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Peer-Review Record

Two-Stage Distributionally Robust Optimal Scheduling for Integrated Energy Systems Considering Uncertainties in Renewable Generation and Loads

Mathematics 2025, 13(9), 1439; https://doi.org/10.3390/math13091439
by Keyong Hu 1,2,*, Qingqing Yang 1, Lei Lu 1, Yu Zhang 3, Shuifa Sun 1,2 and Ben Wang 1,2,*
Reviewer 1: Anonymous
Reviewer 2:
Mathematics 2025, 13(9), 1439; https://doi.org/10.3390/math13091439
Submission received: 25 March 2025 / Revised: 17 April 2025 / Accepted: 21 April 2025 / Published: 28 April 2025

Round 1

Reviewer 1 Report

Comments and Suggestions for Authors

This paper proposes an optimal scheduling for integrated energy systems. The topic of the manuscript is interesting. However, the manuscript can be improved.

  1. The proposed structure only integrated the electrical and heating systems. The cooling system has not been developed.
  2. The power-to-gas and gas-to-power system as electrolyzer and fuel cell units can improve the flexibility of the integrated energy system.
  3. Why uncertainty of DR participation has been ignored?
  4. Why the power flow and electricity network not been considered?
  5. Can we neglect the heating network?
  6. The impact of the proposed model on power quality indexes has not been studied.
  7. The proposed model only focuses on the economic perspectives and environmental problems are not considered as the objective function. 
  8. The font size inside the figures should be increased.
  9. The introduction must be improved by reviewing the most recently published works. What are the main differences of the proposed model with following research works. Please compare the differences of the proposed model with the following research work in the introduction section.

[1]. Monemi Bidgoli, Mahdieh. "Optimal Energy Management of Water-Energy Nexus in Multi-Carrier Systems Integrated with Renewable Sources." Power, Control, and Data Processing Systems 1, no. 1 (2024).

[2]. Karimi, Hamid, Saeed Hasanzadeh, and Hedayat Saboori. "Cooperative scheduling and trading in sustainable water-integrated and networked energy systems incorporating power-to-gas." Sustainable Cities and Society 101 (2024): 105052.

[3]. Masoudi, Mohammad Reza, Mehran Haghighi, and Milad Rahimipour Behbahani. "Optimal Operation of Solar Energy System integrated with Energy Storage Systems." Power, Control, and Data Processing Systems 1, no. 1 (2024).

[4] Haghighi, Mehran, Mohammad Reza Masoudi, and Milad Rahimipour Behbahani. "Smart Homes Energy Management System Integrated with Renewable Energy Sources and Demand Response Programs." Power, Control, and Data Processing Systems 2, no. 1 (2025).

10. Future works can be added in the conclusion section.

Author Response

Please see the attachment.

Author Response File: Author Response.pdf

Reviewer 2 Report

Comments and Suggestions for Authors

The authors provide a very innovative approach with distinct practical and scientific potential. Thus, only marginal issues with the article arose, some of them will already be solved by switching to the official format. I will list those and in the end have one slightly more profound issue.
- Page 6 Line 26 (6.26) and 6.30 and 11.9 have superfluous or missing spaces.
- 8.6-7: The formulation of the sentence seems off.
- 11.1; 11.2; 11.15 and 12.21 at the end of the sentences it says Yuan. Either omit it or write "in yuan".
- The last paragraph of the introduction and the conclusions list paragraphs numbering them with 1. and 2. or 1) and 2). Ideally, write it as "First,..." and "Second,..."
- The page numbering starting at page 10 only lists the first digit.
- Maybe formulate the article Independent of a particular currency, i.e., use monetary units (MU) instead of yuan.
- Some sub-chapter headings start with lower case letters
- Abbreviations should ideally be introduced upon first use.
- Line-spacing is inconsistent across the article.
- The font of equations 24-28 differs.
- The Format of equations 29 and following, i.e., the brackets should look more professional
The last issue concerns sensitivity of the results.
- While I agree with the authors in regard to the process incorporating empirical insights based on historical data into the solution approach, a discussion on how sensitive the process of determining usable scenarios is considering the implemented data. Maybe include some more detailled analyses in this regard. One idea would be splitting the alternative data set or using a second alternative data set.  
- In relation to the previous issue, the efficiency of the algorithm is highly dependent o the accuracy of the implemented historical data. Maybe discuss in more detail minimum requirements for data sources.

Author Response

Please see the attachment.

Author Response File: Author Response.pdf

Round 2

Reviewer 1 Report

Comments and Suggestions for Authors

The quality of the paper has been increased by revision and can considered for publication. However, some error is existed in citations that can be solved in proofing step (pages 5 and 6 (ref. 32-34)

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