Modellierung der Ruß- und NOx-Emissionen des Dieselmotors

Diesel Engine, Soot- and NOx-Emissions, Potency Product Approaches, zero-dimensional Models, optical and thermodynamical Methods, semi-empirical, Combustion Strategy, Injection Rate Shape

Two different 3D biogeochemical models for the NW mediterranean sea: validation with Meris data and intercomparison

Report for the scientific sojourn carried out at the University of New South Wales from February to June the 2007. Two different biogeochemical models are coupled to a three dimensional configuration of the Princeton Ocean Model (POM) for the Northwestern Mediterranean Sea (Ahumada and Cruzado, 2007). The first biogeochemical model (BLANES) is the three-dimensional version of the model described by Bahamon and Cruzado (2003) and computes the nitrogen fluxes through six compartments using semi-empirical descriptions of biological processes. The second biogeochemical model (BIOMEC) is the biomechanical NPZD model described in Baird et al. (2004), which uses a combination of physiological and physical descriptions to quantify the rates of planktonic interactions. Physical descriptions include, for example, the diffusion of nutrients to phytoplankton cells and the encounter rate of predators and prey. The link between physical and biogeochemical processes in both models is expressed by the advection-diffusion of the non-conservative tracers. The similarities in the mathematical formulation of the biogeochemical processes in the two models are exploited to determine the parameter set for the biomechanical model that best fits the parameter set used in the first model. Three years of integration have been carried out for each model to reach the so called perpetual year run for biogeochemical conditions. Outputs from both models are averaged monthly and then compared to remote sensing images obtained from sensor MERIS for chlorophyll.

Optimization of Snow Drifting Mitigation and Control Methods for Iowa Conditions Part II, TR-626, 2015

Blowing and drifting of snow is a major concern for transportation efficiency and road safety in regions where their development is common. One common way to mitigate snow drift on roadways is to install plastic snow fences. Correct design of snow fences is critical for road safety and maintaining the roads open during winter in the US Midwest and other states affected by large snow events during the winter season and to maintain costs related to accumulation of snow on the roads and repair of roads to minimum levels. Of critical importance for road safety is the protection against snow drifting in regions with narrow rights of way, where standard fences cannot be deployed at the recommended distance from the road. Designing snow fences requires sound engineering judgment and a thorough evaluation of the potential for snow blowing and drifting at the construction site. The evaluation includes site-specific design parameters typically obtained with semi-empirical relations characterizing the local transport conditions. Among the critical parameters involved in fence design and assessment of their post-construction efficiency is the quantification of the snow accumulation at fence sites. The present study proposes a joint experimental and numerical approach to monitor snow deposits around snow fences, quantitatively estimate snow deposits in the field, asses the efficiency and improve the design of snow fences. Snow deposit profiles were mapped using GPS based real-time kinematic surveys (RTK) conducted at the monitored field site during and after snow storms. The monitored site allowed testing different snow fence designs under close to identical conditions over four winter seasons. The study also discusses the detailed monitoring system and analysis of weather forecast and meteorological conditions at the monitored sites. A main goal of the present study was to assess the performance of lightweight plastic snow fences with a lower porosity than the typical 50% porosity used in standard designs of such fences. The field data collected during the first winter was used to identify the best design for snow fences with a porosity of 50%. Flow fields obtained from numerical simulations showed that the fence design that worked the best during the first winter induced the formation of an elongated area of small velocity magnitude close to the ground. This information was used to identify other candidates for optimum design of fences with a lower porosity. Two of the designs with a fence porosity of 30% that were found to perform well based on results of numerical simulations were tested in the field during the second winter along with the best performing design for fences with a porosity of 50%. Field data showed that the length of the snow deposit away from the fence was reduced by about 30% for the two proposed lower-porosity (30%) fence designs compared to the best design identified for fences with a porosity of 50%. Moreover, one of the lower-porosity designs tested in the field showed no significant snow deposition within the bottom gap region beneath the fence. Thus, a major outcome of this study is to recommend using plastic snow fences with a porosity of 30%. It is expected that this lower-porosity design will continue to work well for even more severe snow events or for successive snow events occurring during the same winter. The approach advocated in the present study allowed making general recommendations for optimizing the design of lower-porosity plastic snow fences. This approach can be extended to improve the design of other types of snow fences. Some preliminary work for living snow fences is also discussed. Another major contribution of this study is to propose, develop protocols and test a novel technique based on close range photogrammetry (CRP) to quantify the snow deposits trapped snow fences. As image data can be acquired continuously, the time evolution of the volume of snow retained by a snow fence during a storm or during a whole winter season can, in principle, be obtained. Moreover, CRP is a non-intrusive method that eliminates the need to perform man-made measurements during the storms, which are difficult and sometimes dangerous to perform. Presently, there is lots of empiricism in the design of snow fences due to lack of data on fence storage capacity on how snow deposits change with the fence design and snow storm characteristics and in the estimation of the main parameters used by the state DOTs to design snow fences at a given site. The availability of such information from CRP measurements should provide critical data for the evaluation of the performance of a certain snow fence design that is tested by the IDOT. As part of the present study, the novel CRP method is tested at several sites. The present study also discusses some attempts and preliminary work to determine the snow relocation coefficient which is one of the main variables that has to be estimated by IDOT engineers when using the standard snow fence design software (Snow Drift Profiler, Tabler, 2006). Our analysis showed that standard empirical formulas did not produce reasonable values when applied at the Iowa test sites monitored as part of the present study and that simple methods to estimate this variable are not reliable. The present study makes recommendations for the development of a new methodology based on Large Scale Particle Image Velocimetry that can directly measure the snow drift fluxes and the amount of snow relocated by the fence.

Numerical and ExperimentalModelling of Gas Flow and Heat Transfer in the Air Gap of An Electric Machine

This work deals with the cooling of high-speed electric machines, such as motors and generators, through an air gap. It consists of numerical and experimental modelling of gas flow and heat transfer in an annular channel. Velocity and temperature profiles are modelled in the air gap of a high-speed testmachine. Local and mean heat transfer coefficients and total friction coefficients are attained for a smooth rotor-stator combination at a large velocity range. The aim is to solve the heat transfer numerically and experimentally. The FINFLO software, developed at Helsinki University of Technology, has been used in the flow solution, and the commercial IGG and Field view programs for the grid generation and post processing. The annular channel is discretized as a sector mesh. Calculation is performed with constant mass flow rate on six rotational speeds. The effect of turbulence is calculated using three turbulence models. The friction coefficient and velocity factor are attained via total friction power. The first part of experimental section consists of finding the proper sensors and calibrating them in a straight pipe. After preliminary tests, a RdF-sensor is glued on the walls of stator and rotor surfaces. Telemetry is needed to be able to measure the heat transfer coefficients at the rotor. The mean heat transfer coefficients are measured in a test machine on four cooling air mass flow rates at a wide Couette Reynolds number range. The calculated values concerning the friction and heat transfer coefficients are compared with measured and semi-empirical data. Heat is transferred from the hotter stator and rotor surfaces to the coolerair flow in the air gap, not from the rotor to the stator via the air gap, althought the stator temperature is lower than the rotor temperature. The calculatedfriction coefficients fits well with the semi-empirical equations and precedingmeasurements. On constant mass flow rate the rotor heat transfer coefficient attains a saturation point at a higher rotational speed, while the heat transfer coefficient of the stator grows uniformly. The magnitudes of the heat transfer coefficients are almost constant with different turbulence models. The calibrationof sensors in a straight pipe is only an advisory step in the selection process. Telemetry is tested in the pipe conditions and compared to the same measurements with a plain sensor. The magnitudes of the measured data and the data from the semi-empirical equation are higher for the heat transfer coefficients than thenumerical data considered on the velocity range. Friction and heat transfer coefficients are presented in a large velocity range in the report. The goals are reached acceptably using numerical and experimental research. The next challenge is to achieve results for grooved stator-rotor combinations. The work contains also results for an air gap with a grooved stator with 36 slots. The velocity field by the numerical method does not match in every respect the estimated flow mode. The absence of secondary Taylor vortices is evident when using time averagednumerical simulation.

Rullaussylinterin ja painotelan mallinnus kiinnirullaimen simulointiin

Diplomityössä tutkitaan kaupallisen simulointiohjelmiston soveltuvuutta nykyaikaisen kiinnirullaimen dynamiikan tutkimiseen. Kiinnostuksen kohteena on erityisesti kahden telan välinen nippi, sekä siinä tapahtuvat värähtelyt. Työssä mallinnetaan rullaussylinterin ja telapainolaitteen simulointimallit. Rullaussylinterin simulointimalli yhdistetään Lappeenrannan teknillisessä korkeakoulussa mallinnettuun tampuuritelan simulointimalliin, jolloin nippikontaktin tutkiminen on mahdollista. Simuloituja tuloksia verrataan todellisella laitteella tehtyihin mittauksiin sekä elementtimenetelmällä laskettuihin tuloksiin. Diplomityön mekaniikka mallinnetaan ADAMS-ohjelmistossa monikappaledynamiikan keinoin. Toimilaitteiden sekä säätöjärjestelmien kuvaukseen käytetään MATLAB Simulink-ohjelmistoa. Telojen joustavuuden mallinnuksessa käytetään hyväksi keskittyneiden massojen periaatetta. Järjestelmän hydraulipiirit mallinnetaan keskittyneiden paineiden teorian mukaisesti ja toimilaitteiden mallinnuksessa käytetään puoliempiiristä mallinnustekniikkaa. Työssä havaitaan monikappaledynamiikan soveltuvan kiinnirullaimen dynamiikan tutkimiseen. Kahden diplomityön tuloksena laaditun nippimallin avulla voidaan kuvata rullaustapahtumassa vaikuttavat voimat oikein. Värähtelymittausten perusteella voidaan tehdä karkeita johtopäätöksiä, mallin toimivuuden arvioimiseksi värähtelyjen kuvaamisessa, joskin mallin havaitaan vaativan lisätutkimusta ja kehitystyötä.

Reaaliaikainen virtuaalihydrauliikka osana todellista konejärjestelmää

Diplomityössä tutkittiin hydrauliikan reaaliaikasimulointia ja sen mahdollisuuksia tuotekehityksen apuvälineenä. Työssä käytettiin dSPACE:n reaaliaikasimulointiin valmistamia laitteita ja ohjelmia. Työssä luotiin Matlab/Simulink –ympäristöön tyypillisimmistä hydrauliikkakomponenttien puoliempiirisistä malleista koostuva komponenttikirjasto, joista kootut hydrauliikkapiirien mallit voitiin kääntää reaaliaikaympäristöön. Työn tavoitteena oli kehittää menetelmä, jonka avulla voidaan nopeuttaa ja helpottaa hydraulismekaanisten konejärjestelmien suunnittelua ja tuotekehitystä. Kehitetyt menetelmät perustuvat todellisen konejärjestelmän osaksi kytketyn reaaliaikaisen virtuaalihydrauliikan avulla laskettuun uuteen ohjaussignaaliin, jonka avulla voidaan todellisella hydrauliikalla kuvata virtuaalisen hydrauliikan vaikutukset todelliseen järjestelmään. Näin ollen muutokset voidaan siis tehdä virtuaaliseen hydrauliikkaan ja niiden vaikutukset nähdä todellisen järjestelmän käyttäytymisessä.

Trimmerin kapasiteetin kasvattaminen dynamiikan mallinnuksen avulla

Työn tavoitteena oli kasvattaa sahan dimensiolaitoksella käytettävän trimmerin rakenteellista kapasiteettia. Tavoitteeseen pyrittiin modernisoimalla trimmerin teräyksikköä käyttävää toimilaite ja teräyksikön säätö dynamiikan mallinnuksen avulla. Trimmerin teräyksikön dynamiikka mallinnettiin MATLAB-matematiikkaohjelmistolla kaksiulotteisena kinematiikkamallina ja kolmeulotteisena kinetiikkamallina. Dynamiikkamallien tulosten perusteella valittin teräyksikköä käyttävä toimilaite komponentteineen. Kinetiikkamalliin mallinnettiin trimmeriä käyttävä hydraulipiiri valittuine komponentteineen keskittyneiden paineiden ja puoliempiirisen mallinnuksen periaatteita käyttäen. Teräyksikön työkiertoa säätämään mallinnettiin suljettu takaisinkytketty säätöpiiri. Tuloksien perusteella valittiin optimaalinen toimilaitteen asemointigeometria ja todettiin mallinnetun järjestelmän täyttävän asetetut vaatimukset. Järjestelmää testattiin muuttamalla jarjestelman parametreja ja tutkimalla muutosten vaikutuksia jarjestelman toimintaan. Lisaksi tutkittiin lyhyesti terayksikon rakenteen keventamisen vaikutuksia.

Characterization Method for Comminution Behavior of Limestone and Fuel Ash in a Circulating Fluidized Bed Boiler

Työn tavoite oli kehittää karakterisointimenetelmät kalkkikiven ja polttoaineen tuhkan jauhautumisen ennustamiselle kiertoleijukattilan tulipesässä. Kiintoainekäyttäytymisen karakterisoinnilla ja mallintamisella voidaan tarkentaa tulipesän lämmönsiirron ja tuhkajaon ennustamista. Osittain kokeelliset karakterisointimenetelmät perustuvat kalkkikiven jauhautumiseen laboratoriokokoluokan leijutetussa kvartsiputkireaktorissa ja tuhkan jauhatumiseen rotaatiomyllyssä. Karakterisointimenetelmät ottavat huomioon eri-laiset toimintaolosuhteet kaupallisen kokoluokan kiertoleijukattiloissa. Menetelmät kelpoistettiin kaupallisen kokoluokan kiertoleijukattiloista mitattujen ja fraktioittaisella kiintoainemallilla mallinnettujen taseiden avulla. Kelpoistamistaseiden vähäisyydestä huolimatta karakterisointimenetelmät arvioitiin virhetarkastelujen perusteella järkeviksi. Karakterisointimenetelmien kehittämistä ja tarkentamista tullaan jatkamaan.

Reaction Kinetics and Viscosity Modelling in the Fusion Syntheses of Ca- and Ca/Mg-resinates

Rosin is a natural product from pine forests and it is used as a raw material in resinate syntheses. Resinates are polyvalent metal salts of rosin acids and especially Ca- and Ca/Mg- resinates find wide application in the printing ink industry. In this thesis, analytical methods were applied to increase general knowledge of resinate chemistry and the reaction kinetics was studied in order to model the non linear solution viscosity increase during resinate syntheses by the fusion method. Solution viscosity in toluene is an important quality factor for resinates to be used in printing inks. The concept of critical resinate concentration, c crit, was introduced to define an abrupt change in viscosity dependence on resinate concentration in the solution. The concept was then used to explain the non-inear solution viscosity increase during resinate syntheses. A semi empirical model with two estimated parameters was derived for the viscosity increase on the basis of apparent reaction kinetics. The model was used to control the viscosity and to predict the total reaction time of the resinate process. The kinetic data from the complex reaction media was obtained by acid value titration and by FTIR spectroscopic analyses using a conventional calibration method to measure the resinate concentration and the concentration of free rosin acids. A multivariate calibration method was successfully applied to make partial least square (PLS) models for monitoring acid value and solution viscosity in both mid-infrared (MIR) and near infrared (NIR) regions during the syntheses. The calibration models can be used for on line resinate process monitoring. In kinetic studies, two main reaction steps were observed during the syntheses. First a fast irreversible resination reaction occurs at 235 °C and then a slow thermal decarboxylation of rosin acids starts to take place at 265 °C. Rosin oil is formed during the decarboxylation reaction step causing significant mass loss as the rosin oil evaporates from the system while the viscosity increases to the target level. The mass balance of the syntheses was determined based on the resinate concentration increase during the decarboxylation reaction step. A mechanistic study of the decarboxylation reaction was based on the observation that resinate molecules are partly solvated by rosin acids during the syntheses. Different decarboxylation mechanisms were proposed for the free and solvating rosin acids. The deduced kinetic model supported the analytical data of the syntheses in a wide resinate concentration region, over a wide range of viscosity values and at different reaction temperatures. In addition, the application of the kinetic model to the modified resinate syntheses gave a good fit. A novel synthesis method with the addition of decarboxylated rosin (i.e. rosin oil) to the reaction mixture was introduced. The conversion of rosin acid to resinate was increased to the level necessary to obtain the target viscosity for the product at 235 °C. Due to a lower reaction temperature than in traditional fusion synthesis at 265 °C, thermal decarboxylation is avoided. As a consequence, the mass yield of the resinate syntheses can be increased from ca. 70% to almost 100% by recycling the added rosin oil.

Monivaiheisen höyryturbiinin optimointi

Tässä diplomityössä optimoitiin nelivaiheinen 1 MWe höyryturbiinin prototyyppimalli evoluutioalgoritmien avulla sekä tutkittiin optimoinnista saatuja kustannushyötyjä. Optimoinnissa käytettiin DE – algoritmia. Optimointi saatiin toimimaan, mutta optimoinnissa käytetyn laskentasovelluksen (semiempiirisiin yhtälöihin perustuvat mallit) luonteesta johtuen optimoinnin tarkkuus CFD – laskennalla suoritettuun tarkastusmallinnukseen verrattuna oli jonkin verran toivottua pienempi. Tulosten em. epätarkkuus olisi tuskin ollut vältettävissä, sillä ongelma johtui puoliempiirisiin laskentamalleihin liittyvistä lähtöoletusongelmista sekä epävarmuudesta sovitteiden absoluuttisista pätevyysalueista. Optimoinnin onnistumisen kannalta tällainen algebrallinen mallinnus oli kuitenkin välttämätöntä, koska esim. CFD-laskentaa ei olisi mitenkään voitu tehdä jokaisella optimointiaskeleella. Optimoinnin aikana ongelmia esiintyi silti konetehojen riittävyydessä sekä sellaisen sopivan rankaisumallin löytämisessä, joka pitäisi algoritmin matemaattisesti sallitulla alueella, muttei rajoittaisi liikaa optimoinnin edistymistä. Loput ongelmat johtuivat sovelluksen uutuudesta sekä täsmällisyysongelmista sovitteiden pätevyysalueiden käsittelyssä. Vaikka optimoinnista saatujen tulosten tarkkuus ei ollut aivan tavoitteen mukainen, oli niillä kuitenkin koneensuunnittelua edullisesti ohjaava vaikutus. DE – algoritmin avulla suoritetulla optimoinnilla saatiin turbiinista noin 2,2 % enemmän tehoja, joka tarkoittaa noin 15 000 € konekohtaista kustannushyötyä. Tämä on yritykselle erittäin merkittävä konekohtainen kustannushyöty. Loppujen lopuksi voitaneen sanoa, etteivät evoluutioalgoritmit olleet parhaimmillaan prototyyppituotteen optimoinnissa. Evoluutioalgoritmeilla teknisten laitteiden optimoinnissa piilee valtavasti mahdollisuuksia, mutta se vaatii kypsän sovelluskohteen, joka tunnetaan jo entuudestaan erinomaisesti tai on yksinkertainen ja aukottomasti laskettavissa.

Estudo experimental e teórico da redução de bases de Schiff derivadas da 3,3-difenilpropilamina

A series of seven Schiff bases have been synthesized from 3,3-diphenylpropilamine and substituted benzaldehydes. These imines were treated with NaBH4 in ethanol affording the corresponding amines in 98-55% yields. A molecular modeling study was performed with the Schiff bases in order to compare the theoretical parameters with the experimental results. The theoretical parameters were obtained by AM1 and PM3 semi-empirical methods. The analysis of charge, electron densities and LUMO coefficients suggested that the most favorable interactions should occur with Schiff bases containing electron-donating groups, in accordance with experimental yields, showing that the higher reactivity is due to higher electrophilic character of imine carbons.

Estudo eletroquímico e químico-quântico da oxidação do antidepressivo tricíclico amitriptilina

This work presents the electrochemical and quantum chemical studies of the oxidation of the tricyclic antidepressant amitriptyline (AM) employing a carbon-polyurethane composite electrode (GPU) in a 0.1 mol L-1 BR buffer. The electrochemical results showed that the oxidation of AM occurs irreversibly at potentials close to 830 mV with the loss of one electron and one proton and is controlled by reagent and product adsorption. According to the PM3 results, the atom C16 is the region of highest probability for the oxidation of AM since it has the largest charge variation.

On the application of knoevenagel condensation for the synthesis of benzylidene benzothiazine compounds and structural study

The synthesis and physico-chemical properties of new 6-acetylamino or 6-benzoyl-amino 2-benzylidene-4-methyl-4H-benzo[1,4]thiazin-3-ones and 6-benzoylamino or 6-nitro 2-benzylidene-4H-benzo[1,4]thiazin-3-ones are described. These benzylidene benzothiazine compounds were prepared by the Knoevenagel condensation with benzaldehydes. The configurations and conformations of benzylidene benzothiazine derivatives were optimised using the semi-empirical method AM1.

Uso de modelagem molecular no estudo dos conceitos de nucleofilicidade e basicidade

Molecular modeling enables the students to visualize the abstract relationships underlying theoretical concepts that explain experimental data on the molecular and atomic levels. With this aim we used the free software "Arguslab 4.0.1" (semi-empirical method) to study the reaction of 1-chloropropane with ethoxide in solution, known to lead to methyl propyl ether, through the S N2 mechanism, and propene, through the E2 mechanism. This tool allows users to calculate some properties (i. e. heat formation or electric charges) and to produce 3D images (molecular geometry, electrostatic potential surface, etc.) that render the comprehension of the factors underlying the reaction's progress, which are related to the structure of the reagents, and the process kinetic clearer and easier to understand by the students

Methods and Models for Accelerating Dynamic Simulation of Fluid Power Circuits

The objective of this dissertation is to improve the dynamic simulation of fluid power circuits. A fluid power circuit is a typical way to implement power transmission in mobile working machines, e.g. cranes, excavators etc. Dynamic simulation is an essential tool in developing controllability and energy-efficient solutions for mobile machines. Efficient dynamic simulation is the basic requirement for the real-time simulation. In the real-time simulation of fluid power circuits there exist numerical problems due to the software and methods used for modelling and integration. A simulation model of a fluid power circuit is typically created using differential and algebraic equations. Efficient numerical methods are required since differential equations must be solved in real time. Unfortunately, simulation software packages offer only a limited selection of numerical solvers. Numerical problems cause noise to the results, which in many cases leads the simulation run to fail. Mathematically the fluid power circuit models are stiff systems of ordinary differential equations. Numerical solution of the stiff systems can be improved by two alternative approaches. The first is to develop numerical solvers suitable for solving stiff systems. The second is to decrease the model stiffness itself by introducing models and algorithms that either decrease the highest eigenvalues or neglect them by introducing steady-state solutions of the stiff parts of the models. The thesis proposes novel methods using the latter approach. The study aims to develop practical methods usable in dynamic simulation of fluid power circuits using explicit fixed-step integration algorithms. In this thesis, twomechanisms whichmake the systemstiff are studied. These are the pressure drop approaching zero in the turbulent orifice model and the volume approaching zero in the equation of pressure build-up. These are the critical areas to which alternative methods for modelling and numerical simulation are proposed. Generally, in hydraulic power transmission systems the orifice flow is clearly in the turbulent area. The flow becomes laminar as the pressure drop over the orifice approaches zero only in rare situations. These are e.g. when a valve is closed, or an actuator is driven against an end stopper, or external force makes actuator to switch its direction during operation. This means that in terms of accuracy, the description of laminar flow is not necessary. But, unfortunately, when a purely turbulent description of the orifice is used, numerical problems occur when the pressure drop comes close to zero since the first derivative of flow with respect to the pressure drop approaches infinity when the pressure drop approaches zero. Furthermore, the second derivative becomes discontinuous, which causes numerical noise and an infinitely small integration step when a variable step integrator is used. A numerically efficient model for the orifice flow is proposed using a cubic spline function to describe the flow in the laminar and transition areas. Parameters for the cubic spline function are selected such that its first derivative is equal to the first derivative of the pure turbulent orifice flow model in the boundary condition. In the dynamic simulation of fluid power circuits, a tradeoff exists between accuracy and calculation speed. This investigation is made for the two-regime flow orifice model. Especially inside of many types of valves, as well as between them, there exist very small volumes. The integration of pressures in small fluid volumes causes numerical problems in fluid power circuit simulation. Particularly in realtime simulation, these numerical problems are a great weakness. The system stiffness approaches infinity as the fluid volume approaches zero. If fixed step explicit algorithms for solving ordinary differential equations (ODE) are used, the system stability would easily be lost when integrating pressures in small volumes. To solve the problem caused by small fluid volumes, a pseudo-dynamic solver is proposed. Instead of integration of the pressure in a small volume, the pressure is solved as a steady-state pressure created in a separate cascade loop by numerical integration. The hydraulic capacitance V/Be of the parts of the circuit whose pressures are solved by the pseudo-dynamic method should be orders of magnitude smaller than that of those partswhose pressures are integrated. The key advantage of this novel method is that the numerical problems caused by the small volumes are completely avoided. Also, the method is freely applicable regardless of the integration routine applied. The superiority of both above-mentioned methods is that they are suited for use together with the semi-empirical modelling method which necessarily does not require any geometrical data of the valves and actuators to be modelled. In this modelling method, most of the needed component information can be taken from the manufacturer’s nominal graphs. This thesis introduces the methods and shows several numerical examples to demonstrate how the proposed methods improve the dynamic simulation of various hydraulic circuits.