We discovered a deficiency in Algorithm 1 and Theorem 3 of [1]. The algorithm called 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] contradict each other in the case of a valid scenario, proving that the suggested algorithm does not always find the optimum. Furthermore, we provide theoretic results, showing that Theorem 3 of [1] does not hold generally. At last, we provide a rectification by adjusting the algorithm and the corresponding proof of Theorem 3.

中文翻译：

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重新审视具有传输损耗和定向通信的智能电网中基于共识的能源管理

我们发现 [1] 的算法 1 和定理 3 存在缺陷。称为 CEMA 的算法旨在分布式地解决能源管理问题。然而，通过一个反例，我们证明 [1] 的定理 2 和定理 3 在有效场景的情况下相互矛盾，证明所建议的算法并不总是能找到最优解。此外，我们提供了理论结果，表明 [1] 的定理 3 一般不成立。最后，我们通过调整算法和定理3的相应证明进行修正。