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access icon openaccess Modelling and stability analysis of virtual synchronous machine using harmonic state-space modelling method

  • Author(s): Xu-Dong Chen 1, 2 ; Si-Ru Yu 2 ; Xing-Lai Ge 2
    • View affiliations
  • Source: Volume 2019, Issue 16, March 2019, p. 2597 – 2603
    DOI:  10.1049/joe.2018.8601 , Online ISSN 2051-3305
This is an open access article published by the IET under the Creative Commons Attribution License (http://creativecommons.org/licenses/by/3.0/)
Received 24/08/2018, Accepted 19/09/2018, Published 26/10/2018

A modelling and stability analysis method of a virtual synchronous machine (VSM) is proposed in this study. VSM technology is used to solve the problems caused by the high permeability of distributed energy. Though VSM has inertia and damping characteristics, it is more prone to oscillate than a synchronous generator because of the characteristic and unexpected harmonics generated by power electronic elements. The traditional linear time invariant based model is difficult to analyse a time-variant system and cannot analyse harmonic coupling mechanism accurately. This study proposes a new model of a grid-connected VSM by using the harmonic state-space modelling approach, which is a typical linear time-varying periodic model and considers different harmonics of the system. The stability of the system is analysed by eigenvalues of system matrix, which is based on the harmonic state-space model. The theoretical modelling method and stability analysis are verified by direct time-domain simulation results.

Inspec keywords: power system harmonics; synchronous generators; damping; power grids; stability; eigenvalues and eigenfunctions; power electronics; time-varying systems; linear systems; synchronous machines; state-space methods; time-domain analysis

Other keywords: VSM technology; harmonic state-space model; direct time-domain simulation results; time-variant system; virtual synchronous machine; high permeability; distributed energy; harmonic state-space modelling approach; theoretical modelling method; grid-connected VSM; damping characteristics; unexpected harmonics; power electronic elements; characteristic harmonics; harmonic state-space modelling method; synchronous generator; harmonic coupling mechanism; linear time-varying periodic model

Subjects: Synchronous machines; Control system analysis and synthesis methods; Stability in control theory; Time-varying control systems; Control of electric power systems; Linear control systems

References

    1. 1)
      • 11. Kwon, J.B., Wang, X., Blaabjerg, F., et al: ‘Harmonic interaction analysis in grid-connected converter using harmonic state space (HSS) modeling’, IEEE Trans. Power Electron., 2015, PP, (99), pp. 1–1.
    2. 2)
      • 1. Blaabjerg, F., Teodorescu, R., Liserre, M., et al: ‘Overview of control and grid synchronization for distributed power generation systems’, IEEE Trans. Ind. Electron., 2006, 53, (5), pp. 1398–1409.
    3. 3)
      • 12. Salis, V., Costabeber, A., Zanchetta, P., et al: ‘Stability analysis of single-phase grid-feeding inverters with PLL using harmonic linearisation and linear time periodic (LTP) theory’. Proc. Control and Modeling for Power Electronics, Trondheim, Norway, June, 2016, pp. 1–7.
    4. 4)
      • 3. Ashabani, S.M., Mohamed, A.R.I.: ‘A flexible control strategy for grid-connected and islanded microgrids with enhanced stability using nonlinear microgrid stabilizer’, IEEE Trans. Smart Grid, 2012, 3, (3), pp. 1291–1301.
    5. 5)
      • 5. Torres, L.M.A., Lopes, L.A.C., Morán, L.A.T., et al: ‘Self-tuning virtual synchronous machine: a control strategy for energy storage systems to support dynamic frequency control’, IEEE Trans. Energy Convers., 2014, 29, (4), pp. 833–840.
    6. 6)
      • 9. Bellinaso, L.V., Scapini, R.Z., Michels, L.: ‘Modeling and analysis of single phase full-bridge PFC boost rectifier using the LTP approach’. Proc. Power Electronics Conf., Praiamar, Brazil, September 2011, pp. 1–8.
    7. 7)
      • 10. Salis, V., Costabeber, A., Cox, S., et al: ‘Stability boundary analysis in single-phase grid-connected inverters with PLL by LTP theory’, IEEE Trans. Power Electron., 2017, PP, (99), pp. 1–1.
    8. 8)
      • 8. Wu, H., Ruan, X., Yang, D., et al: ‘Small-signal modeling and parameters design for virtual synchronous generators’, IEEE Trans. Ind. Electron., 2016, 63, (7), pp. 4292–4303.
    9. 9)
      • 2. Zhong, Q.C., Nguyen, P.L., Ma, Z., et al: ‘Self-synchronized synchronverters: inverters without a dedicated synchronization unit’, IEEE Trans. Power Electron., 2014, 29, (2), pp. 617–630.
    10. 10)
      • 4. D'Arco, S., Suul, J.A., Fosso, O.B.: ‘Control system tuning and stability analysis of virtual synchronous machines’. Proc. IEEE Energy Conversion Congress and Exposition, Denver, CO, USA, September 2013, pp. 2664–2671.
    11. 11)
      • 7. Liu, J., Miura, Y., Ise, T.: ‘Comparison of dynamic characteristics between virtual synchronous generator and droop control in inverter-based distributed generators’, IEEE Trans. Power Electron., 2015, 31, (5), pp. 3600–3611.
    12. 12)
      • 6. Zhong, Q.C., Weiss, G.: ‘Synchronverters: inverters that mimic synchronous generators’, IEEE Trans. Ind. Electron., 2011, 58, (4), pp. 1259–1267.
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