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<b>THERMO-ELECTROCHEMICAL INTERACTIONS AND SAFETY ANALYTICS IN LITHIUM-ION BATTERIES</b>Hanwei Zhou (19131412) 14 July 2024 (has links)
<p dir="ltr">Lithium-ion (Li-ion) batteries are promising electrochemical energy storage and conversion systems to drive the rechargeable world toward a sustainable future. Following the breakthrough of material innovations, advanced Li-ion batteries have significantly mitigated the range and lifetime anxieties of electric vehicles (EVs) and consumer electronics. Nevertheless, state-of-the-art Li-ion chemistries still suffer from several defects, such as rapid degradations under abusive or fast-charge scenarios and unfavorable high thermal instabilities. Essentially, aging mechanisms and safety hazards of Li-ion cells are strongly coupled events. The cell safety factors are most likely to be deteriorated as degradation progresses, making the cell less safe after a long-term deployment. In this thesis, we comprehensively investigate thermo-electrochemical interactions on the safety of Li-ion batteries. Fundamental principles of Li-ion batteries, basic knowledge about material-level thermal instabilities at electrode-electrolyte interphases, thermal characterization approaches, and thermal runaway mechanisms under abusive scenarios are fully overviewed. Thermally unstable characteristics of key cell components, including inter-electrode crosstalk as a result of oxygen liberation from cathode lattice structures, significant electric energy release from massive internal short circuit due to separator collapse, anode-centric lithium-plating-induced early exotherm, and silicon-dopant-driven thermal risks of composite anodes, are specifically discussed to understand their critical role in accelerating cell-level thermal runaway catastrophes. Aging pathways of Li-ion cells under off-normal conditions, particularly overdischarge and fast charging, are thoroughly elucidated using a promising reference electrode architecture, which effectively deconvolutes the electrode behaviors from the complex full-cell performance for precise identification of the root causes in cell failure. Given the profound revelation of degradation-safety sophistication in various Li-ion chemistries, corresponding mitigation and prevention strategies are proposed to maximize cell lifetime and reliability. This thesis provides new insights into aging and safety diagnostics of cutting-edge Li-ion batteries, taking one step further in the online monitoring of battery state of health to develop adaptive battery management systems.</p>
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Design Principle on Carbon Nanomaterials Electrocatalysts for Energy Storage and ConversionZhao, Zhenghang 05 1900 (has links)
We are facing an energy crisis because of the limitation of the fossil fuel and the pollution caused by burning it. Clean energy technologies, such as fuel cells and metal-air batteries, are studied extensively because of this high efficiency and less pollution. Oxygen reduction reaction (ORR) and oxygen evolution reaction (OER) are essential in the process of energy storage and conversion, and noble metals (e.g. Pt) are needed to catalyze the critical chemical reactions in these devices. Functionalized carbon nanomaterials such as heteroatom-doped and molecule-adsorbed graphene can be used as metal-free catalysts to replace the expensive and scarce platinum-based catalysts for the energy storage and conversion. Traditionally, experimental studies on the catalytic performance of carbon nanomaterials have been conducted extensively, however, there is a lack of computational studies to guide the experiments for rapid search for the best catalysts. In addition, theoretical mechanism and the rational design principle towards ORR and OER also need to be fully understood.
In this dissertation, density functional theory calculations are performed to calculate the thermodynamic and electrochemical properties of heteroatom-doped graphene and molecule-adsorbed graphene for ORR and OER. Gibb's free energy, overpotential, charge transfer and edge effect are evaluated. The charge transfer analysis show the positive charges on the graphene surface caused by the heteroatom, hetero-edges and the adsorbed organic molecules play an essential role in improving the electrochemical properties of the carbon nanomaterials. Based on the calculations, design principles are introduced to rationally design and predict the electrochemical properties of doped graphene and molecule-adsorbed graphene as metal-free catalysts for ORR and OER. An intrinsic descriptor is discovered for the first time, which can be used as a materials parameter for rational design of the metal-free catalysts with carbon nanomaterials for energy storage and conversion. The success of the design principle provides a better understanding of the mechanism behind ORR and OER and a screening approach for the best catalyst for energy storage and conversion.
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Design Principles for Metal-Coordinated Frameworks as Electrocatalysts for Energy Storage and ConversionLin, Chun-Yu 12 1900 (has links)
In this dissertation, density functional theory calculations are performed to calculate the thermodynamic and electrochemical properties of metal coordinated frameworks for oxygen reduction reaction (ORR) and oxygen evolution reaction (OER). Gibb's free energy, overpotential, charge transfer and ligands effect are evaluated. The charge transfer analysis shows the positive charges on the metal coordinated frameworks play an essential role in improving the electrochemical properties of the metal coordinated frameworks. Based on the calculations, design principles are introduced to rationally design and predict the electrochemical properties of metal coordinated frameworks as efficient catalysts for ORR and OER. An intrinsic descriptor is discovered for the first time, which can be used as a materials parameter for rational design of the metal coordinated frameworks for energy storage and conversion. The success of the design principles provides a better understanding of the mechanism behind ORR and OER and a screening approach for the best catalyst for energy storage and conversion.
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Ocean energy assessment : an integrated methodologyBanerjee, S. January 2011 (has links)
The huge natural energy resources available in the world’s oceans are attracting increasing commercial and political interest. In order to evaluate the status and the degree of acceptability of future Ocean Energy (OE) schemes, it was considered important to develop an Integrated Assessment Methodology (IAM) for ascertaining the relative merits of the competing OE devices being proposed. Initial studies included the gathering of information on the present status of development of the ocean energy systems on wave, OTEC and tidal schemes with the challenges faced for their commercial application. In order to develop the IAM, studies were undertaken for the development and standardization of the assessment tools focussing on: • Life Cycle Assessment (LCA) on emission characteristics. • Energy Accounting (EA) studies. • Environmental Impact Assessment (EIA) over different environmental issues. • Resource captures aspects. • Defining economy evaluation indices. The IAM developed from such studies comprised of four interrelated well defined tasks and six assessment tools. The tasks included the identification of the modus operandi on data collection to be followed (from industry) for assessing respective OE devices, and also advancing relevant guidelines as to the safety standards to be followed, for their deployment at suitable sites. The IAM as developed and validated from case studies in ascertaining relative merits of competing OE devices included: suitable site selection aspects with scope for resource utilisation capability, safety factors for survivability, scope for addressing global warming & energy accounting, the environmental impact assessment both qualitatively and quantitatively on different environmental issues, and the economic benefits achievable. Some of the new ideas and concepts which were also discovered during the development of the IAM, and considered useful to both industry and researchers are given below: • Relative Product Cost (RPC) ratio concept- introduced in making an economic evaluation. This is considered helpful in sensitivity analysis and making design improvements (hybridising etc) for the cost reduction of OE devices. This index thus helps in making feasibility studies on R&D efforts, where the capital cost requirement data and life span of the device is not well defined in the primary stages of development. • Determination of the threshold limit value of the barrage constant - considered useful in determining the efficacy of the planning process. The concept ascertained the relative efficiency achieved for various barrage proposals globally. It could also be applied to suggest the revisions required for certain barrage proposals and also found useful in predicting the basin area of undefined barrage proposal for achieving economic viability. • Estimations made on the future possibility of revenue earnings from the by-products of various OTEC types, including the scope of chemical hubs from grazing type OTEC plants. • Determination of breakeven point- on cost versus life span of wave and OTEC devices studied, which is useful in designing optimum life of the concerned devices. The above stated multi-criterion assessment methodology, IAM, was extended leading to the development of a single criterion model for ascertaining sustainability percent achievable from an OE device and termed IAMs. The IAMs was developed identifying 7 Sustainability Development Indices (SDI) using some the tools of the IAM. A sustainability scale of 0-100 was also developed, attributing a Sustainability Development Load Score (SDLS) percentage distribution pattern over each SDIs, depending on their relative importance in achieving sustainability. The total sum of sustainability development (SD) gained from each SDI gave the IAMs (for the concerned device), indicating the total sustainable percentage achieved. The above IAMs developed, could be applied in ranking OE devices alongside the unsustainable coal power station. A mathematical model of estimating the IAMs was formulated, in order to ascertain the viability to the sustainable development of any energy device. The instruments of IAM and IAMs which have been developed would be helpful to the OE industry in ascertaining the degree of acceptability of their product. In addition it would also provide guidelines for their safe deployment by assessing the relative merits of competing devices. Furthermore, IAM and IAMs would be helpful to researchers undertaking feasibility studies on R&D efforts for material development research, ‘hybridization studies’ (as also new innovations), cost reduction, the performance improvement of respective devices, and any economic gains. With future advancements in OE systems and the availability of field data from large scale commercial applications, the specific values/data of the IAM & IAMs may be refined, but the logic of the models developed in this research would remain the same.
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Design, build and test a passive thermal system for a loft : a roof solar chimney application for South African weather conditionsBeviss-Challinor, Lauren Margaret January 2007 (has links)
Thesis (MEng (Mechanical and Mechatronic Engineering))--Stellenbosch University, 2007. / ENGLISH: The design, construction and testing of a passive thermal system, a roof solar
chimney, for a loft is considered. Unlike conventional solar chimneys the solar
collector is constructed from corrugated iron roof sheets with the aim that it can be
integrated into existing buildings at a lower cost or used in low cost housing
developments. The main objective of the study was to determine the feasibility of
such low-cost design to regulate thermal conditions in a loft, that is heating the loft during winter and enhancing natural ventilation during summer, by carrying out an
experimental and analytical study. The results obtained from the experimental study showed that for winter the solar chimney, having a channel width, depth and length of 0.7 m, 0.1 m and 1.8 m respectively and with a peal solar radiation of 850 W/m², heated the room air 5°C higher than the ambient temperature during the hottest periods of the day, which is only marginally better than a loft with conventional roof insulation. At night, it was found that reverse airflow occurred through the chimney, cooling the loft down to
ambient temperature, due to radiation heat loss from the roof collector to the night
sky. For summer operation, the experimental data showed that the chimney was able
to maintain the loft at ambient temperature and the analytical study found that the
chimney was able to enhance natural ventilation effectively, reaching air exchange rate of 6.6 per hour for the 4.6 m³ volume space. It was also found that the chimney’s performance dropped rapidly and significantly during periods of low solar radiation and at night. A sensitivity analysis illustrated that for both summer and winter operation, the size, tilt angle and absorptivity of the roof collector greatly effected the efficiency and mass flow rates of the system, agreeing well with other literature. These results prove that this low cost solar chimney cooling design was feasible to enhance natural ventilation mainly during hot summer conditions with high solar radiation. Compared to a loft with only conventional roof insulation, the chimney did not perform effectively during the winter to heat the loft up, meaning that winter operation for this specific design is not feasible. Possible improvements to the design include using construction materials with higher thermal capacities to retain heat
energy and ensure continued operation during periods of low solar radiation, as well
as using selective absorber coatings on the collector surface. It is recommended that
further work on the project include the integration of these improvements into the
present design and to use the findings obtained from the sensitivity analysis to
improve system efficiencies. CFD analysis of the test-rig will be insightful as an
additional means to validate and compare with the analytical and experimental data
obtained in this report. With the continuation of these studies, this low-cost solar chimney design can be optimised, validated on a commercial scale and built into existing and new housing developments. Incorporating such a passive thermal device will aid homeowners in air regulation and thermal comfort of their living space as well as saving on energy requirements. / Sponsored by the Centre for Renewable and Sustainable Energy Studies, Stellenbosch University
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Turbine layout for and optimization of solar chimney power conversion unitsFluri, Thomas Peter 12 1900 (has links)
Thesis (PhD (Mechanical and Mechatronic Engineering))--Stellenbosch University, 2008. / ENGLISH ABSTRACT: The power conversion unit of a large solar chimney power plant converts the fluid power, first into mechanical power, and then into electrical power. In this
dissertation a tool is developed to determine the layout and the number of turbines
of the solar chimney power conversion unit providing the lowest cost of
electricity.
First, the history of the solar chimney concept and the related fields of research
are presented. Potential features and configurations of the power conversion
unit are introduced, and it is shown how the solar chimney power conversion
unit compares to those of other applications. An outline of the dissertation
is given, and its potential impact is discussed.
An analytical turbine model is developed. Several modelling approaches and
the performance of single rotor and counter rotating turbine layouts are compared.
Preliminary turbine designs are investigated, experimentally and numerically.
The main aim of the experimental investigation is to verify the applicability
of the loss model used in the analytical turbine model. The aim of the numerical
investigation is to evaluate a commercial software package as a tool in context
with solar chimney turbines.
For each component of the power conversion unit an analytical performance
model is introduced. Using these models, the single vertical axis, multiple vertical
axis and multiple horizontal axis turbine configurations are compared from
an efficiency and energy yield point of view, and the impact of the various losses
on the overall performance is highlighted. A detailed cost model for the power
conversion unit is also presented. To optimize for cost of electricity this cost
model is then linked to the performance models, and the resulting optimization
scheme is applied to several plant configurations.
It is shown that for a large solar chimney power plant the power conversion
unit providing minimal cost of electricity consists of multiple horizontal axis turbines
using a single rotor layout including inlet guide vanes. / AFRIKAANSE OPSOMMING: Die drywingsomsettingseenheid van ’n groot sonskoorsteenaanleg sit die vloeidrywing om, eers in meganiese drywing en dan in elektriese drywing. In hierdie
proefskrif word ’n gereedskapstuk ontwikkel om die uitleg en aantal turbines van
die sonskoorsteen-drywingsomsettingseenheid te bepaal wat die laagste koste
van elektrisiteit lewer. Eerstens word die geskiedenis van die sonskoorsteen en verwante navorsingsvelde
behandel. Moontlike eienskappe en konfigurasies vir die drywingsomsettingseenheid word
voorgestel, en daar word aangetoon hoe die sonskoorsteendrywingsomsettings-
eenheid vergelyk met ander toepassings. ’n Raamwerk van
die proefskrif word gegee, en die potensiële trefkrag daarvan word bespreek.
’n Analitiese turbine-model word ontwikkel. Verskeie nabootsingsbenaderings
en die vertoning van ’n enkelrotor en teenroterende turbine-uitlegte word
vergelyk. Voorlopige turbine-ontwerpe word ondersoek, eksperimenteel en numeries.
Die hoofdoel van die eksperimentele ondersoek is om die toepaslikheid
van die verliesmodel in die analitiese turbine-model te bevestig. Die doel van die
numeriese ondersoek is om kommersiële sagteware op te weeg as ’n gereedskapstuk
in die konteks van sonskoorsteenturbines.
Vir elke onderdeel van die drywingsomsettingseenheid word ’n analitiese model
voorgestel. Met gebruik van hierdie modelle word die enkele vertikale-as, die
veelvoudige vertikale-as an die veelvoudige horisontale-as turbinekonfigurasies
vergelyk vanuit ’n benuttingsgraad- en energie-opbrengsoogpunt,en die uitwerking
van die verskillende verliese op die algehele gedrag word uitgewys. ’n Kostemodel
in besonderhede word vir die drywingsomsettingseenheid aangebied. Om
vir die koste van elektrisiteit te optimeer word hierdie kostemodel dan gekoppel
aan die vertoningsmodelle, en die gevolglike optimeringskema word toegepas op
verskeie aanlegkonfigurasies.
Daar word aangetoon dat vir ’n groot sonskoorsteenaanleg die drywingsomsettingseenheid wat
die minimumkoste van elektrisiteit gee, bestaan uit veelvoudige
horisontale-as turbines met enkelrotoruitleg en inlaatleilemme. / Centre for Renewable and Sustainable Energy Studies
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Design and development of a novel wave energy converterJoubert, James Rattray 12 1900 (has links)
Thesis (PhD)--Stellenbosch University, 2013. / ENGLISH ABSTRACT: The design, development and evaluation of a novel wave energy converter (WEC)
device, called the ShoreSWEC, in a South African port development is presented.
Based on the device requirements, site selection criteria were specified and applied
to identify a suitable deployment location. A wave modeling procedure was
developed to determine the operational wave conditions and available wave power
resource at the selected location. The site was found to have a low mean annual
average resource of approximately 2.3 kilowatt per meter wave crest (kW/m) due to
its relatively sheltered location. The wave model was further used to determine
design storm conditions and a structural stability analysis of the device was
conducted.
Experimental tests were performed to evaluate the hydrodynamic conversion
efficiency of a single chamber of the device at its most conservative orientation,
under a variety of wave energy conditions. The effect of a floor incline and an
additional chamber on the performance of the system was investigated. The incline
improved efficiency for low wave heights, making it ideal for the low wave power
resource conditions of the site, whilst the multi-chamber system experienced
increased performance at high wave periods. A comparison between the
ShoreSWEC and a conventional oscillating water column (OWC) WEC showed that
the OWC extracted 72% more energy, highlighting the sensitivity of performance on
device orientation. A three-dimensional (3D) numerical model of the experimental
setup was developed. The numerical model provided comparable water surface
elevations inside the flume and chamber, yet predicted significantly higher internal
chamber pressures and overall efficiency. The electricity generation potential of a 10
chamber ShoreSWEC at the specified location, approximated from the experimental
results and 11 years of hindcast wave data, was found to be 6 kW on average for a
15 kW capacity system.
Results of this study highlighted the need for greater understanding of the
hydrodynamic characteristics of a full length device. Experimental tests in a 3D wave
basin on a scaled full length ShoreSWEC model are therefore recommended. Once
conducted, South Africa will be one step closer to the deployment of the full scale
SWEC device. / AFRIKAANSE OPSOMMING: Die ontwerp, ontwikkeling en evaluasie van ‘n unieke golfenergieomsetter (GEO),
genaamd die ShoreSWEC, in ‘n Suid-Afrikaanse haweontwikkeling word aangebied.
Terrein evaluasie kriteria, gebaseer op die omsettervereistes, is ontwikkel en
toegepas om die mees belowende terrein te identifiseer. ‘n
Golfmodeleringsprosedure is ontwikkel om die operasionele golfkondisies en
beskikbare golfdrywinghulpbron te bepaal. Daar is gevind dat die terrein ‘n lae
gemiddelde golfdrywing van bykans 2.3 kilowat per meter golfkruin het as gevolg
van die beskutte ligging. Die golfmodel is verder gebruik om ontwerpstormkondisies
te bepaal en ‘n stabiliteitsanalise was op die toestel struktuur uitgevoer.
Eksperimentele toetse van verskeie golfenergie kondisies is gedoen om die
hidrodinamiese omsettingseffektiwiteit van ‘n enkel kamer van die toestel te bepaal
teen sy konserwatiefste orientasie. Die effek van ‘n vloerhelling en ‘n addisionele
kamer op die uitsette van die sisteem is ondersoek. Die helling het effektiwiteit
verbeter vir lae golfhoogtes wat dit ideaal maak vir die lae hulpbron by die terrein,
terwyl die veelvoudige-kamer-sisteem beter gevaar het by hoë golfperiodes. ‘n
Vergelyking tussen die ShoreSWEC en ‘n konvensionele ossilerende waterkolom
(OWK) GEO het gewys dat die OWK 72% meer energie onttrek. Dit beklemtoon die
sisteem se sensitiwiteit vir die inkomende golfrigting. ‘n Drie-dimensionele (3D)
numeriese model van die eksperimentele opstelling is ontwikkel. Die numeriese
model het aansienlik hoër drukke binne die kamer, en gevolglik algehele effektiwiteit,
voorspel as die eksperimentele toetse. Die elektriese opwekkingskapasiteit van ‘n 10
kamer ShoreSWEC by die terrein, gebaseer op die eksperimentele resultate en 11
jaar se golfdata, is bereken as 6 kW gemiddeld vir ‘n 15 kW kapasiteit stelsel.
Die bevindinge van hierdie studie het die behoefte aan ‘n beter begrip van die
hidrodinamiese eienskappe van ‘n vollengte sisteem beklemtoon. Eksperimentele
toetse in ‘n 3D golfbak op ‘n geskaleerde vollengte ShoreSWEC model word dus
aanbeveel. Sodra dit voltooi is, sal Suid-Afrika een stap nader wees aan die
ontplooiing van ‘n volskaalse SWEC toestel.
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Reversible solid oxide fuel cells as energy conversion and storage devicesGamble, Stephen R. January 2011 (has links)
A reversible solid oxide fuel cell (RSOFC) system could buffer intermittent electrical generation, e.g. wind, wave power by storing electrical energy as hydrogen and heat. RSOFC were fabricated by thermoplastic extrusion of (La₀.₈Sr₀.₂)₀.₉₅MnO[subscript(3−δ)] (LSM) ceramic support tubes, which were microstructurally stable with 55% porosity at 1350°C. A composite oxygen electrode of LSM-YSZ was applied, providing a homogeneous substrate for a 20 μm - 30 μm thick YSZ electrolyte. A dip-coated 8YSZ slurry, and a painted commercial 3YSZ ink gave sintered densities of 90% and nearly 100% at 1350°C, respectively. A porous NiO/YSZ fuel electrode was also painted on. A Ag/Cu reactive air braze was unsuccessful at forming a void-free joint between the RSOFC and a 316 stainless steel gas delivery tube, as the braze did not penetrate the oxidation layer on the steel. Two alumina-based ceramic cements failed to fully seal the cell to an alumina gas delivery tube, due to thermal expansion coefficient mismatches and porosity after curing. Therefore, the maximum open circuit voltage (OCV) obtained during RSOFC testing was 0.8 V at 440°C. LSM-YSZ symmetrical cell performance measurements with oxygen pressure showed a diffusion polarisation, which was assigned to dissociative adsorption and surface diffusion of oxygen species. A collaborative RSOFC system software model showed ohmic and activation losses dominated the RSOFC, and diffusion losses were insignificant. Pressurisation from 1 to 70 bar increased the RSOFC Nernst voltage by 11% at 900°C, and reduced the entropy of the gases, reducing heat production and increasing electrical efficiency. A 500 kg Sn/Cu phase change heat store prevented the system overheating. Over a 16 h discharge-charge RSOFC cycle in the range 5 mol.% - 95 mol.% hydrogen in steam, at 20.4 A per cell or 3250 A m⁻², the electrical energy storage efficiency was 64.4%.
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Energy Transfer and Conversion in the Magnetosphere-Ionosphere SystemRosenqvist, Lisa January 2008 (has links)
<p>Magnetized planets, such as Earth, are strongly influenced by the solar wind. The Sun is very dynamic, releasing varying amounts of energy, resulting in a fluctuating energy and momentum exchange between the solar wind and planetary magnetospheres. The efficiency of this coupling is thought to be controlled by magnetic reconnection occurring at the boundary between solar wind and planetary magnetic fields. One of the main tasks in space physics research is to increase the understanding of this coupling between the Sun and other solar system bodies. Perhaps the most important aspect regards the transfer of energy from the solar wind to the terrestrial magnetosphere as this is the main source for driving plasma processes in the magnetosphere-ionosphere system. This may also have a direct practical influence on our life here on Earth as it is responsible for Space Weather effects. In this thesis I investigate both the global scale of the varying solar-terrestrial coupling and local phenomena in more detail. I use mainly the European Space Agency Cluster mission which provide unprecedented three-dimensional observations via its formation of four identical spacecraft. The Cluster data are complimented with observations from a broad range of instruments both onboard spacecraft and from groundbased magnetometers and radars.</p><p>A period of very strong solar driving in late October 2003 is investigated. We show that some of the strongest substorms in the history of magnetic recordings were triggered by pressure pulses impacting a quasi-stable magnetosphere. We make for the first time direct estimates of the local energy flow into the magnetotail using Cluster measurements. Observational estimates suggest a good energy balance between the magnetosphere-ionosphere system while empirical proxies seem to suffer from over/under estimations during such extreme conditions.</p><p>Another period of extreme interplanetary conditions give rise to accelerated flows along the magnetopause which could account for an enhanced energy coupling between the solar wind and the magnetosphere. We discuss whether such conditions could explain the simultaneous observation of a large auroral spiral across the polar cap.</p><p>Contrary to extreme conditions the energy conversion across the dayside magnetopause has been estimated during an extended period of steady interplanetary conditions. A new method to determine the rate at which reconnection occurs is described that utilizes the magnitude of the local energy conversion from Cluster. The observations show a varying reconnection rate which support the previous interpretation that reconnection is continuous but its rate is modulated.</p><p>Finally, we compare local energy estimates from Cluster with a global magnetohydrodynamic simulation. The results show that the observations are reliably reproduced by the model and may be used to validate and scale global magnetohydrodynamic models.</p>
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A Parametric Study on Power Variation for Model Wind Turbine ArraysDeLucia, Dominic 28 August 2013 (has links)
This thesis presents the results of wind tunnel experiments performed for various model wind turbine arrays. The aim is to understand how siting affects power output. To optimize wind farm efficiency the experiments vary the parameters of the model wind turbines and the layout of the wind turbine array. The parameters include the alignment, height, spacing, and the rotational direction of the model wind turbines. These experiments employ mechanical torque sensors to simultaneously measure the torque and rotor angular velocity, which yields a direct measurement of the fluid mechanical power extracted by the turbine at multiple locations. For a 4 × 3 array, the power is calculated at the center turbine in each of the rows. Variations in wind farm efficiency ranging from 55% to 90% are observed between the 13 different layouts tested. Modifications to the layout of the wind turbine array clearly affects the power output of the wind turbines downstream. The results of such experiments highlight the importance of studying the relationship between wind farm layout and power output.
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