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A new unidimensional search method for optimization: linear interpolation method

APPLIED MATHEMATICS AND COMPUTATION 2005年第2期171卷 912-926页

作者： Kahya, E Osmangazi Univ Dept Ind Engn TR-26030 Eskisehir Turkey

This paper presents a new unidimensional search method for non-linear and unconstrained optimization based on finding an intersection point of the lines which pass the extreme points of the interval of uncertainty, [a(k),b(k)], and their neighbor points of the function. If f(x) is strictly convex function, the lines intersect at a point between a(k) and b(k). The iteration formula is derived by solving the linear equation. The performance of the new method, named the linear interpolation method, is analyzed in terms of the most popular and widely used criteria;the number of iterations, the number of function evaluations, and the computer (CPU) time in comparison with the most effectual methods such as the Quadratic interpolation, Golden Section, RMS, and AM methods, using 10 test functions. (c) 2005 Elsevier Inc. All rights reserved.

关键词： unconstrained optimization optimization method unidimensional search method linear interpolation method test functions initial interval of uncertainty

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Calculation of Degradation Rates of Poly Crystalline Si and CIGS PV Module using Outdoor linear interpolation method 7

Calculation of Degradation Rates of Poly Crystalline Si and ...

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7th International Conference on Renewable Energy Research and Applications (ICRERA)

作者： Izumi, Yoshiro Ueda, Yuzuru Tokyo Univ Sci Katushika Ku 6-3-1 Niijuku Tokyo 1258585 Japan

ISBN: (纸本)9781538659823

We propose the method to calculate the degradation rate of PV modules by outdoor linear interpolation method (LIM). Since the reference I-V curves which are based on measured I-V curves and used to LIM are created in each season, transitions of expected I-V curves indicate how PV modules degrade. The degradation rates of not only the maximum power but also the other parameters such as short circuit current and open circuit voltage can be calculated from the expected I-V curves. In this paper, the outdoor degradation rates of poly crystalline Si and CIGS were calculated. As a result, in poly crystalline Si case, the degradation rate of maximum power was calculated as -0.4 %/year due to short circuit current reduction. In CIGS case, although the initial power generation performance was better than the datasheet value, the annual degradation rate of the maximum power was calculated as -2.1 %/year. The reason of maximum power reduction was the reduction of both short-circuit current and open-circuit voltage.

关键词： linear interpolation method photovoltaic module degradation poly crystalline silicon CIGS

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Evaluation of PV Module Outdoor Degradation rate by means of I-V Curve Fitting with DE and linear interpolation method 7

Evaluation of PV Module Outdoor Degradation rate by means of...

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7th IEEE World Conference on Photovoltaic Energy Conversion (WCPEC) / A Joint Conference of 45th IEEE PVSC / 28th PVSEC / 34th EU PVSEC

作者： Izumi, Yoshiro Ueda, Yuzuru Tokyo Univ Sci Tokyo 1258585 Japan

ISBN: (纸本)9781538685297

Degradation rates of photovoltaic (PV) modules were calculated by means of linear interpolation method only using outdoor data such as module temperature, solar irradiance, and current-voltage characteristics. This method could quantify not only degradation rates of output power of PV modules but also the others characteristic values such as short-circuit current, open-circuit voltage, and fill factor. As a result, it is revealed that crystalline silicon PV modules are degraded due to current reduction. In addition, relative errors of calculated degradation rate of each characteristic values are within 0.8% in average by comparing with the result of indoor measurement.

关键词： degradation linear interpolation method differential evolution filtering

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Integrated experimental-computational approach for evaluating elastic modulus of cement paste corroded in brine solution on microscale

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CONSTRUCTION AND BUILDING MATERIALS 2018年 162卷 459-469页

作者： Li, Yue Zhang, Guosheng Wang, Zigeng Wang, Peng Guan, Zhongzheng Beijing Univ Technol Key Lab Urban Secur & Disaster Engn Minist Educ Beijing Key Lab Earthquake Engn & Struct Retrofit Beijing 100124 Peoples R China Beijing Univ Technol Coll Architecture & Civil Engn 100 Pingleyuan Beijing Peoples R China

This paper presented an integrated computational-experimental approach for evaluating elastic modulus of cement paste corroded in brine solution on nanoscale. In the first place, the cured specimens were corroded in brine solution at room temperature for 90 days. Subsequently, the elastic moduli of 32 points of the corroded cement paste specimen were measured by nanoindentation test. Then, a three-dimensional nanoindentation model was established with finite element method and modified constitutive relation. The input parameters of the model were calibrated based on the test results and linear interpolation method. Finally, the difference between the simulation results and the experimental results was compared with good agreement. Therefore, the nanoindentation model established in this paper can predict the nanoindentation experiment well and the modified constitutive relation is effective. (C) 2017 Elsevier Ltd. All rights reserved.

关键词： Corroded cement paste Nanoindentation model Elastic modulus Modified constitutive relation linear interpolation method

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Combining linear interpolation with extrapolationmethods in range-separated ensemble density functional theory

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MOLECULAR PHYSICS 2016年第7-8期114卷 968-981页

作者： Senjean, Bruno Hedegard, Erik D. Alam, Md. Mehboob Knecht, Stefan Fromager, Emmanuel Univ Strasbourg CNRS Inst Chim Lab Chim Quant Strasbourg France ETH Phys Chem Lab CH-8092 Zurich Switzerland

The combination of a recently proposed linear interpolation method (LIM), which enables the calculation of weight-independent excitation energies in range-separated ensemble density functional approximations, with the extrapolation scheme of Savin is presented in this work. It is shown that LIM excitation energies vary quadratically with the inverse of the range-separation parameter when the latter is large. As a result, the extrapolation scheme, which is usually applied to long-range interacting energies, can be adapted straightforwardly to LIM. This extrapolated LIM (ELIM) has been tested on a small test set consisting of He, Be, H-2 and HeH+. Relatively accurate results have been obtained for the first singlet excitation energies with the typical = 0.4 value. The improvement of LIM after extrapolation is remarkable, in particular for the doubly excited 2(1)sigma(+)(g) state in the stretched H-2 molecule. Three-state ensemble calculations in H-2 also show that ELIM does not necessarily improves relative excitation energies, even though individual excitation energies are more accurate after extrapolation. Finally, an alternative decomposition of the short-range ensemble exchange-correlation energy is proposed in order to correct for ghost-interaction errors in multi-determinant range-separated ensemble density functional theory calculations. The implementation and calibration of such a scheme are currently in progress. [GRAPHICS] .

关键词： Ensemble density functional theory range separation linear interpolation method ghost interaction

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Prediction of distortion in a thin-plate structure with intermittent fillet joints using a local-to-global approach

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JOURNAL OF MANUFACTURING PROCESSES 2023年 99卷 718-734页

作者： Liu, Rui Sun, Yu Ni, Jun Nanjing Univ Sci & Technol Sch Mech Engn Nanjing 210094 Peoples R China

Fillet welds by intermittent welding are widely used in the welding of centrifugal fans, such as attaching a fan blade to the rear plate. The intermittent welding method transforms the full-length continuous weld into multiple short welds to minimize distortion by reducing the total heat input for a welded joint to control welding distortion. An infinite number of short welds are created during this process. However, depending on the complexity of the model, the computational cost of predicting welding distortion based on full-scale modeling is considerable. These numerous short welds undoubtedly complicate modeling and computations, limiting rapid distortion prediction for large and complex structures. This study develops an equivalent deformation calculation approach based on a local-to-global technique and applies it to predict distortion of a fillet joint welded spec-imen. The approach consists of two steps. First, the welding-induced structural deformation is calculated for a two-dimensional (2D) weld and a 2D heat-affected zone (local calculation). Second, the 2D structural defor-mation is applied to the full-scale welded structure using a nearest-point spatial interpolation algorithm to ac-quire the three-dimensional (3D) equivalent deformation (global calculation). Note that the weld shape was considered in both local and global calculations. In addition, welding tests were performed, and the coordinates of the key points were measured. The geometric parameters of the welds used in the numerical simulations were obtained from experimental observations. Finally, the key point coordinates obtained by the proposed approach were compared with experimental measurements. Furthermore, the distribution of out-of-plane distortion caused by the new approach was compared with the simulation results of the thermo-elastic-plastic method performed on a full-scale welded structure. The proposed approach can be verified by both comparisons.

关键词： Welding distortion Intermittent welding Weld shape Static finite element analysis linear interpolation method

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Preliminary test study on hysteretic laws of high damping rubber bearings

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MATERIALS RESEARCH INNOVATIONS 2015年第Sup5期19卷 555-560页

作者： Peng, T. Zeng, Z. Tang, W. Sun, B. Tongji Univ State Key Lab Disaster Reduct Civil Engn Shanghai 200092 Peoples R China Tongji Univ Coll Civil Engn Shanghai 200092 Peoples R China

High damping rubber bearings contain quite complex hysteretic behaviours, which cannot be represented accurately by a simple model. For seismic response analyses of structures supported and isolated by high damping rubber bearings, an accurate model is necessary to characterise the hysteretic laws correctly. Hysteretic performance tests were carried out and some hysteretic laws found from the test results include: the hysteretic loop of high damping rubber bearings is symmetrical in the positive and negative directions and a hysteretic envelope loop is found;for different hysteretic loops starting at the same loading location, the increasing tendency of the shear force is similar in the beginning while a certain difference is found at the end;hysteretic curves between two existing ones could be calculated by the linear interpolation method. These laws would be conducive to a more accurate hysteretic model to analyse the dynamic response of high damping rubber bearings.

关键词： High damping rubber bearing Hysteretic performance test Hysteretic loop Hysteretic law linear interpolation method

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Formation Optimization Of RoboCup3D Soccer Robots Using Delaunay Triangulation Network 30

Formation Optimization Of RoboCup3D Soccer Robots Using Dela...

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30th Chinese Control and Decision Conference (CCDC)

作者： He, Keji Liang, Zhiwei Cui, Tongxin Ke, Zhiying Liu, Zichang Zhao, Qian Fang, Fang Nanjing Univ Posts & Telecommun Coll Automat Nanjing 210046 Peoples R China Southeast Univ Sch Automat Key Lab Measurement & Control CSE Nanjing Jiangsu Peoples R China

ISBN: (纸本)9781538612446

In RoboCup3D robot simulation platform, team collaboration plays an important role in order to win a game. This paper proposes a novel method of team formation design. Firstly, the Delaunay triangulation method is applied to divide the football field into small triangular parts. Then, the SBSP mechanism for the team is employed to choose a reasonable formation. Subsequently, the linear interpolation method is used to calculate robots' positions in different formations with data set given beforehand. As a result, the team can get the most optimal formation for the football in different positions. The experimental results demonstrate the effectiveness of our methods.

关键词： RoboCup Soccer robots Delaunay triangulation SBSP mechanism Formation design linear interpolation method

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Super-Resolutions based on Shock Filter and Non Local Means with BM3D for Congruity

Super-Resolutions based on Shock Filter and Non Local Means ...

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IEEE Region 10 Conference (TENCON)

作者： Iwamoto, Ken Yoshida, Taichi Ikehara, Masaaki Keio Univ Dept Elect & Elect Engn Kawasaki Kanagawa 2238522 Japan

ISBN: (纸本)9781479940752

In this paper, we propose two kind of image super-resolution methods based on the shock filter and non local means(NLM). One is a method using shock filter to enhance the high frequency components. Another is a method using NLM based on self similarity of images. Compared with interpolation, super-resolution should produce high resolution images by correctly generating their missing high frequency components. The shock filter based method only applies the shock filter to the high frequency components of an enlarged image by the linear interpolation method. Since the proposed method effectively enhances the sharpness of edges and avoids the over enhancement of texture and smooth regions, the enlarged image is natural and the computational complexity is very low. The NLM based method achieves a high resolution image by using self similarity. It is possible to reduce computational complexity and get good quality of the image by the similarity between the low and high resolution images. In order to improve the quality further, we utilize BM3D which is used in denoising for the super-resolution based on image congruity. In simulations, the proposed method objectively and perceptually shows better results than the conventional method.

关键词： computational complexity filtering theory image enhancement image resolution interpolation BM3D NLM high resolution images image congruity image self-similarity image superresolution methods linear interpolation method nonlocal means shock filter Electric shock Frequency estimation Image edge detection Image resolution interpolation Noise Signal resolution

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An Analysis of Influence on Nonnavigable Shallow Areas Using Different methods to Interpolate Depths 2

An Analysis of Influence on Nonnavigable Shallow Areas Using...

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Proceedings Second IEEE International Conference on Spatial Data Mining and Geographical Knowledge Services (ICSDM)

作者： Wang, Tao Zhang, Lihua Peng, Rencan Jia, Shuaidong Cao, Hongbo Dong, Jian Dalian Naval Acad Dept Hydrog & Cartog Jiefang Rd 667 Dalian Liaoning Peoples R China PLA Key Lab Hydrog Surveying & Mapping Dalian Liaoning Peoples R China

ISBN: (纸本)9781479977499

Currently, various water depth interpolation methods used to construct nonnavigable shallow areas are simply and indiscriminatingly used without taking their respective adaptabilities into consideration. Firstly, three typical methods used to estimate a water depth at an arbitrary position on a chart are summarized as follows: (1) estimating the depth with the shallowest depth of the three vertexes of a triangle;(2) estimating the depth with linearly interpolated by the depths of the three vertexes of a triangle;(3) estimating the depth with linearly interpolated by the depths of the three vertexes of a triangle as well as the node depths of isobaths. Correspondingly, three methods, namely is shallowest interpolation method, linear interpolation method, and additional interpolation method, are proposed for constructing nonnavigable shallow areas based on three aforementioned different ideas. Finally, the adaptability of the three different interpolation methods used to construct nonnavigable shallow areas is analyzed. The experimental results demonstrate that (1) the shallowest interpolation method can ensure the navigation safety better than the other two methods, and linear interpolation method is worse than the shallowest interpolation method, and the additional interpolation method is the worst. Besides, the shallowest interpolation method loses most utilizing rate of the navigable resource, and linear interpolation method is less than the shallowest interpolation method, and additional interpolation method is the least. (2) In the areas of the narrow straits or waterways on small-scale chart or medium-scale chart, both shallowest interpolation method and linear interpolation method may make some mistakes that some areas in the narrow straits or waterways are nonnavigable, whereas additional interpolation method can express nonnavigable shallow areas correctly.

关键词： Nonnavigable shallow areas shallowest interpolation method linear interpolation method additional interpolation method navigation safety utilizing rate of the navigable resource

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