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ZOU Kaikai, LI Gang, ZOU Qiang, DONG Yunlong, LU Yu. Capacitor Voltage Ripple and Harmonics Analysis in MMC[J]. SOUTHERN ENERGY CONSTRUCTION, 2023, 10(5): 129-138. DOI: 10.16516/j.gedi.issn2095-8676.2023.05.016
Citation: ZOU Kaikai, LI Gang, ZOU Qiang, DONG Yunlong, LU Yu. Capacitor Voltage Ripple and Harmonics Analysis in MMC[J]. SOUTHERN ENERGY CONSTRUCTION, 2023, 10(5): 129-138. DOI: 10.16516/j.gedi.issn2095-8676.2023.05.016

Capacitor Voltage Ripple and Harmonics Analysis in MMC

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  • Received Date: March 19, 2023
  • Revised Date: June 25, 2023
  • Available Online: September 05, 2023
  •   Introduction  The rapid development of VSC-HVDC provides practical support for MMC (Modular Multi-Level Converter) topology. Takes a half bridge MMC converter as an example, the relationship between steady-state capacitor voltage fluctuation, harmonic interaction, and bridge arm switching function of MMC is studied in order to provide theoretical support for MMC system design and control strategy.
      Method  By establishing analytical expressions for the sub module capacitor voltage and bridge arm switch function, the mathematical approximate expressions for the energy fluctuation and capacitor voltage fluctuation of the upper and lower bridge arms of the MMC converter were obtained. Furthermore, the distribution law of harmonics in the upper and lower bridge arms current, AC (Alternating Current ) valve side, and DC (Direct Current) side, as well as the positive and negative sequence relationship of inter phase circulation were studied. Based on the harmonic formula, an estimation method for the secondary circulation was obtained; Furthermore, the variable comparison method was used to study the relationship between the switching function of the bridge arm and the voltage of the submodule capacitance with the valve side power factor and the size of the submodule capacitance. Finally, a detailed PSCAD/EMTDC model was built based on actual engineering parameters, and a consistency comparison between theoretical analysis and offline simulation was conducted.
      Result  The research has shown that the inter phase circulating current of MMC only contains even harmonics, with 6k+2 circulating currents exhibiting negative sequence, 6k+4 circulating currents exhibiting positive sequence, and 6k circulating currents exhibiting zero sequence characteristics. At the same time, under steady-state conditions, the AC voltage and current flow at the outlet of MMC valve side only contains odd harmonics, while the DC voltage and current flow at MMC DC side only contains even harmonics, and at the power factor angle φ<0, the peak value of the bridge arm switch function will be greater than 1, and the peak voltage fluctuation of the module capacitor at low power factor is greater than that at high power factor.
      Conclusion  Based on this, we can select and design capacitor for MMC inverters and carry out the transient stability strategies, also, master the operational characteristics of MMC topology through theoretical analysis.
  • [1]
    RODRIGUEZ J, LAI J S, PENG F Z. Multilevel inverters: a survey of topologies, controls, and applications [J]. IEEE transactions on industrial electronics, 2002, 49(4): 724-738. DOI: 10.1109/TIE.2002.801052.
    [2]
    LESNICAR A, MARQUARDT R. An innovative modular multilevel converter topology suitable for a wide power range [C]//2003 IEEE Bologna Power Tech Conference Proceedings, Bologna, Italy, June 23-26, 2003. New York: IEEE, 2003: 6. DOI: 10.1109/PTC.2003.1304403.
    [3]
    LESNICAR A, MARQUARDT R. A new modular voltage source inverter topology [C]//Proceedings of 10th European Conference on Power Electronics and Applications (EPE), Toulouse, France, September 2-4, 2003. Oxfordshire, UK: Taylor & Francis, 2015.
    [4]
    NORRGA S, ÄNGQUIST L, ILVES K, et al. Decoupled steady-state model of the modular multilevel converter with half-bridge cells [C]//6th IET International Conference on Power Electronics, Machines and Drives, Bristol, UK, March 27-29, 2012. Hertfordshire, UK: IET, 2012: 1-6. DOI: 10.1049/cp.2012.0232.
    [5]
    王姗姗, 周孝信, 汤广福, 等. 模块化多电平电压源换流器的数学模型 [J]. 中国电机工程学报, 2011, 31(24): 1-8. DOI: 10.13334/j.0258-8013.pcsee.2011.24.005.

    WANG S S, ZHOU X X, TANG G F, et al. Modeling of modular multi-level voltage source converter [J]. Proceedings of the CSEE, 2011, 31(24): 1-8. DOI: 10.13334/j.0258-8013.pcsee.2011.24.005.
    [6]
    SONG Q, LIU W H, LI X Q, et al. A steady-state analysis method for a modular multilevel converter [J]. IEEE transactions on power electronics, 2013, 28(8): 3702-3713. DOI: 10.1109/TPEL.2012.2227818.
    [7]
    ILVES K, ANTONOPOULOS A, NORRGA S, et al. Steady-state analysis of interaction between harmonic components of arm and line quantities of modular multilevel converters [J]. IEEE transactions on power electronics, 2012, 27(1): 57-68. DOI: 10.1109/TPEL.2011.2159809.
    [8]
    SAEEDIFARD M, IRAVANI R. Dynamic performance of a modular multilevel back-to-back HVDC system [J]. IEEE transactions on power delivery, 2010, 25(4): 2903-2912. DOI: 10.1109/TPWRD.2010.2050787.
    [9]
    HARNEFORS L, ANTONOPOULOS A, NORRGA S, et al. Dynamic analysis of modular multilevel converters [J]. IEEE transactions on industrial electronics, 2013, 60(7): 2526-2537. DOI: 10.1109/TIE.2012.2194974.
    [10]
    HARNEFORS L, ANTONOPOULOS A, ILVES K, et al. Global asymptotic stability of current-controlled modular multilevel converters [J]. IEEE transactions on power electronics, 2015, 30(1): 249-258. DOI: 10.1109/TPEL.2014.2298560.
    [11]
    刘昇, 徐政. 联于弱交流系统的VSC-HVDC稳定运行区域研究 [J]. 中国电机工程学报, 2016, 36(1): 133-144. DOI: 10.13334/j.0258-8013.pcsee.2016.01.014.

    LIU S, XU Z. Study on stable operating region of VSC-HVDC connected to weak AC systems [J]. Proceedings of the CSEE, 2016, 36(1): 133-144. DOI: 10.13334/j.0258-8013.pcsee.2016.01.014.
    [12]
    KRIGE E. Harmonic interaction between weak AC systems and VSC-based HVDC schemes [D]. Stellenbosch: Stellenbosch University, 2012.
    [13]
    ZHANG L D, HARNEFORS L, NEE H P. Modeling and control of VSC-HVDC links connected to island systems [J]. IEEE transactions on power systems, 2011, 26(2): 783-793. DOI: 10.1109/TPWRS.2010.2070085.
    [14]
    GIVAKI K, XU L. Stability analysis of large wind farms connected to weak AC networks incorporating PLL dynamics [C]//International Conference on Renewable Power Generation, Beijing, China, October 17-18, 2015. Hertfordshire, UK: IET, 2016: 1-6. DOI: 10.1049/cp.2015.0440.
    [15]
    ZHANG L D, HARNEFORS L, NEE H P. Interconnection of two very weak AC systems by VSC-HVDC links using power-synchronization control [J]. IEEE transactions on power systems, 2011, 26(1): 344-355. DOI: 10.1109/TPWRS.2010.2047875.
    [16]
    ADIB A, MIRAFZAL B, WANG X F, et al. On stability of voltage source inverters in weak grids [J]. IEEE access, 2018, 6: 4427-4439. DOI: 10.1109/ACCESS.2017.2788818.
    [17]
    HUANG Y H, YUAN X M, HU J B, et al. Modeling of VSC connected to weak grid for stability analysis of DC-link voltage control [J]. IEEE journal of emerging and selected topics in power electronics, 2015, 3(4): 1193-1204. DOI: 10.1109/JESTPE.2015.2423494.
    [18]
    HUANG Y H, YUAN X M, HU J B, et al. DC-bus voltage control stability affected by AC-bus voltage control in VSCs connected to weak AC grids [J]. IEEE journal of emerging and selected topics in power electronics, 2016, 4(2): 445-458. DOI: 10.1109/JESTPE.2015.2480859.
    [19]
    黄守道, 彭也伦, 廖武. 模块化多电平型变流器电容电压波动及其抑制策略研究 [J]. 电工技术学报, 2015, 30(7): 62-71. DOI: 10.3969/j.issn.1000-6753.2015.07.008.
    [20]
    HUANG S D, PENG Y L, LIAO W. Study of capacitor voltage fluctuation and its suppression for modular multilevel converter [J]. Transactions of China electrotechnical society, 2015, 30(7): 62-71. DOI: 10.3969/j.issn.1000-6753.2015.07.008.
    [21]
    ANGQUIST L, ANTONOPOULOS A, SIEMASZKO D, et al. Open-loop control of modular multilevel converters using estimation of stored energy [J]. IEEE transactions on industry applications, 2011, 47(6): 2516-2524. DOI: 10.1109/TIA.2011.2168593.
    [22]
    周月宾, 江道灼, 郭捷, 等. 模块化多电平换流器子模块电容电压波动与内部环流分析 [J]. 中国电机工程学报, 2012, 32(24): 8-14. DOI: 10.13334/j.0258-8013.pcsee.2012.24.002.

    ZHOU Y B, JIANG D Z, GUO J, et al. Analysis of sub-module capacitor voltage ripples and circulating currents in modular multilevel converters [J]. Proceedings of the CSEE, 2012, 32(24): 8-14. DOI: 10.13334/j.0258-8013.pcsee.2012.24.002.
    [23]
    YANG L G, XU Z H, FENG L, et al. Analysis on harmonic resonance of offshore wind farm transmitted by MMC-HVDC system [C]//2019 IEEE Innovative Smart Grid Technologies - Asia, Chengdu, China, May 21-24, 2019. New York, USA: IEEE, 2019: 2296-2301. DOI: 10.1109/ISGT-Asia.2019.8881373.
    [24]
    ZOU C Y, RAO H, XU S K, et al. Analysis of resonance between a VSC-HVDC converter and the AC grid [J]. IEEE transactions on power electronics, 2018, 33(12): 10157-10168. DOI: 10.1109/TPEL.2018.2809705.
    [25]
    ILVES K, ANTONOPOULOS A, HARNEFORS L, et al. Capacitor voltage ripple shaping in modular multilevel converters allowing for operating region extension [C]//IECON 2011 - 37th Annual Conference of the IEEE Industrial Electronics Society, Melbourne, Australia, November 7-10, 2011. New York, USA: IEEE, 2011: 4403-4408. DOI: 10.1109/IECON.2011.6120033.
    [26]
    WANG H T, TANG G F, HE Z Y, et al. Efficient grounding for modular multilevel HVDC converters (MMC) on the AC side [J]. IEEE transactions on power delivery, 2014, 29(3): 1262-1272. DOI: 10.1109/TPWRD.2014.2311796.
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