Filter methods were initially designed for nonlinear programming problems by Fletcher and Leyffer. In this paper we propose a secant algorithm with line search filter method for nonlinear equality constrained optimiza...
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Filter methods were initially designed for nonlinear programming problems by Fletcher and Leyffer. In this paper we propose a secant algorithm with line search filter method for nonlinear equality constrained optimization. The algorithm yields the global convergence under some reasonable conditions. By using the Lagrangian function value in the filter we establish that the proposed algorithm can overcome the Maratos effect without using second order correction step, so that fast local superlinear convergence to second order sufficient local solution is achieved. The primary numerical results are presented to confirm the robustness and efficiency of our approach. (C) 2010 Elsevier Inc. All rights reserved.
This paper formulates and analyzes a line search method for general nonlinear equalityconstrained optimization based on filter methods for step acceptance and secant methods for *** feature of the new algorithm is tha...
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This paper formulates and analyzes a line search method for general nonlinear equalityconstrained optimization based on filter methods for step acceptance and secant methods for *** feature of the new algorithm is that the secant algorithm is used to produce a searchdirection,a backtracking line search procedure is used to generate step size,some filtered rules areused to determine step acceptance,second order correction technique is used to reduce infeasibility andovercome the Maratos *** convergence properties of this method are analyzed:under mildassumptions it is showed that every limit point of the sequence of iterates generated by the algorithmis feasible,and that there exists at least one limit point that is a stationary point for the ***,it is also established that the Maratos effect can be overcome in our new approach by addingsecond order correction steps so that fast local superlinear convergence to a second order sufficient localsolution is ***,the results of numerical experiments are reported to show the effectivenessof the line search filter secant method.
This paper presents a class of affine-scaling interior-point secant methods in association with filter line search technique for minimization with equality and box constraints. The global convergence properties are an...
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This paper presents a class of affine-scaling interior-point secant methods in association with filter line search technique for minimization with equality and box constraints. The global convergence properties are analyzed. Under some reasonable conditions one shows that the proposed algorithms generate a sequence converging 2-step q-superlinearly. The results of numerical experiments are reported to show the effectiveness of the proposed algorithms.
Global maximum power point tracking (GMPPT) algorithms are employed to extract the maximum available power from the photovoltaic (PV) arrays during partial shading conditions. However, the available GMPPT algorithms i...
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ISBN:
(数字)9781728193878
ISBN:
(纸本)9781728193878
Global maximum power point tracking (GMPPT) algorithms are employed to extract the maximum available power from the photovoltaic (PV) arrays during partial shading conditions. However, the available GMPPT algorithms in the literature have disadvantages such as low convergence rate and requirement to scan for the local peaks. To overcome these drawbacks, this paper presents a fast and simple hybrid GMPPT algorithm, which combines the advantages of the binary search and the secant algorithms. The binary search algorithm is used for the global maximum power point (GMPP) reference generation and the secant algorithm is applied for tracking the generated power reference. The superlinear convergence rate of the secant algorithm and the logarithmic convergence rate of the binary search algorithm aid in fast convergence to the GMPP. The performance of the proposed hybrid GMPPT algorithm is validated through simulations in MATLAB-Simulink and also compared with a conventional GMPPT algorithm.
The importance sampling is merged with directional simulation in this paper. A sampling function is defined on the unit hyper sphere which samples random directions. The directions are sampled around a direction that ...
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The importance sampling is merged with directional simulation in this paper. A sampling function is defined on the unit hyper sphere which samples random directions. The directions are sampled around a direction that aims to the design point. The sampling function uses spherical coordinates to generate random directions. The method is made adaptive by a closed form updating rule to renew the sampling parameters. To reduce the number of calls on the limit state function, a root finding procedure is put forward. The proposed method is tested with well-known test problems and its performance is compared with the conventional directional simulation. The results demonstrate the accuracy and efficiency of the proposed method for rare event estimation. (C) 2017 Elsevier Ltd. All rights reserved.
Power grids with increased penetration of photovoltaic (PV) systems face difficulties such as power quality issues, poor system inertia and voltage fluctuations. Hence, the development of flexible power point tracking...
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ISBN:
(纸本)9798350399882
Power grids with increased penetration of photovoltaic (PV) systems face difficulties such as power quality issues, poor system inertia and voltage fluctuations. Hence, the development of flexible power point tracking (FPPT) algorithms, which controls the PV power output rather than the conventional method of extracting the maximum power, was motivated by the necessity to address these issues. Many FPPT algorithms have been presented in the literature for operation during uniform irradiance condition of the PV modules. Each algorithm has distinct benefits and drawbacks and under a particular circumstances, one algorithm may be preferable to another. This study examines the performance of various FPPT algorithms operating with normal and degraded PV modules. Simulation tests in MATLAB/Simulink and experimental results are taken to study their performances. A detailed comparison based on the algorithm's resilience, convergence rate, complexity, and the ease in obtaining the initial data is then presented.
To provide frequency support in grid-connected photovoltaic (PV) systems with low inertia, flexible power point tracking (FPPT) control algorithms have been developed in the literature. To achieve this, a power refere...
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