Proceedings ArticleDOI
Security Constrained Optimal Power Flow via proximal message passing
TLDR
The proximal message passing framework is extended to handle reliability constraints across scenarios, and the resulting algorithm is extremely scalable with respect to both network size and the number of scenarios.Abstract:
In this paper, we propose a distributed algorithm to solve the Security Constrained Optimal Power Flow (SC-OPF) Problem. We consider a network of devices, each with its own dynamic constraints and objective, subject to reliability constraints across multiple scenarios. Each scenario corresponds to the failure or degradation of a set of devices and has an associated probability of occurrence. The network objective is to minimize the cost of operation of all devices, over a given time horizon, across all scenarios subject to the constraints of transmission limit, upper and lower generating limits, generation-load balance etc. This is a large optimization problem, with variables for consumption and generation for each device, in each scenario. In this paper, we extend the proximal message passing framework to handle reliability constraints across scenarios. The resulting algorithm is extremely scalable with respect to both network size and the number of scenarios.read more
Citations
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Journal ArticleDOI
A Survey of Distributed Optimization and Control Algorithms for Electric Power Systems
Daniel K. Molzahn,Florian Dörfler,Henrik Sandberg,Steven H. Low,Sambuddha Chakrabarti,Ross Baldick,Javad Lavaei +6 more
TL;DR: This paper reviews distributed algorithms for offline solution of optimal power flow (OPF) problems as well as online algorithms for real-time solution of OPF, optimal frequency control, optimal voltage control, and optimal wide-area control problems.
Journal ArticleDOI
Toward Distributed/Decentralized DC Optimal Power Flow Implementation in Future Electric Power Systems
Amin Kargarian,Javad Mohammadi,Junyao Guo,Sambuddha Chakrabarti,Masoud Barati,Gabriela Hug,Soummya Kar,Ross Baldick +7 more
TL;DR: Six decomposition coordination algorithms are studied, including analytical target cascading, optimality condition decomposition, alternating direction method of multipliers, auxiliary problem principle, consensus+innovations, and proximal message passing to solve the optimal power flow (OPF) problem in electric power systems.
Journal ArticleDOI
Local flexibility markets: Literature review on concepts, models and clearing methods
TL;DR: This paper reviews local flexibility markets, which are currently being discussed and designed to provide trading platforms for local participants, including distribution system operators and aggregators, and summarizes the key elements, technologies and participants.
Journal ArticleDOI
Diagonal Quadratic Approximation for Decentralized Collaborative TSO+DSO Optimal Power Flow
TL;DR: A decentralized decision-making algorithm for collaborative TSO+DSO optimal power flow (OPF) implementation based on analytical target cascading for multilevel hierarchical optimization in complex engineering systems is presented.
Journal ArticleDOI
Decentralized Multi-Area Economic Dispatch via Dynamic Multiplier-Based Lagrangian Relaxation
TL;DR: In this paper, a dynamic multiplier-based Lagrangian relaxation approach for the solution to multi-area economic dispatch (MAED) in a fully decentralized manner is introduced. But, the authors do not consider the effect of variations in the power exchange level.
References
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Book
Distributed Optimization and Statistical Learning Via the Alternating Direction Method of Multipliers
TL;DR: It is argued that the alternating direction method of multipliers is well suited to distributed convex optimization, and in particular to large-scale problems arising in statistics, machine learning, and related areas.
Journal ArticleDOI
Zero Duality Gap in Optimal Power Flow Problem
Javad Lavaei,Steven H. Low +1 more
TL;DR: In this article, a necessary and sufficient condition is provided to guarantee the existence of no duality gap for the optimal power flow problem, which is the dual of an equivalent form of the OPF problem.
Journal ArticleDOI
Sur l'approximation, par éléments finis d'ordre un, et la résolution, par pénalisation-dualité d'une classe de problèmes de Dirichlet non linéaires
Roland Glowinski,A. Marroco +1 more
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M. Fortin,Roland Glowinski +1 more
TL;DR: In this article, the authors present the principles of the augmented Lagrangian Method, together with numerous applications of this method to the numerical solution of boundary-value problems for partial differential equations or inequalities arising in Mathematical Physics, in the Mechanics of Continuous Media and in the Engineering Sciences.
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Chapter IX Applications of the Method of Multipliers to Variational Inequalities
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