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.

This master thesis examines the functional safety of the pressure sensor XMP i which is produced by BD SENSORS Company. The aim of this thesis is the demonstration of compliance of the pressure sensor XMP I with functional safety integrity level SIL3 requirements. The thesis is divided into three parts. The first part deals with the concept of functional safety, defines the basic concepts of functional safety, compares the approaches of functional safety according to selected standards and provides a general procedure for the functional safety determination. The second part deal with technical systems reliability defines reliability indicators and describes selected types of reliability analysis used in practice, especially the FMEA/FMECA analysis. Third part deals with the reliability analysis of the sensor XMP i and with evaluation of results.

A growing use of sensors on the electric grid has opened the door to new methods of asset management: Distribution System Operators are now looking into conditionbased maintenance, as opposed to the traditional corrective or time-based methods. As an emerging field, the methodology must be constructed from the ground, with the little data available. The focus is put on cross-linked polyethylene medium voltage overhead lines (XLPE MVOHL)asthe asset to manage, and the aim of this work is to study under which conditions the use of sensors to improve maintenance scheduling on those lines is economically profitable. Solving this problem starts with a necessary review of key ageing mechanisms of XLPE MV overhead lines, followed by the identification of sensors which can monitor the quantities behind these mechanisms. Statistical models for the lifetime of electrical assets and economic models for the analysis of investments are also described. From this preliminary study, a condition-based maintenance methodology was devised using the concept of Health Index to gather data from multiple types of sensors into one unique indicator. Using existing literature, this health index is used to dynamically estimate the failure rate of the line. This failure rate is the key to condition-based maintenance scheduling: maintenance operations are triggered when the failure rate reaches a threshold. Selecting one ageing mechanism- electrical stress-, and one type of sensorpartial discharge inductive sensors-, a Python simulation was built (and is shared at the end of this thesis) allowing to compare the cost of predictive maintenance to the cost of corrective maintenance over several decades, with the key parameters clearly identified and analysed. Beyond the methodology in itself, the main result of the work is that the use of sensors is economically profitable in most of the studied conditions. This project also reveals the strong influence of some parameters on this profitability: condition monitoring is particularly justified for short-lived assets, with a narrow distribution of failures. The failure rate threshold must be set carefully as it has a major impact on the analysis: setting it too high leads to an unprofitable scenario. / Den ökande användningen av sensorer i elnätet har öppnat dörren för nya metoder för förvaltning av tillgångar: Distributionsnätsoperatörer tittar nu på tillståndsbaserat underhåll, i motsats till de traditionella korrigerande eller tidsbaserade metoderna. Eftersom det rör sig om ett nytt område måste metoden byggas upp från grunden, med de få data som finns tillgängliga. Fokus ligger på luftledningar av tvärbanden polyeten med medelhög spänning (XLPE MV OHL) som den tillgång som ska förvaltas, och syftet med detta arbete är att undersöka under vilka förhållanden det är ekonomiskt lönsamt att använda sensorer för att förbättra underhållsplaneringen på dessa ledningar. För att lösa detta problem börjar man med en nödvändig genomgång av de viktigaste åldringsmekanismerna för XLPE MV luftledningar, följt av identifiering av sensorer som kan övervaka de kvantiteter som ligger bakom dessa mekanismer. Statistiska modeller för livslängden för elektriska tillgångar och ekonomiska modeller för analys av investeringar beskrivs också. Utifrån denna preliminära studie utarbetades en metod för tillståndsbaserat underhåll med hjälp av begreppet hälsoindex för att samla data från flera olika typer av sensorer till en unik indikator. Med hjälp av befintlig litteratur används detta hälsoindex för att dynamiskt uppskatta felfrekvensen för ledningen. Denna felfrekvens är nyckeln till en tillståndsbaserad underhållsplanering: underhålls åtgärder utlöses när felfrekvensen når ett tröskelvärde. Genom att välja en åldringsmekanism- elektrisk belastning- och en typ av sensor- induktiva sensorer med partiell urladdning- byggdes en Python-simulering (som delas i slutet av denna avhandling) som gör det möjligt att jämföra kostnaden för förebyggande underhåll med kostnaden för korrigerande underhåll under flera decennier, med de viktigaste parametrarna tydligt identifierade och analyserade. Utöver själva metoden är det viktigaste resultatet av arbetet att användningen av sensorer är ekonomiskt lönsam under de flesta av de studerade förhållandena. Projektet visar också att vissa parametrar har ett starkt inflytande på denna lönsamhet: tillståndskontroll är särskilt motiverat för tillgångar med kort livslängd och en snäv fördelning av fel. Tröskelvärdet för felfrekvensen måste sättas med omsorg eftersom det har stor inverkan på analysen: om det sätts för högt leder det till ett olönsamt scenario.

This study examines the factors appear to lead to the failure of small businesses in the Kagiso Township. The high failure rate can be partially attributed to the lack of support that the small, medium and micro-enterprises (SMMEs) receive from support institutions as well as to their own internal weaknesses. Strategies are recommended that will help small businesses be more successful. The study was exploratory, descriptive and qualitative in nature. Semi-structured interviews were used to gather data. Results indicated that the most common causes of business failure were lack of knowledge regarding legal matters, lack of funding and a general lack of business acumen. The study recommends that government should improve the effectiveness of its support mechanisms and that record keeping and cash flow management training is critical for SMEs. These recommendations, if applied properly, will ensure small businesses' success in Kagiso and the rest of South Africa. / Economics / M.Tech. (Business Administration)

This study examines the factors appear to lead to the failure of small businesses in the Kagiso Township. The high failure rate can be partially attributed to the lack of support that the small, medium and micro-enterprises (SMMEs) receive from support institutions as well as to their own internal weaknesses. Strategies are recommended that will help small businesses be more successful. The study was exploratory, descriptive and qualitative in nature. Semi-structured interviews were used to gather data. Results indicated that the most common causes of business failure were lack of knowledge regarding legal matters, lack of funding and a general lack of business acumen. The study recommends that government should improve the effectiveness of its support mechanisms and that record keeping and cash flow management training is critical for SMEs. These recommendations, if applied properly, will ensure small businesses' success in Kagiso and the rest of South Africa. / Business Management / M.Tech. (Business Administration)

This study, using qualitative exploratory, descriptive and contextual research design, explored and described student nurses’ perspectives of the high failure rate in biological sciences. The study was conducted at one of the campuses of the school of nursing in the Free State province of South Africa. A purposively selected sample of 1st and 2nd year student nurses registered for the programme of education and training leading to registration as a nurse (general, psychiatric and community) and Midwife (R425, 1985; paragraph (iii) as amended) at the selected campus of the School of Nursing in the Free State was used. World café was utilized for data collection. Thematic analysis of data done using Braun and Clarke (2006) and for world café participants’ created documents, Blakeman, Samuelson and McEvoy (2012) method of document analysis was applied. The findings identified the internal and external causes of high failure rate in biological. Internal causes included students-related factors, which included difficulty in understanding the content and lack of motivation. The external causes involved content overload, inadequate utilisation of available limited resources, ineffective teaching methods and unfair assessment practices. Suggestions that were made by the students to improve the success rate in biological sciences were based on the perceived causes. Recommendations made included in-service education on interactive, evidence-based teaching learning methods in anatomy and physiology, provision of support for students with no background knowledge of biological sciences. / Health Studies / M.A. (Nursing Science)

In the rapidly evolving landscape of the Internet of Things (IoT), ensuring consistency and reliability becomes a top priority for a seamless user experience. In many instances, reliability is assessed through Quality of Service (QoS) metrics, sidelining traditional reliability metrics that thrive on time-dependent failure rates. The lack of a comprehensive framework that fully integrates all layers of an IoT system adds to the complexity. This gap makes it difficult to pinpoint specific areas that need improvement and to conduct a thorough assessment of the system’s reliability. This project addresses this intricate challenge, which holds significant relevance for industry professionals but remains unresolved. The project introduced an IoT architecture spanning the Power, Device, Edge, Application, and Cloud Layers. Within each layer, potential failure points were identified, and the reliability was analysed deploying time-based failure rates with an exponential distribution. Reliability Block Diagrams (RBDs) were employed to map the intricate inter-dependencies, though the framework’s adaptive nature allows for other system reliability methodologies. One of the primary outcomes of this research is the development of a new framework tailored for evaluating the reliability of various IoT system components. This framework yields insights into both system reliability and availability over time, serving as a pivotal tool for stakeholders such as device manufacturers, system integrators, network providers, and research institutions. The results show how the framework emerges as a pivotal starting point for IoT system reliability evaluation. Before this thesis, the feasibility of such a framework was uncertain, with concerns about its potential bias – being either too pessimistic or optimistic. Yet, the tangible results from this work affirm its capability to provide a balanced and reasonable reliability estimation, given the intricacies of IoT devices. This paves the way for subsequent research, enabling a deeper dive into targeted enhancements and fostering a nuanced understanding of IoT reliability. / I det snabbt föränderliga IoT-landskapet (Internet of Things) är det av högsta prioritet att säkerställa konsekvens och tillförlitlighet för en sömlös användarupplevelse. I många fall bedöms tillförlitligheten med hjälp av QoSmått (Quality of Service), vilket innebär att traditionella tillförlitlighetsmått som bygger på tidsberoende felfrekvenser åsidosätts. Avsaknaden av ett heltäckande ramverk som integrerar alla lager i ett IoT-system bidrar till komplexiteten. Denna brist gör det svårt att identifiera specifika områden som behöver förbättras och att göra en grundlig bedömning av systemets tillförlitlighet. Detta projekt tar itu med denna komplicerade utmaning, som har stor relevans för branschfolk men som fortfarande inte har lösts. Projektet introducerade en IoT-arkitektur som spänner över kraft-, enhets-, Edge-, applikationsoch molnlagren. Inom varje lager identifierades potentiella felpunkter och tillförlitligheten analyserades med hjälp av tidsbaserade felfrekvenser med en exponentiell fördelning. Tillförlitlighetsblockdiagram (RBD) användes för att kartlägga de komplicerade ömsesidiga beroendena, även om ramverkets adaptiva natur möjliggör andra metoder för systemtillförlitlighet. Ett av de främsta resultaten av denna forskning är utvecklingen av ett nytt ramverk som är skräddarsytt för att utvärdera tillförlitligheten hos olika IoT-systemkomponenter. Detta ramverk ger insikter om både systemets tillförlitlighet och tillgänglighet över tid, och fungerar som ett viktigt verktyg för intressenter som tillverkare av enheter, systemintegratörer, nätverksleverantörer och forskningsinstitutioner. Resultaten visar hur ramverket framstår som en viktig utgångspunkt för utvärdering av IoT-systemens tillförlitlighet. Före den här avhandlingen var det osäkert om ett sådant ramverk var genomförbart, med farhågor om dess potentiella partiskhet - att vara antingen för pessimistisk eller optimistisk. De konkreta resultaten från detta arbete bekräftar dock ramverkets förmåga att ge en balanserad och rimlig uppskattning av tillförlitligheten, med tanke på IoT-enheternas komplexitet. Detta banar väg för efterföljande forskning, vilket möjliggör en djupare analys av riktade förbättringar och främjar en nyanserad förståelse av IoT-tillförlitlighet.

A distribuição bivariada de Marshall-Olkin é estendida, relaxando-se a hipótese de choques exponencialmente distribuídos e assumindo-se dependência entre os choques individuais. Abordagem semelhante é considerada para sua versão dual. Representação por meio de cópula, propriedades probabilísticas e de confiabilidade assim como resultados em valores extremos são então obtidos. A propriedade de falta de memória bivariada é estendida assumindo-se uma função de dependência sem memória. Uma nova classe de distribuições caracterizada por essa propriedade estendida é introduzida. Correspondentes interpretações geométricas, procedimentos de construção, representação estocástica, relação com cópula de sobrevivência e propriedades de confiabilidade são derivadas. / Bivariate Marshall-Olkin model, Dual model, Exponential representation, Dependence function, Bivariate aging, Copula, Survival copula, Stochastic order, Bivariate extreme value distribution, Pickands measure, Pickands dependence function, Failure rate, Bivariate hazard gradient, Bivariate lack-of-memory, Residual lifetime vector, Characterization.

A distribuição bivariada de Marshall-Olkin é estendida, relaxando-se a hipótese de choques exponencialmente distribuídos e assumindo-se dependência entre os choques individuais. Abordagem semelhante é considerada para sua versão dual. Representação por meio de cópula, propriedades probabilísticas e de confiabilidade assim como resultados em valores extremos são então obtidos. A propriedade de falta de memória bivariada é estendida assumindo-se uma função de dependência sem memória. Uma nova classe de distribuições caracterizada por essa propriedade estendida é introduzida. Correspondentes interpretações geométricas, procedimentos de construção, representação estocástica, relação com cópula de sobrevivência e propriedades de confiabilidade são derivadas. / Bivariate Marshall-Olkin model, Dual model, Exponential representation, Dependence function, Bivariate aging, Copula, Survival copula, Stochastic order, Bivariate extreme value distribution, Pickands measure, Pickands dependence function, Failure rate, Bivariate hazard gradient, Bivariate lack-of-memory, Residual lifetime vector, Characterization.

We consider a class of periodic preventive maintenance (PM) optimization problems, for a single piece of equipment that deteriorates with time or use, and can be repaired upon failure, through corrective maintenance (CM). We develop analytical and simulation-based optimization models that seek an optimal periodic PM policy, which minimizes the sum of the expected total cost of PMs and the risk-averse cost of CMs, over a finite planning horizon. In the simulation-based models, we assume that both types of maintenance actions are imperfect, whereas our analytical models consider imperfect PMs with minimal CMs. The effectiveness of maintenance actions is modeled using age reduction factors. For a repairable unit of equipment, its virtual age, and not its calendar age, determines the associated failure rate. Therefore, two sets of parameters, one describing the effectiveness of maintenance actions, and the other that defines the underlying failure rate of a piece of equipment, are critical to our models. Under a given maintenance policy, the two sets of parameters and a virtual-age-based age-reduction model, completely define the failure process of a piece of equipment. In practice, the true failure rate, and exact quality of the maintenance actions, cannot be determined, and are often estimated from the equipment failure history. We use a Bayesian approach to parameter estimation, under which a random-walk-based Gibbs sampler provides posterior estimates for the parameters of interest. Our posterior estimates for a few datasets from the literature, are consistent with published results. Furthermore, our computational results successfully demonstrate that our Gibbs sampler is arguably the obvious choice over a general rejection sampling-based parameter estimation method, for this class of problems. We present a general simulation-based periodic PM optimization model, which uses the posterior estimates to simulate the number of operational equipment failures, under a given periodic PM policy. Optimal periodic PM policies, under the classical maximum likelihood (ML) and Bayesian estimates are obtained for a few datasets. Limitations of the ML approach are revealed for a dataset from the literature, in which the use of ML estimates of the parameters, in the maintenance optimization model, fails to capture a trivial optimal PM policy. Finally, we introduce a single-stage and a two-stage formulation of the risk-averse periodic PM optimization model, with imperfect PMs and minimal CMs. Such models apply to a class of complex equipment with many parts, operational failures of which are addressed by replacing or repairing a few parts, thereby not affecting the failure rate of the equipment under consideration. For general values of PM age reduction factors, we provide sufficient conditions to establish the convexity of the first and second moments of the number of failures, and the risk-averse expected total maintenance cost, over a finite planning horizon. For increasing Weibull rates and a general class of increasing and convex failure rates, we show that these convexity results are independent of the PM age reduction factors. In general, the optimal periodic PM policy under the single-stage model is no better than the optimal two-stage policy. But if PMs are assumed perfect, then we establish that the single-stage and the two-stage optimization models are equivalent. / text