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This paper presents an efficient Mixed-Integer Nonlinear Programming (MINLP) formulation for systems with discrete control inputs under dwell time constraints. By viewing such systems as a switched system, the problem is decomposed into a…

Optimization and Control · Mathematics 2025-01-10 Ramin Abbasi-Esfeden , Armin Nurkanovic , Moritz Diehl , Panagiotis Patrinos , Jan Swevers

We propose a novel global solution algorithm for the network-constrained unit commitment problem incorporating a nonlinear alternating current model of the transmission network, which is a nonconvex mixed-integer nonlinear programming…

Optimization and Control · Mathematics 2018-11-27 Jianfeng Liu , Anya Castillo , Jean-Paul Watson , Carl D. Laird

Nonlinear power flow constraints render a variety of power system optimization problems computationally intractable. Emerging research shows, however, that the nonlinear AC power flow equations can be successfully modeled using Neural…

Machine Learning · Computer Science 2021-11-01 Alyssa Kody , Samuel Chevalier , Spyros Chatzivasileiadis , Daniel Molzahn

Recently there has been a lot of progress in the development of economic nonlinear model predictive control (NMPC) schemes for multistage optimal power flow (OPF) problems. However, the additional inclusion of discrete decision variables to…

Optimization and Control · Mathematics 2026-05-28 Jürgen Gutekunst , Armin Nurkanovic , Ekaterina Kostina , Hans Georg Bock , Robert Scholz , Amer Mesanovic

This work presents a whole-year simulation study on nonlinear mixed-integer Model Predictive Control (MPC) for a complex thermal energy supply system which consists of a heat pump, stratified water storages, free cooling facilities, and a…

Optimization and Control · Mathematics 2019-05-23 Adrian Bürger , Markus Bohlayer , Sarah Hoffmann , Angelika Altmann-Dieses , Marco Braun , Moritz Diehl

This paper presents a model predictive control (MPC) for dynamic systems whose nonlinearity and uncertainty are modelled by deep neural networks (NNs), under input and state constraints. Since the NN output contains a high-order complex…

Systems and Control · Electrical Eng. & Systems 2024-05-20 Jianglin Lan

We study the routing problem for vehicles with limited energy through a network of inhomogeneous charging nodes. This is substantially more complicated than the homogeneous node case studied in [1]. We seek to minimize the total elapsed…

Optimization and Control · Mathematics 2014-04-25 Sepideh Pourazarm , Christos G. Cassandras

Transmission system operators face a variety of discrete operational decisions, such as switching of branches and/or devices. Incorporating these decisions into optimal power flow (OPF) results in mixed-integer non-linear programming…

Optimization and Control · Mathematics 2025-10-24 Constance Crozier

The high penetration of distributed energy resources, resulting in backfeed of power at the transmission and distribution interface, is causing conventional underfrequency load shedding (UFLS) schemes to become nonconforming. Adaptive…

Systems and Control · Electrical Eng. & Systems 2026-03-20 Muhammad Hamza Ali , Amritanshu Pandey

Gas networks are used to transport natural gas, which is an important resource for both residential and industrial customers throughout the world. The gas network design problem is generally modelled as a nonconvex mixed-integer nonlinear…

Optimization and Control · Mathematics 2024-02-01 Yijiang Li , Santanu S. Dey , Nikolaos V. Sahinidis

This brief deals with the satisfaction of the daily cooling demand by a hybrid system that consists of a vapour-compression refrigeration cycle and a thermal energy storage (TES) unit, based on phase change materials. The addition of the…

Optimization and Control · Mathematics 2024-02-08 G. Bejarano , D. Rodríguez , J. M. Lemos , M. Vargas , M. G. Ortega

The Variable Series Reactors (VSRs) can efficiently control the power flow through the adjustment of the line reactance. When they are appropriately allocated in the power network, the transmission congestion and generation cost can be…

Optimization and Control · Mathematics 2018-01-03 Xiaohu Zhang , Chunlei Xu , Di Shi , Zhiwei Wang , Qibing Zhang , Guodong Liu , Kevin Tomsovic , Aleksandar Dimitrovski

This paper presents a solver-friendly logic-based mixed-integer nonlinear programming model (LB-MINLP) to solve economic dispatch (ED) problems considering disjoint operating zones and valve-point effects. A simultaneous consideration of…

Optimization and Control · Mathematics 2018-10-15 Mahdi Pourakbari-Kasmaei , Mahmud Fotuhi-Firuzabad , Jose Roberto Sanches Mantovani

Mixed-integer nonlinear programs (MINLPs) arise in domains such as energy systems, process engineering, and transportation, and are notoriously difficult to solve at scale due to the interplay of discrete decisions and nonlinear…

Machine Learning · Computer Science 2025-12-16 Bo Tang , Elias B. Khalil , Ján Drgoňa

We present a novel method for mixed-integer optimization problems with multivariate and Lipschitz continuous nonlinearities. In particular, we do not assume that the nonlinear constraints are explicitly given but that we can only evaluate…

Optimization and Control · Mathematics 2023-03-22 Julia Grübel , Richard Krug , Martin Schmidt , Winnifried Wollner

Large-scale strongly nonlinear and nonconvex mixed-integer nonlinear programming (MINLP) models frequently appear in optimisation-based process synthesis, integration, intensification, and process control. However, they are usually…

Optimization and Control · Mathematics 2026-01-06 Yingjie Ma , Jie Li

The problem of joint coordination of plug-in electric vehicles (PEVs) charging and grid power control is to minimize both PEVs charging cost and energy generation cost while meeting both residential and PEVs' power demands and suppressing…

Systems and Control · Computer Science 2018-06-11 Y. Shi , H. D. Tuan , A. V. Savkin

This paper proposes a coordinated optimal scheduling model for hybrid AC/DC microgrids. The objective of the proposed model is to minimize the total microgrid operation cost when considering interactions between AC and DC sub-systems of the…

Systems and Control · Computer Science 2017-11-10 Abdulaziz Alanazi , Hossein Lotfi , Amin Khodaei

This work attempts to combine the strengths of two major technologies that have matured over the last three decades: global mixed-integer nonlinear optimization and branch-and-price. We consider a class of generally nonconvex mixed-integer…

Optimization and Control · Mathematics 2020-01-08 Andrew Allman , Qi Zhang

Corrective Transmission Switching can be used by the grid operator to relieve line overloading and voltage violations, improve system reliability, and reduce system losses. Power grid optimization by means of line switching is typically…

Systems and Control · Computer Science 2018-03-19 Shuai Wang , John Baillieul
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