A Proximal Atomic Coordination Algorithm for Distributed Optimization in Distribution Grids

A Proximal Atomic Coordination Algorithm for Distributed Optimization in Distribution Grids PDF Author: Jordan Joseph Romvary
Publisher:
ISBN:
Category :
Languages : en
Pages : 304

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Book Description
The control and regulation of power grids has historically relied upon large-scale scheduleable generation and relatively stable load demand profiles. With the advent of extensive local renewable energy generation technologies as well as the incorporation of load responsive demand response (DR) methodologies, it has become imperative that new distributed control strategies are developed to better regulate the increasingly volatile nature of modern generation and load profiles. In this thesis, we introduce a distributed control strategy called Proximal Atomic Coordination (PAC) to solve for optimal control strategies in distributed power grids, a problem called Optimal Power Flow (OPF). Using a convex relaxed variant of OPF, we show that PAC exhibits sub-linear convergence to the optimal ergodic cost, and linear convergence to the OPF solution. We demonstrate our results on various power grid topologies with large levels of renewable energy penetration and DR, and show that PAC converges to optimal control profiles in these scenarios. We further show that in certain regimes PAC outperforms the standard distributed 2-Block ADMM algorithm, and we discuss the benefits of using PAC over 2-Block ADMM and other standard distributed solvers.

A Proximal Atomic Coordination Algorithm for Distributed Optimization in Distribution Grids

A Proximal Atomic Coordination Algorithm for Distributed Optimization in Distribution Grids PDF Author: Jordan Joseph Romvary
Publisher:
ISBN:
Category :
Languages : en
Pages : 304

Get Book Here

Book Description
The control and regulation of power grids has historically relied upon large-scale scheduleable generation and relatively stable load demand profiles. With the advent of extensive local renewable energy generation technologies as well as the incorporation of load responsive demand response (DR) methodologies, it has become imperative that new distributed control strategies are developed to better regulate the increasingly volatile nature of modern generation and load profiles. In this thesis, we introduce a distributed control strategy called Proximal Atomic Coordination (PAC) to solve for optimal control strategies in distributed power grids, a problem called Optimal Power Flow (OPF). Using a convex relaxed variant of OPF, we show that PAC exhibits sub-linear convergence to the optimal ergodic cost, and linear convergence to the OPF solution. We demonstrate our results on various power grid topologies with large levels of renewable energy penetration and DR, and show that PAC converges to optimal control profiles in these scenarios. We further show that in certain regimes PAC outperforms the standard distributed 2-Block ADMM algorithm, and we discuss the benefits of using PAC over 2-Block ADMM and other standard distributed solvers.

Optimal Coordination of Distributed Energy Resources in Smart Grids Enabled by Distributed Optimization and Transactive Energy

Optimal Coordination of Distributed Energy Resources in Smart Grids Enabled by Distributed Optimization and Transactive Energy PDF Author: Rabab Haider
Publisher:
ISBN:
Category :
Languages : en
Pages : 310

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Book Description
Modern active distribution grids are characterized by the increasing penetration of distributed energy resources (DERs). The proper coordination and scheduling of a large numbers of these DERs can only be achieved at the nexus of new technological approaches and policies, primarily distributed computation and transactive energy. Transactive energy is a control mechanism which uses economic incentives, such as time-of-use or real-time electricity prices, to influence the behaviour of independent agents (i.e. DERs in the grid) as needed by the grid operator. This thesis tackles the problem of DER coordination by considering the role of distributed optimization algorithms in solving the optimal power flow (OPF) problem, when a large number of small scale DERs are present. The OPF problem minimizes costs to operate the grid, while subject to network constraints. The distributed implementation makes large-scale problems computationally tractable, while also maintaining privacy of local information. First, we utilize a new convex formulation of the power grid based on current injection (CI) and McCormick Envelopes, to model distribution grids of meshed topology and unbalanced structure. The OPF problem is then solved for such grid structures, using the distributed proximal atomic coordination (PAC) algorithm, which has several advantages over other distributed algorithms. These advantages include reduced network communication requirements, reduced local computational effort, and improved privacy. The DER coordination problem is then extended to consider storage devices. This requires a multi-period OPF formulation, which is also solved using the PAC algorithm. Results from active configurations of the IEEE 123-bus network corroborate the need for a multi-period optimization approach under high penetration of renewable resources. Finally, we propose a retail market mechanism which can be viewed as a transactive energy scheme within the distribution grid. Through the retail market, DERs are optimally scheduled in an energy market, and leveraged in alert system cases in an ancillary services market. The transactions of the energy market are carried out at each primacy feeder through bilateral agreements between the Distribution System Operator (DSO) and agents representing DERs at feeder buses, leveraging the PAC algorithm. These interactions determine the optimal real-time resource schedules and distributed Locational Marginal Price. The PAC algorithm and proposed market are extensively validated on a real distribution grid in Tokyo, a balanced IEEE 123-bus distribution grid, and a three feeder model using the IEEE 13-bus. The energy market is shown to result in an overall increase in revenue for the DSO.

Distributed Optimization: Advances in Theories, Methods, and Applications

Distributed Optimization: Advances in Theories, Methods, and Applications PDF Author: Huaqing Li
Publisher: Springer Nature
ISBN: 9811561095
Category : Technology & Engineering
Languages : en
Pages : 243

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Book Description
This book offers a valuable reference guide for researchers in distributed optimization and for senior undergraduate and graduate students alike. Focusing on the natures and functions of agents, communication networks and algorithms in the context of distributed optimization for networked control systems, this book introduces readers to the background of distributed optimization; recent developments in distributed algorithms for various types of underlying communication networks; the implementation of computation-efficient and communication-efficient strategies in the execution of distributed algorithms; and the frameworks of convergence analysis and performance evaluation. On this basis, the book then thoroughly studies 1) distributed constrained optimization and the random sleep scheme, from an agent perspective; 2) asynchronous broadcast-based algorithms, event-triggered communication, quantized communication, unbalanced directed networks, and time-varying networks, from a communication network perspective; and 3) accelerated algorithms and stochastic gradient algorithms, from an algorithm perspective. Finally, the applications of distributed optimization in large-scale statistical learning, wireless sensor networks, and for optimal energy management in smart grids are discussed.

Distributed Optimization, Game and Learning Algorithms

Distributed Optimization, Game and Learning Algorithms PDF Author: Huiwei Wang
Publisher: Springer Nature
ISBN: 9813345284
Category : Technology & Engineering
Languages : en
Pages : 227

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Book Description
This book provides the fundamental theory of distributed optimization, game and learning. It includes those working directly in optimization,-and also many other issues like time-varying topology, communication delay, equality or inequality constraints,-and random projections. This book is meant for the researcher and engineer who uses distributed optimization, game and learning theory in fields like dynamic economic dispatch, demand response management and PHEV routing of smart grids.

Flexible Distribution Networks

Flexible Distribution Networks PDF Author: Peng Li
Publisher: Elsevier
ISBN: 0128242078
Category : Technology & Engineering
Languages : en
Pages : 431

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Book Description
Flexible Distribution Networks facilitates the enhanced flexibility, efficiency and reliability of distribution networks under complex operating environments delivered by high DG penetration. Considering the high share of DG and flexibility improvement brought by SOP-type power electronic devices, the work aims to solve the issues of optimal operation of flexible distribution networks. Technical solutions for flexible operation problems of FDN are discussed in depth, including efficient analytical methods with high penetration of DG, SOP-based optimal operation methods with uncertainty, and high-performance convex optimization algorithms. Readers will develop sound knowledge and gain insights into the optimal operation of FDN with high penetration of DG. - Provides efficient operation analysis methods for FDN with high penetration of distributed generators - Proposes measurement-based network estimation methods to improve the observability of network states - Develops SOP-based optimal operation methods to facilitate the flexible operation of FDN under complex and uncertain environments - Expounds local control frameworks to realize the rapid and effective implementation of flexible operation strategies - Reviews high-performance convex optimization methods to realize the efficient solving of optimal operation problems in FDN

Distributed Optimization in Networked Systems

Distributed Optimization in Networked Systems PDF Author: Qingguo Lü
Publisher: Springer Nature
ISBN: 9811985596
Category : Computers
Languages : en
Pages : 282

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Book Description
This book focuses on improving the performance (convergence rate, communication efficiency, computational efficiency, etc.) of algorithms in the context of distributed optimization in networked systems and their successful application to real-world applications (smart grids and online learning). Readers may be particularly interested in the sections on consensus protocols, optimization skills, accelerated mechanisms, event-triggered strategies, variance-reduction communication techniques, etc., in connection with distributed optimization in various networked systems. This book offers a valuable reference guide for researchers in distributed optimization and for senior undergraduate and graduate students alike.

E-Mobility in Electrical Energy Systems for Sustainability

E-Mobility in Electrical Energy Systems for Sustainability PDF Author: D., Lakshmi
Publisher: IGI Global
ISBN:
Category : Technology & Engineering
Languages : en
Pages : 412

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Book Description
As more and more communities around the world are turning to electric vehicles (EVs) to help the environment and save energy, we face a big challenge. The systems that deliver power to our homes and businesses are having a tough time keeping up, especially with the increasing use of EVs. This challenge is a major issue for the experts in the energy field who are working hard to figure out how to make sure our power systems stay reliable. The main goal for these experts right now is to create a strong, flexible system that can smoothly handle the integration of EVs, making sure the power flows well, the grid stays stable, and the systems remain eco-friendly. E-Mobility in Electrical Energy Systems for Sustainability is a comprehensive guide to navigating the complexities of e-mobility integration. Delving into crucial aspects such as architectural reconfiguration, restoration strategies, power quality control, and regulatory frameworks, the book provides solutions on how to address the challenges posed by the integration of EVs into distribution systems. Its examination of advanced technologies, including communication-enabled EV charging systems, battery management systems, and power grid cybersecurity measures, equips readers with the knowledge needed to start the transformative journey towards sustainable electric transportation. This book is a great resource for those seeking to understand, engage with, and contribute to the landscape of e-mobility integration.

Distributed Optimization and Statistical Learning Via the Alternating Direction Method of Multipliers

Distributed Optimization and Statistical Learning Via the Alternating Direction Method of Multipliers PDF Author: Stephen Boyd
Publisher: Now Publishers Inc
ISBN: 160198460X
Category : Computers
Languages : en
Pages : 138

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Book Description
Surveys the theory and history of the alternating direction method of multipliers, and discusses its applications to a wide variety of statistical and machine learning problems of recent interest, including the lasso, sparse logistic regression, basis pursuit, covariance selection, support vector machines, and many others.

Distributed Systems

Distributed Systems PDF Author: Andrew S. Tanenbaum
Publisher:
ISBN: 9781530281756
Category : Distributed operating systems (Computers).
Languages : en
Pages : 0

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Book Description
This second edition of Distributed Systems, Principles & Paradigms, covers the principles, advanced concepts, and technologies of distributed systems in detail, including: communication, replication, fault tolerance, and security. Intended for use in a senior/graduate level distributed systems course or by professionals, this text systematically shows how distributed systems are designed and implemented in real systems.

Parallel and Distributed Computation: Numerical Methods

Parallel and Distributed Computation: Numerical Methods PDF Author: Dimitri Bertsekas
Publisher: Athena Scientific
ISBN: 1886529159
Category : Mathematics
Languages : en
Pages : 832

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Book Description
This highly acclaimed work, first published by Prentice Hall in 1989, is a comprehensive and theoretically sound treatment of parallel and distributed numerical methods. It focuses on algorithms that are naturally suited for massive parallelization, and it explores the fundamental convergence, rate of convergence, communication, and synchronization issues associated with such algorithms. This is an extensive book, which aside from its focus on parallel and distributed algorithms, contains a wealth of material on a broad variety of computation and optimization topics. It is an excellent supplement to several of our other books, including Convex Optimization Algorithms (Athena Scientific, 2015), Nonlinear Programming (Athena Scientific, 1999), Dynamic Programming and Optimal Control (Athena Scientific, 2012), Neuro-Dynamic Programming (Athena Scientific, 1996), and Network Optimization (Athena Scientific, 1998). The on-line edition of the book contains a 95-page solutions manual.