Decomposition of the Voltages in a Three-Phase Asymmetrical Circuit with a Non-Sinusoidal Voltage Source

Round 1

Reviewer 1 Report

Comments and Suggestions for Authors

The article is devoted to the current topic of reactive power compensation in individual phases of multiphase networks.

The classic way to compensate for reactive power in high-power industrial networks is to use a synchronous compensator - a synchronous electric machine of a rotating type with electromagnetic excitation, operating in motor mode at idle speed. However, this classical method does not compensate for load asymmetry across phases.

 The method proposed in the article can improve the quality of energy in local low-power energy networks. However, the possibility of its practical use in high-power industrial networks is questionable.

 The presence of large banks of variable capacitances and inductances may turn out to be less advantageous in terms of economic and weight-size parameters compared to a synchronous (including fully superconducting) electric machine compensator.

The article does not contain comparative results of calculations and modeling that confirm the accuracy of the technique and advantages compared to other methods. Perhaps a comparative table of various methods of reactive power compensation, listing the advantages, disadvantages and promising areas of application, can partially compensate for the lack of clearly defined results.

Author Response

Thank you very much for your valuable comments. We are happy that as a result of these actions we can improve the quality of our article.

We have made changes to our article. We have marked these changes in red.
In order to better understand this material, we have improved the Abstract and Introduction and added Chapter 5 in which we discussed the utility value of this method of compensation.
As the reviewers noted: the use of series compensation is limited and not very profitable in certain situations. However, the considerations presented in this study may be useful in future research.
Comparison of compensation methods is possible when analyzing a specific case. Taking a different circuit to analyze, the results will differ from those contained in Chapter 5, but similar conclusions can be expected.
However, we note that the VPC theory is very important and opens new opportunities for future research.

Reviewer 2 Report

Comments and Suggestions for Authors

Thank you for the good presentation of the article, I have the following suggestions for improving the manuscript:

- Please, add more case studies for large networks like the IEEE 30-, and 69-node distribution feeders. Further, please, validate on large power systems like the 57-, and 118-bus systems.

- The literature more reinforcement by adding a comparison with the previous literature.

- Would the proposed methodology decrease the execution time?

- What about modelling distributed and renweables energies? Would it be mentioned in the literature and considered in the analysis if possinle?

Author Response

Thank you very much for your valuable comments. We are happy that as a result of these actions we can improve the quality of our article.

We have made changes to our article. We have marked these changes in red.
In order to better understand this material, we have improved the Abstract and Introduction and added Chapter 5 in which we discussed the utility value of this method of compensation.
As the reviewers noted: the use of series compensation is limited and not very profitable in certain situations. However, the considerations presented in this study may be useful in future research.
Comparison of compensation methods is possible when analyzing a specific case. Taking a different circuit to analyze, the results will differ from those contained in Chapter 5, but similar conclusions can be expected.
However, we note that the VPC theory is very important and opens new opportunities for future research.
In the case of modeling distributed energy, it is required to take into account voltage sources on the receiving side. In order to be able to use this theory for such applications, this theory must be verified. However, this requires a lot of work and this problem can be addressed in the future.

Round 2

Reviewer 2 Report

Comments and Suggestions for Authors

The authors have done their best. Thank you!