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This set of MATLAB codes numerically verify that the Z-Bus method is a contraction mapping on IEEE distribution test networks. Additionally, the Z-Bus load-flow and the Forward-backward sweep load-flow are also implemented.

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The contraction mapping project

This set of MATLAB codes numerically verify that the Z-Bus method is a contraction mapping on IEEE distribution test networks. Additionally, the Z-Bus load-flow and the Forward-backward sweep load-flow are also implemented. See also our three-phase modeling repository. If you are interested in using this material in your research, we kindly request you to cite the following publications:

  1. M. Bazrafshan and N. Gatsis, "Convergence of the Z-Bus Method for Three-Phase Distribution Load-Flow with ZIP Loads," in IEEE Trans. Power Syst., to be published. doi:10.1109/TPWRS.2017.2703835. See the arXiv version.

  2. M. Bazrafshan and N. Gatsis, "On the solution of the three-phase load-flow in distribution networks," in Proc. Asilomar Conf. Signals, Syst., and Computers, Pacific Grove, CA, Nov. 2016.

  3. M. Bazrafshan and N. Gatsis "Convergence of the Z-Bus method and existence of unique solution in single-phase distribution load-flow," in Proc. Global Conf. Signal & Information Proc., Washington, DC, Dec. 2016. See the Presentation slides. See also the appropriate repository for single-phase feeders here

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This set of MATLAB codes numerically verify that the Z-Bus method is a contraction mapping on IEEE distribution test networks. Additionally, the Z-Bus load-flow and the Forward-backward sweep load-flow are also implemented.

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