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A novel incremental cost consensus approach for distributed economic dispatch over directed communication topologies in a smart grid

  • Optimization
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Abstract

This paper deals with the distributed economic dispatch problem (EDP) using incremental cost (IC) consensus approach for multiple distributed generators (DGs) integrated in a smart grid under supply-demand constraint. The communication topology between DGs has been considered as directed, and a novel communication scenario based on smart meters, global positioning system, and an existing graph (rather than a new communication topology for supply-demand balance) has been considered. It also relaxes the assumption of initial supply-demand balance for the consensus of ICs. Based on an additional feedback mechanism, it is shown that the consensus between incremental costs and tracking control of supply-demand in smart grid paradigm can be achieved by virtue of the proposed communication mechanism and the resultant coordination protocol. The proposed approach has been modified to cater for load/transmission system losses and measurement errors by formulating a modified EDP problem, with the addition of a parameter for compensation of losses and errors. In contrast to existing methods, the proposed distributed optimization approach via IC consensus is based on a directed communication topology, and it provides an efficient handling of supply-demand balance. In addition, novel distributed optimization methods for the conventional undirected graphs for a smart grid can be attained as a specific scenario to deal with the initial balance assumption of supply and demand. The proposed approach has been applied for distributed optimization in a smart grid and simulation results under different scenarios are provided.

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Funding

The research work of first author was funded by Higher Education Commission (HEC) Pakistan under Indigenous PhD Fellowships, Phase-II.

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Authors and Affiliations

  1. Department of Electrical Engineering, Pakistan Institute of Engineering and Applied Sciences, Islamabad, Pakistan

    Um-E-Habiba Alvi, Waqas Ahmed, Muhammad Rehan, Shakeel Ahmed, Rizwan Ahmad & Ijaz Ahmed

Authors
  1. Um-E-Habiba Alvi
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  2. Waqas Ahmed
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  3. Muhammad Rehan
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  4. Shakeel Ahmed
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  5. Rizwan Ahmad
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  6. Ijaz Ahmed
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Correspondence to Waqas Ahmed.

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Alvi, UEH., Ahmed, W., Rehan, M. et al. A novel incremental cost consensus approach for distributed economic dispatch over directed communication topologies in a smart grid. Soft Comput 26, 6685–6700 (2022). https://doi.org/10.1007/s00500-022-07061-4

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