Adjustment of automatic control systems of production facilities at coal processing plants using multivariant physico- mathematical models

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1 IO Conference Series: Earth and Environmenta Science AER OEN ACCESS Adjustment of automatic contro systems of production faciities at coa processing pants using mutivariant physico- mathematica modes To cite this artice: V F Evtusheno et a 206 IO Conf. Ser.: Earth Environ. Sci View the artice onine for updates and enhancements. Reated content - Magnetic moment distribution modeing in non stoichiometric Ni-Mn-Ga ferromagnetic shape memory aoys ázpita, J Gutiérrez, J M Barandiarán et a. - A generaized cumuant expansion for disordered systems J Gaspard and F Cyrot-acmann - Ageing dependence and martensite stabiization in copper based shape memory aoys O Adiguze This content was downoaded from I address on 4//208 at 02:9

2 IO Conf. Series: Earth and Environmenta Science 45 (206) 0200 IO ubishing doi:0.088/755-5/45//0200 Adjustment of automatic contro systems of production faciities at coa processing pants using mutivariant physicomathematica modes V F Evtusheno, Myshyaev, G V Maarov, K A Ivushin 2 and E V Burova Siberian State Industria niversity, 42 Kirova Street, Novouznets, Russia, Consoidated Company Sibshahtostroy, 9 Kuznetsoye Rd, Novouznets, Russia, E-mai: evtusheno_vf@sibsiu.ru Abstract. The structure of muti-variant physica and mathematica modes of contro system is offered as we as its appication for adjustment of automatic contro system (ACS) of production faciities on the exampe of coa processing pant.. Introduction One of the most important probems in ACS deveopment is their structura and parametric adjustment, for which, as a rue, specia testing ranges, worbenches, as we as existing physica modes of contro objects, functioning as parts of contro system of a physica mode (CS). In [, 2] the features, conditions and procedure for appication of such systems in the test tass, adjustment and research of fu-scae contro systems are considered. The efficiency of the procedures offered here can be significanty increased by generaizing CS in case of contro of mutivariate physico-mathematica mode of a fu-scae contro object mutivariate contro system of a physica mode (MvCS). The controed component in MvCS is a combination of (by anaogy with fu-scae mathematica []) physica mode of the technoogica contro object in the form of its information representation [4], and mathematica incrementa mode, functioning in the increments to data on changes of input and output effects of physica mode. Mutivariance is created by connecting to a singe functioning physica mode any finite number of recacuation modes using the above indicated combination, and, thus, form a finite set of simutaneousy functioning physico-mathematica modes of fu-scae objects of any physica nature and, accordingy, contro systems, but they and their mathematica incrementa modes shoud have a simiar structure. The main advantage of MvCS is the fact that its use wi aow the mutipe fu-scae contro systems (FCS) to be simutaneousy expored, tested and configured, provided that each FCS and the corresponding to it contro system of physico-mathematica mode wi be simiar [5]. Another positive feature of the physico-mathematica modeing in comparison with the fu-scae mathematica one is the possibiity to change easiy enough the technoogica operationa modes of the physica mode, which is not aways feasibe or is associated with high costs for fu-scae objects. Content from this wor may be used under the terms of the Creative Commons Attribution.0 icence. Any further distribution of this wor must maintain attribution to the author(s) and the tite of the wor, journa citation and DOI. ubished under icence by IO ubishing td

3 IO Conf. Series: Earth and Environmenta Science 45 (206) 0200 IO ubishing doi:0.088/755-5/45//0200 In this paper we examine one of the possibe procedures adapted to the soution of probems of simutaneous adjustment of the finite set of ACS output actions and states of technoogica units at a coa processing pant, which are an important component of automated technoogica compexes, argey determining efficiency of their operation. The proposed option is based on mutivariate physico-mathematica modeing using fu-scae data, obtained with the hep of existing monitoring systems, as we as modeing and fu-scae data with the specified statistica properties formed by the mutivariant generator in the form of a cosed dynamic system (MV generator (CDS) [6]) simiarity of contro systems [7-9], contro of their of simiarity due to purposefu change of the dynamic properties of externa infuences transformation channe and the properties of these infuences per se, incuding uncontroed ones search procedures. 2. Structure and description of a mutivariant mode contro system The integrated structure MvCS is shown in Figure, where the foowing notations are used: eements of the physica mode of a contro object materia and energy impacts of a physica mode informationa impacts measuring units, incuding incompete contro and measurement errors execution units, incuding the impementation errors of the contro signas (commands) cacuation units of data processing Z W : generaized vector of impact, incuding, respectivey, contro, externa and output effects of the physica mode y red reduced to the output disturbance effects as an integra evauation of uncontroed disturbances, expressed on a scae of output effects superscripts R, F, C,,, and * mean, respectivey, rea, fu-scae, compromise vaues of impact of the fu-scae contro object, impacts of its physica, physico-mathematica mode and the given vaues subscripts red and reduced impacts and number of a physica mode ACS the dotted ine indicates the presence of other parae contours connected to, the number of which equas to. The ACS structure shown in Figure corresponds to the contro system by deviation, the object of which is affected by uncontroed disturbances. The mathematica part of the system in genera is represented by the reations i y red f y y y red red i red u y red,, F,, y red,, i w Fy, red () (2) () (4) (5) (6) (7) (8) 2

4 IO Conf. Series: Earth and Environmenta Science 45 (206) 0200 IO ubishing doi:0.088/755-5/45//0200 W D W D D f f y red y red * f * y red * Contro system FM M Z Matching unit Z R y red CS MV generator (CDS) * * * * red * red * red y red y red Figure. Mutivariant mode contro system. y red where operator of the mathematica incrementa mode ( ACS) physico-mathematica modes of contro object,, number of modeed f contro aw of ACS F operation agorithm of mutivariant generator of time series data with given statistica properties i effects of reguatory impacts of the physica mode. Each ( in ) simutaneousy woring in MvCS physico-mathematica ACS shoud refect dynamic properties and operating conditions of the corresponding of the fu-scae system,,, which are generay different. To do this, mode and fu-scae ACS shoud be simiar []. Their simiarity is achieved in the mathematica part of the physico-mathematica mode due to purposefu change of (ACS simiarity contro []) either the coefficients vaues of operator i, or properties y of a time series reduced to the output of physico mathematica disturbance mode red, or both. Formation of i is carried out by changing the mathematica mode of the channe transformation of reguatory impacts of a physica mode i, in particuar through the use of specia corrective operators ic [0]. These disturbances y red with the specific properties are

5 IO Conf. Series: Earth and Environmenta Science 45 (206) 0200 IO ubishing doi:0.088/755-5/45//0200 formed using mutivariant generator of time series data with desired properties, based on agorithm [6], adapted to the mutivariant case.. ACS adjustment The integrated scheme of fu-scae ACS adjustment with the use of mutivariate physica and mathematica modes of the controed system being the part of MvCS is shown in Figure 2. It was used for contro system adjustment of the technoogica compex at the processing pant Matyushinsaya. The description of technica reaization of the compex is presented in []. Beow, as an exampe we consider the appication of this procedure for two ACS: the suspension density of a dense-media separator and dense-media hydrocycone. Adjustment of the surry density, fed to the separator and sump of hydrocycones power suppy, is performed in the ACS according to defection by diution of conditioned surry with additiona water. The structure of these fu-scae and physico-mathematica ACS (Figure ) is the same. The probem is presented in the foowing form. Given. The mathematica mode of conversion channes of controing impacts for dense-media separator and for dense-media cycone has the form ( s) Ts e where transfer coefficient, T time constant of inertia, τ - time of pure deay. s, (9). Matching of input and output effects of fu-scae contro object and its physica mode, =,..., 2. Evauation of the vaues reduced to the output of disturbances of fu-scae object and physica mode, =,...,. Assessment of simiarity of physica and fu-scae ACS, =,..., 4. Adjustment of the initia conditions of physica and mathematica ACS, =,..., 5. Simiarity contro of physico-mathematica ACS, =,..., 6. Adjustment of physico-mathematica ACS, =,..., 7. Recacuation of adjustment resuts to fu-scae ACS, =,..., Figure 2. Scheme of fu-scae ACS adjustment with appication of MvCS. 4

6 IO Conf. Series: Earth and Environmenta Science 45 (206) 0200 IO ubishing doi:0.088/755-5/45// arameters of, T, and τ modes of contro objects (dense-media separator and dense-media hydrocycone), estimates of which are given within the ranges [] for the dense-media separator m 2..8 % stroe 7.0 T 2.0 s (0) 5.0 τ 7.0 s for the dense-media hydrocycone m % stroe 7.0 T 2.0 s () 5.0 τ 7.0 s. The vaues of these coefficients were evauated at the stage of design and further specified experimentay during impementation in the oca and remote modes of operation.. The disturbances reduced to the output of fu-scaes objects, the estimates of which were cacuated by the nown pattern [2] on the basis of the initia data on the operation of fu-scae ACS using average vaues of the coefficients, T and τ from ranges (0) and (). The autocorreation functions (ACF) of the reduced disturbances were approximated by the expression: 2 red 2 red rred ( ) red e, (2) where dispersion of the reduced disturbance, α ACF coefficient, θ time of a shift between sections of a sequence of reduced disturbance. Average vaues of the reduced disturbances characteristics. for the dense-media separator red.05( ) m red 0. () for the dense-media hydrocycone red 0.0( ) m red 0.7. (4) 4. roportiona-integra aw of contro with the transfer function f ( s) i i pi s, (5) where p and i coefficients of its proportiona and integra part. 5

7 IO Conf. Series: Earth and Environmenta Science 45 (206) 0200 IO ubishing doi:0.088/755-5/45// Quaity criteria of ACS operation in the form contro mean-square errors F for the dense-media separator: q and q F for the dense-media hydrocycone q 2 and q2 for the physica mode q, where the superscripts F,, means fu-scae, physico-mathematica and physica and subscript and 2 dense-media separator and dense-media hydrocycone, respectivey. 6. Mutivariant physico-mathematica mode of the contro system MvCS, the structure of which corresponds to the scheme in Figure. The basic controed component of MvCS is a physica mode of the production unit []. The conversion channe mode of reguatory impacts of an object physica mode corresponds to expression (9) its coefficient vaues p =.6 C/min/% T p =.0 sec. τ p =.0 sec. The reduced disturbances to the physica mode output were cacuated simiary to the fu-scae object according to the scheme [2]. The normaized ACF, as we as the fu-scae reguation objects, was approximated by expression (2) with the parameters vaues red.4 ( C) y av.( C) red 0.. The contro aw of ACS mode is described by expression (5), with the foowing vaues of its superscripts coefficients, corresponding to the minimum contro mean-square error: =.875 i = Mutivariant generator of mode and fu-scae (data series) impacts with the given statistica properties, aowing the desired finite number of such data series to be simutaneousy formed. Required To determine the vaues of superscripts coefficients p and i of proportiona integra contro aw for fu-scae ACS of surry density of dense-media separator and dense-media hydrocycone. 4. The scheme and soution resuts The soution of the probem was carried out using MvCS, customized for ACS of production faciities, and the procedure of simutaneous adjustment of both physico-mathematica systems in accordance with the scheme shown in Figure 2 for. 2.. Matching of the input and output effects of the fu-scae contro faciity and physica mode of disturbances was carried out in this exampe by their reduction to the dimensioness data by normaizing the expression p Z F Z Z Z Z maх min min Z y, red (6) where Z max и Z min the maximum and minimum vaues of the corresponding variabes. 2. The cacuation of the reduced to the output of considered fu-scae objects and physica mode of perturbations was made by a singe scheme [2] for dimensioness data.. Simiarity of fu-scae ACS density surry of a dense-media separator and hydrocycone with the mode ACS, the controed component of which is a physica mode, was evauated by the correation coefficient between the characteristics of and with respect to the proximity of targeted indicators refecting the effectiveness of these systems [8]. As the atter the mean-square contro errors were used. As a resut of estimation of these ACS simiarities the foowing average sampe estimations of characteristics were obtained: 6

8 IO Conf. Series: Earth and Environmenta Science 45 (206) 0200 IO ubishing doi:0.088/755-5/45//0200 q F.04 q R.064 q r 072 r pf pf 2, qf and q where r pf and r pf 2 accordingy, the correation coefficient between the, qf and q 2. Comparison of the correation coefficient vaues and performance characteristics of ACS operation with the required for their simiarity [7-9] eads to the concusion about the absence of simiarity between the mode and fu-scae ACS. The vaues of the correation coefficient between the mean r square contro errors of fu-scae and a mode ACS is significanty ess than the required F = F qf q q 0.95±0.5. This concusion is confirmed by the vaues = 0.87 и F F q 2 2 q q = 0.44, which is much higher than the permitted eve of their deviation (0%). Thus, the ac of simiarity between the fu-scae and mode systems of ACS maes it necessary to deiberatey change (contro simiarity) dynamic properties of the mode ACS for estabishing their simiarity. 4. Adjustment of the initia conditions of physico-mathematica ACS was impemented via the foowing sequence of operations: ) opening of the negative feedbac of physica-mathematica ACS 2) evauation of deviations of reguatory impacts of fu-scae and physica ACS ) recacuation of these deviations with the operator for cacuation 4) further in accordance with the scheme in Figure the cacuation of the output impact vaue of physico-mathematica system of reguation. The impementation of the indicated above operations aows the vaue of the output impact at the output of ACS physico-mathematica mode to be defined, corresponding to the vaue of its fu-scae system. 5. Simiarity contro for both fu-scae ACSs was carried out due to changes in the reduced disturbances properties with the hep of MV generator (CDS), and due to changes in the operator parameters. The resuts in the form of properties vaues of conversion channe modes of reguating impacts and reduced disturbances of simiar ACS are given in the tabe beow. Figures () and (2) shown in the first row of the tabe in parentheses mean that a the characteristics and parameters reated to the dense-media separators are mared in the text by figure, and dense-media hydrocycones by figure Adjustment of mode ACSs was carried out in the mode of physico-mathematica simuation using search engine optimization techniques (deformabe poyhedron [4]) by the minimum of meansquare contro error. The foowing vaues of ACS adjustment for the dimensioness data on changes in input and output impacts of ACS physico-mathematica mode were obtained. for the dense-media separator п for the dense-media hydrocycone = 0.77 i = 0.0 = 0.86 p2 = 0.0 i2 q q 2 = 0.87 (7) = (8) 7

9 KTDMR206 IO Conf. Series: Earth and Environmenta Science 45 (206) 0200 IO ubishing doi:0.088/755-5/45//0200 Tabe. arameter vaues of ACS characteristics. Dense-media separator () σred Fu-scae data.00 Dense-media hydrocycone (2) Data of physico-mathematica modeing.00 Fu-scae data.00 Data of physico-mathematica modeing.00 αred T τ Recacuation of the parameter vaues of adjustment (7) and (8) for the condition of fu-scae ACSs functioning was made in accordance with the expressions [] ( 2 2 ) T 2 e 2 2 2T ( ) у K av 2 2 e 2 2. I I 2 yav (9) (20) The vaues obtained for these parameters aso for dimensioness data indicative of change in ACS effects are isted beow under (2) and (2) in the second ine under (22) and (24) the vaues of the same parameters in the natura scae of their change are given for the dense-media separator F = F = F p i q = (2) % stroe m % stroe m F = F = qf = 9.6 p i s m (22) for the dense-media hydrocycone F = К F = F p2 i2 q 2 = (2) % stroe m % stroe m F = F = q2f = 8.98 i2 p2 s m. (24) In the resut of the use of ACS adjustment vaues (22) and (24) in the fu-scae conditions and their further specification the concusion about the high efficiency of adjustment procedure with the use of physico-mathematica modeing was made. Deviations of fu-scae coefficient vaues from the mode ones and the vaues of intermediate moduus error of contro for these systems do not exceed 0%. In addition, the simutaneous execution of modeing experiments in the process of ACS adjustment aows the time and materia-energy resources associated with the functioning of the physica mode to be significanty reduced. It is aso important that the simuation modeing compex based on MvCS can be an effective too in the earning process for the soution of probems connected with testing, adjustment and study of ACS. 8

10 IO Conf. Series: Earth and Environmenta Science 45 (206) 0200 IO ubishing doi:0.088/755-5/45// Concusions The use of mutivariant contro systems of physico-mathematica modes is appropriate for adjustment of the automatic contro systems of production faciities, incuding for coa processing pants as we as in the training process of universities students and personne of industria enterprises and organizations. It is advisabe to appy the proposed adjustment process of contro systems that incude more compex structures of production faciities, particuary faciities with recycing, distributed contros, etc. 6. Acnowedgements The research is supported by the grant of the Russian Foundation for Basic Research, roject No References [] Myshyaev, Ivushin A A, Evtusheno V F et a 205 roc. of Int. Conf. on High Technoogies of Deveopment and se of Minera Resources (Novouznets: SibSI) pp 2 28 [2] Evtusheno V F, Myshyaev, Ivushin K A, Maarov G V, Burova E V 205 roc. of X A-Russian Conf. on Automation Systems in Education, Science and roduction (Novouznets: SibSI) pp [] Avdeev V 979 Ferrous Metaurgy 6 4 [4] Myshyaev and Evtusheno V F 2002 Forecasting in Contro Systems (Novouznets: SibSI) p 58 [5] Myshyaev, Evtusheno V F et a 20 Ferrous Metaurgy [6] Myshyaev, Evtusheno V F et a 204 roc. of A-Russian Conf. on Information and Teecommunication Systems and Technoogies (Kemerovo: KuzST) pp [7] Myshyaev, Evtusheno V F et a 202 Buetin of Siberian State Industria niversity (Novouznets: SibSI) [8] Myshyaev, Evtusheno V F et a 20 Ferrous Metaurgy [9] Evtusheno V F, Starovatsaya S N et a 20 roc. of IX A-Russian Conf. on Automation Systems in Education, Science and roduction (Novouznets: SibSI) pp 2 8 [0] Myshyaev, Evtusheno V F et a 200 Ferrous Metaurgy [] Grachev V V, Tsiryapina A V et a 20 roc. of IX A-Russian Conf. on Automation Systems in Education, Science and roduction (Novouznets: SibSI) 69 7 [2] Rotach V a 97 Dynamics Cacuations of Industria Automatic Contro Systems (M.: Energiya) p 49 [] Eme yanov S V, Korovin S K, Myshyaev 2007 Methods of Identification of Industria ants in Contro Systems (Kemerovo: Kuzbasvuzizdat) p 07 [4] Ryov A S 999 Methods of System Anaysis: Optimization (M.: Economics) p 255 9