  Electric power distribution systems will encounter fluctuations in supply due
to the introduction of renewable sources with high variability in generation
capacity. It is therefore necessary to provide algorithms that are capable of
dynamically finding approximate solutions. We propose two semi-distributed
algorithms based on ADMM and discuss their advantages and disadvantages. One of
the algorithms computes a feasible approximate of the optimal power allocation
at each instance. We require coordination between the nodes to guarantee
feasibility of each of the iterates. We bound the distance from the approximate
solutions to the optimal solution as a function of the variation in optimal
power allocation. Finally, we verify our results via experiments.
