Evaluating the permanent of a matrix is a fundamental computation that emerges in many domains, including traditional fields like computational complexity theory, graph theory, and many-body quantum theory and emerging disciplines like machine learning and quantum computing. While conceptually simple, evaluating the permanent is extremely challenging: no polynomial-time algorithm is available. This thesis presents a software package that we designed to evaluate the permanent of an arbitrary rectangular matrix, supporting three algorithms (the straightforward combinatoric algorithm, the Ryser algorithm, and the Glynn algorithm) and, optionally, automatically switching to the optimal algorithm based on the type and dimensionality of the matrix of interest. To do this, we developed an extension of the Glynn algorithm to rectangular matrices. Except for very small matrices (where the naive combinatoric algorithm is best) and very rectangular matrices (where the Ryser algorithm is the best), the Glynn algorithm is fastest. In addition to our computational tests, we applied the method by incorporating it into PyCI, allowing the antisymmetric product of interacting geminals wavefunction to be evaluated with unprecedented speed. We believe that the methods we developed, together with their efficient implementation, will be broadly useful to mathematicians, physicists, and chemists and, accordingly, our software package is distributed as free and open-source software on Github, at https://github.com/theochem/matrix-permanent. / Thesis / Master of Science (MSc)

Les travaux menés au cours de cette thèse abordent les aspects de la conception optimale des machines électriques appliquées à la traction automobile.Cette thèse traite tout d’abord des contraintes imposées par le cahier des charges de l’application automobile électrique/hybride. Une méthode de classification ayant pour but de réduire le nombre d’évaluations des points de fonctionnement y est décrite. Ensuite, un prédimensionnement optimal de la machine est présenté. Le design de la machine est alors construit pour respecter la solution obtenue par le prédimensionnement.Dans la suite, une modélisation électromagnétique analytique précise et rapide de la machine est mise au point pour évaluer ses performances. Enfin, le modèle analytique précédemment conçu est couplé à une routine d’optimisation. Deux solutions optimales de machines synchrones à aimants permanents (MSAP) dédiées à l’application automobile seront finalement mises en exergue. / The work presented in this thesis aims at the modelling and optimisation of electrical machine for an automotive application.The first part shows the constraints required to electric/hybrid automotive specifications. A clustering method which allows to reduce evaluations number of the operating points is described. Next, an optimal pre-sizing of the machine is presented and designed in order to respect this optimal pre-sizing.In what follows an accurate and fast analytical electromagnetic modelling of the machine is performed. Well, the analytical modelling developed is related to a genetic algorithm. Two solutions of permanent magnet synchronous machines (PMSM) designed to automotive application are finally showed and analysed.

Il existe actuellement un important besoin en dispositifs électroniques dans le domaine des longueurs d’ondes millimétriques, tels que les circulateurs et les isolateurs fonctionnant dans la gamme de fréquence 30-100 GHz. Les aimants permanents qui garantissent la propagation de l’onde électromagnétique dans ces dispositifs comportent très généralement des éléments terres rares. En raison du coût à l’acquisition de ces éléments, d’une part, ainsi que de leur coût environnemental d’autre part, il existe une demande d’aimants permanents produits sans terres rares. Les ferrites durs peuvent présenter les propriétés demandées pour une intégration dans les dipositifs micoondes non réciproques. Ainsi, les particules de ferrite de baryum (BaM) possèdent un champ d’anisotropie magnétocristallin important, dirigé selon l’axe de facile aimantation. Un matériau autopolarisé, constitué d’un empilement de ces particules, peut donc présenter une aimantation permanente d’intensité suffisante pour les applications visées. De nombreuses méthodes d’élaboration de tels matériaux ont été mises au point. Cependant les mises en oeuvre de ces méthodes sont contraignantes. En revanche, nous avons mis au point dans le présent travail un processus de réalisation de ferrites de BaM massifs autopolarisés, dont l’aspect technologique est simple (basé sur des méthodes de chimie douce et des traitements thermiques adaptés), et très abordable financièrement. Les résultats obtenus sont très compétitifs (aimantation rémanente normalisée MR/MS comprise entre 0.87 et 0.90. Le champ coercitif HC atteint la valeur de 303 kA/m, rendant le matériau peu sensible aux effets démagnétisants), et permettent d’envisager la production de ces matériaux en vue d’applications à des fréquences allant jusqu’à 55 GHz. / Presently, there is a critical need for millimeter wave devices, among which are non-reciprocal devices such as isolators and circulators, which operate in the frequency range from about 30 GHz to 100 GHz.Permanent magnets that ensure the propagation of the wave in such devices are for long based on rare-earth elements. Nowadays, the escalation of rare earths cost encourages to look for alternative materials containing much less, or no, rare earth elements selected from the most common and most available. Alternatively, hard ferrites may show the required potential for integration into non-reciprocal microwave devices. Barium ferrite (BaM) is a wellknown, high-performance, permanent magnet material with a large magneto-crystalline anisotropy along the c-axis of its hexagonal structure. A suitable form of barium ferrite for mm-wave applications is a magnetically oriented bulk material.Several constraining processing techniques were therefore set up to perform the alignment and compaction of plate hexaferrite particles. In contrast to these methods, the present study demonstrates the feasibility of simple alternative ways to provide highly oriented bulk compacts made of BaM particles. In the present work efficient and inexpensive chemical processes (co-precipitation, dry mixing and wet mixing) are presented that produces highly oriented bulk compacts made of Barium hexaferrites (BaM) particles. Hysteresis loops that display very competitive squarenesses between 0.87 and 0.90 (normalized remanent magnetization) and coercivity as high as 303 kA/m are obtained. The sensitivity to demagnetizing effects is therfore reduced. These properties make these BaM bulk ferrite materials suitable for selfbiased applications at frequencies up to 55 GHz.

Four hundred and eight casual relief teachers (CRTs) and 670 permanent teachers from government, independent, and Catholic primary schools and secondary schools in and around metropolitan Melbourne were surveyed using the researcher-developed Issues in Teaching Questionnaire (ITQ) in order to assess their attitudes, perceptions, and experiences in relation to 10 areas of concern including: job security, provisions and facilities, information and communication, lesson management, status, relationships with the school community, relationships with students, student management, job satisfaction, and job stress. These 10 areas of concern were derived from the literature regarding casual relief teaching, which comprised of various anecdotal, published, and unpublished sources. Classical test theory methods (e.g., Cronbach¡¦s ƒÑ and exploratory factor analysis) were used to determine the psychometric properties of the survey instrument, which indicated that the ITQ pos sessed excellent internal reliability and construct validity, and confirmed the existence of an ¡§in-class¡¨ factor and an ¡§out-of-class¡¨ factor. Using descriptive and multivariate inferential statistics, the responses of the CRTs and the permanent teachers were analysed. By comparison with the other group characteristics, employment status (i.e., CRT or permanent teacher) was the best predictor of scores on the ITQ. The CRTs reported significantly more positive attitudes, perceptions, and experiences regarding job stress (i.e., less job stress) compared with the permanent teachers, whereas the permanent teachers reported significantly more positive attitudes, perceptions, and experiences across all other areas of concern compared with the CRTs. When the responses of the CRTs and the permanent teachers were compared on a scale of magnitude (i.e., effect size), much larger effects were observed for the ¡§out-of-class¡¨ concerns (e.g., Information and Communication, Provisions and Facilities, Lesson Manageme nt, Relationships with the School Community, Status, Job Security, and Job Satisfaction subscales) compared with the ¡§in-class¡¨ concerns (e.g., Relationships with Students, Student Management, and Job Stress subscales). Although many parallels were found between the CRTs and the permanent teachers in terms of their general classroom concerns, substantial differences existed between the two groups in relation to their concerns in the wider school context. Of particular importance were the considerable differences between the CRTs and the permanent teachers in terms of their employment conditions, and how they are currently being accommodated in schools and integrated into school communities. In these regards, CRTs are not receiving professional parity with their permanent counterparts. Overall, the results of this study (a) provide evidence of a psychometrically sound instrument for assessing the attitudes, perceptions, and experiences of CRTs and permanent teachers across a range of school settings, (b) hi ghlight the importance of employment status (i.e., CRT or permanent teacher) as a predictor of the ITQ subscales compared with the other group characteristics, and (c) present comprehensive and convincing evidence on the similarities and differences between the teaching experiences of CRTs and permanent teachers.

No description available.

Thesis (MScEng (Electrical and Electronic Engineering))--University of Stellenbosch, 2011. / ENGLISH ABSTRACT: In this study a new type of gearless, direct-drive wind generator, which can be connected directly to the grid, is proposed. The working characteristics of this generator are based upon the principles of the permanent magnet induction generator (PMIG). By omitting the need for a gearbox and power electronic converter this generator type has several advantages regarding cost and reliability. Although the PMIG is proposed in previous studies as favourable for wind power generation, the mechanical complexity and difficult construction associated with these types of generators, seems to be the main reason why these generator systems are not used. The design methods presented in this study are intended to alleviate these constructional issues by proposing the split-PMIG (S-PMIG), where the stator winding and the induction cage-rotor windings are electromagnetically separated. The machine is basically split into two permanent magnet (PM) machines, a grid connected synchronous generator (SG) unit and a turbine connected induction generator (IG) unit. These two units are mechanically linked by a common PM-rotor. To evaluate this concept a finite element (FE) design analysis is done independently for both machine components. The emphasis of the design optimisation is the minimisation of the cogging torque, while still having a decent performing, easily constructible generator. This generator should also have low load ripple content. Cogging torque can result in the failure of the turbine to start up, especially at low wind speeds. As this is a directly grid connected generator, torque ripple transferred to the common PM-rotor can destabilise the generator. Based upon the FE designs a preliminary S-PMIG system is constructed and practically evaluated. Due to the modular nature of the design it is possible to implement the synchronous generator part of the S-PMIG in conjunction with a grid-connected solid state converter (SSC). This allows for a useful comparison with the S-PMIG system. Promising results are obtained from initial tests of the S-PMIG directly connected to the grid. It is shown that the operation of this generator is stable under a wide range of wind load conditions. However, some important machine design issues are identified from these practical results, which could prove vital in the implementation of future S-PMIG designs. / AFRIKAANSE OPSOMMING: In hierdie studie word 'n nuwe ratkaslose direk-aangedrewe wind generator voorgestel, wat direk aan die krag netwerk gekoppel kan word. Hierdie generator is gebaseer op die beginsels waarop permanente magneet induksie generators (PMIG’s) werk. Deur die ratkas en drywings-elektroniese omsetter uit te laat, het hierdie generator verskeie voordele rakende koste en betroubaarheid. Alhoewel vorige studies hierdie generator voorstel as 'n belowende opsie vir gebruik in wind-energie-stelsels, lyk dit of die meganiese kompleksiteit en moeilike konstruksie die hoof rede is hoekom hierdie generator stelsels tans nie gebruik word nie. Die ontwerpsmetodes wat in hierdie studie voorgestel word poog om die genoemde konstruksie probleme op te los deur die gesplete-PMIG (S-PMIG), waar die stator wikkelings en die induksie masjien kou-rotor wikkelings elektromagneties ontkoppel is, voor te stel. Hierdie masjien is basies verdeel in twee permanente magneet (PM) masjiene, 'n netwerk gekoppelde sinchroongenerator (SG) eenheid en 'n turbine gekoppelde induksie generator (IG) eenheid. Hierdie twee eenhede word gekoppel deur 'n gemeenskaplike PM-rotor. Om hierdie konsep te evalueer word eindige element analise onafhanklik vir beide masjiene gedoen. Die fokus van die ontwerp optimering is die minimalisering van die vertandingsdraaimoment, terwyl die generator steeds goed presteer en maklik is om te vervaardig. Vertandingsdraaimoment kan tot die gevolg hê dat die turbine versuim om te begin draai, veral by lae windsnelhede. Dit is ook belangrik dat die generator 'n lae rimpel inhoud onder las bevat. Omrede hierdie generator direk aan die netwerk gekoppel is, kan draaimoment pulsasies, oorgedra aan die gemeenskaplike PM-rotor, die masjien destabiliseer. Gebaseer op die eindige element ontwerpe, is 'n voorlopige gesplete-PMIG gebou en prakties geëvalueer. As gevolg van die modulêre struktuur van die ontwerp, is dit moontlik om die SG gedeelte van die gesplete- PMIG saam met 'n drywings-elektroniese omsetter te implementeer. Dit laat toe vir 'n nuttige vergelyk tussen die twee stelsels. Belowende eerste toets resultate is verkry van die gesplete-PMIG direk gekoppel aan die netwerk. Daar word gewys dat hierdie generator stabiel oor 'n wye operasionele gebied kan funksioneer. Verskeie belangrike masjien ontwerpsfaktore word ook uitgelig met die praktiese evaluering van die gesplete-PMIG. Hierdie faktore kan uiters belangrik wees in die ontwerp en implementering van toekomstige gesplete-PMIG stelsels. / Sponsored by the Centre for Renewable and Sustainable Energy Studies

Thesis (MScEng)--Stellenbosch University, 2013. / ENGLISH ABSTRACT: The slip synchronous permanent magnet generator (SSG) is a direct-driven direct-grid connected generator developed to alleviate the need for expensive gearboxes and solid-state power converters on wind turbine generators. This study identifies certain key areas where the current wind turbine generator (WTG) system does not comply with the grid code for wind energy facilities (WEF) as specified by the National Energy Regulator of South Africa. The current WTG system does not have a reactive power compensation device. The main focus in this study is the development of an on-load tap changer (OLTC) transformer to control the terminal voltage of the generator. By controlling the terminal voltage of the generator the excitation-mode of the SSG can be changed allowing for control over the reactive power output of the SSG. An OLTC transformer utilising a solid-state assisted mechanical diverter circuit is built and tested to determine the viability of using an OLTC as a reactive power control device. Practical test results show that the OLTC can successfully control the terminal voltage of the SSG without interrupting the load current. The required accuracy regarding power factor control capability was not met due to the large change in reactive power output per tap change operation. A method of using small shunt capacitor banks to provide additional reactive power in between consecutive tap changes is evaluated in simulation. Simulation results show that the addition of these small shunt capacitor banks dramatically improves the reactive power control accuracy. Additionally the grid code specifies that a WEF must have the ability to curtail the active power output during frequency disturbances. The effects of frequency disturbances on the SSG output is simulated and it was found that the SSG will comply with the minimum connection requirements as specified in the grid code. A method of using an IGBT switched DC load to limit the active power output of the WEF is developed and simulated. From the simulation results it was found that the proposed active power curtailment device will meet the minimum power curtailment response time requirements as specified in the grid code. / AFRIKAANSE OPSOMMING: Die glip sinchroon permanente magneet generator (SSG) is ʼn direkte dryf, direkte netwerk gekoppelde wind generator wat ontwikkel is om behoefte aan duur ratkaste en drywing elektroniese omsetters te verlig. Hierdie studie identifiseer sekere sleutel areas waar die huidige wind generator opstelling nie aan die netwerk kode spesifikasie soos uiteengesit deur die Nasionale Energie Reguleerder van Suid-Afrika voldoen nie. Die wind turbine generator stelsel beskik nie oor ʼn reaktiewe drywing beheer meganisme nie. Die belangrikste fokus in hierdie studie is die ontwikkeling van ʼn transformator tap wisselaar wat gebruik sal word om die generator se terminale spanning te beheer. Deur die terminaal spanning te beheer kan die opwekking modus van die generator verander word om dan die uittree reaktiewe drywing te beheer. ʼn Tap wisselaar wat gebruik maak van ʼn drywingelektronies gesteunde meganiese skakelaar is ontwikkel en getoets om die lewensvatbaarheid van die tegniek te ondersoek. Praktiese toets resultate toon dat die tap wisselaar suksesvol beheer oor die generator se terminaal spanning kon uitvoer, sonder om die las-stroom te onderbreuk. Ongelukkig is die vereiste akkuraatheid ten opsigte van die reaktiewe drywing beheer nie gehaal nie. Die rede hiervoor is dat die verandering in uittree reaktiewe drywing baie groot is vir opeenvolgende tap verstellings. ʼn Metode waar twee klein kapasitor banke geskakel word om reaktiewe drywing te lewer, tussen opeenvolgende tap veranderinge, is deur middel van simulasie ondersoek. Die simulasie resultate toon aan dat die toevoeging van die kapasitors ʼn drastiese verbetering in die beheerbaarheid van die uittree reaktiewe drywing het. Verder spesifiseer die netwerk kode ook dat ʼn wind plaas oor die vermoë moet beskik om die aktiewe drywing te verminder tydens ʼn netwerk frekwensie versteuring. Die effek wat ʼn frekwensie versteuring op die SSG het, is deur middel van simulasie ondersoek en daar is gevind dat die SSG aan die netwerk verbinding spesifikasie sal voldoen. ʼn Metode waarby ʼn IGBT geskakelde GS las gebruik word om die aktiewe drywing van die wind generator te beperk is ondersoek en gesimuleer. Vanaf die simulasie resultate is daar gevind dat die drywing beperkings toestel aan die minimum drywing en reaksie tyd spesifikasies soos vereis sal voldoen.

Les processus d'aimantation dans des aimants de type NdFeB ont été étudiés dans le cadre de cette thèse, sur la base de mesures d'aimantation macroscopiques et de caractérisations locales (MFM). Deux types d'échantillons ont été analysés : des aimants massifs dont les propriétés excellentes résultent d'un processus d'infiltration de NdCu le long des joints de grain (échantillons fournis par Toyota Motor Corporation) et des échantillons sous forme de couches épaisses, dont les microstructures, et, de ce fait les propriétés magnétiques, diffèrent. La variation thermique du champ coercitif et celle du volume d'activation ont été analysées dans le cadre de deux modèles, respectivement dénommé micromagnétique et global. Les valeurs déduites des deux paramètres principaux caractérisant la coercitivité (N représentant les effets du champ démagnétisant et α reliant le champ coercitif aux propriétés magnétiques intrinsèques de la phase dure) indiquent que dans les aimants massifs les différences de coercitivité entre échantillons sont dues pour l'essentiel à la variation de N alors que dans les films, c'est la variation du paramètre α qui joue le rôle principal. Le volume d'activation à une température donnée, dérivé de mesures de trainage magnétique, a des valeurs proches pour tous les échantillons massifs. Au contraire, il varie d'un échantillon à l'autre dans le cas des films : plus le champ coercitif est fort, plus petit est le volume d'activation. Une conclusion générale de cette étude est que les propriétés magnétiques au sein du volume d'activation sont proches de celles de la phase dure Nd2Fe14B. Le lien entre microstructure et coercivité a été examiné dans les films épais par microscopie de force magnétique (MFM). Des observations de films dans différents états rémanents le long du cycle d'hystérésis ont été réalisées. Des « domaines d'interactions » ont été révélés dans les films de faible coercitivté. Dans de tels films, comme dans ceux de coercitivité moyenne, le renversement d'aimantation est dominé par la propagation de domaines, alors que dans les films de plus forte coercitivité, la nucléation suivie de la propagation de domaines d'orientation inverse à celle de l'aimantation principale dominent. / Magnetization reversal in NdFeB-type permanent magnets was studied in this thesis, based on both global (magnetometry) and local (magnetic force microscopy) experimental techniques. Two types of samples were analyzed: bulk magnets of which magnetic properties are greatly improved as a result of NdCu infiltration along the grain boundaries (samples provided by Toyota Motor Corporation) and thick film magnets with different microstructures and thus different coercive fields. The temperature dependence of the coercive field and that of the activation volume were analyzed in the framework of two models: the micromagnetic and the global model. The derived values of the two main parameters characterizing coercivity (N representing demagnetizing field effects and α linking the coercive field to the intrinsic magnetic properties of the hard phase) indicate that, in bulk magnets, the difference in coercivity between different samples is related mainly to N whereas in films the parameter alfa plays the leading role. The activation volume derived from magnetic after effect measurements is similar for all bulk samples at a given temperature. On the opposite, it varies in the case of films : the higher the coercive field, the smaller the activation volume. Altogether, it is concluded that the magnetic properties within the activation volume are close to those of the main phase. The link between microstructure and coercivity was studied in thick films, using magnetic force microscopy. Imaging of films that present different microstructures was performed in different remanent states along the hysteresis cycle. Interaction domains were observed in the case of films with lower coercive field. In such low coercivity films, as well as in medium coercivity ones, magnetization reversal is dominated by domain wall propagation, instead of nucleation + propagation in high coercivity films.

This thesis studies the brushless permanent magnet synchronous (BLPM) machine design for electric vehicle (EV) and hybrid electric vehicle (HEV) application. Different rotor topologies design, winding design, and multiphase designs are investigated and discussed. The Nissan Leaf interior permanent magnet (IPM) traction machine has been widely analyzed and there is much public domain data available for the machine. Hence, this machine is chosen as a representative benchmark design. First, the Nissan Leaf machine is analyzed via finite element analysis (FEA) and the results confirmed via published experimental test data. The procedure is then applied to all the following machine designs and results compared. Then the Nissan Leaf machine rotor is redesigned to satisfy the performance specification with sinusoidal phase current in the full range for the same performance specification and permanent magnet material. Afterword, a comparative study assessing the design and performance attributes of the Nissan Leaf IPM machine, when compared to a surface permanent magnet (SPM) machine designed within the main Nissan Leaf machine dimensional constraints. The study illustrates and concludes that both the IPM and SPM topologies have very similar capabilities with only subtle differences between the design options. The results highlight interesting manufacturing options and materials usage. The grain boundary diffusion processed (GBDP) magnets are proposed to reduce the rare earth material content in the permanent magnet machines, especially subject to high load and high temperature operating scenarios by preventing or reducing the onset of demagnetization. The design and analysis procedure of BLPM machine with GBDP magnets are put forward. In the end, the Nissan Leaf IPM machine is taken as an example to verify the analysis procedure. and the results illustrates that IPM machines with GBDP magnets can realize torque and maintain efficiency at high loads while being less prone to demagnetization. A new multi-phase synchronous reluctance machine (SRM) with good torque performance and conventional voltage source inverter is introduced for traction machine applications. Although the torque density is low compared with BLPM machine, the SRM machine gets rid of permanent magnets and achieve low torque ripple compared with switched reluctance machine when the asymmetric inverter is replaced with conventional voltage source inverter. The concentrated windings are designed and studied with both IPM and SPM rotor according to the Nissan Leaf machine requirements of performance and dimension to investigate how the concentrated windings affect the machine performance and manufacturability and cost. 9-, 12-, 15- slot concentrated windings’ stator share the same slot area with the Nissan Leaf machine distributed winding and the performance are evaluated and compared. Multi-phase concentrated windings machines with IPM and SPM rotor are designed and analyzed based on the Nissan Leaf machine specification and dimension constraints. The performance of 23-phase, 5-phase, 9-phase machine at low speed and top speed are studied and the advantages and disadvantages are compared in terms of torque quality, efficiency, and power electronic requirements. / Thesis / Doctor of Philosophy (PhD)

No description available.