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To cope with fast-fluctuating distributed energy resources (DERs) anduncontrolled loads, this paper formulates a time-varying optimization problemfor distribution grids with DERs and develops a novel non-iterative algorithmto track the optimal solutions. Different from existing methods, the proposedapproach does not require iterations during the sampling interval. It onlyneeds to perform a single one-step calculation at each interval to obtain theevolution of the optimal trajectory, which demonstrates fast calculation andonline-tracking capability with an asymptotically vanishing error.Specifically, the designed approach contains two terms: a prediction termtracking the change in the optimal solution based on the time-varying nature ofsystem power, and a correction term pushing the solution toward the optimumbased on Newton's method. Moreover, the proposed algorithm can be applied inthe absence of an accurate network model by leveraging voltage measurements toidentify the true voltage sensitivity parameters. Simulations for anillustrative distribution network are provided to validate the approach.

Non-iterative Optimization Algorithm for Active Distribution Grids Considering Uncertainty of Feeder Parameters