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

• İzzet Cem Göknar |
•  Article ID 1567645 |
•  Published 31 Oct 2018

## 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

Volume 2018 |Article ID 1567645 | https://doi.org/10.1155/2018/1567645

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”

Accepted18 Jul 2018
Published31 Oct 2018

#### 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  can simply be obtained as applications of results in  presented for arbitrary passive circuits containing inductor only cut-sets and/or capacitor only loops.

With Theorem 1 (typo, first Theorem 2 should be Theorem 1) in , 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 ) .

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 ; they can all be derived simply from the general formulation in .

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  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 , giving a physical interpretation to the energy jump in N.

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

#### 3. Conclusions

Referring to paper  will do justice to it and profiting from its results may shorten the paper . 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.

1. 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
2. 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