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The non-linearity and non-convexity of power flow models and the phasecoupling challenge the analysis and optimization of unbalanced distributionnetworks. To tackle the challenges, this paper proposes an onlinefeedback-based linearized power flow model for unbalanced distribution networkswith both wye-connected and delta-connected loads. The online feedback-basedlinearized model is grounded on the first-order Taylor expansion of the branchflow model, and updates the model parameters via online feedback by leveragingthe instantaneous measured voltages and load consumption at the previous timestep. Its closed-loop nature can asymptotically mitigate the model mismatch,thus lending itself to a good performance. In addition, exploiting theconnection structure of unbalanced radial distribution networks, we provide aunified matrix-vector compact form of the proposed linearized power flow model.Finally, the numerical tests on the IEEE 123-bus test system validate theeffectiveness and superiority of the proposed model. A simple optimal powerflow case is also provided to illustrate the application of the onlinefeedback-based linearized model.

An Online Feedback-Based Linearized Power Flow Model for Unbalanced Distribution Networks