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Showing 1-25 of 4,388 resultsfor "Index Terms":Mixed-integer Nonlinear Programming Problem
"Index Terms":Mixed-integer Nonlinear Programming Problem
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A Branch and Bound Algorithm for Transmission Network Expansion Planning Using Nonconvex Mixed-Integer Nonlinear Programming Models
Reinaldo T. Zoppei;Marcos A. J. Delgado;Leonardo H. Macedo;Marcos J. Rider;Rubén Romero
The branch and bound (BB) algorithm is widely used to obtain the global solution of mixed-integer linear programming (MILP) problems. On the other hand, when the traditional BB structure is directly used to solve nonconvex mixed-integer nonlinear programming (MINLP) problems, it becomes ineffective, mainly due to the nonlinearity and nonconvexity of the feasible region of the problem. This article...Show More
To handle the detrimental effects brought by leakage of radioactive gases at nuclear power station, we propose a bus based evacuation optimization problem. The proposed model incorporates the following four constraints, 1) the maximum dose of radiation per evacuee, 2) the limitation of bus capacity, 3) the number of evacuees at demand node (bus pickup stop), 4) evacuees balance at demand and shelt...Show More
A Branch and Bound algorithm to solve nonconvex MINLP problems via novel division strategy: An electric power system case study
Marcos André de Jesus Delgado;Mahdi Pourakbari-Kasmaei;Marcos Julio Rider
This paper presents two Branch and Bound algorithms (B&B) for solving mixed-integer nonlinear programming (MINLP) problems with nonconvex search space. The main advantage of the proposed algorithms, comparing with the commonly used B&B algorithms, is using an innovative way of variables' separation and subproblems' division while, if necessary, one more variable is used in the separation process. ...Show More
The concept of demand response (DR) market, which recently introduced, is a comprehensive approach to schedule DR. DR market is a separate market in which DR is treated as a virtual resource to be exchanged between DR buyers and sellers. The major advantage of the DR market in comparison to other DR proposals is that it allocates benefits and payments across all participants, fairly. However, ther...Show More
Security-Constrained Energy Management System for Microgrids Under Uncertainty
Jéssica Alice Alves da Silva;Juan Camilo López;Nataly Bañol Arias;Marcos Julio Rider;Luiz Carlos Pereira da Silva
2020 IEEE PES Transmission & Distribution Conference and Exhibition - Latin America (T&D LA)
Year: 2020 | Conference Paper |
This paper presents a stochastic mixed-integer nonlinear programming model (MINLP) for the security-constrained energy management system (EMS) of microgrids under demand and renewable generation uncertainties. Considering a balanced single-phase representation of the network, the proposed MINLP model is transformed into a mixed-integer second-order cone programming (MISOCP) model that can be solve...Show More
Phaser measurement units (PMUs) provide synchronized measurements of voltage and current phasors and can make state estimation more accurate. The objective of optimal PMU placement (OPP) problem is to minimize the number of PMUs required for the system to be completely observable. This paper presents two different formulations of optimal PMU placement (OPP) problem: mixed integer linear programmin...Show More
A modified Branch and Bound algorithm to solve the transmission expansion planning problem
2013 13th International Conference on Environment and Electrical Engineering (EEEIC)
Year: 2013 | Conference Paper |
Cited by: Papers (6)
In this paper a novel Branch and Bound (B&B) algorithm to solve the transmission expansion planning which is a non-convex mixed integer nonlinear programming problem (MINLP) is presented. Based on defining the options of the separating variables and makes a search in breadth, we call this algorithm a B&BML algorithm. The proposed algorithm is implemented in AMPL and an open source Ipopt solver is ...Show More
In this paper, we consider an optimization problem solving for model predictive control (MPC) of a modular multilevel converter (MMC). An MMC consists of a large number of submodules. The objective of the MPC is to determine the best switching sequences for the submodules in the MMC to track the phase current references for T time horizons. The MPC is formulated as a nonlinear mixed-integer progra...Show More
An MISOCP-Based Solution Approach to the Reactive Optimal Power Flow Problem
In this letter, we present an alternative mixed-integer non-linear programming formulation of the reactive optimal power flow (ROPF) problem. We utilize a mixed-integer second-order cone programming (MISOCP) based approach to find global optimal solutions of the proposed ROPF problem formulation. We strengthen the MISOCP relaxation via the addition of convex envelopes and cutting planes. Computati...Show More
Global optimization of mixed-integer nonlinear programming for engineering design problems
Proceedings 2011 International Conference on System Science and Engineering
Year: 2011 | Conference Paper |
Cited by: Papers (2)
This study utilizes an efficient global optimization method to solve engineering design problems involving nonconvex functions and mixed variables such as integer, discrete and continuous variables. The problems are usually formulated as mixed-integer nonlinear programming problems. Although many optimization approaches have been developed to solve mixed-integer nonlinear programming problems, the...Show More
Optimal Dispatch of a Standalone PV-Diesel-Battery Microgrid using Non-Commercial MINLP Solvers
2022 International Conference on Industrial Engineering, Applications and Manufacturing (ICIEAM)
Year: 2022 | Conference Paper |
The paper presents an approach to optimize the dispatch of a standalone microgrid consisting of diesel generators, photovoltaic modules, and battery storage units. The day-ahead unit commitment and economic dispatch of an example microgrid are formulated in the form of a mixed-integer nonlinear programming (MINLP) problem. The objective function of the optimization problem was defined as a daily s...Show More
A Large-Scale Test System for Transmission Expansion Planning with AC Networks Model
2022 IEEE Texas Power and Energy Conference (TPEC)
Year: 2022 | Conference Paper |
Cited by: Papers (4)
It is more realistic and consistent with the electrical energy flow laws to model transmission expansion planning problems with an AC network representation (ACTEP). In this paper, we propose a new large-scale test system for ACTEP studies. The proposed 1354-bus ACTEP system is based on Case1354pegase available in MATPOWER. The system is modified to be useful for ACTEP studies, and the candidate l...Show More
An efficient global optimization approach for solving mixed-integer nonlinear programming problems
The 40th International Conference on Computers & Indutrial Engineering
Year: 2010 | Conference Paper |
Cited by: Papers (2)
Mixed-integer nonlinear programming (MINLP) problems involving general constraints and objective functions with continuous and integer variables occur frequently in engineering design, chemical process industry and management. Although many optimization approaches have been developed for MINLP problems, these methods can only find a local or approximate solution or use too many extra binary variab...Show More
Mixed integer nonlinear programming for the three-dimensional aircraft conflict avoidance problem
2021 33rd Chinese Control and Decision Conference (CCDC)
Year: 2021 | Conference Paper |
In this paper, the problem of aircraft conflict avoidance is studied arising in Air Traffic Management systems. The initial configuration of all aircraft including position, velocities, heading angles, altitude and flight trajectories are known, and they are assumed to fly within a shared three-dimensional airspace. The aim of the problem is to find an optimal conflict avoidance strategy for the a...Show More
A Novel Linear Optimal Power Flow Model for Three-Phase Electrical Distribution Systems
Juan S. Giraldo;Pedro P. Vergara;Juan Camilo López;Phuong H. Nguyen;Nikolaos G. Paterakis
2020 International Conference on Smart Energy Systems and Technologies (SEST)
Year: 2020 | Conference Paper |
Cited by: Papers (7)
This paper presents a new linear optimal power flow model for three-phase unbalanced electrical distribution systems considering binary variables. The proposed formulation is a mixed-integer linear programming problem, aiming at minimizing the operational costs of the network while guaranteeing operational constraints. Two new linearizations for branch current and nodal voltage magnitudes are intr...Show More
Dispatch of Integrated Energy Systems Considering Thermal Dynamics of Thermal Energy Storage
Shuai Lu;Wei Gu;Shuai Yao;Guangsheng Pan;Ke Meng;Zhao Yang Dong
2020 IEEE Power & Energy Society General Meeting (PESGM)
Year: 2020 | Conference Paper |
The integrated energy systems (IESs) have obtained lots of attention from academia and industry. In the operation of IESs, the thermal energy storage (TES) is believed to have great prospects for its lower investment cost but higher energy storage capacity, but the thermal dynamics of the interior storage medium is often ignored in the operation of IESs. This paper proposes a thermal dynamic model...Show More
An Exact MILP Model for the Clearing of a Zonal Electricity Market with Uniform Purchase Price: Results and Comparison with Existing Approaches
Dario Siface;Paolo Pisciella;Federica Davò;Maria Teresa Vespucci
2018 15th International Conference on the European Energy Market (EEM)
Year: 2018 | Conference Paper |
Cited by: Papers (3)
The Italian day-ahead electricity market is a zonal market with a national uniform purchase price, called PUN (in Italian “Prezzo Unico Nazionale”). The clearing of such a market is based on linear programming techniques, where primal variables represent quantities of traded energy and dual variables represent prices. Since the PUN cannot be expressed as a linear combination of primal or dual vari...Show More
Efficiency improvement in explicit enumeration for integer programming problems
2013 IEEE International Conference on Industrial Engineering and Engineering Management
Year: 2013 | Conference Paper |
Cited by: Papers (15)
An integer programming problem is a mathematical optimization or feasibility program in which some or all of the variables are restricted to be integers. In many cases, the problems can be divided into integer linear programming (ILP) problems and integer non-linear programming (INLP) problems. A more complex problems are mixed integer programming (MIP) problems. There are many algorithms to well ...Show More
Vulnerability-Constrained Transmission Expansion Planning: A Stochastic Programming Approach
This paper provides a stochastic programming approach to optimally reinforce and expand the transmission network so that the impact of deliberate attacks is mitigated. The network planner selects the new lines to be built accounting for the vulnerability of the transmission network against a set of credible intentional outages. The vulnerability of the transmission network is measured in terms of ...Show More
Mixed-integer programming based techniques for resource allocation in underlay cognitive radio networks: A survey
For about the past decade and a half research efforts into cognitive radio networks (CRNs) have increased dramatically. This is because CRN is recognized as a technology that has the potential to squeeze the most out of the existing spectrum and hence virtually increase the effective capacity of a wireless communication system. The resulting increased capacity is still a limited resource and its o...Show More
Mixed-integer nonlinear programming: Some modeling and solution issues
We examine various aspects of modeling and solution via mixed-integer nonlinear programming (MINLP). MINLP has much to offer as a powerful modeling paradigm. Recently, significant advances have been made in MINLP solution software. To fully realize the power of MINLP to solve complex business optimization problems, we need to develop knowledge and expertise concerning MINLP modeling and solution m...Show More
A Mixed Integer Linear Programming Model for the Distribution Network Reconfiguration Problem
Aghyles Graine;Nour Karnib;Jean-Paul Gaubert;Antoine Bertout;Emmanuel Grolleau;Didier Larraillet
2023 IEEE 11th International Conference on Systems and Control (ICSC)
Year: 2023 | Conference Paper |
Cited by: Papers (2)
This paper proposes a novel model for the Distribution Network Reconfiguration (DNR) Problem. The DNR consists of altering the state of the switches (opening or closing them) in the network to obtain a different topology, thus modifying the flow of power in the network. This optimization problem is often formulated to minimize the losses in the network and can be combined with other objectives as ...Show More
This paper deals with Benders' Decomposition techniques applied to Volt Var Control algorithms for MV distribution networks. This partitioning technique helps to solve certain classes of Mixed Integer Nonlinear Programming problems with decomposable structure. Therefore, this approach can be applied to the standard case of Volt Var Control algorithms in distribution systems which use continuous an...Show More
Algorithms for Optimal Power Flow in Isolated Distribution Networks Using Different Battery Energy Storage Models
2020 IEEE Power & Energy Society Innovative Smart Grid Technologies Conference (ISGT)
Year: 2020 | Conference Paper |
Cited by: Papers (9)
Battery energy storage systems (BESS) are crucial for remote communities operating isolated distribution networks (IDNs) that are transitioning from dependence on diesel generators to renewable energy sources for their energy needs. Since renewable energy sources are variable, these isolated communities still depend on diesel generators during periods when the output of renewable resources are low...Show More
This paper presents an algorithm to solve the network transmission system expansion planning problem using the DC model which is a mixed non-linear integer programming problem. The major feature of this work is the use of a Branch- and-Bound (B&B) algorithm to directly solve mixed non-linear integer problems. An efficient interior point method is used to solve the non-linear programming problem at...Show More
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