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arxiv: 1907.02559 · v1 · pith:2IUQVHVInew · submitted 2019-07-04 · 📡 eess.SY · cs.SY

A Soft-switched Fast Cell-to-Cell Voltage Equalizer for Electrochemical Energy Storage

Shimul K Dam , Vinod John This is my paper

Pith reviewed 2026-05-25 08:53 UTC · model grok-4.3

classification 📡 eess.SY cs.SY
keywords voltage equalizerbattery balancingsoft switchingzero voltage switchingcell-to-cell equalizationenergy storagemodulation method
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The pith

A new equalizer topology transfers charge simultaneously among multiple over-charged and under-charged cells while enforcing zero-voltage switching in every condition.

A machine-rendered reading of the paper's core claim, the machinery that carries it, and where it could break.

The paper introduces a cell-to-cell voltage equalizer circuit for series-connected batteries that moves energy directly from several over-charged cells to several under-charged cells at once. This avoids the extra charge-discharge cycles that occur in conventional sequential balancing methods. The circuit and its modulation scheme are shown to produce zero-voltage switching regardless of the individual cell voltages, and the performance is confirmed on a four-cell hardware prototype tested with both battery and ultra-capacitor banks.

Core claim

The central claim is that the proposed soft-switched cell-to-cell voltage equalizer topology, together with its modulation method, enables simultaneous charge transfer between multiple over-charged and multiple under-charged cells without forcing any cell through unnecessary charging or discharging, while guaranteeing zero-voltage switching under all battery voltage conditions.

What carries the argument

The circuit topology and modulation method that together permit simultaneous multi-cell charge transfer and enforce zero-voltage switching.

If this is right

  • Equalization time decreases because multiple cells exchange charge in parallel rather than sequentially.
  • Energy loss is reduced by eliminating the extra charge and discharge steps required in pair-wise methods.
  • The same hardware works with both conventional battery banks and ultra-capacitor banks at high efficiency.
  • Zero-voltage switching holds across the full range of cell voltage differences encountered in normal operation.

Where Pith is reading between the lines

These are editorial extensions of the paper, not claims the author makes directly.

  • The approach could shorten balancing time in large series strings used in electric vehicles or grid storage.
  • Direct multi-cell transfer may lower cumulative stress on individual cells and thereby extend pack lifetime.
  • The topology might be extended to larger numbers of cells if the modulation rules remain valid at higher cell counts.

Load-bearing premise

The modulation method produces zero-voltage switching for every possible combination of cell voltages.

What would settle it

Waveform measurements on the prototype that show non-zero voltage at the switching instants for any tested combination of cell voltages or load conditions.

Figures

Figures reproduced from arXiv: 1907.02559 by Shimul K Dam, Vinod John.

Figure 1
Figure 1. Figure 1: Schematic diagram of the proposed voltage equalizer. [PITH_FULL_IMAGE:figures/full_fig_p002_1.png] view at source ↗
Figure 2
Figure 2. Figure 2: (a) Square wave function, Sq(t), (b) Triangular wave function, T r(t) . A. Modulation The modulation strategy uses phase shifted square-waves instead of sine-triangle PWM used in [31]. This modulation technique helps to achieve higher efficiency with lower circuit component requirements and lower complexity in implement￾ing the control algorithm in digital controller. The proposed modulation strategy along… view at source ↗
Figure 3
Figure 3. Figure 3: Flowchart of the algorithm for controlling charging and discharging [PITH_FULL_IMAGE:figures/full_fig_p003_3.png] view at source ↗
Figure 5
Figure 5. Figure 5: The voltages across the inductors are used to obtain the [PITH_FULL_IMAGE:figures/full_fig_p003_5.png] view at source ↗
Figure 6
Figure 6. Figure 6: Different modes of operations of a four cell equalizer, (a) mode I, [PITH_FULL_IMAGE:figures/full_fig_p004_6.png] view at source ↗
Figure 7
Figure 7. Figure 7: (a) Schematic diagram and (b) equivalent circuit of a four cell [PITH_FULL_IMAGE:figures/full_fig_p006_7.png] view at source ↗
Figure 9
Figure 9. Figure 9: Voltages across and currents in the mosfets in [PITH_FULL_IMAGE:figures/full_fig_p007_9.png] view at source ↗
Figure 8
Figure 8. Figure 8: Schematic diagram of the k th converter. III. SOFT-SWITCHING A. Turn-on Transition [PITH_FULL_IMAGE:figures/full_fig_p007_8.png] view at source ↗
Figure 10
Figure 10. Figure 10: Current fall during turn off transition of bottom device, (a) equivalent [PITH_FULL_IMAGE:figures/full_fig_p008_10.png] view at source ↗
Figure 11
Figure 11. Figure 11: Plot of the ratio of turn-off power loss between soft-switched and [PITH_FULL_IMAGE:figures/full_fig_p008_11.png] view at source ↗
Figure 12
Figure 12. Figure 12: Hardware images: (a) voltage equalizer circuit, (b) FPGA based [PITH_FULL_IMAGE:figures/full_fig_p009_12.png] view at source ↗
Figure 13
Figure 13. Figure 13: Experimental waveforms of (a) battery 1 current, (b) battery 2 [PITH_FULL_IMAGE:figures/full_fig_p010_13.png] view at source ↗
Figure 14
Figure 14. Figure 14: Experimental waveforms of (a) battery 1 current, (b) battery 2 [PITH_FULL_IMAGE:figures/full_fig_p010_14.png] view at source ↗
Figure 16
Figure 16. Figure 16: (a) shows the turn-on transition. The voltage across the device, Vds falls to zero before the gate voltage, Vgs starts to rise. So, the current rise in the device occurs at zero voltage across the device. Hence, zero voltage switching (ZVS) is achieved in turn-on transition [PITH_FULL_IMAGE:figures/full_fig_p011_16.png] view at source ↗
Figure 17
Figure 17. Figure 17: Voltages of HUC racks over 18 charge-discharge cycles with the [PITH_FULL_IMAGE:figures/full_fig_p011_17.png] view at source ↗
Figure 19
Figure 19. Figure 19: Applied voltage and resulting inductor current when only one source [PITH_FULL_IMAGE:figures/full_fig_p012_19.png] view at source ↗
Figure 18
Figure 18. Figure 18: Equivalent circuit for square wave modulation, (a) all the sources [PITH_FULL_IMAGE:figures/full_fig_p012_18.png] view at source ↗
Figure 20
Figure 20. Figure 20: Waveforms of gate pulses and inductor current of a converter leg [PITH_FULL_IMAGE:figures/full_fig_p013_20.png] view at source ↗
read the original abstract

Batteries are connected in series to meet the voltage requirement in many applications. A voltage equalizer circuit is necessary to ensure that none of the batteries is over-charged or over-discharged. A novel fast soft-switched cell-to-cell voltage equalizer topology is proposed in this work. This topology can transfer charge from multiple over-charged batteries to multiple under-charged batteries simultaneously avoiding any unnecessary charging or discharging of a battery to achieve fast voltage equalization. The proposed circuit topology and modulation method ensure zero voltage switching under all battery conditions. The circuit operation and soft-switching are analyzed and experimentally verified with a four battery voltage equalizer prototype. The prototype is tested with a battery bank and a hybrid ultra-capacitor bank, and a high conversion efficiency is verified.

Editorial analysis

A structured set of objections, weighed in public.

Desk editor's note, referee report, simulated authors' rebuttal, and a circularity audit. Tearing a paper down is the easy half of reading it; the pith above is the substance, this is the friction.

Referee Report

2 major / 2 minor

Summary. The manuscript proposes a novel fast soft-switched cell-to-cell voltage equalizer topology for series-connected batteries. It claims this topology enables simultaneous charge transfer from multiple over-charged cells to multiple under-charged cells without unnecessary intermediate cycling, that the circuit topology and modulation method guarantee zero-voltage switching (ZVS) under all battery voltage and current conditions, analyzes the operation, and experimentally validates the design with a four-cell prototype tested on both a battery bank and a hybrid ultra-capacitor bank, reporting high conversion efficiency.

Significance. If the simultaneous multi-cell transfer and universal ZVS claims hold, the work could reduce equalization time and switching losses in large-series battery packs used in EVs and grid storage. The experimental prototype with two different storage media supplies concrete feasibility data; reproducible hardware results of this type strengthen the contribution relative to purely simulation-based equalizer papers.

major comments (2)
  1. [modulation / ZVS analysis] § on modulation method / ZVS analysis: the central claim that the proposed modulation produces ZVS for every combination of cell voltages (including the equal-voltage case V1=V2=V3=V4 and simultaneous opposing transfers) and every current direction lacks explicit boundary equations or resonant-current reversal conditions; without these, coverage of the edge cases identified in the stress-test note cannot be verified.
  2. [experimental results] Experimental results section: the prototype verification is asserted to confirm ZVS under all conditions, yet the reported waveforms and test matrix do not enumerate the voltage/current ranges, the equal-voltage operating point, or the simultaneous multi-cell transfer cases; this leaves the load-bearing “all conditions” assertion without sufficient supporting data.
minor comments (2)
  1. [abstract] The abstract states “high conversion efficiency” but supplies no numerical range or load condition; adding a specific efficiency figure would improve clarity.
  2. [circuit description] Notation for the resonant tank components and switch timing variables should be defined once in a table or nomenclature section to avoid repeated inline definitions.

Simulated Author's Rebuttal

2 responses · 0 unresolved

We thank the referee for the constructive feedback on our manuscript. The comments highlight areas where additional explicit derivations and expanded experimental documentation would strengthen the presentation of the ZVS claims. We address each major comment below and indicate the revisions we will make.

read point-by-point responses

  1. Referee: [modulation / ZVS analysis] § on modulation method / ZVS analysis: the central claim that the proposed modulation produces ZVS for every combination of cell voltages (including the equal-voltage case V1=V2=V3=V4 and simultaneous opposing transfers) and every current direction lacks explicit boundary equations or resonant-current reversal conditions; without these, coverage of the edge cases identified in the stress-test note cannot be verified.

    Authors: We agree that the ZVS analysis would benefit from more explicit boundary equations. Section III derives the resonant current paths and shows that the modulation ensures current reversal sufficient for ZVS across voltage combinations, including the equal-voltage case (where the resonant tank still produces the required negative current at turn-on) and opposing transfers. To address the request directly, we will add a new subsection with closed-form boundary conditions on the resonant current reversal for all voltage polarity combinations and current directions, including the V1=V2=V3=V4 case. revision: yes

  2. Referee: [experimental results] Experimental results section: the prototype verification is asserted to confirm ZVS under all conditions, yet the reported waveforms and test matrix do not enumerate the voltage/current ranges, the equal-voltage operating point, or the simultaneous multi-cell transfer cases; this leaves the load-bearing “all conditions” assertion without sufficient supporting data.

    Authors: The existing experimental section includes representative waveforms for simultaneous multi-cell transfers and efficiency data over a range of operating points on both battery and ultracapacitor banks. However, we acknowledge that an explicit test matrix listing all enumerated voltage/current combinations, including the equal-voltage point, would provide clearer support for the universal-ZVS claim. We will expand the results section with an additional table and waveforms covering the equal-voltage case and the full set of simultaneous transfer scenarios tested. revision: yes

Circularity Check

0 steps flagged

No circularity; claims rest on explicit circuit analysis plus prototype measurements

full rationale

The paper presents a circuit topology and modulation scheme whose ZVS property is asserted after analysis of operating modes and then confirmed on a four-cell hardware prototype under battery and ultracapacitor loads. No step reduces a claimed prediction to a fitted parameter, renames an input as an output, or relies on a self-citation chain whose supporting result is itself unverified. The derivation chain therefore remains self-contained against external circuit equations and measured waveforms.

Axiom & Free-Parameter Ledger

0 free parameters · 0 axioms · 0 invented entities

No specific free parameters, axioms, or invented entities are mentioned in the abstract; the work relies on established principles of power electronics and soft-switching techniques.

pith-pipeline@v0.9.0 · 5657 in / 1080 out tokens · 42008 ms · 2026-05-25T08:53:26.772643+00:00 · methodology

discussion (0)

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Reference graph

Works this paper leans on

36 extracted references · 36 canonical work pages

  1. [1]

    Battery balancing methods: A comprehensive review,

    J. Cao, N. Schofield, and A. Emadi, “Battery balancing methods: A comprehensive review,” in Proc. IEEE Veh. Power Propulsion Conf. , DOI 10.1109/VPPC.2008.4677669, pp. 1–6, Sep. 2008

    work page doi:10.1109/vppc.2008.4677669 2008

  2. [2]

    A modularized charge equalizer for an HEV lithium-ion battery string,

    H. S. Park, C. E. Kim, C. H. Kim, G. W. Moon, and J. H. Lee, “A modularized charge equalizer for an HEV lithium-ion battery string,” IEEE Trans. Ind. Electron. , vol. 56, DOI 10.1109/TIE.2009.2012456, no. 5, pp. 1464–1476, May. 2009

    work page doi:10.1109/tie.2009.2012456 2009

  3. [3]

    Design of a charge equalizer based on battery modularization,

    H. S. Park, C. H. Kim, K. B. Park, G. W. Moon, and J. H. Lee, “Design of a charge equalizer based on battery modularization,” IEEE Trans. Veh. Technol., vol. 58, DOI 10.1109/TVT.2009.2015331, no. 7, pp. 3216–3223, Sep. 2009

    work page doi:10.1109/tvt.2009.2015331 2009

  4. [4]

    Improved performance of serially connected li-ion batteries with active cell balancing in electric vehicles,

    M. Einhorn, W. Roessler, and J. Fleig, “Improved performance of serially connected li-ion batteries with active cell balancing in electric vehicles,” IEEE Trans. Veh. Technol. , vol. 60, DOI 10.1109/TVT.2011.2153886, no. 6, pp. 2448–2457, Jul. 2011

    work page doi:10.1109/tvt.2011.2153886 2011

  5. [5]

    A modularized equalization method based on magnetizing energy for a series-connected lithium-ion battery string,

    C. S. Lim, K. J. Lee, N. J. Ku, D. S. Hyun, and R. Y . Kim, “A modularized equalization method based on magnetizing energy for a series-connected lithium-ion battery string,” IEEE Trans. Power Electron., vol. 29, DOI 10.1109/TPEL.2013.2270000, no. 4, pp. 1791– 1799, Apr. 2014

    work page doi:10.1109/tpel.2013.2270000 2013

  6. [6]

    Charge equalisation for series-connected LiFePO4 battery strings,

    C. Hua, Y . Fang, and P. Li, “Charge equalisation for series-connected LiFePO4 battery strings,” IET Power Electron., vol. 8, DOI 10.1049/iet- pel.2014.0567, no. 6, pp. 1017–1025, 2015

    work page doi:10.1049/iet- 2014

  7. [7]

    A charge equalizer with a combination of apwm and pfm control based on a modified half-bridge converter,

    C. Hua and Y . H. Fang, “A charge equalizer with a combination of apwm and pfm control based on a modified half-bridge converter,”IEEE Trans. Power Electron., vol. 31, DOI 10.1109/TPEL.2015.2453438, no. 4, pp. 2970–2979, Apr. 2016

    work page doi:10.1109/tpel.2015.2453438 2015

  8. [8]

    Modified rectifications for im- proving the charge equalisation performance of series-connected battery stack,

    C. Hua, Y . H. Fang, and Y . L. Chen, “Modified rectifications for im- proving the charge equalisation performance of series-connected battery stack,” IET Power Electron , vol. 9, DOI 10.1049/iet-pel.2015.0847, no. 9, pp. 1924–1932, 2016

    work page doi:10.1049/iet-pel.2015.0847 2015

  9. [9]

    Selective buck-boost equalizer for series battery packs,

    M. Tang and T. Stuart, “Selective buck-boost equalizer for series battery packs,” IEEE Trans. Aerosp. Electron. Syst. , vol. 36, DOI 10.1109/7.826322, no. 1, pp. 201–211, Jan. 2000

    work page doi:10.1109/7.826322 2000

  10. [10]

    A modularized two-stage charge equalizer with cell selection switches for series- connected lithium-ion battery string in an HEV,

    C. H. Kim, M. Y . Kim, H. S. Park, and G. W. Moon, “A modularized two-stage charge equalizer with cell selection switches for series- connected lithium-ion battery string in an HEV,” IEEE Trans. Power Electron., vol. 27, DOI 10.1109/TPEL.2012.2185248, no. 8, pp. 3764– 3774, Aug. 2012

    work page doi:10.1109/tpel.2012.2185248 2012

  11. [11]

    Automatic charge equalization circuit based on regulated voltage source for series connected lithium-ion batteries,

    M. Y . Kim, J. W. Kim, C. H. Kim, S. Y . Cho, and G. W. Moon, “Automatic charge equalization circuit based on regulated voltage source for series connected lithium-ion batteries,” in Proc. 8th Int. Conf. Power Electron. - ECCE Asia , DOI 10.1109/ICPE.2011.5944448, pp. 2248–2255, May. 2011

    work page doi:10.1109/icpe.2011.5944448 2011

  12. [12]

    Time shared flyback converter based regenerative cell balancing technique for series connected li- ion battery strings,

    A. M. Imtiaz and F. H. Khan, “Time shared flyback converter based regenerative cell balancing technique for series connected li- ion battery strings,” IEEE Trans. Power Electron. , vol. 28, DOI 10.1109/TPEL.2013.2257861, no. 12, pp. 5960–5975, Dec. 2013

    work page doi:10.1109/tpel.2013.2257861 2013

  13. [13]

    An interleaved equaliza- tion architecture with self-learning fuzzy logic control for series- connected battery strings,

    C. Zhang, Y . Shang, Z. Li, and N. Cui, “An interleaved equaliza- tion architecture with self-learning fuzzy logic control for series- connected battery strings,” IEEE Trans. Veh. Technol. , vol. 66, DOI 10.1109/TVT.2017.2737401, no. 12, pp. 10 923–10 934, Dec. 2017

    work page doi:10.1109/tvt.2017.2737401 2017

  14. [14]

    Lithium-ion battery charge equalization algorithm for elec- tric vehicle applications,

    M. A. Hannan, M. M. Hoque, S. E. Peng, and M. N. Ud- din, “Lithium-ion battery charge equalization algorithm for elec- tric vehicle applications,” IEEE Trans. Ind. Appl. , vol. 53, DOI 10.1109/TIA.2017.2672674, no. 3, pp. 2541–2549, May. 2017

    work page doi:10.1109/tia.2017.2672674 2017

  15. [15]

    Double-switch single-transformer cell voltage equalizer using a half-bridge inverter and a voltage multiplier for series- connected supercapacitors,

    M. Uno and K. Tanaka, “Double-switch single-transformer cell voltage equalizer using a half-bridge inverter and a voltage multiplier for series- connected supercapacitors,” IEEE Trans. Veh. Technol. , vol. 61, DOI 10.1109/TVT.2012.2215892, no. 9, pp. 3920–3930, Nov. 2012

    work page doi:10.1109/tvt.2012.2215892 2012

  16. [16]

    Single-switch single-transformer cell voltage equalizer based on forward flyback resonant inverter and voltage multiplier for series-connected energy storage cells,

    M. Uno and A. Kukita, “Single-switch single-transformer cell voltage equalizer based on forward flyback resonant inverter and voltage multiplier for series-connected energy storage cells,” IEEE Trans. Veh. Technol., vol. 63, DOI 10.1109/TVT.2014.2312381, no. 9, pp. 4232– 4247, Nov. 2014

    work page doi:10.1109/tvt.2014.2312381 2014

  17. [17]

    Increased performance of battery packs by active equalization,

    J. W. Kimball, B. T. Kuhn, and P. T. Krein, “Increased performance of battery packs by active equalization,” in Proc. IEEE Veh. Power Propulsion Conf. , DOI 10.1109/VPPC.2007.4544145, pp. 323–327, Sep. 2007

    work page doi:10.1109/vppc.2007.4544145 2007

  18. [18]

    Zero-current switching switched-capacitor zero-voltage-gap automatic equalization system for series battery string,

    Y . Yuanmao, K. W. E. Cheng, and Y . P. B. Yeung, “Zero-current switching switched-capacitor zero-voltage-gap automatic equalization system for series battery string,” IEEE Trans. Power Electron., vol. 27, DOI 10.1109/TPEL.2011.2181868, no. 7, pp. 3234–3242, Jul. 2012

    work page doi:10.1109/tpel.2011.2181868 2011

  19. [19]

    Low-cost switched capacitor charge equaliser with cancellation mechanism of alternating current,

    C. Hua, C. Chuang, and Y . Fang, “Low-cost switched capacitor charge equaliser with cancellation mechanism of alternating current,” IET Power Electron. , vol. 9, DOI 10.1049/iet-pel.2015.0487, no. 7, pp. 1454–1461, 2016

    work page doi:10.1049/iet-pel.2015.0487 2015

  20. [20]

    Quasi-resonant zero-current-switching bidi- rectional converter for battery equalization applications,

    Y . S. Lee and G. T. Cheng, “Quasi-resonant zero-current-switching bidi- rectional converter for battery equalization applications,” IEEE Trans. Power Electron., vol. 21, DOI 10.1109/TPEL.2006.880349, no. 5, pp. 1213–1224, Sep. 2006

    work page doi:10.1109/tpel.2006.880349 2006

  21. [21]

    Feasibility analysis of a novel cell equalizer topology for plug-in hybrid electric vehicle energy-storage systems,

    P. A. Cassani and S. S. Williamson, “Feasibility analysis of a novel cell equalizer topology for plug-in hybrid electric vehicle energy-storage systems,” IEEE Trans. Veh. Technol. , vol. 58, DOI 10.1109/TVT.2009.2031553, no. 8, pp. 3938–3946, Oct. 2009

    work page doi:10.1109/tvt.2009.2031553 2009

  22. [22]

    A hierarchical active balancing architecture for lithium-ion batteries,

    Z. Zhang, H. Gui, D. J. Gu, Y . Yang, and X. Ren, “A hierarchical active balancing architecture for lithium-ion batteries,” IEEE Trans. Power Electron., vol. 32, DOI 10.1109/TPEL.2016.2575844, no. 4, pp. 2757– 2768, Apr. 2017

    work page doi:10.1109/tpel.2016.2575844 2016

  23. [23]

    A battery management system using an active charge equalization technique based on a dc/dc converter topology,

    S. Yarlagadda, T. T. Hartley, and I. Husain, “A battery management system using an active charge equalization technique based on a dc/dc converter topology,” IEEE Trans. Ind. Appl. , vol. 49, DOI 10.1109/TIA.2013.2264794, no. 6, pp. 2720–2729, Nov. 2013

    work page doi:10.1109/tia.2013.2264794 2013

  24. [24]

    A cell-to-cell battery equalizer with zero-current switching and zero-voltage gap based on quasi-resonant LC converter and boost converter,

    Y . Shang, C. Zhang, N. Cui, and J. M. Guerrero, “A cell-to-cell battery equalizer with zero-current switching and zero-voltage gap based on quasi-resonant LC converter and boost converter,” IEEE Trans. Power Electron., vol. 30, DOI 10.1109/TPEL.2014.2345672, no. 7, pp. 3731– 3747, Jul. 2015

    work page doi:10.1109/tpel.2014.2345672 2014

  25. [25]

    A novel point-to-point energy trans- mission voltage equalizer for series-connected supercapacitors,

    H. Xiong, Y . Fu, and K. Dong, “A novel point-to-point energy trans- mission voltage equalizer for series-connected supercapacitors,” IEEE Trans. Veh. Technol., vol. 65, DOI 10.1109/TVT.2015.2512998, no. 6, pp. 4669–4675, Jun. 2016

    work page doi:10.1109/tvt.2015.2512998 2015

  26. [26]

    Active balancing of li- ion battery cells using transformer as energy carrier,

    K. M. Lee, S. W. Lee, Y . G. Choi, and B. Kang, “Active balancing of li- ion battery cells using transformer as energy carrier,” IEEE Trans. Ind. Electron., vol. 64, DOI 10.1109/TIE.2016.2611481, no. 2, pp. 1251– 1257, Feb. 2017

    work page doi:10.1109/tie.2016.2611481 2016

  27. [27]

    An automatic equalizer based on forward flyback converter for series- connected battery strings,

    Y . Shang, B. Xia, C. Zhang, N. Cui, J. Yang, and C. C. Mi, “An automatic equalizer based on forward flyback converter for series- connected battery strings,” IEEE Trans. Ind. Electron. , vol. 64, DOI 10.1109/TIE.2017.2674617, no. 7, pp. 5380–5391, Jul. 2017

    work page doi:10.1109/tie.2017.2674617 2017

  28. [28]

    A delta-structured switched- capacitor equalizer for series-connected battery strings,

    Y . Shang, C. Zhang, N. Cui, and C. Mi, “A delta-structured switched- capacitor equalizer for series-connected battery strings,” IEEE Trans. Power Electron., DOI 10.1109/TPEL.2018.2826010, pp. 1–1, 2018

    work page doi:10.1109/tpel.2018.2826010 2018

  29. [29]

    Topology, modeling, and design of switched-capacitor-based cell balancing sys- tems and their balancing exploration,

    Y . Ye, K. W. E. Cheng, Y . C. Fong, X. Xue, and J. Lin, “Topology, modeling, and design of switched-capacitor-based cell balancing sys- tems and their balancing exploration,” IEEE Transactions on Power Electronics, vol. 32, DOI 10.1109/TPEL.2016.2584925, no. 6, pp. 4444–4454, Jun. 2017

    work page doi:10.1109/tpel.2016.2584925 2016

  30. [30]

    Energy bus-based equal- ization scheme with bi-directional isolated cuk equalizer for series connected battery strings,

    R. Ling, Q. Dan, L. Wang, and D. Li, “Energy bus-based equal- ization scheme with bi-directional isolated cuk equalizer for series connected battery strings,” in Proc. IEEE Appl. Power Electron. Conf. Expo. (APEC) , DOI 10.1109/APEC.2015.7104831, pp. 3335–3340, Mar. 2015

    work page doi:10.1109/apec.2015.7104831 2015

  31. [31]

    A capacitively level shifted fast cell-to- cell battery voltage equalizer,

    S. K. Dam and V . John, “A capacitively level shifted fast cell-to- cell battery voltage equalizer,” in Proc. IEEE Int. Transportation and Electrification Conf. India (ITEC-India) , Dec. 2017. 15

    work page 2017

  32. [32]

    Design methodologies for soft switched inverters,

    D. M. Divan, G. Venkataramanan, and R. W. A. A. DeDoncker, “Design methodologies for soft switched inverters,” IEEE Trans. Ind. Appl. , vol. 29, DOI 10.1109/28.195898, no. 1, pp. 126–135, Jan. 1993

    work page doi:10.1109/28.195898 1993

  33. [33]

    R. W. Erickson and D. Maksimovic, Fundamentals of Power Electron- ics, 2nd ed. Springer, 2001

    work page 2001

  34. [34]

    OptiMOS 5 Power-MOSFET BSC009NE2LS5I

    Infineon Technologies, “OptiMOS 5 Power-MOSFET BSC009NE2LS5I.” [Online]. Available: https://www.infineon. com/dgdl/Infineon-BSC009NE2LS5I-DS-v0200-EN.pdf?fileId= 5546d4624bcaebcf014c09a38586234e

    work page

  35. [35]

    A 12 v substrate-integrated PbO2-activated carbon asym- metric hybrid ultracapacitor with silica-gel-based inorganic-polymer electrolyte,

    A. Banerjee, M. K. Ravikumar, A. Jalajakshi, S. A. Gaffoor, and A. K. Shukla, “A 12 v substrate-integrated PbO2-activated carbon asym- metric hybrid ultracapacitor with silica-gel-based inorganic-polymer electrolyte,” ECS Trans., vol. 41, DOI 10.1149/1.3691913, no. 13, pp. 101–113, 2012

    work page doi:10.1149/1.3691913 2012

  36. [36]

    FTV EV/HEV battery module test system

    Bitrode, “FTV EV/HEV battery module test system.” [Online]. Available: http://www.bitrode.com/wp-content/uploads/2013/ 12/data-sheet-FTV-2017-web.pdf

    work page 2013