journal article·2019-11-04Open access

Modelling and Stability Analysis of Wind Power Plants Connected to Weak Grids

Esmaeil Ebrahimzadeh, Frede Blaabjerg, Torsten Lund, John Godsk Nielsen, Philip Carne Kjær

Applied Sciences· Volume 9· Issue 21

Abstract

It is important to develop modelling tools to predict unstable situations resulting from the interactions between the wind power plant and the weak power system. This paper presents a unified methodology to model and analyse a wind power plant connected to weak grids in the frequency-domain by considering the dynamics of the phase lock loop (PLL) and controller delays, which have been neglected in most of the previous research into modelling of wind power plants to simplify modelling. The presented approach combines both dq and positive/negative sequence domain modelling, where a single wind turbine is modelled in the dq domain but the whole wind power plant connected to the weak grid is analysed in the positive/negative sequence domain. As the proposed modelling of the wind power plant is systematic and modular and based on the decoupled positive/negative sequence impedances, the application of the proposed methodology is relevant for transmission system operators (TSOs) to assess stability easily with a very low compactional burden. In addition, as the analytical dq impedance models of the single wind turbine are provided, the proposed methodology is an optimization design tool permitting wind turbine manufacturers to tune their converter control. As a case study, a 108 MW wind power plant connected to a weak grid was used to study its sensitivity to variations in network short-circuit level, X/R ratio and line series capacitor compensation (Xc/Xg).
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Research context

OpenAlex topics: Microgrid Control and Optimization · HVDC Systems and Fault Protection · Wind Turbine Control Systems

SciVX discovery tags are terminology-based. OpenAlex topics are source-provided classifications.

Affiliations

Vestas Wind Systems, 8200 Aarhus N, Denmark

Department of Energy Technology, Aalborg University, 9220 Aalborg, Denmark

Funding

Innovation Fund Denmark

References (32)

Show source-provided references
1. Offshore wind integration to a weak grid by VSC-HVDC links using power-synchronization control: A case study10.1109/TPWRD.2013.2273979 ↗
2. Pereira, F.J.F., Rodrigues, J.M., de Oliveira, K.L.M., Araujo, D.R.R.P., and de Araujo, L.R. (2013, January 15–17). Simulations and analysis of distribution systems with aspects of smart grids using MICQ, RTDS and PSCAD. Proceedings of the IEEE ISGT Conference, Sao Paulo, Brazil.
3. Zhang, Q., Lu, G., and Zhang, C. (2016, January 13–16). Simulated study of the multiple cascade medium-voltage inverter based on PSCAD/EMTDC. Proceedings of the IEEE ICEMS, Chiba, Japan.
4. Modeling, analysis and testing of autonomous operation of an inverter-based microgrid10.1109/TPEL.2006.890003 ↗
5. Impedance-based stability criterion for grid-connected inverters10.1109/TPEL.2011.2136439 ↗
6. Badrzadeh, B., Gupta, M., Singh, N., Petersson, A., Max, L., and Høgdahl, M. (2012, January 7–11). Power system harmonic analysis in wind power plants—Part I: Study methodology and techniques. Proceedings of the IEEE IAS, Las Vegas, NV, USA.10.1109/IAS.2012.6374102 ↗
7. Impedance modeling and analysis of grid connected voltage-source converters10.1109/TPEL.2013.2262473 ↗
8. Dynamic stability of a microgrid with an active load10.1109/TPEL.2013.2241455 ↗
9. On dynamic models and stability analysis of three-phase phasor PWM-based CSI for stand-alone applications10.1109/TIE.2014.2363814 ↗
10. Small-signal stability for parallel-connected inverters in stand-alone AC supply systems10.1109/28.993176 ↗
11. The adequacy of the present practice in dynamic aggregated modeling of wind farm systems10.1109/TSTE.2016.2563162 ↗
12. Linearized modeling methods of ac-dc converters for an accurate frequency response10.1109/JESTPE.2017.2688454 ↗
13. Harmonic stability in power electronic based power systems: Concept, modeling, and analysis10.1109/TSG.2018.2812712 ↗
14. Small-signal stability analysis of inverter-fed power systems using component connection method10.1109/TSG.2017.2686841 ↗
15. Comparative analysis and study of the dynamic stability of AC/DC systems10.1109/59.14550 ↗
16. Hou, P., Ebrahimzadeh, E., Wang, X., Blaabjerg, F., Fang, J., and Wang, Y. (November, January 29). Harmonic stability analysis of offshore wind farm with CCM. Proceedings of the IEEE IECON Conference, Beijing, China.
17. Input-Admittance Calculation and Shaping for Controlled Voltage-Source Converters10.1109/TIE.2007.904022 ↗
18. Impedance Modeling of Three-Phase Voltage Source Converters in DQ, Sequence, and Phasor Domains10.1109/TEC.2017.2698202 ↗
19. Holmes, D.G., and Lipo, T.A. (2003). Pulse Width Modulation for Power Converters: Principles and Practice, Wiley.10.1109/9780470546284 ↗
20. A modified sequence-domain impedance definition and its equivalence to the dq-domain impedance definition for the stability analysis of AC power electronic systems10.1109/JESTPE.2016.2588733 ↗
21. Ebrahimzadeh, E., Blaabjerg, F., Wang, X., Bak, C.L., Lund, T., Andersen, G.K., Suárez, C.G., and Berg, J. (2017, January 1–5). Small signal modeling of wind farms. Proceedings of the IEEE ECCE Conference, Cincinnati, OH, USA.10.1109/ECCE.2017.8096656 ↗
22. Small signal stability analysis of three-phase AC systems in the presence of constant power loads based on measured d−q frame impedances10.1109/TPEL.2014.2378731 ↗
23. Analysis of D-Q small-signal impedance of grid-tied inverters10.1109/TPEL.2015.2398192 ↗
24. Electrical oscillations in wind farm systems: Analysis and insight based on detailed modeling10.1109/TSTE.2015.2472476 ↗
25. Harmonic instability analysis of a single-phase grid-connected converter using a harmonic state-space modeling method10.1109/TIA.2016.2581154 ↗
26. Nonlinear direct control for three-level NPC back-to-back converter PMSG wind turbine systems: Experimental assessment with FPGA10.1109/TII.2017.2678500 ↗
27. Bus participation factor analysis for harmonic instability in power electronics based power systems10.1109/TPEL.2018.2803846 ↗
28. A compositive control method of low-voltage ride through for PMSG-based wind turbine generator system10.1049/iet-gtd.2017.0270 ↗
29. Distributed PLL-based control of offshore wind turbine connected with diode-rectifier based HVDC systems10.1109/TPWRD.2017.2772342 ↗
30. Delay-dependent stability of single-loop controlled grid-connected inverters with LCL filters10.1109/TPEL.2015.2401612 ↗
31. Ebrahimzadeh, E. (2018). Electrical Oscillations in Wind Power Plants: Modeling, Control, and Mitigation. [Ph.D. Thesis, Aalborg University].
32. Muljadi, E., Pasupulati, S., Ellis, A., and Kosterov, D. (2008, January 20–24). Method of equivalencing for a large wind power plant with multiple turbine representation. Proceedings of the IEEE Power and Energy Society General Meeting, Pittsburgh, PA, USA.10.2172/1218414 ↗