In order to optimize limited infrastructure, many power systems are frequently operated close to critical, or bifurcation, points. While operating close to such critical points can be economically advantageous, doing so increases the probability of a blackout. With the continued deployment of Phasor Measurement Units (PMUs), high sample rate data are dramatically increasing the real time observability of the power grids. Prior research has shown that the statistics of these data can provide useful information regarding network stability and associated bifurcation proximity. Currently, it is not common practice for transmission and distribution control centers to leverage the higher order statistical properties of PMU data. If grid operators have the tools to determine when these statistics warrant control action, though, then the otherwise unused statistical data present in PMU streams can be transformed into actionable information. In order to address this problem, we present two methods that aim to gauge and improve system stability using the statistics of PMU data. The first method shows how sensitivity factors associated with the spectral analysis of the reduced power flow Jacobian can be used to weight and filter incoming PMU data. We do so by demonstrating how the derived participation factors directly predict the relative strength of bus voltage variances throughout a system. The second method leverages an analytical solver to determine a range of "critical" bus voltage variances. The monitoring and testing of raw statistical data in a highly observable load pocket of a large system are then used to reveal when control actions are needed to mitigate the risk of voltage collapse. A simple reactive power controller is then implemented that pushes the stability of the system back to a stable operating paradigm. Full order dynamic time domain simulations are used in order to test this method on both the IEEE 39 bus system and the 2383 bus Polish system. We also compare this method to two other, more conventional, controllers. The first relies on voltage magnitude signals, and the second depends only on local control of a reactive power resource. This comparison illustrates how the use of statistical information from PMU measurements can substantially improve the performance of voltage collapse mitigation methods.

Context: The study of expertise in medical education has tended to follow the traditions of describing either the analytic processes or the non-analytic resources that experts acquire with experience. We argue that a critical function of expertise is the ability to transition from the automatic mode to the more effortful mode when required – a transition referred to as ‘slowing down when you should’. Objectives: To explore the phenomenon of ‘slowing down when you should’ in operative surgical practice and its role in intra-operative surgical judgment, and to develop conceptual models of the factors involved in the display of this transition in surgical operative practice. Design: In Phase 1A, 28 surgeons were interviewed about their views of surgical judgment in general and their perceptions of the role of this phenomenon in operative judgment. In Phase 1B, a subset of surgeons from Phase 1A was re-interviewed to explore their perceptions of automaticity in operative practice. In Phase 2, observational sessions (and brief interviews) were conducted of surgeons in the operating room to explore the nature of this phenomenon in its natural environment. Results: The surgeons in this study recognized the phenomenon of ‘slowing down’ in their operative practice and acknowledged its link to surgical judgment. Two main initiators were described and observed: proactively planned ‘slowing down’ moments occurring intra-operatively initiated by critical events anticipated pre-operatively and situationally responsive ‘slowing down’ moments initiated by emergent cues intra-operatively. Numerous influences of this transition were uncovered. A control dynamic emerged as surgeon’s negotiated ‘slowing down’ moments through trainees in their supervisory academic practice. Numerous manifestations of this phenomenon were observed in the operating room and considered using a cognitive psychology attention capacity model. Conclusions: This study offers a conceptual framework for understanding the role of ‘slowing down when you should’ in operative surgical practice, providing a vocabulary that will allow more explicit consideration of what contributes to surgical expertise. Consideration of this framework with its consequent ability to make surgical practices more explicit has implications for self-regulation in practice, surgical error, and surgical training.

Context: The study of expertise in medical education has tended to follow the traditions of describing either the analytic processes or the non-analytic resources that experts acquire with experience. We argue that a critical function of expertise is the ability to transition from the automatic mode to the more effortful mode when required – a transition referred to as ‘slowing down when you should’. Objectives: To explore the phenomenon of ‘slowing down when you should’ in operative surgical practice and its role in intra-operative surgical judgment, and to develop conceptual models of the factors involved in the display of this transition in surgical operative practice. Design: In Phase 1A, 28 surgeons were interviewed about their views of surgical judgment in general and their perceptions of the role of this phenomenon in operative judgment. In Phase 1B, a subset of surgeons from Phase 1A was re-interviewed to explore their perceptions of automaticity in operative practice. In Phase 2, observational sessions (and brief interviews) were conducted of surgeons in the operating room to explore the nature of this phenomenon in its natural environment. Results: The surgeons in this study recognized the phenomenon of ‘slowing down’ in their operative practice and acknowledged its link to surgical judgment. Two main initiators were described and observed: proactively planned ‘slowing down’ moments occurring intra-operatively initiated by critical events anticipated pre-operatively and situationally responsive ‘slowing down’ moments initiated by emergent cues intra-operatively. Numerous influences of this transition were uncovered. A control dynamic emerged as surgeon’s negotiated ‘slowing down’ moments through trainees in their supervisory academic practice. Numerous manifestations of this phenomenon were observed in the operating room and considered using a cognitive psychology attention capacity model. Conclusions: This study offers a conceptual framework for understanding the role of ‘slowing down when you should’ in operative surgical practice, providing a vocabulary that will allow more explicit consideration of what contributes to surgical expertise. Consideration of this framework with its consequent ability to make surgical practices more explicit has implications for self-regulation in practice, surgical error, and surgical training.

The motivation for this research is to leverage the increasing deployment of the phasor measurement unit (PMU) technology by electric utilities in order to improve situational awareness in power systems. PMUs provide unprecedentedly fast and synchronized voltage and current measurements across the system. Analyzing the big data provided by PMUs may prove helpful in reducing the risk of blackouts, such as the Northeast blackout in August 2003, which have resulted in huge costs in past decades. In order to provide deeper insight into early warning signs (EWS) of catastrophic events in power systems, this dissertation studies changes in statistical properties of high-resolution measurements as a power system approaches a critical transition. The EWS under study are increases in variance and autocorrelation of state variables, which are generic signs of a phenomenon known as critical slowing down (CSD). Critical slowing down is the result of slower recovery of a dynamical system from perturbations when the system approaches a critical transition. CSD has been observed in many stochastic nonlinear dynamical systems such as ecosystem, human body and power system. Although CSD signs can be useful as indicators of proximity to critical transitions, their characteristics vary for different systems and different variables within a system. The dissertation provides evidence for the occurrence of CSD in power systems using a comprehensive analytical and numerical study of this phenomenon in several power system test cases. Together, the results show that it is possible extract information regarding not only the proximity of a power system to critical transitions but also the location of the stress in the system from autocorrelation and variance of measurements. Also, a semi-analytical method for fast computation of expected variance and autocorrelation of state variables in large power systems is presented, which allows one to quickly identify locations and variables that are reliable indicators of proximity to instability.

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Snap-through is a striking instability in which an elastic object rapidly jumps from one state to another. It is seen in the leaves of the Venus flytrap plant and umbrellas flipping on a windy day among many other examples. Similar structures that snap-through are used to generate fast motions in soft robotics, switches in micro-scale electronics and artificial heart valves. Despite the ubiquity of snap-through in nature and engineering, its dynamics is usually only understood qualitatively. In this thesis we develop analytical understanding of this dynamics, focussing on how the mathematical structure underlying the snap-through transition controls the timescale of instability. We begin by considering the dynamics of 'pull-in' instabilities in microelectromechanical systems (MEMS) - a type of snap-through caused by electrostatic forces in which the motions are dominated by fluid damping. Using a lumped-parameter model, we show that the observed time delay near the pull-in transition is a type of critical slowing down - a so-called 'bottleneck' due to the 'ghost' of a saddle-node bifurcation. We obtain a scaling law describing this slowing down, and, in the process, unify a large range of experiments and simulations that exhibit delay phenomena during pull-in. We also investigate the pull-in dynamics of MEMS microbeams, extending the lumped-parameter approach to incorporate the details of the beam geometry. This provides a model system in which to understand snap-through of a continuous elastic structure due to external loading. We develop a perturbation method that systematically exploits the proximity to pull-in to reduce the governing equations to a simpler evolution equation, with a structure that highlights the saddle-node bifurcation. This allows us to analyse the bottleneck dynamics in detail, which we compare with previous experimental and numerical data. The remainder of the thesis is concerned with the dynamics of snap-through in macroscopic systems. In particular, we explore the extent to which dissipation is required to explain anomalously slow snap-through. Considering an elastic arch as an archetype of a snapping system, we use the perturbation method developed earlier to show that two bottleneck regimes are possible, depending delicately on the relative importance of external damping. In particular, we show that critical slowing down occurs even in the absence of damping, leading to a new scaling law for the snap-through time that is confirmed by elastica simulations and experiments. In many real systems material viscoelasticity is present to some degree. Finally, we examine how this influences the snap-through dynamics of a simple truss-like structure. We present a regime diagram that characterises when the timescale of snap-through is controlled by viscous, elastic or viscoelastic effects.

Les glaces de spin, comme Dy2Ti2O7 et Ho2Ti2O7, sont des matériaux présentant un magnétisme particulièrement exotique. Ils constituent les premiers composés cristallins ferromagnétiques frustrés à avoir été découverts. Cette frustration permet la fractionnalisation des degrés de liberté de spin et l’émergence de monopôles magné-tiques, dont la physique est formalisée par le modèle des haltères.Dans cette thèse, nous étudions dans un premier temps le diagramme de phase de ce modèle grâce à un parallèle avec le modèle de Blume-Capel S = 2. On identifie dans ce diagramme la phase fragmentée observée expérimentalement dans Ho2Ir2O7,et on localise le point critique de la transition entre la phase glace de spin et la phase fragmentée.Dans un second temps, on montre numériquement que la dynamique du système autour de ce point critique appartient à la classe d’universalité du modèle d’Ising 3D. On utilise pour cela deux outils : les lois d’échelle de Kibble-Zurek et le rapport de fluctuation-dissipation. L’obtention de ce dernier a nécessité l’introduction d’une méthode novatrice pour le calcul des fonctions de réponse. Nous soulignons également que ces outils sont spécifiquement intéressants dans le cas des glaces de spin où les temps microscopiques sont de l’ordre de 1 μs, rendant le ralentissement critique observable expérimentalement.Dans un troisième temps, nous employons à nouveau la violation du théorème de fluctuation-dissipation pour caractériser un régime fortement hors équilibre de la phase glace de spin, où les degrés de liberté sont cinétiquement bloqués du fait de l’attraction coulombienne entre les monopôles. / Spin ices, such as Dy2Ti2O7 and Ho2Ti2O7, are materials exhibiting exotic magnetic properties. They were the first frustrated ferromagnetic crystalline compounds to be discovered. The frustration leads to the fractionnalisation of the spin degrees of freedom and the emergence of magnetic monopoles, whose physics is formalised in the dumbbell model. In this thesis, we study the full phase diagram of this model in analogy with theS=2 Blume-Capel model. We identify in this diagram the fragmented phase observed experimentally in Ho2Ir2O7, and we localise the critical point of the transition between the spin ice phase and the fragmented phase.In a second part, we show numerically that the dynamics of this system at thecritical point belongs to the 3D Ising university class. We use for this two tools :the Kibble-Zurek scaling law and the fluctuation-dissipation ratio. For the latter, ithas been necessary to introduce a novel method to measure response functions. Wealso emphasize that these tools are specifically interesting for spin ice materials, as the unusually long microscopic time scale (1 μs) should make it possible to experimentallyobserve out-of-equilibrium phenomena related to critical slowing down.In a third part, we use the violation of the fluctuation-dissipation theorem to characterise a strongly out-of-equilibrium regime of spin ice - a thermal quench from high to low temperature, where degrees of freedom are kinetically blocked because ofthe Coulombic attraction between the monopoles.

Since food is such a vital part of life and an instinct that none of us can live without, I wanted to combine food with the fun of experiencing new recipes, connecting other cultures via cuisine, empowering individuals to start their own businesses, and easing the lives of people with daily responsibilities and obligations such as workers, students and families. “Tomatoes and oregano make it Italian; wine and tarragon make it French. Sour cream makes it Russian; lemon and cinnamon make it Greek. Soy sauce makes it Chinese; garlic makes it good.” Alice May Brock (of Alice’s Restaurant fame 1977). The complex, delectable food that we used to eat at our parents' house are not available at most places. However, by designing a system that connects brilliant chefs at their homes from many different cultures with customers who want such a service on busy days, they may use it in days or weeks filled with various activities and responsibilities and who want to experience different cuisines from other cultures throughout the world, they may find themselves craving the food they ate as a child. Even while attachment style develops throughout childhood, it has an impact on people's social attachments, interpersonal relationships, and emotion management well into adulthood (Gillath, Karantzas & Fraley, 2016).

In this thesis, an effect of a tyre defect on the driving dynamics of a vehicle is dealt with. The first part of the thesis is mainly concerned with the vehicle dynamics, road resistance, adhesion, orientation characteristics of the tyres and slowing down. This chapter is followed by an overview of the manufacturing process and construction of modern passenger car tyres. The practical part is focused on driving tests that are used to demonstrate the influence of tyre defects on handling characteristics of the vehicle. The main focus of this thesis is on directional variation, braking distance, deceleration and lateral acceleration. The very end of the thesis concentrates on tyre defect in higher speeds and its after-effects as well as precautions for mitigation of these after-effects.