Correction: Lee et al. Optimal Operation Scheduling Considering Cycle Aging of Battery Energy Storage Systems on Stochastic Unit Commitments in Microgrids. Energies 2021, 14, 470

In the original publication [1], References [2,3,4,5] were not cited, and proper credit was not given for the Algorithm steps in Section 3.2.1 (Reference [5]). The correct citation has now been inserted into Section 3, BESS Modeling, Section 3.2.1, Rainflow-Counting Algorithm, Paragraph 1, and should read as follows:

3.2.1. Rainflow-Counting Algorithm

The rainflow-counting algorithm is applied for the stress analysis of materials in order to calculate the cumulative effect through cycle counting [35,36]. Here, this algorithm was adopted to assess the battery’s life cycle in the SUC problem of an MG. Figure 2 depicts the DOD provided by the rainflow-counting algorithm [37]. As an example, an SOC profile with local extremes ${\omega }_n$ is shown in Figure 2a. According to the rainflow-counting algorithm, the DOD can be calculated (as shown in Figure 2b) using the following sequence:

• The procedure starts from ${\omega }_0$ and involves the calculation of $\Delta {\omega }_1=\left|{\omega }_0-{\omega }_1\right|, \Delta {\omega }_2=\left|{\omega }_1-{\omega }_2\right|$, and $\Delta {\omega }_3=\left|{\omega }_2-{\omega }_3\right|$;
• If $\Delta {\omega }_2\le \Delta {\omega }_1$ and $\Delta {\omega }_2\le \Delta {\omega }_3$, a full cycle of depth $\Delta {\omega }_2$ is confirmed. Thereafter, ${\omega }_1 \mathrm{and} {\omega }_2$ are removed from the profile, and step (2) is repeated using points ${\omega }_0, {\omega }_3,{\omega }_4, {\omega }_5$…;
• If a cycle is not confirmed, the confirmation is shifted forward, and step (2) is repeated using points ${\omega }_1, {\omega }_2,{\omega }_3, {\omega }_4$…;
• The confirmation is repeated until no more full cycles can be confirmed throughout the remaining profile.

Additionally, the citation for References [2,3] have now been inserted into Section 1.2, Literature Review, Paragraph 2. The citation for Reference [4] was inserted into Section 3.2.1, Rainflow-Counting Algorithm, Paragraph 1. An additional citation for Reference [5] was included in Section 3.2.2, LCC, Paragraph 1.

Due to adding new References, the numeration of References with respect to the original publication has been modified. References [2,3,4,5] will appear in the document as References [14,18,36,37] respectively. The authors apologize for any inconvenience caused and state that the scientific conclusions are unaffected. The original publication has also been updated.