Supporting CPS Modeling Through a New Method for Solving Complex Non-holomorphic Equations

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Computational Intelligence Application in Electrical Engineering

The Special Issue "Computational Intelligence Application in Electrical Engineering" deals with the application of computational intelligence techniques in various areas of electrical engineering. The topics of computational intelligence applications in smart power grid optimization, power distribution system protection, and electrical machine design and control optimization are presented in the Special Issue. The co-simulation approach to metaheuristic optimization methods and simulation tools for a power system analysis are also presented. The main computational intelligence techniques, evolutionary optimization, fuzzy inference system, and an artificial neural network are used in the research presented in the Special Issue. The articles published in this issue present the recent trends in computational intelligence applications in the areas of electrical engineering

Optimal operation of active distribution networks

This document presents a generic Optimal Power Flow Formulation (OPF) for operating Active Distribution networks during grid-connected and gridislanded modes. The optimization model is intended to be executed in real-time, considering the effect of droop controls. Hence, fast convergence and global optimum are required to guarantee the grid’s optimal operation during these two operation modes. For this reason, the mixed integer nonlinear programming model is relaxed into a convex optimization model. Several approaches are discussed to evaluate the convergence and computation time performance. The results demonstrate that the Wirtinger linearization presents the best performance; furthermore, the optimization model guarantees a proper and safe operation while minimizing operations costs.Este documento presenta una formulación genérica de flujo de potencia óptimo (OPF) para la operación de redes de distribución activas en modo conectado a la red y en modo aislado. El modelo de optimización está pensado para ser ejecutado en tiempo real, teniendo en cuenta el efecto del droop control (control primario). Por lo tanto, se requiere una convergencia rápida, además el óptimo global es necesario para garantizar el funcionamiento óptimo de la red durante estos dos modos de funcionamiento. Por este motivo, el modelo de programación no lineal entera mixta es convertido en un modelo de optimización convexo. Varias aproximaciones son empleadas para evaluar la convergencia y el tiempo de cómputo. Los resultados demuestran que la linealización de Wirtinger presenta el mejor rendimiento; además, el modelo de optimización garantiza un funcionamiento correcto y seguro al tiempo que minimiza los costes de operación.MaestríaMagíster en Ingeniería EléctricaContents 1 Introduction 10 1.1 Motivation . . . . . . . . . . . . . . . . . . . . . . . . . . . . 10 1.2 State of the art . . . . . . . . . . . . . . . . . . . . . . . . . . 11 1.3 Objectives . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 14 1.3.1 General objective . . . . . . . . . . . . . . . . . . . . . 14 1.4 Contributions . . . . . . . . . . . . . . . . . . . . . . . . . . . 15 1.4.1 List of Publications . . . . . . . . . . . . . . . . . . . 15 1.5 Document organization . . . . . . . . . . . . . . . . . . . . . 17 2 Hierarchical Control in Active Distribution Networks 19 2.1 Level-zero and primary control . . . . . . . . . . . . . . . . . 20 2.1.1 Level-zero control . . . . . . . . . . . . . . . . . . . . . 20 2.1.2 Primary control . . . . . . . . . . . . . . . . . . . . . . 23 2.2 Secondary control . . . . . . . . . . . . . . . . . . . . . . . . . 25 2.3 Tertiary control . . . . . . . . . . . . . . . . . . . . . . . . . . 26 2.4 Operation modes . . . . . . . . . . . . . . . . . . . . . . . . . 27 2.4.1 Grid-connected operation . . . . . . . . . . . . . . . . 28 2.4.2 Grid islanded operation . . . . . . . . . . . . . . . . . 28 3 Optimal Operation in Active Distribution Networks 30 3.1 Model of the grid . . . . . . . . . . . . . . . . . . . . . . . . . 30 4 3.2 Model of distributed energy resources . . . . . . . . . . . . . 33 3.2.1 Distributed generators . . . . . . . . . . . . . . . . . . 33 3.2.2 Model of solar panels . . . . . . . . . . . . . . . . . . . 34 3.2.3 Model of wind turbines . . . . . . . . . . . . . . . . . 34 3.2.4 Model of energy storage systems . . . . . . . . . . . . 35 3.3 Technical constraints . . . . . . . . . . . . . . . . . . . . . . . 36 3.4 Balanced case (single-phase equivalent) . . . . . . . . . . . . . 37 3.5 Three-phase case . . . . . . . . . . . . . . . . . . . . . . . . . 39 4 Convex approximations 42 4.1 Second-order cone approximation . . . . . . . . . . . . . . . . 42 4.2 Sequential convex optimization . . . . . . . . . . . . . . . . . 44 4.3 Wirtinger calculus . . . . . . . . . . . . . . . . . . . . . . . . 45 4.4 Effect of the frequency . . . . . . . . . . . . . . . . . . . . . . 48 5 Results 50 5.1 Methodological framework . . . . . . . . . . . . . . . . . . . . 50 5.2 Variation of the Ybus as function of the frequency . . . . . . . 51 5.3 Single phase case . . . . . . . . . . . . . . . . . . . . . . . . . 56 5.3.1 Connected mode . . . . . . . . . . . . . . . . . . . . . 57 5.3.2 Islanded mode . . . . . . . . . . . . . . . . . . . . . . 57 5.3.3 Generic operation . . . . . . . . . . . . . . . . . . . . 59 5.3.4 Extension to meshed grids . . . . . . . . . . . . . . . . 62 5.4 Three-Phase Case . . . . . . . . . . . . . . . . . . . . . . . . . 64 6 Conclusions, discussion and future work 67 6.1 Future work . . . . . . . . . . . . . . . . . . . . . . . . . . . . 68 6.2 Applicability to the Colombian Case . . . . . . . . . . . . . . 69 Apendices 7

Distributed and Lightweight Meta-heuristic Optimization method for Complex Problems

The world is becoming more prominent and more complex every day. The resources are limited and efficiently use them is one of the most requirement. Finding an Efficient and optimal solution in complex problems needs to practical methods. During the last decades, several optimization approaches have been presented that they can apply to different optimization problems, and they can achieve different performance on various problems. Different parameters can have a significant effect on the results, such as the type of search spaces. Between the main categories of optimization methods (deterministic and stochastic methods), stochastic optimization methods work more efficient on big complex problems than deterministic methods. But in highly complex problems, stochastic optimization methods also have some issues, such as execution time, convergence to local optimum, incompatible with distributed systems, and dependence on the type of search spaces. Therefore this thesis presents a distributed and lightweight metaheuristic optimization method (MICGA) for complex problems focusing on four main tracks. 1) The primary goal is to improve the execution time by MICGA. 2) The proposed method increases the stability and reliability of the results by using the multi-population strategy in the second track. 3) MICGA is compatible with distributed systems. 4) Finally, MICGA is applied to the different type of optimization problems with other kinds of search spaces (continuous, discrete and order based optimization problems). MICGA has been compared with other efficient optimization approaches. The results show the proposed work has been achieved enough improvement on the main issues of the stochastic methods that are mentioned before.Maailmasta on päivä päivältä tulossa yhä monimutkaisempi. Resurssit ovat rajalliset, ja siksi niiden tehokas käyttö on erittäin tärkeää. Tehokkaan ja optimaalisen ratkaisun löytäminen monimutkaisiin ongelmiin vaatii tehokkaita käytännön menetelmiä. Viime vuosikymmenien aikana on ehdotettu useita optimointimenetelmiä, joilla jokaisella on vahvuutensa ja heikkoutensa suorituskyvyn ja tarkkuuden suhteen erityyppisten ongelmien ratkaisemisessa. Parametreilla, kuten hakuavaruuden tyypillä, voi olla merkittävä vaikutus tuloksiin. Optimointimenetelmien pääryhmistä (deterministiset ja stokastiset menetelmät) stokastinen optimointi toimii suurissa monimutkaisissa ongelmissa tehokkaammin kuin deterministinen optimointi. Erittäin monimutkaisissa ongelmissa stokastisilla optimointimenetelmillä on kuitenkin myös joitain ongelmia, kuten korkeat suoritusajat, päätyminen paikallisiin optimipisteisiin, yhteensopimattomuus hajautetun toteutuksen kanssa ja riippuvuus hakuavaruuden tyypistä. Tämä opinnäytetyö esittelee hajautetun ja kevyen metaheuristisen optimointimenetelmän (MICGA) monimutkaisille ongelmille keskittyen neljään päätavoitteeseen: 1) Ensisijaisena tavoitteena on pienentää suoritusaikaa MICGA:n avulla. 2) Lisäksi ehdotettu menetelmä lisää tulosten vakautta ja luotettavuutta käyttämällä monipopulaatiostrategiaa. 3) MICGA tukee hajautettua toteutusta. 4) Lopuksi MICGA-menetelmää sovelletaan erilaisiin optimointiongelmiin, jotka edustavat erityyppisiä hakuavaruuksia (jatkuvat, diskreetit ja järjestykseen perustuvat optimointiongelmat). Työssä MICGA-menetelmää verrataan muihin tehokkaisiin optimointimenetelmiin. Tulokset osoittavat, että ehdotetulla menetelmällä saavutetaan selkeitä parannuksia yllä mainittuihin stokastisten menetelmien pääongelmiin liittyen

Towards Optimal Application Mapping for Energy-Efficient Many-Core Platforms

Siirretty Doriast

Differential equations in automorphic forms and an application to particle physics

University of Minnesota Ph.D. dissertation. May 2019. Major: Mathematics. Advisor: Paul Garrett. 1 computer file (PDF); vi, 92 pages.Physicists such as Green, Vanhove, et al show that differential equations involving automorphic forms govern the behavior of gravitons. One particular point of interest is solutions to $(\Delta-\lambda)u=E_{\alpha} E_{\beta}$ on an arithmetic quotient of the exceptional group $E_8$. We establish that the existence of a solution to $(\Delta-\lambda)u=E_{\alpha}E_{\beta}$ on the simpler space $SL_2(\Z)\backslash SL_2(\R)$ for certain values of $\alpha$ and $\beta$ depends on nontrivial zeros of the Riemann zeta function $\zeta(s)$. Further, when such a solution exists, we use spectral theory to solve $(\Delta-\lambda)u=E_{\alpha}E_{\beta}$ on $SL_2(\Z)\backslash SL_2(\R)$ and provide proof of the meromorphic continuation of the solution. The construction of such a solution uses Arthur truncation, the Maass-Selberg formula, and automorphic Sobolev spaces

Virtual Runtime Application Partitions for Resource Management in Massively Parallel Architectures

This thesis presents a novel design paradigm, called Virtual Runtime Application Partitions (VRAP), to judiciously utilize the on-chip resources. As the dark silicon era approaches, where the power considerations will allow only a fraction chip to be powered on, judicious resource management will become a key consideration in future designs. Most of the works on resource management treat only the physical components (i.e. computation, communication, and memory blocks) as resources and manipulate the component to application mapping to optimize various parameters (e.g. energy efficiency). To further enhance the optimization potential, in addition to the physical resources we propose to manipulate abstract resources (i.e. voltage/frequency operating point, the fault-tolerance strength, the degree of parallelism, and the configuration architecture). The proposed framework (i.e. VRAP) encapsulates methods, algorithms, and hardware blocks to provide each application with the abstract resources tailored to its needs. To test the efficacy of this concept, we have developed three distinct self adaptive environments: (i) Private Operating Environment (POE), (ii) Private Reliability Environment (PRE), and (iii) Private Configuration Environment (PCE) that collectively ensure that each application meets its deadlines using minimal platform resources. In this work several novel architectural enhancements, algorithms and policies are presented to realize the virtual runtime application partitions efficiently. Considering the future design trends, we have chosen Coarse Grained Reconfigurable Architectures (CGRAs) and Network on Chips (NoCs) to test the feasibility of our approach. Specifically, we have chosen Dynamically Reconfigurable Resource Array (DRRA) and McNoC as the representative CGRA and NoC platforms. The proposed techniques are compared and evaluated using a variety of quantitative experiments. Synthesis and simulation results demonstrate VRAP significantly enhances the energy and power efficiency compared to state of the art.Siirretty Doriast

Theoretical Concepts of Quantum Mechanics

Quantum theory as a scientific revolution profoundly influenced human thought about the universe and governed forces of nature. Perhaps the historical development of quantum mechanics mimics the history of human scientific struggles from their beginning. This book, which brought together an international community of invited authors, represents a rich account of foundation, scientific history of quantum mechanics, relativistic quantum mechanics and field theory, and different methods to solve the Schrodinger equation. We wish for this collected volume to become an important reference for students and researchers

Wavelet Theory

The wavelet is a powerful mathematical tool that plays an important role in science and technology. This book looks at some of the most creative and popular applications of wavelets including biomedical signal processing, image processing, communication signal processing, Internet of Things (IoT), acoustical signal processing, financial market data analysis, energy and power management, and COVID-19 pandemic measurements and calculations. The editor’s personal interest is the application of wavelet transform to identify time domain changes on signals and corresponding frequency components and in improving power amplifier behavior

International Conference on Mathematical Analysis and Applications in Science and Engineering – Book of Extended Abstracts

The present volume on Mathematical Analysis and Applications in Science and Engineering - Book of Extended Abstracts of the ICMASC’2022 collects the extended abstracts of the talks presented at the International Conference on Mathematical Analysis and Applications in Science and Engineering – ICMA2SC'22 that took place at the beautiful city of Porto, Portugal, in June 27th-June 29th 2022 (3 days). Its aim was to bring together researchers in every discipline of applied mathematics, science, engineering, industry, and technology, to discuss the development of new mathematical models, theories, and applications that contribute to the advancement of scientific knowledge and practice. Authors proposed research in topics including partial and ordinary differential equations, integer and fractional order equations, linear algebra, numerical analysis, operations research, discrete mathematics, optimization, control, probability, computational mathematics, amongst others. The conference was designed to maximize the involvement of all participants and will present the state-of- the-art research and the latest achievements.info:eu-repo/semantics/publishedVersio