scholarly journals Efficient trajectory parameterization for environmental optimization of departure flight paths using a genetic algorithm

2016 ◽  
Vol 231 (6) ◽  
pp. 1115-1123 ◽  
Author(s):  
S Hartjes ◽  
HG Visser
Keyword(s):  
Optimization Problem ◽  
Problem Formulation ◽  
Genetic Optimization ◽  
Noise Abatement ◽  
Fuel Burn ◽  
Side Constraints ◽  
Multiparameter Optimization ◽  
Optimization Problem Formulation ◽  
Genetic Optimization Algorithm

In this study, a genetic optimization algorithm is applied to the design of environmentally friendly aircraft departure trajectories. The environmental optimization has been primarily focused on noise abatement and local NOx emissions, whilst taking fuel burn into account as an economical criterion. In support of this study, a novel parameterization approach has been conceived for discretizing the lateral and vertical flight profiles, which reduces the need to include nonlinear side constraints in the multiparameter optimization problem formulation, while still permitting to comply with the complex set of operational requirements pertaining to departure procedures. The resulting formulation avoids infeasible solutions and hence significantly reduces the number of model evaluations required in the genetic optimization process. The efficiency of the developed approach is demonstrated in a case study involving the design of a noise abatement departure procedure at Amsterdam Airport Schiphol in The Netherlands.

scholarly journals Optimization-Based Formulations for Short-Circuit Studies with Inverter-Interfaced Generation in PowerModelsProtection.jl

Energies ◽  
2021 ◽  
Vol 14 (8) ◽  
pp. 2160
Author(s):  
Arthur K. Barnes ◽  
Jose E. Tabarez ◽  
Adam Mate ◽  
Russell W. Bent
Keyword(s):  
Optimization Problem ◽  
Short Circuit ◽  
Problem Formulation ◽  
Power Delivery ◽  
Fault Current ◽  
Protective Device ◽  
Protective Relaying ◽  
Overcurrent Protection ◽  
Short Circuits ◽  
Optimization Problem Formulation

Protecting inverter-interfaced microgrids is challenging as conventional time-overcurrent protection becomes unusable due to the lack of fault current. There is a great need for novel protective relaying methods that enable the application of protection coordination on microgrids, thereby allowing for microgrids with larger areas and numbers of loads while not compromising reliable power delivery. Tools for modeling and analyzing such microgrids under fault conditions are necessary in order to help design such protective relaying and operate microgrids in a configuration that can be protected, though there is currently a lack of tools applicable to inverter-interfaced microgrids. This paper introduces the concept of applying an optimization problem formulation to the topic of inverter-interfaced microgrid fault modeling, and discusses how it can be employed both for simulating short-circuits and as a set of constraints for optimal microgrid operation to ensure protective device coordination.

Optimization Problem Formulation

2016 ◽  
pp. 47-61
Author(s):  
Javier Contreras ◽  
Miguel Asensio ◽  
Pilar Meneses de Quevedo ◽  
Gregorio Muñoz-Delgado ◽  
Sergio Montoya-Bueno
Keyword(s):  
Optimization Problem ◽  
Problem Formulation ◽  
Optimization Problem Formulation

Predictive Control of a Laboratory Time Delay Process Experiment

2013 ◽  
Vol 11 (1) ◽  
pp. 29-36
Author(s):  
S. Enev
Keyword(s):  
Time Delay ◽  
Predictive Control ◽  
Control Algorithm ◽  
Optimization Problem ◽  
Problem Formulation ◽  
Practical Implementation ◽  
Control Law ◽  
Design And Implementation ◽  
Optimization Problem Formulation ◽  
Laboratory Time

Abstract The paper presents the design and implementation of a Model Predictive Control (MPC) scheme of a laboratory heatexchange process with a significant time delay in the input-output path. The optimization problem formulation is given and an MPC control algorithm is designed, achieving integral properties. Details, related to the practical implementation of the control law are discussed and the first experimental results are presented.

A nonlinear optimization shooting method for bifurcation tracking of nonlinear systems

2020 ◽  
pp. 107754632095674
Author(s):  
Haitao Liao ◽  
Mengyu Li ◽  
Ruxin Gao
Keyword(s):  
Periodic Solution ◽  
Optimization Problem ◽  
Continuation Method ◽  
Problem Formulation ◽  
Correlation Equation ◽  
Jeffcott Rotor ◽  
Optimization Formulation ◽  
Bifurcation Detection ◽  
Tuned Vibration Absorber ◽  
Optimization Problem Formulation

A continuation method for bifurcation tracking is presented based on the proposed optimization problem formulation which is designed to locate the bifurcation periodic solution. The bifurcation detection problem is formulated as a constrained optimization problem. The nonlinear constraints of the optimization problem are imposed on the shooting function and bifurcation conditions derived from the Floquet theory whereas the objective function associated with the pseudo-arclength correlation equation is devised to solution continuation. The proposed optimization formulation is integrated with the prediction–correction strategy to achieve bifurcation tracking. Two numerical examples about the Jeffcott rotor and the nonlinear tuned vibration absorber are illustrated to validate the effectiveness of the proposed methodology. Numerical results have demonstrated that the proposed method offers a convenient scheme to follow bifurcation periodic solution.

Design of Compliant Mechanical Amplifiers for Piezoceramic Stack Actuators Considering Stiffness Properties

2000 ◽  
Author(s):  
Mary Frecker ◽  
Shawn Canfield
Keyword(s):  
Optimization Problem ◽  
Piezoelectric Properties ◽  
Compliant Mechanism ◽  
Problem Formulation ◽  
Optimization Method ◽  
Unit Load ◽  
Coupling Structure ◽  
Stiffness Properties ◽  
Constant Unit ◽  
Optimization Problem Formulation

Abstract A topology optimization method for design of compliant mechanical amplifiers for piezoceramic stack actuators is presented. Previously the optimization was done assuming that the stack actuator provided a constant unit load to the compliant mechanism. However, it is well known that the best actuator performance occurs when the stiffness of the stack is considered and matches the stiffness of the surrounding coupling structure. In this paper an improved formulation is presented where the piezoelectric properties and stiffness of the stack are included along with an external spring representing a resisting load the actuator is working against. The optimization problem formulation, finite element implementation, solution algorithm are discussed. Two design examples are presented which illustrate the effect of the stiffness of the external spring and the size of the design domain on the topology of the solution.

scholarly journals Optimization problem formulation framework with application to engineering systems

2017 ◽  
Vol 20 (6) ◽  
pp. 512-528
Author(s):  
William A. Crossley ◽  
Siyao Luan ◽  
James T. Allison ◽  
Deborah L. Thurston
Keyword(s):  
Optimization Problem ◽  
Problem Formulation ◽  
Engineering Systems ◽  
Optimization Problem Formulation
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