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Sunday 3 July 2022

A Sub-Synchronous Oscillation Suppression Strategy for Doubly Fed Wind Power Generation System

ABSTRACT:

During the power transmission of doubly-fed induction generator (DFIG), due to the influence of series compensating capacitance and long-distance transmission, DFIG is prone to sub-synchronous oscillation, which damages the stability of the system. By establishing the mathematical model of DFIG system, the cause of sub-synchronous oscillation and its influence on the control strategy of DFIG system are discussed. In order to solve the problem of performance degradation of traditional phase-locked loop (PLL) under sub-synchronous oscillation, an improved PLL is proposed to replace the traditional PLL. Aiming at the problem that the control of rotor side converter(RSC) and grid side converter(GSC) in doubly-fed wind power generation system under sub-synchronous oscillation is disturbed by harmonic signals, a control method of adding a quasi resonant controller in the control link of RSC and GSC to suppress sub-synchronous oscillation is proposed, and the feasibility of the method is verified by simulation and experiment. Finally, based on the research process of RSC direct resonance control, the sub-synchronous oscillation suppression strategy based on harmonic current extraction is proposed for the frequency adaptability of the quasi resonant controller. The actual performance of the sub-synchronous oscillation suppression strategy is verified through simulation and experiment. The experimental results show that the strategy is effective.

KEYWORDS:

1.      Doubly fed induction generator

2.      Sub-synchronous oscillation

3.      Rotor side converter

4.      Stator side converter

5.      Phase-locked loop

6.      Quasi resonance controller

SOFTWARE: MATLAB/SIMULINK

BLOCK DIAGRAM:


Figure 1. Structure Diagram Of Dfig Wind Power System Experimental Prototype. 

EXPECTED SIMULATION RESULTS:


Figure 2. Frequency Response Of F3(S).


Figure 3. Simulation Waveform Under Sub-Synchronous Oscillation.


Figure 4. Rsc Direct Resonance Control Simulation Waveform.


Figure 5. Gsc Direct Resonance Control Simulation Waveform.


Figure 6. Simulation Diagram Of Sub-Synchronous Oscillation Suppression Strategy Based On Harmonic Current Extraction.


Figure 7. The Resonant Controller Suppresses The Experimental Waveform Of The Ssci.


Figure 8. Waveforms Were Compared Before And After 10hz Synchronous Oscillation Suppression.

 

REFERENCES:

[1] C. Guoping, L. Mingjie, X. Tao, and L. Mingsong, ``Study on technical bottleneck of new energy development,'' Proc. CSEE, vol. 37, no. 1, pp. 20_26, 2017.

[2] C. Guoping, L. Mingjie, X. Tao, Z. Jianyun, and W. Chao, ``Practice and challenge of renewable energy development based on interconnected power grids,'' Power Syst. Technol., vol. 41, no. 10, pp. 3095_3103, 2017.

[3] O. P. Mahela, N. Gupta, M. Khosravy, and N. Patel, ``Comprehensive overview of low voltage ride through methods of grid integrated wind generator,'' IEEE Access, vol. 7, pp. 99299_99326, 2019.

[4] X. Xiaorong, H. Jingbo, M. Hangyin, and L. Haozhi, ``New issues and classi_cation of power system stability with high shares of renewables and power electronics,'' Proc. CSEE, vol. 41, no. 2, pp. 461_474.

[5] G. F. Gontijo, T. C. Tricarico, L. F. da Silva, D. Krejci, B. W. França, M. Aredes, and J. M. Guerrero, ``Modeling, control, and experimental verification of a DFIG with a series-grid-side converter with voltage sag, unbalance, and distortion compensation capabilities,'' IEEE Trans. Ind. Appl., vol. 56, no. 1, pp. 584_600, Jan. 2020.

A Novel Unified Controller for Grid-Connected and Islanded Operation of PV-Fed Single-Stage Inverter

 ABSTRACT:

 This paper presents a novel robust current droop controller (RCDC) using a single droop loop. This scheme is unified supporting dual mode of operation for micro-grids (MGs), including grid connected mode (GCM) and islanded mode (ISM) while ensuring seamless transition between the two modes with proportional power sharing maintained. The proposed controller is further incorporated with an improved maximum power point tracking (MPPT) technique presented for the parallel operation of single-stage inverters fed by multi-string PV array topology. In addition, an improved phase-locked-loop-less (PLL-less) method is presented supporting self-synchronization strategy of the parallel operation of PV-inverters with the main grid while maintaining the full capabilities of the unified control architecture. This obviates the usage of conventional PLLs, which are widely used with active synchronization techniques. The performance of the proposed control scheme is validated using real time simulations (RTS) developed by dSPACE MicroLabBox.

KEYWORDS:

1.      Smart Grid

2.      Distributed Generation

3.      Unified Droop Controller

4.      Self-Synchronization

5.      MPPT

SOFTWARE: MATLAB/SIMULINK

BLOCK DIAGRAM:


Fig. 1 Typical block diagram of the MG under study. 

EXPECTED SIMULATION RESULTS:


Fig. 2 Measured PV power under varied irradiation and temperature.


Fig. 3 Regulated DC-link voltage using the proposed MPPT algorithm.


Fig. 4 AC current set point controlled by DC voltage regulator under varied irradiation and temperature.


Fig. 5 Output active power under varied insolation and temperature level.


Fig. 6 Output reactive power under varied irradiation and temperature.


Fig. 7 Output peak currents proportionally shared between DG1 and DG2.

Fig. 8 Measured direct and quadrature axes voltages at the PCC.

 

CONCLUSION:

 This paper presents an enhanced RCDC with a simplified MPPT algorithm and PLL-less SSM for the parallel operation of single-stage inverters fed by multi-string PV arrays. The modified RCDC-QPR scheme efficiently operated in both ISM and GCM without observing any resonance effect. Only one AC current sensor has been used by the simplified P&O algorithm enhancing the design simplicity, while precisely tracking the MPP under varied insolation and temperature. Besides, good dynamic response has been resulted with tenuous perturbations owing to the adopted compromise between the P&O sampling rate and incremental voltage steps. Prominently, the design has been freely built with no regards to the operating mode, accepting the last current setpoint identified by the MPPT upon islanding with no need of setpoint manipulations thanks the flexibility of the proposed unified current controller. Depending on the proposed PLL-less SSM, the active synchronization has been successfully achieved without using dedicated PLLs or communication links between inverters. This offers a simpler design obviating the complex tuning and stability issues of normal PLLs. The general guidelines for tuning the PLL-less detector have been also outlined through quantitative analysis. The simplified MPPT and proposed PLL-less detector have both enriched the control flexibility of the original RCDC-QPR controller supporting dual mode of operation with seamless transition between these two modes, while exporting the extra PV power the main grid during GCM. Design competency has been validated using real time simulations developed by dSPACE MicroLabBox.

 REFERENCES:

 [1] A. K. Podder, N. K. Roy, and H. R. Pota, “MPPT methods for solar PV systems: a critical review based on tracking nature,” IET Renewable Power Generation, vol. 13, no. 10, pp. 1615–1632, 2019.

[2] R. Ahmad, A. F. Murtaza, and H. A. Sher, “Power tracking techniques for efficient operation of photovoltaic array in solar applications–A review,” Renewable and Sustainable Energy Reviews, vol. 101, pp. 82– 102, 2019.

[3] M. M. Hanif, “Investigation to Improve the Control and Operation of a Three-phase Photovoltaic Grid-tie Inverter,” PhD Thesis, Dublin Institute of Technology, 2011.

[4] H. Bounechba, A. Bouzid, H. Snani, and A. Lashab, “Real time simulation of MPPT algorithms for PV energy system,” International Journal of Electrical Power & Energy Systems, vol. 83, pp. 67–78, 2016.

[5] D. C. Huynh and M. W. Dunnigan, “Development and Comparison of an Improved Incremental Conductance Algorithm for Tracking the MPP of a Solar PV Panel,” IEEE Trans. Sustain. Energy, vol. 7, no. 4, pp. 1421–1429, Oct. 2016, doi: 10.1109/TSTE.2016.2556678.

A Model Predictive Control Method for Hybrid Energy Storage Systems

ABSTRACT:

The traditional PI controller for a hybrid energy storage system (HESS) has certain drawbacks, such as difficult tuning of the controller parameters and the additional filters to allocate high- and low- frequency power fluctuations. This paper proposes a model predictive control (MPC) method to control three-level bidirectional DC/DC converters for grid-connections to a HESS in a DC microgrid. First, the mathematical model of a HESS consisting of a battery and ultra capacitor (UC) is established and the neutral point voltage imbalance of a three level converter is solved by analyzing the operating modes of the converter. Secondly, for the control of the grid-connected converters, an MPC method is proposed for calculating steady state reference values in the outer layer and the dynamic rolling optimization in the inner layer. The outer layer ensures the voltage regulation and establishes the current predictive model, while the inner layer, using the model predictive current control, makes the current follow the predictive value, thus reducing the system current ripple. This cascaded topology has two independent controllers and is free of filters to realize the high-and low frequency power allocation for a HESS. Therefore, it allows two types of energy storage devices to independently regulate the voltage and realizes the power allocation of the battery and UC. Finally, simulation studies are conducted in PSCAD/EMTDC, and the effectiveness of the proposed HESS control strategy is verified in a case, such as a controller comparison and fault scenario.

KEYWORDS:

1.      Double layer control method

2.       Hybrid energy storage system (HESS)

3.      Model predictive control (MPC)

4.      Three-level DC/DC converter

SOFTWARE: MATLAB/SIMULINK

CIRCUIT DIAGRAM:

Fig. 1. The topology of a HESS.

EXPECTED SIMULATION RESULTS:

Fig. 2. Comparison under the proposed MPC method with the PI control method. (a) Bus voltage response under two methods. (b) UC voltage response under two methods.


 Fig. 3. The power response of the battery when the controller parameter _i is changed.



 Fig. 4. System voltage response in the case of short-circuiting of the UC.

(a) The response of the bus voltage during the short-circuit fault of the UC.

(b) The response of the UC voltage during the short-circuit fault of the UC.


Fig. 5. Photovoltaic module output power.

Fig. 6. Comparison between the proposed MPC method and the PI control method. (a) The bus voltage response under two methods. (b) The UC voltage response under two methods.

Fig. 7. The effectiveness under the proposed MPC method. (a) The voltage of capacitors C1 and C2. (b) Inductor L1 reference current iL1ref and actual current iL1.

 

CONCLUSION:

 In this paper, the advantages of a three-level bidirectional DC/DC converter for battery/UC HESS and the effectiveness of the proposed MPC method are discussed from both a theoretical analysis and simulation verification. At the same grid voltage level, the battery can suppress higher voltage level fluctuations after a two-stage boosting structure. Compared with the PI controller, the MPC controller doesn’t need a tedious step of adjusting parameters and various state variables are considered in each sampling instant. Moreover, the MPC algorithm based on the constant switching frequency achieves fast and accurate regulation of voltage and current with diminished ripples. Finally, the system does not need filters to allocate power fluctuations, and the control structure is optimized while the battery life is prolonged.

REFERENCES:

[1] D. Liang, C. Y. Qin, S. Y. Wang, and H. M. Guo, “Reliability evaluation of DC distribution power network,” in Proceedings of 2018 China International Conference on Electricity Distribution, Tianjin, 2018, pp. 654–658.

[2] Z. Huang, J. Ma, J. Zeng et al., “Research status and prospect of control and protection technology for DC distribution network,” in Proceedings of 2014 China International Conference on Electricity Distribution, Shenzhen, Sep. 2014, pp. 1488–1493.

[3] K. A. Joshi and N. M. Pindoriya, “Case-specificity and its implications in distribution network analysis with increasing penetration of photovoltaic generation,” CSEE Journal of Power and Energy Systems, vol. 3, no. 1, pp. 101–113, Mar. 2017.

[4] Y. Xu, T. Y. Zhao, S. Q. Zhao, J. H. Zhang, and Y. Wang, “Multiobjective chance-constrained optimal day-ahead scheduling considering BESS degradation,” CSEE Journal of Power and Energy Systems, vol. 4, no. 3, pp. 316–325, Sep. 2018.

[5] Y. Sun, Z. Zhao, M. Yang, D. Jia, W. Pei and B. Xu, “Overview of energy storage in renewable energy power fluctuation mitigation,” CSEE Journal of Power and Energy Systems, vol. 6, no. 1, pp. 160–173, Mar. 2020.

A Lyapunov-Function Based Controller for 3-Phase Shunt Active Power Filter and Performance Assessment Considering Different System Scenarios

 

ABSTRACT:

Shunt active power filter (SAPF) belongs to the class of custom power devices (CPDs) and offers compensation to harmonics originated owing to customer side nonlinear loads, reactive power and unbalance in the distribution power networks functioning in current control mode (CCM). The performance of a SAPF as a harmonic compensator entirely relies on the control technique i.e. the precise detection of the harmonic current components of load that are necessary to be compensated. In the present work, a 3-phase SAPF, inspired by a Lyapunov function based control approach, has been designed for compensation of harmonics resulted in the feeder current owing to the customer side nonlinearity. A control law is determined in the proposed strategy which makes the derivative of the Lyapunov function consistently a negative one for an entire set of stable states. The DC-link capacitor voltage is regulated at constant reference through the proportional-integral (PI) controller. In this method rating of the shunt active power filter is considerably reduced than the other two broadly employed conventional methods. Furthermore, the harmonic compensation efficacy of the proposed Lyapunov function based SAPF is compared with the one based on other two conventional approaches under four different system scenarios namely a simple nonlinear load with and without utility side voltage distortion, a modified IEEE 13 bus test distribution system loaded with a 3-phase chopper fed direct current (DC) motor drive at a single bus and last especially for increasing the harmonic-constrained penetration level of renewable energy. Results obtained through simulation performed in MATLAB/Simulink shows that total harmonic distortion (THD) of source current and dynamic, as well as steady-state performance with Lyapunov function based controller, is significantly improved than the other two conventional methods. Also, the robust compensation performance of the SAPF empowers it to deal with the high penetration of renewable energy.

KEYWORDS:

1.      SAPF

2.      Lyapunov function

3.      Harmonic compensation

4.       Hysteresis controller

5.      Renewable energy

SOFTWARE: MATLAB/SIMULINK

CIRCUIT DIAGRAM:


Figure 1. Configuration Of Sapf.

EXPECTED SIMULATION RESULTS:


Figure 2. Waveforms Of Lyapunov Function Based Control Technique (A-B) Before And (C-E) After Compensation.


Figure 3. Fft Analysis A) Before Compensation, B) After Compensation.

 

Figure 4. Dynamic Performance Of Sapf Using P-Q Theory With An Unbalanced Or Distorted Source Voltage.

 


 Figure 4. (Continued.) Dynamic Performance Of Sapf Using P-Q Theory With An Unbalanced Or Distorted Source Voltage.


Figure 5. Dynamic Performance Of Sapf Using Srf Theory With An Unbalanced Or Distorted Source Voltage.


 Figure 5. (Continued.) Dynamic Performance Of Sapf Using Srf Theory With An Unbalanced Or Distorted Source Voltage.

 

CONCLUSION:

A control algorithm, based on the Lyapunov function, is proposed for SAPF to mitigate harmonics and reactive power compensation of nonlinear loads. The performance of SAPF has been found satisfactory under all four cases of the study. The control algorithm is established on the Lyapunov function for achieving global stability in the system. The simulation results validate the control approach for SAPF. A hysteresis controller has been used to generate a switching signal for the voltage source inverter. Based on simulation results following conclusions have been drawn.

1) All the control algorithm's (p-q theory, SRF theory, Lyapunov function based control theory) performance found satisfactory i.e. THD is less than 5% according to IEEE 519 standards.

2) Under the fully fundamental plus balanced source voltage and purely nonlinear loading condition Lyapunov function-based control algorithm gives the best performance over the other two control algorithms which are commonly used.

3) The THD of the source current under the Lyapunov function based control algorithm is 1.61% in phase a, 2.33% in phase b, 1.99% in phase c when applied on a two-bus system under purely nonlinear load. In the case of a modified 13-bus system, the same with Lyapunov function based control algorithm is 1.59% in phase a, 1.61% in phase b, 1.52% in phase c.

4) In case of distortion and unbalance present in the utility's voltage, the detection of the reference current is accurately performed by the Lyapunov function-based control algorithm and superiorly in contract to the other two control algorithms.

5) It is also inferred that the dynamic response of the system with the Lyapunov function-based control algorithm to be better than the other two control algorithms.

6) Last but not the least, the harmonic and reactive power compensation offered by Lyapunov function-based SAPF is better also in the case of renewable energy's penetration. The proposed theory-based SAPF has the potential of enhancing the penetration level of HC-HC of the modern and polluted DPS up to more extent.

REFERENCES:

[1] X. Zong, P. A. Gray, and P. W. Lehn, ``New metric recommended for IEEE standard 1547 to limit harmonics injected into distorted grids,'' IEEE Trans. Power Del., vol. 31, no. 3, pp. 963_972, Jun. 2016.

[2] O. F. Kececioglu, H. Acikgoz, C. Yildiz, A. Gani, and M. Sekkeli, ``Power quality improvement using hybrid passive _lter con_guration for wind energy systems,'' J. Electr. Eng. Technol., vol. 12, no. 1, pp. 207_216, Jan. 2017.

[3] G. K. Singh, ``Power system harmonics research: A survey,'' Eur. Trans. Electr. Power, vol. 19, no. 2, pp. 151_172, Mar. 2009.

[4] S. S. Reddy and P. R. Bijwe, ``Real time economic dispatch considering renewable energy resources,'' Renew. Energy, vol. 83, pp. 1215_1226, Nov. 2015.

[5] IEEE Recommended Practice and Requirements for Harmonic Control in Electric Power Systems, IEEE Std 519-2014 (Revision IEEE Std 519- 1992), Nov. 2014, pp. 1_29.

A Common Capacitor Based Three Level STATCOM and Design of DFIG Converter for a Zero-Voltage Fault Ride-Through Capability

 

ABSTRACT:

To meet the augmented load power demand, the doubly-fed induction generator (DFIG) based wind electrical power conversion system (WECS) is a better alternative. Further, to enhance the power flow capability and raise security margin in the power system, the STATCOM type FACTS devices can be adopted as an external reactive power source. In this paper, a three-level STATCOM coordinates the system with its dc terminal voltage is connected to the common back-to-back converters. Hence, a lookup table-based control scheme in the outer control loops is adopted in the Rotor Side Converter (RSC) and the grid side converter (GSC) of DFIG to improve power flow transfer and better dynamic as well as transient stability. Moreover, the DC capacitor bank of the STATCOM and DFIG converters connected to a common dc point. The main objectives of the work are to improve voltage mitigation, operation of DFIG during symmetrical and asymmetrical faults, and limit surge currents. The DFIG parameters like winding currents, torque, rotor speed are examined at 50%, 80% and 100% comparing with earlier works. Further, we studied the DFIG system performance at 30%, 60%, and 80% symmetrical voltage dip. Zero-voltage fault ride through is investigated with proposed technique under symmetrical and asymmetrical LG fault for super-synchronous (1.2 p.u.) speed and sub-synchronous (0.8 p.u.) rotor speed. Finally, the DFIG system performance is studied with different phases to ground faults with and without a three-level STATCOM.

KEYWORDS:

1.      Doubly-fed induction generator (DFIG)

2.      Field oriented control (FOC)

3.      Common-capacitor based STATCOM

4.      Voltage compensation

5.      Balanced and unbalanced faults

6.      Zero-voltage fault ride through

SOFTWARE: MATLAB/SIMULINK

CIRCUIT DIAGRAM:

Figure 1. Grid-Connected DFIG With Three Levels Statcom Converter.

 EXPECTED SIMULATION RESULTS:

Figure 2. DFIG Operation With 50% Voltage Dip (I) Using Method In [27]. And (Ii) Using Proposed Method.

Figure 3. DFIG Operation With 50% Voltage Dip (I) Using Method In [28] And (Ii) Using Proposed Method.


 Figure 4. DFIG Operation With (I) 30% Dip, (Ii) 60% Dip And (Iii) 80% Dip In Grid Voltage.


 Figure 5. Rotor, Stator Gsc And Grid Terminal Current Waveforms With The Proposed Technique With Slg Fault. 

CONCLUSION:

 A generalized DFIG wind energy conversion system based test-bed system connected to the grid is considered in the paper. The work tested in the starting cases with two different research papers works with proposed method under an 80% dip. Later, proposed methodology compared under 30%, 60%, and 80% dip, and the DFIG behavior is examined. Further, under three different cases, LG, LLG and LLG faults without and STATCOM are compared to show STATCOM controller's effectiveness. An improved field-oriented control scheme for the DFIG with real and reactive power lookup-based control in the outer control loops. It is observed that, there is a rapid development in the back emf and decoupled current regime in the paper's inner control loops is proposed. A three-level SATCOM is used in this paper, with the rectifier end dc-link connected to the common capacitor between the DFIG back-to-back converters. A better damping factor is observed for torque, powers, current, voltage, and speed at 60%, 80%, and 100% dip with the proposed scheme.

The proposed method employs the adjustment of external real and reactive powers using the optimal lookup table method as shown in Table 3, rotor speed, and terminal voltage in the outer control loops of both RSC and GSC. The inner control loop is fast-acting current control and back emf- based voltage injection near the decoupling voltage loop. The strategy works on decoupled real and reactive power flow controls in synchronous rotating frames leads to individual power control. This technique improves performance under normal conditions and during grid faults, with better rotor voltage control, rotor speed, and damping. The post-fault behavior of an overall system improved using the proposed technique.

Further improvement in the system behavior is observed with the common- dc link STATCOM. The rectifier end dc link is connected to the capacitor between the DFIG converters, which will reduce the cost for capacitor and measurement sensors. This paper demonstrates the DFIG-based WECS with better active and reactive power and EMT damping, surge current reduction, speed control, and effective LVRT capability. There are distortions in the rotor current waveform during the zero-voltage fault ride during the fault and considerably more when the rotor speed is at super synchronous speed. When the rotor speed is beyond the synchronous speed, the rotor current is injected into the stator terminal from the rotor side windings with RSC control scheme. Under this condition, the fault inrush current from the dc-link capacitor will pass through this rotor terminal and reach the stator windings. Under sub-synchronous speed, the rotor winding will receive the current for the stator windings, so the fault effect is less influenced at lower speeds than with higher speeds. The rotor voltage is maintained at both speeds during the LG fault. However, waveform is less distorted with lower rotor speed.

The dc-link voltage distortions during the fault are more with super- synchronous speed than sub-synchronous speed operation for zero voltage ride through. The dc-link voltage is more stubborn and stable when the rotor speed is lesser than the synchronous speed. The STATCOM current is observed to be more in faulty phase than with other two healthy phases. The reason and analysis are the same as that with the symmetrical fault study. The deviation of the fault current at the STATCOM terminal is re-injected to the grid via the closed path with the dc-link capacitor terminal. The post-fault performance is superior with a serious 100% voltage dip case and also found better dynamic response because of the RSC and GSC proposed technique and the STATCOM controller. Further, an effective operation is experienced with a common link dc capacitor STATCOM than with a conventional topology. Hence, simulated results show better performance and profitable operation during and after the faults than the earlier famous methods.

With the proposed method, rotor and stator current during fault are maintained, not getting zero value and limiting surge currents to a dangerous value. However, stator and rotor current is not supported to their pre-fault value during the fault period. The torque reduction to a smaller value observed increases the grid fault dip value, but there are no surges and oscillations with the proposed method. The rotor speed is also maintained almost constant even for significant voltage dip. As a result, the post fault recovery in the DFIG is smooth and instantaneous, observed for winding voltages, currents, EMT, active and reactive powers, dc-link capacitor voltage, and rotor speed.

All the objectives specified in the Introduction section are met 1) rotor and stator current surges are limited, current surges ate within 1.5 times the operating value, mitigation in the rotor voltage observed. Furthermore, the reactive power support by STATCOM, RSC and GSC improved the DFIG WECS during and after the fault. Thereby 1) enhancement in overall dynamic and transient stability is observed. 2) The rotor speed is almost constant even for a significant grid voltage dip which is better than many research papers. 3) The electromagnetic torque (EMT) and active and reactive power flow oscillations are damped completely, and sustainable control observed with the technique. 4) The proposed method is suitable for grid faults like symmetrical, asymmetrical, and recurring faults. Better DFIG performance is expected with LVRT capability for symmetrical and asymmetrical faults with future research activities.

REFERENCES:

[1] H. A. Mohammadpour, A. Ghaderi, H. Mohammadpour, and E. Santi, ``SSR damping in wind farms using observed-state feedback control of DFIG converters,'' Electr. Power Syst. Res., vol. 123, pp. 57_66, Jun. 2015.

[2] F. Blaabjerg and K. Ma, ``Future on power electronics for wind turbine systems,'' IEEE J. Emerg. Sel. Topics Power Electron., vol. 1, no. 3, pp. 139_152, Sep. 2013.

[3] T. D. Vrionis, X. I. Koutiva, and N. A. Vovos, ``A genetic algorithm based low voltage ride-through control strategy for grid connected doubly fed induction wind generators,'' IEEE Trans. Power Syst., vol. 29, no. 3, pp. 1325_1334, May 2014.

[4] A. M. Eltamaly and H. M. Farh, ``Maximum power extraction from wind energy system based on fuzzy logic control,'' Electr. Power Syst. Res., vol. 97, pp. 144_150, Apr. 2013.

[5] Y. Weng and Y. Hsu, ``Sliding mode regulator for maximum power tracking and copper loss minimisation of a doubly fed induction generator,'' IET Renew. Power Gener., vol. 9, no. 4, pp. 297_305, May 2015.