Previous |  Up |  Next


linear matrix inequality; robust model predictive control; doubly fed induction generator; active and reactive power; optimization
The optimal and reliable performance of doubly fed induction generator is essential for the efficient and optimal operation of wind energy conversion systems. This paper considers the nonlinear dynamic of a DFIG linked to a power grid and presents a new robust model predictive control technique of active and reactive power by the use of the linear matrix inequality in DFIG-based WECS. The control law is obtained through the LMI-based model predictive control that allows considering both economic and tracking factors by optimization of an objective function, constraints on control signal and states of system and effects of nonlinearities, generator parameter uncertainties and external disturbances. Robust stability in the face of bounded disturbances and generator uncertainty is shown using Lyapunov technique. Numerical simulations show that the proposed control method is able to meet the desired specification in active and reactive power control in the presence of varieties of wind speed and pitch angle.
[1] S., Boyd,, L., Ghaui,, E., Feron,, V., Balakrishnan,: Linear Matrix Inequalities in Control Theory. SIAM, Philadelphia 1994. DOI 10.1137/1.9781611970777
[2] P., Campo,, M., Morari,: Robust model predictive control. In: Proc. American Control Conference, Minneapolis 1987.
[3] S., Chondrogiannis,, M., Barnes,: Stability of doubly-fed induction generator under stator voltage orientated vector control. IET Renew. Power Gener. 2 (2008), 170-180. DOI 10.1049/iet-rpg:20070086
[4] M., Depenbrock,: Direct self-control (DSC) of inverter-fed induction machine. IEEE Trans. Power Electron. 3 (1988), 420-429. DOI 10.1109/63.17963
[5] J., Dong,, S., Li,, S., Wu,, T., He,, B., Yang,, H., Shu,, J., Yu,: Nonlinear observer-based robust passive control of doubly-fed induction generators for power system stability enhancement via energy reshaping. Energies 10 (2017), 8, 1082. DOI 10.3390/en10081082
[6] M., Duong,, F., Grimaccia,, S., Leva,, M., Mussetta,, E., Ogliari,: Pitch angle control using hybrid controller for all operating regions of SCIG wind turbine system. Renew. Energy 70 (2014), 197-203. DOI 10.1016/j.renene.2014.03.072
[7] M., Fei,, B., Pal,: Modal analysis of grid-connected doubly fed induction generators. IEEE Trans. Energy Convers 22 (2007), 728-736. DOI 10.1109/tec.2006.881080
[8] V., Ghaffari,, Vahid, Naghavi, S., A., Safavi, A., M., Shafiee,: An LMI framework to design robust MPC for a class of nonlinear uncertain systems. In: Control Conference (ASCC), Asian 2013. DOI 10.1109/ascc.2013.6606169
[9] S., Hao,, E., Abdi,, F., Barati,, R., McMahon,: Stator-flux-oriented vector control for brushless doubly fed induction generator. IEEE Trans. Ind. Electron. 56 (2009), 4220-4228. DOI 10.1109/tie.2009.2024660
[10] B., Hopfensperger,, D., Atkinson,, R., Lakin,: Stator-flux-oriented control of a doubly-fed induction machine with and without position encoder. IEE Proc. Electr. Power Appl. 147 (2000), 241-250. DOI 10.1049/ip-epa:20000442
[11] J., Hu,, Y., He,, L., Xu,, B., Williams,: Improved control of DFIG systems during network unbalance using PI-R current regulators. IEEE Trans. Ind. Electron. 56 (2009), 439-451. DOI 10.1109/tie.2008.2006952
[12] J., Hu,, J., Zhu,, D., Dorrell,: Model-predictive direct power control of doubly-fed induction generators under unbalanced grid voltage conditions in wind energy applications. IET Renew. Power Gener. 8 (2014), 687-695. DOI 10.1049/iet-rpg.2013.0312
[13] M., Kothare,, V., Balakrishnan,, M., Morari,: Robust constrained model predictive control using linear matrix inequalities. Automatica 32 (1996), 10, 1361-1379. DOI 10.1016/0005-1098(96)00063-5 | MR 1420038
[14] M., Liserre,, R., Cardenas,, M., Molinas,, J., Rodriguez,: Overview of multi-MW wind turbines and wind parks. IEEE Trans. Ind. Electron. 58 (2011), 4, 1081-1095. DOI 10.1109/tie.2010.2103910
[15] Y., Lu,, Y., Arkun,: Quasi-min-max MPC algorithms for LPV systems. Automatica 36 (2000), 4, 527-540. DOI 10.1016/s0005-1098(99)00176-4 | MR 1828899
[16] R., Pena,, J., Clare,, G., Asher,: Doubly fed induction generator using back-to-back PWM converters and its application to variable-speed wind-energy generation. IEE Proc. Electr. Power Appl. 143 (1996), 231-241. DOI 10.1049/ip-epa:19960288
[17] N., Poursafar,, H., Taghirad,, M., Haeri,: Model predictive control of nonlinear discrete time systems: a linear matrix inequality approach. IET Proc. Control Theory Appl. 4 (2010), 1922-1932. DOI 10.1049/iet-cta.2009.0650 | MR 2760324
[18] W., Qiao,: Dynamic modeling and control of doubly fed induction generators driven by wind turbines. In: Proc. IEEE/PES Power Systems Conference and Exposition, Seattle 2009. DOI 10.1109/psce.2009.4840245
[19] X., Sun,, B., Zhang,, X., Tang,, B., McLellan,, M., Höök,: Sustainable energy transitions in China: Renewable. Energies 9 (2016), 980. DOI 10.3390/en9120980
[20] F., Tahir,, M., Jaimoukha, I.: Robust model predictive control through dynamic state-feedback: An LMI approach. IFAC Proc. Vol. 40 (2011), 1, 3672-3677. DOI 10.3182/20110828-6-it-1002.03112
[21] I., Takahashi,, T., Noguchi,: A new quick-response and high-efficiency control strategy of an induction motor. IEEE Trans. Ind. Appl. (1986), 820-827. DOI 10.1109/tia.1986.4504799
[22] B., Yang,, L., Jiang,, L., Wang,, W., Yao,, Q., Wu,: Nonlinear maximum power point tracking control and modal analysis of DFIG based wind turbine. Int. J. Electr. Power Energy Syst. 74 (2016), 429-436. DOI 10.1016/j.ijepes.2015.07.036
[23] B., Yang,, X., Zhang,, T., Yu,, H., Shu,, Z., Fang,: Grouped grey wolf optimizer for maximum power point tracking of doubly-fed induction generator based wind turbine. Energy Convers. Manag. 133 (2017), 427-443. DOI 10.1016/j.enconman.2016.10.062
[24] W., Yao,, J., Lin,, W., Jinyu,, W., Qinghua,, C., Shijie,: Wide-area damping controller for power system inter-area oscillations: A networked predictive control approach. IEEE Trans. Control Syst. Technol. 23 (2015), 27-37. DOI 10.1109/tcst.2014.2311852
[25] S.-Y., Yu,, C., Bohm,, H., Chen,, F., Allgower,: Robust model predictive control with disturbance invariant sets. In: Proc. Amer. Contr. Conf., Baltimore 2010. DOI 10.1109/acc.2010.5531520
[26] D., Zhi,, L., Xu,: Direct power control of DFIG with constant switching frequency and improved transient performance. IEEE Trans. Energy Convers. 22 (2007), 110-118. DOI 10.1109/tec.2006.889549
[27] D., Zhi,, L., Xu,, B., Williams,: Model-based predictive direct power control of doubly fed induction generators. IEEE Trans. Power Electron. 25 (2010), 341-351. DOI 10.1109/tpel.2009.2028139
Partner of
EuDML logo