Abstract
Large-scale integration of wind farms in transmission networks has led to several challenges; one of which is the need for increased transmission capacity to transport bulk amounts of wind power. Series compensation is an established means of enhancing the power transfer capability of existing transmission lines and is being increasingly considered for integrating large wind power plants. However, series-compensated transmission lines may cause subsynchronous resonance (SSR) in turbine-generators, which can lead to electrical instability at subsynchronous frequencies and potential turbine-generator shaft failures. This chapter presents a thorough mathematical analysis of SSR in a double-cage induction generator (IG) based wind farm connected to a series-compensated transmission line and its mitigation. The prediction of SSR is done for a wide range of wind farm sizes and series compensation levels through eigenvalue studies and equivalent circuit analysis. Two types of STATCOM controllers are proposed and tested with an aggregated wind farm model. In the proposed controller-I the DC voltage remains uncontrolled and only the angular difference between the STATCOM terminal and the Point of Common Coupling (PCC) bus voltage is controlled. In controller-II, the DC link capacitor voltage is controlled by the phase angle difference between the STATCOM terminal and PCC bus voltage. Both the modulation index and angle are controlled in this controller. Studies are conducted for three different induction generators used in commercial wind farms. Fault studies are also conducted at different locations.
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American Wind Energy Association (Online). http://www.awea.org/
Canada Wind Energy Association (Online). http://www.canwea.ca/
European Wind Energy Association (Online). http://www.ewea.org/
Electric Reliability Council of Texas (Online). http://www.ercot.com/
Ackerman T (2005) Wind power in power systems. Wiley, New York
Akhmatov V (2007) Induction generators for wind power. Multi Science, UK
Boldea I (2006) Variable speed generators. CRC Press, New York
Fox B, Flynn D, Bryans L, Jenkins N, Milborrow D, O’Malley M, Watson R, Anaya-Lara O (2007) Wind power integration: connection and system operation aspects. IET power and energy series, United Kingdom
Jenkins N, Allan R, Crossley P, Krschen D, Strbac G (2008) Embedded generation. IET power and energy series, United Kingdom
Pourbeik P, Koessler RJ, Dickmander DL, Wong W (2003) Integration of large wind farms into utility grids (Part 2—performance issues). In: Proceedings 2003 IEEE PES GM, pp 1520–1525
Henderson M, Bertagnolli D, Ramey D (2009) Planning HVDC and FACTS in New England. In: Proceedings 2009 IEEE/PES PSCE, pp 1–3
Ercot CREZ Transmission optimization study (Online). Available www.ercot.com http://transmission.bpa.gov/business/generation_interconnection/documents/STD-N-000001-00-01_071509.pdf
Southern Alberta Transmission Reinforcement Needs Identification Document (Online). Available http://www.aeso.ca
Wagner CF (1941) Self-excitation of induction motors with series capacitors. Trans Am Inst Electr Eng 60(12):1241–1247
Limebeer DJN, Harley RG (1981) Subsynchronous resonance of single-cage induction motors. IEE Proc B Electr Power Appl 128(1):33–42
Limebeer DJN, Harley RG (1981) Subsynchronous resonance of deep-bar induction motors. IEE Proc B Electr Power Appl 128(1):43–51
Bowler CE, Khan E (2005) Wilmarth-Lakefield 345 kV transmission series capacitor study: phase 2 SSR evaluation report Rev.1.0. Xcel Energy Inc. internal report
Tabesh A, Iravani R (2006) Small-signal dynamic model and analysis of a fixed-speed wind farm—a frequency response approach. IEEE Trans Power Deliv 21(2):778–787
Varma RK, Auddy S (2006) Mitigation of subsynchronous oscillations in a series compensated wind farm with static var compensator. In: Proceedings 2006 IEEE power engineering society general meeting, pp 1–7
Varma RK, Auddy S (2006) Mitigation of subsynchronous resonance by SVC using PMU-acquired remote generator speed. In: Proceedings 2006 IEEE power India conference, pp 1–8
Varma RK, Semsedini Y, Auddy S (2007) Mitigation of subsynchronous oscillations in a series compensated wind farm with thyristor controlled series capacitor (TCSC). In: Proceedings 2007 power systems conference: advanced metering, protection, control, communication, and distributed resources, pp 331–337
Varma RK, Auddy S, Semsedini Y (2008) Mitigation of subsynchronous resonance in a series-compensated wind farm using FACTS controllers. IEEE Trans Power Deliv 23(3):1645–1654
Ostadi A, Yazdani A, Varma RK (2009) Modeling and stability analysis of a DFIG-based wind-power generator interfaced with a series-compensated line. IEEE Trans Power Deliv 24(3):1504–1514
El-Moursi MS, Bak-Jensen B, Abdel-Rahman MH (2010) Novel STATCOM controller for mitigating SSR and damping power system oscillations in a series compensated wind park. IEEE Trans Power Electron 25(2):429–441
El-Moursi MS (2012) Mitigating subsynchronous resonance and damping power system oscillation in a series compensated wind park using a novel static synchronous series compensator control algorithm. Wind Eng 15(3):363–377
Fan L, Kavasseri R, Miao ZL, Zhu C (2010) Modeling of DFIG-based wind farms for SSR analysis. IEEE Trans Power Deliv 25(4):2073–2082
Fan L, Zhu C, Miao Z, Hu M (2011) Modal analysis of a DFIG-based wind farm interfaced with a series compensated network. IEEE Trans Energy Convers 26(4):1010–1020
Irwin GD, Jindal AK, Isaacs AL (2011) Subsynchronous control interactions between type 3 wind turbines and series compensated AC transmission systems. In: Proceedings 2011 IEEE PES GM, pp 1–6
Fan L, Miao Z (2012) Mitigating SSR using DFIG-based wind generation. IEEE Trans Sustain Energy 3(3):349–358
Subsynchronous interaction between Series-Compensated Transmission Lines and Generation (Online). Available http://www.nerc.com/files/LL_45_SubsynchronousInteraction.pdf
Narendra K, Fedirchuk D, Midence R, Zhang N, Mulawarman A, Mysore P, Sood V (2011) New microprocessor based relay to monitor and protect power systems against sub-harmonics. In: Proceedings 2011 IEEE electrical power and energy conference, pp 438–443
Bongiorno M, Peterson A, Agneholm E (2011) The impact of wind farms on subsynchronous resonance in power systems. Elforsk Report 11:29
Anderson PM, Farmer RG (1996) Series compensation of power systems. PBLSH Publication, California
Anderson PM, Agrawal BL, Van Ness JE (1990) Subsynchronous resonance in power systems. IEEE Publication, New York
IEEE committee report (1977) First benchmark model for computer simulation of subsynchronous resonance. IEEE Trans Power Apparatus Syst 96(5):1565–1572
IEEE Committee Report (1985) Terms, definitions and symbols for subsynchronous oscillations. IEEE Trans Power Apparatus Syst PAS-104(6):1326–1334
Padiyar KR (1999) Analysis of subsynchronous resonance in power system. Kluwer Academic Publisher, USA
IEEE Committee Report (1992) Reader’s guide to subsynchronous resonance. IEEE Trans Power Syst 7(1):150–157
Johansson N, Angquist L, Nee HP (2011) A comparison of different frequency scanning methods for study of subsynchronous resonance. IEEE Trans Power Syst 26(1):356–363
Agrawal BL, Farmer RG (1979) Use of frequency scanning techniques for subsynchronous resonance analysis. IEEE Trans Power Apparatus Syst PAS-98(2):341–349
El-Marsafawy M (1983) Use of frequency-scan techniques for subsynchronous-resonance analysis of a practical series-capacitor compensated AC network. In: IEE proceedings C generation, transmission and distribution vol 130, no 1, pp 28–40
Crow ML (2010) Computational methods for electric power systems. CRC Press, New York
Anaya-Lara O, Jenkins N, Ekanayake J, Cartwright P, Guges M (2009) Wind energy generation: modeling and control. Wiley, USA
MATLAB (2011) The language for technical computing. The Mathworks Inc
Application guide PSCAD/EMTDC (Online). Available https://pscad.com/sites/default/files/documents/Application_Guide_2008.pdf
Moharana AK (2012) Subsynchronous resonance in wind farms. PhD dissertation, University of Western Ontario, Canada
Hau E (2006) Wind turbines: fundamentals, technologies, application, economics, 2nd edn. Springer, Germany
Lubosny Z (2003) Wind turbine operation in electric power systems. Springer, Germany
Muyeen SM, Ali MH, Takahashi R, Murata T, Tamura J, Tomaki Y, Sakahara A, Sasano E (2007) Comparative study on transient stability analysis of wind turbine generator system using different drive train models. IET Renew Power Gener 1(2):131–141
Petru T, Thiringer T (2002) Modeling of wind turbines for power system studies. IEEE Trans Power Syst 17(4):1132–1139
Mei F, Pal B (2007) Modal analysis of grid-connected doubly fed induction generators. IEEE Trans Energy Convers 22(3):728–736
Pal B, Mei F (2008) Modelling adequacy of the doubly fed induction generator for small-signal stability studies in power systems. IET Renew Power Gener 2(3):181–190
Perdana A (2008) Dynamic model of wind turbines. PhD dissertation, Chalmers University of Technology, Sweden
Levi E, Rauski D (1993) Modeling of deep-bar and double cage self-excited induction generators for wind-electricity generation studies. Electr Power Syst Res 27(1):73–81
Levi E (1997) General method of magnetizing flux saturation modeling in d-q axis models of double-cage induction machines. IEE Proc—Electr Power Appl 144(2):101–109
Pedra J, Candela I, Sainz L (2009) Modelling of squirrel-cage induction motors for electromagnetic transient programs. IET Electr Power Appl 3(2):111–122
Pedra J, Corcoles F, Monjo L, Bogarra S, Rolan A (2012) On Fixed-speed WT generator modeling for rotor speed stability studies. IEEE Trans Power Syst 27(1):397–406
Pedra J, Corcoles F (2004) Estimation of induction motor double-cage model parameters from manufacturer data. IEEE Trans Energy Convers 19(2):310–317
Kundur P (1994) Power system stability and control. McGraw-Hill, New York
Germond AJ, Podmore R (1978) Dynamic aggregation of generating unit models. IEEE Trans Power Apparatus Syst PAS-97(4):1060–1069
Chan SM, Cresap RL, Curtice DH (1984) Wind turbine cluster model. IEEE Trans Power Apparatus Syst PAS-103(7):1692–1698
Nozari FK, David Price M, William W (1987) Aggregation of induction motors for transient stability load modeling. IEEE Trans Power Syst 2(4):1096–1103
Taleb M, Akbaba M, Abdullah EA (1994) Aggregation of induction machines for power system dynamic studies. IEEE Trans Power Syst 9(4):2042–2048
Louie KW (2006) Aggregating induction motors in a power system based on their standard specifications. In: Proceedings 2006 international conference on power system technology, pp 1–8
Patil KV, Senthil J, Jiang J, Mathur RM (1998) Application of STATCOM for damping torsional oscillations in series compensated AC systems. IEEE Trans Energy Convers 13(3):237–243
Schauder C, Mehta H (1993) Vector analysis and control of advanced static VAr compensators. In: IEE proceedings C generation, transmission and distribution vol 140, no. 4, pp 299–306, Jul 1993
Moharana A, Varma RK, Seethapathy R (2014) SSR alleviation by STATCOM in induction-generator-based wind farm connected to series compensated line. IEEE Trans Sustain Energy 5(3):947–957
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Moharana, A.K., Varma, R.K. (2015). STATCOM Application for Mitigation of Subsynchronous Resonance in Wind Farms Connected to Series-Compensated Transmission Lines. In: Shahnia, F., Rajakaruna, S., Ghosh, A. (eds) Static Compensators (STATCOMs) in Power Systems. Power Systems. Springer, Singapore. https://doi.org/10.1007/978-981-287-281-4_18
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