Adaptive fractional‐order control of power system frequency in the presence of wind turbine

Inertial and droop control are common methods for improving grid frequency control. Using the first-order derivative of the frequency in the inertial control loop only investigates the rate of frequency variation, while other useful information is not taken into consideration. Accordingly, in this study, the application of a fractional-order derivative (between 1 and 2) in the inertial control loop is proposed to have more useful frequency-based information. To achieve this goal, firstly continued fraction approximations and secondly, the discretization is adopted by using the Tustin Method with Prewarping. Inertia loop and droop loop gain have a significant impact on the operation of the wind turbines and the power system frequency control. Therefore, in this paper, a novel method for the adaptive adjusting of droop and inertia control loops gains in DFIG is proposed. To utilize more frequency error information, fractional-order adaptive law is proposed to update the loop gains and the inertia control loop. In order to have a robust system, which is permanently stable for every fractional order (FO), is used parameter space method. Simulation results demonstrate the proper performance of the FO-based adaptive approach to increase the frequency nadir (FN) and decrease the frequency variations.

[1]  Josep M. Guerrero,et al.  Generic inertia emulation controller for multi-terminal voltage-source-converter high voltage direct current systems , 2014 .

[2]  Saptarshi Das,et al.  Kriging Based Surrogate Modeling for Fractional Order Control of Microgrids , 2014, IEEE Transactions on Smart Grid.

[3]  Philip C. Taylor,et al.  Network State-Based Algorithm Selection for Power Flow Management Using Machine Learning , 2015, IEEE Transactions on Power Systems.

[4]  Asier Ibeas,et al.  Adaptive Fractional Order Terminal Sliding Mode Control of a Doubly Fed Induction Generator-Based Wind Energy System , 2017, IEEE Access.

[5]  Mohammad Verij Kazemi,et al.  Minimization of powers ripple of direct power controlled DFIG by fuzzy controller and improved discrete space vector modulation , 2012 .

[6]  N. D. Hatziargyriou,et al.  Frequency Control in Autonomous Power Systems With High Wind Power Penetration , 2012, IEEE Transactions on Sustainable Energy.

[7]  Yasser Abdel-Rady I. Mohamed,et al.  Analysis and Mitigation of Undesirable Impacts of Implementing Frequency Support Controllers in Wind Power Generation , 2016, IEEE Transactions on Energy Conversion.

[8]  Eduard Muljadi,et al.  Dynamic Droop–Based Inertial Control of a Doubly-Fed Induction Generator , 2016, IEEE Transactions on Sustainable Energy.

[9]  F. Katiraei,et al.  Small-signal dynamic model of a micro-grid including conventional and electronically interfaced distributed resources , 2007 .

[10]  Yasser Abdel-Rady I. Mohamed,et al.  Analysis and Impacts of Implementing Droop Control in DFIG-Based Wind Turbines on Microgrid/Weak-Grid Stability , 2015, IEEE Transactions on Power Systems.

[11]  Cristian Jecu,et al.  Contribution to frequency control through wind turbine inertial energy storage , 2009 .

[12]  Mohammad Shahidehpour,et al.  DFIG performance improvement in grid connected mode by using fractional order [PI] controller , 2018 .

[13]  Muhammad Asghar,et al.  Performance comparison of wind turbine based doubly fed induction generator system using fault tolerant fractional and integer order controllers , 2018 .

[14]  Nilanjan Senroy,et al.  Primary frequency regulation by deloaded wind turbines using variable droop , 2013 .

[15]  Lie Xu,et al.  Direct active and reactive power control of DFIG for wind energy generation , 2006, IEEE Transactions on Energy Conversion.

[16]  Mohammad Verij Kazemi,et al.  Fuzzy logic control to improve the performance of the direct power control based DFIG , 2013 .

[17]  Vivekananda Mukherjee,et al.  Load Frequency Control of a Two-Area Thermal-Hybrid Power System Using a Novel Quasi-Opposition Harmony Search Algorithm , 2016 .

[18]  Eduard Muljadi,et al.  Disturbance-Adaptive Short-Term Frequency Support of a DFIG Associated With the Variable Gain Based on the ROCOF and Rotor Speed , 2017, IEEE Transactions on Power Systems.

[19]  Joao P. S. Catalao,et al.  Fractional-order control and simulation of wind energy systems with PMSG/full-power converter topology , 2010 .

[20]  L Josephine.R.,et al.  Estimating PMSG Wind Turbines by Inertia and Droop Control Schemes with Intelligent Fuzzy Controller in Indian Development , 2014 .

[21]  Vivekananda Mukherjee,et al.  Fractional order fuzzy PID controller for wind energy-based hybrid power system using quasi-oppositional harmony search algorithm , 2017 .

[22]  Kalyan Chatterjee,et al.  A review of conventional and advanced MPPT algorithms for wind energy systems , 2016 .

[23]  Yogesh V. Hote,et al.  Fractional order PID controller for load frequency control , 2014 .

[24]  Sahin Sonmez,et al.  Stability Region in the Parameter Space of PI Controller for a Single-Area Load Frequency Control System With Time Delay , 2016, IEEE Transactions on Power Systems.

[25]  Mohammad Verij Kazemi,et al.  Direct power control of DFIG based on discrete space vector modulation , 2010 .

[26]  Yasser Abdel-Rady I. Mohamed,et al.  Dynamic Droop Control for Wind Turbines Participating in Primary Frequency Regulation in Microgrids , 2018, IEEE Transactions on Smart Grid.

[27]  Taher Niknam,et al.  Analysis, control and design of speed control of electric vehicles delayed model: multi-objective fuzzy fractional-order P I λ D μ controller , 2017 .

[28]  Shantanu Das,et al.  Performance Comparison of Optimal Fractional Order Hybrid Fuzzy PID Controllers for Handling Oscillatory Fractional Order Processes with Dead Time , 2013, ISA transactions.

[29]  Pedro Rodriguez,et al.  Inertia Emulation in AC/DC Interconnected Power Systems Using Derivative Technique Considering Frequency Measurement Effects , 2017, IEEE Transactions on Power Systems.

[30]  Frede Blaabjerg,et al.  Load Frequency Control in Microgrids Based on a Stochastic Noninteger Controller , 2018, IEEE Transactions on Sustainable Energy.