Solving Leontief Input-Output Model with Trapezoidal Fuzzy Numbers and Gauss-Seidel Algorithm

In this work a fuzzy linear system is used to solve Leontief input-output model with fuzzy entries. For solving this model, we assume that the consumption matrix from di erent sectors of the economy and demand are known. These assumptions heavily depend on the information obtained from the industries. Hence uncertainties are involved in this information. The aim of this work is to model these uncertainties and to address them by fuzzy entries such as fuzzy numbers and LR-type fuzzy numbers (triangular and trapezoidal). Fuzzy linear system has been developed using fuzzy data and it is solved using Gauss-Seidel algorithm. Numerical examples show the e ciency of this algorithm. The famous example from Prof. Leontief, where he solved the production levels for U.S. economy in 1958, is also further analyzed.

Selective catalytic reduction of nitrogen oxides with ammonia in forced unsteady state reactors - Case based reasoning and mathematical model simulation reasoning

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.

Massaräätälöintija modulointi parkettiliiketoiminnassa

Tässä diplomityössä tarkastellaan massaräätälöintiä ja modulointia parkettiliiketoiminnassa yhden case-yrityksen näkökulmasta. Työn tavoitteena on kuvata nykyinen toiminta ja luoda massaräätälöintiin ja modulointiin perustuva toimintamalli sekä selvittää uudistetun toimintamallin taloudelliset ja toiminnalliset vaikutukset. Kirjallisuustutkimuksessa tarkastellaan massaräätälöinnin ja moduloinnin käsitettä sekä näihin käsitteisiin liittyviä ohjauksellisia menetelmiä. Tutkimuksessa kuvataan edellä mainittujen käsitteiden perusmallit ja siirtyminen näiden mallien käyttämiseen. Diplomityön empiirisessä osassa tutkitaan massaräätälöinnin ja moduloinnin taloudellisia vaikutuksia case-yrityksessä. Taloudellisia vaikutuksia tutkittiin kolmella eri tavalla. Ensimmäisenä selvitettiin toimintamallin muutoksen vaikutus tuotantoon ja valmisvarastoon sitoutuneenvaihto-omaisuuden määrään. Tämän jälkeen tutkittiin vaikutukset tuotannon läpimenoaikoihin sekä tehtiin laskelmat toimintamallin muuttamisen vaatimista investoinneista ja niistä saavutettavista hyödyistä. Empiiriset tulokset osoittavat, että case-yrityksen nykyisessä toiminnassa on puutteita. Tuotantoon sitoutuu liikaa pääomaa ja tuotannon läpäisyajat ovat liian pitkiä asiakasvaatimuksiin nähden. Tulosten mukaan massaräätälöinnin ja moduloinnin keinoilla voidaan saavuttaa merkittäviä parannuksia tuotannon läpimenoon, pääoman sitoutumiseen ja saadaan aikaan mittavia rahallisia säästöjä. Tulosten perusteella suositellaan, että yritys ottaa käyttöön massaräätälöinnin ja moduloinnin menetelmät kuvatun toimintamallin mukaisesti.

Taloudellinen ja läpimenoajaltaan lyhyt ruiskupuristusmuotin valmistusprosessi

Tämän diplomityön tavoitteena oli löytää Perlos Tools Joensuun tehtaalle sopiva taloudellinen ja läpimenoajaltaan lyhyt ruiskupuristusmuotin valmistusprosessi. Kirjallisuusosiossa tarkastellaan valmistuksen prosessimalleja, esitellään tärkeimmät muotinvalmistuksen menetelmät, sekä nykytilan ja tulevaisuuden haasteet. Lisäksi tarkastellaan muotinvalmistuksen työajan ja kulujen jakaantumista, tärkeimpiä investointilaskelmia, sekä investointien perustelemista simulointien avulla. Tutkimusosiossa simuloidaan erilaisia prosessimalleja, selvitetään valmistusmenetelmienja koneiden vaikutusta muotinvalmistuksen läpimenoaikaan, sekä lasketaan investointien ja valmistuskoneiden vaikutukset takaisinmaksuaikoihin. Simulaation tavoitteena on asiaankuuluvien mallien, sopivien kysymysten sekä prosessimallien kehittämisen kautta tuottaa analysoitua informaatiota päätöksenteon tueksi. Tutkimustulosten perusteella ruiskupuristusmuotin valmistusprosessi on optimoitu. Optimoinnin tuloksena tarkasteltavalla yrityksellä on käytössään taloudellinen ja läpimenoajaltaan lyhyt ruiskupuristusmuotin valmistusprosessi.

Torque vibration model of axial-flux surface-mounted permanent magnet synchronous machine

In order that the radius and thus ununiform structure of the teeth and otherelectrical and magnetic parts of the machine may be taken into consideration the calculation of an axial flux permanent magnet machine is, conventionally, doneby means of 3D FEM-methods. This calculation procedure, however, requires a lotof time and computer recourses. This study proves that also analytical methods can be applied to perform the calculation successfully. The procedure of the analytical calculation can be summarized into following steps: first the magnet is divided into slices, which makes the calculation for each section individually, and then the parts are submitted to calculation of the final results. It is obvious that using this method can save a lot of designing and calculating time. Thecalculation program is designed to model the magnetic and electrical circuits of surface mounted axial flux permanent magnet synchronous machines in such a way, that it takes into account possible magnetic saturation of the iron parts. Theresult of the calculation is the torque of the motor including the vibrations. The motor geometry and the materials and either the torque or pole angle are defined and the motor can be fed with an arbitrary shape and amplitude of three-phase currents. There are no limits for the size and number of the pole pairs nor for many other factors. The calculation steps and the number of different sections of the magnet are selectable, but the calculation time is strongly depending on this. The results are compared to the measurements of real prototypes. The permanent magnet creates part of the flux in the magnetic circuit. The form and amplitude of the flux density in the air-gap depends on the geometry and material of the magnetic circuit, on the length of the air-gap and remanence flux density of the magnet. Slotting is taken into account by using the Carter factor in the slot opening area. The calculation is simple and fast if the shape of the magnetis a square and has no skew in relation to the stator slots. With a more complicated magnet shape the calculation has to be done in several sections. It is clear that according to the increasing number of sections also the result will become more accurate. In a radial flux motor all sections of the magnets create force with a same radius. In the case of an axial flux motor, each radial section creates force with a different radius and the torque is the sum of these. The magnetic circuit of the motor, consisting of the stator iron, rotor iron, air-gap, magnet and the slot, is modelled with a reluctance net, which considers the saturation of the iron. This means, that several iterations, in which the permeability is updated, has to be done in order to get final results. The motor torque is calculated using the instantaneous linkage flux and stator currents. Flux linkage is called the part of the flux that is created by the permanent magnets and the stator currents passing through the coils in stator teeth. The angle between this flux and the phase currents define the torque created by the magnetic circuit. Due to the winding structure of the stator and in order to limit the leakage flux the slot openings of the stator are normally not made of ferromagnetic material even though, in some cases, semimagnetic slot wedges are used. In the slot opening faces the flux enters the iron almost normally (tangentially with respect to the rotor flux) creating tangential forces in the rotor. This phenomenon iscalled cogging. The flux in the slot opening area on the different sides of theopening and in the different slot openings is not equal and so these forces do not compensate each other. In the calculation it is assumed that the flux entering the left side of the opening is the component left from the geometrical centre of the slot. This torque component together with the torque component calculated using the Lorenz force make the total torque of the motor. It is easy to assume that when all the magnet edges, where the derivative component of the magnet flux density is at its highest, enter the slot openings at the same time, this will have as a result a considerable cogging torque. To reduce the cogging torquethe magnet edges can be shaped so that they are not parallel to the stator slots, which is the common way to solve the problem. In doing so, the edge may be spread along the whole slot pitch and thus also the high derivative component willbe spread to occur equally along the rotation. Besides forming the magnets theymay also be placed somewhat asymmetric on the rotor surface. The asymmetric distribution can be made in many different ways. All the magnets may have a different deflection of the symmetrical centre point or they can be for example shiftedin pairs. There are some factors that limit the deflection. The first is that the magnets cannot overlap. The magnet shape and the relative width compared to the pole define the deflection in this case. The other factor is that a shifting of the poles limits the maximum torque of the motor. If the edges of adjacent magnets are very close to each other the leakage flux from one pole to the other increases reducing thus the air-gap magnetization. The asymmetric model needs some assumptions and simplifications in order to limit the size of the model and calculation time. The reluctance net is made for symmetric distribution. If the magnets are distributed asymmetrically the flux in the different pole pairs will not be exactly the same. Therefore, the assumption that the flux flows from the edges of the model to the next pole pairs, in the calculation model from one edgeto the other, is not correct. If it were wished for that this fact should be considered in multi-pole pair machines, this would mean that all the poles, in other words the whole machine, should be modelled in reluctance net. The error resulting from this wrong assumption is, nevertheless, irrelevant.

Tuotannonsuunnittelun ja sisäisen varastologistiikan kehittäminen tuottavuuden kannalta

Diplomityön tavoitteena on kehittää erään metsäteollisuusyrityksen tuotannon-suunnittelua ja sisäistä varastologistiikkaa tuottavuuden parantamiseksi. Työssä keskitytään välituotteista johtuvaan problematiikkaan. Ongelmana ovat suuret välituotevarastot ja toimintamalleissa sekä pelisäännöissä olevat puutteet. Työn päätavoitteena on uuden toimintamallin kehittäminen tuotannon- ja materiaalinohjaukseen. Työn teoriaosassa esitellään lyhyesti tuotannon- ja materiaalinohjausta sekä tuottavuutta. Työn empiirisessä osassa analysoidaan jatkojalostuksen tuotantoja sekä välituotevarastoja. Työssä selvitetään eri välituotteiden määrät ja varaston kiertonopeudet raaka-ainerullille. Analyysien perusteella kehitettiin uusi toimintamalli tuotannon- ja materiaalinohjaukseen. Työssä ehdotettiin myös varastoinvestointia ja jälkirullauskapasiteetin lisäystä, jotta optimaalinen toiminta olisi tulevaisuudessa mahdollista. Diplomityön seurauksena aloitetaan projekti, jonka tavoitteena on parantaa tehtaan sisäistä tehokkuutta. Vaikutukset näkyvät monissa toiminnoissa, kuten varastoissa, tuotannossa sekä myynnissä. Parannusehdotuksilla voidaan saavuttaa vuosittain muutaman miljoonan euron säästöt. Projektin yksi tärkeä tekijä on selvittää, kuinka toimintaidea olisi hyödynnettävissä yrityksen muissa tehtaissa.

Moottorimalliton skalaarisäätö

Työssä tutkitaan nopeusanturittoman vaihtovirtakäytön skalaarisia ohjaus- ja säätömenetelmiä. Työn alussa esitetään perusteoriat taajuusmuuttajista ja oikosulkumoottoreista. Tämän jälkeen esitellään yleisimmin kirjallisuudessa esiintyneet skalaariohjaukset ja –säädöt. Vektorisäätöä ja erityisesti moottoriparametrien vaikutusta säädön toimivuuteen esitellään lyhyesti. Työn tavoitteena on ACS800 taajuusmuuttajan skalaarisäädön tutkiminen. ACS800:n nykyinen skalaarisäätö on liian sidoksissa vektorisäätöön, joten simulointien ja kirjallisuustutkimuksen tarkoituksena on täysin vektorisäädöstä eriytetyn skalaarisäädön kehitysmahdollisuuksien tutkiminen. Kirjallisuudessa esiintyneiden säätöjen avulla muodostetaan diskreettiaikainen toteutus skalaarisäädölle vaihtovirtakäytössä, jossa on käytössä virran ja välipiirijännitteen takaisinkytkentä. Säädettävää moottoria mallinnetaan jatkuvaaikaisella L-sijaiskytkennällä. Välipiirin mallinnus toimii myös jatkuva-aikaisena lukuun ottamatta välipiirin tasavirtakomponenttia, joka muodostetaan virran takaisinkytkennän ja PWM-modulaattorin kytkinasentojen avulla. Simuloinnin tarkoituksena on mallintaa skalaarisäädön suurimpia ongelmia, kuten virta- ja välijännitesäätöä. Tuloksista voidaan päätellä, että perussäädöt toimivat moitteettomasti, mutta erityisesti virtasäätöä tulisi kehittää.

Pienen konepajayrityksen tuotekustannusmalli

Työn tavoitteena oli laatia pienen konepajayrityksen varaosien hinnoittelun avuksi helposti tietokoneella päivitettävä kustannuslaskentamalli. Kustannuslaskentamalli laadittiin tässä vaiheessa menekiltään yleisimmille osille, kuitenkin siten että mahdollisimman moni työvaihe tulisi tarkastelluksi. Aikaisempana pohjana käytössä ei ole ollut tarkkaa kustannuslaskentaa, joten työ täytyi aloittaa aivan perusteista, määrittelemällä kunkin tuotteen valmistusketjut ja eri työvaiheissa käytetyt ajat. Pienen yrityksen resursseista johtuen päädyttiin nojaamaan perinteiseen kustannuslaskentaan sen sijaan että oltaisiin käyty soveltamaan toimintolaskentaa.Tuloksena saatiin aikaan laskentamallit, joilla määritellään eri työvaiheille tuntikustannukset sekä näitä ja työvaiheiden kestoja hyväksikäyttäen lasketaan valituille osille omakustannushinnat. Mallia edelleen kehittämällä voidaan sitä laajentaa käsittämään muita valmistettavia osia sekä kokonaisia koneita. Jatkotoimenpiteinä ensisijaisen tärkeää on korvata malliin jääneet aika-arviot todellisilla työajoilla. Mikäli mallia halutaan edelleen laajentaa käsittämään kaikkea tuotantoa on yrityksen työajankäytön seurantaa kehitettävä nykyistä tarkemmaksi.

Lajinvaihtokustannusten vaikutus tuotevalikoiman kannattavuuteen

Asiakkaat vaativat yhä suurempaa tuotannon joustavuutta ja lyhyitä toimitusaikoja paperiteollisuudelta. Samanaikaisesti kiristyvä kilpailu ajaa yritykset tavoittelemaan parempaa kannattavuutta kasvattamalla tuotevalikoimaa. Edellä mainitut tekijät lisäävät lajinvaihtojen määrää ja aiheuttavat kustannuksia. Diplomityön pääasiallisena tavoitteena on selvittää kohdeyrityksen paperikoneen lajinvaihdoista aiheutuvat kustannukset ja niiden vaikutus tuotevalikoiman kannattavuuteen. Toisena merkittävänä tavoitteena voidaan mainita lajinvaihtokustannusten simulointimallin rakentaminen, jota voidaan käyttää apuna tuotannonsuunnittelussa. Lisäksi saatujen tutkimustulosten perusteella pyritään löytämään keinoja kannattavuuden parantamiseksi. Paperikoneella tehdyn seurannan avulla selvitettiin eri tyyppisten lajinvaihtojen aiheuttamat tuotannonmenetykset. Tämän perusteella laskettiin niiden kustannusvaikutukset. Tarkastelua laajennettiin kahden toteutuneen syklin avulla syklitasolle ja lopuksi tuotevalikoimatasolle. Lajinvaihtokustannukset lisääntyivät paperin laatusuureiden muutoksen kasvaessa. Kalanterointimuutokset osoittautuivat kalleimmiksi ja niiden määrä tulisi minimoida. Kustannukset eivät osoittautuneet syklitasolla kovin suuriksi, mutta laji- ja ajokohtaisesti ne ovat merkittäviä erityisesti pienivolyymisilla tuotteilla. Niiden ajofrekvenssin harventaminen vähentäisi kustannuksia ja parantaisi kannattavuutta. Lajinvaihto-kustannukset tulisi jatkossa huomioida tuotekustannuslaskennassa.

Ohutlevyosien valmistuskustannukset ja kansainvälinen hankintastrategia

Työn tarkoituksena on kehittää hankinnan päätöksentekoa tukeva ohutlevyosien valmistuskustannusten laskentamenetelmä toimintolaskentaan pohjautuen. Laskentamenetelmä koostuu valmistukseen kuluvan ajan laskennassa käytettävistä funktioista sekä konetuntihinnoista. Hankintatoimen päätöksistä käsitellään toimittajanvalintaa, jossa yhtenä vaihtoehtona on hankkiminen Kiinasta. Toimittajanvalinnan kriteereitä ovat tällöin hankintahinnan lisäksi kuljetuskustannukset, laatu sekä toimitusvarmuus. Myös kansainvälisen hankinnan Kiinasta erityispiirteitä käsitellään. Hankkiminen Kiinasta koetaan vielä melko ongelmallisena etenkin laadun ja toimitusvarmuuden osalta. Erityisen huomioitavaa on, että hankintahintojen alhaisuus on osakohtaista. Suurin riski hankinnan kannattavuudelle aiheutuu valuuttakursseista. Osto-organisaation yhteistyötä alihankkijoiden sekä muiden osastojen kanssa parantamalla voidaan välttää hankittavien ohutlevyosien laatuongelmia. Suomalaisten alihankkijoiden kanssa kustannuslaskentamallia avoimeen hinnoitteluun soveltamalla hankintakustannuksia voidaan alentaa.

Ultrafine grinding of FGD and phosphogypsum with an attrition bead mill and a jet mill : optimisation and modelling of grinding and mill comparison

Fine powders of minerals are used commonly in the paper and paint industry, and for ceramics. Research for utilizing of different waste materials in these applications is environmentally important. In this work, the ultrafine grinding of two waste gypsum materials, namely FGD (Flue Gas Desulphurisation) gypsum and phosphogypsum from a phosphoric acid plant, with the attrition bead mill and with the jet mill has been studied. The ' objective of this research was to test the suitability of the attrition bead mill and of the jet mill to produce gypsum powders with a particle size of a few microns. The grinding conditions were optimised by studying the influences of different operational grinding parameters on the grinding rate and on the energy consumption of the process in order to achieve a product fineness such as that required in the paper industry with as low energy consumption as possible. Based on experimental results, the most influential parameters in the attrition grinding were found to be the bead size, the stirrer type, and the stirring speed. The best conditions, based on the product fineness and specific energy consumption of grinding, for the attrition grinding process is to grind the material with small grinding beads and a high rotational speed of the stirrer. Also, by using some suitable grinding additive, a finer product is achieved with a lower energy consumption. In jet mill grinding the most influential parameters were the feed rate, the volumetric flow rate of the grinding air, and the height of the internal classification tube. The optimised condition for the jet is to grind with a small feed rate and with a large rate of volumetric flow rate of grinding air when the inside tube is low. The finer product with a larger rate of production was achieved with the attrition bead mill than with the jet mill, thus the attrition grinding is better for the ultrafine grinding of gypsum than the jet grinding. Finally the suitability of the population balance model for simulation of grinding processes has been studied with different S , B , and C functions. A new S function for the modelling of an attrition mill and a new C function for the modelling of a jet mill were developed. The suitability of the selected models with the developed grinding functions was tested by curve fitting the particle size distributions of the grinding products and then comparing the fitted size distributions to the measured particle sizes. According to the simulation results, the models are suitable for the estimation and simulation of the studied grinding processes.

Thermal modelling of semiconductor switches in three-level Neutral Point Clamped Medium Voltage DTC-inverter

The aim of this thesis is to investigate the thermal loading of medium voltage three-level NPC inverter’s semiconductor IGCT switches in different operation points. The objective is to reach both a fairly accurate off-line simulation program and also so simple a simulation model that its implementation into an embedded system could be reasonable in practice and a real time use should become feasible. Active loading limitation of the inverter can be realized with a thermal model which is practical in a real time use. Determining of the component heating has been divided into two parts; defining of component losses and establishing the structure of a thermal network. Basics of both parts are clarified. The simulation environment is Matlab-Simulink. Two different models are constructed – a more accurate one and a simplified one. Potential simplifications are clarified with the help of the first one. Simplifications are included in the latter model and the functionalities of both models are compared. When increasing the calculation time step a decreased number of considered components and time constants of the thermal network can be used in the simplified model. Heating of a switching component is dependent on its topological position and inverter’s operation point. The output frequency of the converter defines mainly which one of the switching components is – because of its losses and heating – the performance limiting component of the converter. Comparison of results given by different thermal models demonstrates that with larger time steps, describing of fast occurring switching losses becomes difficult. Generally articles and papers dealing with this subject are written for two-level inverters. Also inverters which apply direct torque control (DTC) are investigated rarely from the heating point of view. Hence, this thesis completes the former material.

Synthesis of percarboxylic acids in microreactor

Percarboxylic acids are commonly used as disinfection and bleaching agents in textile, paper, and fine chemical industries. All of these applications are based on the oxidative potential of these compounds. In spite of high interest in these chemicals, they are unstable and explosive chemicals, which increase the risk of synthesis processes and transportation. Therefore, the safety criteria in the production process should be considered. Microreactors represent a technology that efficiently utilizes safety advantages resulting from small scale. Therefore, microreactor technology was used in the synthesis of peracetic acid and performic acid. These percarboxylic acids were produced at different temperatures, residence times and catalyst i.e. sulfuric acid concentrations. Both synthesis reactions seemed to be rather fast because with performic acid equilibrium was reached in 4 min at 313 K and with peracetic acid in 10 min at 343 K. In addition, the experimental results were used to study the kinetics of the formation of performic acid and peracetic acid. The advantages of the microreactors in this study were the efficient temperature control even in very exothermic reaction and good mixing due to the short diffusion distances. Therefore, reaction rates were determined with high accuracy. Three different models were considered in order to estimate the kinetic parameters such as reaction rate constants and activation energies. From these three models, the laminar flow model with radial velocity distribution gave most precise parameters. However, sulfuric acid creates many drawbacks in this synthesis process. Therefore, a ´´greener´´ way to use heterogeneous catalyst in the synthesis of performic acid in microreactor was studied. The cation exchange resin, Dowex 50 Wx8, presented very high activity and a long life time in this reaction. In the presence of this catalyst, the equilibrium was reached in 120 second at 313 K which indicates a rather fast reaction. In addition, the safety advantages of microreactors were investigated in this study. Four different conventional methods were used. Production of peracetic acid was used as a test case, and the safety of one conventional batch process was compared with an on-site continuous microprocess. It was found that the conventional methods for the analysis of process safety might not be reliable and adequate for radically novel technology, such as microreactors. This is understandable because the conventional methods are partly based on experience, which is very limited in connection with totally novel technology. Therefore, one checklist-based method was developed to study the safety of intensified and novel processes at the early stage of process development. The checklist was formulated using the concept of layers of protection for a chemical process. The traditional and three intensified processes of hydrogen peroxide synthesis were selected as test cases. With these real cases, it was shown that several positive and negative effects on safety can be detected in process intensification. The general claim that safety is always improved by process intensification was questioned.