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Frontiers in Energy

Front. Energy    2016, Vol. 10 Issue (3) : 298-307     https://doi.org/10.1007/s11708-016-0411-0
RESEARCH ARTICLE |
Robust direct power control based on the Lyapunov theory of a grid-connected brushless doubly fed induction generator
M. Abdelbasset MAHBOUB1,*(),Said DRID1,M. A. SID2,Ridha CHEIKH3
1. LSPIE Laboratory of Propulsion-Induction Electromagnetic, Department Electrical Engineering University of Batna, Batna 05000, Algeria
2. LAS Laboratory, Department of Electrical Engineering, Setif University, Setif 19000, Algeria
3. LGEB Laboratory, Department of Electrical Engineering, Biskra University, Biskra 07000, Algeria; UDES Unité de Développement des Equipement Solaires, Centre de éveloppement des Energies Renouvelables, Tipaza 42415, Algeria
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Abstract

This paper deals with robust direct power control of a grid-connected brushless doubly-fed induction generator(BDFIG). Using a nonlinear feedback linearization strategy, an attempt is made to improve the desired performances by controlling the generated stator active and reactive power in a linear and decoupled manner. Therefore, to achieve this objective, the Lyapunov approach is used associated with a sliding mode control to guarantee the global asymptotical stability. Thus, an optimal operation of the BDFIG in sub-synchronous operation is obtained as well as the stator power flows with the possibility of keeping stator power factor at a unity. The proposed method is tested with the Matlab/Simulink software. Simulation results illustrate the performances and the feasibility of the designed control.

Keywords brushless doubly fed induction generator (BDFIG)      vector control      Lyapunov theory      power factor unity      active and reactive power     
Corresponding Authors: M. Abdelbasset MAHBOUB   
Just Accepted Date: 25 April 2016   Online First Date: 03 June 2016    Issue Date: 07 September 2016
 Cite this article:   
M. Abdelbasset MAHBOUB,Said DRID,M. A. SID, et al. Robust direct power control based on the Lyapunov theory of a grid-connected brushless doubly fed induction generator[J]. Front. Energy, 2016, 10(3): 298-307.
 URL:  
http://journal.hep.com.cn/fie/EN/10.1007/s11708-016-0411-0
http://journal.hep.com.cn/fie/EN/Y2016/V10/I3/298
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M. Abdelbasset MAHBOUB
Said DRID
M. A. SID
Ridha CHEIKH
Fig.1  Configuration of BDIFG wind energy
Fig.2  Different reference frame in BDFIG
Fig.3  Schematic diagram of stator (CW) side converter
Fig.4  Block diagram of BDFIG control scheme
Power winding (PW) Control winding (CW) Rotor
Resistance/Ω Rsp=1.732 Rsc=1.079 Rr=0.473
Self inductance/mH Lsp=714.8 Lsc=121.7 Lr=132.6
Mutual inductance/mH Lmp=242.1 Lmc=59.8 _
Pole pair numbers Pp=3 Pc=1 _
Tab.1  Electrical parameters of prototype BDFIG for simulation [6]
Fig.5  Response of stator

(a) Active power; (b) reactive power

Fig.6  Stator (PW) power factor
Fig.7  Stator (PW) voltage and current
Fig.8  Stator (PW) current ispd and ispq
Fig.9  Parameter variations
Fig.10  Stator (PW) active and reactive power response

(a) Vector control; (b) Lyapunov control

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