༢ ٟ ᆇ ࿐ Б© ֻ18जֻ4௹Vol. 18 No. 42006୍4ᄅ Journal of System Simulation Apr., 2006 ϰջᅁࠏэې؇॥ᇅ֥ႋႨٟࠣᆇ 121ชඎћ, ᇒᄉڂđྷྏބ č1.תКն࿐ ྐ༏॓࿐ა۽ӱ࿐ჽ, ୡഫဝ 110004Ġ2.ഈݚЏۑํܢٺ܄ඳಣᅁӌ, ഈݚ 201900Ď ᅋ ေğэې؇༢ඔ൞ϰջ৵ᅁࠏި؇ሱ॥ᇅ༢ᇏ၂۱ᇗေ֥ҕඔb๙ݖؓэې؇ި؇॥ᇅჰބ॥ᇅଆ֥࣮đڣᇹႿсေ֥ٟᆇ൭؍đ࣮ਔ҂֥эې؇༢ඔؓཨԢೆ१ި؇ொҵaᅁᇅ৯ಠၛࠣᅁݎொྏ֩ᇕ౦ঃ֥႕ཙbቋުđሸކॉ੮ᇕ॥ᇅིݔđؓэې؇༢ඔ֥ކ౼ᆴቔਔקਈ֥࣮ބٳ༅b ܱՍğ৵ᅁࠏĠሱި؇॥ᇅĠэې؇॥ᇅĠඔ࿐ଆ ᇏٳোݼğ ໓ངѓ്ğA ໓ᅣщݼğ1004-731X (2006) 04-1030-03 Simulation and Application of Mill Modulus Control in Strip Rolling Mills 121 TAN Shu-binđZHONG Yun-fengđXU Xin-he( of Information Science and Engineering, Northeastern University, Shenyang 110004, China; Strip Rolling Plant of Shanghai BaoSteel, Shanghai 201900, China) AbstractğMill modulus control (MMC) is one of important methods in the automatic gauge control (AGC) systems of strip rolling mills. Related control theories and models were studied deeply. The ability to eliminate strip undulation, rolling force noise and roller eccentricity disturbances were simulated respectively with virtual mill’s modulus. As a result, how to get a better control effect was analyzed and confirmed in reason based on considering three control effects. Key wordsğcontinuous rolling mill; automatic gauge control; mill modulus control; mathematics model ᅁ1ᇅႄ ৯1Cᅁࠏᄝൌ࠽֥ളӁݖӱ॥ᇅᇏđ҂֥॥ᇅଢѓؓᅁࠏBPl[1]֥ې؇ေ൞҂၂ဢ֥bᇶေၝᇅ֥൞ᅁࠏଽ҆ಠߎ൞Aຓ҆ಠđҐႨ֥൞ݎډטࢫߎ൞ᅦ৯טࢫđ॥ᇅ֥ଢѓ൞Pϰިࣚ؇ߎ൞ϰྙᇉਈđᆃུ҂֥ᅁᇅ่ࡱؓᅁࠏ֥ې؇0ิԛਔ҂֥ေbᅁࠏᄝᅁᇅݖӱᇏđ၁AGCିܔ αβhlၹᅁᇅ৯ѯطӁള֥ᅁࠏ๋э߄ෛൈ֤֞҂ӱ؇֥∆S∆Phϰި)−SP−PQ00טᆜҀӊđၛᇀݎډॖ֤֞҂ӱ؇֥॥ᇅđᆃཌྷ֒Ⴟᅁࠏ−∆hhM)֥ې؇൞ॖၛ॥ᇅ֥bၹՎđࣼႵਔ၂۱ॖэې؇č֒ਈې ؇Ď֥ۀb۴ऌ۽ၜေđڿэ॥ᇅ༢ᇏ֥эې؇טࢫ1 ᅁࠏෑ౷ཌčP-HĎ ༢ඔđࣼॖၛࠆ֤҂֥֒ਈې؇b ھٚӱؓႋ֥ᄹਈྙൔູğ ൞đэې؇טࢫ༢ඔؓAGCި॥༢Чദ߶Ӂള∆P ∆h=∆S+ (2)હဢ֥႕ཙĤܱႿᆃٚ૫֥ษંބٟᆇᄝݓଽഉඋ൮Ցb MఃᇏđPູौטਬൈ֥ყᅁᇅ৯ĠPູᅁᇅൈ֥ൌ࠽ᅁ1 ᅁࠏэې؇॥ᇅ֥ࠎЧჰ 0ᇅ৯Ġູौטਬൈ֥ݎډᆴĠhູᅁࡱԛ१ި؇ĠHູ ϰջᅁࠏ֥ᅁᇅჰ ᅁࡱ֥ೆ१ި؇Ġູᅁࡱ֥эྙਈĠMູᅁࠏᄝPၛഈ∆h0၂Ϯ০Ⴈᅁࠏ֥ෑ౷ཌඪૼđᇏᅁࠏ֥ྟ౷ཌ֥ې؇đĠQູᅁࡱ֥ෑྟ༢ඔđb M=tgαQ=tgβčᅁࠏې؇Ď൞ᄝ၂ק֥۽ঃ่ࡱ༯ҩ֤֥đؓႋ๋֥ࡌഡ෭ק۽ቔູׄ(SđP)đఃؓႋ֥ԛ१ި؇ູbhlll[5]ٚӱູğ ଖ၂ൈख़Ⴕ၂۱ೆ१ި؇ொҵ∆Hđྍ֥۽ቔׄࣼ߶ሇ၍֞P−P0 (1) h=S+(Sđ)đՎൈ߶ԛགྷ၂۱ԛ१ި؇֥ொҵbູਔ0P+∆P∆hllMЌᆣԛ१ި؇֥ޚקཨԢԛ१ި؇ொҵđࣼေטᆜݎh∆hl ډđ֤۽ቔׄᄜՑሇ၍֞(đ)đؓႋႿPS+∆SP+∆P൬۠ರ௹ğ2005-02-27 ྩ߭ರ௹ğ2005-09-19 llቔᆀࡥࢺğชඎћ(1974-), ଳ, ފଲᛝཅದ, Ѱൖള, ࣮ٚཟູ࠹ෘࠏiHčೂ1෮ൕĎđࣼ൞Ֆ෭ק۽ቔׄA֞۽ቔׄBᄜ॥ᇅٟࠣᆇ, ݖӱ॥ᇅაܣᅰᆐ؎֩Ġᇒᄉڂ(1969-), ଳ, ࡾ༆Ⴟದ, ֞۽ቔׄC֥ݖӱb ۽ӱഽ, Ѱൖ, ࣮ٚཟູᅁۑሱ߄֩b ·1030·
ֻ18जֻ4௹ Vol. 18 No. 4 2006୍4ᄅ ชඎћ, ֩ğϰջᅁࠏэې؇॥ᇅ֥ႋႨٟࠣᆇ Apr., 2006 ϰջᅁࠏэې؇֥॥ᇅჰ ႋܱ༢đିܔᆞಒّ႘эਈᆭࡗཌྷ႕ཙ֥ٚཟྟb ࡌೂေཨԢ၂۱ԛ१ި؇֥ᆞொҵđࣼླေࡨཬݎډĠэې؇॥ᇅࣼ൞ࡼ๋ٚӱ(2)ದֹູڿӮೂ༯ྙൔğ ّᆭđࣼႋھնݎډđၹՎ۴ऌ܄ൔ(7)༯ൔсྶӮ৫b ∆P ∆h=∆S+α(3)cM+QM (9)−<0M+(1−α)×Q๙ݖڿэα֥ᆴđࣼॖၛᄝཌྷᅁᇅ৯ᄹਈ֥౦ঃ༯đࠧэې؇༢ඔေડቀğ ֤֞҂๋֥ਈᄹࡆਈࣼཌྷ֒ႿڿэਔᅁαP/Mđᆃ္∆M+Q ࠏ֥ې؇b α< (10)QೂݔႵ၂۱ᅁࡱೆ१ި؇ؿളэ߄đູਔЌӻԛ१ި؇ᄝݎډ҂ࣉྛטࢫ֥౦ঃ༯đࡌೂႵ၂۱ᅁࡱೆ१ި؇҂эđቋު۽ቔׄсࡼႮ෭ק۽ቔׄ(đSP)໗קᄝޙ۽ll֥ᆞொҵطႄఏᅁᇅ৯֥ᄹնđᄵ൝с֝ᇁ၂۱ԛ१ި؇֥ቔׄ(SđP)đႿ൞ཁಖॖ֤ğ ᆞொҵđّᆭၧಖb෮ၛэې؇༢ඔေնႿ0đࠧႵğ (4) ∆S=S−Sl (11) α>0 (5) ∆P=P− ॥ᇅ༢ᇉ֥ჿඏ ၛ෭ק۽ቔູׄࠎሙđ၇ऌི֩ᅁࠏ๋ٚӱൔ(3),ఃؓႋི֥֩ިҵູđູཨԢՎི֩ިҵđ෮ླ֥ݎډטႮ2ॖၛಸၞֹ֤֞∆H֥֞Ԯ־ݦඔb ∆h∆Sc**QM+QࢫਈᄯӮ֥ᅁࠏᅁᇅ৯ᄹਈູğ η∆S∆Psη=đK=bఃᇏӫᆭູ༯ 1Q+MM+(1−α)×QMQ* (6)∆P=−∆SsིੱđᄵႵğ M+Q−K⋅η⋅α⋅G(s) ৳৫܄ൔ(3)ބ(6)ࣼॖၛ֤֞෮ླ֥ݎډטࢫਈೂ༯ğ 1APC (12)∆S(s)=⋅∆H(s)1G(s)[1−K(1−α⋅η)]APC1M+Q* ∆S=−×∆h (7)cࣉطॖ֤ğ M+(1−α)×Q∆h(s)=(1−η)⋅∆S(s)+η⋅∆H(s)ཌྷႋ APC֥۳קטࢫਈູğ −K⋅α⋅G()1APC=[1+⋅(1−η)]⋅η⋅∆H(s)M+Q* (8)S=−×∆h+∆S1−G(s)[1−K(1−α⋅η)]cAPC1M+(1−α)×Qα⋅MQ (13)=[1−⋅G(s)]⋅⋅∆H(s)APC܄ൔ(3)a(6)a(7)ູࠧި؇࠹эې؇༢֥ࠎЧෘمbM+(1−α)QM+Qׅ֥эې؇॥ᇅॿೂ2෮ൕb ཁಖॖᆩđႮႿೆ१ި؇ѯطႄఏ֥ԛ१ި؇֥ѯđఃཙႋหྟᆺބAPCЧദܥႵหྟႵܱb္ࣼ൞ඪđ"1$∆Sc* ҐႨި؇࠹эې؇ި؇ሱ॥ᇅ༢đః໗קྟބཙႋห∆S S ∆h G(s) ྟაэې؇༢ඔα֥౼ᆴնཬીႵܱ༢b֒Ģ1ൈđႮ܄α1ൔ(13)ॖၛुԛđ҂ܵೆ१ި؇ᄸહэ߄đЧ॥ᇅ༢൞M Ⴕቀܔ֥ି৯ࡼԛ१ި؇֥ொҵࡨཬ֞0đᆃ္ᆞೂ3ᇏM×Q∆H M+Q∆Psٟᆇ෮ൕb *∆S M+Q∆∆Phαc ∆Pd−M+(1−α)QM 3 ಣ৵ᅁࠏэې؇॥ᇅ֥ٟᆇބٳ༅ "($ ࡌഡഡᅁࠏ֥ې؇༢ඔބᅁࡱ֥ෑྟ༢ඔٳљູM =52 ଖಣ৵ᅁࠏэې؇॥ᇅ༢ॿ 6610N/mmđQ=410N/mmđ০Ⴈၘࣜࡹ৫֥AGC॥ᇅఃᇏđG(s)ູ໊ᇂ॥ᇅ༢טࢫఖa၁යڛلބ၁ےၛଆđٳљؓཨԢೆ१ި؇ொҵaᅁᇅ৯ಠၛࠣᅁݎொྏࠣᅁࠏ༢֥ሸކԮ־ݦඔđa∆S∆Pٳљູၛ໊ᇂބᅁᇅ֩ᇕ౦ঃ֥႕ཙࣉྛษંb *৯෭קᆴູࠎሙ໊֥ᇂބᅁᇅ৯ᄹਈĠູAPCൻೆਈĠ ؓཨԢೆ१ި؇ொҵྟି֥႕ཙ *ູཨԢི֩ިҵĠ෮ླ֥ݎډטࢫਈĠູэې؇∆Sα∆hcࡌഡଖ၂۱ൈख़đᅁࠏ֥ೆ१ި؇Ⴕ၂۱75֥ொµm༢ඔĠMູᅁࠏې؇ĠQູᅁࡱෑྟ༢ඔb ҵđؓఃࣉྛٟᆇ֥ࢲݔೂ3෮ൕb 2 эې؇༢ඔ֥౼ᆴٓຶ ؓႿ၂۱ႮႿೆ१ި؇ႄఏ֥ި؇ҵđෛሢαᆴ֥ᄹնđ॥ᇅ༢ؓႮႿೆ१ި؇ொҵ∆Hطႄఏ֥ԛ१ި؇ொҵ∆h۴ऌ܄ൔ(3)đඔ࿐ၩၬഈ֥֒ਈې؇ॖၛ൞o౫նpđ֥ཨԢି৯ᄀটᄀ఼b֒αĢൈđ္ࣼ൞ሱಖې؇༯đ॥္ॖၛ൞o౫ཬpđ൞эې؇༢ඔ൙ൌഈߎေ൳֞۽ၜᇅ༢ᆞݺॖၛཨԢೆ१ި؇ொҵ֥႕ཙđ֤ԛ१ި؇֥ഈa༢໗קྟބཙႋᇉ֥ჿඏb ொҵູਬĠ֒α<ൈđؓೆ१ި؇ொҵ֥ཨԢି৯҂ܔĠ ۽ၜഈ֥ჿඏ ֒α>ൈđؓೆ१ި؇ொҵ֥ཨԢି৯Ⴛնđཁ֤Ⴕׄэې؇༢ඔ֥౼ᆴđ൮༵ႋھژކൌ࠽ၩၬഈ֥ؓoຨݖᆞpb֒α>(M+Q)/Q=ൈđݎډ֥ൌ࠽ቔࣼ·1031·
ֻ18जֻ4௹ Vol. 18 No. 4 2006୍4ᄅ ༢ ٟ ᆇ ࿐ Б Apr., 2006 13߶ބ௹ຬ֥ݎډቔٚཟཌྷّđ҂ղ҂֞ཨԢިҵི֥ݔđطߎ߶٢նި؇ொҵ(ೂαĢ20ൈ֥ٟᆇ౷ཌ)b 1110096072050 -20 ൈࡗ/s 5 ҂֥αᆴཨԢᅁݎொྏಠି৯֥бࢠ -600 ༢ඔα֥౼ᆴູ1ൈđؓഈඍᆀ֥ཨԢି৯ٳљູ100%a ൈࡗ/s 0%ބ0%Ġ֒эې؇༢ඔα֥౼ᆴູൈđؓഈඍᆀ3 ҂֥ᆴཨԢೆ१ި؇ொҵି৯֥бࢠ α֥ཨԢି৯ٳљູ%%ބ%Ġэې؇༢ඔα֥ ؓཨԢᅁᇅ৯ಠྟି֥႕ཙ ౼ᆴູൈđؓഈඍᆀ֥ཨԢି৯ٳљູ%%ބ%bഈඍି৯ᆷѓູᆞᆴ֥đіൕႵ၂ק֥ཨࡌഡଖ၂۱ൈख़đᅁࠏႵ၂۱ຓࢸᅁᇅ৯ಠ=5∆Pd4Ԣି৯Ġି৯ᆷѓູڵᆴ֥đіൕ҂ીႵཨԢି৯đّط10Nđؓఃࣉྛٟᆇ֥ࢲݔೂ4෮ൕb ߎ߶٢նۄಠྐݼ֥႕ཙĠି৯ᆷѓնႿ100Ċ֥đіൕཨ0Ԣି৯ݖ఼đႵׄoຨݖᆞpb -44 ࢲં ሸഈ෮ඍđэې؇༢ඔ֥౼ᆴٓຶႋھ౼ᆴູ-8đൈॉ੮֞эې؇༢ඔؓཨԢᅁݎொྏ0<α<(M+Q)/QಠaཨԢᅁᇅ৯ಠ֥႕ཙၛࠣЌϰྙ֥ླေđଖࠏ-12ࡏಣ৵ᅁࠏ֥భ۱ࠏࡏ၂Ϯ౼αĢđުඹ۱ࠏࡏ౼αĢđႵൈީᄝުਆ۱ࠏࡏമᇀॖၛ౼0bᆃဢđ-160 ၂ٚ૫ॖၛႵֹིࡨཬᅁᇅ৯ಠؓԛ१ި؇֥႕ཙđਸ਼၂ ൈࡗ/s ٚ૫္Ⴕ০Ⴟϰྙ֥॥ᇅb࣐ܵᆃဢ၂টđ൝с߶ཨؓೆ4 ҂֥αᆴཨԢᅁᇅ৯ಠି৯֥бࢠ १ި؇ѯ֥࣯ொି৯đ൞ႮႿࡓ॥AGC֥թᄝđಯ߶Ⴎഈॖđэې؇༢ඔα֥ᆴᄀཬđᅁᇅ৯ಠؓԛႵቀܔ֥ି৯ЌᆣཨԢႮՎطᄯӮ֥໗ި؇ொҵb १ި؇֥႕ཙᄀཬđ္ࣼ൞ၩᅁࠏ֥֒ਈې؇эնĠэېҕॉ໓ང: ؇༢ඔα֥ᆴᄀնđᅁᇅ৯ಠؓԛ१ި؇֥႕ཙᄀնđ္[1] ᅦࣉᆭ. ৯AGCٳোࠣ॥ᇅིݔٳ༅[J]. ۑํ࣮ሹჽ࿐Б, ࣼ൞ၩᅁࠏ֥֒ਈې؇эཬđᆃ္ᆞ൞֒ਈې؇܄ൔ֥ᆇ1988, 6: 87-94. ᆞၩၬ෮ᄝĆ [2] Hiromi Hirono, Toshio Sakai. Upgrading of Hot Finishing Mill to 4- ؓཨԢᅁݎொྏಠྟି֥႕ཙ Stands and Replacement of Computer Control System [J]. Furukawa Review. 1999, 18(9): 103-109. ࡌഡଖ၂۱ൈख़đᅁࠏႵ၂۱ᅁݎொྏ=10֥ಠ∆Sµme[3] ᅦࣉᆭ. ഡקэې؇ި॥ٚمི֥ݔٳ༅[J]. ᇗࠏྀđؓఃࣉྛٟᆇ֥ࢲݔೂ5෮ൕb 1998, 1: 30-34. Ⴎ5ॖđэې؇༢ඔα֥ᆴᄀཬđᅁݎொྏಠؓ[4] Adelmo F Monaco. Hot Mill Profile/Flatness Performance and Finishing Mill Work Roll Practices [J]. Iron & Steel Technology ԛ१ި؇֥႕ཙᄀཬĠэې؇༢ඔα֥ᆴᄀնđᅁݎொྏಠ(S0301-9233). 2004, 5: 38-45. ؓԛ१ި؇֥႕ཙᄀնbఃൌᅁݎொྏ֥ಠđ္൞๙ݖ[5] ၂ू. ջۑಣ৵ᅁ֥ଆა॥ᇅ[M]. Кࣘ: းࣁ۽ြԛϱഠ, ᅁᇅ৯ّ֥ঌط֤֥֞đ෮ၛᅁݎொྏಠؓԛ१ި؇ொҵ2002. ֥႕ཙ൞ބᅁᇅ৯ಠؓԛ१ި؇ொҵ֥႕ཙđᄝٚཟഈ൞[6] ລབି, נྩⱿ. གྷսջۑ৵ᅁࠏ॥ᇅ[M]. ഫဝ: תКն࿐ԛϱ၂ᇁ֥b ഠ, 1996. [7] B Bulut, M R Katebi. Predictive Control of Hot Rolling Processes Ֆၛഈ֥ંٳ༅ٟࠣᆇࢲݔॖၛ֤ԛೂ༯ࢲંğэې[C]//Proceedings of the American Control Conference Chicago, ؇༢ඔα֥౼ᆴնཬđؓཨԢೆ१ި؇ொҵaᅁᇅ৯ಠၛIllinois. 2000, 6: 2058-2062. ࠣᅁݎொྏ֩ᇕ౦ঃ֥႕ཙ൞҂ཌྷ֥đᆃ҂ࣇࣇุགྷᄝ[8] ࣁሥѵ۬. ۚࣚ؇ϰջҋ॥ᇅંაൌ[M]. ࡻૼת, ݓቔ֥ٚཟഈđߎุགྷᄝטࢫ֥ඔᆴഈb২ೂđ֒эې؇ ׯ֩ၲ. Кࣘ: းࣁ۽ြԛϱഠ, 2000. ·1032· ԛ१ި؇ொҵ(Ȱm) ԛ१ި؇ொҵ(Ȱm) ԛ१ި؇ொҵ(Ȱm)
