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SSRN 2023年

作者： Tkachuk, Mykola Tkachuk, Anton National Technical University "Kharkiv Polytechnical Institute" Institute of Education and Science in Mechanical Engineering and Transport KharkivUA-61002 Ukraine Karlstad University Department of Engineering and Physics KarlstadSE-658 88 Sweden

A new model for irreversible large deformations of ber networks is developed. The bers are considered as inextensible cables that slide relative to each other in the frictional junctions. This sliding is constituted by a rate-independent ow rule. The nonsmooth dissipation potential for each sliding system is de ned as a product of the yield strength and the absolute value of the ber sliding. The response of the cable segments itself is nonsmooth as well, since it shows asymmetry with respect to tension and compression. A principle of minimum potential energy and a pure complementary energy principle are derived for the equilibrium incremental loading of the network at large deformations. They form a pair of primal and dual second-order cone programming problems with matching sets of displacement-based and force-based variables. These problems can be effectively solved by interior point methods that have many advantages compared to the gradient-based methods or dynamic relaxation. The model is extended by a simple mechanism of ber pull-out resulting from ber sliding at the free unconstrained ends. This can be used for the microstructural analysis of failure of needlepuched nonwoven materials. © 2023, The Authors. All rights reserved.

关键词： second-order cone programming

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A novel second-order cone programming support vector machine model for binary data classification

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JOURNAL OF INTELLIGENT & FUZZY SYSTEMS 2020年第3期39卷 4505-4513页

作者： Dong, Guishan Mu, Xuewen Xidian Univ Sch Math & Stat Xian Shaanxi Peoples R China

The support vector machine is a classification approach in machine learning. The second-order cone optimization formulation for the soft-margin support vector machine can ensure that the misclassification rate of data points do not exceed a given value. In this paper, a novel second-order cone programming formulation is proposed for the soft-margin support vector machine. The novel formulation uses the l(2)-norm and two margin variables associated with each class to maximize the margin. Two regularization parameters alpha and beta are introduced to control the trade-off between the maximization of margin variables. Numerical results illustrate that the proposed second-order cone programming formulation for the soft-margin support vector machine has a better prediction performance and robustness than other second-order cone programming support vector machine models used in this article for comparision.

关键词： Support vector machine second-order cone programming binary data classification

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A Novel Echo Separation Scheme for Space-Time Waveform-Encoding SAR Based on the second-order cone programming (SOCP) Beamformer

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REMOTE SENSING 2022年第22期14卷 5888-5888页

作者： Han, Shuo Deng, Yunkai Wang, Wei Zhao, Qingchao Qiu, Jinsong Zhang, Yongwei Chen, Zhen Univ Chinese Acad Sci Sch Elect Elect & Commun Engn Beijing 100190 Peoples R China Chinese Acad Sci Aerosp Informat Res Inst Dept Space Microwave Remote Sensing Syst Beijing 100190 Peoples R China

Space-time waveform-encoding (STWE)-synthetic aperture radar (SAR) is an effective way to accomplish high-resolution and wide-swath (HRWS) imaging. By designing the specific signal transmit mode, the echoes from several subswaths are received within a single receiving window and overlap each other in STWE-SAR. In order to separate the overlapped echoes, the linear-constrained minimum variance (LCMV) beamformer, a single-null beamformer, is typically used. However, the LCMV beamformer has a very narrow and unstable notch depth, which is not sufficient to accurately separate the overlapped echoes with large signal energy differences between subswaths. The issue of signal energy differences in STWE-SAR is first raised in this paper. Moreover, a novel echo separation scheme based on a second-order cone programming (SOCP) beamformer is proposed. The beam pattern generated by the SOCP beamformer allows flexible adjustment of the notch width and depth, which effectively improves the quality of separation results compared to the LCMV beamformer. The simulation results illustrate that the scheme can greatly enhance the performance of echo separation. Furthermore, the experimental results based on the X-band STWE-SAR airborne system not only demonstrate the scheme's effectiveness but also indicate that it holds great promise for future STWE-SAR missions.

关键词： synthetic aperture radar high-resolution and wide-swath digital beamforming space-time waveform-encoding echo separation second-order cone programming

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New Energy Reactive Power Optimization Based on second-order cone programming

New Energy Reactive Power Optimization Based on Second-order...

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2021 IEEE Sustainable Power and Energy Conference, iSPEC 2021

作者： Man, Xu Ruifang, Zhang Mengdi, Dai Jian, Xu Siyang, Liao Electric Power Research Institute State Grid Jibei Electric Power Company Beijing China Wuhan University School of Electrical Engineering and Automation Wuhan China

ISBN: (纸本)9781665414395

With the development of science and technology, new energy power generation has gradually emerged in the power energy market. It has many advantages, for example, it can effectively alleviate the problems caused by energy depletion, and it has the advantages of renewable and environmental protection, but there are also some problems. Due to its own instability and randomness, it will bring problems such as voltage flicker. Therefore, this article focuses on studying the problems of voltage control and reactive power optimization in coordination with the grid after new energy sources are connected to the grid. This paper uses IEEE33 as the basic model for research, and takes the minimum network loss and the minimum voltage deviation as the objective function to solve the problem under various operating constraints. This paper introduces a second-order cone optimization method, which finally proves the promotion effect of new energy grid connection on reactive power optimization. © 2021 IEEE.

关键词： second-order cone programming

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The Variant of Primal Simplex-Type Method for Linear second-order cone programming 12th

The Variant of Primal Simplex-Type Method for Linear Second-...

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12th International Conference on Optimization and Applications, OPTIMA 2021

作者： Zhadan, Vitaly Federal Research Center "Computer Science and Control" of the Russian Academy of Sciences 40 Vavilova Street Moscow119333 Russia

ISBN: (纸本)9783030910587

The linear second-order cone programming problem is considered. For its solution the variant of the primal simplex-type method is proposed. The notion of the S -extreme point of the feasible set is introduced. Among all S -extreme points the regular S -extreme points are regarded separately. The passage from the regular S -extreme point to another one is described. The method can be treated as the generalization of the primal simplex-type method for linear programming. At each iteration the dual variable together with the dual weak variable are defined. As in linear programming, the basis of the extreme point is used. Among all basic variables the facet basic variables and the interior basic variable are selected. © 2021, Springer Nature Switzerland AG.

关键词： second-order cone programming

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A second-order sequential optimality condition for nonlinear second-order cone programming problems

arXiv

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arXiv 2023年

作者： Fukuda, Ellen H. Okabe, Kosuke Graduate School of Informatics Kyoto University Kyoto606–8501 Japan

In the last two decades, the sequential optimality conditions, which do not require constraint qualifications and allow improvement on the convergence assumptions of algorithms, had been considered in the literature. It includes the work by Andreani et al. (2017), with a sequential optimality condition for nonlinear programming, that uses the second-order information of the problem. More recently, Fukuda et al. (2023) analyzed the conditions that use second-order information, in particular for nonlinear second-order cone programming problems (SOCP). However, such optimality conditions were not defined explicitly. In this paper, we propose an explicit definition of approximateKarush-Kuhn-Tucker 2 (AKKT2) and complementary-AKKT2 (CAKKT2) conditions for SOCPs. We prove that the proposed AKKT2/CAKKT2 conditions are satisfied at local optimal points of the SOCP without any constraint qualification. We also present two algorithms that are based on augmented Lagrangian and sequential quadratic programming methods and show their global convergence to points satisfying the proposed *** Codes 90C46, 90C30 © 2023, CC BY.

关键词： second-order cone programming

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Graph-Based second-order cone programming Model for Resilient Feeder Routing Using GIS Data

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IEEE TRANSACTIONS ON POWER DELIVERY 2020年第4期35卷 1999-2010页

作者： Mehrtash, Mahdi Kargarian, Amin conejo, Antonio J. Louisiana State Univ Elect & Comp Engn Dept Baton Rouge LA 70803 USA Ohio State Univ Elect & Comp Engn Dept Columbus OH 43210 USA Ohio State Univ Integrated Syst Engn Dept Columbus OH 43210 USA

One important task in power distribution system expansion planning is feeder routing (FR), which is to determine the optimal route from a medium voltage substation to load points and the optimal size of the conductors to be installed. This paper proposes a novel graph-based model for the resilient feeder routing problem using geographical information system (GIS). We show that incorporating GIS data enhances the FR solution optimality. Moreover, by introducing a representing graph, radiality of the planned network is guaranteed. A second-order cone programming (SOCP) model is used to model power flows through feeders. Since the representing graph ensures radiality, the SOCP model is exact. The uncertainty of rooftop solar generations and demand forecasting errors are taken into account, and a stochastic programming-based solution algorithm is developed. The proposed model represents practical aspects such as economic objectives (installation cost, power losses, resiliency), technical constraints (voltage limits, radiality constraint, reliability), and geographical constraints. The efficiency of the algorithm is demonstrated using three case studies: a small test system, a realistic one, and a synthetic large test system.

关键词： Geographic information systems Resilience Routing Conductors programming Planning Load flow Distribution network expansion planning feeder routing geographical information system resiliency second-order cone programming

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A Design Algorithm of Fractional Delay Filter based on second-order cone programming 7

A Design Algorithm of Fractional Delay Filter based on Secon...

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7th International Conference on Computer and Communications, ICCC 2021

作者： Kexin, Jia Rubin, Zhang East China Research Institute of Electronic Engineering Hefei China

ISBN: (纸本)9781665409506

To flexibly control the approximation error of the filter frequency response, a fractional delay filter design algorithm based on second-order cone programming (SCP) is proposed in this paper. On the basis of the weighted least squares (WLS) algorithm, the magnitude and phase frequency response approximation constraints of the filter are firstly added. Then the proposed algorithm models the filter design as a second cone programming based convex optimization problem by linearizing magnitude and phase frequency response approximation constraints, and obtains the global optimal solution of the fractional delay filter coefficient. The simulation examples are presented to show the effectiveness of proposed algorithm. © 2021 IEEE.

关键词： second-order cone programming

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second-order cone programming formulation of discontinuous deformation analysis

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INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN ENGINEERING 2019年第5期118卷 243-257页

作者： Meng, Jingjing Cao, Ping Huang, Jinsong Lin, Hang Chen, Yu Cao, Rihong Cent S Univ Sch Resources & Safety Engn Changsha 410083 Hunan Peoples R China Univ Newcastle ARC Ctr Excellence Geotech Sci & Engn Fac Engn & Built Environm Newcastle NSW Australia

In classic discontinuous deformation analysis (DDA), artificial springs must be employed to enforce the contact condition through the open-close iteration. However, improper stiffness parameters might cause numerical problems. The main goal of this paper is to propose a new framework of DDA using second-order cone programming. The complementarity relationship at contacts can be formulated directly;thus, artificial springs are avoided. Stemming from the equations of momentum conservation of each block, the governing equations of DDA can be cast as convex optimization problems. The basic variables in the formulations can be either block displacements or contact forces. The derived optimization problems can be reformulated into a standard second-order cone programming program, which can be solved using standard efficient optimization solvers. The proposed approach is validated by a series of numerical examples.

关键词： contact problems discontinuous deformation analysis discrete element method mathematical programming second-order cone programming

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Day-ahead Optimization Schedule for Gas-electric Integrated Energy System Based on second-order cone programming

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CSEE Journal of Power and Energy Systems 2020年第1期6卷 142-151页

作者： Yonghui Sun Bowen Zhang Leijiao Ge Denis Sidorov Jianxi Wang Zhou Xu College of Energy and Electrical Engineering Hohai UniversityNanjing 210098China DC Operation Maintenance Company of State Grid Hubei Province Electric Power Company Hubei 443000 China School of Electrical and Information Engineering Tianjin UniversityTianjin 300072China Melentiev Energy Systems Institute Russian Academy of SciencesIrkutsk 664033and he is also with Irkutsk National Research Technical UniversityRussia

This paper proposes an optimal day-ahead opti-mization schedule for gas-electric integrated energy system(IES)considering the bi-directional energy *** hourly topology of electric power system(EPS),natural gas system(NGS),energy hubs(EH)integrated power to gas(P2G)unit,are modeled to minimize the day-ahead operation cost of ***,a second-order cone programming(SOCP)method is utilized to solve the optimization problem,which is actually a mixed integer nonconvex and nonlinear programming ***,cutting planes are added to ensure the exactness of the global optimal ***,simulation results demonstrate that the proposed optimization schedule can provide a safe,effective and economical day-ahead scheduling scheme for gas-electric IES.

关键词： Day-ahead optimization schedule integrated energy system natural gas system second-order cone programming

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