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Economic dispatch problem for a networked power system has been considered. The objective is to minimize the total generation cost while meeting the overall supply-demand balance and generation capacity. In particular, a more practical…

Systems and Control · Computer Science 2019-05-01 Seungjoon Lee , Hyungbo Shim

This paper proposes a convex non-linear cost saving model for optimal economic dispatch in a microgrid. The mod-el incorporates energy storage degradation cost and intermittent renewable generation. Cell degradation cost being a non-linear…

Signal Processing · Electrical Eng. & Systems 2018-04-17 Vikram Bhattacharjee , Irfan Khan

The economic dispatch problem is considered for unbalanced three-phase power distribution networks entailing both non-deferrable and elastic loads, and distributed generation (DG) units. The objective is to minimize the costs of power drawn…

Optimization and Control · Mathematics 2012-11-27 Emiliano Dall'Anese , Georgios B. Giannakis , Bruce F. Wollenberg

Given the complexity of power systems, particularly the high-dimensional variability of net loads, accurately depicting the entire operational range of net loads poses a challenge. To address this, recent methodologies have sought to gauge…

Optimization and Control · Mathematics 2024-07-23 Xinyi Zhao , Lei Fan , Fei Ding , Weijia Liu , Chaoyue Zhao

We consider the worst-case load-shedding problem in electric power networks where a number of transmission lines are to be taken out of service. The objective is to identify a pre-specified number of line outage that leads to the maximum…

Optimization and Control · Mathematics 2018-10-22 Fu Lin

Motivated by potential applications in power systems, we study a problem of optimizing a sum of $n$ convex functions on dynamic networks of $n$ nodes when each function is known to only a single node. The nodes' variables, while satisfy…

Optimization and Control · Mathematics 2016-10-04 Thinh T. Doan , Alex Olshevsky

We consider the problem of deriving an explicit approximate solution of the nonlinear power equations that describe a balanced power distribution network. We give sufficient conditions for the existence of a practical solution to the power…

Optimization and Control · Mathematics 2019-07-09 Saverio Bolognani , Sandro Zampieri

This paper studies two fundamental problems in power systems: the economic dispatch problem (EDP) and load shedding. For the EDP, an extension of the problem considering the transmission losses is presented. Because the optimization problem…

Systems and Control · Electrical Eng. & Systems 2021-08-31 Ismi Rosyiana Fitri , Jung-Su Kim

This paper incorporates a continuous-type network flexibility into chance constrained economic dispatch (CCED). In the proposed model, both power generations and line susceptances are continuous variables to minimize the expected generation…

Systems and Control · Electrical Eng. & Systems 2024-02-27 Yue Song , Tao Liu , David J. Hill

We study distributed convex optimization with two ubiquitous forms of coupling: consensus constraints and global affine equalities. We first design a linearized method of multipliers for the consensus optimization problem. Without…

Optimization and Control · Mathematics 2025-11-26 Chenyang Qiu , Zongli Lin

This research presents a novel approach to solving the economic load dispatch (ELD) problem in smart grid systems by leveraging a multi-agent distributed consensus strategy. The core idea revolves around achieving agreement among generators…

Systems and Control · Electrical Eng. & Systems 2026-03-17 Arnab Pal , Suman Singha Roy , Asim Kumar Naskar

This paper proposes and analyzes a communication-efficient distributed optimization framework for general nonconvex nonsmooth signal processing and machine learning problems under an asynchronous protocol. At each iteration, worker machines…

Optimization and Control · Mathematics 2020-07-15 Jineng Ren , Jarvis Haupt

We investigate the dependence of transmission losses on the choice of a slack bus in high voltage AC transmission networks. We formulate a transmission loss minimization problem in terms of slack variables representing the additional power…

Systems and Control · Computer Science 2017-07-25 Tommaso Coletta , Philippe Jacquod

For the nonlinear power flow problem specified with standard PQ, PV, and slack bus equality constraints, we present a sufficient condition under which the specified set of nonlinear algebraic equations has no solution. This sufficient…

Optimization and Control · Mathematics 2014-02-03 Daniel K. Molzahn , Bernard C. Lesieutre , Christopher L. DeMarco

The security-constrained economic dispatch (SCED) problem tries to maintain the reliability of a power network by ensuring that a single failure does not lead to a global outage. The previous research has mainly investigated SCED by…

Systems and Control · Computer Science 2017-06-05 Mohammad H. Hajiesmaili , Desmond Cai , Enrique Mallada

Given two probability measures on sequential data, we investigate the transport problem with time-inconsistent preferences in a discrete-time setting. Motivating examples are nonlinear objectives, state-dependent costs, and regularized…

Optimization and Control · Mathematics 2025-06-23 Erhan Bayraktar , Bingyan Han

This paper considers the economic dispatch problem for a network of power generating units communicating over a strongly connected, weight-balanced digraph. The collective aim is to meet a power demand while respecting individual generator…

Optimization and Control · Mathematics 2014-09-16 Ashish Cherukuri , Jorge Cortes

In a generalized network design (GND) problem, a set of resources are assigned to multiple communication requests. Each request contributes its weight to the resources it uses and the total load on a resource is then translated to the cost…

Computer Science and Game Theory · Computer Science 2018-03-15 Yuval Emek , Shay Kutten , Ron Lavi , Yangguang Shi

This paper explores solutions to linearized powerflow equations with bus-voltage phasors represented in rectangular coordinates. The key idea is to solve for complex-valued perturbations around a nominal voltage profile from a set of linear…

Systems and Control · Computer Science 2015-12-23 Sairaj V. Dhople , Swaroop S. Guggilam , Yu Christine Chen

In this paper, we investigate the problem of coordination between economic dispatch (ED) and demand response (DR) in multi-energy systems (MESs), aiming to improve the economic utility and reduce the waste of energy in MESs. Since multiple…

Systems and Control · Electrical Eng. & Systems 2021-04-20 Zishun Liu , Shanying Zhu , Jinming Xu , Cailian Chen
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