<p>The purpose of this study is to develop a flexible computer tool to predict the power produced by a photovoltaic (PV) panel. The performance of the PV panel is dependent on the incident solar radiation and the cell temperature. The computer tool predicts voltage-current curves, power-voltage curves, and maximum power point values. Five different models are implemented to predict the temperature of the panel, and comparison between the different thermal models is good. A thermal capacitance approach that uses a simple relationship for the forced convection heat transfer coefficient is used to predict the cell temperature. Both the electrical and temperature models are verified through comparisons using PVWatts and validated by comparisons to measured values. The model is flexible in the sense that it can be applied to PV arrays of any size, at any location, and of different cell types. After being verified and validated, the model is used to investigate the effects of cooling on the photovoltaic panel to improve the panel efficiency and increase its power output. Typical results show that for every degree Celsius rise in temperature, the efficiency of the solar panel is reduced by 0.5%. The effect of cooling and the resulting increase in energy production in two different climatic zones are studied and discussed. </p>

This diploma thesis deals with a draft of wireless weather station, whose task is to measure basic values inside and outside the home. Measured variables are for example temperature, atmospheric pressure, relative humidity, wind speed and direction or concentration of carbon dioxide (CO2). These data will be transmitted to a web server for later processing. Possible technical solutions are described and the outcome is a designed printed circuit boards, which has been assembled and tested. Resulting system was tested in trial operation.

Offshore renewable energy systems, such as Wave Energy Converters or an Offshore Wind Turbine, must be designed to withstand extremes of the weather environment. For this, it is crucial both to have a good understanding of the wave and wind climate at the intended offshore site, and of the system reaction and possible failures to different weather scenarios. Based on these considerations, the first objective of this thesis was to model and identify the extreme wind speed and significant wave height at an offshore site, based on measured wave and wind data. The extreme wind speeds and wave heights were characterized as return values after 10, 25, 50, and 100 years, using the Generalized Extreme Value method. Based on a literature review, fragility curves for wave and wind energy systems were identified as function of significant wave height and wind speed. For a wave energy system, a varying failure rate as function of the wave height was obtained from the fragility curves, and used to model the resilience of a wave energy farm as a function of the wave climate. The cases of non-constant and constant failure rates were compared, and it was found that the non-constant failure rate had a high impact on the wave energy farm's resilience. When a non-constant failure rate as a function of wave height was applied to the energy wave farm, the number of Wave Energy Converters available in the farm and the absorbed energy from the farm are nearly zero. The cases for non-constant and an averaged constant failure of the instantaneous non-constant failure rate as a function of wave height were also compared, and it was discovered that investigating the resilience of the wave energy farm using the averaged constant failure rate of the non-constant failure rate results in better resilience. So, based on the findings of this thesis, it is recommended that identifying and characterizing offshore extreme weather climates, having a high repair rate, and having a high threshold limit repair vessel to withstand the harsh offshore weather environment.

[pt] O Brasil sempre foi um país que teve sua matriz elétrica pautada majoritariamente em fontes renováveis, mais especificamente na hídrica. Com passar dos anos, esta tem se diversificado e demonstrado uma maior participação da fonte eólica. Para melhor explorála, pesquisas visando modelar seu comportamento são essenciais. Entretanto, não é sempre que se tem dados de velocidade do vento e de geração eólica disponíveis em quantidade e nas localidades de interesse. Esses dados são primordiais para identificar potenciais locais de instalação de parques eólicos, melhorar o desempenho dos existentes e estimular pesquisas de previsão e simulação da geração eólica que são entradas para auxiliar na melhor performance do planejamento e da operação do setor elétrico brasileiro. Na carência de dados de velocidade do vento, uma alternativa é o uso de dados vindos de base de reanálises. Elas disponibilizam longos históricos de dados de variáveis climáticas e atmosféricas para diversos pontos do globo terrestre e de forma gratuita. Desta forma, a primeira contribuição deste trabalho teve como foco a verificação da representatividade dos dados de velocidade do vento, disponibilizados pelo MERRA-2, no território brasileiro. Seguindo as recomendações da literatura, utilizou-se técnicas de interpolação, extrapolação e correção de viés para melhorar a adequação as velocidades fornecidas pela base de reanalise as que acontecem na altura dos rotores das turbinas dos parques eólicos. Em uma segunda contribuição combinou-se os dados do MERRA-2 com os de potência medidas em parques eólicos brasileiros para modelar de modo estocástico e não paramétrico a relação existente entre a velocidade e potência nas turbinas eólicas. Para isto utilizou-se as técnicas de clusterização, estimação das curvas de densidade e simulação. Por fim, em uma terceira contribuição, desenvolveu-se um aplicativo, no ambiente shiny, para disponibilizar as metodologias desenvolvidas nas duas primeiras contribuições. / [en] Brazil s energy landscape has historically relied heavily on renewable sources, notably hydropower, with wind energy emerging as a significant contributor in recent years. Understanding and harnessing the potential of wind energy necessitates robust modeling of its behavior. However, obtaining comprehensive wind speed and generation data, particularly in specific locations of interest, remains a challenge. In the absence of wind speed data, an alternative is to use data from a reanalysis database. They provide long histories of data on climatic and atmospheric variables for different parts of the world, free of charge. Therefore, the first contribution of this work focused on verifying the representativeness of wind speed data made available by MERRA-2 in Brazilian territory. Following literature recommendations, interpolation, extrapolation, and bias correction techniques were used to improve the adequacy of the speeds provided by the reanalysis based on those that occur at the height of the wind farm turbine rotors. In a second contribution, MERRA-2 data was combined with power measured in Brazilian wind farms to model in a stochastic and non-parametric way the relationship between speed and power in wind turbines. For this purpose, clustering, density curve estimation, and simulation techniques were used. Finally, the research culminates in the development of an application within the Shiny environment, offering a user-friendly platform to access and apply the methodologies devised in the preceding analyses. By making these methodologies readily accessible, the application facilitates broader engagement and utilization within the research community and industry practitioners alike.

Cette thèse s’intéresse à la problématique de la prédiction dans le cadre du design de systèmes énergétiques et des problèmes d’opération, et en particulier, à l’évaluation de l’adéquation de systèmes de production d’énergie renouvelables. L’objectif général est de développer une approche empirique pour générer des prédictions avec les incertitudes associées. En ce qui concerne cette direction de la recherche, une approche non paramétrique et empirique pour estimer les intervalles de prédiction (PIs) basés sur les réseaux de neurones (NNs) a été développée, quantifiant l’incertitude dans les prédictions due à la variabilité des données d’entrée et du comportement du système (i.e. due au comportement stochastique des sources renouvelables et de la demande d'énergie électrique), et des erreurs liées aux approximations faites pour établir le modèle de prédiction. Une nouvelle méthode basée sur l'optimisation multi-objectif pour estimer les PIs basée sur les réseaux de neurones et optimale à la fois en termes de précision (probabilité de couverture) et d’information (largeur d’intervalle) est proposée. L’ensemble de NN individuels par deux nouvelles approches est enfin présenté comme un moyen d’augmenter la performance des modèles. Des applications sur des études de cas réels démontrent la puissance de la méthode développée. / This Ph.D. work addresses the problem of prediction within energy systems design and operation problems, and particularly the adequacy assessment of renewable power generation systems. The general aim is to develop an empirical modeling framework for providing predictions with the associated uncertainties. Along this research direction, a non-parametric, empirical approach to estimate neural network (NN)-based prediction intervals (PIs) has been developed, accounting for the uncertainty in the predictions due to the variability in the input data and the system behavior (e.g. due to the stochastic behavior of the renewable sources and of the energy demand by the loads), and to model approximation errors. A novel multi-objective framework for estimating NN-based PIs, optimal in terms of both accuracy (coverage probability) and informativeness (interval width) is proposed. Ensembling of individual NNs via two novel approaches is proposed as a way to increase the performance of the models. Applications on real case studies demonstrate the power of the proposed framework.

Climate change has become one of the most debated environmental risks. The world is faced with the threat of weather variability. There has been an increase in the frequency and severity of extreme weather events. There is rising concern that weather losses might affect the sustainability of insurance businesses. The primary obective of the study was to ascertain the significance of changes in temperature, precipitation and wind speeds in explaining changes in weather-related claims.Furthermore the reseach had three key secondary objectives, firstly to find if changes in annual average temperature levels lead to changes in weather-related claims. Secondly to determine if average annual wind speeds lead to changes in weather-related loss .Thirdly to establish if the average changes in annual rainfall or precipitation levels lead to changes in weather-related claims. Quantitatively this study explored the relationship between climate change and weather losses in South Africa. Temperature, rainfall, and wind speed were the main weather variables analysed. Lack of properly recorded insured weather losses was the major challenge. Nonetheless, total economic weather losses were used as a proxy for insured weather losses.The analysis employed regression, cointegration and vector error correction models. Study findings showed that climate change is influencing weather losses. The existence of correlation and causality between weather variables and losses was also affirmed. Thus the insurance industry should comprehensively incorporate climate change into its business strategy to minimise exposure. / Business Management / M. Com. (Business Management)

L’énergie éolienne, l’une des énergies renouvelables les plus compétitives, est considérée comme une solution qui remédie aux inconvénients de l’énergie fossile. Pour une meilleure gestion et exploitation de cette énergie, des prévisions de sa production s’avèrent nécessaires. Les méthodes de prévisions utilisées dans la littérature permettent uniquement une prévision de la moyenne annuelle de cette production. Certains travaux récents proposent l’utilisation du Théorème Central Limite (TCL), sous des hypothèses non classiques, pour l’estimation de la production annuelle moyenne de l’énergie éolienne ainsi que sa variance pour une seule turbine. Nous proposons dans cette thèse une extension de ces travaux à un parc éolien par relaxation de l’hypothèse de stationnarité la vitesse du vent et la production d’énergie, en supposant que ces dernières sont saisonnières. Sous cette hypothèse la qualité de la prévision annuelle s’améliore considérablement. Nous proposons aussi de prévoir la production d’énergie éolienne au cours des quatre saisons de l’année. L’utilisation du modèle fractal, nous permet de trouver une division ”naturelle” de la série de la vitesse du vent afin d’affiner l’estimation de la production éolienne en détectant les points de ruptures. Dans les deux derniers chapitres, nous donnons des outils statistiques de la détection des points de ruptures et d’estimation des modèles fractals. / The wind energy, one of the most competitive renewable energies, is considered as a solution which remedies the inconveniences of the fossil energy. For a better management and an exploitation of this energy, forecasts of its production turn out to be necessary. The methods of forecasts used in the literature allow only a forecast of the annual mean of this production. Certain recent works propose the use of the Central Limit Theorem (CLT), under not classic hypotheses, for the estimation of the mean annual production of the wind energy as well as its variance for a single turbine. We propose in this thesis, an extension of these works in a wind farm by relaxation of the hypothesis of stationarity the wind speed and the power production, supposing that the latter are seasonal. Under this hypothesis the quality of the annual forecast improves considerably. We also suggest planning the wind power production during four seasons of the year. The use of the fractal model, allows us to find a "natural" division of the series of the wind speed to refine the estimation of the wind production by detecting abrupt change points. Statistical tools of the change points detection and the estimation of fractal models are presented in the last two chapters.

No description available.

Η παρούσα διπλωματική εργασία πραγματεύεται τη μελέτη και τη μοντελοποίηση ενός αιολικού συστήματος παραγωγής ηλεκτρικής ενέργειας βασισμένο σε σύγχρονη γεννήτρια μόνιμου μαγνήτη (PMSG). Ειδικότερα, παρουσιάζονται και αναλύονται όλα τα τμήματα που αποτελούν το αιολικό σύστημα καθώς και οι λογικές ελέγχου που ακολουθήθηκαν για την αποτελεσματική λειτουργία του. Επιπλέον, μελετάται και μοντελοποιείται μια διάταξη αποθήκευσης ενέργειας από την οποία πλαισιώνεται το αιολικό σύστημα κατά την αυτόνομη λειτουργία του. Τέλος, παρουσιάζονται και σχολιάζονται τα αποτελέσματα της προσομοίωσης της λειτουργίας του συστήματος, σε σύνδεση με το δίκτυο και κατά την αυτόνομη λειτουργία του. Για την ανάπτυξη του μοντέλου και την προσομοίωση χρησιμοποιήθηκε το πρόγραμμα Simulink/Matlab. Στο Κεφάλαιο 1 γίνεται αναφορά στο ενεργειακό πρόβλημα και μια γενική εισαγωγή στις ανανεώσιμες πηγές ενέργειας. Επιπλέον, δίνονται διάφορες πληροφορίες γύρω από την αιολική ενέργεια και αναλύονται τα πλεονεκτήματα και μειονεκτήματα της χρήσης ανεμογεννητριών. Επίσης, παρουσιάζεται η δομή μιας ανεμογεννήτριας και παραθέτονται διάφοροι τύποι ανεμογεννητριών, ενώ δίνονται και οι βασικές σχέσεις μετατροπής της αιολικής ενέργειας σε ηλεκτρική. Στο Κεφάλαιο 2 γίνεται ανάλυση κάθε τμήματος της ανεμογεννήτριας (πτερωτή, σύστημα μετάδοσης κίνησης, γεννήτρια) και παρατίθενται οι εξισώσεις που περιγράφουν τη λειτουργία τους. Επιπρόσθετα, παρουσιάζεται ο τρόπος μοντελοποίησης του κάθε τμήματος στο περιβάλλον του Simulink. Ιδιαίτερη έμφαση δόθηκε στη μελέτη της σύγχρονης γεννήτριας μόνιμου μαγνήτη καθώς παρουσιάζεται με λεπτομέρεια η δομή της καθώς και οι αρχές που διέπουν τη λειτουργία της. Τέλος, δίνονται όλα τα χαρακτηριστικά μεγέθη της ανεμογεννήτρια που χρησιμοποιήθηκε στην παρούσα εργασία. Στο Κεφάλαιο 3 αρχικά, γίνεται μια γενική παρουσίαση των στοιχείων που αποτελούν τους μετατροπείς, ενώ στη συνέχεια παρουσιάζονται οι βασικές κατηγορίες μετατροπέων που υπάρχουν και αναφέρονται μερικοί βασικοί τύποι μετατροπέων που βρίσκουν εφαρμογή σε αιολικά συστήματα γενικότερα. Έπειτα, το κεφάλαιο επικεντρώνεται στους μετατροπείς που χρησιμοποιήθηκαν στο αιολικό σύστημα της παρούσας εργασίας καθώς εξηγείται ο τρόπος λειτουργίας τους και παρουσιάζεται ο τρόπος μοντελοποίησης τους στο Simulink. Έμφαση δόθηκε στον dc/dc μετατροπέα ανύψωσης τάσης που χρησιμοποιήθηκε, όπου γίνεται διαστασιολόγηση και παρουσιάζεται μια μικρή προσομοίωση της λειτουργίας του. Τέλος, παρουσιάζεται, επίσης, το φίλτρο που τοποθετείται στην έξοδο του αντιστροφέα. Στο Κεφάλαιο 4 περιγράφονται αναλυτικά η τεχνική διαμόρφωσης εύρους παλμών (PWM) και η τεχνική της ημιτονοειδούς διαμόρφωσης εύρους παλμών (SPWM), οι οποίες και εφαρμόστηκαν για την παλμοδότηση των μετατροπέων. Στη συνέχεια, περιγράφονται αναλυτικά οι μηχανισμοί ελέγχου που εφαρμόστηκαν με τη βοήθεια PI ελεγκτών, τόσο στην πλευρά της μηχανής (dc/dc μετατροπέας ανύψωσης τάσης) όσο και στον αντιστροφέα του αιολικού συστήματος. Στο Κεφάλαιο 5 παρουσιάζονται και σχολιάζονται τα αποτελέσματα της προσομοίωσης του αιολικού συστήματος σε σύνδεση με το δίκτυο. Το σύστημα προσομοιώνεται για δύο περιπτώσεις, σε πρώτη φάση γίνεται προσομοίωση του συστήματος υπό σταθερή ταχύτητα ανέμου ίση με 12 m/s και σε δεύτερη φάση προσομοιώνεται η λειτουργία του συστήματος για βηματικές μεταβολές της ταχύτητας του ανέμου. Στο Κεφάλαιο 6 μελετάται η αυτόνομη λειτουργία του αιολικού συστήματος το οποίο, πλέον, πλαισιώνεται με μια διάταξη αποθήκευσης ενέργειας. Αρχικά, παρουσιάζεται το σύστημα αποθήκευσης ενέργειας που χρησιμοποιήθηκε. Συγκεκριμένα η συστοιχία μπαταριών της οποίας δίνονται τα χαρακτηριστικά μεγέθη, καθώς και το μοντέλο της στο Simulink. Επίσης, παρουσιάζεται και μοντελοποιείται ο dc/dc μετατροπέας δύο κατευθύνσεων ο οποίος συνδέει τη συστοιχία με το υπόλοιπο σύστημα. Στη συνέχεια, περιγράφεται αναλυτικά ο μηχανισμός ελέγχου που εφαρμόζεται στη διάταξη αποθήκευσης ενέργειας για τον έλεγχο της φόρτισης/εκφόρτισης. Στο τέλος του κεφαλαίου παρουσιάζονται τα αποτελέσματα της προσομοίωσης του αυτόνομου αιολικού συστήματος για σταθερή ταχύτητα ανέμου-μεταβαλλόμενο φορτίο και για μεταβαλλόμενο άνεμο-σταθερό φορτίο. / In this thesis, a wind energy conversion system (WECS) based on a permanent magnet synchronous generator (PMSG) was studied and simulated. All parts of the WECS are presented and discussed in detail. Furthermore, control strategies for the generator-side converter and the voltage source inverter are developed. The WECS is simulated both in grid connected and stand-alone mode. In the stand-alone mode, the WECS is supplied with an energy storage system for which a bi-directional buck/boost converter and control strategy was designed. Finally, simulation results are presented and performance of the system in various modes of operation is evaluated. Simulink/Matlab is used for modeling and simulating the WECS. At the beginning of Chapter 1, a discussion of energy crisis and renewable energy sources is held. Furthermore, information about wind energy has been reviewed and its benefits and drawbacks are examined. In addition, the structure of a wind turbine and the principles of converting wind energy into electricity are presented. In Chapter 2 all parts of the wind turbine are studied and its characteristics are specified. Even more, the model of every part in Simulink is presented. Theoretical background, structure and operation principles of PMSG are presented in detail. In Chapter 3, firstly a general presentation of converters components takes place. Then the major existing categories of converter are presented and some basic types of converters, which are generally used in WECS, are mentioned. Moreover, the chapter focuses on the converters that are used in this thesis, explaining the way they operate. After all, their models in Simulink are shown. Emphasis was given to the dc/dc boost converter whose parameters are calculated and its operation is simulated. Finally, there is a presentation of the filter which was placed at the output of the inverter. In Chapter 4, Pulse-width Modulation (PWM) and Sinusoidal Pulse-width Modulation (SPWM) techniques that are used in this thesis are described. Moreover, the control strategy for the generator-side converter with maximum power extraction is presented. The control strategy of the voltage sourced inverter is shown as well. In Chapter 5 simulation results of the grid connected WECS are presented and evaluated. On the first part of the presentation, the WECS is simulated for constant wind speed (12m/s), and in the second part for step-changed wind speed. In Chapter 6 the stand-alone operation of the WECS is studied and supplied with an energy storage system. Initially, there is an analysis of the energy storage system, which was used, and in particular the battery bank, whose characteristics are given. Moreover, a Bi-directional dc/dc Buck-Boost converter which is used to interconnect the battery bank to the dc-link is presented and modeled. Afterwards, there is a detailed description of the control strategy used in order to control charging / discharging of the battery bank. At the end of this chapter, simulation results of two different stand-alone operation modes are presented, one with constant wind speed and variable load and the other one with step-changing wind speed and constant load.

In this study, the local similarity theory functions were calculated with two different approaches and on the other hand the mean hub height wind speed was compared with the rotor equivalent wind speed. Both calculations are based on two independent data-sets from measurement campaigns Hornamossen and Ryningsnäs which were conducted in the south of Sweden between May 2015 and June 2017, and November 2010 and February 2012. The first campaign includes measurements between 100 and 173 m and the second 98 and 138 m. In general, the aims were to validate if the results with reference functions and to compare the results from both approaches. The local similarity theory was used, because well above the ground, the assumption of a constant flux layer typically does not hold especially in the stable boundary layer. The used approaches are the flux-gradient and Richardson number formulation. Based on those, the non-dimensional universal functions for momentum and heat could be calculated and those could be presented as functions of the stability parameter. As shown in this study, the scatter the Richardson number formulation results are significant smaller compared to the flux-gradient formulation. One reason can be that the stability parameter and the universal functions for momentum and heat depend solely on the Richardson number. Despite the higher scatter, the medians of the universal function for momentum based on the flux-gradient formulations for both data-sets agree also with the references. Furthermore, for the results of the universal function for heat based on the flux-gradient formulation agree with the references if the minimum limit for the kinetic heat flux is significantly higher than for the universal function for momentum. Furthermore, in the publication from England &amp; McNider 1995, who derived the Richardson number formulation, includes two erroneous equations for stable stratification. One of them has a tipping error and the other was incorrectly derived. Thus, the corrected equations are presented in this work. This work also presents new equations which are not based on the assumption that the constants of the empirical formulation for the universal function for momentum and heat with the same value. A comparison of the old and new equations show for a generated Richardson number vales a agreement of the results over the defined Richardson number range. Finally, in the wind industry it is a common practice to use the mean wind speed at the hub height as the representative mean wind speed over the entire rotor swept area. However, this assumption differs increasingly from the reality, because turbine sizes increase constantly. Thus, in this study, this common method is compared with another averaging concept. Hence, the work focuses on a area-weighted mean wind speed which is called the rotor equivalent wind speed. This average gives a better estimation of the existing wind field because it is based on multiple measurements at various heights. Since the wind gradient changes with height, those two velocities are plotted as functions of the same stability parameter as above. The main results in unstable stratification are that the hub height wind speed underestimates the rotor equivalent wind speed by about 1 to 1.5 %. In stable stratification the results vary: Two calculations show a overestimates by about 1 % and another shows no difference between those averages. Hence, the conclusion based on those findings are that the hub height wind speed is a source for a higher modelling uncertainty. On the contrary, the rotor equivalent wind speed gives more accurate modelling results. / I denna studie beräknades de lokala likhetsteorifunktionerna med två olika tillvägagångssätt och å andra sidan jämförs genomsnittliga vindhastigheten vid navhöjden med rotorekvivalent vindhastigheten. Beräkningarna är baserad på två oberoende datamängder från mätningskampanjer Hornamossen och Ryningsnäs som genomfördes i södra Sverige mellan maj 2015 och juni 2017 och november 2010 och februari 2012. Första kampanj innehåller mätningar mellan 100 och 173 m och den andra 98 och 138 m. Generellt var målet att validera resultaten med referensfunktioner och jämföra både tillvägagångssätt med varandra. Lokala likhetsteorinen används eftersom för mätningar långt över marken håller antagandet om ett konstant flödesskikt vanligtvis inte. Det gäller särskilt i det stabila gränsskiktet. De två tillvägagångssätten är flödesgradientförhållandet och Richardson-talformuleringen. Baserade på de formuleringarna kan de icke-dimensionella universella funktionerna för momentum och värme beräknas och de visas som en funktion av stabilitetsparametern. I denna studie visas att spridningen av Richardsons talformuleringsresultat är signifikant mindre jämfört med andra metoden. En anledning är att stabilitetsparameter och både universella funktioner beror endast på Richardson tal. Trots den högre spridningen överensstämmer medianerna för den universella funktionen för momentum baserat på flödesgradientformuleringarna med referenserna. Detsamma gäller för resultaten av den universella funktionen för värme baserat på flödesgradientformuleringen om minimigränsen om kinetiska värmeflödet är betydligt högre än för den universella funktionen för momentum. Dessutom innehåller publikationen från England &amp; McNider 1995, som innehåller härledning av Richardson talformulering, två felaktiga ekvationer för stabila gränsskiktet. En av dem har ett tippfel och den andra var felaktigt härledd. Detta arbete presenteras de korrigerade ekvationerna. Dessutom presenteras en uppsättning nya ekvationer där de konstanterna av den empiriska formuleringen för den universella funktionen för momentum och värme inte antas att har samma värde. Slutligen är det i vindindustrin en vanlig praxis att använda den genomsnittliga vindhastigheten vid navhöjden som den representativa medelvindhastigheten för hela "rotor swept area". Turbinstorlekarna ökar dock ständigt och därför får skillnaden mellan realitet och beräkningen alltid större. Således fokusera denna studien en areaviktad medelvindhastighet som heter rotorekvivalent vindhastighet. Den beräknar medelvindhastigheten med ett mindre osäkerhet eftersom den är baserad på flera vindmätningar på olika höjder. På grund av ett ojämt vindgradient i gränsskiktet visas resulten som funktion av densamma stailitetsparameter från likhetsteorien. Huvudresultaten för instabil gränskiktet är att navhöjdens vindhastigheten underskattar rotorekvivalent vindhastigheten med cirka 1 till 1,5 %. För det stabila gränskiktet finns olika resultaten: Två beräkningar visar att navhöjdens vindhastigheten överskattningar rotorekvivalent vindhastigheten med ungefär 1 % och en beräkning visa inget skillnad mellan medelvärdarna. Slutsatsen är att navhöjdens vindhastigheten är ett källa till ett högre modelleringsosäkerhet. Däremot visades att användningen av rotorekvivalent vindhastigheten leda till ett bättre prognosresultat. / In dieser Studie wurde einerseits die lokale ähnlichkeitstheorie mit zwei unterschiedlichen Ansätzen berechnet und andererseits die durchschnittliche Nabenhöhen- mit der rotor-äquivalenten Windgeschwin- digkeit verglichen. Dafür standen zwei unabhängige Datensätze zur Verfügung, welche Messwerte zwischen 98 und 173 m beinhalteten. Die Messungen wurden in Südschweden durch die Messtürme Hornamossen und Ryningsnäs in den Zeiträumen von Mai 2015 bis Juni 2017 und von November 2012 bis Februar 2012 erhoben. Das Ziel dieser Studie war es, die Ergebnisse aus den Berechnungen mit Referenzfunktionen zu validieren und den ausgewählten Ansätzen zu vergleichen. Für Messungen mit mehr als 100 m über der Erdoberfläche ist die lokale ähnlichkeitstheorie anstelle der ähnlichkeitstheorie basierend auf der konstanten Flussschicht besser geeignet, da letztere von einem konstanten Wert ausgeht. Die Ansätze, die hierfür verwendet wurden, sind die „Flux-Gradient Formulation“ und die „Gradient Richardson Number Formulation“. Mit beiden kann die universelle Impuls- und Wärmefunktion berechnet und als Funktion des Stabilitätsparameters dargestellt werden. Wie diese Studie zeigt, ist die Streuung um die Referenzkurven sehr klein für die „Gradient Richardson Number“ Ergebnisse im Vergleich zur „Flux-Gradient Formulation“. Dies liegt daran, dass sowohl der Stabilitätsparameter und die universellen Impuls- und Wärmefunktion nur von der Richardson-Zahl abhängen. Trotz der höheren Streuung für die „Flux-Gradient Formulation“ stimmen die Mediane der universellen Impulsfunktionen von beiden Datensätzen und die Referenzkurven überein. Das Gleiche gilt für die Ergebnisse der universellen Wärmefunktion basierend auf der „Flux-Gradient Formulation“, wenn der Mindestwert für den kinetischen Wärmefluss signifikant größer ist als für die universelle Impulsfunktion. Ausgangspunkt ist die Veröffentlichung von England &amp; McNider 1995, welche die „Gradient Richardson Number Formulation“ dargestellt haben. Diese enthält zwei fehlerhafte Gleichungen, wovon eine einen Tippfehler aufweist und die andere auf einer fehlerhaften Herleitung basiert. Diese Arbeit stellt daher ebenso die korrigierten Gleichungen dar. Zusätzlich werden neue Gleichungen vorgestellt, bei denen nicht angenommen wird, dass die von England &amp; McNider angenommenen Konstanten der empirischen Funktionen für die universelle Impuls- und Wärmefunktion den gleichen Wert haben. In der Windindustrie ist es üblich, dass die durchschnittliche Nabenhöhen-Windgeschwindigkeit als Durchschnittsgeschwindigkeit für die gesamte „rotor swept area“ angenommen wird. Diese Annahme weicht immer mehr von der Realität ab, weil Windkraftwerke kontinuierlich größer werden. Daher wird in dieser Arbeit auf eine flächengewichtete mittlere Windgeschwindigkeit mit der Bezeichnung Rotor-äquivalente Windgeschwindigkeit gearbeitet. Diese produziert realistischere Durchschnittswerte, weil sie Messungen von mehreren vertikal verteilten Messpunkten einbezieht. Aufgrund des sich verändernden Windgradientens in der Grenzschicht wird die Abweichung zwischen diesen beiden Geschwindig- keiten als Funktion der Schichtungsstabilität dargestellt. Die zentralen Ergebnisse dieser Studie zeigen zusammenfassend, dass bei labiler Schichtung die Nabenhöhen-Windgeschwindigkeit die Rotor-äquivalente Windgeschwindigkeit um etwa 1 % bis 1.5 % unterschätzt. Für die stabile Schichtung unterscheiden sich die Ergebnisse: Zwei Berechnungen zeigen, dass die Nabenhöhen-Windgeschwindigkeit die Rotor-äquivalente Windgeschwindigkeit um ca. 1 % überschätzt und eine andere Berechnung zeigt keinen Unterschied zwischen den Mittelwerten. Daraus kann gefolgert werden, dass die Nabenhöhen-Windgeschwindigkeit eine höhere Fehlerquelle aufweist. Im Gegensatz dazu liefert die rotor-äquivalente Windgeschwindigkeit genauere Prognosewerte.