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Small Signal Stability Assessment of Power Systems with Large-Scale Wind Farms

  • Research Article - Electrical Engineering
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Abstract

Compared to conventional synchronous generators, wind farms (WFs) have different impacts on power system small signal stability due to their physical and operational differences. In this paper, the small signal stability assessment of WF based on doubly fed induction generator (DFIG) is carried out. Control parameters are studied to investigate their impacts on the eigenvalues of a DFIG in a single machine infinite bus system. Besides, the effects of WF penetration on conventional power system-dominant modes are studied. It is shown that the DFIG-based WF would not considerably participate in electromechanical modes corresponding to the synchronous generators. It is concluded that the WF penetration into the power system has beneficial impacts on small signal stability.

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Abbreviations

A :

Turbine swap area

C DC Bus :

DC bus capacitor

c p :

Performance coefficient

d, q :

Subscriptions for d-q axis

D tg :

Shaft mutual damping

f :

Frequency

J t, J g :

Turbine and generator moment of inertias

K tg :

Shaft stiffness

L ls , L lr :

Stator and rotor leakage inductance

L m :

Mutual inductance

p :

Number of pole pairs

P e :

Electrical power

P m :

Turbine output power

R RL , L RL :

Grid coupling inductor

R s , R r :

Stator and rotor resistance

T e :

Electrical torque

T m :

Mechanical torque

V T :

Terminal Voltage

v w :

Wind speed

X droop :

Droop reactance

β :

Blade pitch angle

θ t g :

Angular displacement of turbine and generator

λ :

Ratio of blade tip speed to v w

ρ :

Air density

\({\varphi}\) :

Magnetic flux

ω :

Rotational speed

References

  1. Kundur P.: Power system stability and control, 1426–1434 McGraw-Hill, New York (1994)

    Google Scholar 

  2. Guatam D., Vittal V., Harbour T.: Impact of increased penetration of DFIG-based wind turbine generators on transient and small signal stability of power systems. IEEE Trans. Power Syst. 24(3), 1426–1434 (2009)

    Article  Google Scholar 

  3. Slootweg J.J.G., Kling W.L.: The impact of large scale wind power generation on power system oscillations. Electr. Power Syst. Res. 67(1), 9–20 (2003)

    Article  Google Scholar 

  4. Fernandez R.D., Mantz R.J., Battaiotto P.E.: Impact of wind farms on a power system: An eigenvalue analysis approach. Renew. Energy 32(10), 1676–1688 (2007)

    Article  Google Scholar 

  5. Tsourakis G., Nomikos B.M., Vournas C.D.: Effect of wind parks with doubly fed asynchronous generators on small-signal stability. Electr. Power Syst. Res. 79, 190–200 (2009)

    Article  Google Scholar 

  6. Tsourakis G., Nomikos B.M., Vournas C.D.: Contribution of doubly fed wind generators to oscillation damping. IEEE Trans. Power Syst. 24(3), 783–791 (2009)

    Google Scholar 

  7. Hagstrøm E., Norheim I., Uhlen K.: Large-scale wind power integration in Norway and impact on damping in the Nordic grid. Wind Energy 8(3), 375–384 (2005)

    Article  Google Scholar 

  8. Fan, L.; Miao, Z.; Osborn, D.: Impact of doubly fed wind turbine generation on inter-area oscillation damping. In: Proceedings of IEEE Power Engineering Social General Meeting, pp. 1–8 (2008)

  9. Mei F., Pal B.: Modal analysis of grid-connected doubly fed induction generators. IEEE Trans. Power Syst. 22(3), 728–736 (2007)

    Google Scholar 

  10. Ackerman T.: Wind power in power systems. Wiley, London (2005)

    Book  Google Scholar 

  11. Salman S.K., Teo A.L.J.: Windmill modeling consideration and factors influencing the stability of a grid-connected wind power-based embedded generator. IEEE Trans. Power Syst. 18(2), 793–802 (2003)

    Article  Google Scholar 

  12. Krause, P.C.; Wasynczuk, O.; Sudhoff, S.D.: Analysis of electric machinery. IEEE Press, Piscataway (2002)

  13. MATLAB Help Tutorial, The Math Works, Inc. Version 7.8.0.347, 2009. Online: http://www.mathworks.com/help/toolbox/physmod/powersys/ref/windturbinedoublyfedinductiongeneratorphasortype.html

  14. Miller, N.W.; Price, W.W.; Sanchez-Gasca, J.J.: Dynamic modeling of GE 1.5 and 3.6 wind turbine-generators, GE Power Systems, Ver. 3 (2003)

  15. Fernández L.M., García C.A., Saenz J.R., Jurado F.: Equivalent models of wind farms by using aggregated wind turbines and equivalent winds. Energy Conv. Man. 50(3), 691–704 (2009)

    Article  Google Scholar 

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Correspondence to Seyed Zeinolabedin Moussavi.

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Moussavi, S.Z., Kashkooli, F.R. Small Signal Stability Assessment of Power Systems with Large-Scale Wind Farms. Arab J Sci Eng 38, 2493–2502 (2013). https://doi.org/10.1007/s13369-013-0562-9

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  • DOI: https://doi.org/10.1007/s13369-013-0562-9

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