IDEAS home Printed from https://ideas.repec.org/a/eee/energy/v199y2020ics0360544220305776.html
   My bibliography  Save this article

Analytic formulation and optimization of weighted total harmonic distortion in single-phase staircase modulated multilevel inverters

Author

Listed:
  • Barbie, Eli
  • Rabinovici, Raul
  • Kuperman, Alon

Abstract

Weighted total harmonic distortion (WTHD) is an important performance merit, representing either current or voltage quality of voltage source inverters. Unlike general (non-weighted) THD, which can be evaluated using a closed-form analytic time-domain expression, WTHD is typically calculated using approximate frequency-domain numerical approaches. The paper reveals a novel analytic WTHD expression for output voltage of Staircase Modulated (SCM) single-phase Multi-Level Inverters (MLI). The proposed formula, valid for SCM MLI of arbitrary topology with any number and parity of voltage levels, is a function of all switching angles (SA) only and may thus be easily implemented in common symbolic/numeric computing software. Due to its analytical nature, the WTHD expression yields highly accurate results, eliminating the risk of round-off and underestimation errors, associated with conventional frequency-based numerical approaches. Furthermore, based on the proposed formula, Optimal Minimization of WTHD was carried out for accurate calculation of optimum SA, yielding minimum WTHD for desired modulation index. Eight sets of high-resolution (1171 samples per level) look-up tables, linking desired modulation index to optimum SA values, were generated. A downloadable file, containing MATLAB coded WTHD functions and the eight look-up tables, are provided as a shortened URL. In order to verify the proposed expression, analytic WTHD values are compared with results obtained in previous works. In addition, the methodology was validated utilizing Processor-in-Loop simulation of 7 and 8 level SCM MLI.

Suggested Citation

  • Barbie, Eli & Rabinovici, Raul & Kuperman, Alon, 2020. "Analytic formulation and optimization of weighted total harmonic distortion in single-phase staircase modulated multilevel inverters," Energy, Elsevier, vol. 199(C).
    • Handle: RePEc:eee:energy:v:199:y:2020:i:c:s0360544220305776
    DOI: 10.1016/j.energy.2020.117470
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0360544220305776
    Download Restriction: Full text for ScienceDirect subscribers only
    File URL: https://libkey.io/10.1016/j.energy.2020.117470?utm_source=ideas
    LibKey link: if access is restricted and if your library uses this service, LibKey will redirect you to where you can use your library subscription to access this item
    ---><---

    As the access to this document is restricted, you may want to search for a different version of it.

    References listed on IDEAS

    as
    1. E, Jiaqiang & Zhao, Xiaohuan & Liu, Guanlin & Zhang, Bin & Zuo, Qingsong & Wei, Kexiang & Li, Hongmei & Han, Dandan & Gong, Jinke, 2019. "Effects analysis on optimal microwave energy consumption in the heating process of composite regeneration for the diesel particulate filter," Applied Energy, Elsevier, vol. 254(C).
    2. Manbachi, Moein & Farhangi, Hassan & Palizban, Ali & Arzanpour, Siamak, 2016. "Smart grid adaptive energy conservation and optimization engine utilizing Particle Swarm Optimization and Fuzzification," Applied Energy, Elsevier, vol. 174(C), pages 69-79.
    3. Sudha Letha, Shimi & Thakur, Tilak & Kumar, Jagdish, 2016. "Harmonic elimination of a photo-voltaic based cascaded H-bridge multilevel inverter using PSO (particle swarm optimization) for induction motor drive," Energy, Elsevier, vol. 107(C), pages 335-346.
    4. Zhang, Bin & E, Jiaqiang & Gong, Jinke & Yuan, Wenhua & Zuo, Wei & Li, Yu & Fu, Jun, 2016. "Multidisciplinary design optimization of the diesel particulate filter in the composite regeneration process," Applied Energy, Elsevier, vol. 181(C), pages 14-28.
    5. Farhadi Kangarlu, Mohammad & Alizadeh Pahlavani, Mohammad Reza, 2014. "Cascaded multilevel converter based superconducting magnetic energy storage system for frequency control," Energy, Elsevier, vol. 70(C), pages 504-513.
    6. Pouresmaeil, Edris & Gomis-Bellmunt, Oriol & Montesinos-Miracle, Daniel & Bergas-Jané, Joan, 2011. "Multilevel converters control for renewable energy integration to the power grid," Energy, Elsevier, vol. 36(2), pages 950-963.
    Full references (including those not matched with items on IDEAS)

    Citations

    Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
    as


    Cited by:

    1. Barbie, Eli & Rabinovici, Raul & Kuperman, Alon, 2021. "Analytical formulation and optimization of Weighted Total Harmonic Distortion in three-phase staircase modulated multilevel inverters," Energy, Elsevier, vol. 215(PA).

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. Gang Wu & Guoda Feng & Yuelin Li & Tao Ling & Xuejun Peng & Zhilai Su & Xiaohuan Zhao, 2024. "A Review of Thermal Energy Management of Diesel Exhaust after-Treatment Systems Technology and Efficiency Enhancement Approaches," Energies, MDPI, vol. 17(3), pages 1-32, January.
    2. Zuo, Qingsong & Xie, Yong & E, Jiaqiang & Zhu, Xinning & Zhang, Bin & Tang, Yuanyou & Zhu, Guohui & Wang, Zhiqi & Zhang, Jianping, 2020. "Effect of different exhaust parameters on NO conversion efficiency enhancement of a dual-carrier catalytic converter in the gasoline engine," Energy, Elsevier, vol. 191(C).
    3. Zhu, Xinning & Zuo, Qingsong & Tang, Yuanyou & Xie, Yong & Shen, Zhuang & Yang, Xiaomei, 2022. "Performance enhancement of equilibrium regeneration in a gasoline particulate filter based on field synergy theory," Energy, Elsevier, vol. 244(PA).
    4. Agarwal, Avinash Kumar & Mustafi, Nirendra Nath, 2021. "Real-world automotive emissions: Monitoring methodologies, and control measures," Renewable and Sustainable Energy Reviews, Elsevier, vol. 137(C).
    5. Gong, Shixin & Shao, Cheng & Zhu, Li, 2021. "Energy efficiency enhancement of energy and materials for ethylene production based on two-stage coordinated optimization scheme," Energy, Elsevier, vol. 217(C).
    6. Zhao, Xiaohuan & E, Jiaqiang & Zhang, Zhiqing & Chen, Jingwei & Liao, Gaoliang & Zhang, Feng & Leng, Erwei & Han, Dandan & Hu, Wenyu, 2020. "A review on heat enhancement in thermal energy conversion and management using Field Synergy Principle," Applied Energy, Elsevier, vol. 257(C).
    7. Ye, Jiahao & E, Jiaqiang & Peng, Qingguo, 2023. "Effects of porosity setting and multilayers of diesel particulate filter on the improvement of regeneration performance," Energy, Elsevier, vol. 263(PE).
    8. Zuo, Hongyan & Zhang, Bin & Huang, Zhonghua & Wei, Kexiang & Zhu, Hong & Tan, Jiqiu, 2022. "Effect analysis on SOC values of the power lithium manganate battery during discharging process and its intelligent estimation," Energy, Elsevier, vol. 238(PB).
    9. Zhao, Xiaohuan & Zuo, Hongyan & Jia, Guohai, 2022. "Effect analysis on pressure sensitivity performance of diesel particulate filter for heavy-duty truck diesel engine by the nonlinear soot regeneration combustion pressure model," Energy, Elsevier, vol. 257(C).
    10. Saxena, Vishal & Kumar, Niraj & Saxena, Vinod Kumar, 2019. "Multi-objective optimization of modified nanofluid fuel blends at different TiO2 nanoparticle concentration in diesel engine: Experimental assessment and modeling," Applied Energy, Elsevier, vol. 248(C), pages 330-353.
    11. Mehrasa, Majid & Pouresmaeil, Edris & Akorede, Mudathir Funsho & Jørgensen, Bo Nørregaard & Catalão, João P.S., 2015. "Multilevel converter control approach of active power filter for harmonics elimination in electric grids," Energy, Elsevier, vol. 84(C), pages 722-731.
    12. E, Jiaqiang & Pham, MinhHieu & Deng, Yuanwang & Nguyen, Tuannghia & Duy, VinhNguyen & Le, DucHieu & Zuo, Wei & Peng, Qingguo & Zhang, Zhiqing, 2018. "Effects of injection timing and injection pressure on performance and exhaust emissions of a common rail diesel engine fueled by various concentrations of fish-oil biodiesel blends," Energy, Elsevier, vol. 149(C), pages 979-989.
    13. Zhang, Zhiqing & Dong, Rui & Tan, Dongli & Duan, Lin & Jiang, Feng & Yao, Xiaoxue & Yang, Dixin & Hu, Jingyi & Zhang, Jian & Zhong, Weihuang & Zhao, Ziheng, 2023. "Effect of structural parameters on diesel particulate filter trapping performance of heavy-duty diesel engines based on grey correlation analysis," Energy, Elsevier, vol. 271(C).
    14. Derafshian, Mehdi & Amjady, Nima, 2015. "Optimal design of power system stabilizer for power systems including doubly fed induction generator wind turbines," Energy, Elsevier, vol. 84(C), pages 1-14.
    15. Rosato, Antonello & Panella, Massimo & Andreotti, Amedeo & Mohammed, Osama A. & Araneo, Rodolfo, 2021. "Two-stage dynamic management in energy communities using a decision system based on elastic net regularization," Applied Energy, Elsevier, vol. 291(C).
    16. Zhang, Jun & Wong, Victor W. & Shuai, Shijin & Chen, Yu & Sappok, Alexander, 2018. "Quantitative estimation of the impact of ash accumulation on diesel particulate filter related fuel penalty for a typical modern on-road heavy-duty diesel engine," Applied Energy, Elsevier, vol. 229(C), pages 1010-1023.
    17. Kumar, N.J. Vinoth & Thameem Ansari, M. Mohamed, 2015. "A new design of dual-mode Type-II fuzzy logic load frequency controller for interconnected power systems with parallel AC–DC tie-lines and superconducting magnetic energy storage unit," Energy, Elsevier, vol. 89(C), pages 118-137.
    18. Barbie, Eli & Rabinovici, Raul & Kuperman, Alon, 2021. "Analytical formulation and optimization of Weighted Total Harmonic Distortion in three-phase staircase modulated multilevel inverters," Energy, Elsevier, vol. 215(PA).
    19. Xu, Wanrong & Kou, Chuanfu & E, Jiaqiang & Feng, Changling & Tan, Yan, 2024. "Effect analysis on the flow uniformity and pressure drop characteristics of the rotary diesel particulate filter for heavy-duty truck," Energy, Elsevier, vol. 288(C).
    20. Zafari, A. & Jazaeri, M., 2017. "Conceptual design of an efficient unified shunt active power filter based on voltage and current source converters," Energy, Elsevier, vol. 119(C), pages 911-925.

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:eee:energy:v:199:y:2020:i:c:s0360544220305776. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: Catherine Liu (email available below). General contact details of provider: http://www.journals.elsevier.com/energy .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.