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We discovered a deficiency in Algorithm 1 and Theorem 3 of [1]. The algorithmcalled CEMA aims to solve an energy management problem distributively. However,by means of a counter example, we show that Theorem 2 and 3 of [1] contradicteach other in the case of a valid scenario, proving that the suggestedalgorithm does not always find the optimum. Furthermore, we provide theoreticresults, showing that Theorem 3 of [1] does not hold generally. At last, weprovide a rectification by adjusting the algorithm and the corresponding proofof Theorem 3.

Revisiting Consensus-Based Energy-Management in Smart Grid with Transmission Losses and Directed Communication