Modeling the Dynamics of Supercapacitors by Means of Riemann–Liouville Integral Definition

Round 1

Reviewer 1 Report

Comments and Suggestions for Authors

Recommendation term: Minor revision. 

The authors of the work propose an alternative model for describing the processes of charging and discharging capacitors, using the Riemann-Liouville definition for a non-integer order integral. The manuscript presents the agreement between the modeled and experimental results. The content of the work corresponds to the expected volume of this journal.

The reviewer is positive about the suitability of this study for publication in the journal Electricity, but suggests that several points below should be considered that should not take up much of the researcher's time.

The researchers must attend to the following concerns in full.

1. The manuscript as a whole is written smoothly. However, the article contains national words that should be replaced with English ones. Figures 2 and 3, "modelo", "tiempo", figure 7 "Convertidor analógico-digital", figure 9 "Fotografía del diseño experimental".

2. Figure 4 does not indicate units of measurement for τ and gt (τ).

3. line 210 "as can be seen in the figure ??"

4. National text is present in the comments to the program text in Appendix A.

5. In Section 3, Supercapacitor Features, the authors state that "The thickness of the double layer depends on the concentration of the electrolyte and the size of the ions." I suggest the authors read the article on this topic. New J. Chem., 2018, 42, 18409-18417 

 

Comments on the Quality of English Language

The manuscript as a whole is written smoothly. However, the article contains national words that should be replaced with English ones. Figures 2 and 3, "modelo", "tiempo", figure 7 "Convertidor analógico-digital", figure 9 "Fotografía del diseño experimental".

Author Response

Dear reviewer,

Enclosed with this letter you will find an electronic submission revised entitled “Modelling the dynamics of supercapacitors by means of Riemann-Liouville integral definition”.

The application of fractional calculus to obtain dynamic models for supercapacitors represents an alternative approach to obtaining simpler and more accurate models. This paper presents a model for the supercapacitor in the time domain, based on the use of the fractional or non-integer order integral. This fractional model is compared with the conventional simple model, which is typically used in industrial applications.

You can find below the reply to the reviewers satisfying all their requirements. We hope you can consider the manuscript to be publish in Electricity Journal.

Yours sincerely, the Authors.

Response to Reviewer 1

Comments and Suggestions for Authors

Recommendation term: Minor revision.

The authors of the work propose an alternative model for describing the processes of charging and discharging capacitors, using the Riemann-Liouville definition for a non-integer order integral. The manuscript presents the agreement between the modeled and experimental results. The content of the work corresponds to the expected volume of this journal.

The reviewer is positive about the suitability of this study for publication in the journal Electricity, but suggests that several points below should be considered that should not take up much of the researcher's time.

The researchers must attend to the following concerns in full.

1. The manuscript as a whole is written smoothly. However, the article contains national words that should be replaced with English ones. Figures 2 and 3, "modelo", "tiempo", figure 7 "Convertidor analógico-digital", figure 9 "Fotografía del diseño experimental".

Ok. The national words have been replaced.

2. Figure 4 does not indicate units of measurement for τ and gt (τ).

Ok. In this version, the units for the abscissa axes are already given in Figure 4.

3. line 210 "as can be seen in the figure ??"

Ok. In this version, the corresponding figure number already appears.

4. National text is present in the comments to the program text in Appendix A.

Ok. The national text has been replaced in the comments to the program text in Appendix A.

5. In Section 3, Supercapacitor Features, the authors state that "The thickness of the double layer depends on the concentration of the electrolyte and the size of the ions." I suggest the authors read the article on this topic. New J. Chem., 2018, 42, 18409-18417

Ok. The authors have considered the reviewer's suggestion and have included it in the paper in the indicated aspect "The thickness of the double layer depends on the concentration of the electrolyte and the size of the ions", now reads "The thickness of the double layer depends on the concentration of the electrolyte and the size of the ions, and the capacitance values depend on the ratio of the ion sizes between the molecules". It has been included as a reference in the paper.

Comments on the Quality of English Language

The manuscript as a whole is written smoothly. However, the article contains national words that should be replaced with English ones. Figures 2 and 3, "modelo", "tiempo", figure 7 "Convertidor analógico-digital", figure 9 "Fotografía del diseño experimental".

Ok. The national words have been replaced.

 

Author Response File: Author Response.pdf

Reviewer 2 Report

Comments and Suggestions for Authors

This paper presents the application of fractional calculus to obtain dynamic models for supercapacitors. This alternative approach provides simpler and more accurate models. The supercapacitor model is presented in the time domain and is based on the use of the fractional or non-integer order integral. This fractional model is compared with the conventional simple model, typically used in industrial applications. This fractional integral-based model provides satisfactory fits in relation to the number of parameters used in the model.

 The work is suitable for publication after minor changes.

There are some errors to be repaired:

1)      On Page 1 in the Abstract, the sentence “This paper presents a dynamic analysis based on charge and discharge operations with constant currents.” is written twice in the Abstract; delete one.

2)      On Page 3, line 97, there is a text “2 y 3”. Instead, write “2 and 3”. The same error appears in several places in the manuscript, such as lines 149 and 237. Please repair.

3)      On page 4, in figures 2 and 3, there is a text in Spanish, “tiempo” and “modelo.” Please translate it into English.

4)      On page 7, line 178, there is a subsection named “5.1 Materiales”. Please translate it into English.

5)      On page 7, in Figure 5, the text in blocks is written as “Digital to Analogical” and “Analogical to Digital.” Please change “Analogical” to “Analog.” Also, the captions on the two graphs are too tiny, and nobody can read them. Please enlarge them to be visible.  The authors must describe the circuit in Figure 5 in more detail. It is a basic diagram of the experimental design. It should be connected to the galvanostat, and first, it must be described how the galvanostat operates. Then, the circuit in Figure 5 proposed by the authors should be connected to the galvanostat.

This description of the circuit in Figure 5 and the description of the Interface Processing GUI in Figure 11 are the two main things the authors must add to the paper. Please include the code for the Figure 11 Interface Processing GUI, implemented and developed in Processing, in an additional Appendix. 

6)      Captions of figures 6, 7, and 9 are in Spanish; please translate them to English.

7)      Page 9, line 210, the Figure is 10 in the text. Repair.

8)      Page 9, in the denominator of eq. (6) has Vin1-Vin1, please repair it to be Vin1-Vin2.

9)      Page9, line 213, there is a text “... for communication, test management and storage of experimental data, an interface application has been implemented and developed in Processing, ...”. Please describe in deeper detail what “Processing” is and give an example of code that authors have produced. This would be interesting for the readers' audience.

Author Response

Dear reviewer,

Enclosed with this letter you will find an electronic submission revised entitled “Modelling the dynamics of supercapacitors by means of Riemann-Liouville integral definition”.

The application of fractional calculus to obtain dynamic models for supercapacitors represents an alternative approach to obtaining simpler and more accurate models. This paper presents a model for the supercapacitor in the time domain, based on the use of the fractional or non-integer order integral. This fractional model is compared with the conventional simple model, which is typically used in industrial applications.

You can find below the reply to the reviewers satisfying all their requirements. We hope you can consider the manuscript to be publish in Electricity Journal.

Yours sincerely, the Authors.

Response to Reviewer 2

Comments and Suggestions for Authors

This paper presents the application of fractional calculus to obtain dynamic models for supercapacitors. This alternative approach provides simpler and more accurate models. The supercapacitor model is presented in the time domain and is based on the use of the fractional or non-integer order integral. This fractional model is compared with the conventional simple model, typically used in industrial applications. This fractional integral-based model provides satisfactory fits in relation to the number of parameters used in the model.

 The work is suitable for publication after minor changes.

There are some errors to be repaired:

1)      On Page 1 in the Abstract, the sentence “This paper presents a dynamic analysis based on charge and discharge operations with constant currents.” is written twice in the Abstract; delete one.

Ok. It has been deleted.

2)      On Page 3, line 97, there is a text “2 y 3”. Instead, write “2 and 3”. The same error appears in several places in the manuscript, such as lines 149 and 237. Please repair.

Ok. The errors have been repaired.

3)      On page 4, in figures 2 and 3, there is a text in Spanish, “tiempo” and “modelo.” Please translate it into English.

Ok. The text has been translated.

4)      On page 7, line 178, there is a subsection named “5.1 Materiales”. Please translate it into English.

Ok. The text has been translated.

5)      On page 7, in Figure 5, the text in blocks is written as “Digital to Analogical” and “Analogical to Digital.” Please change “Analogical” to “Analog.” Also, the captions on the two graphs are too tiny, and nobody can read them. Please enlarge them to be visible.  The authors must describe the circuit in Figure 5 in more detail. It is a basic diagram of the experimental design. It should be connected to the galvanostat, and first, it must be described how the galvanostat operates. Then, the circuit in Figure 5 proposed by the authors should be connected to the galvanostat.

This description of the circuit in Figure 5 and the description of the Interface Processing GUI in Figure 11 are the two main things the authors must add to the paper. Please include the code for the Figure 11 Interface Processing GUI, implemented and developed in Processing, in an additional Appendix.

Ok. The text blocks have been modified, and the caption on the graphs have been enlarged.  On the other hand, in point 4 of subsection '5.1. Materials', the function of the devices of the galvanostatic system has been explained in more detail. It has also been pointed out that the system shown in Figure 5 is the galvanostat completed by the code implemented in the microcontroller and the code executed in the PC by processing.

Ok. An additional Appendix with the Processing source code has been added.

6)      Captions of figures 6, 7, and 9 are in Spanish; please translate them to English.

Ok. The text has been translated.

7)      Page 9, line 210, the Figure is 10 in the text. Repair.

Ok. The text has been repaired.

8)      Page 9, in the denominator of eq. (6) has Vin1-Vin1, please repair it to be Vin1-Vin2.

We are very sorry, but the authors could not understand this aspect.

9)      Page9, line 213, there is a text “... for communication, test management and storage of experimental data, an interface application has been implemented and developed in Processing, ...”. Please describe in deeper detail what “Processing” is and give an example of code that authors have produced. This would be interesting for the readers' audience.

Ok. It has been described in deeper detail what Processing is, and it has been added an additional Appendix with the Processing source code.

Author Response File: Author Response.pdf

Round 2

Reviewer 2 Report

Comments and Suggestions for Authors

The authors have accepted all my suggestions.