Fractional-Order Model Predictive Frequency Control of an Islanded Microgrid

Optimal frequency control of an islanded microgrid has been a challenging issue in the research field of microgrids. Recently, fractional-order calculus theory and some related control methods have attempted to handle this issue. In this paper, a novel fractional-order model predictive control (FOMPC) method is proposed to achieve the optimal frequency control of an islanded microgrid by introducing a fractional-order integral cost function into model predictive control (MPC) algorithm. Firstly, a discrete state-space model is derived for the optimal frequency control problem of an islanded microgrid. Afterward, a fractional-order integral cost function is designed to guide the FOMPC algorithm to obtain optimal control law by borrowing the Grunwald-Letnikov (GL) definition of fractional order calculus. Six simulation studies have been carried out to illustrate the superiority of FOMPC to conventional MPC under dynamical load disturbances, perturbed system parameters and random dynamical power fluctuation of wind turbines.

[1]  Okyay Kaynak,et al.  Optimal Design of a Fractional-Order Proportional-Integer-Differential Controller for a Pneumatic Position Servo System , 2019, IEEE Transactions on Industrial Electronics.

[2]  Gui-Bin Bian,et al.  Fractional‐order PID servo control based on decoupled visual model , 2019 .

[3]  I. Ngamroo,et al.  Coordinated PHEV, PV, and ESS for Microgrid Frequency Regulation Using Centralized Model Predictive Control Considering Variation of PHEV Number , 2018, IEEE Access.

[4]  Panagiotis Patrinos,et al.  Risk-Averse Model Predictive Operation Control of Islanded Microgrids , 2018, IEEE Transactions on Control Systems Technology.

[5]  Hongmin Meng,et al.  Cooperative energy management optimization based on distributed MPC in grid-connected microgrids community , 2019, International Journal of Electrical Power & Energy Systems.

[6]  Arindam Ghosh,et al.  Networked Microgrids: State-of-the-Art and Future Perspectives , 2019, IEEE Transactions on Industrial Informatics.

[7]  Amar Kumar Barik,et al.  Expeditious frequency control of solar photovoltaic/biogas/biodiesel generator based isolated renewable microgrid using grasshopper optimisation algorithm , 2018, IET Renewable Power Generation.

[8]  Yu-Xing Dai,et al.  Design of a Fractional Order Frequency PID Controller for an Islanded Microgrid: A Multi-Objective Extremal Optimization Method , 2017 .

[9]  Miguel Romero,et al.  Fractional-Order Generalized Predictive Control: Formulation and some properties , 2010, 2010 11th International Conference on Control Automation Robotics & Vision.

[10]  YangQuan Chen,et al.  Fractional-order Systems and Controls , 2010 .

[11]  Pantelis Sopasakis,et al.  Stabilising model predictive control for discrete-time fractional-order systems , 2016, Autom..

[12]  Deepak Kumar Lal,et al.  Load Frequency Control of Multi Area Interconnected Microgrid Power System using Grasshopper Optimization Algorithm Optimized Fuzzy PID Controller , 2018, 2018 Recent Advances on Engineering, Technology and Computational Sciences (RAETCS).

[13]  Nooshin Bigdeli,et al.  The Design of a Coprime‐Factorized Predictive Functional Controller for Unstable Fractional Order Systems , 2018, Asian Journal of Control.

[14]  H. Sarimveis,et al.  Model predictive control for offset-free reference tracking of fractional order systems , 2018, 1904.11387.

[15]  Qibing Jin,et al.  Design of fractional order predictive functional control for fractional industrial processes , 2016 .

[16]  Vineeta Agarwal,et al.  A review on overall control of DC microgrids , 2019, Journal of Energy Storage.

[17]  S. Kayalvizhi,et al.  Load Frequency Control of an Isolated Micro Grid Using Fuzzy Adaptive Model Predictive Control , 2017, IEEE Access.

[18]  Yi Zheng,et al.  Feedback Linearization Based Distributed Model Predictive Control for Secondary Control of Islanded Microgrid , 2018, Asian Journal of Control.

[19]  Yong Tang,et al.  A Frequency Control Strategy Considering Large Scale Wind Power Cluster Integration Based on Distributed Model Predictive Control , 2018, Energies.

[20]  Huan Wang,et al.  Optimal P-Q Control of Grid-Connected Inverters in a Microgrid Based on Adaptive Population Extremal Optimization , 2018 .

[21]  Reza Mohammadikia,et al.  A fractional order fuzzy PID for load frequency control of four-area interconnected power system using biogeography-based optimization , 2018, International Transactions on Electrical Energy Systems.

[22]  Shantanu Das,et al.  LQR based improved discrete PID controller design via optimum selection of weighting matrices using fractional order integral performance index , 2013, 1301.0931.

[23]  Miguel Romero,et al.  Fractional-Order Generalized Predictive Control: Application for Low-Speed Control of Gasoline-Propelled Cars , 2013 .

[24]  Guoqiang Zeng,et al.  Population extremal optimization-based extended distributed model predictive load frequency control of multi-area interconnected power systems , 2018, J. Frankl. Inst..

[25]  Wu Jiekang,et al.  Intelligent Scheduling Optimization of Seasonal CCHP System Using Rolling Horizon Hybrid Optimization Algorithm and Matrix Model Framework , 2018, IEEE Access.

[26]  Huan Wang,et al.  Optimal Droop Control of Distributed Inverters in a Microgrid Under Autonomous Mode Based on Differenial Evolution , 2018, 2018 Chinese Automation Congress (CAC).

[27]  Hak-Man Kim,et al.  Analyzing the Impacts of System Parameters on MPC-Based Frequency Control for a Stand-Alone Microgrid , 2017 .

[28]  Lei Zhang,et al.  Decoupled Power Control for a Modular-Multilevel-Converter-Based Hybrid AC–DC Grid Integrated With Hybrid Energy Storage , 2019, IEEE Transactions on Industrial Electronics.

[29]  Radu-Emil Precup,et al.  Data-driven MIMO model-free reference tracking control with nonlinear state-feedback and fractional order controllers , 2018, Appl. Soft Comput..

[30]  Hassan Bevrani,et al.  Robust Power System Frequency Control , 2009 .

[31]  Zhaoxia Wang,et al.  Secondary Frequency Stochastic Optimal Control in Independent Microgrids with Virtual Synchronous Generator-Controlled Energy Storage Systems , 2018, Energies.

[32]  Furong Gao,et al.  Model Predictive Control Under Constraints , 2018, Model Predictive Control.

[33]  Tomonobu Senjyu,et al.  Robust Load Frequency Control Schemes in Power System Using Optimized PID and Model Predictive Controllers , 2018, Energies.

[34]  Ridong Zhang,et al.  Design of fractional order modeling based extended non-minimal state space MPC for temperature in an industrial electric heating furnace , 2017 .

[35]  Tao Yu,et al.  Adaptive fractional-order PID control of PMSG-based wind energy conversion system for MPPT using linear observers , 2018, International Transactions on Electrical Energy Systems.

[36]  Nooshin Bigdeli,et al.  The design of a non-minimal state space fractional-order predictive functional controller for fractional systems of arbitrary order , 2015 .

[37]  Pantelis Sopasakis,et al.  Robust model predictive control for discrete-time fractional-order systems , 2015, 2015 23rd Mediterranean Conference on Control and Automation (MED).

[38]  Eduardo F. Camacho,et al.  Lyapunov‐based hybrid model predictive control for energy management of microgrids , 2018, IET Generation, Transmission & Distribution.

[39]  Vishal Kumar,et al.  Microgrid modelling: A comprehensive survey , 2018, Annu. Rev. Control..

[40]  Hongbin Sun,et al.  Distributed, Bounded and Finite-Time Convergence Secondary Frequency Control in an Autonomous Microgrid , 2019, IEEE Transactions on Smart Grid.

[41]  Guoqiang Zeng,et al.  Design of fractional order PID controller for automatic regulator voltage system based on multi-objective extremal optimization , 2015, Neurocomputing.

[42]  Kwang Y. Lee,et al.  Effects of fractional-order PI controller on delay margin in single-area delayed load frequency control systems , 2018, Journal of Modern Power Systems and Clean Energy.

[43]  Miguel Romero,et al.  Arbitrary real-order cost functions for signals and systems , 2011, Signal Process..

[44]  Ashraf Saleem,et al.  Design of a fractional order PID controller with application to an induction motor drive , 2018, Turkish J. Electr. Eng. Comput. Sci..

[45]  Zhe Chen,et al.  Model Predictive Control of PMSG-Based Wind Turbines for Frequency Regulation in an Isolated Grid , 2018, IEEE Transactions on Industry Applications.