---
_id: '48352'
abstract:
- lang: eng
  text: Star-connected cascaded H-bridge Converters require large DC-link capacitors
    to buffer the second-order harmonic voltage ripple. First, it is analytically
    proven that the DC-link voltage ripple is proportional to the apparent converter
    power and does not depend on the power factor for nominal operation with sinusoidal
    reference arm voltages and currents. A third-harmonic zero-sequence voltage injection
    with an optimal amplitude and phase angle transforms the 2nd harmonic to a 4th
    harmonic DC-link voltage ripple. This reduces the voltage ripple by exactly 50%
    for all power factors at steady-state at balanced conditions. However, this requires
    54% additional modules for unity power factor operation and even 100% for pure
    reactive power operation to account for the increased reference arm voltages due
    to the large amplitude of the optimal third-harmonic injection. If not enough
    modules are available, an adaptive discontinuous PWM is utilized to still minimize
    the voltage ripple for the given number of modules and power factor. With a very
    limited number of modules (modulation index is 1.15), the proposed method still
    reduces the DC-link voltage ripple by 24.4% for unity power factor operation.
    It requires the same number of modules as the commonly utilized 3rd harmonic injection
    with 1/6 of the grid voltage amplitude and achieves superior results. Simulations
    of a 10 kV/1 MVA system confirm the analysis.
author:
- first_name: Roland
  full_name: Unruh, Roland
  id: '34289'
  last_name: Unruh
- first_name: Joachim
  full_name: Böcker, Joachim
  id: '66'
  last_name: Böcker
  orcid: 0000-0002-8480-7295
- first_name: Frank
  full_name: Schafmeister, Frank
  id: '71291'
  last_name: Schafmeister
citation:
  ama: 'Unruh R, Böcker J, Schafmeister F. An Optimized Third-Harmonic Injection Reduces
    DC-Link Voltage Ripple in Cascaded H-Bridge Converters up to 50% for all Power
    Factors. In: <i>2023 25th European Conference on Power Electronics and Applications
    (EPE’23 ECCE Europe)</i>. IEEE; 2023. doi:<a href="https://doi.org/10.23919/epe23ecceeurope58414.2023.10264313">10.23919/epe23ecceeurope58414.2023.10264313</a>'
  apa: Unruh, R., Böcker, J., &#38; Schafmeister, F. (2023). An Optimized Third-Harmonic
    Injection Reduces DC-Link Voltage Ripple in Cascaded H-Bridge Converters up to
    50% for all Power Factors. <i>2023 25th European Conference on Power Electronics
    and Applications (EPE’23 ECCE Europe)</i>. 2023 25th European Conference on Power
    Electronics and Applications (EPE’23 ECCE Europe), Aalborg, Denmark. <a href="https://doi.org/10.23919/epe23ecceeurope58414.2023.10264313">https://doi.org/10.23919/epe23ecceeurope58414.2023.10264313</a>
  bibtex: '@inproceedings{Unruh_Böcker_Schafmeister_2023, title={An Optimized Third-Harmonic
    Injection Reduces DC-Link Voltage Ripple in Cascaded H-Bridge Converters up to
    50% for all Power Factors}, DOI={<a href="https://doi.org/10.23919/epe23ecceeurope58414.2023.10264313">10.23919/epe23ecceeurope58414.2023.10264313</a>},
    booktitle={2023 25th European Conference on Power Electronics and Applications
    (EPE’23 ECCE Europe)}, publisher={IEEE}, author={Unruh, Roland and Böcker, Joachim
    and Schafmeister, Frank}, year={2023} }'
  chicago: Unruh, Roland, Joachim Böcker, and Frank Schafmeister. “An Optimized Third-Harmonic
    Injection Reduces DC-Link Voltage Ripple in Cascaded H-Bridge Converters up to
    50% for All Power Factors.” In <i>2023 25th European Conference on Power Electronics
    and Applications (EPE’23 ECCE Europe)</i>. IEEE, 2023. <a href="https://doi.org/10.23919/epe23ecceeurope58414.2023.10264313">https://doi.org/10.23919/epe23ecceeurope58414.2023.10264313</a>.
  ieee: 'R. Unruh, J. Böcker, and F. Schafmeister, “An Optimized Third-Harmonic Injection
    Reduces DC-Link Voltage Ripple in Cascaded H-Bridge Converters up to 50% for all
    Power Factors,” presented at the 2023 25th European Conference on Power Electronics
    and Applications (EPE’23 ECCE Europe), Aalborg, Denmark, 2023, doi: <a href="https://doi.org/10.23919/epe23ecceeurope58414.2023.10264313">10.23919/epe23ecceeurope58414.2023.10264313</a>.'
  mla: Unruh, Roland, et al. “An Optimized Third-Harmonic Injection Reduces DC-Link
    Voltage Ripple in Cascaded H-Bridge Converters up to 50% for All Power Factors.”
    <i>2023 25th European Conference on Power Electronics and Applications (EPE’23
    ECCE Europe)</i>, IEEE, 2023, doi:<a href="https://doi.org/10.23919/epe23ecceeurope58414.2023.10264313">10.23919/epe23ecceeurope58414.2023.10264313</a>.
  short: 'R. Unruh, J. Böcker, F. Schafmeister, in: 2023 25th European Conference
    on Power Electronics and Applications (EPE’23 ECCE Europe), IEEE, 2023.'
conference:
  end_date: 2023-09-08
  location: Aalborg, Denmark
  name: 2023 25th European Conference on Power Electronics and Applications (EPE'23
    ECCE Europe)
  start_date: 2023-09-04
date_created: 2023-10-20T07:13:32Z
date_updated: 2023-10-20T10:01:02Z
department:
- _id: '52'
doi: 10.23919/epe23ecceeurope58414.2023.10264313
keyword:
- Cascaded H-Bridge
- Solid-State Transformer
- Capacitor voltage ripple
- Zero sequence voltage
- Third harmonic injection
language:
- iso: eng
main_file_link:
- url: https://ieeexplore.ieee.org/abstract/document/10264313
publication: 2023 25th European Conference on Power Electronics and Applications (EPE'23
  ECCE Europe)
publication_identifier:
  isbn:
  - 979-8-3503-1678-0
publication_status: published
publisher: IEEE
quality_controlled: '1'
status: public
title: An Optimized Third-Harmonic Injection Reduces DC-Link Voltage Ripple in Cascaded
  H-Bridge Converters up to 50% for all Power Factors
type: conference
user_id: '34289'
year: '2023'
...
---
_id: '34176'
abstract:
- lang: eng
  text: Cascaded H-bridge Converters (CHBs) are a promising solution in converting
    power from a three-phase medium voltage of 6.6 kV...30 kV to a lower DC-voltage
    in the range of 100 V...1 kV to provide pure DC power to applications such as
    electrolyzers for hydrogen generation, data centers with a DC power distribution
    and DC microgrids. CHBs can be interpreted as modular multilevel converters with
    an isolated DC-DC output stage per module, require a large DC-link capacitor for
    each module to handle the second harmonic voltage ripple caused by the fluctuating
    input power within a fundamental grid period. Without a zero-sequence voltage
    injection, star-connected CHBs are operated with approximately sinusoidal arm
    voltages and currents. The floating star point potential enables to utilize different
    zero-sequence voltage injection techniques such as a third-harmonic injection
    with 1/6 of the grid voltage amplitude or a Min-Max voltage injection. Both well-known
    methods have the advantage to reduce the peak arm voltage and thereby the number
    of required modules by 13.4 % (to √ 3 2). This paper proves analytically that
    the third-harmonic injection with 1/6 of the grid voltage amplitude reduces the
    second harmonic voltage ripple by only 15.1 % compared to no-voltage injection
    for unity power factor operation and balanced grid voltages. Then it is shown,
    that the Min-Max injection has the often overlooked advantage of reducing the
    second harmonic voltage ripple by even 18.8 %. By applying the here proposed zero-sequence
    voltage injection in saturation modulation, the second harmonic voltage ripple
    of the DC-link capacitors is reduced by even 24.3 %, while still requiring the
    same number of modules as the Min-Max injection. For a realistic number of reserve
    modules, the overall energy ripple in the DC-link capacitors is reduced by 40
    %.
author:
- first_name: Roland
  full_name: Unruh, Roland
  id: '34289'
  last_name: Unruh
- first_name: Frank
  full_name: Schafmeister, Frank
  id: '71291'
  last_name: Schafmeister
- first_name: Joachim
  full_name: Böcker, Joachim
  id: '66'
  last_name: Böcker
  orcid: 0000-0002-8480-7295
citation:
  ama: 'Unruh R, Schafmeister F, Böcker J. Zero-Sequence Voltage Reduces DC-Link Capacitor
    Demand in Cascaded H-Bridge Converters for Large-Scale Electrolyzers by 40%. In:
    <i>24th European Conference on Power Electronics and Applications (EPE’22 ECCE
    Europe)</i>. IEEE; 2022.'
  apa: Unruh, R., Schafmeister, F., &#38; Böcker, J. (2022). Zero-Sequence Voltage
    Reduces DC-Link Capacitor Demand in Cascaded H-Bridge Converters for Large-Scale
    Electrolyzers by 40%. <i>24th European Conference on Power Electronics and Applications
    (EPE’22 ECCE Europe)</i>. 24th European Conference on Power Electronics and Applications
    (EPE’22 ECCE Europe), Hanover, Germany.
  bibtex: '@inproceedings{Unruh_Schafmeister_Böcker_2022, title={Zero-Sequence Voltage
    Reduces DC-Link Capacitor Demand in Cascaded H-Bridge Converters for Large-Scale
    Electrolyzers by 40%}, booktitle={24th European Conference on Power Electronics
    and Applications (EPE’22 ECCE Europe)}, publisher={IEEE}, author={Unruh, Roland
    and Schafmeister, Frank and Böcker, Joachim}, year={2022} }'
  chicago: Unruh, Roland, Frank Schafmeister, and Joachim Böcker. “Zero-Sequence Voltage
    Reduces DC-Link Capacitor Demand in Cascaded H-Bridge Converters for Large-Scale
    Electrolyzers by 40%.” In <i>24th European Conference on Power Electronics and
    Applications (EPE’22 ECCE Europe)</i>. IEEE, 2022.
  ieee: R. Unruh, F. Schafmeister, and J. Böcker, “Zero-Sequence Voltage Reduces DC-Link
    Capacitor Demand in Cascaded H-Bridge Converters for Large-Scale Electrolyzers
    by 40%,” presented at the 24th European Conference on Power Electronics and Applications
    (EPE’22 ECCE Europe), Hanover, Germany, 2022.
  mla: Unruh, Roland, et al. “Zero-Sequence Voltage Reduces DC-Link Capacitor Demand
    in Cascaded H-Bridge Converters for Large-Scale Electrolyzers by 40%.” <i>24th
    European Conference on Power Electronics and Applications (EPE’22 ECCE Europe)</i>,
    IEEE, 2022.
  short: 'R. Unruh, F. Schafmeister, J. Böcker, in: 24th European Conference on Power
    Electronics and Applications (EPE’22 ECCE Europe), IEEE, 2022.'
conference:
  end_date: 2022-09-09
  location: Hanover, Germany
  name: 24th European Conference on Power Electronics and Applications (EPE'22 ECCE
    Europe)
  start_date: 2022-09-05
date_created: 2022-12-02T12:47:38Z
date_updated: 2023-10-23T09:04:23Z
department:
- _id: '52'
keyword:
- Cascaded H-Bridge
- Solid-State Transformer
- Zero sequence voltage
- Third harmonic injection
- Capacitor voltage ripple
language:
- iso: eng
main_file_link:
- url: https://ieeexplore.ieee.org/abstract/document/9907278
publication: 24th European Conference on Power Electronics and Applications (EPE'22
  ECCE Europe)
publication_identifier:
  isbn:
  - 978-9-0758-1539-9
publication_status: published
publisher: IEEE
status: public
title: Zero-Sequence Voltage Reduces DC-Link Capacitor Demand in Cascaded H-Bridge
  Converters for Large-Scale Electrolyzers by 40%
type: conference
user_id: '34289'
year: '2022'
...
---
_id: '29938'
abstract:
- lang: eng
  text: Modular solid-state transformers (SSTs) are a promising technology in converting
    power from a 10kV three-phase medium voltage to a lower DC-voltage in the range
    of 100…400V to provide pure DC power to applications such as electrolyzers for
    hydrogen generation, data centers with a DC power distribution and DC micro grids.
    Modular SSTs which can be interpreted as modular multilevel converters with an
    isolated DC-DC output stage per module, are designed with redundant modules to
    increase reliability. Usually, each of the three arms operates independently,
    and therefore, only a fixed number of faulty modules can be compensated in each
    arm, even if all modules are operational in the remaining two arms. With the proposed
    zero-sequence voltage injection, up to 100% more faulty modules can be compensated
    in an arm by employing the same hardware. In addition, module power imbalances
    are nearly eliminated by utilizing a fundamental frequency zero-sequence voltage.
    A dominant 3rd harmonic zero-sequence voltage injection in combination with the
    5th, 7th and several higher order harmonics with adaptive (small) amplitudes minimize
    the required arm voltages at steady-state. For nominal operation or symmetrical
    faults, the proposed technique is equivalent to the well known Min-Max voltage
    injection, which already reduces the peak arm voltage by 13.4% compared to a constant
    star point potential. A statistical analysis proves, that the expected number
    of tolerable faulty modules of the 1MW SST increases by 12% without the need for
    additional hardware.
author:
- first_name: Roland
  full_name: Unruh, Roland
  id: '34289'
  last_name: Unruh
- first_name: Jarren
  full_name: Lange, Jarren
  id: '78801'
  last_name: Lange
- first_name: Frank
  full_name: Schafmeister, Frank
  id: '71291'
  last_name: Schafmeister
- first_name: Joachim
  full_name: Böcker, Joachim
  id: '66'
  last_name: Böcker
  orcid: 0000-0002-8480-7295
citation:
  ama: 'Unruh R, Lange J, Schafmeister F, Böcker J. Adaptive Zero-Sequence Voltage
    Injection for Modular Solid-State Transformer to Compensate for Asymmetrical Fault
    Conditions. In: <i>23rd European Conference on Power Electronics and Applications
    (EPE’21 ECCE Europe)</i>. IEEE; 2021. doi:<a href="https://doi.org/10.23919/EPE21ECCEEurope50061.2021.9570542">https://doi.org/10.23919/EPE21ECCEEurope50061.2021.9570542</a>'
  apa: Unruh, R., Lange, J., Schafmeister, F., &#38; Böcker, J. (2021). Adaptive Zero-Sequence
    Voltage Injection for Modular Solid-State Transformer to Compensate for Asymmetrical
    Fault Conditions. <i>23rd European Conference on Power Electronics and Applications
    (EPE’21 ECCE Europe)</i>. 23rd European Conference on Power Electronics and Applications
    (EPE’21 ECCE Europe), Ghent, Belgium. <a href="https://doi.org/10.23919/EPE21ECCEEurope50061.2021.9570542">https://doi.org/10.23919/EPE21ECCEEurope50061.2021.9570542</a>
  bibtex: '@inproceedings{Unruh_Lange_Schafmeister_Böcker_2021, title={Adaptive Zero-Sequence
    Voltage Injection for Modular Solid-State Transformer to Compensate for Asymmetrical
    Fault Conditions}, DOI={<a href="https://doi.org/10.23919/EPE21ECCEEurope50061.2021.9570542">https://doi.org/10.23919/EPE21ECCEEurope50061.2021.9570542</a>},
    booktitle={23rd European Conference on Power Electronics and Applications (EPE’21
    ECCE Europe)}, publisher={IEEE}, author={Unruh, Roland and Lange, Jarren and Schafmeister,
    Frank and Böcker, Joachim}, year={2021} }'
  chicago: Unruh, Roland, Jarren Lange, Frank Schafmeister, and Joachim Böcker. “Adaptive
    Zero-Sequence Voltage Injection for Modular Solid-State Transformer to Compensate
    for Asymmetrical Fault Conditions.” In <i>23rd European Conference on Power Electronics
    and Applications (EPE’21 ECCE Europe)</i>. IEEE, 2021. <a href="https://doi.org/10.23919/EPE21ECCEEurope50061.2021.9570542">https://doi.org/10.23919/EPE21ECCEEurope50061.2021.9570542</a>.
  ieee: 'R. Unruh, J. Lange, F. Schafmeister, and J. Böcker, “Adaptive Zero-Sequence
    Voltage Injection for Modular Solid-State Transformer to Compensate for Asymmetrical
    Fault Conditions,” presented at the 23rd European Conference on Power Electronics
    and Applications (EPE’21 ECCE Europe), Ghent, Belgium, 2021, doi: <a href="https://doi.org/10.23919/EPE21ECCEEurope50061.2021.9570542">https://doi.org/10.23919/EPE21ECCEEurope50061.2021.9570542</a>.'
  mla: Unruh, Roland, et al. “Adaptive Zero-Sequence Voltage Injection for Modular
    Solid-State Transformer to Compensate for Asymmetrical Fault Conditions.” <i>23rd
    European Conference on Power Electronics and Applications (EPE’21 ECCE Europe)</i>,
    IEEE, 2021, doi:<a href="https://doi.org/10.23919/EPE21ECCEEurope50061.2021.9570542">https://doi.org/10.23919/EPE21ECCEEurope50061.2021.9570542</a>.
  short: 'R. Unruh, J. Lange, F. Schafmeister, J. Böcker, in: 23rd European Conference
    on Power Electronics and Applications (EPE’21 ECCE Europe), IEEE, 2021.'
conference:
  end_date: 2021-09-10
  location: Ghent, Belgium
  name: 23rd European Conference on Power Electronics and Applications (EPE'21 ECCE
    Europe)
  start_date: 2021-09-06
date_created: 2022-02-21T16:31:34Z
date_updated: 2022-09-09T12:01:42Z
department:
- _id: '52'
doi: https://doi.org/10.23919/EPE21ECCEEurope50061.2021.9570542
keyword:
- Solid-State Transformer
- Zero sequence voltage
- Fault handling strategy
- Power balance control technique
- Three-phase system
language:
- iso: eng
main_file_link:
- url: https://ieeexplore.ieee.org/abstract/document/9570542
publication: 23rd European Conference on Power Electronics and Applications (EPE'21
  ECCE Europe)
publication_identifier:
  isbn:
  - 978-9-0758-1537-5
publication_status: published
publisher: IEEE
status: public
title: Adaptive Zero-Sequence Voltage Injection for Modular Solid-State Transformer
  to Compensate for Asymmetrical Fault Conditions
type: conference
user_id: '34289'
year: '2021'
...
---
_id: '29940'
abstract:
- lang: eng
  text: A full-bridge modular multilevel converter (MMC) is compared to a half-bridge-based
    MMC for high-current low-voltage DC-applications such as electrolysis, arc welding
    or datacenters with DC-power distribution. Usually, modular multilevel converters
    are used in high-voltage DC-applications (HVDC) in the multiple kV-range, but
    to meet the needs of a high-current demand at low output voltage levels, the modular
    converter concept requires adaptations. In the proposed concept, the MMC is used
    to step-down the three-phase medium-voltage of 10 kV. Therefore, each module is
    extended by an LLC resonant converter to adapt to the specific electrolyzers DC-voltage
    range of 142-220V and to provide galvanic isolation. The proposed MMC converter
    with full-bridge modules uses half the number of modules compared to a half-bridge-based
    MMC while reducing the voltage ripple by 78% and capacitor losses by 64% by rearranging
    the same components to ensure identical costs and volume. For additional reliability,
    a new robust algorithm for balancing conduction losses during the bypass phase
    is presented.
author:
- first_name: Roland
  full_name: Unruh, Roland
  id: '34289'
  last_name: Unruh
- first_name: Frank
  full_name: Schafmeister, Frank
  id: '71291'
  last_name: Schafmeister
- first_name: Norbert
  full_name: Fröhleke, Norbert
  last_name: Fröhleke
- first_name: Joachim
  full_name: Böcker, Joachim
  id: '66'
  last_name: Böcker
  orcid: 0000-0002-8480-7295
citation:
  ama: 'Unruh R, Schafmeister F, Fröhleke N, Böcker J. 1-MW Full-Bridge MMC for High-Current
    Low-Voltage (100V-400V) DC-Applications. In: <i>PCIM Europe Digital Days 2020;
    International Exhibition and Conference for Power Electronics, Intelligent Motion,
    Renewable Energy and Energy Management</i>. VDE; 2020.'
  apa: Unruh, R., Schafmeister, F., Fröhleke, N., &#38; Böcker, J. (2020). 1-MW Full-Bridge
    MMC for High-Current Low-Voltage (100V-400V) DC-Applications. <i>PCIM Europe Digital
    Days 2020; International Exhibition and Conference for Power Electronics, Intelligent
    Motion, Renewable Energy and Energy Management</i>. PCIM Europe digital days 2020,
    Germany.
  bibtex: '@inproceedings{Unruh_Schafmeister_Fröhleke_Böcker_2020, title={1-MW Full-Bridge
    MMC for High-Current Low-Voltage (100V-400V) DC-Applications}, booktitle={PCIM
    Europe digital days 2020; International Exhibition and Conference for Power Electronics,
    Intelligent Motion, Renewable Energy and Energy Management}, publisher={VDE},
    author={Unruh, Roland and Schafmeister, Frank and Fröhleke, Norbert and Böcker,
    Joachim}, year={2020} }'
  chicago: Unruh, Roland, Frank Schafmeister, Norbert Fröhleke, and Joachim Böcker.
    “1-MW Full-Bridge MMC for High-Current Low-Voltage (100V-400V) DC-Applications.”
    In <i>PCIM Europe Digital Days 2020; International Exhibition and Conference for
    Power Electronics, Intelligent Motion, Renewable Energy and Energy Management</i>.
    VDE, 2020.
  ieee: R. Unruh, F. Schafmeister, N. Fröhleke, and J. Böcker, “1-MW Full-Bridge MMC
    for High-Current Low-Voltage (100V-400V) DC-Applications,” presented at the PCIM
    Europe digital days 2020, Germany, 2020.
  mla: Unruh, Roland, et al. “1-MW Full-Bridge MMC for High-Current Low-Voltage (100V-400V)
    DC-Applications.” <i>PCIM Europe Digital Days 2020; International Exhibition and
    Conference for Power Electronics, Intelligent Motion, Renewable Energy and Energy
    Management</i>, VDE, 2020.
  short: 'R. Unruh, F. Schafmeister, N. Fröhleke, J. Böcker, in: PCIM Europe Digital
    Days 2020; International Exhibition and Conference for Power Electronics, Intelligent
    Motion, Renewable Energy and Energy Management, VDE, 2020.'
conference:
  end_date: 2020-07-08
  location: Germany
  name: PCIM Europe digital days 2020
  start_date: 2020-07-07
date_created: 2022-02-21T16:42:30Z
date_updated: 2023-10-20T11:52:39Z
department:
- _id: '52'
keyword:
- Cascaded H-Bridge
- Solid-State Transformer
- Capacitor voltage ripple
- Zero sequence voltage
- Full-Bridge
language:
- iso: eng
main_file_link:
- url: https://ieeexplore.ieee.org/abstract/document/9178138
publication: PCIM Europe digital days 2020; International Exhibition and Conference
  for Power Electronics, Intelligent Motion, Renewable Energy and Energy Management
publication_identifier:
  isbn:
  - 978-3-8007-5245-4
publication_status: published
publisher: VDE
status: public
title: 1-MW Full-Bridge MMC for High-Current Low-Voltage (100V-400V) DC-Applications
type: conference
user_id: '34289'
year: '2020'
...
