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Article
Peer-Review Record

Design of Resonant Inverters with Energy Dosing, Based on Optimization with Reference Curve

Electronics 2025, 14(2), 327; https://doi.org/10.3390/electronics14020327
by Nikolay Madzharov 1, Bogdan Gilev 2 and Nikolay Hinov 3,*
Reviewer 1: Anonymous
Reviewer 2: Anonymous
Electronics 2025, 14(2), 327; https://doi.org/10.3390/electronics14020327
Submission received: 22 December 2024 / Revised: 11 January 2025 / Accepted: 14 January 2025 / Published: 15 January 2025
(This article belongs to the Special Issue Power Electronics and Its Applications in Power System)

Round 1

Reviewer 1 Report

Comments and Suggestions for Authors

The manuscript entitled “Design of Resonant Inverters with Energy Dozing, Based on Optimization with Reference Curve" deals with the interesting and important topic of strategy for efficient power conversion in resonant inverters.

In opinion of this reviewer some methodological/substantive explanations and additions would be useful. Some comments that are important from this reviewer's point of view are presented below:

1) Page 1, Abstract, lines 21-22: “The presented simulations and experimental results confirm the validity of the proposed optimization.” Comment: Contrary to this announcement, the manuscript does not show an experimental verification of the method in question. In the opinion of this reviewer, the manuscript may be a research-simulation work, but there is a discrepancy between the announcement and the realization here.

2) Page 8, lines 296-299: “The detuning of the parallel load circuit, at which the voltage and current through it will have a phase corresponding to the time t0 (defined on the timing diagrams in Figure 2) is determined by the expression (usually the angle y is chosen to be zero, i.e. resonance operation of the parallel load circuit is preferred” Comment: The whole sentence that makes up point 3) is a bit confusing. Open bracket on line 298: "... determined by the expression (usually the angle ..." is not locked up anywhere. It seems that it needs to be reworded..

3) Page 8, line 297: “… corresponding to the time t0 (defined on the timing diagrams in Figure 2) …” Comment: The time t0 is not explicitly defined in Fig. 2.

4) Page 9, Expression (4). Comment: Mysterious symbol between RE and RE.

5) Page 9, line 311: “… t0 = 0.1π” Comment: Time marking in angular units looks awkward.

6) Page 9, lines 314-317: ” Figure 4 shows the results of the power circuit simulation, conducted with the model 314 thus created and the circuit parameters determined by the methodology. They are given 315 sequentially as follows: the current in the AC circuit, the current through the load, the 316 voltage across it and the voltages across the two resonant capacitors.”. Comment: It would be useful to label the waveforms shown in Fig. 4 in the diagram shown in Fig. 1. In addition, at least a basic comment on these waveforms would be useful, in line with the cognitive goals of this article.

7) Page 10, lines 322-323: “The inverter in Figure 1 was designed using the methodology from the previous section.” Comment: Figure 1 shows three inverter structures. A more detailed explanation of the arrangement under consideration would be useful. Although lines 245-247 declare the structure under study, it seems advisable to sometimes repeat important information.

8) Page 10, lines 334-340: “In this optimization, we will strive to realize a certain form of the current in the alternating current circuit iLR, in which we minimize the root-mean-square error of the difference between the realized and the reference values of this current. Specifically, the following optimization task has been chosen - limiting the maximum values of the current iLR inthe alternating current circuit in the transient mode and monitoring a fixed value in the steady state, through the optimal choice of the values of the inductance LR and the capacitance of the load capacitor C.” Comment: The signal and component designations adopted here can apply to any structure shown in Fig. 1. It would be useful to specify which structure is meant. The reader would certainly appreciate such care for his comfort.

9) Page 10-11, lines 341-346: “According to the operating principle of the circuit, the current iLR oscillates, as shown in Figure 5. Therefore, the construction of a suitable reference curve (which will track this current) will be quite complicated. For this, it is chosen to separate the so-called envelope of this current wrap(iLR) (shown in Figure 5 in red) and to “converge” the envelope wrap(iLR) and a previously selected reference envelope iLR,ref (shown in Figure 5 in green)”. Comment: It seems useful to relate these waveforms to those shown in Fig. 4. And again: the reader will certainly appreciate it.

10) Page 11, lines 364: “… y(i) - readings of the current in the inverter's AC circuit …” Comment: Samples(?).

11) Page 12 line 388: “The result of the program execution is shown in Figure 7”. Comment: A more elaborate commentary/interpretation then shown in the line-in-blue no. 389 would be useful. I guess we're around the center of this manuscript.

15) Page 13, lines 401-403: “From the analysis and comparison of the results regarding the shape of the current in the AC circuit before and after the optimization, it is found that as a result of the successful reworking of the task, the dynamics of the inverter has been improved.” Comment: It seems appropriate to clarify the concept of the 'reference envelope', which is shown as green curves in Figs 5 and 7. As can be seen in Fig. 7, the effect can be even better than the required reference :-). A comment would be useful here.

Conclusion. In the opinion of this reviewer some topics have not been discussed sufficiently. Some editorial corrections would also be useful. Therefore, in the opinion of this reviewer, the manuscript “Design of Resonant Inverters with Energy Dozing, Based on Optimization with Reference Curve" needs revision.

Author Response

First of all, I would like to thank you for your thorough review of our paper “Design of Resonant Inverters with Energy Dozing, Based on Optimization with Reference Curve” (electronics-3415085) and helpful comments to improve it.

Reviewer 1

Comments and Suggestions for Authors

The manuscript entitled “Design of Resonant Inverters with Energy Dozing, Based on Optimization with Reference Curve" deals with the interesting and important topic of strategy for efficient power conversion in resonant inverters.

In opinion of this reviewer some methodological/substantive explanations and additions would be useful. Some comments that are important from this reviewer's point of view are presented below:

1) Page 1, Abstract, lines 21-22: “The presented simulations and experimental results confirm the validity of the proposed optimization.” Comment: Contrary to this announcement, the manuscript does not show an experimental verification of the method in question. In the opinion of this reviewer, the manuscript may be a research-simulation work, but there is a discrepancy between the announcement and the realization here.

2) Page 8, lines 296-299: “The detuning of the parallel load circuit, at which the voltage and current through it will have a phase corresponding to the time t0 (defined on the timing diagrams in Figure 2) is determined by the expression (usually the angle y is chosen to be zero, i.e. resonance operation of the parallel load circuit is preferred” Comment: The whole sentence that makes up point 3) is a bit confusing. Open bracket on line 298: "... determined by the expression (usually the angle ..." is not locked up anywhere. It seems that it needs to be reworded..

3) Page 8, line 297: “… corresponding to the time t0 (defined on the timing diagrams in Figure 2) …” Comment: The time t0 is not explicitly defined in Fig. 2.

4) Page 9, Expression (4). Comment: Mysterious symbol between RE and RE’.

5) Page 9, line 311: “… t0 = 0.1π” Comment: Time marking in angular units looks awkward.

6) Page 9, lines 314-317: ” Figure 4 shows the results of the power circuit simulation, conducted with the model 314 thus created and the circuit parameters determined by the methodology. They are given 315 sequentially as follows: the current in the AC circuit, the current through the load, the 316 voltage across it and the voltages across the two resonant capacitors.”. Comment: It would be useful to label the waveforms shown in Fig. 4 in the diagram shown in Fig. 1. In addition, at least a basic comment on these waveforms would be useful, in line with the cognitive goals of this article.

7) Page 10, lines 322-323: “The inverter in Figure 1 was designed using the methodology from the previous section.” Comment: Figure 1 shows three inverter structures. A more detailed explanation of the arrangement under consideration would be useful. Although lines 245-247 declare the structure under study, it seems advisable to sometimes repeat important information.

8) Page 10, lines 334-340: “In this optimization, we will strive to realize a certain form of the current in the alternating current circuit iLR, in which we minimize the root-mean-square error of the difference between the realized and the reference values of this current. Specifically, the following optimization task has been chosen - limiting the maximum values of the current iLR inthe alternating current circuit in the transient mode and monitoring a fixed value in the steady state, through the optimal choice of the values of the inductance LR and the capacitance of the load capacitor C.” Comment: The signal and component designations adopted here can apply to any structure shown in Fig. 1. It would be useful to specify which structure is meant. The reader would certainly appreciate such care for his comfort.

9) Page 10-11, lines 341-346: “According to the operating principle of the circuit, the current iLR oscillates, as shown in Figure 5. Therefore, the construction of a suitable reference curve (which will track this current) will be quite complicated. For this, it is chosen to separate the so-called envelope of this current wrap(iLR) (shown in Figure 5 in red) and to “converge” the envelope wrap(iLR) and a previously selected reference envelope iLR,ref (shown in Figure 5 in green)”. Comment: It seems useful to relate these waveforms to those shown in Fig. 4. And again: the reader will certainly appreciate it.

10) Page 11, lines 364: “… y(i) - readings of the current in the inverter's AC circuit …” Comment: Samples(?).

11) Page 12 line 388: “The result of the program execution is shown in Figure 7”. Comment: A more elaborate commentary/interpretation then shown in the line-in-blue no. 389 would be useful. I guess we're around the center of this manuscript.

15) Page 13, lines 401-403: “From the analysis and comparison of the results regarding the shape of the current in the AC circuit before and after the optimization, it is found that as a result of the successful reworking of the task, the dynamics of the inverter has been improved.” Comment: It seems appropriate to clarify the concept of the 'reference envelope', which is shown as green curves in Figs 5 and 7. As can be seen in Fig. 7, the effect can be even better than the required reference :-). A comment would be useful here.

Conclusion. In the opinion of this reviewer some topics have not been discussed sufficiently. Some editorial corrections would also be useful. Therefore, in the opinion of this reviewer, the manuscript “Design of Resonant Inverters with Energy Dozing, Based on Optimization with Reference Curve" needs revision.

Here are our answers point by point as follows:

Comments 1. Page 1, Abstract, lines 21-22: “The presented simulations and experimental results confirm the validity of the proposed optimization.” Comment: Contrary to this announcement, the manuscript does not show an experimental verification of the method in question. In the opinion of this reviewer, the manuscript may be a research-simulation work, but there is a discrepancy between the announcement and the realization here.

Response 1: Thank you very much for your comment. We fully accept your arguments. The appropriate correction has been made.

Comments 2. Page 8, lines 296-299: “The detuning of the parallel load circuit, at which the voltage and current through it will have a phase corresponding to the time t0 (defined on the timing diagrams in Figure 2) is determined by the expression (usually the angle y is chosen to be zero, i.e. resonance operation of the parallel load circuit is preferred” Comment: The whole sentence that makes up point 3) is a bit confusing. Open bracket on line 298: "... determined by the expression (usually the angle ..." is not locked up anywhere. It seems that it needs to be reworded.

Response 2: Thank you very much for your careful reading of the manuscript. The appropriate correction has been made.

Comments 3. Page 8, line 297: “… corresponding to the time t0 (defined on the timing diagrams in Figure 2) …” Comment: The time t0 is not explicitly defined in Fig. 2.

Response 3: Thank you very much for your careful reading of the manuscript. The appropriate correction has been made.

Comments 4. Page 9, Expression (4). Comment: Mysterious symbol between RE and RE’.

Response 4: Thank you very much for your comment. A Bulgarian symbol was left in the translation of the text. The corresponding correction has been made.

Comments 5. Page 9, line 311: “… t0 = 0.1π” Comment: Time marking in angular units looks awkward.

Response 5: Thank you very much for the comment. The corresponding correction has been made.

Comments 6. Page 9, lines 314-317: ” Figure 4 shows the results of the power circuit simulation, conducted with the model 314 thus created and the circuit parameters determined by the methodology. They are given 315 sequentially as follows: the current in the AC circuit, the current through the load, the 316 voltage across it and the voltages across the two resonant capacitors.”. Comment: It would be useful to label the waveforms shown in Fig. 4 in the diagram shown in Fig. 1. In addition, at least a basic comment on these waveforms would be useful, in line with the cognitive goals of this article.

Response 6: Thank you very much for the suggestion! We fully support it. The corresponding correction has been made.

Comments 7. Page 10, lines 322-323: “The inverter in Figure 1 was designed using the methodology from the previous section.” Comment: Figure 1 shows three inverter structures. A more detailed explanation of the arrangement under consideration would be useful. Although lines 245-247 declare the structure under study, it seems advisable to sometimes repeat important information.

Response 7: Thank you very much for the comment. We fully accept it. The corresponding correction has been made.

Comments 8. Page 10, lines 334-340: “In this optimization, we will strive to realize a certain form of the current in the alternating current circuit iLR, in which we minimize the root-mean-square error of the difference between the realized and the reference values of this current. Specifically, the following optimization task has been chosen - limiting the maximum values of the current iLR inthe alternating current circuit in the transient mode and monitoring a fixed value in the steady state, through the optimal choice of the values of the inductance LR and the capacitance of the load capacitor C.” Comment: The signal and component designations adopted here can apply to any structure shown in Fig. 1. It would be useful to specify which structure is meant. The reader would certainly appreciate such care for his comfort.

Response 8: Thank you very much for the suggestion. We fully accept it. The corresponding correction has been made.

Comments 9. Page 10-11, lines 341-346: “According to the operating principle of the circuit, the current iLR oscillates, as shown in Figure 5. Therefore, the construction of a suitable reference curve (which will track this current) will be quite complicated. For this, it is chosen to separate the so-called envelope of this current wrap(iLR) (shown in Figure 5 in red) and to “converge” the envelope wrap(iLR) and a previously selected reference envelope iLR,ref (shown in Figure 5 in green)”. Comment: It seems useful to relate these waveforms to those shown in Fig. 4. And again: the reader will certainly appreciate it.

Response 9: Thank you very much for the suggestion. We fully accept it. The corresponding correction has been made.

Comments 10. Page 11, lines 364: “… y(i) - readings of the current in the inverter's AC circuit …” Comment: Samples(?).

Response 10: That's right, these are the current values ​​at certain points in time.

Comments 11. Page 12 line 388: “The result of the program execution is shown in Figure 7”. Comment: A more elaborate commentary/interpretation then shown in the line-in-blue no. 389 would be useful. I guess we're around the center of this manuscript.

Response 11: Thank you very much for the suggestion. We fully accept it. The corresponding correction has been made.

Comments 15 (12). Page 13, lines 401-403: “From the analysis and comparison of the results regarding the shape of the current in the AC circuit before and after the optimization, it is found that as a result of the successful reworking of the task, the dynamics of the inverter has been improved.” Comment: It seems appropriate to clarify the concept of the 'reference envelope', which is shown as green curves in Figs 5 and 7. As can be seen in Fig. 7, the effect can be even better than the required reference :-). A comment would be useful here.

Response 15 (12): Thank you very much for the suggestion. We fully accept it. The corresponding correction has been made.

Conclusion. In the opinion of this reviewer some topics have not been discussed sufficiently. Some editorial corrections would also be useful. Therefore, in the opinion of this reviewer, the manuscript “Design of Resonant Inverters with Energy Dozing, Based on Optimization with Reference Curve" needs revision.

Response: Thank you very much for your recommendations and comments. We fully accept it. Corresponding corrections have been made to the manuscript.

 

Thank you very much for your remarks and comments. They were very useful for me to emphasize the main tasks and contributions of the manuscript, and also to focus the attention of the readers on the new and unique elements.

Reviewer 2 Report

Comments and Suggestions for Authors

This paper presents an optimization-based approach for the design of energy-dosing resonant inverters using a reference curve. After reading this paper, I have the following comments:

1. In the introduction, a detailed state-of-art of the RIED are presented, however, the contribution and the advantages of the proposed method are not described in detail. The main contribution of this paper show be summarized at the end of the introduction.

2. In page 7, line 273, the physical definition of these state space variables should also be described.

3. In Fig. 3, Matlab/Simulink model of a inverter with split resonant capacitor and energy dosing are built, however, the authors should use real model (built by circuit components, such as IGBT, load, capacitor) in the simulink but not the numerical model.

4. How about the performance of the proposed method under parametric variation?

5. I suggest introduce more recently published papers in the related area, some references in the paper are old.

Author Response

First of all, I would like to thank you for your thorough review of our paper “Design of Resonant Inverters with Energy Dosing, Based on Optimization with Reference Curve” (electronics-3415085) and helpful comments to improve it.

Reviewer 2

Comments and Suggestions for Authors

This paper presents an optimization-based approach for the design of energy-dosing resonant inverters using a reference curve. After reading this paper, I have the following comments:

 

  1. In the introduction, a detailed state-of-art of the RIED are presented, however, the contribution and the advantages of the proposed method are not described in detail. The main contribution of this paper show be summarized at the end of the introduction.
  1. In page 7, line 273, the physical definition of these state space variables should also be described.
  1. In Fig. 3, Matlab/Simulink model of a inverter with split resonant capacitor and energy dosing are built, however, the authors should use real model (built by circuit components, such as IGBT, load, capacitor) in the simulink but not the numerical model.
  1. How about the performance of the proposed method under parametric variation?
  1. I suggest introduce more recently published papers in the related area, some references in the paper are old.

 

Here are our answers point by point as follows:

Comments 1. In the introduction, a detailed state-of-art of the RIED are presented, however, the contribution and the advantages of the proposed method are not described in detail. The main contribution of this paper show be summarized at the end of the introduction.

Response 1: Thank you very much for the suggestion. We fully accept it. The corresponding correction has been made.

Comments 2. In page 7, line 273, the physical definition of these state space variables should also be described.

Response 2: Thank you very much for the suggestion. We fully accept it. The corresponding description has been made.

Comments 3. In Fig. 3, Matlab/Simulink model of a inverter with split resonant capacitor and energy dosing are built, however, the authors should use real model (built by circuit components, such as IGBT, load, capacitor) in the simulink but not the numerical model.

Response 3: Thank you very much for the comment. Unfortunately, envelope optimization is not included as a standard procedure in MATLAB. For this reason, it is necessary to create a model and an author's program for obtaining the envelope of the current in the AC circuit. A similar comment was added during editing and in the text of the paper.

Comments 4. How about the performance of the proposed method under parametric variation?.

Response 4: Thank you very much for the comment. Resonant inverters with energy dosing are characterized by the fact that the active power consumed by them depends on the switching frequency, the value of the input DC supply voltage and the value of the resonant capacitors. In this sense, such a study is interesting, but this was not the focus of our research. Our main goal is to propose a hybrid design approach that combines rational design methodology, mathematical modeling and optimization. In this aspect, parametric change will be the subject of our future research.

Comments 5. I suggest introduce more recently published papers in the related area, some references in the paper are old.

Response 5: Thank you very much for the comment. We have added several newer sources. On the other hand, in order to better define the research task, we also need to cite older research on this topic.

 

Thank you very much for your remarks and comments. They were very useful for me to emphasize the main tasks and contributions of the manuscript, and also to focus the attention of the readers on the new and unique elements.

Round 2

Reviewer 2 Report

Comments and Suggestions for Authors

No more comments

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