REAL-TIME PRICING METHOD FOR SMART GRID BASED ON SOCIAL WELFARE MAXIMIZATION MODEL

被引:16
作者
Yang, Yanxue [1 ]
Du, Shou-Qiang [1 ]
Chen, Yuanyuan [1 ]
机构
[1] Qingdao Univ, Sch Math & Stat, Qingdao 266071, Peoples R China
关键词
Real-time pricing; smart grid; social welfare maximization; smoothing conjugate gradient method; PARTICLE SWARM OPTIMIZATION; CONJUGATE-GRADIENT METHOD; TRUST REGION ALGORITHM; GLOBAL CONVERGENCE; LOAD CONTROL;
D O I
10.3934/jimo.2022039
中图分类号
T [工业技术];
学科分类号
08 ;
摘要
With the applications of big data, the research of real-time pric-ing method for smart grid has become increasingly important. Based on the demand side management and the real-time pricing model, the social wel-fare maximization model of smart grid is considered. We transform it by Karush-Kuhn-Tucker condition, then the social welfare maximization model is transformed into a nonsmooth equation by Fischer-Burmeister function. Then, taking advantage of simple calculation and small storage, we propose a new smoothing conjugate gradient method to solve real-time pricing problem for smart grid based on the social welfare maximization. Under general condi-tions, the global convergence of the new proposed method is proved. Finally, the numerical simulation results show the effectiveness of the proposed method for solving the real-time pricing problems for smart grid based on the social welfare maximization.
引用
收藏
页码:2206 / 2225
页数:20
相关论文
共 48 条
[1]   Exploiting damped techniques for nonlinear conjugate gradient methods [J].
Al-Baali, Mehiddin ;
Caliciotti, Andrea ;
Fasano, Giovanni ;
Roma, Massimo .
MATHEMATICAL METHODS OF OPERATIONS RESEARCH, 2017, 86 (03) :501-522
[2]   Generalized symmetric ADMM for separable convex optimization [J].
Bai, Jianchao ;
Li, Jicheng ;
Xu, Fengmin ;
Zhang, Hongchao .
COMPUTATIONAL OPTIMIZATION AND APPLICATIONS, 2018, 70 (01) :129-170
[3]   Pseudonormality and a Lagrange multiplier theory for constrained optimization [J].
Bertsekas, DP ;
Ozdaglar, AE .
JOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS, 2002, 114 (02) :287-343
[4]   A penalized Fischer-Burmeister NCP-function [J].
Chen, BT ;
Chen, XJ ;
Kanzow, C .
MATHEMATICAL PROGRAMMING, 2000, 88 (01) :211-216
[5]   Global and superlinear convergence of the smoothing Newton method and its application to general box constrained variational inequalities [J].
Chen, X ;
Qi, L ;
Sun, D .
MATHEMATICS OF COMPUTATION, 1998, 67 (222) :519-540
[6]   Smoothing methods for nonsmooth, nonconvex minimization [J].
Chen, Xiaojun .
MATHEMATICAL PROGRAMMING, 2012, 134 (01) :71-99
[7]   Theoretical and Practical Convergence of a Self-Adaptive Penalty Algorithm for Constrained Global Optimization [J].
Costa, M. Fernanda P. ;
Francisco, Rogerio B. ;
Rocha, Ana Maria A. C. ;
Fernandes, Edite M. G. P. .
JOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS, 2017, 174 (03) :875-893
[8]  
Cottle RW., 1992, The linear complementarity problem
[9]   A nonlinear conjugate gradient method with a strong global convergence property [J].
Dai, YH ;
Yuan, Y .
SIAM JOURNAL ON OPTIMIZATION, 1999, 10 (01) :177-182
[10]   Global convergence of a modified spectral FR conjugate gradient method [J].
Du, Shou-qiang ;
Chen, Yuan-yuan .
APPLIED MATHEMATICS AND COMPUTATION, 2008, 202 (02) :766-770