35 resultados para MATHEMATICAL-MODEL

em Doria (National Library of Finland DSpace Services) - National Library of Finland, Finland


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The application of forced unsteady-state reactors in case of selective catalytic reduction of nitrogen oxides (NOx) with ammonia (NH3) is sustained by the fact that favorable temperature and composition distributions which cannot be achieved in any steady-state regime can be obtained by means of unsteady-state operations. In a normal way of operation the low exothermicity of the selective catalytic reduction (SCR) reaction (usually carried out in the range of 280-350°C) is not enough to maintain by itself the chemical reaction. A normal mode of operation usually requires supply of supplementary heat increasing in this way the overall process operation cost. Through forced unsteady-state operation, the main advantage that can be obtained when exothermic reactions take place is the possibility of trapping, beside the ammonia, the moving heat wave inside the catalytic bed. The unsteady state-operation enables the exploitation of the thermal storage capacity of the catalyticbed. The catalytic bed acts as a regenerative heat exchanger allowing auto-thermal behaviour when the adiabatic temperature rise is low. Finding the optimum reactor configuration, employing the most suitable operation model and identifying the reactor behavior are highly important steps in order to configure a proper device for industrial applications. The Reverse Flow Reactor (RFR) - a forced unsteady state reactor - corresponds to the above mentioned characteristics and may be employed as an efficient device for the treatment of dilute pollutant mixtures. As a main disadvantage, beside its advantages, the RFR presents the 'wash out' phenomena. This phenomenon represents emissions of unconverted reactants at every switch of the flow direction. As a consequence our attention was focused on finding an alternative reactor configuration for RFR which is not affected by the incontrollable emissions of unconverted reactants. In this respect the Reactor Network (RN) was investigated. Its configuration consists of several reactors connected in a closed sequence, simulating a moving bed by changing the reactants feeding position. In the RN the flow direction is maintained in the same way ensuring uniformcatalyst exploitation and in the same time the 'wash out' phenomena is annulated. The simulated moving bed (SMB) can operate in transient mode giving practically constant exit concentration and high conversion levels. The main advantage of the reactor network operation is emphasizedby the possibility to obtain auto-thermal behavior with nearly uniformcatalyst utilization. However, the reactor network presents only a small range of switching times which allow to reach and to maintain an ignited state. Even so a proper study of the complex behavior of the RN may give the necessary information to overcome all the difficulties that can appear in the RN operation. The unsteady-state reactors complexity arises from the fact that these reactor types are characterized by short contact times and complex interaction between heat and mass transportphenomena. Such complex interactions can give rise to a remarkable complex dynamic behavior characterized by a set of spatial-temporal patterns, chaotic changes in concentration and traveling waves of heat or chemical reactivity. The main efforts of the current research studies concern the improvement of contact modalities between reactants, the possibility of thermal wave storage inside the reactor and the improvement of the kinetic activity of the catalyst used. Paying attention to the above mentioned aspects is important when higher activity even at low feeding temperatures and low emissions of unconverted reactants are the main operation concerns. Also, the prediction of the reactor pseudo or steady-state performance (regarding the conversion, selectivity and thermal behavior) and the dynamicreactor response during exploitation are important aspects in finding the optimal control strategy for the forced unsteady state catalytic tubular reactors. The design of an adapted reactor requires knowledge about the influence of its operating conditions on the overall process performance and a precise evaluation of the operating parameters rage for which a sustained dynamic behavior is obtained. An apriori estimation of the system parameters result in diminution of the computational efforts. Usually the convergence of unsteady state reactor systems requires integration over hundreds of cycles depending on the initial guess of the parameter values. The investigation of various operation models and thermal transfer strategies give reliable means to obtain recuperative and regenerative devices which are capable to maintain an auto-thermal behavior in case of low exothermic reactions. In the present research work a gradual analysis of the SCR of NOx with ammonia process in forced unsteady-state reactors was realized. The investigation covers the presentationof the general problematic related to the effect of noxious emissions in the environment, the analysis of the suitable catalysts types for the process, the mathematical analysis approach for modeling and finding the system solutions and the experimental investigation of the device found to be more suitable for the present process. In order to gain information about the forced unsteady state reactor design, operation, important system parameters and their values, mathematical description, mathematicalmethod for solving systems of partial differential equations and other specific aspects, in a fast and easy way, and a case based reasoning (CBR) approach has been used. This approach, using the experience of past similarproblems and their adapted solutions, may provide a method for gaining informations and solutions for new problems related to the forced unsteady state reactors technology. As a consequence a CBR system was implemented and a corresponding tool was developed. Further on, grooving up the hypothesis of isothermal operation, the investigation by means of numerical simulation of the feasibility of the SCR of NOx with ammonia in the RFRand in the RN with variable feeding position was realized. The hypothesis of non-isothermal operation was taken into account because in our opinion ifa commercial catalyst is considered, is not possible to modify the chemical activity and its adsorptive capacity to improve the operation butis possible to change the operation regime. In order to identify the most suitable device for the unsteady state reduction of NOx with ammonia, considering the perspective of recuperative and regenerative devices, a comparative analysis of the above mentioned two devices performance was realized. The assumption of isothermal conditions in the beginningof the forced unsteadystate investigation allowed the simplification of the analysis enabling to focus on the impact of the conditions and mode of operation on the dynamic features caused by the trapping of one reactant in the reactor, without considering the impact of thermal effect on overall reactor performance. The non-isothermal system approach has been investigated in order to point out the important influence of the thermal effect on overall reactor performance, studying the possibility of RFR and RN utilization as recuperative and regenerative devices and the possibility of achieving a sustained auto-thermal behavior in case of lowexothermic reaction of SCR of NOx with ammonia and low temperature gasfeeding. Beside the influence of the thermal effect, the influence of the principal operating parameters, as switching time, inlet flow rate and initial catalyst temperature have been stressed. This analysis is important not only because it allows a comparison between the two devices and optimisation of the operation, but also the switching time is the main operating parameter. An appropriate choice of this parameter enables the fulfilment of the process constraints. The level of the conversions achieved, the more uniform temperature profiles, the uniformity ofcatalyst exploitation and the much simpler mode of operation imposed the RN as a much more suitable device for SCR of NOx with ammonia, in usual operation and also in the perspective of control strategy implementation. Theoretical simplified models have also been proposed in order to describe the forced unsteady state reactors performance and to estimate their internal temperature and concentration profiles. The general idea was to extend the study of catalytic reactor dynamics taking into account the perspectives that haven't been analyzed yet. The experimental investigation ofRN revealed a good agreement between the data obtained by model simulation and the ones obtained experimentally.

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Malaria continues to infect millions and kill hundreds of thousands of people worldwide each year, despite over a century of research and attempts to control and eliminate this infectious disease. Challenges such as the development and spread of drug resistant malaria parasites, insecticide resistance to mosquitoes, climate change, the presence of individuals with subpatent malaria infections which normally are asymptomatic and behavioral plasticity in the mosquito hinder the prospects of malaria control and elimination. In this thesis, mathematical models of malaria transmission and control that address the role of drug resistance, immunity, iron supplementation and anemia, immigration and visitation, and the presence of asymptomatic carriers in malaria transmission are developed. A within-host mathematical model of severe Plasmodium falciparum malaria is also developed. First, a deterministic mathematical model for transmission of antimalarial drug resistance parasites with superinfection is developed and analyzed. The possibility of increase in the risk of superinfection due to iron supplementation and fortification in malaria endemic areas is discussed. The model results calls upon stakeholders to weigh the pros and cons of iron supplementation to individuals living in malaria endemic regions. Second, a deterministic model of transmission of drug resistant malaria parasites, including the inflow of infective immigrants, is presented and analyzed. The optimal control theory is applied to this model to study the impact of various malaria and vector control strategies, such as screening of immigrants, treatment of drug-sensitive infections, treatment of drug-resistant infections, and the use of insecticide-treated bed nets and indoor spraying of mosquitoes. The results of the model emphasize the importance of using a combination of all four controls tools for effective malaria intervention. Next, a two-age-class mathematical model for malaria transmission with asymptomatic carriers is developed and analyzed. In development of this model, four possible control measures are analyzed: the use of long-lasting treated mosquito nets, indoor residual spraying, screening and treatment of symptomatic, and screening and treatment of asymptomatic individuals. The numerical results show that a disease-free equilibrium can be attained if all four control measures are used. A common pitfall for most epidemiological models is the absence of real data; model-based conclusions have to be drawn based on uncertain parameter values. In this thesis, an approach to study the robustness of optimal control solutions under such parameter uncertainty is presented. Numerical analysis of the optimal control problem in the presence of parameter uncertainty demonstrate the robustness of the optimal control approach that: when a comprehensive control strategy is used the main conclusions of the optimal control remain unchanged, even if inevitable variability remains in the control profiles. The results provide a promising framework for the design of cost-effective strategies for disease control with multiple interventions, even under considerable uncertainty of model parameters. Finally, a separate work modeling the within-host Plasmodium falciparum infection in humans is presented. The developed model allows re-infection of already-infected red blood cells. The model hypothesizes that in severe malaria due to parasite quest for survival and rapid multiplication, the Plasmodium falciparum can be absorbed in the already-infected red blood cells which accelerates the rupture rate and consequently cause anemia. Analysis of the model and parameter identifiability using Markov chain Monte Carlo methods is presented.

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Photosystem II (PSII) of oxygenic photosynthesis is susceptible to photoinhibition. Photoinhibition is defined as light induced damage resulting in turnover of the D1 protein subunit of the reaction center of PSII. Both visible and ultraviolet (UV) light cause photoinhibition. Photoinhibition induced by UV light damages the oxygen evolving complex (OEC) via absorption of UV photons by the Mn ion(s) of OEC. Under visible light, most of the earlier hypotheses assume that photoinhibition occurs when the rate of photon absorption by PSII antenna exceeds the use of the absorbed energy in photosynthesis. However, photoinhibition occurs at all light intensities with the same efficiency per photon. The aim of my thesis work was to build a model of photoinhibition that fits the experimental features of photoinhibition. I studied the role of electron transfer reactions of PSII in photoinhibition and found that changing the electron transfer rate had only minor influence on photoinhibition if light intensity was kept constant. Furthermore, quenching of antenna excitations protected less efficiently than it would protect if antenna chlorophylls were the only photoreceptors of photoinhibition. To identify photoreceptors of photoinhibition, I measured the action spectrum of photoinhibition. The action spectrum showed resemblance to the absorption spectra of Mn model compounds suggesting that the Mn cluster of OEC acts as a photoreceptor of photoinhibition under visible light, too. The role of Mn in photoinhibition was further supported by experiments showing that during photoinhibition OEC is damaged before electron transfer activity at the acceptor side of PSII is lost. Mn enzymes were found to be photosensitive under visible and UV light indicating that Mn-containing compounds, including OEC, are capable of functioning as photosensitizers both in visible and UV light. The experimental results above led to the Mn hypothesis of the mechanism of continuous-light-induced photoinhibition. According to the Mn hypothesis, excitation of Mn of OEC results in inhibition of electron donation from OEC to the oxidized primary donor P680+ both under UV and visible light. P680 is oxidized by photons absorbed by chlorophyll, and if not reduced by OEC, P680+ may cause harmful oxidation of other PSII components. Photoinhibition was also induced with intense laser pulses and it was found that the photoinhibitory efficiency increased in proportion to the square of pulse intensity suggesting that laser-pulse-induced photoinhibition is a two-photon reaction. I further developed the Mn hypothesis suggesting that the initial event in photoinhibition under both continuous and pulsed light is the same: Mn excitation that leads to the inhibition of electron donation from OEC to P680+. Under laser-pulse-illumination, another Mn-mediated inhibitory photoreaction occurs within the duration of the same pulse, whereas under continuous light, secondary damage is chlorophyll mediated. A mathematical model based on the Mn hypothesis was found to explain photoinhibition under continuous light, under flash illumination and under the combination of these two.

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Työn tavoitteena on laatia käsikirjamainen läpileikkaus levylämmönsiirtimen rakenteesta ja käytöstä lämpöpumppulaitteistoissa. Kylmäprosessin tarkastelun lisäksi on eri lähteistä haettu yhtälöitä lämmönsiirron ja painehäviönlaskentaan. Lähdeaineistona on käytetty lämmönsiirron oppikirjoja, joiden lisäksi on käyty läpi suuri joukko tieteellisen tutkimuksen julkaisemia tutkimusraportteja levylämmönsiirtimen mitoituksesta erilaisissa käyttökohteissa. Oppikirjoissa ei ole esitetty varsinaisesti levylämmönsiirtimen laskentamenetelmiä, vaan niissä esitetään lämmönsiirron perusyhtälöt. Varsinainen lämmönsiirtolevyprofiilin laskentaan perustuva lähdeaineisto on löytynyt lämmönsiirtoon erikoistuneista julkaisuista. Lämmönsiirto tapahtuu aina kuumemmasta kylmempään tilaan. Lämmönsiirto eri virtausaineiden välillä toteutetaan lämmönsiirtimien avulla. Lämmönsiirrintyyppejä on olemassa lukuisia, joista yksi yleisesti käytetty tyyppi on levylämmönsiirrin. Tässä konstruktiossa on mahdutettu paljon lämmönsiirtopintaa ulkomitoiltaan pieneen tilaan. Tämä siirrintyyppi on eduksi silloin, kun virtaavat aineet ovat puhtaita ja niillä ei ole likaavaa vaikutusta lämmönsiirtopinnoille. Lämpöpumpulla tarkoitetaan laitetta, jolla voidaan käyttää hyödyksi lämmönlähteen matalaa lämpötilatasoa nostamalla lämpötilatasoa kompressorin puristustyön avulla korkeampaan lämpötilatasoon. Lämpöpumppulaitteiston toiminta perustuu kylmäprosessin toimintaan. Kylmäprosessin läpikäynti auttaa lukijaa hahmottamaan, millainen prosessi on kysymyksessä ja mitä komponentteja liittyy kylmäprosessiin. Tässä diplomityössä esitetyt yhtälöt antavat suuntaa, millä tavalla levylämmönsiirtimien ominaisuuksia voidaan laskea ja mitkä tekijät vaikuttavat siirtimien mitoittamiseen. Tarkemmat vaihdinkohtaiset laskentakorrelaatiot muotoutuvat vasta sitten, kun valmis tuote on testattu laboratorio-olosuhteissa ja siitä on saatu lämpötila-, virtaus- ja painesuhteet selville. Tämän jälkeen voidaan mittaustuloksiin perustuen rakentaa matemaattinen malli, jolla laskennallisesti määritelläänvaihtimien ominaisuudet. Lisäksi on esitetty yleisiä tapoja, joilla voidaan määritellä lämmönsiirtimien lämpöpintoja.

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Problems of the designing active magnet bearingcontrol are developed. The estimation controller are designed and applied to a rigid rotor. The mathematical model of the active magnet bearing controller is developed. This mathematical model is realized on a DSP. The results of this realization are analyzed. The conclusions about the digital signal processing are made.

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Thisresearch deals with the dynamic modeling of gas lubricated tilting pad journal bearings provided with spring supported pads, including experimental verification of the computation. On the basis of a mathematical model of a film bearing, a computer program has been developed, which can be used for the simulation of a special type of tilting pad gas journal bearing supported by a rotary spring under different loading conditions time dependently (transient running conditions due to geometry variations in time externally imposed). On the basis of literature, different transformations have been used in the model to achieve simpler calculation. The numerical simulation is used to solve a non-stationary case of a gasfilm. The simulation results were compared with literature results in a stationary case (steady running conditions) and they were found to be equal. In addition to this, comparisons were made with a number of stationary and non-stationary bearing tests, which were performed at Lappeenranta University of Technology using bearings designed with the simulation program. A study was also made using numerical simulation and literature to establish the influence of the different bearing parameters on the stability of the bearing. Comparison work was done with literature on tilting pad gas bearings. This bearing type is rarely used. One literature reference has studied the same bearing type as that used in LUT. A new design of tilting pad gas bearing is introduced. It is based on a stainless steel body and electron beam welding of the bearing parts. It has good operation characteristics and is easier to tune and faster to manufacture than traditional constructions. It is also suitable for large serial production.

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Tässä diplomityössä tutustutaan IGBT:n ja tehodiodin rakenteisiin, lämmön muodostumiseen kyseisissä komponenteissa sekä menetelmiin, joilla komponenttien lämpötilat voidaan määrittää. Työssä suunnitellaan ja rakennetaan mittausjärjestelmä, jolla IGBT:n ja tehodiodin lämpötilat voidaan määrittää suoraan mittaamalla sekä matemaattisten mallien avulla. Mittausjärjestelmä koostuu DC-chopper -kytkennästä, kuormavirran, välipiirin jännitteen sekä lämpötilan mittauksista. Lämpötilan mittauksissa käytettiin komponenttien pintoihin liitettyjä termopareja. Matemaattisia malleja varten mittausjärjestelmään lisättiin välipiirin jännitteen sekä kuormavirran mittaus. Laitteiston ohjaus sekä mittaustulosten tallentaminen toteutettiin dSPACE -laitteistolla. Mittausjärjestelmän toimivuus testattiin Lappeenrannan teknillisen yliopiston Säätötekniikan laboratoriossa tehdyillä mittauksilla.

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Työssä johdettiin sähköisen lineaariservomoottorijärjestelmän dynaaminen malli. Lineaarimoottori on keksintönä vanha, mutta vasta viimeaikoina kestomagneettimateriaalien kehittyessä ja halvetessa lineaarimoottorista on tullut varteenotettava vaihtoehto pyörivän moottorin ja lineaarisen liikkeen toteuttavan mekanismin yhdistelmälle. Kestomagnetoituja lineaarimoottoreita käytetään sovelluksissa, joissa tarvitaan tarkkaa paikoitusta ja nopeudella ja kiihtyvyydellä on suuret vaatimukset. Moottorimalli toteutettiin vuorovaikutteisena simulointimallina. Moottorimalli, josta saatiin moottorin voima, rakennettiin MatLabâ 6.0/Simulinkâ –ohjelmalle ja moottoriin kiinnitetyn mekaniikan malli ADAMS 10.0 –ohjelmalle. Mallit on liitetty tämän jälkeen vuorovaikutteiseksi simulointimalliksi. Simuloinnista saatuja tuloksia on verrattu koneautomaation laboratorioon hankitun lineaarimoottorijärjestelmän mitattuihin vasteisiin.

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Taajuudenmuuttajan kytkennän synnyttämä nopea jännitemuutos aiheuttaa pitkään moottorikaapeliin sähköisen värähtelyilmiön. Ilmiö on tullut erityisesti esille uusien nopeasti kytkevien puolijohdetehokytkimien ilmestyttyä markkinoille. Taajuudenmuuttajan lähtöön asennettu jännitteen nousunopeutta rajoittava suodin vähentää kaapelivärähtelyä, mutta riittävän pitkässä kaapelissa värähtely on voimakasta lähtösuotimesta huolimatta. Kaapelivärähtelyilmiön seurauksena moottorikaapelin taajuudenmuuttajan puoleiseen päähän syntyy voimakas virtavärähtely ja moottorin puoleiseen päähän voimakas jännitevärähtely. Sähkökäyttöjen vektorisäätöalgoritmit tekevät ohjauspäätöksiä moottorikaapelin taajuudenmuuttajan päästä tehtyjen virtamittausten perusteella. Säädön päätösväli on niin lyhyt, että kaapelin virtavärähtely ehtii häiritä säädön toimintaa. Tässä työssä on esitetty kaapelivärähtelyä kuvaava taajuudenmuuttajan lähtösuotimen huomioon ottava siirtofunktioperustainen matemaattinen malli. Mallin avulla kaapelivärähtelyilmiötä voi analysoida lineaarisen säätöteorian menetelmillä. Virtavärähtelyn moottorisäätöön tuomiin ongelmiin ratkaisuksi on esitetty virran mittasignaalin käsittelemistä analogisella ja digitaalisella suotimella. Simulointitulosten perusteella ratkaisua voidaan pitää toimivana. Lopuksi esitetään, kuinka avaruusvektoriteorian mukaista induktiomoottorimallia ja kaapelivärähtelymallia voidaan simuloida yhdessä.

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Tälle diplomityölle on antanut alkusysäyksen tarve kehittää käytössä olevaa meesauunin simulointiohjelmaa. Simulointiohjelma mallintaa meesauunin stationaaritilan toimintaa. Sillä voidaan tutkia uunin konstruktion muutosten vaikutuksia uunin toimintaan. Ohjelma on tehty 1980-luvun alkupuolella. Sen aikaisten tietokoneiden laskentatehojen vuoksi ohjelman käyttämään laskentamalliin on jouduttu tekemään joukko erilaisia yksinkertaistuksia laskenta-ajan lyhentämiseksi. Tässä diplomityössä keskityttiin tutkimaan meesauunin polttovyöhykkeen lämmönsiirron ja palamisen mallinnusta. Työssä luotiin aluksi tarvittavat massa- ja energiataseet sekä esitettiin tarvittavat lämmönsiirtoyhtälöt. Sen jälkeen kehitettiin uusi polttoaineen 1D-palamismalli. Palamismalli tehtiin VTT:n tekemien 3D-mallinnusten perusteella. Polttoaineina käytettiin maakaasua ja polttoöljyä. Uusi palamismalli lisättiin simulointiohjelmaan. Lisäksi simulointiohjelmasta muutettiin savukaasun emissiviteetin laskenta ja lämmönsiirto uunin ulkopinnasta ympäristöön. Tuloksena saatiin aikaan uusi tarkempi kuvaus lämmönsiirrosta ja palamisesta meesauunissa.

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Työn tavoitteena on selvittää, miten perustajaurakoitsijan raportointikauden tulos muodostuu yksittäisen rakennusprojektin tasolla ja miten eri tekijät vaikuttavat raportoitavaan tulokseen. Julkisesti noteeratun yhtiön on noudatettava kansainvälisiä tilinpäätösstandardeja. Tällöin perustajaurakointia harjoittavan yrityksen raportointikauden tulokseksi muodostuu tuloutettavan valmistusasteen mukainen osa projektin erilliskatteesta. Tällainen tuloutusmenetelmä perustuu projektin lopputulosennusteisiin kokonaistuotoista ja -kustannuksista. Tutkimuksessa arvioidaan kustannus- ja tuottoennusteiden arviointiepätarkkuuksien vaikutusta raportointikausien tuloksiin rakennusprojektin eri vaiheissa. Analyysityökaluksi kehitetään matemaattinen malli, jolla voidaan erottaa arviointiepätarkkuuksien vaikutus raportointikauden tuloksesta. Mallin avulla epätarkkuuksia arvioidaan herkkyysanalyysillä sekä esimerkeillä. Tutkimus osoittaa tuloutettavan valmistusasteen (IAS%) olevan keskeinen vaikuttaja tuloksen vaihtelulle, kun ennusteita tarkennetaan projektin edetessä. Kustannusennusteen nähdään olevan tuloksen kannalta kriittisempi ennuste, mikä korostaa projektiseurannan merkitystä. Lisäksi tutkimus osoittaa riskivarauksen erinomaisuuden raportointiteknisenä keinona vähentää tuloksen vaihtelua.

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Tuotantotehokkuus näyttelee yhä suurempaa roolia teollisuudessa, minkä vuoksi myös pakkauslinjas­toille joudutaan asettamaan suuria vaatimuksia. Usein leik­kaus- ja kappaleensiirtosovelluksissa käyte­tään lineaarisia ruuvikäyttöjä, jotka voitaisiin tietyin edellytyksin korvata halvemmilla ja osittain suori­tuskykyisimmillä hammashihnavetoisilla johteilla. Yleensä paikkasäädetty työsolu muodostuu kahden tai kolmen eri koordinaatisto­akselin suuntaan asen­netuista johteista. Tällaisen työsolun paikoitustarkkuuteen vaikuttavat muun muassa käytetty säätöra­kenne, moottorisäätöketjun viiveet, sekä laitteiston eri epälineaarisuudet, kuten kitka. Tässä työssä esitetään lineaarisen hammashihnaservokäytön dynaamista käytöstä kuvaava matemaatti­nen malli ja laaditaan mallin pohjalta laitteen simulointimalli. Mallin toimivuus varmistetaan käytän­nön identifiointitesteillä. Lisäksi työssä tut­kitaan, kuinka hyvään suorituskykyyn lineaarinen hammas­hihnaservokäyttö kyke­nee, jos teollisuudessa paikoitussäätörakenteena tyypillisesti käytetty kaskadira­kenne tai PID-rakenne korvataan kehittyneemmällä mallipohjaisella tilasäädinra­kenteella. Säädön toi­mintaa arvioidaan simulointien ja koelaitteistolla suoritetta­vien mittaus­ten perusteella.

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Natriumhypokloriittia voidaan valmistaa kloorista ja lipeästä jatkuvatoimisessa absorberissa. Tässä työssä tutkittiin kokeellisesti, miten kaasun ja nesteen virtausnopeudet vaikuttavat täytekappalekolonnin tulvimiseen ja painehäviöön, kuinka nopeasti kloori absorboituu lipeään ja kuinka suuri hypokloriittiliuoksen kierrätys tarvitaan, ettei hypokloriitti ala hajota. Lisäksi luotiin matemaattinen malli, jolla voidaan mitoittaa jatkuvatoiminen vastavirtaperiaatteella toimiva natriumhypokloriittireaktori. Kloori–lipeäsysteemin havaittiin tulvivan suuremmilla virtausnopeuksilla kuin ilma–vesisysteemin. Tosin osa kloorista absorboituu jo ennen täytekappalekerrosta, minkä vuoksi kaasun todellinen virtausnopeus täytekappalekerroksen alaosassa on pienempi kuin mitattu arvo. Kolonnin painehäviö nousee erittäin jyrkästi tulvimispisteen läheisyydessä. Koska kloori absorboituu lähes täydellisesti ja vain kolonnin alaosa tulvii, voidaan kolonnia painehäviön kannalta operoida lähellä tulvimispistettä. Sekä mallinnuksen että koetulosten perusteella yli 99,99 % kloorista absorboituu koeolosuhteissa kahden metrin täytekappalekerroksessa. Nopea absorptio johtuu erittäin nopeasta, irreversiibelistä kloorin reaktiosta ja prosessille tyypillisestä natriumhydroksidikonversion rajoittamisesta alle 94 %:iin. Jotta varmistetaan, ettei hypokloriitti ala hajota, valmista hypokloriittiliuosta täytyy kierrättää kolonniin vähintään noin 4-kertainen määrä tuoreen lipeän syöttömäärän nähden.

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The dissertation is based on four articles dealing with recalcitrant lignin water purification. Lignin, a complicated substance and recalcitrant to most treatment technologies, inhibits seriously pulp and paper industry waste management. Therefore, lignin is studied, using WO as a process method for its degradation. A special attention is paid to the improvement in biodegradability and the reduction of lignin content, since they have special importance for any following biological treatment. In most cases wet oxidation is not used as a complete ' mineralization method but as a pre treatment in order to eliminate toxic components and to reduce the high level of organics produced. The combination of wet oxidation with a biological treatment can be a good option due to its effectiveness and its relatively low technology cost. The literature part gives an overview of Advanced Oxidation Processes (AOPs). A hot oxidation process, wet oxidation (WO), is investigated in detail and is the AOP process used in the research. The background and main principles of wet oxidation, its industrial applications, the combination of wet oxidation with other water treatment technologies, principal reactions in WO, and key aspects of modelling and reaction kinetics are presented. There is also given a wood composition and lignin characterization (chemical composition, structure and origin), lignin containing waters, lignin degradation and reuse possibilities, and purification practices for lignin containing waters. The aim of the research was to investigate the effect of the operating conditions of WO, such as temperature, partial pressure of oxygen, pH and initial concentration of wastewater, on the efficiency, and to enhance the process and estimate optimal conditions for WO of recalcitrant lignin waters. Two different waters are studied (a lignin water model solution and debarking water from paper industry) to give as appropriate conditions as possible. Due to the great importance of re using and minimizing the residues of industries, further research is carried out using residual ash of an Estonian power plant as a catalyst in wet oxidation of lignin-containing water. Developing a kinetic model that includes in the prediction such parameters as TOC gives the opportunity to estimate the amount of emerging inorganic substances (degradation rate of waste) and not only the decrease of COD and BOD. The degradation target compound, lignin is included into the model through its COD value (CODligning). Such a kinetic model can be valuable in developing WO treatment processes for lignin containing waters, or other wastewaters containing one or more target compounds. In the first article, wet oxidation of "pure" lignin water was investigated as a model case with the aim of degrading lignin and enhancing water biodegradability. The experiments were performed at various temperatures (110 -190°C), partial oxygen pressures (0.5 -1.5 MPa) and pH (5, 9 and 12). The experiments showed that increasing the temperature notably improved the processes efficiency. 75% lignin reduction was detected at the lowest temperature tested and lignin removal improved to 100% at 190°C. The effect of temperature on the COD removal rate was lower, but clearly detectable. 53% of organics were oxidized at 190°C. The effect of pH occurred mostly on lignin removal. Increasing the pH enhanced the lignin removal efficiency from 60% to nearly 100%. A good biodegradability ratio (over 0.5) was generally achieved. The aim of the second article was to develop a mathematical model for "pure" lignin wet oxidation using lumped characteristics of water (COD, BOD, TOC) and lignin concentration. The model agreed well with the experimental data (R2 = 0.93 at pH 5 and 12) and concentration changes during wet oxidation followed adequately the experimental results. The model also showed correctly the trend of biodegradability (BOD/COD) changes. In the third article, the purpose of the research was to estimate optimal conditions for wet oxidation (WO) of debarking water from the paper industry. The WO experiments were' performed at various temperatures, partial oxygen pressures and pH. The experiments showed that lignin degradation and organics removal are affected remarkably by temperature and pH. 78-97% lignin reduction was detected at different WO conditions. Initial pH 12 caused faster removal of tannins/lignin content; but initial pH 5 was more effective for removal of total organics, represented by COD and TOC. Most of the decrease in organic substances concentrations occurred in the first 60 minutes. The aim of the fourth article was to compare the behaviour of two reaction kinetic models, based on experiments of wet oxidation of industrial debarking water under different conditions. The simpler model took into account only the changes in COD, BOD and TOC; the advanced model was similar to the model used in the second article. Comparing the results of the models, the second model was found to be more suitable for describing the kinetics of wet oxidation of debarking water. The significance of the reactions involved was compared on the basis of the model: for instance, lignin degraded first to other chemically oxidizable compounds rather than directly to biodegradable products. Catalytic wet oxidation of lignin containing waters is briefly presented at the end of the dissertation. Two completely different catalysts were used: a commercial Pt catalyst and waste power plant ash. CWO showed good performance using 1 g/L of residual ash gave lignin removal of 86% and COD removal of 39% at 150°C (a lower temperature and pressure than with WO). It was noted that the ash catalyst caused a remarkable removal rate for lignin degradation already during the pre heating for `zero' time, 58% of lignin was degraded. In general, wet oxidation is not recommended for use as a complete mineralization method, but as a pre treatment phase to eliminate toxic or difficultly biodegradable components and to reduce the high level of organics. Biological treatment is an appropriate post treatment method since easily biodegradable organic matter remains after the WO process. The combination of wet oxidation with subsequent biological treatment can be an effective option for the treatment of lignin containing waters.