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We study the problem of modeling multiple symmetric, weighted networks defined on a common set of nodes, where networks arise from different groups or conditions. We propose a model in which each network is expressed as the sum of a shared…

统计理论 · 数学 2025-06-23 Hao Yan , Keith Levin

The presence of integer variables in the European day-ahead electricity market renders the social welfare maximization problem non-convex and non-differentiable, making classical marginal pricing theoretically inconsistent. Existing pricing…

最优化与控制 · 数学 2026-03-27 Zhen Wang , Mohammad Reza Hesamzadeh , Shudian Zhao , Jan Kronqvist

Coordination of distributed energy resources is critical for electricity grid management. Although nodal pricing schemes can mitigate congestion and voltage deviations, the resulting prices are not necessarily equitable. In this work, we…

最优化与控制 · 数学 2023-12-15 Emmanuel Balogun , Sonia Martin , Anthony Degleris , Ram Rajagopal

Accurate knowledge of power grid topology is a prerequisite for effective state estimation and grid stability. While data-driven methods for topology reconstruction exist, the minimum requirements for measurement quality, specifically…

物理与社会 · 物理学 2026-05-13 Daniel T. Speckhard

Time-varying pricing tariffs incentivize consumers to shift their electricity demand and reduce costs, but may increase the energy burden for consumers with limited response capability. The utility must thus balance affordability and…

机器学习 · 计算机科学 2023-07-31 Liudong Chen , Bolun Xu

Power grid operators face increasing difficulties in the control room as the increase in energy demand and the shift to renewable energy introduce new complexities in managing congestion and maintaining a stable supply. Effective grid…

The network pricing problem (NPP) is a bilevel problem, where the leader optimizes its revenue by deciding on the prices of certain arcs in a graph, while expecting the followers (also known as the commodities) to choose a shortest path…

最优化与控制 · 数学 2024-01-31 Quang Minh Bui , Margarida Carvalho , José Neto

This paper studies the problem of maximizing the social welfare while stabilizing both the physical power network as well as the market dynamics. For the physical power grid a third-order structure-preserving model is considered involving…

动力系统 · 数学 2017-04-25 Tjerk W. Stegink , Claudio De Persis , Arjan J. van der Schaft

The paper addresses the problem of low-rank trace norm minimization. We propose an algorithm that alternates between fixed-rank optimization and rank-one updates. The fixed-rank optimization is characterized by an efficient factorization…

最优化与控制 · 数学 2013-06-04 B. Mishra , G. Meyer , F. Bach , R. Sepulchre

Distribution markets are among the prospect being considered for the future of power systems. They would facilitate integration of distributed energy resources (DERs) and microgrids via a market mechanism and enable them to monetize…

系统与控制 · 计算机科学 2016-08-09 Sina Parhizi , Amin Khodaei

We address the problem of identifying the topology of an unknown weighted, directed network of LTI systems stimulated by wide-sense stationary noises of unknown power spectral densities. We propose several reconstruction algorithms based on…

系统与控制 · 计算机科学 2013-08-13 Shahin Shahrampour , Victor M. Preciado

Owing to the fluctuant renewable generation and power demand, the energy surplus or deficit in each nanogrid is embodied differently across time. To stimulate local renewable energy consumption and minimize the long-term energy cost, some…

计算机科学与博弈论 · 计算机科学 2022-03-02 Jiaxin Cao , Bo Yang , Shanying Zhu , Kai Ma , Xinping Guan

Emerging reconfigurable optical communication technologies allow to enhance datacenter topologies with demand-aware links optimized towards traffic patterns. This paper studies the algorithmic problem of jointly optimizing topology and…

性能 · 计算机科学 2024-01-10 Wenkai Dai , Michael Dinitz , Klaus-Tycho Foerster , Long Luo , Stefan Schmid

The paper proposes a framework for modeling and analysis of the dynamics of supply, demand, and clearing prices in power system with real-time retail pricing and information asymmetry. Real-time retail pricing is characterized by passing on…

系统与控制 · 计算机科学 2011-06-08 Mardavij Roozbehani , Munther A Dahleh , Sanjoy K Mitter

This paper proposes a market clearing mechanism for energy trading in a local transactive market, where each player can participate in the market as seller or buyer and tries to maximize its welfare individually. Market players send their…

系统与控制 · 计算机科学 2018-10-29 Mohsen Khorasany , Yateendra Mishra , Gerard Ledwich

We formulate optimization problems to study how data centers might modulate their power demands for cost-effective operation taking into account three key complex features exhibited by real-world electricity pricing schemes: (i)…

系统与控制 · 计算机科学 2013-09-05 Cheng Wang , Bhuvan Urgaonkar , Qian Wang , George Kesidis , Anand Sivasubramaniam

In this article, we present a method to reconstruct the topology of a partially observed radial network of linear dynamical systems with bi-directional interactions. Our approach exploits the structure of the inverse power spectral density…

系统与控制 · 计算机科学 2018-07-13 Saurav Talukdar , Deepjyoti Deka , Michael Chertkov , Murti Salapaka

The implementation of electricity markets based on locational marginal pricing in a multi-settlement process has allowed wholesale competition, with pricing mechanisms that incentivize the optimal allocation of generation, transmission, and…

系统与控制 · 电气工程与系统科学 2020-12-29 Veronica R. Bosquezfoti , Andrew L. Liu

Recently, the volatility associated with marginal prices has increased due to large scale integration of renewable generation. Price volatility is undesirable from a consumer perspective. To address this issue, we present a framework for…

最优化与控制 · 数学 2018-12-11 Shantanu Chakraborty , Kyri Baker , Milos Cvetkovic , Remco Verzijlbergh , Zofia Lukszo

The Laplacian-constrained Gaussian Markov Random Field (LGMRF) is a common multivariate statistical model for learning a weighted sparse dependency graph from given data. This graph learning problem can be formulated as a maximum likelihood…

机器学习 · 计算机科学 2024-04-15 Yakov Medvedovsky , Eran Treister , Tirza Routtenberg