## Response to: Comment on “Storage and Dissipation Limits in Resonant Switched-Capacitor Converters”

- Jonathan C. Mayo-Maldonado | Thabiso M. Maupong | ... | Julio C. Rosas-Caro |
- Article ID 3189379 |
- Published 31 Oct 2018
- | View Article

Letter to the Editor | Open Access

İzzet Cem Göknar, "Comment on “Storage and Dissipation Limits in Resonant Switched-Capacitor Converters”", *Mathematical Problems in Engineering*, vol. 2018, Article ID 1567645, 2 pages, 2018. https://doi.org/10.1155/2018/1567645

# Comment on “Storage and Dissipation Limits in Resonant Switched-Capacitor Converters”

**Academic Editor:**J.-C. Cortés

#### Abstract

The purpose of this note is (i) to point to a reference missing in the paper (Mayo-Maldonado et al., 2018) and (ii) to show that some of its content is covered in a more general setting by the results in that reference (Göknar, 1972).

#### 1. Introduction

As explained in the sequel, some of the results developed for specific circuits in Sections 5 and 7 of the paper given in [1] can simply be obtained as applications of results in [2] presented for arbitrary passive circuits containing inductor only cut-sets and/or capacitor only loops.

#### 2. Comments

**With Theorem ****1** (typo, first Theorem 2 should be Theorem 1) in [2], a measure for the jump in energy is given for a general circuit consisting of inductors (L) and/or capacitors (C) at a time of discontinuity and shown to be positive.

**With Theorem ****2** for a nonsingular L (C) matrix, it is shown that the necessary and sufficient condition for the jump in energy to be zero is that L currents (C voltages) satisfy Kirchhoff Laws before the jump (at ) [2].

In case of a singular L (C) matrix,** Theorem ****3** gives a necessary and sufficient condition for the energy at to be zero showing how essential is the nonsingularity of L (C) matrix.

Thus there is no need for all the lengthy derivations for a circuit consisting of two capacitors in** Section ****5**** of paper [1]**; they can all be derived simply from the general formulation in [2].

For a circuit* N* consisting of inductors (capacitors) only, an** augmented circuit ** is obtained from* N* by including resistors into* N* in such a way that all L cut-sets (all C loops) are destroyed and when all resistors are open (short) circuited the topology of* N* is obtained.

**Theorem ****4**** in** [2] shows that all L currents (C voltages) in tend to L currents (C voltages) in* N* as . Furthermore, the fact that the energy jump in* N* is equal to the energy consumed on the interval in the resistors of is demonstrated in** Theorem ****5** [2], giving a physical interpretation to the energy jump in* N*.

It is expected that results in Section 7 of paper [1] can profit from Theorems 4 and 5 of [2].

#### 3. Conclusions

Referring to paper [2] will do justice to it and profiting from its results may shorten the paper [1]. Also, it is quite possible that these results open new horizons for developing further outcomes.

#### Conflicts of Interest

The author declares that he has no conflicts of interest.

#### References

- J. C. Mayo-Maldonado, T. M. Maupong, J. E. Valdez-Reséndiz, and J. C. Rosas-Caro, “Storage and Dissipation Limits in Resonant Switched-Capacitor Converters,”
*Mathematical Problems in Engineering*, vol. 2018, Article ID 1054179, 10 pages, 2018. View at: Publisher Site | Google Scholar - I. C. Göknar, “Conservation of Energy at Initial Time for Passive RLCM Network,”
*lEEE Transactıons on Circuit Theory*, vol. 19, pp. 365–367, 1972. View at: Publisher Site | Google Scholar

#### Copyright

Copyright © 2018 İzzet Cem Göknar. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

## Comment on “Storage and Dissipation Limits in Resonant Switched-Capacitor Converters”