Tensor Networks for Dimensionality Reduction and Large-Scale Optimizations. Part 2 Applications and Future Perspectives

Part 2 of this monograph builds on the introduction to tensor networks and their operations presented in Part 1. It focuses on tensor network models for super-compressed higher-order representation of data/parameters and related cost functions, while providing an outline of their applications in machine learning and data analytics. A particular emphasis is on the tensor train (TT) and Hierarchical Tucker (HT) decompositions, and their physically meaningful interpretations which reflect the scalability of the tensor network approach. Through a graphical approach, we also elucidate how, by virtue of the underlying low-rank tensor approximations and sophisticated contractions of core tensors, tensor networks have the ability to perform distributed computations on otherwise prohibitively large volumes of data/parameters, thereby alleviating or even eliminating the curse of dimensionality. The usefulness of this concept is illustrated over a number of applied areas, including generalized regression and classification (support tensor machines, canonical correlation analysis, higher order partial least squares), generalized eigenvalue decomposition, Riemannian optimization, and in the optimization of deep neural networks. Part 1 and Part 2 of this work can be used either as stand-alone separate texts, or indeed as a conjoint comprehensive review of the exciting field of low-rank tensor networks and tensor decompositions.Comment: 232 page

Tensor Networks for Dimensionality Reduction and Large-Scale Optimizations. Part 2 Applications and Future Perspectives

Part 2 of this monograph builds on the introduction to tensor networks and their operations presented in Part 1. It focuses on tensor network models for super-compressed higher-order representation of data/parameters and related cost functions, while providing an outline of their applications in machine learning and data analytics. A particular emphasis is on the tensor train (TT) and Hierarchical Tucker (HT) decompositions, and their physically meaningful interpretations which reflect the scalability of the tensor network approach. Through a graphical approach, we also elucidate how, by virtue of the underlying low-rank tensor approximations and sophisticated contractions of core tensors, tensor networks have the ability to perform distributed computations on otherwise prohibitively large volumes of data/parameters, thereby alleviating or even eliminating the curse of dimensionality. The usefulness of this concept is illustrated over a number of applied areas, including generalized regression and classification (support tensor machines, canonical correlation analysis, higher order partial least squares), generalized eigenvalue decomposition, Riemannian optimization, and in the optimization of deep neural networks. Part 1 and Part 2 of this work can be used either as stand-alone separate texts, or indeed as a conjoint comprehensive review of the exciting field of low-rank tensor networks and tensor decompositions.Comment: 232 page

Evaluation of modern control system design techniques for a multivariable electro-hydraulic system.

An experimental apparatus has been developed with the object of providing a test plant, based on commercially available electro-hydraulic components, for the investigation of multivariable control system design methodologies. A mathematical model has been produced for this experimental plant and a preliminary analysis of the plant carried out.A selection of controller design techniques has been investigated. Designs have been produced for two state feedback controllers in which the feedback coefficients were based on LQR theory, one of which used a full order estimator based on a Kalman Filter, the other using a reduced order observer whose poles were chosen arbitrarily. In addition, forward path compensators have been developed using the Characteristic Locus and the Hinfinity/Mixed Sensitivity methods. These controller designs were based on computations and simulations utilising Matlab and a selection of its control engineering toolboxes and Simulink. The completed designs were implemented in digital form and tested on the actual plant.A series of tests were carried out to assess the robustness of the various controllers in the presence of plant uncertainty. The physical plant was modified and the controllers based on the nominal plant model used in conjunction with this modified plant. As a design technique which enabled robustness issues to be addressed explicitly, the Hinfinity approach was used to improve the robustness of the original Hinfinity controller

Recent Advances in Robust Control

Robust control has been a topic of active research in the last three decades culminating in H_2/H_\infty and \mu design methods followed by research on parametric robustness, initially motivated by Kharitonov's theorem, the extension to non-linear time delay systems, and other more recent methods. The two volumes of Recent Advances in Robust Control give a selective overview of recent theoretical developments and present selected application examples. The volumes comprise 39 contributions covering various theoretical aspects as well as different application areas. The first volume covers selected problems in the theory of robust control and its application to robotic and electromechanical systems. The second volume is dedicated to special topics in robust control and problem specific solutions. Recent Advances in Robust Control will be a valuable reference for those interested in the recent theoretical advances and for researchers working in the broad field of robotics and mechatronics

Grid Forming Wind Power Plants: Black start operation for HVAC grids and Diode Rectifier-based Wind Power Plant integration

Tesis por compendio[ES] La Unión Europea plantea una serie de retos en el GREEN DEAL para conseguir un escenario donde sus miembros sean climáticamente neutros en 2050. Para ello se plantean unas acciones entre las que destaca la descarbonización del sector de la energía. Por otra parte, se ha puesto como objetivo conseguir una capacidad de energía eólica de 1200 GW en 2050, desde los 190 GW que se tenía en 2019. El cierre de centrales eléctricas basadas en grandes generadores síncronos junto con el aumento en la construcción de centrales eléctricas con fuentes basadas en electrónica de potencia como parques eólicos o plantas fotovoltaicas, hace necesario la incorporación de controladores grid forming en energías renovables basadas en electrónica de potencia. La integración de estrategias de control grid forming en turbinas eólicas debe considerar las funciones de reparto de potencia activa y reactiva (control droop en generadores síncronos), así como un sistema de protección ante faltas que permita una recuperación rápida cuando se despeja la falta. Por otra parte, en la transición de los actuales parques eólicos grid following que funcionan como fuentes de corriente a parques eólicos grid forming que funcionan como fuentes de tensión se debe considerar que ambas tecnologías van a coexistir conjuntamente por mucho tiempo. Por tanto, se hace necesario el estudio de estabilidad de parques eólicos con ambas tecnologías, así como el estudio de cuanta generación grid forming es necesaria para mantener el parque eólico estable en cualquier situación. Además, el uso de parques eólicos grid foming permite diferentes aplicaciones como la energización de redes eléctricas después de un apagón desde estos parques eólicos, o el uso de diodos rectificadores en enlaces HVDC para la conexión de parques eólicos marinos. Para facilitar el estudio y diseño de aerogeneradores grid forming, en la presente tesis se propone una técnica de agregación de aerogeneradores tipo-4. Esta técnica permite reducir la complejidad del parque eólico para su estudio y análisis. Esta tesis incluye las siguientes contribuciones: Para el funcionamiento de aerogeneradores grid forming en paralelo con aerogeneradores grid following se propone un método de diseño analizando la estabilidad del sistema completo. Además, se propone una estrategia de control ante faltas para asegurar una recuperación rápida y segura. Se propone el uso de técnicas de control H∞ para la sintonización de controladores grid forming. El uso de estas técnicas para el diseño de controladores puede mejorar la robustez de los controladores, así como el rendimiento de estos. Considerando la aplicación de la energización de redes HVAC desde parques eólicos, se ha propuesto como llevar a cabo dicha maniobra a partir de parque con aerogeneradores grid forming y grid following. Los resultados obtenidos validan el funcionamiento de la operación. Además, muestran que la cantidad de generación grid forming está relacionada con la dimensión de cargas que tienen que aguantar dichas turbinas más que con la estabilidad del sistema con un porcentaje bajo de generación grid forming. Finalmente, se han propuesto estrategias de protección para la integración de parque eólicos en redes malladas HVDC utilizando rectificadores de diodos. Los parques eólicos grid forming pueden ayudar a gestionar faltas disminuyendo los requisitos en las protecciones necesarias en el enlace HVDC. Esto permite una reducción del coste de la instalación, además de aumentar la robustez del sistema.[CA] La Unió Europea planteja uns reptes al GREEN DEAL per a aconseguir un escenario on els seus membres siguen climàticament neutrals al 2050. Per a aconseguir aquest objectiu es plantegen unes accions entre les quals destaca la de descarbonitzar el sector energètic. D'altra banda, s'ha posat com a objectiu aconseguir una capacitat d'energia eòlica de 1200 GW al 2050, des dels 190 GW que es tenia al 2019. El tancament de centrals elèctriques basades en grans generadors síncrons juntament amb l'augment en la construcció de centrals elèctriques basades en electrónica de potència com a parcs eòlics o plantes fotovoltaiques, fa necessari la incorporació de controladors grid forming en energies renovables que es basan en electrònica de potència. La integració d'estratègies de control grid forming per a turbines eòliques ha de considerar les funcions de repartiment de potència activa i reactiva, així com un sistema de protecció davant faltes que permeta una recuperació ràpida quan s'aïlla la falta. D'altra banda, en la transició dels actuals parcs eòlics grid following que funcionen com a fonts de corrent a parcs eòlics grid forming que funcionen com a fonts de tensió, s'ha de considerar que totes dues tecnologies coexistiran conjuntament per molt de temps. Per tant, es fa necessari l'estudi d'estabilitat d'un parc eòlic amb totes dues tecnologies, així com l'estudi del percentatge de generació grid forming necessari per a mantindre el parc eòlic estable en qualsevol situació. A més, l'ús de parcs eòlics grid foming permet diferents aplicacions com l'energització de xarxes elèctriques després d'una apagada des d'aquests parcs eòlics, o l'ús de díodes rectificadors en enllaços HVDC per a la connexió de parcs eòlics marins. Per a facilitar l'estudi i disseny d'aerogeneradors grid forming, en la present tesi es proposa una tècnica d'agregació d'aerogeneradors tipus-4. Aquesta técnica permet reduir la complexitat del parc eòlic per al seu estudi i anàlisi. La present tesi inclou les següents contribucions: Per al funcionament d'aerogeneradors grid forming en paral¿lel amb aerogeneradors grid following es proposa un mètode de disseny analitzant l'estabilitat del sistema complet. A més, es proposa una estratègia de control davant faltes per a assegurar una recuperació ràpida i segura. Es proposa l'ús de tècniques de control H∞ per a la sintonització de controladors grid forming. L'ús d'aquestes tècniques per al disseny de controladors pot millorar la robustesa dels controladors, a mé del rendiment d'aquestos. Considerant l'aplicació de l'energització de xarxes HVAC des de parcs eòlics, s'ha proposat com dur a terme aquesta maniobra a partir d'un parc eòlic amb aerogeneradors grid forming i grid following. Els resultats obtinguts validen el funcionament de l'operació. A més, mostren que la quantitat de generació grid forming està més relacionada amb la dimensió de les càrregues que ha d'aguantar el parc eòlic, que amb l'estabilitat del sistema que permet un menr percentatge de generació grid forming. Finalment, s'han proposat estratègies de protecció per a la integració de parcs eòlics marins en xarxes multi-punt HVDC utilitzant rectificadors de díodes. Els parcs eòlics grid forming poden ajudar a gestionar faltes disminuint els requisits de les proteccions necessàries en l'enllaç HVDC. Això permet una reducció del cost de la instal¿lació, a més d'augmentar la robustesa del sistema.[EN] The European Union GREEN DEAL aims to make its 27 members climate-neutral by 2050. The decarbonization of the energy sector stands out as one of the proposed actions. To achieve that goal, the target for wind power generation is set at 1,200 GW in 2050, from the 190 GW that was had in 2019. The closure of power plants based on large synchronous generators and the increase of power electronics based generation such as Wind Power Plants (WPPs) or photovoltaic plants, leads to the use of grid forming controllers for power electronics based renewable energy. Grid forming control strategies for wind turbines generators (WTGs) must consider active and reactive power sharing control (droop control in synchronous generators) as well as a protection system that allows a quick recovery after fault clearance. Moreover, a transition from the conventional grid following WPPs to new grid forming WPPs is required. The transition must consider the parallel operation of both technologies for a long time. Thus, it is necessary to study the stability of Wind Power Plants with both technologies, as well as the study of how much grid forming generation is required to keep a mixed grid forming and grid following WPP stable in any situation. In addition, the use of grid forming WPPs allows different applications such as the energization of HVAC and HVDC grids after a blackout from these WPPs, or the use of diode rectifiers in HVDC links for the off-shore WPPs connection. An aggregation technique for type-4 WTGs has been proposed in this thesis in order to facilitate the study and design of grid forming WPPs. The aggregation technique allows to reduce the WPP complexity for its study and analysis. The main contributions of this theses are: A design methodology has been proposed for the parallel operation of grid forming and grid following WTGs. Including the stability analysis of the complete system. Additionally, a fault control strategy is proposed to ensure a fast and safe recovery. The use of H∞ control techniques is also proposed for grid forming controller tuning. Using H∞ control techniques for controller design may improve the robustness of the controllers as well as the performance of the controllers. A procedure to carry out black start operation of HVAC grid from mixed grid forming and grid following WPPs has been proposed. The obtained results validate that the procedure works as expected. Moreover, the results show that the amount of grid-forming generation usually is determined by the load size steps as stability limits are usually less stringent. Finally, protection strategies have been proposed for the integration of off-shore WWPs in multi-terminal HVDC grids using diode rectifiers. Grid forming WPPs are able to help managing faults. Their use allow lower requirements of the HVDC protection equipment, leading to overall cost reduction and an increment of the system robustness.Martínez Turégano, J. (2022). Grid Forming Wind Power Plants: Black start operation for HVAC grids and Diode Rectifier-based Wind Power Plant integration [Tesis doctoral]. Universitat Politècnica de València. https://doi.org/10.4995/Thesis/10251/181529TESISCompendi

Structure-Preserving Model Reduction of Physical Network Systems

This paper considers physical network systems where the energy storage is naturally associated to the nodes of the graph, while the edges of the graph correspond to static couplings. The first sections deal with the linear case, covering examples such as mass-damper and hydraulic systems, which have a structure that is similar to symmetric consensus dynamics. The last section is concerned with a specific class of nonlinear physical network systems; namely detailed-balanced chemical reaction networks governed by mass action kinetics. In both cases, linear and nonlinear, the structure of the dynamics is similar, and is based on a weighted Laplacian matrix, together with an energy function capturing the energy storage at the nodes. We discuss two methods for structure-preserving model reduction. The first one is clustering; aggregating the nodes of the underlying graph to obtain a reduced graph. The second approach is based on neglecting the energy storage at some of the nodes, and subsequently eliminating those nodes (called Kron reduction).</p

New Approaches in Automation and Robotics

The book New Approaches in Automation and Robotics offers in 22 chapters a collection of recent developments in automation, robotics as well as control theory. It is dedicated to researchers in science and industry, students, and practicing engineers, who wish to update and enhance their knowledge on modern methods and innovative applications. The authors and editor of this book wish to motivate people, especially under-graduate students, to get involved with the interesting field of robotics and mechatronics. We hope that the ideas and concepts presented in this book are useful for your own work and could contribute to problem solving in similar applications as well. It is clear, however, that the wide area of automation and robotics can only be highlighted at several spots but not completely covered by a single book

Systems and control problems in early systems design

This thesis is concerned with the evaluation of properties of early design models, the control structure selection and the representation and properties of composite system models. The work is motivated by the need to introduce a Systems and Control Theory based framework for early design stages of the overall system design of engineering processes, and in particular chemical processes, such as process synthesis and control structure selection. The overall spirit of the work is that engineering design is an evolutionary process, the different stages of which shape the structure of the resulting system models and precondition the potential for design at the next stage. The work identifies a number of key problems in the overall design, which are of a generic, systemic character, and then deals with working out solutions for such problems. The results contribute in the development of a framework for systems integration using as criteria and tools, those provided by Systems and Control Theory. The work aims to provide a control theoretic dimension to the rules and practices currently used in the specific application areas. The thesis contributes in the development of a Systems and Control conceptual and tools framework for integrated design of engineering processes by providing results in the following areas: - Specification of a number of generic problems in the field of integrated design and identification of relevant control theoretic concepts and tools. - Study of Model Orientation for linear implicit state-space models and definition of classes of oriented realisations. - Development of solutions to two problems of Structural Identification for uncertain early process models related to infinite zero structure and McMillan degree. - Development of a generic representation of composite systems that allows the study of transition from the aggregate to composite system properties, as a generalised Control Design and characterisation of some key system properties. -Specification of a framework for integrated Control Structure Selection and development of software for many approaches of the "interaction analysis" indicators. The results contribute in the area of development of the systems and control ideas for the problems of systems integration and early design. The work emphasises the strong links between Modelling, Selection of Control Structures and Control Structural methodologies

Local sound field synthesis

This thesis investigates the physical and perceptual properties of selected methods for (Local) Sound Field Synthesis ((L)SFS). In agreement with numerical sound field simulations, a specifically developed geometric model shows an increase of synthesis accuracy for LSFS compared to conventional SFS approaches. Different (L)SFS approaches are assessed within listening experiments, where LSFS performs at least as good as conventional methods for azimuthal sound source localisation and achieves a significant increase of timbral fidelity for distinct parametrisations.Die Arbeit untersucht die physikalischen und perzeptiven Eigenschaften von ausgewählten Verfahren zur (lokalen) Schallfeldsynthese ((L)SFS). Zusammen mit numerischen Simulationen zeigt ein eigens entwickeltes geometrisches Modell, dass LSFS gegenüber konventioneller SFS zu einer genauere Synthese führt. Die Verfahren werden in Hörversuchen evaluiert, wobei LSFS bei der horizontalen Lokalisierung von Schallquellen eine Genauigkeit erreicht, welche mindestens gleich der von konventionellen Methoden ist. Für bestimmte Parametrierung wird eine signifikant verbesserte klangliche Treue erreicht