CONVEXIFICATION

作品数:13被引量:55H指数:3
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相关领域:理学更多>>
相关期刊:《CSEE Journal of Power and Energy Systems》《Chinese Annals of Mathematics,Series B》《Journal of the Operations Research Society of China》《Astrodynamics》更多>>
相关基金:国家自然科学基金更多>>
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Hop-to-Hug algorithm:Novel strategy to stable cutting-plane algorithm based on convexification of yield functions
《Journal of Rock Mechanics and Geotechnical Engineering》2025年第4期2041-2058,共18页Yanbin Chen Yuanming Lai Enlong Liu 
supported by the National Natural Science Foundation of China (Grant Nos.12372376 and U22A20596).
Numerical challenges,incorporating non-uniqueness,non-convexity,undefined gradients,and high curvature,of the positive level sets of yield function are encountered in stress integration when utilizing the return-mappi...
关键词:Elastoplastic model Constitutive model integration Cutting-plane algorithm Geotechnical analysis Finite element method(FEM) 
Convexification of Hybrid AC-DC Optimal Power Flow with Line-Commutated Converters
《CSEE Journal of Power and Energy Systems》2024年第2期617-628,共12页Hongyuan Liang Zhigang Li J.H.Zheng Q.H.Wu 
supported by the National Natural Science Foundation of China under Grant 52177086;the Fundamental Research Funds for the Central Universities under Grant 2023ZYGXZR063;the Science and Technology Program of Guizhou Power Grid Coorperation under Grant GZKJXM20222386.
Line-commutated converter (LCC)-based high-voltage DC (HVDC) systems have been integrated with bulk AC power grids for interregional transmission of renewable power. The nonlinear LCC model brings additional nonconvex...
关键词:AC-DC power system convex relaxation linecommutated converter optimal power flow second-order cone programming 
Convexification Technique for Optimal Thermal-Wind-Photovoltaic Coordination Dispatch Incorporating an Energy Storage System
《CSEE Journal of Power and Energy Systems》2023年第6期2130-2143,共14页Haoxin Wang Libao Shi 
National Natural Science Foundation of China(51777103).
This paper proposes a solution to implementing acoordinated optimal day-ahead dispatch in a hybrid thermalwind-photovoltaic power system incorporating an energy storagesystem (ESS). Our aim is to minimize total genera...
关键词:CONVEXIFICATION coordinated dispatch energy storage system photovoltaic power wind power 
Data-driven Convexification for Frequency Nadir Constraint of Unit Commitment被引量:1
《Journal of Modern Power Systems and Clean Energy》2023年第5期1711-1717,共7页Yukang Shen Wenchuan Wu Bin Wang Yue Yang Yi Lin 
supported in part by the S&T Project of State Grid Corporation of China “Learning based Renewable Cluster Control and Coordinated Dispatch”(No. 5100-202199512A-0-5-ZN)。
The increasing penetration of the renewable energy sources brings new challenges to the frequency security of power systems. In order to guarantee the system frequency security, frequency constraints are incorporated ...
关键词:Unit commitment frequency constraint support vector machine(SVM) data-driven convexification 
Strong observability as a sufficient condition for non-singularity and lossless convexification in optimal control with mixed constraints
《Control Theory and Technology》2022年第4期475-487,共13页Sheril Kunhippurayil Matthew W.Harris 
The second author was partially funded by ONR Grant N00014-22-1-2131.
This paper analyzes optimal control problems with linear time-varying dynamics defined on a smooth manifold in addition to mixed constraints and pure control constraints.The main contribution is the identification of ...
关键词:Optimal control Strong observability Lossless convexification 
On Convexification for a Class of Global Optimization Problems
《Journal of the Operations Research Society of China》2022年第3期427-446,共20页Qian Yan Xin-Min Yang Zhi-You Wu 
founded by the National Natural Science Foundation of China(Nos.11991024,11871128,and 11771064).
In this paper,firstly,we give a counterexample to point out there exist deficiencies in our previous works(Wu et al.in J Glob Optim 31:45-60,2005).In addition,we improve the corresponding results.Finally,an example is...
关键词:Global optimization DEFICIENCY COUNTEREXAMPLE Monotone optimization Convexification method 
Convex optimization of virtual storage system scheduling in market environment被引量:3
《Journal of Modern Power Systems and Clean Energy》2019年第6期1735-1739,共5页Peng HOU Junjie HU Guangya YANG 
supported by Energy Technology Development and Demonstration Program(No.EUDP171:(12551));National Natural Science Foundation of China(No.51877078).
Due to the popularization of distributed energy resources(DERs),the aggregated prosumer effect excels a general energy storage system characteristic.Virtual energy storage system(VESS)concept is proposed hereby that m...
关键词:Virtual energy storage system(VESS) CONVEXIFICATION MIXED linear programming(MILP) Complimentary MATHEMATICAL PROOF 
Survey of convex optimization for aerospace applications被引量:44
《Astrodynamics》2017年第1期23-40,共18页Xinfu Liu Ping Lu Binfeng Pan 
the National Natural Science Foundation of China(Grant No.61603017).
Convex optimization is a class of mathematical programming problems with polynomial complexity for which state-of-the-art, highly efficient numerical algorithms with predeterminable computational bounds exist. Computa...
关键词:convex optimization optimal control CONVEXIFICATION convex relaxation 
Image meshing via hierarchical optimization被引量:1
《Frontiers of Information Technology & Electronic Engineering》2016年第1期32-40,共9页Hao XIE Ruo-feng TONG 
supported by the National Natural Science Foundation of China(No.61170141);the National High-Tech R&D Program(863)of China(No.2013AA013903)
Vector graphic, as a kind of geometric representation of raster images, has many advantages, e.g.,definition independence and editing facility. A popular way to convert raster images into vector graphics is image mesh...
关键词:IMAGE meshing  HIERARCHICAL optimization  CONVEXIFICATION 
A General Class of Convexification Transformation for the Noninferior Frontier of a Multiobjective Program
《American Journal of Operations Research》2013年第3期387-392,共6页Tao Li Yanjun Wang Zhian Liang 
A general class of convexification transformations is proposed to convexify the noninferior frontier of a multiobjective program. We prove that under certain assumptions the noninferior frontier could be convexified c...
关键词:Noninferior FRONTIER CONVEXIFICATION Weighting Method MULTIOBJECTIVE Optimization 
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