Article
Management
Ines Soares, Maria Joao Alves, Carlos Henggeler Antunes
Summary: This paper introduces a deterministic bounding procedure for the global optimization of a mixed-integer bi-level programming problem, focusing on a case study in the electricity retail market. The algorithm proposed generates convergent upper and lower bounds using optimal-value-function reformulations based on similar principles, to effectively deal with the problem.
EUROPEAN JOURNAL OF OPERATIONAL RESEARCH
(2021)
Article
Energy & Fuels
Yasoda Kailasa Gounder, Sowkarthika Subramanian
Summary: This research presents an optimization method for residential community microgrid, which includes minimizing operating cost and emissions using mixed integer linear programming algorithm, creating flexible generation-demand model with demand response, and scheduling household appliances with a special knapsack method. The results demonstrate that this method can meet user demands and reduce operating costs.
INTERNATIONAL JOURNAL OF ENERGY RESEARCH
(2022)
Article
Engineering, Electrical & Electronic
Amid Shahbazi, Jamshid Aghaei, Sasan Pirouzi, Taher Niknam, Miadreza Shafie-khah, Joao P. S. Catalao
Summary: This paper introduces an optimal framework for resilience-oriented design in distribution networks to protect against extreme weather events and minimize associated costs. The approach considers various factors and utilizes advanced computational methods to achieve a globally optimal solution.
ELECTRIC POWER SYSTEMS RESEARCH
(2021)
Article
Engineering, Environmental
Aly-Joy Ulusoy, Herman A. Mahmoud, Filippo Pecci, Edward C. Keedwell, Ivan Stoianov
Summary: This paper investigates control and design-for-control strategies to improve the resilience of sectorized water distribution networks (WDN) while minimizing pressure induced pipe stress and leakage. The authors propose a sequential hybrid method that combines evolutionary algorithms and gradient-based mathematical optimization for optimal design-for-control of large-scale WDNs. The results show that the proposed method increases the resilience of the network and efficiently improves the initial approximation computed by the evolutionary algorithm search.
Article
Energy & Fuels
Scholastica N. Emenike, Anastasia Ioannou, Gioia Falcone
Summary: This paper proposes a novel approach to optimize the resilience and sustainability of the natural gas supply chain by introducing an additional workflow design. The model is applied to a real case in Nigeria and demonstrates significant performance improvements in both steady and transient states of the system.
ENERGY SOURCES PART B-ECONOMICS PLANNING AND POLICY
(2022)
Article
Computer Science, Software Engineering
Adam N. Letchford, Qiang Ni, Zhaoyu Zhong
Summary: This paper discusses a new type of bi-perspective function and its application in solving problems with fractional objectives and indicator variables simultaneously, proposing a new kind of cutting planes called Bi-P-cuts, which typically close a substantial proportion of the integrality gap.
MATHEMATICAL PROGRAMMING
(2021)
Article
Mathematics, Applied
Kurt M. Anstreicher
Summary: This method utilizes the computational power of modern MILP solvers to test if a given matrix is copositive by solving a single mixed-integer linear programming problem. Numerical experiments demonstrate that the method is robust and efficient.
LINEAR ALGEBRA AND ITS APPLICATIONS
(2021)
Article
Mathematics, Applied
Prerna, Vikas Sharma
Summary: This paper discusses a bi-objective integer linear programming problem (BILP) and effectively implements the epsilon-constraint method to generate a complete set of non-dominated points. The convergence of the algorithm has been theoretically established and a comparative study with existing algorithms has also been conducted.
Article
Energy & Fuels
Wenwen Mei, Zhiyuan Sun, Yuanjian He, Mosi Liu, Xianfu Gong, Peijie Li
Summary: Developing a minimum backbone grid is beneficial for improving the resilience of the power system. A mixed integer linear programming model is proposed to obtain the minimum backbone grid with network connectivity constraints. Linear constraints based on single-commodity flow formulations are introduced to ensure the connectivity of the backbone grid and avoid islands. Simulations on real power systems demonstrate that the proposed model can efficiently solve large-scale systems and generate a smaller minimum backbone grid compared to existing methods.
FRONTIERS IN ENERGY RESEARCH
(2023)
Article
Automation & Control Systems
Rubens J. M. Afonso, Roberto K. H. Galvao
Summary: This note addresses the problem of crossing a target set between sample instants under the influence of bounded unknown disturbances. The proposed solution utilizes mixed-integer linear programming and is less conservative compared to the standard approach of imposing pointwise-in-time constraints at the sample instants.
INTERNATIONAL JOURNAL OF ROBUST AND NONLINEAR CONTROL
(2021)
Article
Thermodynamics
Karl Vilen, Erik O. Ahlgren
Summary: Most computer models used in energy systems optimization modeling studies are constructed using linear equations. However, linear equations may not adequately reflect real-world conditions and are less suitable for representing individual-scale technologies in local system studies. This study investigates the differences in heating solutions and model solution times for a local expanding heating system. The results show that the use of district heating is higher for cost structures that use mixed integer linear programming. On the other hand, the solution time is significantly shorter for linear formulations compared to mixed integer linear formulations.
Article
Green & Sustainable Science & Technology
Xinyu Wu, Yiyang Wu, Xilong Cheng, Chuntian Cheng, Zehong Li, Yongqi Wu
Summary: Optimizing hydro unit commitment has the potential to improve water use efficiency, but it is necessary to consider complex constraints from power grid, hydropower station, and unit operation. To overcome the problem of conflicting constraints leading to no feasible solution, a constraint grading principle is proposed to convert hard constraints into soft constraints and rank them in priority levels. The proposed method effectively solves the problem of no feasible solution due to conflicting constraints in HUC.
Article
Automation & Control Systems
Andrea Camisa, Giuseppe Notarstefano
Summary: This article discusses the distributed control of microgrids, taking into account the unpredictability of renewable energy sources. A distributed methodology based on neighboring communication is proposed and its effectiveness is verified through numerical experiments.
IEEE TRANSACTIONS ON CONTROL SYSTEMS TECHNOLOGY
(2023)
Article
Computer Science, Interdisciplinary Applications
Alexander J. Zolan, Michael S. Scioletti, David P. Morton, Alexandra M. Newman
Summary: Microgrids are often used in remote areas, with newer models combining photovoltaic cells and batteries as a more cost-effective distributed energy system. A mathematical model seeks to optimize microgrid design and power dispatch for a small remote site, achieving solutions within a short period of time through innovative problem-solving strategies.
INFORMS JOURNAL ON COMPUTING
(2021)
Article
Automation & Control Systems
Rubens J. M. Afonso, Roberto K. H. Galvao, Gabriel A. Souza, Marcos R. O. A. Maximo, Angelo Caregnato-Neto
Summary: This note discusses the problem of k-hop connectivity in a network of mobile agents. It proposes linear constraints and binary optimization variables to ensure k-hop connectivity, which are integrated into a mixed-integer linear programming (MILP) trajectory planning model. Simulation results demonstrate the application of the proposed method and the impact of varying k in a mission involving multiple targets.
INTERNATIONAL JOURNAL OF ROBUST AND NONLINEAR CONTROL
(2023)
Article
Engineering, Electrical & Electronic
Ali Vafamehr, Mohammad E. Khodayar, Saeed D. Manshadi, Ishfaq Ahmad, Jeremy Lin
IEEE TRANSACTIONS ON SMART GRID
(2019)
Article
Engineering, Electrical & Electronic
Saeed D. Manshadi, Mohammad E. Khodayar
IEEE TRANSACTIONS ON SMART GRID
(2019)
Article
Engineering, Electrical & Electronic
Saeed D. Manshadi, Guangyi Liu, Mohammad E. Khodayar, Jianhui Wang, Renchang Dai
JOURNAL OF MODERN POWER SYSTEMS AND CLEAN ENERGY
(2019)
Article
Computer Science, Information Systems
Saeed D. Manshadi, Guangyi Liu, Mohammad E. Khodayar, Jianhui Wang, Renchang Dai
IEEE SYSTEMS JOURNAL
(2020)
Article
Engineering, Electrical & Electronic
Sunghwan Bae, Saeed D. Manshadi
IEEE TRANSACTIONS ON INSTRUMENTATION AND MEASUREMENT
(2020)
Article
Engineering, Electrical & Electronic
Saeed D. Manshadi, Mohammad E. Khodayar
IEEE TRANSACTIONS ON VEHICULAR TECHNOLOGY
(2020)
Article
Engineering, Electrical & Electronic
Mahdi Kohansal, Ashkan Sadeghi-Mobarakeh, Saeed D. Manshadi, Hamed Mohsenian-Rad
Summary: Convergence bidding, also known as virtual bidding, is a market mechanism implemented by Independent System Operators in electricity markets to lower the price gap between day-ahead and real-time markets. Strategic CBs can maximize profit and affect price gaps, with their performance influenced by uncertainties in demand, generation bids, and system contingencies.
IEEE TRANSACTIONS ON POWER SYSTEMS
(2021)
Article
Engineering, Electrical & Electronic
Arash Farokhi Soofi, Saeed D. Manshadi, Guangyi Liu, Renchang Dai
Summary: This article introduces a convex relaxation approach to address the non-convexity in power flow problems and proposes a convex constraint to enforce the sum of voltage angles within cycles to be zero. By applying second-order cone constraints, the computational burden of leveraging the higher-order moment relaxation is effectively reduced.
IEEE TRANSACTIONS ON SMART GRID
(2021)
Article
Engineering, Electrical & Electronic
Muhammad Waseem, Saeed D. Manshadi
Summary: This paper proposes a reformulation for AGC in a decomposed convex relaxation algorithm that finds an optimal solution to the secure ACOPF problem. It separates preventive actions from corrective actions and demonstrates its effectiveness and scalability through case studies.
INTERNATIONAL TRANSACTIONS ON ELECTRICAL ENERGY SYSTEMS
(2021)
Article
Green & Sustainable Science & Technology
Reza Sabzehgar, Diba Zia Amirhosseini, Saeed D. Manshadi, Poria Fajri
Summary: This study aims to minimize the cost of installing and operating renewable energy resources and energy storage systems over a 20-year period through a long-term planning optimization framework using a Second Order Cone Programming algorithm. The research evaluates the performance, effectiveness, and economic profits of different battery technologies.
Article
Environmental Sciences
Hassan Tavakol-Davani, Michael Violante, Saeed Manshadi
Summary: This multidisciplinary research aims to assess and reduce the probability of utility pole failure caused by flooding through an optimization framework. By utilizing conventional hydrological, hydrostatic, and geotechnical calculations, the flow rates that lead to utility pole overturn can be determined, and the most cost-efficient subterranean pipe network configuration can be created to redirect flood waters. The implementation of this optimization model in different watersheds demonstrated its effectiveness in preventing utility pole failure.
Article
Engineering, Electrical & Electronic
Reza Bayani, Saeed D. Manshadi
Summary: Natural gas-fired generation units can hedge against uncertain renewable generation and it's crucial to accurately capture the natural gas network dynamics. The study compares the merit of the non-convex transient model with the simplified Weymouth equation, showing the drawbacks of the latter. A convex relaxation scheme is proposed for solving the non-linear and non-convex gas operation problem efficiently, improving optimality and solution time.
IEEE TRANSACTIONS ON SMART GRID
(2022)
Article
Engineering, Electrical & Electronic
Arash Farokhi Soofi, Saeed D. Manshadi
Summary: This paper presents a framework to solve the strategic bidding problem of participants in an electricity market by employing the full AC Optimal Power Flow (ACOPF) problem formulation. Using tractable mathematical programming with equilibrium constraints for the convexified AC market-clearing problem, market participants can maximize their profit via strategic bidding while considering the reactive power dispatch of generation units. Results show that the strategic bidding problem with an ACOPF-based MCP improves the exactness of the Location Marginal Prices (LMPs) and profit of market participants compared to the one with DCOPF.
INTERNATIONAL JOURNAL OF ELECTRICAL POWER & ENERGY SYSTEMS
(2022)
Article
Computer Science, Information Systems
Reza Bayani, Muhammad Waseem, Saeed D. Manshadi, Hassan Davani
Summary: This paper proposes a method for wildfire risk aware operation planning problem (WRAP) that quantifies the risk of wildfire ignition by individual power lines under extreme weather conditions using machine learning techniques. The results show that WRAP performs better than the naive PSPS approach and another method in the literature in mitigating wildfire risk and serving customers.
IEEE SYSTEMS JOURNAL
(2023)
Article
Engineering, Electrical & Electronic
Abbas Shahbazian, Alireza Fereidunian, Saeed D. Manshadi
IEEE TRANSACTIONS ON SMART GRID
(2020)