Equilibrium Problems With Equilibrium Constraints And Their Application To Electricity Markets
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| Author | : Xiao-Ping Zhang |
| Publisher | : John Wiley & Sons |
| Total Pages | : 292 |
| Release | : 2010-10-15 |
| Genre | : Technology & Engineering |
| ISBN | : 1118017072 |
The latest practical applications of electricity market equilibrium models in analyzing electricity markets Electricity market deregulation is driving the power energy production from a monopolistic structure into a competitive market environment. The development of electricity markets has necessitated the need to analyze market behavior and power. Restructured Electric Power Systems reviews the latest developments in electricity market equilibrium models and discusses the application of such models in the practical analysis and assessment of electricity markets. Drawing upon the extensive involvement in the research and industrial development of the leading experts in the subject area, the book starts by explaining the current developments of electrical power systems towards smart grids and then relates the operation and control technologies to the aspects in electricity markets. It explores: The problems of electricity market behavior and market power Mathematical programs with equilibrium constraints (MPEC) and equilibrium problems with equilibrium constraints (EPEC) Tools and techniques for solving the electricity market equilibrium problems Various electricity market equilibrium models State-of-the-art techniques for computing the electricity market equilibrium problems The application of electricity market equilibrium models in assessing the economic benefits of transmission expansions for market environments, forward and spot markets, short-term power system security, and analysis of reactive power impact Also featured are computational resources to allow readers to develop algorithms on their own, as well as future research directions in modeling and computational techniques in electricity market analysis. Restructured Electric Power Systems is an invaluable reference for electrical engineers and power system economists from power utilities and for professors, postgraduate students, and undergraduate students in electrical power engineering, as well as those responsible for the design, engineering, research, and development of competitive electricity markets and electricity market policy.
| Author | : Zhi-Quan Luo |
| Publisher | : Cambridge University Press |
| Total Pages | : 432 |
| Release | : 1996-11-13 |
| Genre | : Mathematics |
| ISBN | : 9780521572903 |
An extensive study for an important class of constrained optimisation problems known as Mathematical Programs with Equilibrium Constraints.
| Author | : Wei Wei |
| Publisher | : Springer Nature |
| Total Pages | : 722 |
| Release | : 2019-10-22 |
| Genre | : Technology & Engineering |
| ISBN | : 3030259587 |
This book opens up new ways to develop mathematical models and optimization methods for interdependent energy infrastructures, ranging from the electricity network, natural gas network, district heating network, and electrified transportation network. The authors provide methods to help analyze, design, and operate the integrated energy system more efficiently and reliably, and constitute a foundational basis for decision support tools for the next-generation energy network. Chapters present new operation models of the coupled energy infrastructure and the application of new methodologies including convex optimization, robust optimization, and equilibrium constrained optimization. Four appendices provide students and researchers with helpful tutorials on advanced optimization methods: Basics of Linear and Conic Programs; Formulation Tricks in Integer Programming; Basics of Robust Optimization; Equilibrium Problems. This book provides theoretical foundation and technical applications for energy system integration, and the the interdisciplinary research presented will be useful to readers in many fields including electrical engineering, civil engineering, and industrial engineering.
| Author | : Anthony Papavasiliou |
| Publisher | : Cambridge University Press |
| Total Pages | : 389 |
| Release | : 2024-05-31 |
| Genre | : Science |
| ISBN | : 1009416618 |
Get up-to-speed with the fundamentals of how electricity markets are structured and operated with this comprehensive textbook, presenting coverage of key topics in electricity market design, including power system and power market operations, transmission, unit commitment, demand response, and risk management. It includes over 140 practical examples, inspired by real-industry applications, connecting key theoretical concepts to practical scenarios in electricity market design, and features over 100 coding-based examples and exercises, with selected solutions for readers. It further demonstrates how mathematical programming models are implemented in an industry setting. Requiring no experience in power systems or energy economics, this is the ideal introduction to electricity markets for senior undergraduate and graduate students in electrical engineering, economics, and operations research, and a robust introduction to the field for professionals in utilities, energy policy, and energy regulation. Accompanied online by datasets, AMPL code, supporting videos, and full solutions and lecture slides for instructors.
| Author | : Steven A. Gabriel |
| Publisher | : Springer Science & Business Media |
| Total Pages | : 637 |
| Release | : 2012-07-20 |
| Genre | : Business & Economics |
| ISBN | : 1441961232 |
This addition to the ISOR series introduces complementarity models in a straightforward and approachable manner and uses them to carry out an in-depth analysis of energy markets, including formulation issues and solution techniques. In a nutshell, complementarity models generalize: a. optimization problems via their Karush-Kuhn-Tucker conditions b. on-cooperative games in which each player may be solving a separate but related optimization problem with potentially overall system constraints (e.g., market-clearing conditions) c. conomic and engineering problems that aren’t specifically derived from optimization problems (e.g., spatial price equilibria) d. roblems in which both primal and dual variables (prices) appear in the original formulation (e.g., The National Energy Modeling System (NEMS) or its precursor, PIES). As such, complementarity models are a very general and flexible modeling format. A natural question is why concentrate on energy markets for this complementarity approach? s it turns out, energy or other markets that have game theoretic aspects are best modeled by complementarity problems. The reason is that the traditional perfect competition approach no longer applies due to deregulation and restructuring of these markets and thus the corresponding optimization problems may no longer hold. Also, in some instances it is important in the original model formulation to involve both primal variables (e.g., production) as well as dual variables (e.g., market prices) for public and private sector energy planning. Traditional optimization problems can not directly handle this mixing of primal and dual variables but complementarity models can and this makes them all that more effective for decision-makers.
| Author | : Jeremy Lin |
| Publisher | : John Wiley & Sons |
| Total Pages | : 357 |
| Release | : 2017-08-30 |
| Genre | : Science |
| ISBN | : 1119179378 |
A comprehensive resource that provides the basic concepts of electric power systems, microeconomics, and optimization techniques Electricity Markets: Theories and Applications offers students and practitioners a clear understanding of the fundamental concepts of the economic theories, particularly microeconomic theories, as well as information on some advanced optimization methods of electricity markets. The authors—noted experts in the field—cover the basic drivers for the transformation of the electricity industry in both the United States and around the world and discuss the fundamentals of power system operation, electricity market design and structures, and electricity market operations. The text also explores advanced topics of power system operations and electricity market design and structure including zonal versus nodal pricing, market performance and market power issues, transmission pricing, and the emerging problems electricity markets face in smart grid and micro-grid environments. The authors also examine system planning under the context of electricity market regime. They explain the new ways to solve problems with the tremendous amount of economic data related to power systems that is now available. This important resource: Introduces fundamental economic concepts necessary to understand the operations and functions of electricity markets Presents basic characteristics of power systems and physical laws governing operation Includes mathematical optimization methods related to electricity markets and their applications to practical market clearing issues Electricity Markets: Theories and Applications is an authoritative text that explores the basic concepts of the economic theories and key information on advanced optimization methods of electricity markets.
| Author | : Richard W. Cottle |
| Publisher | : SIAM |
| Total Pages | : 781 |
| Release | : 2009-08-27 |
| Genre | : Mathematics |
| ISBN | : 0898716861 |
A revised edition of the standard reference on the linear complementarity problem.
| Author | : Stephan Dempe |
| Publisher | : Springer Nature |
| Total Pages | : 679 |
| Release | : 2020-11-23 |
| Genre | : Business & Economics |
| ISBN | : 3030521192 |
2019 marked the 85th anniversary of Heinrich Freiherr von Stackelberg’s habilitation thesis “Marktform und Gleichgewicht,” which formed the roots of bilevel optimization. Research on the topic has grown tremendously since its introduction in the field of mathematical optimization. Besides the substantial advances that have been made from the perspective of game theory, many sub-fields of bilevel optimization have emerged concerning optimal control, multiobjective optimization, energy and electricity markets, management science, security and many more. Each chapter of this book covers a specific aspect of bilevel optimization that has grown significantly or holds great potential to grow, and was written by top experts in the corresponding area. In other words, unlike other works on the subject, this book consists of surveys of different topics on bilevel optimization. Hence, it can serve as a point of departure for students and researchers beginning their research journey or pursuing related projects. It also provides a unique opportunity for experienced researchers in the field to learn about the progress made so far and directions that warrant further investigation. All chapters have been peer-reviewed by experts on mathematical optimization.
| Author | : Roberto Cominetti |
| Publisher | : Springer Science & Business Media |
| Total Pages | : 265 |
| Release | : 2012-08-28 |
| Genre | : Business & Economics |
| ISBN | : 3034802919 |
The theory of optimization, understood in a broad sense, is the basis of modern applied mathematics, covering a large spectrum of topics from theoretical considerations (structure, stability) to applied operational research and engineering applications. The compiled material of this book puts on display this versatility, by exhibiting the three parallel and complementary components of optimization: theory, algorithms, and practical problems. The book contains an expanded version of three series of lectures delivered by the authors at the CRM in July 2009. The first part is a self-contained course on the general moment problem and its relations with semidefinite programming. The second part is dedicated to the problem of determination of Nash equilibria from an algorithmic viewpoint. The last part presents congestion models for traffic networks and develops modern optimization techniques for finding traffic equilibria based on stochastic optimization and game theory.
| Author | : Franco Giannessi |
| Publisher | : Springer Science & Business Media |
| Total Pages | : 1163 |
| Release | : 2007-03-06 |
| Genre | : Mathematics |
| ISBN | : 0387242767 |
This Volume contains the (refereed) papers presented at the 38th Conference of the School of Mathematics "G.Stampacchia" of the "E.Majorana" Centre for Scientific Culture of Erice (Sicily), held in Memory ofG. Stampacchia and J.-L. Lions in the period June 20 - July 2003. The presence of participants from Countries has greatly contributed to the success of the meeting. The School of Mathematics was dedicated to Stampacchia, not only for his great mathematical achievements, but also because He founded it. The core of the Conference has been the various features of the Variational Analysis and their motivations and applications to concrete problems. Variational Analysis encompasses a large area of modem Mathematics, such as the classical Calculus of Variations, the theories of perturbation, approximation, subgradient, subderivates, set convergence and Variational Inequalities, and all these topics have been deeply and intensely dealt during the Conference. In particular, Variational Inequalities, which have been initiated by Stampacchia, inspired by Signorini Problem and the related work of G. Fichera, have offered a very great possibility of applications to several fundamental problems of Mathematical Physics, Engineering, Statistics and Economics. The pioneer work of Stampacchia and Lions can be considered as the basic kernel around which Variational Analysis is going to be outlined and constructed. The Conference has dealt with both finite and infinite dimensional analysis, showing that to carry on these two aspects disjointly is unsuitable for both.
