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We analyze a sequential quadratic programming algorithm for solving a class of abstract optimization problems. Assuming that the initial point is in an $L^2$ neighborhood of a local solution that satisfies no-gap second-order sufficient…

Optimization and Control · Mathematics 2026-05-19 Eduardo Casas , Mariano Mateos

There has been widespread interest in the use of grid-level storage to handle the variability from increasing penetrations of wind and solar energy. This problem setting requires optimizing energy storage and release decisions for anywhere…

Optimization and Control · Mathematics 2016-05-06 Tsvetan Asamov , Daniel F. Salas , Warren B. Powell

By modeling the uncertainty of spinning reserves provided by energy storage with probabilistic constraints, a new optimal scheduling mode is proposed for minimizing the operating costs of an isolated microgrid (MG) by using…

Signal Processing · Electrical Eng. & Systems 2018-10-04 Yang Li , Zhen Yang , Guoqing Li , Dongbo Zhao , Wei Tian

In this paper, the short-term operation problem for a multiple energy carrier hybrid AC/DC microgrid is discussed. The hybrid microgrid consists of AC and DC parts, which are connected by means of inverters as well as natural gas network.…

Systems and Control · Electrical Eng. & Systems 2022-01-20 Reza Bayani , Mohammed Bushlaibi , Saeed D. Manshadi

The supply of electrical energy is being increasingly sourced from renewable generation resources. The variability and uncertainty of renewable generation, compared to a dispatch-able plant, is a significant dissimilarity of concern to the…

Optimization and Control · Mathematics 2017-11-16 Farhad Samadi Gazijahani , Javad Salehi

Distribution network reconfiguration (DNR) has proved to be an economical and effective way to improve the reliability of distribution systems. As optimal network configuration depends on system operating states (e.g., loads at each node),…

Systems and Control · Electrical Eng. & Systems 2023-05-03 Mukesh Gautam , Narayan Bhusal , Mohammed Benidris

One of the major issues with the integration of renewable energy sources into the power grid is the increased uncertainty and variability that they bring. If this uncertainty is not sufficiently addressed, it will limit the further…

Optimization and Control · Mathematics 2017-05-15 Joshua Comden , Zhenhua Liu , Yue Zhao

Scheduling a residential building short-term to optimize the electricity bill can be difficult with the inclusion of capacity-based grid tariffs. Scheduling the building based on a proposed measured-peak (MP) grid tariff, which is a cost…

Optimization and Control · Mathematics 2020-08-25 Kasper Emil Thorvaldsen , Sigurd Bjarghov , Hossein Farahmand

In recent years, it has become crucial to improve the resilience of electricity distribution networks (DNs) against storm-induced failures. Microgrids enabled by Distributed Energy Resources (DERs) can significantly help speed up…

Systems and Control · Electrical Eng. & Systems 2020-04-09 Derek Chang , Devendra Shelar , Saurabh Amin

Despite the numerous uses of semidefinite programming (SDP) and its universal solvability via interior point methods (IPMs), it is rarely applied to practical large-scale problems. This mainly owes to the computational cost of IPMs that…

Optimization and Control · Mathematics 2024-03-19 Yifan Ran , Stefan Vlaski , Wei Dai

This paper offers a new algorithm to efficiently optimize scheduling decisions for dial-a-ride problems (DARPs), including problem variants considering electric and autonomous vehicles (e-ADARPs). The scheduling heuristic, based on linear…

Optimization and Control · Mathematics 2023-04-24 Claudia Bongiovanni , Nikolas Geroliminis , Mor Kaspi

Stochastic convex optimization problems with nonlinear functional constraints are ubiquitous in signal processing applications including constrained least-squares, set-membership adaptive filtering, and trajectory optimization under…

Optimization and Control · Mathematics 2025-12-16 Panchajanya Sanyal , Srujan Teja Thomdapu , Ketan Rajawat

An optimization problem considering AC power flow constraints and integer decision variables can usually be posed as a mixed-integer quadratically constrained quadratic program (MIQCQP) problem. In this paper, first, a set of valid linear…

Optimization and Control · Mathematics 2015-09-18 Qifeng Li

This paper provides an overview, analysis, and comparison of second-order dynamic optimization algorithms, i.e., constrained Differential Dynamic Programming (DDP) and Sequential Quadratic Programming (SQP). Although a variety of these…

Optimization and Control · Mathematics 2026-01-05 Yuichiro Aoyama , Oswin So , Augustinos D. Saravanos , Evangelos A. Theodorou

In electrical distribution grids, the constantly increasing number of power generation devices based on renewables demands a transition from a centralized to a distributed generation paradigm. In fact, power injection from Distributed…

Systems and Control · Computer Science 2017-06-30 Riccardo Bonetto , Michele Rossi , Stefano Tomasin , Carlo Fischione

We propose a sequential quadratic programming (SQP) method that can incorporate adaptive sampling for stochastic nonsmooth nonconvex optimization problems with upper-C^2 objectives. Upper-$\Ctwo$ functions can be viewed as…

Optimization and Control · Mathematics 2023-10-17 J. Wang , I. Aravena , C. G. Petra

With the increasing of electric vehicle (EV) adoption in recent years, the impact of EV charging activities to the power grid becomes more and more significant. In this article, an optimal scheduling algorithm which combines smart EV…

Optimization and Control · Mathematics 2017-03-16 Yingqi Xiong , Bin Wang , Chi-cheng Chu , Rajit Gadh

In this study, a microgrid with storage (battery, hot water tank) and solar panel is considered. We benchmark two algorithms, MPC and SDDP, that yield online policies to manage the microgrid, and compare them with a rule based policy. Model…

Optimization and Control · Mathematics 2022-05-17 François Pacaud , Pierre Carpentier , Jean-Philippe Chancelier , Michel de Lara

In this paper, we consider the problem of optimally coordinating the response of a group of distributed energy resources (DERs) in distribution systems by solving the so-called optimal power flow (OPF) problem. The OPF problem is concerned…

Systems and Control · Computer Science 2020-05-07 Madi Zholbaryssov , Alejandro D. Dominguez-Garcia

Advances in microgrids powered by Distributed Energy Resources (DERs) make them an attractive response capability for improving the resilience of electricity distribution networks (DNs). This paper presents an approach to evaluate the value…

Optimization and Control · Mathematics 2019-05-13 Devendra Shelar , Saurabh Amin , Ian Hiskens