Distributed Consensus Based Algorithm for Economic Dispatch in a Microgrid

Economic dispatch problem (EDP) is a fundamental optimization problem of power systems. With the penetration of renewable energy sources in microgrids, this paper proposes a distributed algorithm based on consensus theory to solve the EDP with a quadratic cost function. The method takes advantage of...

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Vydáno v:	IEEE transactions on smart grid Ročník 10; číslo 4; s. 3630 - 3640
Hlavní autoři:	Wang, Rui, Li, Qiqiang, Zhang, Bingying, Wang, Luhao
Médium:	Journal Article
Jazyk:	angličtina
Vydáno:	Piscataway IEEE 01.07.2019 The Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Témata:	Algorithms Communication networks Computer simulation consensus algorithm Convergence Cost function distributed algorithm Distributed algorithms Distributed generation Economic dispatch problem Eigenvalues Eigenvalues and eigenfunctions Electric power grids Feedback Generators Graph theory microgrid Microgrids multi-agent system Optimization Perturbation theory Power dispatch Renewable energy sources Upper bounds
ISSN:	1949-3053, 1949-3061
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Abstract	Economic dispatch problem (EDP) is a fundamental optimization problem of power systems. With the penetration of renewable energy sources in microgrids, this paper proposes a distributed algorithm based on consensus theory to solve the EDP with a quadratic cost function. The method takes advantage of the fact that incremental costs need to be equal for all buses at optimal output power values. Thus, the incremental cost of each bus is selected as a consensus variable and the local mismatch between total demand and generation is assigned as a feedback variable to meet demand constraints. Unlike the existing related works, the feedback gains for the feedback variables are different and time-varying. Using multi-parameter perturbation theory and graph theory, the convergence of the algorithm is proved. Furthermore, the upper bounds of the feedback gains are given theoretically, and we obtain that the algorithm converges to the optimal solution at a rate governed by the second largest eigenvalue of the system matrix. Meanwhile, the algorithm is a fully distributed algorithm without a leader or a virtual command node. The simulation results illustrate the effectiveness of the algorithm even though there is a demand change and generator damage. Some simulation results intuitively illustrate how the convergence speed changes with the feedback gains.
AbstractList	Economic dispatch problem (EDP) is a fundamental optimization problem of power systems. With the penetration of renewable energy sources in microgrids, this paper proposes a distributed algorithm based on consensus theory to solve the EDP with a quadratic cost function. The method takes advantage of the fact that incremental costs need to be equal for all buses at optimal output power values. Thus, the incremental cost of each bus is selected as a consensus variable and the local mismatch between total demand and generation is assigned as a feedback variable to meet demand constraints. Unlike the existing related works, the feedback gains for the feedback variables are different and time-varying. Using multi-parameter perturbation theory and graph theory, the convergence of the algorithm is proved. Furthermore, the upper bounds of the feedback gains are given theoretically, and we obtain that the algorithm converges to the optimal solution at a rate governed by the second largest eigenvalue of the system matrix. Meanwhile, the algorithm is a fully distributed algorithm without a leader or a virtual command node. The simulation results illustrate the effectiveness of the algorithm even though there is a demand change and generator damage. Some simulation results intuitively illustrate how the convergence speed changes with the feedback gains.
Author	Li, Qiqiang Wang, Luhao Zhang, Bingying Wang, Rui
Author_xml	– sequence: 1 givenname: Rui orcidid: 0000-0003-0193-3841 surname: Wang fullname: Wang, Rui email: rwang-2005@163.com organization: School of Control Sciences and Engineering, Shandong University, Jinan – sequence: 2 givenname: Qiqiang orcidid: 0000-0001-9686-9592 surname: Li fullname: Li, Qiqiang email: qqli@sdu.edu.cn organization: School of Control Sciences and Engineering, Shandong University, Jinan – sequence: 3 givenname: Bingying surname: Zhang fullname: Zhang, Bingying email: alicechun95@126.com organization: School of Control Sciences and Engineering, Shandong University, Jinan – sequence: 4 givenname: Luhao surname: Wang fullname: Wang, Luhao email: wlhbeyond@gmail.com organization: School of Control Sciences and Engineering, Shandong University, Jinan
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SubjectTerms	Algorithms Communication networks Computer simulation consensus algorithm Convergence Cost function distributed algorithm Distributed algorithms Distributed generation Economic dispatch problem Eigenvalues Eigenvalues and eigenfunctions Electric power grids Feedback Generators Graph theory microgrid Microgrids multi-agent system Optimization Perturbation theory Power dispatch Renewable energy sources Upper bounds
Title	Distributed Consensus Based Algorithm for Economic Dispatch in a Microgrid
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