Tuulivoimakäytön verkkoliitynnät ja mittaukset

Tässä työssä tutkitaan muuttuvanopeuksisen tuulivoimakäytön verkkoliityntöjä, verkkomääräyksiä ja mittausmenetelmiä Euroopassa. Yleiset tuulivoimalaitoksen verkkomääräyksiin liittyvät asiat on selitetty standardisarjassa IEC 61000 ja mittauksiin liittyvät säännökset standardissa IEC 61400-21. Työssä selvitetään Euroopan yleiset verkkomääräykset ja vertaillaan niitä keskenään, sekä määritetään tärkeimmät mittaukset. Lisäksi esitellään eräs standardimittauksiin soveltuva mittalaite ja analysoidaan täystehomuokkaimen suorituskykyä tuulivoimapuistossa. Työssä havaittiin, että standardin mukaisten mittausten toteuttaminen ja analysointi on hyvin haastava prosessi. Verkkomääräysten eroavaisuudet aiheuttavat hankaluuksia tuulivoimalan valmistajan ja verkko-operaattorien välillä. Täten myös konvertterivalmistajan täytyy olla selvillä käytössä olevista verkkomääräyksistä ja standardeista.

Tehokerrointa korjaava skalaariohjaus puoliohjatussa ja kuusikytkintasasuuntaajassa

Verkon harmonisvirtoja rajoittavien standardien tiukentuessa joudutaan etenkin suuritehoisissa tehoelektronisissa laitteissa siirtymään aktiivisiin transistoriohjattuihin tasasuuntaajiin, jotka korjaavat tehokerrointa ja siten pienentävät verkkoon kytkeytyviä häiriövirtoja. Tässä diplomityössä esitellään yleisimpien kolmivaiheisten tasasuuntaajatopologioiden eroja ja vertaillaan puoliohjatun kolmikytkintopologian ja kuusikytkintopologian suorituskykyä tehokertoimen ja harmonissärön osalta, 16 kilowatin teholuokan taajuusmuuttajassa. Tasasuuntaajille tehtiin skalaariohjaukseen perustuva simulointimalli. Työn tavoitteena esitellään simulointitulokset harmonistason sekä tehokertoimen osalta. Työ liittyy Lappeenrannan teknillisen yliopiston sovelletun elektroniikan laboratorion ja Vacon Oyj:n yhteiseen hankkeeseen.

Pienitaajuinen radiosekoitin

Normaalisti radiovastaanottimet on luokiteltavissa suoriin vastaanottimiin ja superheterodynevastaanottimiin. Jälkimmäistä nimitetään tavallisesti supervastaanottimeksi. Molemman vastaanottimen oleellisiin osiin kuuluu antennin virityspiiri, supervastaanottimelle lisäksi paikallisoskillaattorin virityspiiri, mikä pitää virittää antennipiirin kanssa samanaikaisesti. Pienillä taajuuksilla, taajuudet luokassa kilo-Hertzejä tai pienemmillä, on antennipiirin viritys resonanssipiirin ominaisuuksista johtuen sitä kapeammalla kaistalla ja sitä hitaampaa mitä pienemmällä taajuudella vastaanotto tapahtuu. Lisäksi virityspiiri hyvyysluku Q on vaikea saada sopivaksi, mikäli viritys on muuten käytännöllinen, säädettävä resonanssipiiri. Vaadittaessa kiinteätaajuista viritystä on käytännöllistä hyödyntää sähkömekaanisia osia, siis keraamisia tai kvartsikiteitä. Koska kiteitten ja korkean hyvyysluvun piirin värähtely jatkuu useita värähtelyjaksoja ennen saapuneitten värähtelyjen sammumista, kestää myös kauan aikaa, ennen kuin värähtely piirissä on loppu. Pienitaajuinen resonanssipiiri saavuttaa maksimivirtansa hitaasti, jos hyvyysluku on iso, kun piiri alkaa johtaa resonanssitaajuista virtaa. Tässä työssä pyritään vastaanotinjärjestelyyn ongelmallisen, pientaajuisen virityspiirin käytön välttämiseksi. Toisena tavoitteena on saada aikaan vastaanotto siten, että tietty pienitaajuinen radiotaajuusalue voidaan kokonaisuudessaan vastaanottaa jatkuva-aikaisesti, ilman antennipiirin jatkuvaa virittämistä erillisille taajuuksille. Laaditaan kytkentä, joka mitoitetaan, simuloidaan ja mitataan.

On the Application of Beam on Elastic Foundation Theory to the Analysis of Stiffened Plate Strips

The main objective of this thesis is to show that plate strips subjected to transverse line loads can be analysed by using the beam on elastic foundation (BEF) approach. It is shown that the elastic behaviour of both the centre line section of a semi infinite plate supported along two edges, and the free edge of a cantilever plate strip can be accurately predicted by calculations based on the two parameter BEF theory. The transverse bending stiffness of the plate strip forms the foundation. The foundation modulus is shown, mathematically and physically, to be the zero order term of the fourth order differential equation governing the behaviour of BEF, whereas the torsion rigidity of the plate acts like pre tension in the second order term. Direct equivalence is obtained for harmonic line loading by comparing the differential equations of Levy's method (a simply supported plate) with the BEF method. By equating the second and zero order terms of the semi infinite BEF model for each harmonic component, two parameters are obtained for a simply supported plate of width B: the characteristic length, 1/ λ, and the normalized sum, n, being the effect of axial loading and stiffening resulting from the torsion stiffness, nlin. This procedure gives the following result for the first mode when a uniaxial stress field was assumed (ν = 0): 1/λ = √2B/π and nlin = 1. For constant line loading, which is the superimposition of harmonic components, slightly differing foundation parameters are obtained when the maximum deflection and bending moment values of the theoretical plate, with v = 0, and BEF analysis solutions are equated: 1 /λ= 1.47B/π and nlin. = 0.59 for a simply supported plate; and 1/λ = 0.99B/π and nlin = 0.25 for a fixed plate. The BEF parameters of the plate strip with a free edge are determined based solely on finite element analysis (FEA) results: 1/λ = 1.29B/π and nlin. = 0.65, where B is the double width of the cantilever plate strip. The stress biaxial, v > 0, is shown not to affect the values of the BEF parameters significantly the result of the geometric nonlinearity caused by in plane, axial and biaxial loading is studied theoretically by comparing the differential equations of Levy's method with the BEF approach. The BEF model is generalised to take into account the elastic rotation stiffness of the longitudinal edges. Finally, formulae are presented that take into account the effect of Poisson's ratio, and geometric non linearity, on bending behaviour resulting from axial and transverse inplane loading. It is also shown that the BEF parameters of the semi infinite model are valid for linear elastic analysis of a plate strip of finite length. The BEF model was verified by applying it to the analysis of bending stresses caused by misalignments in a laboratory test panel. In summary, it can be concluded that the advantages of the BEF theory are that it is a simple tool, and that it is accurate enough for specific stress analysis of semi infinite and finite plate bending problems.

Multilevel converter modulation: implementation and analysis

Multilevel converters provide an attractive solution to bring the benefits of speed-controlled rotational movement to high-power applications. Therefore, multilevel inverters have attracted wide interest in both the academic community and in the industry for the past two decades. In this doctoral thesis, modulation methods suitable especially for series connected H-bridge multilevel inverters are discussed. A concept of duty cycle modulation is presented and its modification is proposed. These methods are compared with other well-known modulation schemes, such as space-vector pulse width modulation and carrier-based modulation schemes. The advantage of the modified duty-cycle modulation is its algorithmic simplicity. A similar mathematical formulation for the original duty cycle modulation is proposed. The modified duty cycle modulation is shown to produce well-formed phase-to-neutral voltages that have lower total harmonic distortion than the space-vector pulse width modulation and the duty cycle modulation. The space-vector-based solution and the duty cycle modulation, on the other hand, result in a better-quality line-to-line voltage and current waveform. The voltage of the DC links in the modules of the series-connected H-bridge inverter are shown to fluctuate while they are under load. The fluctuation causes inaccuracies in the voltage production, which may result in a failure of the flux estimator in the controller. An extension for upper-level modulation schemes, which changes the switching instants of the inverter so that the output voltage meets the reference voltage accurately regardless of the DC link voltages, is proposed. The method is shown to reduce the error to a very low level when a sufficient switching frequency is used. An appropriate way to organize the switching instants of the multilevel inverter is to make only one-level steps at a time. This causes restrictions on the dynamical features of the modulation schemes. The produced voltage vector cannot be rotated several tens of degrees in a single switching period without violating the above-mentioned one-level-step rule. The dynamical capabilities of multilevel inverters are analyzed in this doctoral thesis, and it is shown that the multilevel inverters are capable of operating even in dynamically demanding metal industry applications. In addition to the discussion on modulation schemes, an overvoltage in multilevel converter drives caused by cable reflection is addressed. The voltage reflection phenomenon in drives with long feeder cables causes premature insulation deterioration and also affects the commonmode voltage, which is one of the main reasons for bearing currents. Bearing currents, on the other hand, cause fluting in the bearings, which results in premature bearing failure. The reflection phenomenon is traditionally prevented by filtering, but in this thesis, a modulationbased filterless method to mitigate the overvoltage in multilevel drives is proposed. Moreover, the mitigation method can be implemented as an extension for upper-level modulation schemes. The method exploits the oscillations caused by two consecutive voltage edges so that the sum of the oscillations results in a mitigated peak of the overvoltage. The applicability of the method is verified by simulations together with experiments with a full-scale prototype.

D-luokan audiovahvistimen pääteastetopologioiden vertailu kitaravahvistinsovelluksessa

Tässä työssä tutkitaan D-luokan audiovahvistimen pääteastetopologioiden eroja teknisen toiminnan, käytännön toteutuksen ja audiosignaalin laadun näkökulmista. Tutkimuksen perusteella valitaan yksi topologia kitaravahvistinsovellukseen, jossa modulointi on toteutettu Sigma-Delta-modulaattorilla. Pääteastetopologioiden tekninen toiminta selvitetään yksityiskohtaisesti virtojen kulkureittien avulla. Simulaatioilla tutkitaan suoja-ajan ja tulosignaalin variaatioiden vaikutusta lähtösignaalin kokonaisharmoniseen säröön (THD) ja selvitetään signaalin säröytymiseen vaikuttavien tekijöiden syitä D-luokan vahvistimen pääteasteessa.

St. Petersburg Court Chant and the Tradition of Eastern Slavic Church Singing

The present study examines the repertory of liturgical chant known as St. Petersburg Court Chant which emerged within the Imperial Court of St. Petersburg, Russia, and appeared in print in a number of revisions during the course of the 19th century, eventually to spread throughout the Russian Empire and even abroad. The study seeks answers to questions on the essence and composition of Court Chant, its history and liturgical background, and most importantly, its musical relationship to other repertories of Eastern Slavic chant. The research questions emerge from previous literary accounts of Court Chant (summarized in the Introduction), which have tended to be inaccurate and generally not based on critical research. The study is divided into eight main chapters. Chapter 1 provides a survey of the history of Eastern Slavic chant and the Imperial Court Chapel of St. Petersburg until 1917, with special emphasis on the history of singing traditional chant in polyphony, the status of the Court Chapel as a government authority, and its endeavours in publishing church music. Chapter 2 deals with the liturgical background of Eastern chant, the chant genres, and main repertories of Eastern Slavic chant. Chapter 3 concentrates on chant sources: it introduces the musical notations utilised, after which a typology of chant books is presented. The discussion continues with a survey of the sources of Court Chant and their content, the specimens selected for closer analysis, the comparative materials from other repertories, and ends with a commentary on some chant sources that have been excluded. The comparative sources include a specimen from around the beginning of the 12th century, a few manuscripts from the 17th century, and printed and manuscript chant books from the early 18th to early 20th century, covering the geographical area that delimits to the western Ukraine, Astrakhan, Nizhny Novgorod, and the Solovetsky Monastery. Chapter 4 presents the approach and methods used in the subsequent analytical comparisons. After a survey of the pitch organization of Eastern Slavic chant, the customary harmonization strategy of traditional chant polyphony is examined, according to which a method for meaningful analysis of the harmony is proposed. The method is based on the observation that the harmonic framework of chant polyphony derives from the standard pitch collection of monodic chant known as the Church Gamut, specific pitches of which form eight harmonic regions that behave like the usual tonalities of major and harmonic minor. Because of the considerable quantity of comparative chant forms, computer-assisted statistical methods are applied to the analysis of chant melodies. The primary chant forms and their respective comparative forms have been pre-processed into reduced chant prototypes and divided into redactions. The analyses are carried out by measuring the formal dissimilarities of the primary chant forms of the Court Chant repertory against each comparative form, and also by measuring the reciprocal dissimilarities of all chant versions in a redaction, the results of which are subjected to agglomerative hierarchical clustering in order to find out how the chant forms relate to each other. The dissimilarities are determined by applying a metric dissimilarity function that is based on the Levenshtein Distance. Chapter 5 provides the melodic and harmonic analyses of generic chants (chants used for multiple texts of different lengths), i.e., chants for stichera samoglasny and troparia, Chapter 6 of pseudo-generic chants (chants that are used for multiple texts but with certain restrictions), i.e., chants for heirmoi, prokeimena, and three other hymns, and Chapter 7 of non-generic chants, covering nine chants that in the Court repertory are not shared by multiple texts. The results are summarized and evaluated in Chapter 8. Accordingly, it can be established that, contrary to previous conceptions, melodically, Court Chant is in effect a full part of the wider Eastern Slavic chant tradition. Even if it is somewhat detached from the chant versions of the Synodal square-note chant books and the local tradition of Moscow, it is particularly close to chant forms of East Ukraine and some vernacular repertories from Russia. Respectively, the harmonization strategies of Court Chant do not show significant individuality in comparison with those of the available polyphonic comparative sources, the main difference being the part-writing, which generally conforms to western common practice standard, whereas the deviations from this tend to be more significant in other analysed repertories of polyphonic chant. Thus, insofar as the subsequent prevalence of Court Chant is not based on its forceful dissemination by authorities (as suggested in previous literature but for which little tangible evidence could be found in Chapter 1), in the present author’s interpretation, Court Chant attained its dominance principally because musically it was considered sufficiently traditional, and as a chant body supported by the government, was conveniently available in print in serviceable harmonizations.

Non-Markovian Dynamics and the Quantum-To-Classical Transition for Quantum Brownian Motion

In this Thesis I discuss the dynamics of the quantum Brownian motion model in harmonic potential. This paradigmatic model has an exact solution, making it possible to consider also analytically the non-Markovian dynamics. The issues covered in this Thesis are themed around decoherence. First, I consider decoherence as the mediator of quantum-to-classical transition. I examine five different definitions for nonclassicality of quantum states, and show how each definition gives qualitatively different times for the onset of classicality. In particular I have found that all characterizations of nonclassicality, apart from one based on the interference term in the Wigner function, result in a finite, rather than asymptotic, time for the emergence of classicality. Second, I examine the diverse effects which coupling to a non-Markovian, structured reservoir, has on our system. By comparing different types of Ohmic reservoirs, I derive some general conclusions on the role of the reservoir spectrum in both the short-time and the thermalization dynamics. Finally, I apply these results to two schemes for decoherence control. Both of the methods are based on the non-Markovian properties of the dynamics.

Energiansäästölamppujen vaikutukset pienjännitteisen sähkönjakeluverkon kuormitukseen ja häviöihin

Euroopan Unioni kieltää matalan hyötysuhteen lamppujen käyttämisen sekä sisä- että ulkovalaisimissa. Näin ollen matalan hyötysuhteen lamput, kuten perinteiset hehkulamput tulee vaihtaa paremman hyötysuhteen lamppuihin, kuten energiansäästölamppuihin. Energiansäästölampuissa 230 V, 50 Hz verkkosähkö muunnetaan valonlähteelle sopivaksi tehoelektroniikan avulla. 50 Hz perustaajuisen virran lisäksi energiansäästölamput ottavat verkosta harmonisia yliaaltoja. Harmoniset yliaallot aiheuttavat lisähäviöitä verkostokomponenteissa, kuten muuntajissa ja johdoissa. Tässä kandidaatintyössä tutkitaan millaisia vaikutuksia hehkulamppujen vaihtaminen energiansäästölamppuihin aiheuttaa pienjännitteisessä jakeluverkossa. Työssä tarkastellaan lyhyesti myös energiansäästölamppujen energiatehokkuutta, sekä sitä, millaisia rajoitteita standardit asettavat harmonisille yliaalloille.

Satelliittioskillaattorin jyrsintätyövaiheiden valmistusystävällisyyden analysointi

Tämän tutkimuksen aiheena on satelliittioskillaattorin jyrsintätyövaiheiden valmistusystävällisyyden analysointi. Tutkimuksen viitekehyksenä on DFM (design for manufacturing), johon kaikki päätelmät ja tulokset sidotaan. Tutkimuksen päätavoite on etsiä valmistusteknisiä ratkaisuja, joilla samanaikaisesti parannetaan, sekä oskillaattorin suorituskykyä, että sen valmistettavuutta noudattamalla DFM-sääntöjä. Suorituskyvyn näkökulmasta tärkeintä on oskillaattorin hyvyysluvun maksimointi. Tutkimuksessa käsitellään lyhyesti satelliittioskillaattorin porauksia, pinnoitusta ja asennusta, mutta pääpaino tutkimuksessa on oskillaattorin rungon jyrsintätyövaiheissa. Tässä työssä toteutettiin DFM-analyysi, jonka avulla pystyttiin helpottamaan lukuisia tuotannollisia ongelmia ja onnistuttiin löytämmään keinoja oskillaattorin suorituskyvyn parantamiseksi.

Modeling and Control of the Power Conversion Unit in a Solid Oxide Fuel Cell Environment

In this doctoral thesis, a power conversion unit for a 10 kWsolid oxide fuel cell is modeled, and a suitable control system is designed. The need for research was identified based on an observation that there was no information available about the characteristics of the solid oxide fuel cell from the perspective of power electronics and the control system, and suitable control methods had not previously been studied in the literature. In addition, because of the digital implementation of the control system, the inherent characteristics of the digital system had to be taken into account in the characteristics of the solid oxide fuel cell (SOFC). The characteristics of the solid oxide fuel cell as well the methods for the modeling and control of the DC/DC converter and the grid converter are studied by a literature survey. Based on the survey, the characteristics of the SOFC as an electrical power source are identified, and a solution to the interfacing of the SOFC in distributed generation is proposed. A mathematical model of the power conversion unit is provided, and the control design for the DC/DC converter and the grid converter is made based on the proposed interfacing solution. The limit cycling phenomenon is identified as a source of low-frequency current ripple, which is found to be insignificant when connected to a grid-tied converter. A method to mitigate a second harmonic originating from the grid interface is proposed, and practical considerations of the operation with the solid oxide fuel cell plant are presented. At the theoretical level, the thesis discusses and summarizes the methods to successfully derive a model for a DC/DC converter, a grid converter, and a power conversion unit. The results of this doctoral thesis can also be used in other applications, and the models and methods can be adopted to similar applications such as photovoltaic systems. When comparing the results with the objectives of the doctoral thesis, we may conclude that the objectives set for the work are met. In this doctoral thesis, theoretical and practical guidelines are presented for the successful control design to connect a SOFC-based distributed generation plant to the utility grid.

Identification of Some Additional Loss Components in High-Power Low-Voltage Permanent Magnet Generators

Permanent magnet generators (PMG) represent the cutting edge technology in modern wind mills. The efficiency remains high (over 90%) at partial loads. To improve the machine efficiency even further, every aspect of machine losses has to be analyzed. Additional losses are often given as a certain percentage without providing any detailed information about the actual calculation process; meanwhile, there are many design-dependent losses that have an effect on the total amount of additional losses and that have to be taken into consideration. Additional losses are most often eddy current losses in different parts of the machine. These losses are usually difficult to calculate in the design process. In this doctoral thesis, some additional losses are identified and modeled. Further, suggestions on how to minimize the losses are given. Iron losses can differ significantly between the measured no-load values and the loss values under load. In addition, with embedded magnet rotors, the quadrature-axis armature reaction adds losses to the stator iron by manipulating the harmonic content of the flux. It was, therefore, re-evaluated that in salient pole machines, to minimize the losses and the loss difference between the no-load and load operation, the flux density has to be kept below 1.5 T in the stator yoke, which is the traditional guideline for machine designers. Eddy current losses may occur in the end-winding area and in the support structure of the machine, that is, in the finger plate and the clamping ring. With construction steel, these losses account for 0.08% of the input power of the machine. These losses can be reduced almost to zero by using nonmagnetic stainless steel. In addition, the machine housing may be subjected to eddy current losses if the flux density exceeds 1.5 T in the stator yoke. Winding losses can rise rapidly when high frequencies and 10–15 mm high conductors are used. In general, minimizing the winding losses is simple. For example, it can be done by dividing the conductor into transposed subconductors. However, this comes with the expense of an increase in the DC resistance. In the doctoral thesis, a new method is presented to minimize the winding losses by applying a litz wire with noninsulated strands. The construction is the same as in a normal litz wire but the insulation between the subconductors has been left out. The idea is that the connection is kept weak to prevent harmful eddy currents from flowing. Moreover, the analytical solution for calculating the AC resistance factor of the litz-wire is supplemented by including an end-winding resistance in the analytical solution. A simple measurement device is developed to measure the AC resistance in the windings. In the case of a litz-wire with originally noninsulated strands, vacuum pressure impregnation (VPI) is used to insulate the subconductors. In one of the two cases studied, the VPI affected the AC resistance factor, but in the other case, it did not have any effect. However, more research is needed to determine the effect of the VPI on litz-wire with noninsulated strands. An empirical model is developed to calculate the AC resistance factor of a single-layer formwound winding. The model includes the end-winding length and the number of strands and turns. The end winding includes the circulating current (eddy currents that are traveling through the whole winding between parallel strands) and the main current. The end-winding length also affects the total AC resistance factor.

Tooth-Coil Permanent Magnet Synchronous Machine Design for Special Applications

This doctoral thesis presents a study on the design of tooth-coil permanent magnet synchronous machines. The electromagnetic properties of concentrated non-overlapping winding permanent magnet synchronous machines, or simply tooth-coil permanent magnet synchronous machines (TC-PMSMs), are studied in details. It is shown that current linkage harmonics play the deterministic role in the behavior of this type of machines. Important contributions are presented as regards of calculation of parameters of TC-PMSMs,particularly the estimation of inductances. The current linkage harmonics essentially define the air-gap harmonic leakage inductance, rotor losses and localized temporal inductance variation. It is proven by FEM analysis that inductance variation caused by the local temporal harmonic saturation results in considerable torque ripple, and can influence on sensorless control capabilities. Example case studies an integrated application of TC-IPMSMs in hybrid off-highway working vehicles. A methodology for increasing the efficiency of working vehicles is introduced. It comprises several approaches – hybridization, working operations optimization, component optimization and integration. As a result of component optimization and integration, a novel integrated electro-hydraulic energy converter (IEHEC) for off-highway working vehicles is designed. The IEHEC can considerably increase the operational efficiency of a hybrid working vehicle. The energy converter consists of an axial-piston hydraulic machine and an integrated TCIPMSM being built on the same shaft. The compact assembly of the electrical and hydraulic machines enhances the ability to find applications for such a device in the mobile environment of working vehicles.Usage of hydraulic fluid, typically used in working actuators, enables direct-immersion oil cooling of designed electrical machine, and further increases the torque- and power- densities of the whole device.

Modeling and Parameter Estimation of Double-Star Permanent Magnet Synchronous Machines

The power rating of wind turbines is constantly increasing; however, keeping the voltage rating at the low-voltage level results in high kilo-ampere currents. An alternative for increasing the power levels without raising the voltage level is provided by multiphase machines. Multiphase machines are used for instance in ship propulsion systems, aerospace applications, electric vehicles, and in other high-power applications including wind energy conversion systems. A machine model in an appropriate reference frame is required in order to design an efficient control for the electric drive. Modeling of multiphase machines poses a challenge because of the mutual couplings between the phases. Mutual couplings degrade the drive performance unless they are properly considered. In certain multiphase machines there is also a problem of high current harmonics, which are easily generated because of the small current path impedance of the harmonic components. However, multiphase machines provide special characteristics compared with the three-phase counterparts: Multiphase machines have a better fault tolerance, and are thus more robust. In addition, the controlled power can be divided among more inverter legs by increasing the number of phases. Moreover, the torque pulsation can be decreased and the harmonic frequency of the torque ripple increased by an appropriate multiphase configuration. By increasing the number of phases it is also possible to obtain more torque per RMS ampere for the same volume, and thus, increase the power density. In this doctoral thesis, a decoupled d–q model of double-star permanent-magnet (PM) synchronous machines is derived based on the inductance matrix diagonalization. The double-star machine is a special type of multiphase machines. Its armature consists of two three-phase winding sets, which are commonly displaced by 30 electrical degrees. In this study, the displacement angle between the sets is considered a parameter. The diagonalization of the inductance matrix results in a simplified model structure, in which the mutual couplings between the reference frames are eliminated. Moreover, the current harmonics are mapped into a reference frame, in which they can be easily controlled. The work also presents methods to determine the machine inductances by a finite-element analysis and by voltage-source inverters on-site. The derived model is validated by experimental results obtained with an example double-star interior PM (IPM) synchronous machine having the sets displaced by 30 electrical degrees. The derived transformation, and consequently, the decoupled d–q machine model, are shown to model the behavior of an actual machine with an acceptable accuracy. Thus, the proposed model is suitable to be used for the model-based control design of electric drives consisting of double-star IPM synchronous machines.

Limittelymenetelmän hyödyntäminen verkkovaihtosuuntaajassa: LCL-suotimen mitoitus

Teollisuudessa yleinen trendi on saada entistä tehokkaampia, halvempia, hyötysuhteeltaan parempia ja fyysisiltä mitoiltaan pienempiä sähkökäyttöjä. Luonnollisesti nämä vaatimukset ovat samoja myös taajuusmuuttajilla. Näiden vaatimusten välillä täytyy aina tehdä kompromisseja ja kehittää uusia menetelmiä. Monissa teollisuuden sähkökäytöissä tarvitaan verkkovaihtosuuntaajaa syöttämään tehoa generaattorilta tai jarrutettavalta moottorilta sähköverkkoon. Verkkovaihtosuuntaajassa käytännössä tarvitaan aina LCL-suodin, joka on fyysisesti järjestelmän suurin ja kallein yksittäinen komponentti, ja luonnollisesti suuritehoinen laite vaatii suuren LCL-suotimen. LCL-Suotimen fyysinen koko on kääntäen verrannollinen kytkentätaajuuteen. Tässä diplomityössä esitellään interleaving eli limittelymenetelmä, jonka avulla pystytään kasvattamaan verkkovaihtosuuntaajan ekvivalenttista kytkentätaajuutta ja pienentämään virran värettä sekä kokonaisharmonista säröä. Menetelmästä aiheutuu myös merkittävä haaste, kiertovirrat, joiden suodatusta tutkitaan kahdella eri menetelmällä. Käytetyt suodatustavat ovat LCL-suodin, jossa on lisäksi CM-kuristin ja LCL-suodin, jossa käytetään solujen välistä muuntajaa, ICT:tä. Työ suoritettiin teoriatutkimuksena ja simuloimalla. Tulokset osoittavat, että molemmat suodatustavat voivat toimia todellisessa sovelluksessa. Kuitenkin vain ICT:n omaava suodin on selkeästi vastaavan kokoista kaksitasoista verkkovaihtosuuntaajan suodinta pienempi. Tutkimus osoittaa myös sen, että tutkitussa sovelluskohteessa pelkkä fyysinen suodin ei riitä suodattamaan kiertovirtoja, vaan säätimeen täytyy tehdä myös muutoksia.