An ADMM-Based Distributed Algorithm for Economic Dispatch in Islanded Microgrids

In this paper, based on an alternating direction method of multipliers (ADMM), a novel distributed algorithm is proposed to address the economic dispatch problem (EDP) in islanded microgrids. Unlike most of the existing studies that investigate the EDP with quadratic cost functions, the algorithm pr...

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Published in:	IEEE transactions on industrial informatics Vol. 14; no. 9; pp. 3892 - 3903
Main Authors:	Chen, Gang, Yang, Qing
Format:	Journal Article
Language:	English
Published:	Piscataway IEEE 01.09.2018 The Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Subjects:	Algorithm design and analysis Algorithms Alternating direction method of multipliers (ADMM) consensus Convergence Convex functions Cost function distributed algorithm Distributed algorithms economic dispatch Electric power grids microgrid Microgrids Power dispatch
ISSN:	1551-3203, 1941-0050
Online Access:	Get full text
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Abstract	In this paper, based on an alternating direction method of multipliers (ADMM), a novel distributed algorithm is proposed to address the economic dispatch problem (EDP) in islanded microgrids. Unlike most of the existing studies that investigate the EDP with quadratic cost functions, the algorithm proposed in this paper is able to solve the EDP with general convex cost functions. Moreover, by using the center-free algorithm and the projection method, the traditional centralized ADMM is extended to the distributed implementation framework, and a fully distributed solution to the EDP is obtained. Furthermore, the proposed algorithm can deal with both equality and inequality constraints in the EDP, and the supply-demand balance can be guaranteed at any time provided that the sum of initial power outputs is equal to the total demand. The convergence property of the proposed algorithm is strictly proved. Finally, some examples are provided to further demonstrate the effectiveness of the proposed algorithm.
AbstractList	In this paper, based on an alternating direction method of multipliers (ADMM), a novel distributed algorithm is proposed to address the economic dispatch problem (EDP) in islanded microgrids. Unlike most of the existing studies that investigate the EDP with quadratic cost functions, the algorithm proposed in this paper is able to solve the EDP with general convex cost functions. Moreover, by using the center-free algorithm and the projection method, the traditional centralized ADMM is extended to the distributed implementation framework, and a fully distributed solution to the EDP is obtained. Furthermore, the proposed algorithm can deal with both equality and inequality constraints in the EDP, and the supply–demand balance can be guaranteed at any time provided that the sum of initial power outputs is equal to the total demand. The convergence property of the proposed algorithm is strictly proved. Finally, some examples are provided to further demonstrate the effectiveness of the proposed algorithm.
Author	Chen, Gang Yang, Qing
Author_xml	– sequence: 1 givenname: Gang orcidid: 0000-0003-1098-6953 surname: Chen fullname: Chen, Gang email: chengang@cqu.edu.cn organization: Key Laboratory of Dependable Service Computing in Cyber Physical Society, Ministry of Education, and the College of Automation, Chongqing University, Chongqing, China – sequence: 2 givenname: Qing surname: Yang fullname: Yang, Qing email: yangqingjlu@163.com organization: Key Laboratory of Dependable Service Computing in Cyber Physical Society, Ministry of Education, and the College of Automation, Chongqing University, Chongqing, China
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SubjectTerms	Algorithm design and analysis Algorithms Alternating direction method of multipliers (ADMM) consensus Convergence Convex functions Cost function distributed algorithm Distributed algorithms economic dispatch Electric power grids microgrid Microgrids Power dispatch
Title	An ADMM-Based Distributed Algorithm for Economic Dispatch in Islanded Microgrids
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