Second-Order Continuous-Time Algorithms for Economic Power Dispatch in Smart Grids

This paper proposes two second-order continuous-time algorithms to solve the economic power dispatch problem in smart grids. The collective aim is to minimize a sum of generation cost function subject to the power demand and individual generator constraints. First, in the framework of nonsmooth anal...

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Published inIEEE transactions on systems, man, and cybernetics. Systems Vol. 48; no. 9; pp. 1482 - 1492
Main Authors Xing He, Ho, Daniel W. C., Tingwen Huang, Junzhi Yu, Abu-Rub, Haitham, Chaojie Li
Format Journal Article
LanguageEnglish
Published New York IEEE 01.09.2018
The Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Subjects
Algorithm design and analysis
Algorithms
Computer simulation
Convergence
Economic dispatch
Economics
Generators
Graph theory
Optimization
Power dispatch
Robustness (mathematics)
second-order continuous-time algorithm
Smart grid
Smart grids
Online AccessGet full text
ISSN2168-2216
2168-2232
DOI10.1109/TSMC.2017.2672205

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Abstract This paper proposes two second-order continuous-time algorithms to solve the economic power dispatch problem in smart grids. The collective aim is to minimize a sum of generation cost function subject to the power demand and individual generator constraints. First, in the framework of nonsmooth analysis and algebraic graph theory, one distributed second-order algorithm is developed and guaranteed to find an optimal solution. As a result, the power demand constraints can be kept all the time under appropriate initial condition. The second algorithm is under a centralized framework, and the optimal solution is robust in the sense that different initial power conditions do not change the convergence of the optimal solution. Finally, simulation results based on five-unit system, IEEE 30-bus system, and IEEE 300-bus system show the effectiveness and performance of the proposed continuous-time algorithms. The examples also show that the convergence rate of second-order algorithm is faster than that of first-order distributed algorithm.
AbstractList This paper proposes two second-order continuous-time algorithms to solve the economic power dispatch problem in smart grids. The collective aim is to minimize a sum of generation cost function subject to the power demand and individual generator constraints. First, in the framework of nonsmooth analysis and algebraic graph theory, one distributed second-order algorithm is developed and guaranteed to find an optimal solution. As a result, the power demand constraints can be kept all the time under appropriate initial condition. The second algorithm is under a centralized framework, and the optimal solution is robust in the sense that different initial power conditions do not change the convergence of the optimal solution. Finally, simulation results based on five-unit system, IEEE 30-bus system, and IEEE 300-bus system show the effectiveness and performance of the proposed continuous-time algorithms. The examples also show that the convergence rate of second-order algorithm is faster than that of first-order distributed algorithm.
Author Chaojie Li
Abu-Rub, Haitham
Ho, Daniel W. C.
Junzhi Yu
Xing He
Tingwen Huang
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  surname: Tingwen Huang
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  surname: Junzhi Yu
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  surname: Chaojie Li
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  email: cjlee.cqu@163.com
  organization: Sch. of Electr. & Comput. Eng., RMIT Univ., Melbourne, VIC, Australia
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Snippet This paper proposes two second-order continuous-time algorithms to solve the economic power dispatch problem in smart grids. The collective aim is to minimize...
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SubjectTerms Algorithm design and analysis
Algorithms
Computer simulation
Convergence
Economic dispatch
Economics
Generators
Graph theory
Optimization
Power dispatch
Robustness (mathematics)
second-order continuous-time algorithm
Smart grid
Smart grids
Title Second-Order Continuous-Time Algorithms for Economic Power Dispatch in Smart Grids
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