuous ingot pattern cutting is worked out and
researched for a case of setting the acceptable ingot lengths
as several length ranges with the different priorities.

An algorithm of cast termination control which minimizes
summary non-gaging ingot scrap and cast terminal stage time is
worked out and researched for multi-pass CSCU . The current
trends of APCS CSCU creation are researched. The possibility
of implementation was estimated for the developed algorithms
within the bounds of the 1st level APCS CSCU ( basic
automation).

The results of thesis were used in APCS CSCU at
Kuznetsk integrated iron-and-steel works and were recommended to
use in APCS CSCU at Dniprovsky integrated iron-and-steel works
in consecuence of the tests which were conducted.

Key words : automation, continuous casting, non-gaging
ingot scrap, optimal pattern cutting, cast terminal stage.

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