Tutorial on Congestion Control in Multi-Area Transmission Grids via Online Feedback Equilibrium Seeking

Online feedback optimization (OFO) is an emerging control methodology for real-time optimal steady-state control of complex dynamical systems. This tutorial focuses on the application of OFO for the autonomous operation of large-scale transmission grids, with a specific goal of minimizing renewable generation curtailment and losses while satisfying voltage and current limits. When this control methodology is applied to multi-area transmission grids, where each area independently manages its congestion while being dynamically interconnected with the rest of the grid, a non-cooperative game arises. In this context, OFO must be interpreted as an online feedback equilibrium seeking (FES) scheme. Our analysis incorporates technical tools from game theory and monotone operator theory to evaluate the stability and performance of multi-area grid operation. Through numerical simulations, we illustrate the key challenge of this non-cooperative setting: on the one hand, independent multi-area decisions are suboptimal compared to a centralized control scheme; on the other hand, some areas are heavily penalized by the centralized decision, which may discourage participation in the coordination mechanism

Mergers, Foreign Competition, and Jobs: Evidence from the U.S. Appliance Industry

Policy choices often entail trade-offs between workers and consumers. I assess how foreign competition changes the consumer welfare and domestic employment effects of a merger. I construct a model accounting for demand responses, endogenous product portfolios, and employment. I apply this model to the acquisition of Maytag by Whirlpool in the household appliance industry. I compare the observed acquisition to one with a foreign buyer. While a Whirlpool acquisition decreased consumer welfare by $250 million, it led to 1,300 fewer domestic jobs lost. Jobs need to be worth above$220,000 annually for domestic employment effects to offset consumer harm

Predicting climate tipping as a noisy bifurcation: A review

Copyright © 2011 World Scientific PublishingElectronic version of an article published in International Journal of Bifurcation and Chaos, Vol. 21 (2), pp. 399 – 423. DOI: 10.1142/S0218127411028519. Copyright © World Scientific Publishing Company. www.worldscientific.com/worldscinet/ijbcThere is currently much interest in examining climatic tipping points, to see if it is feasible to predict them in advance. Using techniques from bifurcation theory, recent work looks for a slowing down of the intrinsic transient responses, which is predicted to occur before an instability is encountered. This is done, for example, by determining the short-term autocorrelation coefficient ARC(1) in a sliding window of the time-series: this stability coefficient should increase to unity at tipping. Such studies have been made both on climatic computer models and on real paleoclimate data preceding ancient tipping events. The latter employ reconstituted time-series provided by ice cores, sediments, etc., and seek to establish whether the actual tipping could have been accurately predicted in advance. One such example is the end of the Younger Dryas event, about 11 500 years ago, when the Arctic warmed by 7°C in 50 yrs. A second gives an excellent prediction for the end of "greenhouse" Earth about 34 million years ago when the climate tipped from a tropical state into an icehouse state, using data from tropical Pacific sediment cores. This prediction science is very young, but some encouraging results are already being obtained. Future analyses will clearly need to embrace both real data from improved monitoring instruments, and simulation data generated from increasingly sophisticated predictive models

Advanced Design Concepts and Efficient Finite Element Modeling for Dielectric Elastomer Devices

Dielectric elastomers (DEs) offer their use in numerous applications, due to their advantages compared to conventional actuators and sensors. They excel in properties such as lightweight, energy efficiency, low-noise and inherent compliance, just to name a few. In particular, actuator and sensor systems based on membrane DEs show their potential in many fields, from the automotive industry to consumer electronics. Defined procedures which permit an efficient design process are required in order to allow the development of novel DE devices. Additionally, numerical methods for the optimization of such processes are of interest. The first part of this dissertation provides advanced design methods for actuator and sensor applications. For DE actuators, systems biased with permanent magnets are investigated and design rules are derived in order to maximize the stroke for a given load case. For DE sensors, the field of high pressure measurements is developed, introducing concepts for intrusive and nonintrusive sensor systems. In the second part of this dissertation, numerical methods for membrane DE actuators based on the Finite Element method are derived. The main focus is fast computation time and numerical efficiency. Two approaches are presented, one based on a two-dimensional continuum formulation and one based on a three-dimensional membrane formulation. The resulting models allow the investigation of local field distributions, such as stresses, thickness and electric field.Dielektrische Elastomere (DE) bieten sich durch ihre Vorteile gegenüber herkömmlichen Aktoren und Sensoren für viele Anwendungen an. Sie zeichnen sich aus durch geringes Gewicht, hohe Energieeffizienz, geräuschlosen Betrieb und inhärente Dehnbarkeit. Um die Entwicklung neuer DE Anwendungen voranzutreiben, werden effiziente Auslegungsprozesse benötigt. Zusätzlich sind numerische Methoden zur Optimierung solcher Prozesse von Interesse. Der erste Teil dieser Dissertation entwickelt fortgeschrittene Entwicklungsmethoden für Aktorund Sensorsysteme. Für DE Aktoren werden Systeme mit Permanentmagneten als Vorspannmechanismus untersucht und eine Prozedur zur Maximierung des Aktorhubs für eine vorgegebene Last hergeleitet. Für DE Sensoren wird das Feld der Hochdruckmessung erschlossen, indem Konzepte für intrusive und nicht-intrusive Druckmessungen entwickelt werden. Der zweite Teil dieser Dissertation leitet numerische Modelle für die Simulation von DE Aktoren basierend auf der Finite Elemente Methode her. Der Hauptfokus liegt hierbei auf schnellen Rechenzeiten und numerischer Effizienz. Der erste diskutierte Ansatz basiert auf einer zweidimensionalen Kontinuumsformulierung, während der zweite Ansatz auf einer dreidimensionalen Membranformulierung basiert. Die resultierenden Modelle erlauben die Untersuchung lokaler Feldverteilungen, beispielsweise der mechanischen Spannung, der Dickenänderung und dem elektrischen Feld

Information-Theoretic Control of Multiple Sensor Platforms

This thesis is concerned with the development of a consistent, information-theoretic basis for understanding of coordination and cooperation decentralised multi-sensor multi-platform systems. Autonomous systems composed of multiple sensors and multiple platforms potentially have significant importance in applications such as defence, search and rescue mining or intelligent manufacturing. However, the effective use of multiple autonomous systems requires that an understanding be developed of the mechanisms of coordination and cooperation between component systems in pursuit of a common goal. A fundamental, quantitative, understanding of coordination and cooperation between decentralised autonomous systems is the main goal of this thesis. This thesis focuses on the problem of coordination and cooperation for teams of autonomous systems engaged in information gathering and data fusion tasks. While this is a subset of the general cooperative autonomous systems problem, it still encompasses a range of possible applications in picture compilation, navigation, searching and map building problems. The great advantage of restricting the domain of interest in this way is that an underlying mathematical model for coordination and cooperation can be based on the use of information-theoretic models of platform and sensor abilities. The information theoretic approach builds on the established principles and architecture previously developed for decentralised data fusion systems. In the decentralised control problem addressed in this thesis, each platform and sensor system is considered to be a distinct decision maker with an individual information-theoretic utility measure capturing both local objectives and the inter-dependencies among the decisions made by other members of the team. Together these information-theoretic utilities constitute the team objective. The key contributions of this thesis lie in the quantification and study of cooperative control between sensors and platforms using information as a common utility measure. In particular, * The problem of information gathering is formulated as an optimal control problem by identifying formal measures of information with utility or pay-off. * An information-theoretic utility model of coupling and coordination between decentralised decision makers is elucidated. This is used to describe how the information gathering strategies of a team of autonomous systems are coupled. * Static and dynamic information structures for team members are defined. It is shown that the use of static information structures can lead to efficient, although sub-optimal, decentralised control strategies for the team. * Significant examples in decentralised control of a team of sensors are developed. These include the multi-vehicle multi-target bearings-only tracking problem, and the area coverage or exploration problem for multiple vehicles. These examples demonstrate the range of non-trivial problems to which the theory in this thesis can be employed

Simulating coronal condensation dynamics in 3D

We present numerical simulations in 3D settings where coronal rain phenomena take place in a magnetic configuration of a quadrupolar arcade system. Our simulation is a magnetohydrodynamic simulation including anisotropic thermal conduction, optically thin radiative losses, and parametrised heating as main thermodynamical features to construct a realistic arcade configuration from chromospheric to coronal heights. The plasma evaporation from chromospheric and transition region heights eventually causes localised runaway condensation events and we witness the formation of plasma blobs due to thermal instability, that evolve dynamically in the heated arcade part and move gradually downwards due to interchange type dynamics. Unlike earlier 2.5D simulations, in this case there is no large scale prominence formation observed, but a continuous coronal rain develops which shows clear indications of Rayleigh-Taylor or interchange instability, that causes the denser plasma located above the transition region to fall down, as the system moves towards a more stable state. Linear stability analysis is used in the non-linear regime for gaining insight and giving a prediction of the system's evolution. After the plasma blobs descend through interchange, they follow the magnetic field topology more closely in the lower coronal regions, where they are guided by the magnetic dips.Comment: 47 pages, 59 figure

Information-Theoretic Control of Multiple Sensor Platforms

This thesis is concerned with the development of a consistent, information-theoretic basis for understanding of coordination and cooperation decentralised multi-sensor multi-platform systems. Autonomous systems composed of multiple sensors and multiple platforms potentially have significant importance in applications such as defence, search and rescue mining or intelligent manufacturing. However, the effective use of multiple autonomous systems requires that an understanding be developed of the mechanisms of coordination and cooperation between component systems in pursuit of a common goal. A fundamental, quantitative, understanding of coordination and cooperation between decentralised autonomous systems is the main goal of this thesis. This thesis focuses on the problem of coordination and cooperation for teams of autonomous systems engaged in information gathering and data fusion tasks. While this is a subset of the general cooperative autonomous systems problem, it still encompasses a range of possible applications in picture compilation, navigation, searching and map building problems. The great advantage of restricting the domain of interest in this way is that an underlying mathematical model for coordination and cooperation can be based on the use of information-theoretic models of platform and sensor abilities. The information theoretic approach builds on the established principles and architecture previously developed for decentralised data fusion systems. In the decentralised control problem addressed in this thesis, each platform and sensor system is considered to be a distinct decision maker with an individual information-theoretic utility measure capturing both local objectives and the inter-dependencies among the decisions made by other members of the team. Together these information-theoretic utilities constitute the team objective. The key contributions of this thesis lie in the quantification and study of cooperative control between sensors and platforms using information as a common utility measure. In particular, * The problem of information gathering is formulated as an optimal control problem by identifying formal measures of information with utility or pay-off. * An information-theoretic utility model of coupling and coordination between decentralised decision makers is elucidated. This is used to describe how the information gathering strategies of a team of autonomous systems are coupled. * Static and dynamic information structures for team members are defined. It is shown that the use of static information structures can lead to efficient, although sub-optimal, decentralised control strategies for the team. * Significant examples in decentralised control of a team of sensors are developed. These include the multi-vehicle multi-target bearings-only tracking problem, and the area coverage or exploration problem for multiple vehicles. These examples demonstrate the range of non-trivial problems to which the theory in this thesis can be employed

The dynamic equilibrium of human telomeric G-quadruplexes.

G-quadruplexes are thought to have biological importance, with studies based on small molecule interactions and quadruplex-interactive antibodies demonstrating their potential for formation in vivo. One potential biological function of quadruplex structures is the regulation and maintenance of telomeres. Telomeres are nucleoprotein complexes involved in chromosome stability. Human telomeres are composed of the repeated DNA sequence, 5\u27- d(TIAGGG), that terminates in a 3\u27 single-stranded overhang. DNA sequences with homology to the human telomere are capable of quadruplex formation in vitro. Specifically, sequences containing four-guanine stretches (e.g. 5\u27-d(AGGG(TIAGGGb)) are capable of forming at least five distinct unimolecular structures. Which structure is favored is believed to be linked to solvent composition and the addition of 3\u27- and 5\u27-flanking residues. This dissertation provides an essential biophysical investigation of the polymorphic equilibrium displayed by human telomeric quadruplexes. Multiple biophysical techniques are utilized to assemble a thermodynamic description of the influences of hydration and molecular crowding on conformational selection and elucidate complex unfolding mechanisms with unique intermediate states. This dissertation provides the first application of phasor diagrams in the study of quadruplexes. Phasor diagrams are shown to be sensitive to alterations in quadruplex structure (i.e. folding and unfolding) by monitoring changes in the complex lifetime distribution of 2-aminopurine. This dissertation contains the first multi-faceted biophysical investigation of the underlying mechanism of co-solvent driven conformational changes of human telomeric quadruplexes. The thermodynamic study illustrates that quadruplexes are stabilized by dehydration, a behavior opposite that of canonical duplex structures. Additionally, the ability of PEGs to drive the conformational selection of a parallel quadruplex through differential binding is clarified, addressing unsubstantiated claims that the propeller form is the most biologically relevant conformation. Finally, an in-depth thermodynamic investigation of the thermal unfolding of human telomeric quadruplexes is conducted. Multiple spectroscopic techniques are used to evaluate the thermal unfolding process and characterize potential intermediates states. This dissertation work is the first to apply spectroscopic deconvolutions to demonstrate that human telomeric quadruplexes unfold through sequential mechanisms requiring intermediate species. These results are highlighted by the recovery of an intermediate species whose biophysical description is best characterized by an ensemble of triple-helical conformations