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http://dx.doi.org/10.1007/s43236-022-00431-z

Impedance modeling and stability analysis of modular multilevel converter considering frequency coupling characteristics  

Shi, Kai (Department of Electrical Engineering, Jiangsu University)
Lu, Peng (Department of Electrical Engineering, Jiangsu University)
Sun, Yuxin (Department of Electrical Engineering, Jiangsu University)
Xu, Peifeng (Department of Electrical Engineering, Jiangsu University)
Publication Information
Journal of Power Electronics / v.22, no.8, 2022 , pp. 1231-1241 More about this Journal
Abstract
In recent years, a series of studies concerning the oscillation of interconnected systems has shown that frequency coupling has important effects on the stability of the system. In this paper, a more accurate theoretical model considering the frequency coupling effects is adopted to derive the transmission process in vector control, phase lock loop, and proportional-resonant controller of the harmonic perturbation in the frequency domain. This model is used to further deepen the application of harmonic linearization modeling to impedance modeling. An integrated three-phase modular multilevel converter simulation model based on the PSCAD platform is built to verify the accuracy of the theoretical modeling through the frequency sweep method. The influence of related system parameters on sequence and coupling impedance is analyzed in detail. The generalized Nyquist criterion is used to study the importance of coupling impedance to the stability analysis of the system.
Keywords
Frequency coupling; Generalized Nyquist criterion; Harmonic linearization; Impedance modeling; Modular multilevel converter;
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1 Shen, X., et al.: Adaptive second-order sliding mode control for grid-connected NPC converters with enhanced disturbance rejection. IEEE Trans. Power Electron. 37(1), 206-220 (2022)   DOI
2 Lyu, J., Cai, X., Molinas, M.: Optimal design of controller parameters for improving the stability of MMC-HVDC for wind farm integration. IEEE J. Emerg. Sel. Top. Power Electron. Mag. 6(1), 40-53 (2018)   DOI
3 Sun, J.: Small-signal methods for AC distributed power systems-a review. IEEE Trans. Power Electron. Mag. 24(11), 2545-2554 (2009)   DOI
4 Sun, J.: Impedance-based stability criterion for grid-connected inverters. IEEE Trans. Power Electron. 26(11), 3075-3078 (2011)   DOI
5 Lyu, J., Chen, Q., Cai, X.: Impedance modeling of modular multilevel converters by harmonic linearization. In: Proceedings of 2016 IEEE 17th Workshop on Control and Modeling for Power Electronics (COMPEL), pp. 1-6 (2016)
6 Lyu, J., Zhang, X., Cai, X., Molinas, M.: Harmonic state-space based small-signal impedance modeling of a modular multilevel converter with consideration of internal harmonic dynamics. IEEE Trans. Power Electron. Mag. 34(3), 2134-2148 (2019)   DOI
7 Xu, Z., Li, B.B., Han, L.J., Hu, J.L.: A complete HSS-based impedance model of mmc considering grid impedance coupling. IEEE Trans. Power Electron. Mag. 35(12), 12929-12948 (2020)   DOI
8 Rygg, A., Molinas, M., Zhang, C., Cai, X.: A modified sequence-domain impedance definition and its equivalence to the dq-domain impedance definition for the stability analysis of AC power electronic systems. IEEE J. Emerg. Sel. Top. Power Electron. Mag. 4(4), 1383-1396 (2016)   DOI
9 Zong, H., Lyu, J., Zhang, C., Cai, X., Molinas, M., Rao, F.: Modified sequence domain impedance modelling of the modular multilevel converter. In: Proceedings of 8th Renewable Power Generation Conference (RPG 2019), pp. 1-5 (2019)
10 Bakhshizadeh, M.K., Wang, X.F.: Couplings in phase domain impedance modeling of grid-connected converters. IEEE Trans. Power Electron. Mag. 31(10), 6792-6796 (2016)
11 Burgos, R., Boroyevich, D., Wang, F., Karimi, K., Francis, G.: On the Ac stability of high power factor three-phase rectifiers. In: Proceedings of IEEE Energy Conversion Congress Expo., pp. 2047-2054 (2010)
12 Zhang, F., Yin, C., Yang, X., Liu, Y., Hong, C., Xie, X.: The impedance modelling of MMC for oscillation analysis considering control dynamics and delays. In: Proceedings of 8th Renewable Power Generation Conference (RPG 2019), pp. 1-6 (2019)
13 Man, J., Xie, X., Xu, S., Zou, C., Yin, C.: Frequency-coupling impedance model based analysis of a high-frequency resonance incident in an actual MMC-HVDC system. IEEE Trans. Power Deliv. 35(6), 2963-2971 (2020)   DOI
14 Nian, H., Zhu, M.W., Xu, Y.Y.: Modeling and analysis of frequency coupling characteristic for MMC station based on harmonic transfer matrices. Autom. Electr. Power Syst. Mag. 44(6), 75-83 (2020)
15 Shah, S., Parsa, L.: Sequence domain transfer matrix model of three-phase voltage source converters. In: Proc. 2016 IEEE Power and Energy Society General Meeting (PESGM), pp. 1-5 (2016)
16 Khazaei, J., Beza, M., Bongiorno, M.: Impedance analysis of modular multi-level converters connected to weak AC grids. IEEE Trans. Power Syst. 33(4), 4015-4025 (2018)   DOI
17 Wang, X.F., Blaabjerg, F.: Harmonic stability in power electronicbased power systems: concept, modeling, and analysis. IEEE Trans. Smart Grid. Mag. 10(3), 2858-2870 (2019)   DOI
18 Xiong, L., Zhuo, F., Liu, X., Xu, Z., Zhu, Y.: Fault-tolerant control of CPS-PWM-based cascaded multilevel inverter with faulty units. IEEE J. Emerg. Sel. Top. Power Electron. Mag. 7(4), 2486-2497 (2019)   DOI
19 Kong, L., Wang, S.Y., Praisuwanna, N.: DC impedance model of MMC considering capacitor voltage and circulating current dynamics. In: Proceedings of 2019 IEEE Energy Conversion Congress and Exposition (ECCE), pp. 646-653 (2019)
20 Deng, F.J., Chen, Z.: Voltage-balancing method for modular multilevel converters switched at grid frequency. IEEE Trans. Ind. Elec. Mag. 62(5), 2835-2847 (2015)   DOI
21 Xu, J.Z., Jing, H., Zhao, C.Y.: Reliability modeling of MMCs considering correlations of the requisite and redundant submodules. IEEE Trans. Power Deliv. Mag. 33(3), 1213-1222 (2018)   DOI
22 Liu, J.X., Shen, X.N., Abraham, M.: Sliding mode control of grid-connected neutral-point-clamped converters via high-gain observer. IEEE Trans. Ind. Elec. Mag. 69(4), 4010-4021 (2022)