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Distribution locational marginal prices (DLMPs) facilitate the efficient operation of low-voltage electric power distribution systems. We propose an approach to internalize the stochasticity of renewable distributed energy resources (DERs)…

Systems and Control · Computer Science 2020-04-28 Robert Mieth , Yury Dvorkin

Nonlinear convex relaxations of the power flow equations and, in particular, the Semi-Definite Programming (SDP), Convex Quadratic (QC), and Second-Order Cone (SOC) relaxations, have attracted significant interest in recent years. Thus far,…

Optimization and Control · Mathematics 2015-11-13 Carleton Coffrin , Hassan L. Hijazi , Pascal Van Hentenryck

Locational Marginal Price (LMP) is a dual variable associated with supply-demand matching and represents the cost of delivering power to a particular location if the load at that location increases. In recent times it become more volatile…

Optimization and Control · Mathematics 2018-11-07 Shantanu Chakraborty , Remco Verzijlbergh , Milos Cvetkovic , Kyri Baker , Zofia Lukszo

Second order conic programming (SOCP) has been used to model various applications in power systems, such as operation and expansion planning. In this paper, we present a two-stage stochastic mixed integer SOCP (MISOCP) model for the…

Optimization and Control · Mathematics 2017-04-04 Hossein Haghighat , Bo Zeng

The increasing share of distributed energy sources enhances the participation potential of distributed flexibility in the provision of system services. However, this participation can endanger the grid-safety of the distribution networks…

Optimization and Control · Mathematics 2024-06-26 Abhimanyu Kaushal , Wicak Ananduta , Luciana Marques , Tom Cuypers , Anibal Sanjab

Transactive or market-based coordination strategies have recently been proposed for controlling the aggregate demand of a large number of electric loads. Such schemes offer operational benefits such as enforcing distribution feeder capacity…

Systems and Control · Computer Science 2017-02-17 Md Salman Nazir , Ian A. Hiskens

Electricity market operators worldwide use mixed-integer linear programming to solve the allocation problem in wholesale electricity markets. Prices are typically determined based on the duals of relaxed versions of this optimization…

Computer Science and Game Theory · Computer Science 2023-12-13 Mete Şeref Ahunbay , Martin Bichler , Teodora Dobos , Johannes Knörr

Traditional bulk load flexibility options, such as load shifting and load curtailment, for managing uncertainty in power markets limit the diversity of options and ignore the preferences of the individual loads, thus reducing efficiency and…

Systems and Control · Electrical Eng. & Systems 2021-12-20 Majid Majidi , Deepan Muthirayan , Masood Parvania , Pramod P. Khargonekar

Mixed-Integer Second-Order Cone Programs (MISOCPs) form a nice class of mixed-inter convex programs, which can be solved very efficiently due to the recent advances in optimization solvers. Our paper bridges the gap between modeling a class…

Optimization and Control · Mathematics 2022-06-22 Amir Ahmadi-Javid , Pooya Hoseinpour

This paper proposes a preventive congestion management framework with joint Local Flexibility Capacity Market (LFCM) and Local Energy Markets (LEMs). The framework enables Local Energy Communities (LECs) to optimize their flexibility…

Systems and Control · Electrical Eng. & Systems 2025-04-30 Maryam Mohiti , Mohammadreza Mazidi , David Steen , Le Anh Tuan

The increasing integration of renewable energy sources into power systems is intensifying the demand for greater flexibility among industrial electricity consumers. However, operational constraints, production requirements, and market…

Systems and Control · Electrical Eng. & Systems 2025-09-22 Sebastián Rojas-Innocenti , Enrique Baeyens , Alejandro Martín-Crespo , Sergio Saludes-Rodil , Fernando Frechoso

Pricing the reactive power is more necessary than ever before because of the increasing challenge of renewable energy integration on reactive power balance and voltage control. However, reactive power price is hard to be efficiently…

Systems and Control · Electrical Eng. & Systems 2020-07-01 Yanghao Yu , Qingchun Hou , Yi Ge , Guojing Liu , Ning Zhang

The alternating current optimal power flow (ACOPF) problem is central to modern power system operations, determining how electricity is generated and transmitted to maximize social welfare while respecting physical and operational…

Optimization and Control · Mathematics 2026-02-17 Ata Keskin

This paper proposes online algorithms for dynamic matching markets in power distribution systems, which at any real-time operation instance decides about matching -- or delaying the supply of -- flexible loads with available renewable…

Systems and Control · Electrical Eng. & Systems 2020-07-17 Deepan Muthirayan , Masood Parvania , Pramod P. Khargonekar

DC power flow approximations are ubiquitous in the electricity industry. However, these linear approximations fail to capture important physical aspects of power flow, such as the reactive power and voltage magnitude, which are crucial in…

Optimization and Control · Mathematics 2016-03-16 Sleiman Mhanna , Gregor Verbic , Archie Chapman

The pooling problem is an important industrial problem in the class of network flow problems for allocating gas flow in pipeline transportation networks. For P-formulation of the pooling problem with time discretization, we propose second…

Optimization and Control · Mathematics 2018-04-10 Masaki Kimizuka , Sunyoung Kim , Makoto Yamashita

The main goal of a sequential two-stage electricity market -- e.g., day-ahead and real-time markets -- is to operate efficiently. However, the price difference across stages due to inadequate competition and unforeseen circumstances leads…

Optimization and Control · Mathematics 2023-09-19 Rajni Kant Bansal , Yue Chen , Pengcheng You , Enrique Mallada

The paper proposes an approach for the efficient model order reduction of dynamic contact problems in linear elasticity. Instead of the augmented Lagrangian method that is widely used for mechanical contact problems, we prefer here the…

Numerical Analysis · Mathematics 2021-07-27 Diana Manvelyan , Bernd Simeon , Utz Wever

This paper addresses the problem of how best to coordinate, or `stack,' energy storage services in systems that lack centralized markets. Specifically, its focus is on how to coordinate transmission-level congestion relief with local,…

New resource mix, e.g., renewable resources, are imposing operational complexities to modern power systems by intensifying uncertainty and variability in the system net load. This issue has motivated independent system operators (ISOs),…

Systems and Control · Electrical Eng. & Systems 2020-12-10 Mohammad Ghaljehei , Mojdeh Khorsand