{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,2,10]],"date-time":"2026-02-10T19:07:20Z","timestamp":1770750440423,"version":"3.50.0"},"reference-count":36,"publisher":"Institute of Electronics, Information and Communications Engineers (IEICE)","issue":"11","content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["IEICE Trans. Electron."],"published-print":{"date-parts":[[2022,11,1]]},"DOI":"10.1587\/transele.2021esp0002","type":"journal-article","created":{"date-parts":[[2022,5,8]],"date-time":"2022-05-08T22:10:01Z","timestamp":1652047801000},"page":"675-683","source":"Crossref","is-referenced-by-count":1,"title":["Research on Stability of MMC-Based Medium Voltage DC Bus on Ships Based on Lyapunov Method"],"prefix":"10.1587","volume":"E105.C","author":[{"given":"Liang","family":"FANG","sequence":"first","affiliation":[{"name":"Shanghai Maritime University"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Xiaoyan","family":"XU","sequence":"additional","affiliation":[{"name":"Shanghai Maritime University"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Tomasz","family":"TARASIUK","sequence":"additional","affiliation":[{"name":"Gdynia Maritime University"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"532","reference":[{"key":"1","doi-asserted-by":"publisher","unstructured":"[1] Q. Sun, Y. Wang, G. Liu, J. Meng, Q. Mu, X. Zhang, and Y. Li, \u201cA high-frequency-link voltage matching phase-shift control strategy for high-frequency modular multilevel DC transformer in MVDC distribution networks,\u201d Electr. Power Syst. Res., vol.175, pp.1-10, 2019. DOI: 10.1016\/j.epsr.2019.105922 10.1016\/j.epsr.2019.105922","DOI":"10.1016\/j.epsr.2019.105922"},{"key":"2","doi-asserted-by":"publisher","unstructured":"[2] R.D. Geertsma, R.R. Negenborn, K. Visser, and J.J. Hopman, \u201cDesign and control of hybrid power and propulsion systems for smart ships: A review of developments,\u201d Appl. Energy, vol.194, pp.30-54, 2017. DOI: 10.1016\/j.apenergy.2017.02.060 10.1016\/j.apenergy.2017.02.060","DOI":"10.1016\/j.apenergy.2017.02.060"},{"key":"3","doi-asserted-by":"publisher","unstructured":"[3] N. Doerry, \u201cNaval power systems-integrated power systems for the continuity of the electrical power supply,\u201d IEEE Electrification Mag., vol.3, no.2, pp.12-21, 2015. DOI: 10.1109\/MELE.2015. 2413434 10.1109\/mele.2015.2413434","DOI":"10.1109\/MELE.2015.2413434"},{"key":"4","doi-asserted-by":"publisher","unstructured":"[4] G. Sulligoi, A. Vicenzutti, and R. Menis, \u201cAll-electric ship design: from electrical propulsion to integrated electrical and electronic power systems,\u201d IEEE Trans. Transp. Electrification, vol.2, no.4, pp.507-521, 2016. DOI: 10.1109\/TTE.2016.2598078 10.1109\/tte.2016.2598078","DOI":"10.1109\/TTE.2016.2598078"},{"key":"5","doi-asserted-by":"publisher","unstructured":"[5] P. Cairoli and R.A. Dougal, \u201cNew horizons in DC shipboard power systems-new fault protection strategies are essential to the adoption of DC power systems,\u201d IEEE Electrification Mag., vol.1, no.2, pp.8-45, 2013. DOI: 10.1109\/MELE.2013.2291431 10.1109\/mele.2013.2291431","DOI":"10.1109\/MELE.2013.2291431"},{"key":"6","doi-asserted-by":"publisher","unstructured":"[6] U. Javaid, F.D. Frejedo, D. Dujic, and W.V.D. Merwe, \u201cDynamic assessment of source-load interactions in marine MVDC distribution,\u201d IEEE Trans. Ind. Electron., vol.64, no.6, pp.4372-4381, 2017. DOI: 10.1109\/TIE.2017.2674597 10.1109\/tie.2017.2674597","DOI":"10.1109\/TIE.2017.2674597"},{"key":"7","doi-asserted-by":"publisher","unstructured":"[7] M. Cupelli, F. Ponci, G. Sulligoi, A. Vicenzutti, C.S. Edrington, T. El-Mezyani, and A. Monti, \u201cPower flow control and network stability in an all-electric ship,\u201d Proc. IEEE, vol.103, no.12, pp.2355-2380, 2015. DOI: 10.1109\/JPROC.2015.2496789 10.1109\/jproc.2015.2496789","DOI":"10.1109\/JPROC.2015.2496789"},{"key":"8","doi-asserted-by":"publisher","unstructured":"[8] S. Castellan, R. Menis, A. Tessarolo, F. Luise, and T. Mazzuca, \u201cA review of power electronics equipment for all-electric ship MVDC power systems,\u201d Int. J. Electr. Power Energy Syst., vol.96, pp.306-323, 2018. DOI: 10.1016\/j.ijepes.2017.09.040 10.1016\/j.ijepes.2017.09.040","DOI":"10.1016\/j.ijepes.2017.09.040"},{"key":"9","doi-asserted-by":"publisher","unstructured":"[9] K. Shinoda, A. Benchaib, J. Dai, and X. Guillaud, \u201cVirtual capacitor control: mitigation of DC voltage fluctuations in MMC-based HVdc systems,\u201d IEEE Trans. Power Deliv., vol.33, no.1, pp.455-465, 2018. DOI: 10.1109\/TPWRD.2017.2723939 10.1109\/tpwrd.2017.2723939","DOI":"10.1109\/TPWRD.2017.2723939"},{"key":"10","doi-asserted-by":"publisher","unstructured":"[10] J. Qin, M. Saeedifard, A. Rockhill, and R. Zhou, \u201cHybrid design of modular multilevel converters for HVDC systems based on various submodule circuits,\u201d IEEE Trans. Power Deliv., vol.30, no.1, pp.385-394, 2015. DOI: 10.1109\/TPWRD.2014.2351794 10.1109\/tpwrd.2014.2351794","DOI":"10.1109\/TPWRD.2014.2351794"},{"key":"11","doi-asserted-by":"publisher","unstructured":"[11] S.-M. Kim, M.-G. Jeong, J. Kim, and K.-B. Lee, \u201cHybrid modulation scheme for switching loss reduction in a modular multilevel high-voltage direct current converter,\u201d IEEE Trans. Power Deliv., vol.34, no.4, pp.3178-3191, 2019. DOI: 10.1109\/TPEL.2018. 2848620 10.1109\/tpel.2018.2848620","DOI":"10.1109\/TPEL.2018.2848620"},{"key":"12","doi-asserted-by":"publisher","unstructured":"[12] S. Li, Y. Xu, Y. Lu, C. Zhao, J. Zhang, C. Jiang, and S. Qiu, \u201cAn auxiliary DC circuit breaker utilizing an augmented MMC,\u201d IEEE Trans. Power Deliv., vol.34, no.2, pp.561-571, 2019. DOI: 10.1109\/TPWRD.2019.2892445 10.1109\/tpwrd.2019.2892445","DOI":"10.1109\/TPWRD.2019.2892445"},{"key":"13","doi-asserted-by":"publisher","unstructured":"[13] M. Mehrasa, R. Godina, E. Pouresmaeil, E.M.G. Rodrigues, and J.P.S. Catal\u00e3o, \u201cPower quality improvement with a pulse width modulation control method in modular multilevel converters under varying nonlinear loads,\u201d Appl. Sci., vol.10, no.9, p.3292, May 2020. DOI: 10.3390\/app10093292 10.3390\/app10093292","DOI":"10.3390\/app10093292"},{"key":"14","doi-asserted-by":"publisher","unstructured":"[14] L. Bessegato, L. Harnerfors, K. Ilves, and S. Norrga, \u201cA method for the calculation of the AC-side admittance of a modular multilevel converter,\u201d IEEE Trans. Power Deliv., vol.34, no.5, pp.4161-4172, 2019. DOI: 10.1109\/TPEL.2018.2862254 10.1109\/tpel.2018.2862254","DOI":"10.1109\/TPEL.2018.2862254"},{"key":"15","unstructured":"[15] M. Mehrasa: \u201cControl of modular multilevel converters in high voltage direct current power system,\u201d Ph.D Dissertation, Universidade da Beira Interior, Portugal, 2019."},{"key":"16","doi-asserted-by":"publisher","unstructured":"[16] B. Li, H. Liu, W. Wen, H. Cao, X. Wang, and H. Lv, \u201cDC faults ride-through and fast recovery of MVDC system based on improved HB-MMC,\u201d IEEE J. Emerg. Sel. Topics Power Electron., vol.8, no.3, pp.3056-3066, June 2020. DOI: 10.1109\/JESTPE.2019.2920372 10.1109\/jestpe.2019.2920372","DOI":"10.1109\/JESTPE.2019.2920372"},{"key":"17","doi-asserted-by":"publisher","unstructured":"[17] M. Mehrasa, E. Pouresmaeil, S. Taheri, I. Vechiu, and J.P.S. Catal\u00e3o, \u201cNovel control strategy for modular multilevel converters based on differential flatness theory,\u201d IEEE J. Emerg. Sel. Topics Power Electron., vol.6, no.2, pp.888-897, June 2018. DOI: 10.1109\/jestpe.2017.2766047 10.1109\/jestpe.2017.2766047","DOI":"10.1109\/JESTPE.2017.2766047"},{"key":"18","doi-asserted-by":"publisher","unstructured":"[18] M. Mehrasa, E. Pouresmaeil, M.F. Akorede, S. Zabihi, and J.P.S. Catal\u00e3o, \u201cFunction-based modulation control for modular multilevel converters under varying loading and parameters conditions,\u201d IET Gener. Transm. Dis., vol.11, no.13, pp.3222-3230, 2017. DOI: 10.1049\/iet-gtd.2016.1028 10.1049\/iet-gtd.2016.1028","DOI":"10.1049\/iet-gtd.2016.1028"},{"key":"19","doi-asserted-by":"publisher","unstructured":"[19] R.J. Ghadia, M. Mehrasab, E.M. Adabi, and S. Bacha, \u201cLyapunov theory-based control strategy for multi-terminal MMC-HVDC systems,\u201d Int. J. Electr. Power Energy Syst., vol.129, no.2, July 2021 DOI: 10.1016\/j.ijepes.2021.106778 10.1016\/j.ijepes.2021.106778","DOI":"10.1016\/j.ijepes.2021.106778"},{"key":"20","doi-asserted-by":"crossref","unstructured":"[20] T. Stoetzel, M.K. Jger, C. Heising, and V. Staudt, \u201cAnalysis of DC-droop control for an MMC-Based HVDC system,\u201d Mediterranean Conf. on Power Gener., Transm., Distrib. and Energy Conversion, pp.1-7, Nov. 2016. DOI: 10.1049\/cp.2016.1072 10.1049\/cp.2016.1072","DOI":"10.1049\/cp.2016.1072"},{"key":"21","unstructured":"[21] J.L. Yu, C.Y. Xia, and H.L. Miao, \u201cNonlinear control of modular multilevel converters,\u201d Acta Energiae Solaris Sinica, vol.41, no.5, pp.266-272, 2020."},{"key":"22","doi-asserted-by":"publisher","unstructured":"[22] H. Yang, Y. Dong, W. Li, and X. He, \u201cAverage-value model of modular multilevel converters considering capacitor voltage ripple,\u201d IEEE Trans. Power Deliv., vol.32, no.2, pp.723-732, April 2017. DOI: 10.1109\/TPWRD.2016.2555983 10.1109\/tpwrd.2016.2555983","DOI":"10.1109\/TPWRD.2016.2555983"},{"key":"23","doi-asserted-by":"publisher","unstructured":"[23] E.L. Andres and J.A. Santiago, \u201cModeling, control and reduced-order representation of modular multilevel converters,\u201d IEEE Power Syst. Res., vol.163, pp.196-210, Oct. 2018. DOI: 10.1016\/j.epsr. 2018.05.024 10.1016\/j.epsr.2018.05.024","DOI":"10.1016\/j.epsr.2018.05.024"},{"key":"24","doi-asserted-by":"publisher","unstructured":"[24] A. Zama, A. Benchaib, S. Bacha, D. Frey, and S. Slivant, \u201cHigh dynamics control for MMC based on exact discrete-time model with experimental validation,\u201d IEEE Trans. Power Deliv., vol.33, no.1, pp.477-488, Feb. 2018. DOI: 10.1109\/TPWRD.2017.2707343 10.1109\/tpwrd.2017.2707343","DOI":"10.1109\/TPWRD.2017.2707343"},{"key":"25","unstructured":"[25] X.T. Tan, H.M. Zhang, Y.Q. Zhu, and J.B. Chen, \u201cResearch on sub-module capacitor voltage ripples and voltage balancing control strategy in modular multilevel converter,\u201d Power Electron., vol.50, no.1, pp.1-4, 2016."},{"key":"26","doi-asserted-by":"publisher","unstructured":"[26] M. Zhang, Y. Shen, H. Sun, and R. Guo, \u201cMMC-HVDC circulating current suppression method based on improved proportional resonance control,\u201d Energy Rep., vol.6, no.9, pp.863-871, Dec. 2020. DOI: 10.1016\/j.egyr.2020.11.120 10.1016\/j.egyr.2020.11.120","DOI":"10.1016\/j.egyr.2020.11.120"},{"key":"27","doi-asserted-by":"publisher","unstructured":"[27] J. Freyte, G. Bergna, J.A. Suul, S. D'Arco, F. Gruson, F. Colas, H. Saas, and G. Xavier, \u201cImproving small-signal stability of an MMC with CCSC by control of the internally stored energy,\u201d IEEE Trans. Power Deliv., vol.33, no.1, pp.429-439, Feb. 2018. DOI: 10.1109\/TPWRD.2017.2725579 10.1109\/tpwrd.2017.2725579","DOI":"10.1109\/TPWRD.2017.2725579"},{"key":"28","doi-asserted-by":"publisher","unstructured":"[28] T.S. Narayana and R. Dahiya, \u201cDC-link voltage compensation with fuzzy-based MMC to mitigate the low-order circulating current,\u201d Int. J. Ambient Energy, vol.66, pp.1790-2022, 2021. DOI: 10.1080\/01430750.2021.1876761 10.1080\/01430750.2021.1876761","DOI":"10.1080\/01430750.2021.1876761"},{"key":"29","doi-asserted-by":"publisher","unstructured":"[29] M. Zhang, L. Huang, W. Yao, and Z. Lu, \u201cCirculating harmonic current elimination of a CPS-PWM based modular multilevel converter with plug-in repetitive controller,\u201d IEEE Trans. Power Deliv., vol.29, no.4, pp.2083-2097, April 2014. DOI: 10.1109\/TPEL.2013. 2269140 10.1109\/tpel.2013.2269140","DOI":"10.1109\/TPEL.2013.2269140"},{"key":"30","doi-asserted-by":"publisher","unstructured":"[30] Y. Sun, C.A. Teixeira, D.G. Holmes, B.P. Mcgrath, and J. Zhao, \u201cLow-order circulating current suppression of PWM-based modular multilevel converters using DC-link voltage compensation,\u201d IEEE Trans. Power Deliv., vol.33, no.1, pp.210-225, Jan. 2018. DOI: 10.1109\/TPEL.2017.2670369 10.1109\/tpel.2017.2670369","DOI":"10.1109\/TPEL.2017.2670369"},{"key":"31","doi-asserted-by":"crossref","unstructured":"[31] M. Mehrasa, M. Ahmadigorji, A. Abedi, and M.A. Reykandeh, \u201cDual lagrangian modeling and Lyapunov-based control three-level three-phase NPC voltage-source rectifier,\u201d 2012 11th Int. Conf. Environ. and Electr. Eng., pp.737-747, May 2012. DOI: 10.1109\/ EEEIC.2012.6221474 10.1109\/eeeic.2012.6221475","DOI":"10.1109\/EEEIC.2012.6221475"},{"key":"32","doi-asserted-by":"publisher","unstructured":"[32] M. Mehrasa, M. Ahmadigorji, and N. Amjady, \u201cA new dual lagrangian model and input\/output feedback linearization control of 3-phase\/level NPC voltage-source rectifier,\u201d Automatika, vol.55, no.1, pp.99-11, 2014. DOI: 10.7305\/automatika.2014.01.230 10.7305\/automatika.2014.01.230","DOI":"10.7305\/automatika.2014.01.230"},{"key":"33","doi-asserted-by":"publisher","unstructured":"[33] M. Ahmadijokani, M. Mehrasa, M. Sleiman, M. Sharifzadeh, A. Sheikholeslami, and K. Al-Haddad, \u201cA back-stepping control method for modular multilevel converters,\u201d IEEE Trans. Ind. Electron., vol.68, no.1, pp.443-453, Jan. 2021. DOI: 10.1109\/TIE. 2019.2962455 10.1109\/tie.2019.2962455","DOI":"10.1109\/TIE.2019.2962455"},{"key":"34","doi-asserted-by":"crossref","unstructured":"[34] M. Mehrasa, E. Pouresmaei, S. Zabihi, and J.P.S. Catalo, \u201cDynamic, model, control and stability analysis of MMC in HVDC transmission systems,\u201d IEEE Manchester PowerTech., vol.32, no.3, pp.1471-1482, June 2017. DOI: 10.1109\/PTC.2017.7981256 10.1109\/ptc.2017.7981256","DOI":"10.1109\/PTC.2017.7981256"},{"key":"35","doi-asserted-by":"publisher","unstructured":"[35] N. Beheshti, M. Rezanejad, and M. Mehrasa, \u201cLinearized control technique with Lyapunov function-based compensators for MMC-based HVDC system under load variation and fault condition,\u201d Int. J. Electr. Power Energy Syst., vol.124, pp.1-15, Jan. 2021. DOI: 10.1016\/j.ijepes.2020.106333 10.1016\/j.ijepes.2020.106333","DOI":"10.1016\/j.ijepes.2020.106333"},{"key":"36","doi-asserted-by":"publisher","unstructured":"[36] J. Wang, R. Burgos, and D. Boroyevich, \u201cSwitching-cycle state-space modeling and control of the modular multilevel converter,\u201d IEEE J. Emerg. Sel. Topics Power Electron., vol.2, no.4, pp.1159-1170, Nov. 2014. DOI: 10.1109\/JESTPE.2014.2354393 10.1109\/jestpe.2014.2354393","DOI":"10.1109\/JESTPE.2014.2354393"}],"container-title":["IEICE Transactions on Electronics"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/www.jstage.jst.go.jp\/article\/transele\/E105.C\/11\/E105.C_2021ESP0002\/_pdf","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2022,11,5]],"date-time":"2022-11-05T03:36:20Z","timestamp":1667619380000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.jstage.jst.go.jp\/article\/transele\/E105.C\/11\/E105.C_2021ESP0002\/_article"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2022,11,1]]},"references-count":36,"journal-issue":{"issue":"11","published-print":{"date-parts":[[2022]]}},"URL":"https:\/\/doi.org\/10.1587\/transele.2021esp0002","relation":{},"ISSN":["0916-8524","1745-1353"],"issn-type":[{"value":"0916-8524","type":"print"},{"value":"1745-1353","type":"electronic"}],"subject":[],"published":{"date-parts":[[2022,11,1]]},"article-number":"2021ESP0002"}}